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2 years ago

Factor the expression below

Mathematics

1 answer:

nadezda [96]2 years ago

8 0

Given:

The expression is

$2x^2+3x-9$

To find:

The factors of the given expression.

Solution:

We have,

$2x^2+3x-9$

Splitting the middle term, we get

$2x^2+(6-3)x-9$

$2x^2+6x-3x-9$

$2x(x+3)-3(x+3)$

$(x+3)(2x-3)$

Therefore, the factors of given expression are (x+3) and (2x-3).

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3 years ago

Billy was counting the number of wheels and bike seats at the playground. He saw tricycles and bicycles. He counted 79 wheels an

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System of equations
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3 years ago

Read 2 more answers

What is the slope of the line containing the ordered pairs (5,-3) and (-2,-3)

Anni [7]

Answer:

Step-by-step explanation:

Use the slope formula: m = $\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

m = $\frac{-3+3}{-2-5}=\frac{0}{-7} =0$

The slope of the line is 0.

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3 years ago

Write five ordered pairs in a table to represent a relation that is not a function.

QveST [7]

Answer:

Therefore, the relation of the given ordered pairs does NOT represent a function as that x-coordinate values are repeated.

Step-by-step explanation:

We know that a relation is basically a set of input and output values, which are expressed in ordered pairs.

A relation may have any set of ordered pairs.

We also know that a function is a set of ordered pairs in which each x-element has only one y-element associated with it.

Consider the five ordered pairs

x y

-2 1

3 -4

-2 -7

4 6

5 7

The relation is: {(–2, 1), (3, –4), (–2, –6), (4, 6), (5, 7)}

From the table, it is clear that x-coordinate values are repeated.

In other words, x = -2 twice.

Therefore, the relation of the given ordered pairs does NOT represent a function.

8 0

3 years ago

The figure shows the graphs of the cost and revenue functions for a company that manufactures and sells small radios. More than

Lyrx [107]

ANSWER

The company must produce and sell more than 700 radios to have a profit.

EXPLANATION

The revenue function is

$R(x)=40x$
and the cost function is

$C(x)=5,600+32x$

The company will break even when total revenue is equal to the total cost.

This implies that,

$40x =5,600+32x$

We group similar terms to get,

$40x - 32x = 5600$

This simplifies to,

$8x = 5600$

Divide both sides by 8 to get,

$x = \frac{5600}{8}$

$x = 700$

The company breaks even by producing and selling 700 radios.

The company must produce and sell more than 700 radios to have a profit.

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2 years ago