e table below for questions he below represents a linear fi -5 7 1 07 -5 1 hat is the rate of change for action
Answers
We can calculate the rate of change between two points (x1,y1) and (x2,y2) as:
\(r=\frac{y_2-y_1}{x_2-x_1}\)As function is linear, the rate of change will be constant for all points.
We choose points (-5,7) and (-3,1) and calculate the rate of change:
\(r=\frac{y_2-y_1}{x_2-x_1}=\frac{1-7}{-3-(-5)}=\frac{-6}{2}=-3\)Then, the rate of change has a value of -3.
Now, we have to find the initial value.
We interpret that the initial valule of a function is the value of y when x=0.
To find that, we need to use the equation of the line.
Knowing the slope (m=-3) and one of the points, like (-5,7), we can write the slope-point form of the equation:
\(\begin{gathered} y-y_0=m(x-x_0) \\ y-7=-3(x-(-5)) \\ y=-3(x+5)-7 \end{gathered}\)We then can find y(0) replacing x with 0:
\(\begin{gathered} y(0)=-3(0+5)+7 \\ y(0)=-3\cdot5+7 \\ y(0)=-15+7 \\ y(0)=-8 \end{gathered}\)The initial value y(0) is y=-8
Answer:
2) -3 [Option B]
3) -8 [Option A]
Related Questions
Pls help me with this question
Answers
The equation that represents the condition is m° + 66° + m° = 120°. Then the value of m is 27°.
When two lines intersect, then their opposite angles are equal. Then the equation is given as,
m° + 66° + m° = 120°
Simplify the equation for m, then the value of 'm' is calculated as,
m° + 66° + m° = 120°
2m° = 120° - 66°
2m° = 54°
m° = 27°
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Which of the following is a solution to the inequality below?
5 < q/19
Answers
Answer:
q = 114
Step-by-step explanation:
q/19 > 5
q > 19 * 5 = 95
==> q = 114 works
Answer:
rrerer
Step-by-step explanation:erewqwdqwdqd noo hlp me
Rubin has 6 rolls of pennies containing 50 coins each, 5 rolls of nickels
containing 40 coins each, 4 rolls of dimes containing 50 coins each, and 3
rolls of quarters containing 40 coins each. How much money does he have?
A. $68.40
B. $63.00
C. $8.20
D. $17.50
Answers
Answer:
300 cents in pennies
1000 cents in nickles
2000 cents in dimes
3000 cents in quarters
the answer would be B. 63.00
The table shows three unique functions.
x f(x) g(x) h(x)
-2
4
6
-3
-1
1
2
1
4-
2
1
1
55 752
6
8
1
Hit
6:
Mark this and return
-25
Which statements can be used to compare the
characteristics of the functions? Select two options.
Of(x) has an all negative domain.
g(x) has the greatest maximum value.
All three functions share the same range.
Oh(x) has a range of all negative numbers.
All three functions share the same domain.
Answers
Answer:
The statements that can be used to compare the characteristics of the functions are:
1. g(x) has the greatest maximum value.
2. All three functions share the same domain.
Explanation:
- The table shows the values of three functions - f(x), g(x), and h(x) - evaluated at different values of x.
- We cannot determine the domain of f(x) or h(x) from the given table but we can see that g(x) has a domain of all real numbers.
- We can see that g(x) has the highest maximum value among the three functions, which is 8.
- We cannot determine the range of f(x) or g(x) from the given table but we can see that h(x) has a range of all negative numbers.
- We cannot say anything about the domain or range of f(x) based on the given table.
- Therefore, the two statements that can be used to compare the characteristics of the functions are: g(x) has the greatest maximum value and all three functions share the same domain.
if a interior angle of a regular polygon is 174.5 how many sides does it have
Answers
Answer: 177.936.....
Step-by-step explanation:but since this number is not a natural number its not possible
If the x and y vector components of Vector A are 21 and 14,
what is the magnitude of Vector A? Round your answer to the
nearest hundredth.
Answers
Answer:
Step-by-step explanation:
25.24
Any help? I'm having trouble.
Answers
Answer: Decay bc its less than 1.00 (proven by the exponential decay equation)
Step-by-step explanation:
percent would be 1.00-0.96= 0.04 , 4%
If a hypothesis is not rejected at the 5% level of significance, it a. will always be rejected at the 1% level b. will also not be rejected at the 1% level c. will sometimes be rejected at the 0.1% level d. will sometimes be rejected at the 1% level
Answers
Considering the p-value of the test, the correct option is:
b. will also not be rejected at the 1% level.
How do we reach the decision to reject or not reject the null hypothesis?It depends on the p-value of the test, as follows:
If the p-value is greater than the significance level, we do not reject the null hypothesis.If it is less than the significance level, we reject the null hypothesis.In this problem, the hypothesis is not rejected at the 5% level of significance, hence the p-value is greater than 0.05, which means that it will not be rejected at any level below 5% and option b is correct.
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Which answers describe the shape below? Check all that apply.
31
A
A. Quadrilateral
B. Rhombus
C. Trapezoid
D. Parallelogram
E. Rectangle
F. Square
Answers
Answer:
A and D are correct. This is a parallelogram, which is a quadrilateral. B is not correct because not all the sides are congruent. C is not correct. E and F are not correct because this parallelogram does not have any right angles.
Solve: 4 (x + 2.5) = 48
Answers
Answer:x=19/2
Step-by-step explanation:
4(x+2.5)=48
Step 1: Simplify both sides of the equation.
4(x+2.5)=48
(4)(x)+(4)(2.5)=48(Distribute)
4x+10=48
Step 2: Subtract 10 from both sides.
4x+10−10=48−10
4x=38
Step 3: Divide both sides by 4. 4x/4 = 38/4 = 19/2
Answer:
4(x + 2.5) = 48.
4x + 4 x 2.5 = 48.
4x + 10 = 48.
4x + 10 -10 = 48 -10
4x = 38
Divide both sides by 4.
X = 9.5.
X = 10 if approximated.
Antonio is in a bowling league. His goal is to score an average of at least 100 points per game. His scores so far are 105,95,97,82, and 110. How many points can Antonio score in his next game to reach his goal? Show your work.
Please show work I need it so please have step by step I will give brainly thanks!
Answers
Antonio needs to score at least 111 points in his next game to reach his goal of an average of at least 100 points per game.
What are basic arithmetic operations?
Basic arithmetic operations are fundamental mathematical calculations that involve manipulating numerical values using a set of basic operations.
To find out how many points Antonio needs to score in his next game to reach an average of at least 100 points per game, we can use the following formula:
Total points needed = (number of games + 1) × average score goal - total points scored so far
In this case, Antonio has played 5 games, so the number of games he will have played after his next game is 6. His goal is an average of 100 points per game, so his average score goal is 100. The total points he has scored so far is:
105 + 95 + 97 + 82 + 110 = 489
Substituting these values into the formula, we get:
Total points needed = (6) × (100) - 489
Total points needed = 600 - 489
Total points needed = 111
Hence, Antonio needs to score at least 111 points in his next game to reach his goal of an average of at least 100 points per game.
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p(x) = C₁pxqn-x
When processing credit-card applications there is a 40% chance that an application will
have incomplete or insufficient information and require research. You have 5 applications
in your to-do pile and would like to leave early today.
(a) Fill in the values:
n
p=
(b) What is the probability of exactly three applications needing research? (enter a
number between 0 and 1, 4 decimal places)
Answer=
Answer=
q=
(c) What is the expected number of applications that will need research?
Answer=
(d) What is the probability of having AT LEAST the expected number of applications
needing research? (enter a number between 0 and 1, 4 decimal places)
Answers
The value regarding the probability shows that n is 5, p is 0.4 and q is 0.6.
How to calculate the valuesProbability simply means the chance that a particular thing or event will happen. It is the occurence of likely events. It is simply the area of mathematics that deals with the numerical estimates of the chance that an event will occur.
a)n=5
P=40%=0.4
q=1-p=1-0.4=0.6
b)p(x)= nc x p x q^n-x
p(x=3)=5C3×0.4^3×0.6^2
=0.2304
C) E(x)=np=5×0.4=2
Expected number of applications that will need research is 2
d)or(at least the expected number of applications)=p(x≥2)=1-p(x<2)
=1-{p(x=0)+p(x=1)
=1-{5C0×0.4^0×0.6^5 +5C1×0.4^1×0.6^4}
=1-0.3370
=0.6630
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a
06
Which of the following inequalities is correct?
Choose 1 answer:
C <-6
B
c
-c<
0
Answers
Answer:
C<-6
Step-by-step explanation:
C-C=0 it can not be less than 0
A diver is on a springboard that is 4 meters above the surface of the pool. another diver is 5 meters below the surface of the pool. Who is closer to the surface of the pool?
Answers
Answer:
A
Step-by-step explanation:
Let's say the surface of the pool is 0, and the diver 4 meters above represents +4, and the diver 5 meters below represents -5. Which number is closer to 0? It's 4! 4 is 4 numbers away from 0, meanwhile 5 is 5 numbers away from zero, 4 is closer to 0!
If the fencing material costs K20 per meter, then what would be the minimum cost to fence her garden?
Answers
The minimum cost that she will incur to fence her garden with dimensions, 32 m width and 48 m length, is K3,200.
How the minimum cost is ascertained:The minimum cost is a product of the multiplication of the perimeter of the garden and the cost of materials per meter.
The perimeter shows the total length around the garden, which is two lengths and two widths.
The width of the rectangular garden = 32 m
The length of the rectangular garden = 48 m
The perimeter of the rectangular garden = 160 m [2 (32 + 48)]
The cost of fencing materials per meter = K20
The minimum cost for fencing the garden = K3,200 (K20 x 160)
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Complete Question:A rectangular garden is 32 m wide and 48 m long. If the fencing material costs K20 per meter, then what would be the minimum cost to fence her garden?
The minimum cost that will be used to fence a rectangular garden with length 48 m and w 32 m is K3200
How to find minimum costTo calculate the minimum cost required to fence the garden, we need to find the perimeter of the rectangular garden.
Perimeter is given as,
P= 2(l + w)
l = 48 m, w = 32 m
Thus,
P = 2(48 m + 32 m) = 2(80 m)
P = 160 m
Since the perimeter of the garden is 160 m, hence, we need 160 meters of fencing material.
Given that the cost of fencing material is K20 per meter, the total cost to fence the garden would be:
Total cost = 160 m * K20 per m = K3200
Therefore, the minimum cost to fence the garden would be K3200.
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Question is incomplete, find complete question below
A rectangular garden is 32 m wide and 48 m long. If the fencing material costs K20 per meter, then what would be the minimum cost to fence her garden?
1+1 Please hurry I need this answer neowwww
Answers
Answer:
2
Step-by-step explanation:
213. Sandy has 1 quart and 1 pint of soda.
How many cups can she divide this
amount into?
Answers
1 pint = 2 cups
1 quart = 4 cups
Sandy Sandy can divid 1 pint and 1 quart into 6 cups of Soda.
Evaluate r=5
∑(r+1)2
r=1
Answers
Answer:
\(\sum (r+1)^2 = 90\)
Step-by-step explanation:
Given
\(\sum (r+1)^2; r = 1,2....5\)
Required
Evaluate
\(\sum (r+1)^2; r = 1,2....5\) is equivalent to :
\((1 + 1)^2 +(2 + 1)^2 +(3 + 1)^2 +(4 + 1)^2 +(5 + 1)^2\)
\((2)^2 +(3)^2 +(4)^2 +(5)^2 +(6)^2\)
\(4 + 9 + 16 + 25 + 36\)
\(90\)
Hence:
\(\sum (r+1)^2 = 90\)
Find the value of x. Round the length to the nearest tenth. The diagram is not drawn to scale.
SOMEONE, PLEASE HELP!!
Answers
The value of x in the given figure, rounding the length to the nearest tenth is 2879.4 meters.
What is Pythagoras' theorem?Pythagoras' theorem says that the hypotenuse's square equals the square of the other two sides.
The value of x in the triangle using the principle of Pythagoras is 2879.4 meters
Given the right angle triangle :
The angle of elevation = 10°
Opposite side = 500 m
x = hypotenuse
Using the relation :
Sin θ = opposite / hypotenus
Sin 10° = 500 / x
Cross multiply :
x(sin 10°) = 500
0.1736481x = 500
x = 500 / 0.1736481
x = 2879.39 meters
Therefore, the value of x in the triangle is 2879.4 meters.
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I have a problem with fractions. 7/7 - 2/5. I am supposed to estimate with compatible numbers.
Answers
Answer:
Using estimation with compatible numbers the solution is;
\(\frac{1}{2}\)Explanation:
We want to estimate the fraction below with compatible numbers.
\(\begin{gathered} \frac{7}{7}-\frac{2}{5} \\ \frac{7}{7}=1 \\ \frac{2}{5}\approx\frac{1}{2} \end{gathered}\)So, by estimation the fraction becomes;
\(\begin{gathered} 1-\frac{1}{2} \\ =\frac{1}{2} \end{gathered}\)Using estimation with compatible numbers the solution is;
\(\frac{1}{2}\)Which of the following is equivalent to In 4x+5inx-in2xy
Answers
how many groups of 5/7 are in 1?????
Answers
Answer:
There are 1.4 groups of 5/7 in 1.
Step-by-step explanation:
1 / (5/7)
Aiden runs a farm stand that sells apples and strawberries. Each pound of apples sells
for $2 and each pound of strawberries sells for $3. Aiden made $80 from selling a
total of 35 pounds of apples and strawberries. Write a system of equations that could
be used to determine the number of pounds of apples sold and the number of pounds
of strawberries sold. Define the variables that you use to write the system.
Answers
Answer:
Step-by-step explanation:
if you take away 25 from a number you will be left with two and halftimes 30. what is the number?
Answers
If you take away 25 from (100) you get 75.
70 also equals 2.5*30
sharmila recived 81 texts in 9 minutes
Answers
Answer:
Step-by-step explanation:
81 texts in 9 hours
So you do 81 divided by 9
Which givrs you 9 text an hour
3455/72
answer pls.....
Answers
Answer:
3455/72
=47.9861111111
Step-by-step explanation:
PLEASE HELP !!!!! David is standing 500 feet away from the base of a cell phone tower. the angle of elevation from his eyes to the top of the tower is 78°. if David’s eyes are 6 feet above the ground how tall is the tower (EXPLAIN PLEASE)
Answers
The height of the tower is 2358 feets.
How to find the height of the tower?David is standing 500 feet away from the base of a cell phone tower.
The angle of elevation from his eyes to the top of the tower is 78°. David eyes are 6 feet above the ground . The height of the tower can be found as follows:
This situation forms a right angle triangle. Therefore,
using trigonometric ratios,
tan 78° = opposite / adjacent
tan 78° = x / 500
cross multiply
x = 500 tan 78°
x = 500 × 4.70463010948
x = 2352.31505474
Therefore,
height of the tower = 2352 + 6
height of the tower = 2358 ft.
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Hey umm i just need help thx if u do
Answers
Answer:
900in goes in 25 yd
3960ft goes in 0.75 mi
360in goes in 30 ft
10yd goes in 30 ft
75ft goes in 25 yd
1320yd goes in 0.75 mi
Step-by-step explanation:
\(\frac{1yd}{36in} =900in\)
900 · 1 = 900
900/36 = 25 yd
______________
\(\frac{1mi}{5280ft} =3690ft\)
3690 · 1 = 3690
3690/5280 = 0.75 mi
______________
\(\frac{1ft}{12in} =360in\)
360 · 1 = 360
360/12 = 30 ft
______________
\(\frac{3ft}{1yd} =10yd\)
3 · 10 = 30
30/1 = 30 ft
______________
\(\frac{1yd}{3ft} =75ft\)
75 · 1 = 75
75/3 = 25 yd
______________
\(\frac{3ft}{1yd} =1320yd\)
3 · 1320 = 3960
3960/1 = 3960ft
\(\frac{1mi}{5280ft} =3960ft\)
3960 · 1 = 3960
3960/5280 = 0.75 mi
______________
hope this helps!
Round 3.25 miles to the nearest 0.1 mile
Answers
Answer:
3.3 miles
Step-by-step explanation:
not much to explain other than: round up 'cause of the 5!
The well-known state of East Dakota spent approximately $80.8 billion in 2016. Its population at that time was about 3.203 million people. How much did East Dakota spend per capita in 2016? Round to the nearest dollar.
Answers
Answer:
$25,226
Step-by-step explanation:
We know that one billion is equal to 1,000 millions
So, we first multiply 80.8 by 1,000 so we can use millions as our unit.
Which gives you $80,800
So, East Dakota spent $80,800 million in 2016 for the 3.203 million people. Right now, we just ignore the "million" part and divide 80,800 by 3.203 which is around 25,226.35029659694
Now we just round it to the nearest dollar and since the tens place is only at 3, we round down.
Hence, our answer is $25,226