Make g the subject of the formula w=7- square root g
Answers
The value of g is g = w² - 14w + 49, according to the question.
What do you mean by formula?
A truth or a rule expressed using mathematical symbols is the formula. An equal sign is typically used to connect two or more values. When you are aware of the value of one quantity, you can use the formula to determine the value of the other. It facilitates speedy question resolution. Formulas are used in algebra, geometry, and other subjects to speed up and simplify the process of arriving at the result.
According to the given question,
We have :
w = 7 - √g
Firstly isolate the g,
w = 7 - √g
Do the opposite of PEMDAS, first subtract 7 from both sides,,
w (-7) = -√g + 7 (-7)
w - 7 = -√g
Now, multiply -1 (as -√g is the same as -1√g) to both sides
-1(w - 7) = √g
-1w + 7 = √g
To get rid of the square root, you must square both sides,
Note: -1w is the same as -w.
Note: you are squaring all the terms on the other side, not just one.
(-w + 7)² = (√g)²
g = (-w + 7)²
g = (-w + 7)(-w + 7) (note, this can be the answer your teacher wants, or g = (-w + 7)² )
Use the FOIL method (First, Outside, Inside, Last)
(-w)(-w) = w²
(-w)(7) = -7w
(7)(-w) = -7w
(7)(7) = 49
g = w² - 7w - 7w + 49
Then, simplify (combine all like terms):
g =w² - 7w - 7w + 49
g = w² - 14w + 49
Therefore, the value of g = w² - 14w + 49 .
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Related Questions
If angle ABD is 90 degrees, select all of the angles that measure 42 degrees.
Thank u :)
Answers
Answer:
Measure of angle 2 and angle 4 is 42°.
Step-by-step explanation:
m∠ABC = 42°
m(∠ABD) = 90°
m(∠ABD) = m(∠ABC) + m(∠DBC)
90° = 43° + m(∠DBC)
m(∠DBC) = 90 - 43 = 47°
Since ∠ABC ≅ ∠4 [Vertical angles]
m∠ABC = m∠4 = 42°
Since, m∠3 + m∠4 = 90° [Complimentary angles]
m∠3 + 42° = 90°
m∠3 = 90° - 42°
= 48°
Since, ∠5 ≅ ∠3 [Vertical angles]
m∠5 = m∠3 = 48°
m∠3 + m∠2 = 90° [given that m∠2 + m∠3 = 90°]
m∠2 + 48° = 90°
m∠2 = 90 - 48 = 42°
m∠3+ m∠4 = 90° [Since, ∠3 and ∠4 are the complimentary angles]
48° + m∠4 = 90°
m∠4 = 90 - 48 = 42°
Therefore, ∠2 and ∠4 measure 42°.
Please help 60 points for a rapid answer-In the figure below which of the following is true in circle E?
Answers
Answer:
all 3 options are true : A, B, C
Step-by-step explanation:
warning : it has come to my attention that some testing systems have an incorrect answer stored as right answer for this problem.
they say that A and C are correct.
but I am going to show you that if A and C are correct, then also B must be correct.
therefore, my given answer above is the actual correct answer (no matter what the test systems say).
originally the information about the alignment of the point F in relation to point E was missing.
therefore, I considered both options :
1. F is on the same vertical line as E.
2. F is not on the same vertical line as E.
because of optical reasons (and the - incomplete - expected correct answers of A and C confirm that) I used the 1. assumption for the provided answer :
the vertical line of EF is like a mirror between the left and the right half of the picture.
A is mirrored across the vertical line resulting in B. and vice versa.
the same for C and D.
this leads to the effect that all 3 given congruence relationships are true.
if we consider assumption 2, none of the 3 answer options could be true.
but if the assumptions are true, then all 3 options have to be true.
now, for the "why" :
remember what congruence means :
both shapes, after turning and rotating, can be laid on top of each other, and nothing "sticks out", they are covering each other perfectly.
for that to be possible, both shapes must have the same basic structure (like number of sides and vertices), both shapes must have the same side lengths and also equally sized angles.
so, when EF is a mirror, then each side is an exact copy of the other, just left/right being turned.
therefore, yes absolutely, CAD is congruent with CBD. and ACB is congruent to ADB.
but do you notice something ?
both mentioned triangles on the left side contain the side AC, and both triangles in the right side contain the side BD.
now, if the triangles are congruent, that means that each of the 3 sides must have an equally long corresponding side in the other triangle.
therefore, AC must be equal to BD.
and that means that AC is congruent to BD.
because lines have no other congruent criteria - only the lengths must be identical.
Find a closed form expression for how many different types of towers of height n are possible, that can be made by vertically stacking short and tall blocks, when all short blocks have height 1 and come in two different colors {Shortblue, Shortred}, while all tall blocks have height 2 and come in 3 different colors {Tallgreen, Tallyellow, Tallpink}? For example, note that there are two possible towers of height n = 1 because we can only use one of the short blocks, and there are 2 x 2 +3 = 7 possible towers of height n = 2 because we can either stack two short blocks (4 possibilities) or use one tall block (3 possibilities). Hint: Let the number of different possible towers of height n be y[n]. We have y[n] = 0 for n < 0, y[1] = 2, y[2] = 7, and y[n] = 2y[n- 1] +3y[n– 2] (erplain why) for n > 2. Set up a difference equation valid for all n by including a suitable input t[n], and use z-transforms to solve it to find y[n] in closed form.
Answers
The closed form expression for the number of different possible towers of height n is:
y[n] = [⅔ + (⅔) x cos(n x pi/4) + (⅔) x sin(n x pi/4)] x 2ⁿ
How did we get this expression?First, define y[n] as the number of different possible towers of height n. As given in the problem statement, y[1] = 2 and y[2] = 7. Below are the recursive relation for y[n]:
- to form a tower of height n, one can either stack a short block on top of a tower of height n-1 or stack a tall block on top of a tower of height n-2.
- if one stacks a short block on top of a tower of height n-1, then there are two possibilities for the color of the short block. This gives 2 x y[n-1] possible towers.
- if one stack a tall block on top of a tower of height n-2, then there are three possibilities for the color of the tall block. This gives 3x y[n-2] possible towers.
- Therefore, y[n] = 2 x y [n-1] + 3 x y[n-2] for n > 2.
Now, define a new sequence t[n] as thus:
- t[n] = 1 for n = 1 or n = 2
- t[n] = 0 for n < 1
Use t[n] to rewrite the recursive relation for y[n] as:
y[n] - 2 x y[n-1] - 3 x y[n-2] = 0
Take the z-transform of both sides of this equation to obtain:
Y(z) - 2z⁻¹ × Y(z) - 3z⁻² × Y(z) = y[0] + y[1] × z⁻¹
Substituting y[0] = 1, y[1] = 2, and simplifying, we get:
Y(z) = (2z⁻¹ + 1)/(z² - 2z + 3)
Now, use partial fraction decomposition to write Y(z) in the form:
Y(z) = A/(z - (1 + i)) + B/(z - (1 - i)) + C/(z - 2)
where i = √(2)i/2.
Multiplying both sides by the denominator and equating the numerators, we get:
2z⁻¹ + 1 = A(z - (1 - i))(z - 2) + B(z - (1 + i))(z - 2) + C(z - (1 + i))(z - (1 - i))
Setting z = 0, z = 1 + i, and z = 1 - i, we can solve for A, B, and C to get:
A = (2 + 2i)/3, B = (2 - 2i)/3, C = 2/3
Therefore, we have:
Y(z) = (2 + 2i)/(3 × (z - (1 + i))) + (2 - 2i)/(3 × (z - (1 - i))) + 2/(3 × (z - 2))
Now, we can use the formula for the inverse z-transform of a rational function to obtain the closed form expression for y[n]:
y[n] = [2/3 + (2/3) × cos(n × pi/4) + (2/3) × sin(n × pi/4)] × 2ⁿ
Therefore, the closed form expression for the number of different possible towers of height n is:
y[n] = [2/3 + (2/3) × cos(n × pi/4) + (2/3) × sin(n × pi/4)] × 2ⁿ
This is the solution to the problem. It can be verified that this expression satisfies the initial conditions y[1] = 2 and y[2] = 7, and the recursive relation y[n] = 2 × y[n-1] + 3 × y[n-2] for n > 2.
The expression can also be simplified as:
y[n] = (4/3) × 2ⁿ + (2/3) × cos(n × pi/4)
This form makes it clear that the growth rate of y[n] is dominated by the exponential term 2ⁿ, and the cosine term only contributes a small periodic variation.
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Guided Practice
Find the range of the function rule y = 5x – 2 for the domain.
{–1.2, 0, 4}
A.
{–8, –2, 18}
B.
{–4, 2, 22}
C.
{0.16, 0.4, 1.2}
Answers
Answer:
A. {–8, –2, 18}
Step-by-step explanation:
y = 5x − 2
x = −1.2 ----> y = 5(−1.2) − 2 = −6 − 2 = −8
x = 0 -----> y = 5(0) − 2 = 0 − 2 = −2
x = 4 -----> y = 5(4) − 2 = 20 − 2 = 18
Four students are to solve 5(x-3)=2x+6 which solution and explanation is right?
Answers
Answer: x = 7
Step-by-step explanation: Since I don't know the full question, I only knwo the only to 5(x-3)=2x+6. How you solve it is to isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
x=7
Step-by-step explanation:
distribute 5 to the x and -3
5x-15=2x+6
then you try to get x by itself
I subtracted 2x from 5x and then I got
3x-15=6
then get x by itself still, I added 15 to both sides and I got
3x=21 Then divide and you get
x=7
Hope this helps
Please help me, Please real answers only thanks
Answers
Answer:
A.
Step-by-step explanation:
substitution of coordinates
the expected value is equal in mathematical computation to the ____________
Answers
The expected value is the long-term average outcome of a random variable. It is calculated by multiplying each possible outcome by its probability and summing them up. In simpler terms, it represents the average value we expect to get over many trials.
The expected value is a concept in probability and statistics that represents the long-term average outcome of a random variable. It is also known as the mean or average. To calculate the expected value, we multiply each possible outcome by its probability and sum them up.
For example, let's say we have a fair six-sided die. The possible outcomes are numbers 1 to 6, each with a probability of 1/6. To find the expected value, we multiply each outcome by its probability:
1 * 1/6 = 1/62 * 1/6 = 2/63 * 1/6 = 3/64 * 1/6 = 4/65 * 1/6 = 5/66 * 1/6 = 6/6Summing up these values gives us:
1/6 + 2/6 + 3/6 + 4/6 + 5/6 + 6/6 = 21/6 = 3.5
Therefore, the expected value of rolling a fair six-sided die is 3.5. This means that if we roll the die many times, the average outcome will be close to 3.5.
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(1.) Convert 25 in base 10 into base 2
(2.)Convert 101011 in base 2 into base 5
Answers
answer here!
sry it is a bit messy
Answer:
1) 11001 base 2
2)133 base 5
1) To convert base 10 into base 2
25/2= 12remainder 1
from this point on, the remainders will be replaced by r
12/2= 6r0
6/2=3r0
3/2=1r1
1/2=0r1
The remainders are then written down from the bottom up
= 11001
2) To convert 101011 base 2 into base 5
101011= 1×2⁵ + 0×2⁴+ 1×2³+ 0×2² + 1×2¹ + 1×2⁰
=1×32 + 0×16 + 1×8+ 0×4+1×2+1×1
=32+0+8+0+2+1
=43 base 10
Then convert 43 base 10 to base 5
43/5=8r3
8/5=1r3
1/5=0r1
=133 base 5
Question 2 of 9
Which of the expressions are equivalent to the one below? Check all that
apply.
6. (2 + 8)
A. (8 + 2).6
B. 6. (8 + 2)
OC. 6. 2+ 6.8
O D. (6. 2) + 8
Answers
Answer:
A, B, and C
Step-by-step explanation:
6*(2+8)=60
6*(8+2)=60
6*2+6*8=60
(6*2)+8=20
Election returns came in/A from upstate New York quite rapid/B , but the results from New York City
were known/C, even faster/D. No error/E
Answers
Election returns came in/A from upstate New York quite rapid/B , but the results from New York City were even faster/D.
What makes New York unique in terms of elections?New York is close to special among the states in that it permits discretionary combination (cross-support), permitting at least two gatherings to name a similar individual for office. Truant voting forms are took into account electors who are away from their home on final voting day, sick, or genuinely handicapped. The consequences of races in the territory of New York have would in general be more Democratic-inclining than in a large portion of the United States, with in ongoing many years a strong greater part of Democratic electors. The states have the power to figure out which discretionary frameworks they will use in challenges for state-level workplaces. The frameworks utilized in challenges for government office should comply with administrative sacred rules, as well as pertinent state regulations.
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Below are the zonal and meridional equations of motion (including curvature terms). The scaling term and magnitude for friction are provided:
dt
du
−
a
uvtanϕ
+
a
uw
=−
rho
1
∂x
∂p
+fv−2Ωcosϕw+F
x
Friction
D
2
vU
10
−12
dt
dv
+
a
u
2
tanϕ
+
a
vw
=−
rho
1
∂y
∂p
−fu+F
y
Friction
D
2
vU
10
−12
Given the above, do the following: a) Label what each term physically represents in the equations above. (11 points)
Answers
The terms in the given equations represent various physical quantities and processes related to the zonal and meridional motion of a fluid.
What does "rho1*∂y/∂p" represent?The term "rho1*∂y/∂p" represents the horizontal pressure gradient force in the meridional direction. It describes the change in pressure with respect to meridional distance and influences the fluid motion. The pressure gradient force acts perpendicular to the isobars (lines of constant pressure) and drives the fluid from regions of high pressure to low pressure.
The term "rho1" represents the density of the fluid, which determines its mass per unit volume. The density influences the magnitude of the pressure gradient force and is typically assumed to be constant in these equations.
The term "∂y/∂p" represents the derivative of meridional distance with respect to pressure. It quantifies the spatial variation of the meridional coordinate as pressure changes. A larger ∂y/∂p indicates a steeper meridional gradient and can result in stronger pressure gradient forces.
The combined term "rho1*∂y/∂p" captures the effect of the pressure gradient force in the meridional direction, driving fluid motion across lines of constant pressure.
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Someone please helppp
Answers
Answer:
Option B is the right answer.
Step-by-step explanation:
x ^2 -7x+12 = (x-4)(x-3)
so, if we put x=3 or 4 than it will be undefined. hope u understand.
-0.931 as a fraction
Answers
Answer:
-0.931
-----------
1000
Step-by-step explanation:
-0.931 = -931/1000
15 POINTS PLEASE HELP
Answers
18
Solve: 2x-4 = -(x-6)/2
Answers
Answer:
x = 14/5
Step-by-step explanation:
2x-4= -x-6/2
multiply by 2 on both sides to get rid of the fraction
4x-8= -x-6
add both sides by 8 and both sides by x to get the constants on the right and the variables on the left
4x+x=6+8
combine like terms/simplify
5x=14
divide both sides by 5 to isolate the x
x=14/5
i hope this helps :)
find the inverse of the function. f(x) = 3 sqrt x/7 - 9
Answers
The inverse of the function f(x) = (3√(x/7)) - 9 is f^(-1)(x) = 7x + 63.
To find the inverse of the function f(x) = (3√(x/7)) - 9, we need to interchange the roles of x and f(x) and solve for x.
Replace f(x) with y.
y = (3√(x/7)) - 9
Swap x and y.
x = (3√(y/7)) - 9
Solve the equation for y.
x + 9 = 3√(y/7)
Remove the cube root by cubing both sides.
(x + 9)^3 = [3√(y/7)]^3
Simplify.
(x + 9)^3 = (3√(y/7))^3
(x + 9)^3 = (y/7)^3
Remove the cube by taking the cube root of both sides.
∛((x + 9)^3) = ∛((y/7)^3)
Simplify.
x + 9 = y/7
Multiply both sides by 7.
7(x + 9) = y
Rewrite y as the inverse function.
f^(-1)(x) = 7x + 63
Therefore, the inverse of the function f(x) = (3√(x/7)) - 9 is f^(-1)(x) = 7x + 63.
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Kiki divides 14 yard of tape into 4 equal pieces.
What is the length of each piece of tape?
Answers
The top edge of the window is a semicircle. The distance across the window is 2.5 ft. What is the distance around the top edge of the window? Use 3.14 for π, and round your answer to the nearest tenth.
2.5 ft
3.9 ft
5 ft
7.85 ft
Answers
Answer: 3.9 ft
Step-by-step explanation:
From the question, the distance across the window which is 2.5 ft is the diameter. Therefore, radius will be:
= 2.5 / 2
= 1.25 ft
Then, we calculate the circumference of the circle which will be:
= 2πr
= 2 × 3.14 × 1.25
= 7.85 ft
Nite that it's a semi circle, therefore we divide the perimeter by 2. This will be:
= 7.85/2
= 3.9 feet
Answer:
b
Step-by-step explanation:
can someone please help me with this
Answers
Answer:
cogratulation you're the best math
Kimaya decided to by mangos and pineapples for her snack this week.
Mangos, m, cost $1.50 each. Pineapples, p , cost $3.00 each. She wants to spend $18
Here is Kimaya's work to solve 1.5m+3p=18:
1.5m+3p-3p=18-3p
1.5m/1.5=18-3p/1.5
m=12-2p
1. What does the 12 and -2 say about the situation
2. Solve 1.5m+3p=18 for p
Answers
If Kimaya does not buy any Pineapple then the cost of the Mangos will be 12 and for p the equation is p = 6 - 0.5m.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
Mangos, m, cost $1.50 each. Pineapples, p, cost $3.00 each. She wants to spend $18
1.5m+3p=18
After solving:
m = [1/1.5](18 - 3p)
m = 12 - 2p
If Kimaya does not buy any Pineapple then the cost of the Mangos will be 12 and -2 represents the slope.
m = 12 - 2p
p = 6 - 0.5m
Thus, if Kimaya does not buy any Pineapple then the cost of the Mangos will be 12 and for p the equation is p = 6 - 0.5m.
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are 5(8y - 8) and 40y - 40 equal?
Answers
Answer:
yes
Step-by-step explanation:
5(8y-8) = 5*8y - 5*8 by distributive property. simplify that, you get 40y-40, which is equal to 40y-40.
I hope this helped, please give brainliest if this is correct! Thank you!
If serafina saves 20% of her left over paycheck, how much will she have in 5 months.
Answers
If her pay is $8002.14. then 20% of this amount is:
\(8002.14\times\frac{20}{100}=1600.4\)After five-month this amount will be:
\(5(1600.4)=8002\)Therefore, after 5 month she will have $8002
a) A circular channel section has diameter of 6m and it is running half. Calculate the discharge through the channel if the bed slope is 1 in 600 and manning’s co efficient is equal to 0.014.
Answers
To calculate the discharge through the circular channel, we can use Manning's equation, which relates the flow rate (Q) to the channel properties and flow conditions. Manning's equation is given by:
Q = (1/n) * A * R^(2/3) * S^(1/2)
where:
Q is the discharge (flow rate)
n is Manning's coefficient (0.014 in this case)
A is the cross-sectional area of the channel
R is the hydraulic radius of the channel
S is the slope of the channel bed
First, let's calculate the cross-sectional area (A) of the circular channel. The diameter of the channel is given as 6m, so the radius (r) is half of that, which is 3m. Therefore, the area can be calculated as:
A = π * r^2 = π * (3m)^2 = 9π m^2
Next, let's calculate the hydraulic radius (R) of the channel. For a circular channel, the hydraulic radius is equal to half of the diameter, which is:
R = r = 3m
Now, we can calculate the slope (S) of the channel bed. The given slope is 1 in 600, which means for every 600 units of horizontal distance, there is a 1-unit change in vertical distance. Therefore, the slope can be expressed as:
S = 1/600
Finally, we can substitute these values into Manning's equation to calculate the discharge (Q):
Q = (1/0.014) * (9π m^2) * (3m)^(2/3) * (1/600)^(1/2)
Using a calculator, the discharge can be evaluated to get the final result.
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The state of a spin 1/2 particle in Sx basis is defined as (Ψ) = c+l + x) + i/√7 l - x) a) Find the amplitude c+ assuming that it is a real number and the state vector is properly defined. b) Find the expectation value . c) Find the uncertainty △SX.
Answers
1) The amplitude c+ is c+l
2) The expectation value is 0
3) The uncertainty ΔSX is √(3/7) c+.
Now, we know that any wave function can be written as a linear combination of two spin states (up and down), which can be written as:
Ψ = c+ |+> + c- |->
where c+ and c- are complex constants, and |+> and |-> are the two orthogonal spin states such that Sx|+> = +1/2|+> and Sx|-> = -1/2|->.
Hence, we can write the given wave function as:Ψ = c+|+> + i/√7|->
Now, we know that the given wave function has been defined in Sx basis, and not in the basis of |+> and |->.
Therefore, we need to write |+> and |-> in terms of |l> and |r> (where |l> and |r> are two orthogonal spin states such that Sy|l> = i/2|l> and Sy|r> = -i/2|r>).
Now, |+> can be written as:|+> = 1/√2(|l> + |r>)
Similarly, |-> can be written as:|-> = 1/√2(|l> - |r>)
Therefore, the given wave function can be written as:Ψ = (c+/√2)(|l> + |r>) + i/(√7√2)(|l> - |r>)
Therefore, we can write:c+|l> + i/(√7)|r> = (c+/√2)|+> + i/(√7√2)|->
Comparing the coefficients of |+> and |-> on both sides of the above equation, we get:
c+/√2 = c+l/√2 + i/(√7√2)
Therefore, c+ = c+l
The amplitude c+ is a real number and is equal to c+l
The expectation value of the operator Sx is given by: = <Ψ|Sx|Ψ>
Now, Sx|l> = 1/2|r> and Sx|r> = -1/2|l>
Hence, = (c+l*) + (c+l) + (i/√7) - (i/√7)(c+l*)= -i/√7(c+l*) + i/√7(c+l)= 2i/√7 Im(c+)
As c+ is a real number, Im(c+) = 0
Therefore, = 0
The uncertainty ΔSX in the state |Ψ> is given by:
ΔSX = √( - 2)
where = <Ψ|Sx2|Ψ>and2 = (<Ψ|Sx|Ψ>)2
Now, Sx2|l> = 1/4|l> and Sx2|r> = 1/4|r>
Hence, = (c+l*) + (c+l) + (i/√7) - (i/√7)(c+l*)= 1/4(c+l* + c+l) + 1/4(c+l + c+l*) + i/(2√7)(c+l* - c+l) - i/(2√7)(c+l - c+l*)= = 1/4(c+l + c+l*)
Now,2 = (2i/√7)2= 4/7ΔSX = √( - 2)= √(1/4(c+l + c+l*) - 4/7)= √(3/14(c+l + c+l*))= √(3/14 * 2c+)= √(3/7) c+
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A new pesticide has been introduced to the habitat of this population of beetles. One leaf contains 4 red bugs and 4 white bugs. The second leaf contains 4 red bugs and 1 white bugs. Which describes the effect of this environmental change?.
Answers
The effect of the environmental change is a decrease in the population of white bugs.
The introduction of the new pesticide likely affected the population of beetles, specifically the white bugs. Comparing the two leaves, the first leaf had an equal number of red and white bugs, while the second leaf had a higher proportion of red bugs and a lower proportion of white bugs. This suggests that the pesticide may have selectively targeted or reduced the population of white bugs, leading to a decrease in their numbers compared to the red bugs.
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What is the value of x?
In the drawing, lines g and h are parallel.
k
A
32
1200
g
B) 40
h
(2x - 470
42
D
58
Answers
Answer:
D
Step-by-step explanation:
PLEASE HELP IF U GET IT RIGHT I WILL MARK BRAINLIEST PLEASE ITS DUE IN 9 MINS
Answers
Answer: y = 1x+ -2 or y=x-2
Step-by-step explanation:
y=mx+b
-10=1(-8)+b
-10=-8+b
b=-2
Answer:
y=x-2
Step-by-step explanation:
y-(-10)=1(x-(-8)
y+10=1(x+8)
y+10=1x+8
y=1x+8-10
y=1x-2
What is the slope of the line that passes through the following points ?
(8,5) and (2,3)
Answers
Answer:
The slope of the lines is 1/3
Step-by-step explanation:
Since I can't graph it, I can make a table
x y
8 5
2 3
From 5 to 3, you subtract 2 (this is for the y section)
From 8 to 2, you subtract 6 (this is for the x section)
Now all you have to do is divide y by x....
y/x = 2/6 = 1/3 (when simplified)
Hope this helped!
I need help on the question in the attachment
Answers
Answer:
First option
Step-by-step explanation:
To make x on its own you have to take away 20 from the left side (that is where x is) and whatever you do to one side, you do to the other
this will get x by itself, meaning the equation will be
x = 30
What is the difference of the two polynomials 9x2 8x 2x2 3x?
Answers
The difference between the polynomials 9x² + 8x and 2x² + 3x is 7x² + 5x.
What is polynomials?A polynomial is formed mathematically by combining one or more algebraic terms (monomials). The roots of "polynomial" are poly- (many) and -nomial (terms). A polynomial can have exponents (powers), constants (numbers), and variables (letters), but not negative exponents or variable division.
Polynomials are typically expressed in standard form. Furthermore, because there are no similar terms among the exponents, they are arranged in descending order (largest to smallest).
To find the difference between
(9x² + 8x) - (2x² + 3x)
We do calculation
= 9x² + 8x - 2x² - 3x
= 9x² - 2x² + 8x - 3x
= 7x² + 5x
Thus, the difference between the polynomials is 7x² + 5x.
Learn more about polynomials
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