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3 years ago

The price of a CD that sells for 21% more than the amount (m) needed to manufacture the CD

Mathematics

1 answer:

vfiekz [6]3 years ago

5 0

Answer:

I need more explanation is there more to the question?

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Which situation can be modeled by the equation y=3x+25

Gnesinka [82]

For this case we have the following situation:

The monthly cost of a gym in the city is $ 3. The initial registration is $ 25. Write a mathematical expression that models the problem.

So we have to define variables:

x: number of months

y: total cost

The mathematical expression that models the problem is:

$y = 3x + 25$

7 0

3 years ago

Type the correct answer in the box. Rewrite the quadratic equation in the form y = a(x − h)2 + k. y=5x^2-30x+95

S_A_V [24]

Answer:

y = 5(x - 3)^2 + 50

Step-by-step explanation:

The problem wants you to rewrite the quadratic equation in the vertex form y = a(x - h)^2 + k

You are given a quadratic equation in standard form (ax^2 + bx = c).

To convert from standard form to vertex form, there are two ways but I will show you the easier(?) way.

Use the formula x = -b/2a to find the x-value (h) of the vertex. Note that the vertex in "vertex form" is (h, k) which is virtually the same as (x, y).

In y = 5x^2 - 30x + 95, a = 5, b = -30, and c = 95. Substitute a and b into the formula -b/2a.

-(-30) / 2(5)

Two negative make a positive, so -(-30) becomes 30 and 2 times 5 is 10. Now we have:

30/10 which simplifies down to 3.

The x (h) value of the vertex is 3. To find the y-value, substitute 3 into the original standard form equation.

y = 5(3)^2 - 30(3) + 95
= 5(9) - (90) + 95
45 - 90 + 95
50

The y (k) value of the vertex is 50. Now we have: (h, k) ⇒ (3, 50).

Substitute the values for h and k into the vertex form.

y = a(x - 3)^2 + 50

We still need the a-value, and this is easy to find. You take the a value from the original standard for equation (remember: <u>a</u>x^2 + bx + c)

So our a-value is 5. Now we can substitute this value into the vertex form and complete the question.

y = 5(x - 3)^2 + 50

6 0

3 years ago

Plzzzzzzxzz help with these 2 problems pleeeaseee:((

givi [52]

the first answer is 59.2 and the second answer is 1.5

4 0

3 years ago

3x+30+x=10+2x+5x+2 <br> i need help fast

kupik [55]

Answer:

x=6

Step-by-step explanation:

Group Like Terms:

3x+x+30=10+2x+5x+2

Add similar elements 3x+x=4x:

4x+30=10+2x+5x+2

Add similar elements 2x+5x=7x:

4x+30=10+7x+2

Group like terms:

4x+30=7x+10+2

Add the numbers 10+2=12:

4x+30=7x+12

Subtract 30 from both sides:

4x+30-30=7x+12-30

Simplify:

4x=7x-18

Subtract 7x from both sides:

4x-7x=7x-18-7x

Simplify:

-3x=-18

Divide both sides by -3:

$\frac{-3x}{-3} =\frac{-18}{-3}$

Simplify:

x=6

Hence, the correct answer is 6

4 0

2 years ago

Read the question and help me with that, please.

hram777 [196]

Answer:

B. -1

Step-by-step explanation:

examples:

1 and -1

1/2 and -2

5 0

3 years ago

Read 2 more answers