the graph below shows an exponential function and a quaractic function.


how do the functions compare over the interval
0<_ x<_1?


A. the exponential grows at approximately half the rate of the quadratic
B. the exponential grows at approximately the same rate as the quadratic
C.the exponential grows at approximately twice the rate of the quadratic
D.the exponential grows at approximately four times the rate of the quadratic


please help i’m begging times :(

Answer:

a

Step-by-step explanation:

Answer: 0<a<1

Step-by-step explanation:

Answer:

Step-by-step explanation:

x           y           Difference [tex](y_2-y_1)[/tex]

1          15                      -

2         25              25 - 15 = 10

3         35              35 - 25 = 10

4         45              45 - 35 = 10

There is a common difference of 10 in each successive term of y.

Therefore, table represents a linear function.

Let the equation of the linear function is,

y = mx + b

Here 'm' = slope of the line

b = y-intercept

Since, two points (1, 15) and (2, 25) lie on the graph of the function,

Slope of the line = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

                        m = [tex]\frac{25-15}{2-1}[/tex]

                        m = 10

Equation of the line will be,

y = 10x + b

For the value of 'b' (y-intercept),

Since, (1, 15) lies on the graph of the linear function,

15 = 10(1) + b

b = 15 - 10

b = 5

Equation of the line on the graph will be,

y = 10x + 5

Now we can determine the output value of the function with the input values, x = 5, 6 and 7

[tex]y_1[/tex] = 10(5) + 5 = 55

[tex]y_2[/tex] = 10(6) + 5 = 65

[tex]y_3[/tex] = 10(7) + 5 = 75

Answer:

An absolute value equation has no solution if the absolute value expression equals a negative number since an absolute value can never be negative. You can write an absolute value inequality as a compound inequality. This holds true for all absolute value inequalities. You can replace > above with ≥ and < with ≤.

Step-by-step explanation:

hope this helps!

Answer: -absolute value inequalities work two ways, not 1

-if it's greater than anything less than 0, then the solution is all real numbers

- if it's less than zero, there is no solution

-dividing by -1 flips the sign

Step-by-step explanation:

These are just some of the rules that I know

the answer is supposed to be 132 at the most of a

for b it is 165

Answer:

a=132

b=165

Step-by-step explanation:

,

Answer:

5 is the answer

Step-by-step explanation:

because i said it was

Simultaneous equations can be solved by substitution, elimination, graphs and by matrices.

The values of x, y and z are:

The equations are given as:

[tex]\mathbf{-x - y -z = -8}[/tex]

[tex]\mathbf{-4x + 4y +5z = 7}[/tex]

[tex]\mathbf{2x +2z = 4}[/tex]

Make z the subject in [tex]\mathbf{2x +2z = 4}[/tex]

[tex]\mathbf{2z = 4 - 2x}[/tex]

Divide by 2

[tex]\mathbf{z = 2 - x}[/tex]

Substitute [tex]\mathbf{z = 2 - x}[/tex] in [tex]\mathbf{-x - y -z = -8}[/tex]

[tex]\mathbf{-x - y -z = -8}[/tex]

[tex]\mathbf{-x - y - (2-x) = -8}[/tex]

[tex]\mathbf{-x - y - 2+x = -8}[/tex]

Cancel out common terms

[tex]\mathbf{- y - 2 = -8}[/tex]

Add 2 to both sides

[tex]\mathbf{- y = -8+2}[/tex]

[tex]\mathbf{- y = -6}[/tex]

Divide by -1

[tex]\mathbf{y = 6}[/tex]

Substitute [tex]\mathbf{z = 2 - x}\mathbf{\ and\ y = 6}[/tex] in [tex]\mathbf{-4x + 4y +5z = 7}[/tex]

[tex]\mathbf{-4x + 4 \times 6 + 5 \times (2 - x) = 7}[/tex]

[tex]\mathbf{-4x + 24 + 5 \times (2 - x) = 7}[/tex]

Open brackets

[tex]\mathbf{-4x + 24 + 10 - 5x = 7}[/tex]

Collect like terms

[tex]\mathbf{-4x - 5x =- 24 - 10 + 7}[/tex]

[tex]\mathbf{-9x =-27}[/tex]

Divide through by -9

[tex]\mathbf{x =3}[/tex]

Recall that: [tex]\mathbf{z = 2 - x}[/tex]

So, we have:

[tex]\mathbf{z = 2-3}[/tex]

[tex]\mathbf{z = -1}[/tex]

Hence, the results are:

[tex]\mathbf{x =3}[/tex]

[tex]\mathbf{y = 6}[/tex]

[tex]\mathbf{z = -1}[/tex]

Read more about simultaneous equations at:

https://brainly.com/question/10852714

Answer:

[tex]\log_5(9)+\frac{1}{2}\log_5(x)-3\log_5(y)[/tex]

Step-by-step explanation:

[tex]\log_5(\frac{9\sqrt{x}}{y^3})[/tex]

First rule I'm going to use is the quotient rule:

[tex]\log_b(\frac{m}{n})=\log_b(m)-\log_b(n)[/tex]

[tex]\log_5(9\sqrt{x})-\log_5(y^3)[/tex]

Secondly, I'm going to rewrite the radical.

[tex]\sqrt{x}=x^\frac{1}{2}[/tex]

[tex]\log_5(9x^\frac{1}{2})-\log_5(y^3)[/tex]

Third, I'm going to use the product rule on the first term:

[tex]\log_b(mn)=\log_b(m)+\log_b(n)[/tex]

[tex]\log_5(9)+\log_5(x^\frac{1}{2})-\log_5(y^3)[/tex]

Fourth, I'm going to use power rule for both of the last two terms:

[tex]\log_b(m^r)=r\log_b(m)[/tex]

[tex]\log_5(9)+\frac{1}{2}\log_5(x)-3\log_5(y)[/tex]

Answer:

B) (0,1)

Step-by-step explanation:

The line crosses the y-axis at (0, 1), so that makes (0, 1) the y-intercept.

Hope this helps!

Answer:

[tex]\huge\boxed{\sf 13 , 15 , 17}[/tex]

Step-by-step explanation:

Let x , x+2 and x+4 be the consecutive numbers

Given Condition:

x + x + 2 + x + 4 = 45

3x + 6 = 45

Subtract 6 to both sides

3x = 45 - 6

3x = 39

Dividing both sides by 3

x = 13

So,

The numbers are:

x = 13

x + 2 = 13 + 2 = 15

x + 4 = 13 + 4 = 17

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

let the number be n

n+n+2+n+4 =45

3n+6=45

3n+6+6=45-6

        3n/3=39/3

             n=13

n=13

n+2=13+2

      =15

n+4=13+4

     =17

13,15,17

Step-by-step explanation:

pliz mark brainliest

Answer:

C(x, y) = 8 + 1.25x + 2.50(y - 12)

Step-by-step explanation:

Given that:

Cost of 12 inch cheese pizza = $8

Each additional inch cost $2.50

Each additional topping cost $1.25

The cost equation :

Let x = additional topping ; y = diameter of pizza, cost of pizza = C

C(x, y) = cost of 12-inch + (cost of additional topping * number of additional topping) + (cost per additional diameter * extra diameter)

C(x, y) = 8 + 1.25x + 2.50(y - 12)

Answer: C(x, y) = 8 + 1.25x + 2.50(y - 12)

Step-by-step explanation:

Answer:

The slope is -5

Step-by-step explanation:

For every 1 value moved in the x value, the line goes 5 values down. This means the slope is -5/1 or -5.

I hope that this helps! :)

Answer:

0, 5x

Step-by-step explanation:

0 in the first box

5x in the second box

so line ab is parrallel and so is xy it is asking you to prove that angle 8 + angle 9 = 180

so since they are parrallel 8 is equal to 12 or you could do 9 is equal to 5 then you can see that they sit on the same straight line so angle9 + angle8 = 180 degrees

Answer:

C (-4x2) + 2xy + (10x^2 y + ( -4x^2 y )

Step-by-step explanation:

I got it right on the test :3 UNUS ANNUS

Polynomial (3) [tex](-4x^2)+2xy^2+[10x^2y+(-4x^2y)][/tex] gives the sum of the given polynomial [tex]10x^2y+2xy^2-4x^2-4x^2y[/tex] with like terms grouped together.

Polynomial is a mathematical expression made of one or more algebraic terms (variable) with different powers and different combinations and coefficients.

We can add or subtract only like terms in a polynomial, and like terms are which have the same variable combination with similar power but the coefficient can be different.

Here given polynomial is [tex]=10x^2y+2xy^2-4x^2-4x^2y[/tex]

Here we have to group the like terms in the given polynomial which are [tex]10x^2y,(-4x^2y)[/tex].

So grouping the like terms we can write the sum of the given polynomial as [tex](-4x^2)+2xy^2+[10x^2y+(-4x^2y)][/tex].

Hence option (3) is correct.

Learn more about Polynomial here -

https://brainly.com/question/1600696

#SPJ2

Answer:

1) (2,10) is solution of y=4x+2

2) (7,5) is not solution of 2x+y=5

3) (-3,3) is not solution of y=6-x

4) (10,-1) is solution of x+8y=2

5) (2,21) is not solution of y=6x+7

6) (6,-8) is solution of 3x-y=26

Step-by-step explanation:

1) y=4x+2 (2,10)

Put x=2 and y=10 and check if both sides are equal or not

10=4(2)+2

10=8+2

10=10

So, (2,10) is solution of y=4x+2

2) 2x+y=5 (7,5)

Put x=7 and y=5 and check if both sides are equal or not

2x+y=5

2(7)+5=5

14+5=5

19≠5

So, (7,5) is not solution of 2x+y=5

3) y=6-x (-3,3)

Put x=-3 and y=3 and check if both sides are equal or not

y=6-x

3=6-(-3)

3=6+3

3≠9

So, (-3,3) is not solution of y=6-x

4) x+8y=2 (10,-1)

Put x=10 and y=-1 and check if both sides are equal or not

x+8y=2

10+8(-1)=2

10-8=2

2=2

So, (10,-1) is solution of x+8y=2

5) y=6x+7 (2,21)

Put x=2 and y=21 and check if both sides are equal or not

y=6x+7

21=6(2)+7

21=12+7

21≠19

So, (2,21) is not solution of y=6x+7

6) 3x-y=26 (6,-8)

Put x=6 and y=-8 and check if both sides are equal or not

3x-y=26

3(6)-(-8)=26

18+8=26

26=26

(6,-8) is solution of 3x-y=26

Answer:

3 in this case is equal to 12/4 (as that simplifies to get 3/1, which is simply 3). Adding this to 3/4, you get 15/4.

The reciprocal of 15/4 is 4/15.

The product of these two is 60/60, or 1

Step-by-step explanation:

Answer:

[tex]y=-52x+480[/tex]

Step-by-step explanation:

Linear Modeling

Some events can be modeled as linear functions. If there is a situation where a linear model is suitable, then we need two sample points to make the model and predict unknown behaviors.

The linear function can be expressed in the slope-intercept format:

[tex]y=mx+b[/tex]

The event into consideration is the number of pages of a book left to read by Shyryia.

We know that for x=1.5 hours, she had y=402 out of the total 480 pages left to read. This is the point ( 1.5, 402 ). The other point is not obvious but can be inferred by context. If she hasn't used any time to read (x=0), then she would have y=480 pages left to read. This is the point (0,480).

The equation of a line passing through points (x1,y1) and (x2,y2) can be found as follows:

[tex]\displaystyle y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

Substituting the given points:

[tex]\displaystyle y-402=\frac{402-480}{1.5-0}(x-1.5)[/tex]

[tex]\displaystyle y-402=\frac{-78}{1.5}(x-1.5)[/tex]

Operating:

[tex]y-402=-52(x-1.5)[/tex]

[tex]\mathbf{y=-52x+480}[/tex]

Answer:

-52x+480.

Step-by-step explanation:

I took the test, definitely correct

Answer:

8 years

Step-by-step explanation:

With Simple interest you can calculate the annual interest at 6000x.07=$420 annual interest

Take the Total Interest $3360/$420= 8 Years

9514 1404 393

Answer:

  x = 2

Step-by-step explanation:

Taking antilogs, the equation becomes ...

  x(x +3) = 10

  x^2 +3x +2.25 = 12.25 . . . . add (3/2)² to complete the square

  (x +1.5)² = 3.5² . . . . write as squares

  x = -1.5 +3.5 . . . . . . take the positive square root*

  x = 2

_____

* The negative square root gives an extraneous solution (x=-5).

__

I find that using a graphing calculator with the original equation avoids extraneous solutions. Here we transform the equation to the form f(x) = 0, so the x-intercept is the value of x we seek.

Answer:

t=15d

Step-by-step explanation:

The problem is asking for total time, so we can set everything equal to t. If it takes 15 minutes for 1 mile and she's walking at a constant speed, we know that the solution is t=15d.

We can plug in one mile to verify this answer.

t=15(1)

t=15

Hope this helped!

Answer:

The correct answer is:

It is a linear function because there is a constant rate of change in both the input and output values.

Step-by-step explanation:

Given table is:

Input (x) Output (y)

−2 7

−5 4

−8 1

−11 −2

It can clearly be observed that the values for x and y are changing with the same rate.

In case of x, -3 is added to the previous input to get the next input.

Similarly, in case of y, the next output value is obtained by subtracting 3 from the previous value.

Hence,

The correct answer is:

It is a linear function because there is a constant rate of change in both the input and output values.

Answer:x=19

Step-by-step explanation:

101 = -4 + 5(x + 2)

101= -4 +5x+10

91=-4+5x

95=5x

x=19

19

Step-by-step explanation:

Distribute 5

101=-4+5x+10

Combine like terms

101=5x+6

Get x alone on one side by subtracting 6

95=5x

Simplify

19=x

Answer:

132

Step-by-step explanation:

area of square =4l

= 4× 11

=44

total length =44×3

=132m

Answer:

the first one is A the second one D the third one B

Step-by-step explanation:

hope this will help you

Answer:

Which fraction is equal to 0.7?

C.) 7/10

Which fraction is equal to 0.54?

A.) 27/50

How can the decimal 0.57 be written as a fraction?

B.) 57/100

Step-by-step explanation:

Answer:

Point of intersection is (6,0)

Step-by-step explanation:

Answer:

t=1.625

Step-by-step explanation:

13=8t

divide both sides by 8

t=1.625