11. Michael is trying to rent a car during his vacation. He finds two companies
with the following deals.
Carol's Car Rentals
AL's Auto Rentals
$180 down payment
+ $15 per day
$250 down payment
$s per day
+
Part A: Write an expression that represents the cost at Carol's Car Rentals for (d)
days.
Your answer

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: 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:

Step-by-step explanation:

What you are looking for is the simplification of f(x) divided by g(x). This can be easily accomplished with synthetic division. If we are dividig the quadratic by x - 1, we will use the fact that if x - 1 = 0, then x = 1. We will put that 1 outside the "box" and put the coefficients from the quadratic inside the "box" and do the division synthetically. The coefficients on the quadratic terms are 2, 1, and -3:

1 | 2     1     -3

___________

We begin by bringing down the first number, a 2, and multiplying it by the 1 in the box and putting the product up under the 1:

1 |  2     1     -3

           2        

    2

Now we add down the column:

1 |  2     1     -3

          2        

    2     3

Now multiply the 3 by the 1 outside the box and put that product up under the -3 and then add down that column:

1 |  2     1     -3

          2     3

   2      3     0

Because we have a 0 remainder, that means that the quadratic was evenly divisible by x - 1.  What we have left is called a depressed polynomial. It takes on the x values at one degree lesser than what we started with. Namely, it will be 2x + 3.

2x + 3 is what we get when we divide the quadratic by x - 1. BUT because we started off with x - 1 in the denominator, even though we divided it away to simplify, we still have to take into account that the value of 1 makes the denomiator go to 0, which is never allowed in math.

So the answer you want is the first one!

Answer:

x = 2.36603 or 0.633975

Step-by-step explanation:

Here we want to solve the quadratic equation using the completing the square method.

2x^2-6x + 3 = 0

divide through by 2 first;

x^2 -3x + 3/2 = 0

x*2 -3x = -3/2

Half the x term will be -3/2 and squaring it is 9/4

we add this to both sides

x^2-3x/2 + 9/4 = -3/2 + 9/4

(x-3/2)^2 = 3/4

Finding square root of both sides

x-3/2 = √(3/4)

x = 3/2 ± √(3/4)

x = 3/2 + √(3/4) or x = 3/2-√(3/4)

which becomes

x = 2.36603 or 0.633975

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: 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:

Yes,  k is lower bound for the real zeros of the function.

Step-by-step explanation:

Lower Bound Theorem:

If you divide a polynomial function f(x) by (x - k), where k < 0, using synthetic division and this yields alternating signs, then k is a lower bound to the real roots of the equation f(x) = 0.

Given;

4x³ - 2x² + 2x + 4

k = -1

synthetic division;

-1 ]    4       -2        2        4

        ↓         -4        6       -8

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

        4         -6       8          -4  

(the result has alternating signs, hence k is lower bound)

Thus, k is lower bound for the real zeros of the function.

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:

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:

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:

A) -128x^8 - 384x^7

Step-by-step explanation:

The pattern is each term is multiplied by -2x which means by the eighth term youll have 8 x's in the first and 7 in the second. As you started off with a positive and multiplied it an even amount of time you'd end up with a negative answer. Think of it like this, it switches with each multiple so it would go: Positive, negative, positive, negative, this will get you a negative in the eighth term.

I know my explanation is a bit bad! I apologize!

Answer:

its a

Step-by-step explanation:

edge 2020 just took the test

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:

144cm²

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:

Pencils: 7 boxes

Erasers: 5 boxes

Step-by-step explanation:

She should buy 70 pencils and 70 erasers.

There are 7 pencil boxes for 70 pencils.

There are 5 eraser boxes for 70 erasers.

These are the smallest number of boxes she can buy without getting a fraction of a box.

Answer:

C

Step-by-step explanation:

Hopefully

C

I did it on edge hopefully this helps you and don't think i copied the other person

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: [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:

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:

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:

3/4

Step-by-step explanation:

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:

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+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:

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]

Answer:

see below

Step-by-step explanation:

From the graph the slope is -1 and the y-intercept is 9. Therefore we can use slope-intercept form (y = mx + b) which will be y = -x + 9.

Answer:

SA: 456

V: 408

Step-by-step explanation:

To find the volume of this prism, you first need to find the area of the triangular base. The base has dimensions 6 by 8, and since it's a triangle, the area of the base is 6*8/2=24. Multiplying this by the length of the prism, you get a volume of 24*17=408. For the surface area, you need to find and add together the areas of all of the surfaces. We have already determined that the area of the two triangular bases are 24. The rectangle formed by the leg with length 6 has area 6*17=102, the one with length 8 has area 136, and the hypotenuse has area 170. Adding all of this together, you get a surface area of 24+24+102+136+170=456 square centimeters. Hope this helps!

Formula of surface area: T.S.A = ph + 2b

p: represents the perimeter of the base, h

h: the height of the prism and B

B: the area of the base.

6 + 8 + 10 = 24

24 x 17 = 408cm^2

Formula of Volume:

V: of a prism is the area of the base

B: times the height h

h: height

V=Bh

8 x 7 = 56cm^3

Answer:

No solution

Step-by-step explanation:

This function places the parabola above the x axis, so there are no x intercepts

Answer:

B - No solution

Step-by-step explanation:

This equation does not have a x-intercept, making this an equation with no solution.