The function f(x) is shown in the graph above

The function g(x) = -2x - 5
compare the slopes

A. The slope of f(x) is undefined and the slope of g(x) is negative

B. the slope of f(x) is the same as the slope of g(x)

C. The slope of f(x) is less than the slope of g(x)

D. The slope of f(x) is greater than the slope of g(x) ​

Answer:

180 meters

Step-by-step explanation:

The function you have here is negative function meaning the function has a concave down parabola (if you graph it on desmos or a graphing calculator you'll see what I'm talking about).

So they gave it to you in factored form and asked you to find the max. The max of this function is at the vertex of the parabola. In order to find the vertex you have distribute or multiply to get the original polynomial.

-5(x-8)(x+4)

-5(x^2+4x-8x-32)

-5(x^2-4x-32)

-5x^2-20x-160

Vertex formula is: -b/2a

b = 20

a = -5

[tex]\frac{-20}{2(-5)}[/tex]

= 2

The x-coordinate of the vertex is 2.

Plug 2 into the equation

-5(2)^2+20(2)+160

= 180 meters

Answer:

Federal tax amount = $18,425

Step-by-step explanation:

Given:

Total sales amount = $335,000

Federal tax rate = 5.5%

Find:

Federal tax amount = ?

Computation:

⇒ Federal tax amount = Total sales amount × Federal tax rate

⇒ Federal tax amount = $335,000 × 5.5%

⇒ Federal tax amount = $335,000 × 0.055

⇒ Federal tax amount = $18,425

Therefore, total amount of federal tax owed is $18,425

Answer:

N=6

Step-by-step explanation:

As the answer is 6 and we already have 3 so the other half is 3. Half of 6 is three so n=6

Answer:

m=-16

Step-by-step explanation:

To solve the equation, we want to find out what m is. In order to do this, we have to get m by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.

-35=m-19

19 is being subtract from m (-19). The opposite of subtraction is addition. Add 19 to both sides (+19) The -19 and +19 equal 0, and therefore cancel each other out.

-35+19=m-19+19

-35+19=m

-16=m

Let's check our solution. Plug -16 back in for m in the original equation.

-35=m-19

-35=-16-19

-35=-35

Both sides of the equation are the same, so we know that m is equal to -16.

Answer:

A = 25pi m^2

Step-by-step explanation:

We know the diameter, we need the radius

r = d/2

r = 10/2 = 5

The area of a circle is given by

A = pi r^2

A = pi (5)^2

A = 25pi m^2

Answer:

d = 0.0175n    ---> required equation

Billy can buy 285.714 gram nut with $5

Step-by-step explanation:

cost of 100g loose nut = $1.75

dividing LHS and RHS by 100

cost of 100/100g loose nut = $1.75

Thus, cost of 1 gm loose nut = $0.0175

let the weight of loose nut be n gm

Multiplying LHS and RHS by n

cost of x g loose nut = $0.0175*n =  $0.0175n

It is given that Billy spent d dollars to buy n gm nuts

thus,

d = 0.0175n    ---> required equation

________________________________________________

He spent $5 to buy nuts

substituting value of d as 5 we have

0.0175n = 5

=>n = 5/0.0175 = 285.714

Thus, Billy can buy 285.714 gram nut with $5.

Answer:

[tex]\fbox{\begin{minipage}{4em}x = -4\end{minipage}}[/tex]

Step-by-step explanation:

Given:

Equation:  [tex]4x - 1 = 3x - 5[/tex]

Solve for:

[tex]x[/tex]

Solution:

Step 1: Select relevant approach:

Let's move all the components containing x to the left side and other components to the right side (notice the change of sign of each one from positive to negative and negative to positive), then solve for [tex]x[/tex]

Step 2: Perform the calculation:

       [tex]4x - 1 = 3x - 5[/tex]

Moving components:

<=>  [tex]4x - 3x = 1 - 5[/tex]

Performing simplification to get [tex]x[/tex]

<=>[tex]x = -4[/tex]

Hope this helps!

:)

Answer:

144cm²

Step-by-step explanation:

Answer:

Step-by-step explanation:

Part A

[tex]V=\pi r^2h=\pi *2.5^2*7.5=147.26\\=147in^3\\[/tex]

Part B

[tex]r=\sqrt{\frac{V}{\pi h} } \\=\sqrt{\frac{75}{\pi *6} } \\=1.99\\=2in[/tex]

Answer:

it's SAS. You've probably found out by now sorry :/

Step-by-step explanation:

Answer:

sas

Step-by-step explanation:

Answer:

the number of times Angela needs to fill the 1/4-cup measuring cup to pour 1/2 cup of milk is 2.

Complete question:

While making oatmeal cookies, Angela needs to add 1/2 cup of milk to her dough. However, she has only a 1/4-cup measuring cup. How many times does she need to fill the measuring cup to pour 1/2 cup of milk? The number of times Angela needs to fill the 1/4-cup measuring cup to pour 1/2 cup of milk is?

Step-by-step explanation:

Number of cups Angela needs to add to her dough = 1/2 cup of milk

The only measuring cup she has = 1/4-cup measuring cup.

To determine the number of times she needs to fill the measuring cup to pour 1/2 cup of milk, we would divide the 1/2 cup of milk by 1/4-cup measuring cup

= ½ ÷ ¼

= ½ × 4/1

= 4/2

= 2

Angela would need to fill 2 times

Therefore, the number of times Angela needs to fill the 1/4-cup measuring cup to pour 1/2 cup of milk is 2

Answer:

The answer is 2 (:

Step-by-step explanation:

I got it right on the test in Edmentum

Hope this helps

Answer:

156

Step-by-step explanation:

1) The formula for finding the sum of interior angles of an n-gon is 180(n-2)

2) Plug in 15 for n

180(15-2)

3) Solve

180(15-2)

180(13)

2340

4) There are 15 angles in a 15-gon

5) Divide sum of interior angles by number of interior angles

2340/15 = 156

6) So, the answer is 156 degrees

Answer: x=-0.792

Step-by-step explanation:

For this problem, you want to get like terms onto one side, then solve for x.

[tex]\frac{1}{25}=5x+4[/tex]

[tex]-\frac{99}{25} =5x[/tex]

x=-0.792

Answer:

0,-11

Step-by-step explanation:

-p^2 − 11p = 0

Factor out -p

-p( p+11) =0

Using the zero product property

-p =0    p+11 =0

p =0      p = -11

Answer:

b) 5.8

Step-by-step explanation:

Explanation

Given diagram the angles are (9 x + 6)°, (10 x + 7)°, (10 x - 1)°

we know that the sum of the angles of the triangle is equal to 180°

∠A +∠B +∠C = 180°

(9 x + 6)°+(10 x + 7)°+ (10 x - 1)° = 180°

On simplification , we get

29 x + 12 = 180

29 x = 180 -12

29 x = 168

x = 5.79 ≅ 5.8

Answer:

b

Step-by-step explanation:

Answer:

x = 20º

Step-by-step explanation:

we know that  sin x = cos(90-x)

Hence

sin 30º = cos(90 - 30)º

sin 30º = cos 60º

hence sin 30º can be also written as cos 60º

Also, as given

sin 30º = cos(3x)

therefore

cos 60º =  cos(3x)

as we have cos on both side then angle for both side will be same

60º =  3x

=> 60º / 3 = x

=> x = 20º

Then  x = 20º is answer.

Answer:

3/4

Step-by-step explanation:

Answer:

exponential growth

Step-by-step explanation:

f(x)  = 2  * 2^x

This is in the form

y = a * b^x  where a is the initial value and b is the growth rate or decay rate

b > 1 so it is growth

This is  the exponential form

y = mx+b is the linear form

Answer:

b+3

Step-by-step explanation:

Largura : b+2

Área: b² +5b +6

Sabe-se que a área de um retângulo é dada pela largura multiplicada pela altura.

A partir dos zeros da equação da área é possível encontrar o polinômio da altura:

[tex]b^2 +5b +6\\b=\frac{-5\pm \sqrt{25-4*1*6} }{2} \\b'=-2\\b''=-3[/tex]

Visto que o polinômio da largura é b+2, para que a equação da área seja válida, o polinômio da altura deve ser b+3.

A prova pode ser feita pela multiplicação dos polinômios:

[tex]A = L*H\\A=(b+2)*(b+3)\\A=b^2+5b+6[/tex]

Answer:

1/3

Step-by-step explanation:

[tex]\sqrt[4]{4x+10}[/tex] = 4x+10 ^1/4

[tex]\sqrt[4]{9+7x}[/tex]= 9+7x^1/4

Since they are under the same root, you can combine them under the root.

Then you change the +/- sign of one side of the equation to move to the other side of the equation.

To get....[tex]\sqrt[4]{-3x+1}[/tex]=0

^4 both sides to get..

-3x+1=0

Move 1 to the other side...

-3x=-1

divide both sides by -3

x=1/3

The percent decrease is found by using the formula (original price - new price)/(original price). The percent decrease is then (2.49 - 1.99)/2.49 = 0.20 = 20%. A percent increase is found by using the formula (new price - original price)/(original price). The percent increase is then (2.49 - 1.99)/1.99 = 0.25 = 25%. The percents of change are not the same. The percent increase is greater.

Answer:

2.49-1.99= 0.5

0.5 divided by2.49 times 100 is about 20% decrease

1.99-2.49+0.5 also so it is also a 25 percent increase

Step-by-step explanation:

Answer:

f⁻¹(f(6.022)) = 6.022

f⁻¹(-10) + f(-6) = -6 + -10 = -16

Step-by-step explanation:

f⁻¹(f(x)) = x

so  f⁻¹(f(6.022)) = 6.022

inverse function flips y and x coordinates so look at table where f(x)=-10 and read x so f⁻¹(-10) = -6

f⁻¹(-10) + f(-6) = -6 + -10 = -16

Answer:

A∪B = {0,1,3,5,6,7,9}

A∩B = {3}

Step-by-step explanation:

A = {1,3,5,7}

B = {0,3,6,9}

Now

A∪B is a union (unity) of both sets

A∪B = {0,1,3,5,6,7,9}

Now

A∩B is the intersection(common elements) of both sets

A∩B = {3}

Answer:

Step-by-step explanation:

A ={1, 3 , 5 , 7}

B= {0, 3 , 6 , 9}

A U B is a set of all distinct elements that are in A or B

A U B = {0, 1 , 3 , 5 , 6 , 7 , 9}

A ∩ B is a set  of all distinct elements that are in both A & B

A  ∩ B = {3}

Answer: The missing values represented by x and y are 8 and 20, that is;

(x, y) = (8, 20)

Step-by-step explanation: The function y = 16 + 0.5x is a linear equation that can be solved graphically. This means the values of both variables x and y can be found on different points along the straight line graph.

The ordered pairs simply means for every value of x, there is a corresponding value of y.

The 2-column table has values for x and y which all satisfy the equation y = 16 + 0.5x. Taking the first row for example, the pair is given as (-4, 14).

This means when x equals negative 4, y equals 14.

Where y = 16 + 0.5x

y = 16 + 0.5(-4)

y = 16 + (-2)

y = 16 - 2

y = 14

Therefore the first pair, just like the other four pairs all satisfy the equation.

Hence, looking at the options given, we can determine which satisfies the equation

(option 1) When x = 0

y = 16 + 0.5(0)

y = 16 + 0

y = 16

(0, 16)

(option 2) When x = 5

y = 16 + 0.5(5)

y = 16 + 2.5

y = 18.5

(5, 18.5)

(option 3) When x = 8

y = 16 + 0.5(8)

y = 16 + 4

y = 20

(8, 20)

From our calculations, the third option (8, 20)  is the correct ordered pair that would fill in the missing values x and y.

Answer:

The missing values represented by x and y are 8 and 20, that is;

(x, y) = (8, 20)

Step-by-step explanation:

Answer:

Adding 13 to both sides we get x = 8.

Answer:

x = 8

Step-by-step explanation:

x - 13 = -5

x = 8

Answer: [tex]y=\frac{1}{4} x-5[/tex]

Step-by-step explanation:

Lines perpendicular to another line have inversely proportional slopes. We are given that the slope of the line is -4, so the slope of the perpendicular line will be positive 1/4. Now we have a starting point for this line:

[tex]y=\frac{1}{4} x+b\\-8=\frac{1}{4} (-12)+b\\-8=-3+b\\b=-5[/tex]

Notice how I plugged in the points given.

Answer: 4.2

Step-by-step explanation:

the coefficient is the number used to multiply a variable. here, the variable is x, and it is being multiplied by 4.2.

so the coefficient of the equation is 4.2

Answer:

50

Step-by-step explanation:

opposite angles are equal so 50 is corresponding with x

Answer:

x = 50

Step-by-step explanation:

Parallelogram have opposite sides parallel and equal in length.  The opposite angles are equal.

x = 50

Answer:

The answer is 72.

Step-by-step explanation:

You have to put in the values of a and b into the expressions :

[tex] {a}^{2} {b}^{3} - {(ab)}^{2} [/tex]

[tex]let \: a \: = - 2 \\ let \: b = 3[/tex]

[tex] {( - 2)}^{2} \times {(3)}^{3} - {( - 2 \times 3)}^{2} [/tex]

[tex] = 4 \times 27 - { (- 6)}^{2} [/tex]

[tex] = 108 - 36[/tex]

[tex] = 72[/tex]