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tresset_1 [31]
3 years ago
6

(02.01 LC)

Mathematics
1 answer:
WITCHER [35]3 years ago
5 0

Answer:

NO.

Step-by-step explanation:

The x-value -1 repeats.

:)

:)

:)

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A company produces and sells widgets and gizmos. In January the company sold 350 items for a total of $9,000. If each widget sol
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Answer:

The company sold 100 widgets and 250 gizmos.

Step-by-step explanation:

Let x_1 be the number of widgets sold and x_2 be the number of gizmos sold.

We are told that the company sold 350 items. We can represent this information in an equation as:

x_1+x_2=350...(1)

We have been given that a each widget sold for $35 and each gizmo sold for $22. The company sold 350 items for a total of $9,000.

We can represent this information in an equation as:

35x_1+22x_2=9,000...(2)

From equation (1), we will get:

x_2=350-x_1

Substitute this value in equation (2):

35x_1+22(350-x_1)=9,000

35x_1+7,700-22x_1=9,000

13x_1+7,700=9,000

13x_1+7,700-7,700=9,000-7,700

13x_1=1,300

\frac{13x_1}{13}=\frac{1,300}{13}

x_1=100

Therefore, the company sold 100 widgets.

Substitute x_1=100 in equation (1):

100+x_2=350

100-100+x_2=350-100

x_2=250

Therefore, the company sold 250 gizmos.

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3. Factor the following trinomial. x^2 - 15x + 56.
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Answer:

(x-7) (x-8)

Step-by-step explanation:

Break the expression into groups:

= x(x-7) -8(x-7)

Factor out x from:

x^2-7x     x(x-7)

Factor out -8 from -8x+56:

-8(x-7)

=x\left(x-7\right)-8\left(x-7\right)

8 0
2 years ago
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