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3 years ago

What is the equation of the axis of symmetry of a parabola if its x-intercepts are –3 and 5?

Mathematics

1 answer:

melisa1 [442]3 years ago

6 0

Answer:

x = 1

Step-by-step explanation:

The axis of symmetry is a vertical line and is located at the midpoint of the x- intercepts, thus

x = $\frac{-3+5}{2}$ = $\frac{2}{2}$ = 1

That is equation of symmetry is x = 1

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Setler [38]

Answer:

The age group 12-19 drinks more soda

Step-by-step explanation:

8 0

3 years ago

A company will need 1.8 million 5 years from now to replace some equipment. Currently, the firm has some extra cash and would li

Nezavi [6.7K]

Given:

a.) A company will need 1.8 million 5 years from now to replace some equipment.

b.) The account pays 5.25 percent interest, compounded annually.

We will be applying the Compounded Interest Formula:

$\text{ A = P\lparen1 + }\frac{r}{n})^{nt}$

Where,

A=final amount

P=initial principal balance/money to initially deposit

r=interest rate (decimal)

n=number of times interest applied per time period

t=number of time periods elapsed (in years)

In this scenario, we are asked what is the amount of principal balance/initial deposit to make to get 1.8 million in 5 years.

Annually = n = 1

We get,

$\text{ 1,800,000 = P\lparen1 + }\frac{\frac{5.25}{100}}{1})^{(1)(5)}$ $1,800,000\text{ = P \lparen1 + 0.0525\rparen}^5\text{ = P \lparen1.0525\rparen}^5$ $\text{ P = }\frac{1,800,000}{(1.0525)^5}$ $\text{ P = 1,393,676.5175887556 }\approx\text{ 1,393,676.52}$

Therefore, the answer is 1,393,676.52

5 0

1 year ago

Salma and coron broomall have reached an agreed upon price of $197,000. They plan to make a 30 percent down payment and finance

Sladkaya [172]

Answer:

1. The monthly payment is $689.5

2. The total amount to be paid is

$224,580.

Step-by-step explanation:

Salsa and Corn Broom all reached an agreement upon the price of $197,000.

- The plan on making a 30 percent down payment. This implies that the will pay 0.3 × $197,000 = $59,100

This leaves them with

$197,000 - $59,100

= $137,900 to pay.

The plan on financing this remaining amount at 6 percent for 20 years.

This means they will pay

0.06 × $137,900 = $8,274 for 20 years. This translates to the payment of $8,274 × 20 = $165,480 across the 20 years.

1. The monthly payment is the yearly payment divided by 12.

Which is $8,274 ÷ 12 = $689.5

2. The total amount to be paid is

$165,480 + $59,100

= $224,580.

6 0

3 years ago

Which graph represents the linear function y = x 3/4– 4?

ahrayia [7]

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

$y=\frac{3}{4}x-4$

This is a linear equation (the graph is a line)

To identify the graph find out the intercepts

Find out the y-intercept

The y-intercept is the value of y when the value of x is equal to zero

For x=0

$y=\frac{3}{4}(0)-4=-4$

The y-intercept is the point (0,-4)

Find out the x-intercept

The x-intercept is the value of x when the value of y is equal to zero

For y=0

$0=\frac{3}{4}x-4$

$\frac{3}{4}x=4$

$x=16/3=5.33$

The x-intercept is the point (5.33,0)

therefore

The graph in the attached figure

3 0

3 years ago

Could someone please help me with this question

defon

Answer:

Proportional: second and third, non-proportional: first and fourth

Step-by-step explanation:

Proportional relationships are linear functions that pass through the origin. Using this definition, we can conclude that the proportional relationships are the second and third options whereas the non-proportional relationships are the first and fourth options.

3 0

3 years ago

Read 2 more answers