Graph the line.
y=-3x - 3

Answer:

13). y = x² + 6x + 8

14). y = 2x² + 8x - 12  

Step-by-step explanation:

13). Vertex form of a parabola is given by,

     y = a(x - h)² + k

     Here (h, k) is the vertex of the parabola.

     Equation of a parabola with vertex (-3, -1) will be,

     y = a(x + 3)² - 1

     Since, y-intercept of the parabola is y = 8

     In other words, parabola is passing through (0, 8)

     8 = a(0 + 3)² - 1

     8 = 9a - 1

     9a = 9

     a = 1

    Therefore, equation of the parabola will be,

    y = (x + 3)² - 1

    y = x² + 6x + 9 - 1

    y = x² + 6x + 8

14). Equation of a parabola with vertex (-2, -20)

     y = a(x + 2)² - 20

     Since, y-intercept of the parabola is (0, -12),

    -12 = a(0 + 2)² - 20

    -12 + 20 = 4a

     4a = 8

     a = 2

    Therefore, equation of the parabola will be,

     y = 2(x + 2)² - 20

     y = 2(x² + 4x + 4) - 20

     y = 2x² + 8x + 8 - 20

     y = 2x² + 8x - 12  

Answer:

x=-5/2,0

Step-by-step explanation:

It is solved by first factorizing it

10x²+25x=5x(2x+5)=0

Finding the zeros

5x=0x=0/5=0

2x+5=0

x=-5/2

Therefore x is -5/2 or 0

Answer:

5/6−1/9=13/18

Step-by-step explanation:

The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.

Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.

(5/6×3/3)−(1/9×2/2)=?

Complete the multiplication and the equation becomes

15/18−2/18=?

The two fractions now have like denominators so you can subtract the numerators.

Then:

15−2/18=13/18

This fraction cannot be reduced.

Therefore:

5/6−1/9=13/18

Answer:

false it is not always reduced form

The number of people in the 25th annual parade in the town, can be found to be 203 people

The number of people that attend the town parade, has been increasing by 5% each year since the first year. In that first annual parade, 60 people showed up.

The number of people in the 25th parade can be found by the formula:

= Number of people in first parade x ( 1  + growth rate) ^ number of years

= 60 x ( 1 + 5% ) ²⁵

= 60 x 3.3863549408993848167083336666837

= 203 people

Find out more on number of people at https://brainly.com/question/14322607

#SPJ1

Answer: 0.643

Step-by-step explanation:

There are 300 people and 193 were female.

The sample portion that is female is therefore;

= 193/300

= 0.643

Answer:

y=5x-40

Step-by-step explanation:

It says 5 feet per second, so you know that is the rate/speed. The rate is always going to be x. The building starts in the basement which is  -40 because the basement is under ground level, so it would be less then 0 (ground level) and y is the final height you are at.

Because here there are 5 zeroes so 0.00003 can be written as 3/100000 , here 100000 = 10⁵ . Now , 3/10⁵ → 3 × 1/10⁵ → 3 × 10-⁵

Hence , 0.00003 = 3 × 10-⁵ . So it is -5

Answer:

1) y = 1.8741176487x + 3.655964863

2) About $191 using the equation, about $180 or more using the data you are given.

3) I can use the regression calculator by using the largest number of customers you have in the data set and lowest number of customers and compare them to see if the numbers are in ascending or descending order.

Answer:

56 if rounding but 56.50 if not

Step-by-step explanation:

rate

Answer:

I put the equation into Point-Slope Form and got:

y - 2 = 2/3(x + (-12))

Distribute the 3 to the numbers on the left:

3y - 6 = 2(x - 12)

Multiply the Parenthesis by 2:

3y - 6 = 2x - 24

Add 6 to the right side:

3y = 2x - 18

Divide both sides by 3:

y = 2/3x - 6 is the answer :)

Answer:

6 packs of each

Step-by-step explanation:

$4+$2.50=$6.50

39/6.5=6

Answer:

6

Step-by-step explanation:

4x + 2.50x = 39

6.50x = 39

x = 6

Answer:

-5k - 10

Step-by-step explanation:

-k + 2 (-2k - 5)

-k - 4k - 10

-5k - 10

Answer:

-K+2(-2K-5)

-K-2K-10

-3K=10

K= 10÷(-3)

K=-3.333333

Given:

The recursive formula of a geometric sequence is

[tex]a_n=a_{n-1}\cdot (\dfrac{1}{8})[/tex]

[tex]a_1=-3[/tex]

To find:

The explicit formula of the given geometric sequence.

Solution:

We know that, first term of geometric sequence is [tex]a_1=-3[/tex].

Recursive formula of a geometric sequence is

[tex]a_n=a_{n-1}\times r[/tex]      ...(i)

where, r is common ratio.

We have,

[tex]a_n=a_{n-1}\cdot (\dfrac{1}{8})[/tex]    ...(ii)

On comparing (i) and (ii), we get

[tex]r=\dfrac{1}{8}[/tex]

The explicit formula of a geometric sequence is

[tex]a_n=a_1r^{n-1}[/tex]

Putting [tex]a_1=-3[/tex] and [tex]r=\dfrac{1}{8}[/tex], we get

[tex]a_n=-3\left(\dfrac{1}{8}\right)^{n-1}[/tex]

Therefore, the correct option is D.

Answer:pop

Step-by-step explanation:

Answer:

14:28

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

change 6 into 6/1

6/1 times 3/2 cause you switch around the two and three and change it to multiplication

6 times 3 = 18

2 times 1 = 2

18/2 = 9/1 = 9

Answer:

Dilation

Step-by-step explanation:

Given

Main function: f(x)

Resulting function: 5f(x)

Required

Which transformation exists between both functions

The general explanation is that:

When a function f(x) is multiplied by a constant k, the resulting function g(x) is a dilation of f(x).

Mathematically, if the following relationship exists between f(x) and g(x)

g(x) = k.f(x)

Then g(x) is a dilation of f(x) and k is the constant of proportionality or dilation ratio

In this case:

g(x) = 5f(x)

So, the transformation that answers the question is dilation.

Answer: vertical | stretch | left

Step-by-step explanation:

There is no image posted though?

Answer: there is no image though

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

She surveys adults with a child , preschoolers , Primary students, and upper elementary Students , and these are the majority of all the people that go to the library.

(it was also correct when i took it on Edge(nuiy!)

I hope this helped you a bit!!!!

Answer:

A

Step-by-step explanation:

Answer:

A sandwich costs $6

Answer:

2.4%

Step-by-step explanation:

Total amount of payments:

5 years * 12 months/year * $78.40/month =

= $4704.00

Amount of interest paid in 5 years:

$4704 - $4200 = $504

Amount of interest paid in 1 year:

$504/5 = $100.80

Annual percent rate of interest:

$100.80/$4200 * 100% = 2.4%

Answer: 2.4%

Answer:

The answer is D

Step-by-step explanation:

Which multiplication problem does the model represent?

A- 1/8 times 2

B- 7/8 times 2

C- 1/2 times 4

D- 1/4 times 8

The correct answer would be D- 1/4 times 8

This is the correct answer because if you look at the model, it shows 2 blocks of 1, and then 8 blocks of 1/4, which both equal 2, and the model does not say anything about the top row, only the bottom, and after process of elimination, you would be left with 1/4 times 8

Answer:

4) 26+4/842-/×375-^×

5)/^9+37+×+454+12

Step-by-step explanation:

Answer:

Well... only two people can answer a question. But you must have both two answers for a question to give brainliest to one or another. Got it? :)

Step-by-step explanation:

Answer:

you need to show or tell us the problem for us to be able to help you

Step-by-step explanation:

:/

Answer:

um

Step-by-step explanation:

can u show us the question bc we can't help if there's no question

Answer:

520 feet

Step-by-step explanation:

The area=16900

Area formula=b^2

b^2=16900

square root of 16900=130

130*4=520

Given:

Player 1 is at (-7,5).

Player 2 is at (7,5).

To find:

The relationship between the positions of the two players.

Solution:

The two points are (-7,5) and (7,5).

Here, x-coordinates are different but y-coordinates are same. The absolute values of x-coordinates are equal but the signs are different.

The transformation is defined as

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

It means, the points are mirror image of each other with respect to y-axis.

Player 1's position is Player 2's position reflected across the y-axis; only the signs of the x-coordinates of Player 1 and Player 2 are different.

Therefore, the correct option is C.