A parabola opening up or down has vertex (0,
–
4) and passes through (
–
12,8). Write its equation in vertex form

Answer:

x = [tex]\frac{10}{3}[/tex] or [tex]3\frac{1}{10}[/tex]

Step-by-step explanation:

2x - 8 = 12 - 4x

1) Add 8 on boths sides:

2x - 8 + 8 = 12 - 4x + 8

2x = 20 - 4x

2) Add 4x to both sides:

2x + 4x = 20 - 4x + 4x

6x = 20

3) Divide 6 on both sides

[tex]\frac{6x}{6} = \frac{20}{6}[/tex]

x = [tex]\frac{10}{3}[/tex] or [tex]3\frac{1}{10}[/tex]

Answer:

A

Step-by-step explanation:

it's 8.36 which is between 4 and 10

Answer:

4$ per minute. You make 20 dollars in 5 minutes so 20 divided by 5 is 4.

Answer:

18

Step-by-step explanation:

Answer:

What is the importance of polynomial functions?

Polynomials are an important part of the "language" of mathematics and algebra. They are used in nearly every field of mathematics to express numbers as a result of mathematical operations. Polynomials are also "building blocks" in other types of mathematical expressions, such as rational expressions.

How these real-life applications improve or contribute to the value of life?

Since polynomials are used to describe curves of various types, people use them in the real world to graph curves. Combinations of polynomial functions are sometimes used in economics to do cost analyses, for example. Engineers use polynomials to graph the curves of roller coasters and bridges.

Answer:

180°

Step-by-step explanation:

ABCD is a parallelogram.

Measures of the opposite angles of a parallelogram are equal. Here [tex] \angle A, \:\: \angle C \: \: and\:\: \angle B, \:\: \angle D[/tex] are opposite angles.

[tex] \therefore m\angle A = m\angle C = 110\degree [/tex]

[tex] \& \:m\angle B = m\angle D = 70\degree [/tex]

[tex] m\angle A + m\angle B =110\degree + 70\degree [/tex]

[tex] m\angle A + m\angle B =180\degree [/tex]

Answer:

(-5, -1)

Step-by-step explanation:

When two lines intersect, their x and y values are equal. So,

x = 3y - 2 must equal -7 - 2y = x

x = 3y - 2 = -7 - 2y = x

Let's look at the two middle equations and solve for y.

3y - 2 = -7 - 2y

Add 2y to both sides

5y - 2 = -7

Add 2 to both sides.

5y = -5

y = -1

Now, let's find x. You can use either equation for this step.

When y = -1, then 3y - 2 =

(3)(-1) - 2 = -3 - 2 = -5

So, x = -5, and y = -1

Thus, the answer is (-5, -1)

I hope this helps! Feel free to ask any questions!

Answer:

n = 14

Step-by-step explanation:

[tex]5^n = 5^{11} * 5^3[/tex]

simplify the right side

[tex]5^n = 5^{14}[/tex]

Then you can easily see that

[tex]n = 14[/tex]

Answer:

n = 14

Step-by-step explanation:

[tex]a^{x}*a^{y}=a^{x+y}\\\\5^{n} = 5^{11}*5^{3}\\\\5^{n} = 5^{11+3}\\\\5^{n}=5^{14}\\\\[/tex]

n = 14

Answer:

90

Step-by-step explanation:

A group of 10 people is choose a chairperson and vice-chairperson. They put all 10 peoples names into a bar. The first name drawn becomes chair. The second name drawn becomes vice-chair. How many possible combinations of chair and Vice-chair are there ?

This is calculated using the Permutation formula

nPr = n!/(n - r)!

Where:

n = 10 people

r = 2 = 2 positions to be filled , Chairman and Vice chairman

Hence:

10P2 = 10!/(10 - 2)!

= 90 ways

Answer:

The function that can be used to describe the number (n) of bacteria after 2 minutes is;

[tex]P = 4 \cdot e^{\left(\dfrac{ln(32)}{5} \times 2\right)} \approx 4 \cdot e^{\left(0.693\times 2\right)}[/tex]

Step-by-step explanation:

The data in the table are presented as follows;

Number of bacteria; 4, 128, 4,096, 131,072

Number of minutes from initial state; 0, 5, 10, 15

The general equation for population growth is presented as follows;

[tex]P = P_0 \cdot e^{r\cdot t}[/tex]

Where;

P = The population after 't' minutes

P₀ = The initial population

r = The population growth rate

t = The time taken for the growth in population numbers

At t =  minutes. we have;

[tex]4 = P_0 \cdot e^{r\times0} = P_0[/tex]

∴ P₀ = 4

At t = 5, we have;

[tex]128 = 4 \cdot e^{r\times 5}[/tex]

[tex]\therefore e^{r\times 5} = \dfrac{128}{4} = 32[/tex]

[tex]ln\left(e^{r\times 5}\right) = ln(32)[/tex]

∴ r × 5 = ㏑(32)

r = ln(32)/5 ≈ 0.693

The number (n) of bacteria after 2 minutes is therefore;

[tex]P = 4 \cdot e^{\left(\dfrac{ln(32)}{5} \times 2\right)} \approx 4 \cdot e^{\left(0.693\times 2\right)}[/tex]

Answer:

4(9a - 4)

Step-by-step explanation:

Answer:

4(9a - 4)

Step-by-step explanation:

Given

36a - 16 ← factor out 4 from each term

= 4(9a - 4)

Answer:

term 1 - term 2 = sequence

so

-17-(-15) = -2

and if you minus the rest by -2 it will give you the next term

-15-(-2) = -13

-13-(-2) = -11

Answer:

2

Step-by-step explanation:

:0

Answer:

Brand A

Hope this helped!

Step-by-step explanation:

Answer:

[tex] - 2x + 28[/tex]

Step-by-step explanation:

1) Expand by distributing terms.

[tex] - 2x - 2 \times - 14[/tex]

2) Simplify 2 × -14 to -28.

[tex] - 2x - ( - 28)[/tex]

3) Remove parentheses.

[tex] - 2x + 28[/tex]

Therefor, the answer is - 2x + 28.

Answer:

Write the problem as a mathematical expression. (5,5), (5,−8)

Use y=mx+b to calculate the equation of the line, where m represents the slope and b represents the y-intercept. To calculate the equation of the line, use the y=mx+b format.

Slope is equal to the change in y over the change in x , or rise over run.

m=(change in y)/(change in x)

The change in x is equal to the difference in x-coordinates (also called run), and the change in y

is equal to the difference in y-coordinates (also called rise).

m=(y2−y1) / (x2−x1)

Substitute in the values of x and y

into the equation to find the slope.

m=(−8−(5)) / (5−(5))

Finding the slope m.

Undefined

x=5

Step-by-step explanation:

Answer:

m = undefined

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Point (5, 5)

Point (5, -8)

Step 2: Identify

(5, 5) → x₁ = 5, y₁ = 5

(5, -8) → x₂ = 5, y₂ = -8

Step 3: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Here we see that we have a number divided by 0. Since we know that we cannot divide any number by 0, our slope will be undefined. This will be a vertical line on a Cartesian plane of x = 5.

Answer:

1) 3 , 2)Add 8 floats 3) -2 4) Remove 8 anchors.

Step-by-step explanation:

Answer:

14 that's the answer I think so hope its it

v/8=2

x8 x8

v=16

16=k/11

x11   x11

176=k

18+m=8

-18     -18

m=-10

---

hope it helps

Answer:

0.9985

Step-by-step explanation:

Answer:

where should I substitute 8 for x? if its like this 4(8)+y=12 than its y=-20

Step-by-step explanation:

Answer: C

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

4x^2[tex]\sqrt{7x^{2} }[/tex]

Answer:

the answer is going to be 203 square inches

Step-by-step explanation:

7 x 11 = 77

77 x 2 = 154

7 x 7 = 49

154 + 49 = 203

NOTICE:11.5 is useless, don't get tricked.

Answer:

Solution given:

side of base[a]=7in

height[h]=11in

slant height [l]=11.5in

THE TOTAL SURFACE AREA OF THE SQUARE PYRAMID=a²+2ah=7²+2*7*11=203in²

The total surface area of square pyramid is 203in².

Step-by-step explanation:

I think it's B, if you are missing a decimal point and the second term is 17.2 and not 172. otherwise none are equivalent

Answer:

D. 45/2 and (1)

A. 89/2 and ( 18 )

Step-by-step explanation:

ap3x

Answer:

Yes , i agree with Noah that the equation would be 3(x + 7) = 57

Step-by-step explanation:

P.S - The exact question is -

To find  - Noah writes the equation 3 (x+7)=57 to represent the situation.

               DO YOU agree with him? Explain your answer.

Proof -

Yes , i agree with Noah

Because in the figure we can see that there is x written 3 times and 7 written 3 time and whole the values is equal to 57 .

Because 57 is divided into x 7 x 7 x 7

∴ we can write it as

3 times x + 3 times 7 = 57

⇒3(x) + 3(7) = 57

⇒3(x+7) = 57

Ans Noah give the same equation 3 (x+7)=57

So, I agree with Noah.