Answers
Answer:
\( \huge \boxed{ \boxed {\sf \: a)49 {x}^{2} + 14x + 1}}\)
Step-by-step explanation:
to understand thisyou need to know about:composition of functionPEMDAStips and formulas:\((g \circ f)x \iff g(f(x))\)let's solve:\( \sf sustitute \: the \: value \: of \: f(x) \: to \: g(x) : \\ \sf (7x + 1 {)}^{2} \)\( \sf use \: (a + b {)}^{2} = {a}^{2} + 2ab + {b}^{2} \: to \: simplify : \\ (7x {)}^{2} + 2.7x.1 + ( {1)}^{2} \)\( \sf simplify : \\ 49 {x}^{2} + 14x + 1\)___________________________________
\(\huge\underline{\tt{\red{Problem:}}}\)
Given \( \tt{f(x) = 7x + 1}\)and \( \tt{g(x) = {x}^{2} }\)find, \( \tt{( \: g \: \: • \ \: f \: )(x)}\).\(\huge\underline{\tt{\red{Formula:}}}\)
\( \tt{( \: g \: \: • \ \: f \: )(x)}\).
\(\huge\underline{\tt{\red{Solution:}}}\)
\(\quad\quad\quad\quad \tt{ ({x}^{2} )(7x + 1)}\)
\(\quad\quad\quad\quad \tt{ ({x}^{2} )(7x) = 7{x}^{3} }\)
\(\quad\quad\quad\quad \tt{ ({x}^{2} )( 1) = {x}^{2} }\)
Let's add it.\(\quad\quad\quad\quad \boxed{\tt{ {7x}^{3} + {x}^{2} }}\)
\(\huge\underline{\tt{\red{Answer:}}}\)
\(\huge \quad\quad \underline{\red{ \boxed{\tt{{7x}^{3} + {x}^{2} }}}}\)
___________________________________
#CarryOnLearning
✍︎ C.Rose❀
Related Questions
Please help find the answer. Thank You!
Answers
Answer:
Step-by-step explanation:
208
How to you Simplify x+4-5x-2?
Answers
Answer:
Combine the like terms
-4x+2
Thats it
Deshawn says that the ratios 3:5 and 5:7 are equivalent ratios because by adding 2 to both terms of 3:5 you get 5:7. Is Deshawn correct? Explain
Answers
Answer:
False
Step-by-step explanation:
3:5 and 5:7 can also be written as 3/5 and 5/7 and 3/5≠5/7
Answer:
no
Step-by-step explanation:
3:5 and 5:7 can also be written as 3/5 and 5/7
10. The box plot shows donations in dollars to charity.
Describe the shape of the distribution.
Donations to Charity ($)
20 40 60 80 100 120 140 160 180 200 220
Answers
The given shape of the distribution is not symmetric.
Given that, a box plot shows donations in dollars to charity.
We need to describe the shape of the distribution.
Donations to Charity ($) =
20 40 60 80 100 120 140 160 180 200 220
so, as we can see,
The shape of the distribution is not symmetric since the lengths of each box and whisker are not the same. There is an outlier at 220.
Hence, the given shape of the distribution is not symmetric.
Learn more about box plot click;
https://brainly.com/question/1523909
#SPJ1
What is the sum of 8 3/4 + 2 1/2
Answers
Answer:
11.25
Step-by-step explanation:
Write an explicit formula for an, the nth term of the sequence 63,21,7
Answers
Answer:
63/3=2121/3=77/3=7 -3
income from operations of $231,000. In addition, it received interest income of $23,100 and received dividend income of $29,700 from another corporation. Finally, it paid $11,000 of interest income to its bondholders and paid $45,000 of dividends to its common stockholders. The firm's federal tax rate is 21%. What is the firm's federal income tax? Do not round intermediate calculations. Round your answer to the nearest dollar.
Answers
The firm's federal income tax is $57,168.
To calculate the firm's federal income tax, we need to determine its taxable income first. Taxable income is calculated by subtracting deductions from the firm's total income.
In this case, the firm's total income consists of income from operations, interest income, and dividend income.
Total income:
Income from operations = $231,000
Interest income = $23,100
Dividend income = $29,700
Total income = $231,000 + $23,100 + $29,700 = $283,800
Next, we deduct expenses from the total income. In this case, the only relevant expense is the interest paid to bondholders:
Total expenses = Interest paid to bondholders = $11,000
Taxable income = Total income - Total expenses = $283,800 - $11,000 = $272,800
Now, we can calculate the federal income tax by applying the federal tax rate of 21% to the taxable income:
Federal income tax = Taxable income * Federal tax rate
Federal income tax = $272,800 * 0.21 = $57,168
Therefore, the firm's federal income tax is $57,168.
For more such questions on tax,click on
https://brainly.com/question/28414951
#SPJ8
Please look at the picture and answer it. Thank you.
Answers
Answer: 140
Step-by-step explanation:
As you can see the angles are identical which means both sides are 140!
At Target you found two sweaters that each cost $20.94, a pair of jeans that cost $17.83, and three pairs of shoes for $24.32 each. After 6.5% sales tax what is the total cost of the bill?
Answers
Given:-
Cost of sweaters is $20.94
Cost of pair of jeans is $17.83
Cost of three pair of shoes is $24.32
To find:-
The total cost of the bill with 6.5% sales tax.
Cost of two sweater is,
\(2\times20.94=41.88\)Cost of one pair of jeans is,
\(1\times17.83=17.83\)Cost of three pairs of shoes is,
\(3\times24.32=72.96\)To find the total cost we need to add all the three cost. so we get,
\(41.88+17.83+72.96=132.67\)Now we find the 6.5% of 132.67. we get,
\(\frac{6.5}{100}\times168=10.941\)Now we add,
\(undefined\)Find the lengths of the missing sides in the triangle. Write your answers as integers or as decimals rounded to the nearest tenth.
Answers
Answer:
The last one \((x=11.3, y=8)\).
Step-by-step explanation:
1) There are three trigonometric ratios for right-angled triangles.
\(sin()=\frac{opposite}{hypotenuse}\\cos()=\frac{adjacent}{hypotenuse}\\tan()=\frac{opposite}{adjacent}\)
In a right triangle, the hypotenuse, h, is the side opposite the right angle. Relative to the acute angle θ, check the attachment, the legs are called the opposite side, o, and the adjacent side a.
2) In this case, we are given a length and an angle to find x and y.
Let's find x first. To find x we need to use \(sin()=\frac{opposite}{hypotenuse}\).
\(sin(45)=\frac{8}{x}\\sin(45)x=8\\x=\frac{8}{sin(45)} \\x=11.31\)
Find y.
Notice that, we can use the Pythagorean Theorem \((c^2=a^2+b^2)\) to find y.
\(c^2=a^2+b^2\)
\(11.31^2=8^2+b^2\\11.31^2 - 8^2 = b^2\\63.9161 = b^2\\\sqrt{63.9161} = b\\b = 7.99\)
3) Round them off to the nearest tenth.
\(x=11.31\\x=11.3\)
\(y=7.99\\y=8\)
Therefore, the correct choice is the last one \((x=11.3, y=8)\).
eden purchased a home for $156,200. The home appreciates about 4.5% each year. what is the value of the home after 17 years?
Answers
Answer:
590,088
Step-by-step explanation:
So you divide 156,200 by 4.5 then once you have that times it bye the 17 years I think
What is the measure of an exterior angle of a regular 14-sided polygon? Enter your answer as a decimal in the box. Round to the nearest tenth of a degree.
Answers
Answer:
21.715 degrees.
Step-by-step explanation:
There are 14 vertexes (vertices) for a 14-gon. It is 'regular' so all these angles are equal. So the exterior angle of each is 180-154.285 = 21.715 degrees.
Compare the table and equation. x y 1 3 2 6 3 9 Equation: y = 4x Which representation has the greatest slope?
a) The equation has the greatest slope.
b) The table has the greatest slope.
c) The table and equation have the same slope.
d) Their slopes cannot be determined.
Answers
Answer:
a) The equation has the greatest slope.
Step-by-step explanation:
The table has the values as shown below;
x y
1 3
2 6
3 9
The gradient of the line can be found as;
m=Δy/Δx
m= 9-3 /3-1
m= 6/2
m₁= 3
The equation of the other line is : y=4x
The gradient is , m₂ = 4
The presentation with the greatest slope is the equation that has a slope of 4.
The bill for dinner was $55.21. You left $9.79 for the tip. What percentage of the original bill was the tip? Round your answer to the nearest whole percent.
Answers
The tip was 17.73% of the original bill.
Percent is the value which indicate hundredth part of the quantity .
For Example : 50/100 represents 50%.
It is given in the question that
Bill for dinner = $55.21
Tip given = $9.79
Tip percentage can be calculated using
Tip percent = (tip given / total bill) * 100
Tip percent = (9.79/55.21) * 100
= 0.1773 * 100
= 17.73 %
Therefore , the bill for the dinner was $55.21 and $9.79 was left for the tip ,the percent tip was 17.73% of the original bill .
Learn more about Percentage here
https://brainly.com/question/183189
#SPJ1
Which quadratic equation has roots-8 + 3i and -8 - 3i?
A x^2 - 16x + 73 = 0
B x^2 - 16x + 79 = 0
C x^2 + 16x + 79 = 0
D x^2 + 16x + 73 = 0
Answers
The two roots are
\(\alpha = -8+3i,~~~ \beta = -8-3i\\\\\\x^2 - (\alpha + \beta)x + \alpha \beta = 0\\\\\implies x^2 - (-8+3i-8-3i)x + (-8+3i)(-8-3i)=0\\\\\implies x^2 +16x + (-8)^2+3^2 =0\\\\\implies x^2 +16x +64+9=0\\\\\implies x^2 +16x +73\)
Hence the answer is D.
What is the value of x?
URGENT
Answers
Answer:
14
Step-by-step explanation:
angle 90° is opposite the side x. angle 45° is opposite side 7√2.
x/sin 90 = (7√2)/sin 45
multiply both sides by sin 90 (sin 90 is = 1).
x = (7√2)/sin 45
= 14
Using the table, what is the average daily balance of the credit card for the October 1 - October 31 billing period? Round your answer to the nearest cent. Do not include a dollar sign or comma in your answer. For example, $5,678.00 should be entered as 5678.00. Day 1112131 Activity − Payment Purchase Purchase Adjustment −−2000+1500+1000 Closing Balance 100008000950010500
Answers
The balance based on the.data given in the table is shown below.
Balance from day 1 to 10 = 11000
Balance from day 11 to 21= 8000
Balance from day 21 to 30- 5500
Balance on day 31 7500
How to explain the balanceBalance from day 1 to 10= 11000
Balance from day 11 to 21= 8000 Balance from day 21 to 30 5500
Balance on day 31- 7500
The average daily balance of the credit card for the month of december is:
Average daily balance The ratio of total balance from each day in cycle to the total number of days in cycle.
Total balance from each day in cycle=
(11000 x 10)+(8000 × 10)+(5500 x 10) + (7500 x 1) = 104000
Average daily balance=104000 / 31
= 8145
Learn more about balance on
https://brainly.com/question/24914390
#SPJ1
how many whole numbers in between 50 and 150 that are multiples of 7 but not 4?
Be quick!!!!!!!!!!!
Answers
=============================================================
Explanation:
What we need to do is first find out how many multiples of 7 are between 50 and 150.
Divide 50 over 7 to get 50/7 = 7.1 approximately. So we can see that 7*7 = 49 and 7*8 = 56. This shows that 56 is the smallest such multiple of 7 between 50 and 150.
We'll do the same for 150. So, 150/7 = 21.4 approximately which means 7*21 = 147 and 7*22 = 154
The multiples of 7 between 50 and 150 are: {56, 63, ..., 147}
We can rewrite that list into {7*8, 7*9, ..., 7*21}
For each multiplication, we have 7 times something. That "something" is in the list {8, 9, ..., 21} in which we see there are 21-8+1 = 14 items here. I used the formula b-a+1 to count the number of whole numbers from 'a' to b, including both endpoints.
In short, there are 14 multiples of 7 between 50 and 150.
That would be the final answer if we weren't worried about ignoring multiples of 4.
However, what we need to do now is look at the list {8, 9, ..., 21} and see which of those are multiples of 4. That sub-list is {8, 12, 16, 20} and those values will be kicked out. So we'll go from 14 multiples of 7 to 14-4 = 10 multiples of 7.
4. Uncle Royce is 42. What is his target heart rate range?
O 120-180 beats per minute
O 150-200 beats per minute
O116-160 beats per minute
O170-236 beats per minute
Answers
Step-by-step explanation:
70 to 85 % of his maximum
Maximum is estimated to be 220 - age = 220 - 42 = 178
70% of this is 125
85 % is 89 151
I believe I would go with the third choice 116-160 bpm
If a quadrilateral is a rhombus, the diagonals bisect each other.
True
False
Answers
Answer: I think it is false...
Solve the system of equations using the substitution or elimination method.
y = 4x - 7
4x + 2y = -2
.
Show your work
Correct x and y
Answers
The solution to the system of equations is x = 1 and y = -3.
To solve the system of equations using the substitution or elimination method, let's start with the substitution method.
Given equations:
y = 4x - 7
4x + 2y = -2
We'll solve equation 1) for y and substitute it into equation 2):
Substituting y from equation 1) into equation 2):
4x + 2(4x - 7) = -2
4x + 8x - 14 = -2
12x - 14 = -2
Now, we'll solve this equation for x:
12x = -2 + 14
12x = 12
x = 12/12
x = 1
Now that we have the value of x, we can substitute it back into equation 1) to find y:
y = 4(1) - 7
y = 4 - 7
y = -3
Therefore, the solution to the system of equations is x = 1 and y = -3.
for such more question on system of equations
https://brainly.com/question/4262258
#SPJ8
Find the first four terms of the sequence given by the following.
4,=(-1)".31%, n=1, 2, 3, ...
Answers
Answer:
The first term of the sequence is:
a₁ = -3a₂ = 12a₃ = -27a₄ = 48Step-by-step explanation:
Given the sequence
aₙ = (-1)ⁿ · 3n²
substituting n = 1 to determine the first term
a₁ = (-1)¹ · 3(1)²
a₁ = (-1)¹ · 3(1)²
Applying the exponent rule: \(a^1=a\)
a₁ = -1 · 3(1)
a₁ = -1 · 3
a₁ = -3
substituting n = 2 to determine the 2nd term
a₂ = (-1)² · 3(2)²
a₂ = 1 · 3(4)
a₂ = 12
substituting n = 3 to determine the 3rd term
a₃ = (-1)³ · 3(3)²
a₃ = -1 · 3(9)
a₃ = -1 · 27
a₃ = -27
substituting n = 4 to determine the 4th term
a₄ = (-1)⁴ · 3(4)²
a₄ = 1 · 3(16)
a₄ = 1 · 48
a₄ = 48
Therefore, the first term of the sequence is:
a₁ = -3a₂ = 12a₃ = -27a₄ = 48Simplify the expression 2x - 7 + 4x
Answers
Answer:
6x−7
Step-by-step explanation:
2x−7+4x
=2x+−7+4x
Combine Like Terms:
=2x+−7+4x
=(2x+4x)+(−7)
=6x+−7
Answer:6x-7
The like terms in the expression are 2x and 4x, so therefore you add them together and you get 6x.
Help I don’t get this
Answers
Answer:
0.04 gallons in one mile
Step-by-step explanation:
Basically, you lose 2 in 50 miles. So in order to figure out how many you lose in one mile, you would take 2/50, which would give you 0.04.
smalles of 3 .3 .33 .333
Answers
0.3 is the lowest possible value
A pole that is 2.6 m tall casts a shadow that is 1.26 m long. At the same time, a nearby tower casts a shadow that is 37.25 m long. How tall is the tower?
Answers
Answer:
Step-by-step explanation:
The ratio of height to shadow length will be proportional.
2.6 / 1.26 = h / 37.25
h = 37.25(2.6)/1.26 = 76.865079...
h = 76.9 m
8. Consider the D.E. yy'= -x +
1/2
a. Find the implicit general solution of this
equation. What is the condition that c
should satisfied? (c is the constant that
appears in the solution).
b. (T) is the family of curves of the
general solution in an orthonormal
system. What is the nature of this graph?
(such curves are called integral curves of
the D.E.)
c. Find the graph (T) that passes through
the origin O(0, 0).
Answers
The implicit general solution is 0.5y² = -0.5x² + 0.5x + C, here C should pass through the origin of the circle. The family of curves (T) represents the integral curve. The graph (T) is represented below.
a. To find the implicit general solution of the given differential equation, we can integrate both sides with respect to x. Let's start by rewriting the equation:
yy' = -x + 1/2
Integrating both sides:
∫ yy' dx = ∫ (-x + 1/2) dx
Using integration by parts on the left side, let u = y and dv = y' dx:
\(\int u dv = uv - \int v du\\\\y\int dy = \int (-x + 1/2) dx\\\\1/2 y^2 = -1/2 x^2 + 1/2 x + C\\\\0.5y^2 = -0.5x^2+0.5x+C\)
Where C is the constant of integration. This is the implicit general solution of the given differential equation.
b. The family of curves (T) that represents the general solution in an orthonormal system is known as the integral curves of the differential equation.
c. To find the graph (T) that passes through the origin O(0, 0), we substitute the point (x, y) = (0, 0) into the implicit general solution and solve for C:
\(1/2(0)^2 = -1/2(0)^2 + 1/2(0) + C\\\\0 = 0 + 0 + C\\\\\C = 0\)
So the graph (T) that passes through the origin is given by:
\(1/2 y^2 = -1/2 x^2 + 1/2 x\)
This equation represents the specific curve that satisfies both the differential equation and the condition of passing through the origin.
Learn more about Implicit General Solution here:
https://brainly.com/question/31426018
#SPJ1
Rewrite as a simplified fraction.
_
0.23 = ?
Answers
Answer:
23/100
Step-by-step explanation:
Gretta travels 77 miles per hour for 5 hours, find the distance traveled in miles
Answers
Answer: 358 miles
Step-by-step explanation:
Answer: 385
Step-by-step explanation: 77x5
The daily demand for ice cream cones at a price of $1.20 per cone is 50 cones. At a price of $2.20 per cone, the demand is 30 cones. Use linear interpolation to estimate the demand at a price of $1.50 per cone.
Answers
Answer:
The demand at a price of $1.50 per cone is 44 conesStep-by-step explanation:
let us apply the interpolation formula to solve this problem
we have
\(\frac{y-y1}{x-x1} =\frac{y2-y1}{x2-x1}\)
Now let us set the values to the notation above
x= $1.20
x1= $2.20
x2= $1.50
y = 50 cones
y1= 30 cones
y2= ?
\(y2= \frac{(y-y1)}{(x-x1)} (x2-x1)+y1\)
Substituting our given data we have
\(y2= \frac{(50-30)}{(1.2-2.2)} (1.5-2.2)+30\\\\y2= \frac{20}{-1} (-0.7)+30\\\\y2= (20*0.7)+30\\y2= 14+30\\y2= 44\)
the demand at a price of $1.50 per cone is 44 cones