consider the following three equations:
linear: y=20x+300
Quadratic: y=5x^2
Exponential: y=10(1.4)^x
use the equations to answer the following questions. Support your answers with work.
1. At an x-value of 11, which equation has the largest y-value?
2. what is the smallest integer value of x for which the value of the exponential equation is greater than the values of both the linear and quadratic functions?

Answer:

Step-by-step explanation:

(-4,0) ; (-7, -14)

[tex]d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}\\\\ =\sqrt{(-7-[-4])^{2}+(-14-0)^{2}}\\\\ =\sqrt{(-7+4)^{2}+(-14)^{2}}\\\\=\sqrt{(-3)^{2}+(-14)^{2}}\\\\=\sqrt{9+196} \\\\=\sqrt{205} \\\\=14.3178[/tex]

Answer:

4p - 48

Step-by-step explanation:

(4 × p) + (4 × 12)

I hope this helps!

Answer:

4p - 48

Step-by-step explanation:

(4 × p) + (4 × 12)

Answer:

B

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

6, -7

Step-by-step explanation:

when I followed those instructions, that's what i got.

:)

Answer:

y = x2 + x - 20 factors into

y = (x +5) * (x -4)

Step-by-step explanation:

Answer:

y = (x + 5)(x - 4)

Step-by-step explanation:

Given

y = x² + x - 20

Consider the factors of the constant term (- 20) which sum to give the coefficient of the x- term (+ 1)

The factors are + 5 and - 4, since

5 × - 4 = - 20 and 5 - 4 = + 1, thus

x² + x - 20 = (x + 5)(x - 4)

Answer:

Option D.

Step-by-step explanation:

The given parent function is

[tex]f(x)=\dfrac{1}{x}[/tex]

The given function is

[tex]g(x)=\dfrac{1}{x+4}-6[/tex]

Using the parent function, the given function can be written as

[tex]g(x)=f(x+4)-6[/tex]        ...(1)

The translation is defined as

[tex]g(x)=f(x+a)+b[/tex]        .... (2)

Where, a is horizontal shift and b is vertical shift.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

On comparing (1) and (2), we get

[tex]a=4>0[/tex], it means the graph shifts 4 units left.

[tex]b=-6<0[/tex], it means the graph shifts 6 units down.

So, g(x) is shifted 4 units left and 6 units down from f(x).

Therefore, the correct option is D.

Transformation involves changing the form of a function.

The true option is (d) g(x) is shifted 4 units left and 6 units down from f(x).

The functions are given as:

[tex]g(x)= \frac{1}{x + 4} - 6[/tex]

[tex]f(x)= \frac{1}{x}[/tex]

Start by shifting the function to the left, by 4 units.

This is represented as:

[tex](x,y) \to (x + 4,y)[/tex]

So, we have:

[tex]f'(x)= \frac{1}{x + 4}[/tex]

Next, shift the function down, by 6 units.

This is represented as:

[tex](x,y) \to (x,y - 6)[/tex]

So, we have:

[tex]g(x)= \frac{1}{x + 4} - 6[/tex]

Hence, the true option is (d)

Read more about transformation at:

https://brainly.com/question/12619643

Answer:

A

Step-by-step explanation:

These two coordinates in (x,y) form have the same value for x, so they only differ in the y-value. That means if we subtract the y-values, that’s the vertical distance!

-8 - 3 = -11

(It helps me to think of this as -8 + -3.) They’re 11 units apart: think of it like a absolute value.

So the answer is A. 11

Answer:

y = x² + 18x + 94

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (- 9, 13) and letting a = 1, then

y = (x + 9)² + 13 ← expand (x + 9)² using FOIL

   = x² + 18x + 81 + 13

   = x² + 18x + 94

Answer:

The answer is A I JUST DID it

The cross section of the figure is Pentagon.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

A plane intersects a pentagonal pyramid horizontally as shown.

Now, By the given figure,

The plane slices through the pentagonal pyramid horizontally and forms a pentagon shaped cross-section.

Hence, It represent the Pentagon.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ2

Answer:

90

Step-by-step explanation:

a)

Since, to find the average of a set of numbers, you need to add them all together and divide by the amount of numbers:

[tex]\dfrac{86+83+81+x}{4}=85[/tex]

b)

Multiply both sides by 4:

[tex]86+83+81+x=340\\x=90[/tex]

Hope this helps!

Answer:

2b < 56

n = b - 2

b = n + 2

n < 27

b < 28

No, because the difference between Brittany and Nate's age is 2years

Step-by-step explanation:

A.)

Twice Brittany’s age is less than the age of Abraham Lincoln when he died. President Lincoln was 56 years old at the time of his death

Let Brittany's age = b

Twice Brittany's age = 2 × b = 2b

Lincoln's age = 56

2b < 56

B.)

Nate's age = n

Nate is 2 years younger than brittany who is aged 'b'

n = b - 2

C.) b = n + 2

D.)

If 2b < 56 and b = n + 2

2(n + 2) < 56

2n + 2 < 56

2n < 56 - 2

2n < 54 ; n < 27

2b < 56

b < 56/2

b < 28

No, because the difference between Brittany and Nate's age is 2years

Answer:

15

Step-by-step explanation:

pythag theorum

Answer:

15

Step-by-step explanation:

Pythagorean  thm. says a^2+b^2=c^2 where a and b are the legs of the triangle and c is the hypotenuse.

The hypotenuse, c = 17

Leg b =8

a^2=c^2-b^2

a^2=17*17-8*8

a^2=289-64

a^2=225

Take the square root of both sides.

a = 15

Answer:

P = 40.56 in (ANS)

Step-by-step explanation:

radius = 8/2 = 4 in

semi-circle perimeter = pi * R = 3.14 * 4 = 12.56 in

figure perimeter = 12.56 + 10 + 8 + 10 = 40.56 in (ANS)

Answer: it’s the first one.

Step-by-step explanation:

Answer:

5/4

Step-by-step explanation:

The slope intercept form for a linear equation is y = mx + b. The variable's (x) coefficient, which is represented as m, is the slope of any linear equation.

Answer:

5/4

Step-by-step explanation:

Got it right

Answer:

x = 2,  y=3

Step-by-step explanation:

3x + y = 9

5x + 4y = 22

Multiply the first equation by -4

-4(3x + y) = 9*-4

-12x -4y = -36

Add this to the second equation to eliminate y

-12x -4y = -36

5x + 4y = 22

---------------------------

-7x    = -14

Divide each side by -7

-7x/-7 = -14/-7

x = 2

Now find y

3x+y = 9

3(2) +y = 9

6+y = 9

Subtract 6 from each side

-6+6 +y = 9-6

y = 3

Answer:

x = 2, y = 3

Step-by-step explanation:

3x + y = 9 (1)

5x + 4y = 22 (2)

Multiply equation (1) by -4 and add to equation (2)

-12x - 4y = -36

5x + 4y = 22

-7x = -14

x = 2

Using any equation, solve for y

5(2) + 4y = 22

4y = 12

y = 3

The unit of metric measurement used

when measuring the width of your

pencil point is millimeters

Answer:

5

Step-by-step explanation:

2x - ( x - 7 ) = x + 7

x + 7 = 12

x = 12- 7 = 5

the number is 5

Answer: 1/4a - 1/6b + 1/10c

Hope this helped! Have a great rest of your day :)

Answer:

113.04 inches

use the formula for the area a circle

[tex]A=\pi a^{2}[/tex]

:

Answer:

The side length is 2 ft

Step-by-step explanation:

A cube has a volume of

V = s^3

8 = s^3

Take the cube root of each side

8 ^ 1/3  = s^3 ^1/3

2 = s

Answer: 1. $3.85

2. $1.55

3. 7/12

Step-by-step explanation:

1. Since you are finding out price PER gallon, you would divide $46.20 by 12 because Jayden bought 12 gallons.

2. Since they give you the price per gallon and the amount bought in this problem, you will multiply 1.2 and $1.29. Think of this as if you were buying 5 apples and each cost $1, you would do 5 x 1 to find the total cost. The same concept applies here.

3. To add 1/4 and 1/3 you would find a common denominator. The common denominator would be 12.  1/4 = 3/12 and 1/3 = 4/12. Now you can add them together, 3/12 + 4/12 = 7/12

Answer:

B. [tex]\frac{d + 13}{d + 4}[/tex]

Hope this Helps :)

Answer:

[tex]g(x) = {(x + 9)}^{2} [/tex]

Answer:

Your answer is A . 8

Step-by-step explanation:

hope it helps !

Answer:

4/25

Step-by-step explanation:

Total amount of marbles: 8 + 5 + 12 = 25

With 25 marbles, the probability of picking a red is: 12/25

After 1 red marble is removed, the probability of picking a black is: 8/24 = 1/3

Then, the probability of picking a red then a black marble if you do not replace the first marble is: 12/25 * 1/3 = 4/25

Answer:

option one :)

20 characters blah blah blah

answer 1 is correct

Step-by-step explanation: hope this helps

Answer:

[tex](x-8)^2 + (y-7)^2 - 17 = 0[/tex]

Step-by-step explanation:

The formula for the equation of a circle is:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

where (h,k) is the center and r is the radius of the circle.

To first solve solve this, use the endpoints of the diameter to solve for the center of the circle using the midpoint formula, which is known as:

[tex]\frac{(x_1+x_2)}{2},\frac{(y_1+y_2)\ }{2}[/tex]

The points given are (12,8) and (4,6), so plug in the coordinates into the formula.

Center = (1/2)(12+4),(1/2)(8+6)

            = (8,7)

Now, to find the radius, we can use the distance formula and use the center (8,7) and one of the endpoints, (12,8). The distance formula is known as:

[tex]\sqrt{(x_{1} -x_{2})^2 +(y_{1} -y_{2})^2 }[/tex]

Radius = √(x₂- x₁)² + (y₂-y₁)²

            = √(12- 8)² + (8-7)²

            = √(4² + 1²) = √(16+ 1) = √17

            = r² = 17

Now that the radius and the center are known, the equation of the circle can be written as:

[tex](x-8)^2 + (y-7)^2 - 17 = 0[/tex]

Answer:

It's 20 because 5ft times 4ft gives you 20ft