All categories

3 years ago

Identify the vertex of the function h(x) = −2x2 + 10x + 1.

1 answer:

8 0

The answer is vertex is (5/2, 27/2).

Find x= -b/2a where a=-2, b=10 then plug x value back into function to solve for y value of vertex (x,y).

You might be interested in

Mrs Richards buys 8 quarts of milk in 4 days .How many gallons of milk does she buy?

vazorg [7]

Answer: 2 gallons

Step-by-step explanation:

1 gallon = 4 quarts

8 divided by 4= 2

5 0

3 years ago

Read 2 more answers

3. The average distance from the sun to the planet Jupiter is about 483,800.000. The average

MArishka [77]

Answer:

The answer to your question is:

a) sun to jupiter = 4.838 x 10 ⁸ miles

sun to earth = 9.296 x 10 ⁷ miles

b) 5.2 times

Step-by-step explanation:

distance sun to jupiter = 483 800 000 miles

distance sun to earth = 92 960 000 miles

sun to jupiter = 4.838 x 10 ⁸ miles just move the decimal point eight places to the left.

sun to earth = 9.296 x 10 ⁷ miles just move the decimal point seven places to the left.

divide distance sun to jupiter by distance sun to earth =

= 4.838 x 10 ⁸ / 9.296 x 10 ⁷

First divide 4.838 by 9.296 or 4.838 / 9.296 = 0.52

Then we substract the powers: 8 minus 7 or 8 -7 = 1

So we get 0.52 x 10¹ or 0.52 x 10 = 5.2 times

5 0

3 years ago

Write two polynomials with a difference of 2x2 + x + 3

Anettt [7]

Answer:

The two polynomial CAN be $5x^4+5x^3+8x^2+x+6$ and $5x^4+5x^3+8x^2+2x+13$ .

Step-by-step explanation:

Step 1: Simplify the expression:

$2*2 + x + 3$

$4+x+3$

$x+7$

Step 2: Think of a random polynomial:

$5x^4+5x^3+8x^2+x+6$

Step 3: Either add your "random polynomial" by $x+7$ or subtract it.

I want to add it so...

$5x^4+5x^3+8x^2+x+6+x+7$

= $5x^4+5x^3+8x^2+2x+13$

Check by subtracting $5x^4+5x^3+8x^2+x+6$ and $5x^4+5x^3+8x^2+2x+13$ .

$5x^4+5x^3+8x^2+2x+13$

- $5x^4+5x^3+8x^2+x+6$

_____________________

$0x^4 - 0x^3 -0x^2 +x +7$ or  $x+7$ 

5 0

3 years ago

Use signed numbers to solve. A helicopter descended 1200 feet, rose 800 feet, and then descended 450 feet. What was the net gain

sergey [27]

The rise or an increase in altitude is represented by positive sign and a decend or decrease in altitude is represented by negative sign.

First the helicopter descended 1200 feet. So the change in altitude will be -1200 feet.

Then the helicopter rose by 800 feet. So the change in altitude will be 800 feet.

Finally the helicopter descended by 450 feet. So the change in altitude will be -450 feet.

The net change in altitude will be the sum of all the above 3 changes.
Change in altitude = -1200 + 800 - 450 = -850 feet

The negative sign indicates a descend i.e. loss in altitude. So the net change in altitude was a loss of 850 feet.

3 0

3 years ago

Ryan is trying a low-carbohydrate diet. He would like to keep the amount of carbs consumed in grams between the levels shown in

pentagon [3]

Compound inequality combines multiple single inequalities.

The solution and interpretation of the inequality is:

$x > 50$ and $x < 150$ . Ryan needs to consume more than 50 grams of carbohydrates, but less than 150 grams of carbohydrates.