Mathematics High School

What’s this answer ?

Answers

Answer 1

Answer:

Step-by-step explanation:

The average rate of change for f(x) in the closed interval [ a, b ] is

[tex]\frac{f(b)-f(a)}{b-a}[/tex]

Here [ a, b ] = [ 1, 3 ] , then

f(b) = f(3) = 27 ← value of y from table for x = 3

f(a) = f(1) = 3 ← value of y from table for x = 1

average rate of change = [tex]\frac{27-3}{3-1}[/tex] = [tex]\frac{24}{2}[/tex] = 12

Related Questions

Shane is standing near a cell tower. The angle of elevation from him to the top of the tower is 73°. Cara is standing 10 feet behind Shane (further away from the cell tower). From her, the angle of elevation to the top of the tower is 65°. What is the height of the tower, rounded to the nearest tenth of a foot?

Answers

Answer:

75ft

Step-by-step explanation: angles

If the if a cylinder is 7 in tall and has a volume of 63 Pi inches what is the area of the cross section it goes right down the middle

Answers

Answer: [tex]9\pi \ in.^2[/tex]

Step-by-step explanation:

Given

The height of the cylinder is [tex]h=7\ in.[/tex]

The volume of the cylinder is [tex]V=63\pi \ in.^3[/tex]

The volume of the cylinder is the product of area and height

[tex]\Rightarrow V=\pi r^2h\\[/tex]

Insert the values

[tex]\Rightarrow 63\pi =A\times 7\\\\\Rightarrow A=\dfrac{63\pi}{7}\\\\\Rightarrow A=9\pi\ in.^2[/tex]

Thus, the area of the cross-section is [tex]9\pi \ in.^2[/tex]

What is the distance from the origin to point P graphed on the complex plane below?
A) sqrt 7
B) sqrt 29
C) 7
D) 29

Answers

Answer:

Sqrt 29

Step-by-step explanation:

The answer is:

A) sqrt 7

Hope this helped!

solve this inequality:
-1/3n - 8 < -25

Answers

If you’re going to factor it, it’s 1/3 x (-n-99)
If you’re going to simplify it, it’s -1/3n-33

25. Kendra owns a toy store. She charges $5.00 for two cars and one piece of candy. She charges \$3.2 for one car and one piece of candy. How much does Kendra charge per car?

Answers

1.56 or 1.5625 if u need the full answer

Kendra's charge per car in the toy store is $1.8.

What is the system of equations?

"Systems of equations, sometimes called simultaneous equations, are a group of relationships between various unknown variables that can be expressed in terms of algebraic expressions".

For the given situation,

Let the number of cars be 'x' and

The number of candy be 'y'

$5.00 for two cars and one piece of candy

$3.2 for one car and one piece of candy

System of the equation for the above case

Equation 1:

[tex]2x + y = 5[/tex]

Equation 2:

[tex]x + y = 3.2[/tex]

Subtract equation 2 from equation 1,

⇒ [tex]x=1.8[/tex]

On substituting x in equation 2, we get

⇒ [tex]y=3.2-1.8[/tex]

⇒ [tex]y=1.4[/tex]

Hence we can conclude that Kendra's charge per car is $1.8.

Learn more about the system of equations here

https://brainly.com/question/9351049

#SPJ2

These box plots show the number of electoral votes won by Democratic and

Republican presidential candidates for the elections from 1984 through 2012

Republican

159

170

525

Democratic

299

3675

0

50

100

150

400

450

500

550

200 250 300 350

Electoral votes

Which statement best compares the spreads of the data sets?

Answers

Answer:

(a) is true

Step-by-step explanation:

Given

See attachment for box plots

Required

Which of the options is true?

Option A compares the IQR of both plots.

IQR is calculated using:

[tex]IQR = Q_3 - Q_1[/tex]

Where

[tex]Q_1 \to[/tex] Lower quartile

[tex]Q_2 \to[/tex] Upper quartile

From the attached plots, we have:

Republican

[tex]Q_1 = 170.5[/tex]

[tex]Q_3 = 356[/tex]

So:

[tex]IQR = 356 - 170.5[/tex]

[tex]IQR = 185.5[/tex]

Democratic

[tex]Q_1 = 181[/tex]

[tex]Q_3 = 367.5[/tex]

So:

[tex]IQR = 367.5 - 181[/tex]

[tex]IQR = 186.5[/tex]

We have:

[tex]IQR = 185.5[/tex] --- Republican

[tex]IQR = 186.5[/tex] --- Democratic

Hence, (a) is true

CE and BD are diameters of circle F. What is the measure of angle AFB?

Answers

The measure of AFB is 44 degrees

GIVING BRAINLIEST PLZ HELP

Answers

Answer:

Sebastian

Step-by-step explanation:

Which function has the greater maximum value: f(x) = -3x2 + 6x + 4, or g(x),
the function in the graph?

Answers

Answer: f(x)

Step-by-step explanation:

The function g(x) has the greater maximum value. So, option (A) is the correct answer.

What is the graph of a function?

"The graph of a function f is the set of all points in the plane of the form (x, f(x)). We could also define the graph of f to be the graph of the equation y = f(x). So, the graph of a function if a special case of the graph of an equation".

For the given situation,

The function f(x) is expressed as -3x^2 + 6x +4

The function g(x) is shown in the graph.

Plot the function f(x) in the graph to compare with g(x).

The graph for f(x) is shown below.

The function f(x) is the decreasing function, so it has only a minimal value.

The function g(x) is the increasing function, so it has a maximum value.

Hence we can conclude that the function g(x) has the greater maximum value. So, option (A) is the correct answer.

Learn more about the graphs of functions here

https://brainly.com/question/18422775

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What is the mode interval for the set of data?

80 - 89
70 - 79
90 - 99
60 - 69

Answers

Answer:

80-89

Hope this helps

Answer:

Step-by-step explanation:

MAth problem
Help ASAP please

Answer:

18x^2+6

Step-by-step explanation:

2(9x^2+3)

multiply each term in parentheses by 2

2 x 9x^2+2 x 3

calculate product

18x^2+2 x 3

hope this helps

What are the solutions of 2x^2 + 7x = 4
½
4
-½
-4
7
-7

Answers

I got -1/2 and -4 as the solutions.

explication;for a polynomial of the form ax 2 + b X + c, rewrite the middle term as a sum of two terms whose product is a c = 2 ⋅ - 4= -8 and whose sum is b = solution;

COINS: Find the number of possible outcomes if 2 quarters, 4 dimes, and 1 nickel are tossed.

Answers

is it a multiple choice question or do you have to give your own answer

In a survey, 80 percent of those
surveyed had at least one brother or
sister. What fraction of those surveyed
had at least one brother or sister? Write
your answer in the simplest form.

Answers

Answer:
4/5
Step-by-step explanation:
If we are given this value as a percent we can simply turn that percentage into a fraction. 80% would be 8/10 but since the question wants the fraction in simplest form we can achieve this by dividing both the numerator and denominator by 2. This would give us 4/5, which if we divide the numerator by the denominator we get 0.80 which is 80%. Therefore, the fraction of those surveyed that had at least one brother or sister is 4/5

70.5 is what percent of 94

Answers

Answer:
75%
hope this helps
have a good day :)
Step-by-step explanation:

Answer: 75%
Step-by-step explanation:

Solve X2--169. (4 points)

Answers

Answer:
Replace all occurrences of
−
−
with a single
+
. Two consecutive minus signs have the same mathematical meaning as a single plus sign because
−
1
⋅
−
1
=
1
x
2
+
169
Step-by-step explanation:

A bag contains n counters. one counter is blue and the rest are red. Two counters are taken at random from the bag. a) express, in terms of n, the probability that a counter of each colour is taken. Give your answer as a fraction. b) the probability that a counter of each colour is taken is 0.125. How many red counters are in the bag?

Answers

Answer:
A] Probability = 1/n ; B] Number = 8
Step-by-step explanation:
Total counters = n , Blue counter = 1 , Red counters (remaining) = n -1
A] Prob (One blue, & One red counter) = (Blue counter / Total counters) x (Red counters / Total remaining counters) = [1 / n] x [ (n -1) / (n-1)] = 1 / n
Alternative, Prob (One red, & one blue) = (Red counter / Total counters) x (Blue counters / remaining counters) = [ (n-1) / n ] x [1 / (n-1) ] = 1 / n
B] Prob (each color , a blue & red counter taken) = 0.125 {Given}
By A], this Prob = 1/n.
So, 0.125 = 1/n → n = 1 / 0.125 = 8

Help meeeeee, i don’t understand

Answers

Answer:
To graph the equation, you need to find the slope and y-intercept.
y = mx + b
⬑[slope-intercept formula; m is the slope, and b is the y-intercept]
y = 4x + −1
⬑[given equation before being simplified]
y = 4x − 1
⬑[given equation]
║m = 4
║b = (0, −1)
Proof:
m = [tex]\frac{rise}{run}[/tex] = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]
x₁ = 0
x₂ = 1
y₁ = −1
y₂ = 3
m = [tex]\frac{3 - -1}{1 - 0}[/tex]
║m = 4
║b = (0, −1)
[the value for x₁ and y₁ equals the y-intercept: (0, −1)]
Graph:

Ann had 96 filers to post around town. Last week, she posted 1/4 of them. This week, she posted 1/3 of the remaining filers. How many filers has she still not posted

Answers

Answer:
48 [fliers]
Step-by-step explanation:
Ann starts with 96 fliers. After she posts 1/4 of them, she will have 3/4*96=72 fliers left. She now has 72 remaining flyers. After posting 1/3 of these, she will have 2/3*72=48 fliers left.

How would you find the value of x

Answers

Answer:
where is the question
Step-by-step explanation:
send me the question on comment and i will solve it for you

Can someone help me with this question

Answers

Answer:
its either 11 or 2/3
Step-by-step explanation:

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