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2 years ago

Find the roots of f(x)=x^2+10x−96

Mathematics

1 answer:

a_sh-v [17]2 years ago

6 0

Answer:

x = -16 or x = 6

Step-by-step explanation:

To find the roots of a polynomial function, set the polynomial equal to zero and solve for x.

x² + 10x - 96 = 0

We need to factor the left side. The left side is a quadratic polynomial whose first coefficient is 1. We need two numbers whose product is -96 and whose sum is 10. The numbers are 16 and -6.

(x + 16)(x - 6) = 0

If a product of two factors equals zero, then one factor or the other or both must equal zero.

x + 16 = 0 or x - 6 = 0

x = -16 or x = 6

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The gym teacher has $250 to spend on volleyball equipment. She buys 4 volleyball nets for $28 each. Volleyballs cost $7 each. Ho

pav-90 [236]

Answer:

The maximum number of volleyballs that she can buy is 19

Step-by-step explanation:

Let

x ----> the number of volleyballs

we know that

The cost of each volleyball net ($28) by the number of volleyball nets (4) plus the cost of each volleyball ($7) multiplied by the number of volleyballs (x) must be less than or equal to $250

The inequality that represent this situation is

$28(4)+7x\leq 250$

Solve for x

$112+7x\leq 250$

subtract 112 both sides

$7x\leq 250-112$

$7x\leq 138$

Divide by 7 both sides

$x\leq 19.7$

therefore

The maximum number of volleyballs that she can buy is 19

4 0

3 years ago

HELP ASAPP 30 points!!!!!<br> Which number is rational?

Anna35 [415]

Answer:

Step-by-step explanation:

because its a whole number as in the square root is 4

6 0

2 years ago

Writer and solve a real-word promblem involving the multiplication of a fraction and a whole number whose is between 10and15

pickupchik [31]

Give me an operation like the one you are talki ng about and I can solve it

8 0

2 years ago

Here is the histogram of a data distribution. All class widths are 1.

vaieri [72.5K]

The answer is 7 because the mean is an average. So if you add up all the numbers and then divide that number by the amount of numbers listed then that will get you your answer which is 7

4+5+6+7+8+9+10=49
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4 0

2 years ago

A circle is divided into three arcs of measures x 2x and 3x what’s the value of x

lidiya [134]

Answer:

60°

Step-by-step explanation:

This questions tests our knowledge on arcs and arc measures.

-Arc measure is the angle that an arc makes with the circle's center.

-The arc measure is proportional to the arc.

#The sum of the 3 arcs is x+2x+3x=6x

Given a circle has 360°, the arc measurement x can be calculated as:

$[x+2x+3x]=360\textdegree\\\\6x=360\textdegree\\\\x=60\textdegree$

Hence, the arc measurement x is 60°

8 0

2 years ago