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2 years ago

Which quadratic equation fits the data in the table?

Mathematics

1 answer:

marissa [1.9K]2 years ago

4 0

Answer:

y = 3 - x + x²

Step-by-step explanation:

Given the data:

x. y

-5 33

-2 9

-1 5

0 3

3 9

4 15

6 33

General formof a quadratic model:

y = A + Bx + Cx²

Using the quadratic regression model solver for the data Given:

The quadratic model fit obtained is :

y = 3 - x + x²

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Theresa has $12 in nickels and quarters. If she has the same number of each kind of coin, how many nickels and quarters does she

postnew [5]

Answer: She has 40 nickels and 40 quarters .

Step-by-step explanation:

Let be "n" the number of nickels Theresa has and "q" the number of quarters Theresa has.

You know that she has a total of $12 in nickels and quarters. In cents, this is:

$\$12*100=1,200\ cents$

Then, based on this you can write the following expression:

$5n+25q=1,200$

Since $n=q$ , you can rewrite it as:

$5n+25n=1,200$

Solving for "n", you get:

$30n=1,200\\\\n=\frac{1,200}{30}\\\\n=40$

Therefore she has 40 nickels and 40 quarters .

7 0

3 years ago

Find the surface area of the prism.

Harman [31]

Answer:

288 m

Step-by-step explanation:

All you do is length times width times height.

Do 6 times 16 times 3 to get your answer of 288 m

3 0

3 years ago

a phone company offers two monthly charge, in Plan a, the customer pays a monthly fee of $40.10 and then an additional 4 cents p

Charra [1.4K]

Answer:

x > 1.7 minutes

The monthly telephone usage amounts so that plan A is not greater than plan B are all greater than 1.7 minutes.

Step-by-step explanation:

The two plans must be defined by the equation of the line y = mx + b, where

y = plan

m = slope or payment of additional cents per minute

x = time expressed in minutes

For Plan A, we have

y = 4x + 40.10 (Equation A)

While plan B is defined as

y = 7x + 35 (Equation B)

Plan A must be less than Plan B,

4x + 40.10 < 7x + 35

We put the “x” on the left side and the independent terms on the right side,

4x - 7x < 35 - 40.10

We add algebraically,

-3x < -5.10

We multiply the equation by -1 to eliminate the two “minus” signs, changing the inequality sign,

3x > 5.10

We isolate x,

x > 5.10 / 3

We solve, calculating the value of x,

x > 1.7 minutes

The monthly telephone usage amounts so that plan A is not greater than plan B are all greater than 1.7 minutes.

7 0

3 years ago

Find value of x 4(x+6)° (5x+11)°

Evgesh-ka [11]

Value of x = 13°

Hope it helps you...

5 0

2 years ago

Question 9 Multiple Choice Worth 1 points)

beks73 [17]

Answer: $\bold{10 = \sqrt {\left( {x- 8 } \right)^2 + \left( {y - 9 } \right)^2 }}$

Step-by-step explanation:

<u>Given:</u>

The coordinates of Point A: (8, 9)

The coordinates of Point B are unknown: (x, y)

The distance from A to B is 10 units

Then, using the distance formula:

$AB = \sqrt {\left( {x- 8 } \right)^2 + \left( {y - 9 } \right)^2 }$

Therefore,

$10 = \sqrt {\left( {x- 8 } \right)^2 + \left( {y - 9 } \right)^2 }$

8 0

1 year ago