For the graphed exponential equation, calculate the average rate of change from x = 1 to x = 4.
-1/3
-5/8
-4/5
-7/8​

Answer: Option C.

Step-by-step explanation:

A function goes trough the x-axis when f(x) = 0 for some value of x.

For example, when we say that a quadratic function has no real zeros, this means that the determinant is less than zero, so the roots of the equation:

a*x^2 + b*x + c = 0

are complex roots, this means that for the function:

f(x) = y = a*x^2 + b*x + c

there is not a real number x such f(x) = 0

So the correct option is C.

The quadratic function with no real zeros is an example of a function whose graph in the xy-plane has no x-intercepts.

The x-intercept is the point on the coordinate at which a line, curve or plane intersect with the x-axis.

The example of a function whose graph in the xy-plane has no x-intercepts has to find out.
X-intercept is the point over the graph where,

[tex]y=f(x)[/tex]

Here, x is the roots of the function.

For no value of x-intercepts, the function become,

[tex]y=0[/tex]

[tex]f(x)=0[/tex]

Here, the zeros and roots are the same, where function become equal to zero.

Thus, the quadratic function with no real zeros is an example of a function whose graph in the xy-plane has no x-intercepts.

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Original Population = 1236000

Growth Rate = 1.3% per year

Since the population grows at an exponential rate, we can say that the growth of the population is an exponential growth.

Using the formula of exponential growth

population after 10 years = Original population (1-1.3%)^10

= 1236000 {1+(1.3/100)}^10

= 1236000 (1+0.013)^10

= 1236000 × 1.013^10

= 1236000 × 1.13787

= 1406407.32

Answer:

17

Step-by-step explanation:

17x17= 289

Answer:

The square root of 289 is also 17.

Step-by-step explanation:

Answer:

George Washington, Andrew Jackson, Ulysses Grant, and Dwight Eisenhower were all military leaders.

Answer:

See explanation

Step-by-step explanation:

Two major arcs:

[tex] \widehat {EAB}, \:\:\widehat {FAD}[/tex]

Two minor arcs:

[tex] \widehat {EF}, \:\:\widehat {AB}[/tex]

Answer:

I think the answer is 3. Im not fully sure/

Step-by-step explanation:

Answer:B & F

Step-by-step explanation:

On edge

Answer:

1, 2, 3, and so on are natural numbers.

Step-by-step explanation:

Answer:

-72

Step-by-step explanation:

Answer:

-72

Step-by-step explanation:

36(-2)

-72

Answer:

⅓

Step-by-step explanation:

Total 6 possible outcomes

Same colour:

White, white

Blue, blue

P(same colour) = 2/6 = 1/3

Answer:

1/3

Step-by-step explanation:

Looking at the possibilities ( there are 6)

There are 2 that have the same shirt and shorts of the same color  ( white white and blue blue)

That means we have 2 out of 6  that meet the requirements

2/6 = 1/3

Answer:It's C, 425 ft.

Step-by-step explanation:

You multiply 17 ft. by 25 ft.

Answer:

84 feet

Step-by-step explanation:

there are 4 sides: 17 feet, 17 feet, 25 feet, and 25 feet

to get perimeter you add all the sides together. 17+17=34 then 25+25=50. 50+34=84.

therefore 84 feet is your answer.

Answer:

x ≤ 63.4

Step-by-step explanation:

.25x+4.15 ≤20

Subtract 4.15 from each side

.25x +4.15 -4.15 ≤ 20-4.15

.25x ≤ 15.85

Divide each side by 15.85

.25x/.25 ≤ 15.85/.25

x ≤ 63.4

Answer:

14 units, 19.8 units (3 s.f.)

Step-by-step explanation:

To find the length of each side of the square ABCD, find the length of AB.

Refer to the picture attached.

AB= AX +XB

Let's find the length AX first.

(see triangle AXY)

Applying Pythagoras' Theorem,

(AX)² + (XY)² = (AY)²

(AX)² +12²= 13² (subst. known values)

(AX)²= 169 -144 (move constant to 1 side)

(AX)²= 25 (simplify)

AX= √25 (square root both sides)

AX= 5 units

Now, let's find the length of XB.

(see triangle BXY)

Applying Pythagoras' Theorem,

(XB)² + (XY)²= (BY)²

(XB)² +12²= 15²

(XB)²= 225 -144 (bring constant to 1 side)

(XB)²= 81 (simplify)

XB= √81 (square root both sides)

XB= 9 units

AB

= 5+9

= 14 units

Therefore, length of each side of square ABCD= 14 units

To find the diagonal of the square, focus on the red shaded triangle (refer to picture 1).

Since squares have equal sides, AD= DC= 14 units

Applying Pythagoras' Theorem,

(AC)²= (AD)² +(DC)²

(AC)²= 14² +14² (subst. known values)

AC= √392 (simplify)

AC= 19.8 units (to 3 s.f.)

Answer:

0,2,4

Step-by-step explanation:

Answer: 0,2,4

Step-by-step explanation:

Answer:12.33333333333

Step-by-step explanation:

8x - 2 = 14x - 76

74 = 6x

12.333 = x

The required value of the x is 13 in the measures of the angle.

Given that,
Line A and B are parallel lines and intersect by a transversal line.

A line can be defined by the shortest distance between two points is called a line.

Parallel lines are defined as the line on which the corresponding points are equidistant throughout the line

Here,
If a pair of parallel lines intersect by the transversal line then their corresponding angles are equal in measure,
Thus,
8x + 2 = 14x - 76
6x = 78
x = 78 / 6
x = 13

Thus, the required value of the x is 13 in the measures of the angle.

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Answer:

Perimeter = 28 ft

n = 11

Step-by-step explanation:

Area = length x width

33 = n * 3

n = 11 = length

then the perimeter is 2Length + 2Width

= 2*11 + 2*3 =

22 + 6 = 28

Answer:

Step-by-step explanation:

Area = 33 sq ft

length * width = 33

n * 3 = 33

Divide both sides by 3

n = 33/3

n = 11 ft

Perimeter = 2*(length + width)

                = 2*(11 + 3)

                = 2* 14

                = 28 ft

y = 1.25 x equation shows the  correct relation of x

What is linear graph?

Linear graph is represented in the form of a straight line. To show a relationship between two or more quantities we use a graphical form of representation.

According to the question,

Cost of apples, y, varies directly with pounds

of apples purchased, x.

y = k. x

k is constant of proportion

Four pounds of apples cost $5

5 = 4. k

k = 5/4 = 1.25

As it should be, k is a constant equal to 1.25

y = 1.25 x  for 4 pounds of apples

Hence, y = 1.25 x equation shows the  correct relation of x

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Answer:

x=30, A=132

Step-by-step explanation:

These 2 angels are alternate interior angles so they are equal

5x-18=3x+42

Solve.

2x=60

x=30

Now substitute x into angle A

A=150-18

A=132

Answer:

The variable X should be 30.

Step-by-step explanation:

∠132=5(30)-18° = ∠132=3(30)+42°

Answer:

c

Step-by-step explanation:

Answer:

Answer: C

Step-by-step explanation:

Answer:

y= 5.75x

Step-by-step explanation:

divide the amount he charges by how many hours.

Answer:

C

Step-by-step explanation:

Mean is just another name for average. To find the mean of a data set, add all the values together and divide by the number of values in the set. The result is your mean!

Answer:

-2

Step-by-step explanation:

image attached!

Answer:

3 and -3

Step-by-step explanation:

because both have the same which is equal to 9 so it not above 25 or equal to 25

Answer:

c & F

Step-by-step explanation:

A. 25>25 true

B.144>25,true

C.9>25false

D.25>25 true

E.144>25 true

F.9>25 false

Answer: 150

Step-by-step explanation: Area = 6a^ this is the formula for surface area

The substitute Area = 6 * 25

then multiply Area = 150

hope this helps mark me brainlist if it did hope you have a great day

Answer:

150 cm²

Step-by-step explanation:

bottom: 25cm

top: 25cm

right: 25cm

left: 25cm

front: 25cm

back: 25cm

25+25+25+25+25+25=150cm²

Answer:

3

Step-by-step explanation:

Complete Question

The dot plot shows the number of participants in each age group in a science fair. Which of the following statements is not supported by the dot plot?

A The range is 6.

B The mean of the ages is about 14.4.

C The mode of the ages is 13.

D The median of the ages is 15.

Answer:

(C) The mode of the ages is 13.

Step-by-step explanation:

The given dot plot is attached.

From the dot plot, there is no participant aged 13. Therefore, the mode of the ages cannot be 13. The mode is actually 15.

Therefore, Option C is not supported by the dot plot.

Answer:

In your question if Becca uses 3/4 cup of flour to her biscuit, she uses 2/3 tablespoon of salt and the batch of biscuit that she made uses 3 cup of flours. In finding how much tablespoon of salt use in a 3 cups of flour, you must first find the total cup of flour which 4 and the possible total table spoon of salt is 3. So by calculating the answer is 2 and 2/3 tablespoon of salt

Answer:

A. 1/5

B. 60 times

Step-by-step explanation:

The theoretical probability that the pointer(a) is 1/5 and the pointer will land in a section labeled with the letter A after 300 spins (b) is 60

We have given that the Samira is playing a game with the spinner shown.

We have to deterine the theoretical probability that the pointer will land in a section labeled with the letter A on a given​ spin.

This probability is equal to the amount of '1's divided by the total amount of numbers on the spinner.

Thus,The theoretical probability that the spinner is 1/5.

and also the pointer will land in a section labeled with the letter A after 300 spins.

Therefore we get,

[tex]1/5\times 300/1=300/5=60[/tex]

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Answer:

B. 1/16

Step-by-step explanation:

[tex] \frac{ {4}^{7} }{ {4}^{9} } = {4}^{7} \div {4}^{9} = {4}^{(7 - 9)} \\ = {4}^{ - 2} = \frac{1}{ {4}^{2} } = \frac{1}{4 \times 4} = \frac{1}{16} [/tex]

The answer is 1/16, option B

Answer:

[tex]\tt{} \frac{1}{16} [/tex]

Step-by-step explanation:

[tex]\tt{} \frac{ {4 }^{7} }{ {4}^{9} }[/tex]

[tex] \tt{} \frac{1}{ {4}^{(9 - 7)} } \\ \\ \tt{} \frac{1}{ {4}^{2} } \: \: \: \: \: \: \: \: \: [/tex]

[tex] \tt{} \frac{1}{4 \times 4} \\ \\ \tt{} \frac{1}{16} \: \: \: \: \: \: [/tex]