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3 years ago

2. If f(x) = x - 7 and g(x) = 2x + 5, then what is f(x) * g(x)?

Mathematics

1 answer:

AysviL [449]3 years ago

7 0

Answer:

2x² - 9x - 35

Step-by-step explanation:

f(x) × g(x) = (x - 7)(2x + 5)

Each term in the second factor is multiplied by each term in the first factor, that is

x(2x + 5) - 7(2x + 5) ← distribute both parenthesis

= 2x² + 5x - 14x - 35 ← collect like terms

= 2x² - 9x - 35

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Solve each compound inequality<br> -3 < x -1 < 4

liubo4ka [24]

X - 1 > -3 add 1 to both sides:-

so x > -2

and

x - 1 < 4

so x < 5

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3 years ago

Read 2 more answers

Jim is a radio ad salesperson. He is paid 17 percent for every ad he sells. He sold an ad today for $2,000.00. What is his commi

stiks02 [169]

Answer:

$340

Step-by-step explanation:

Given:

Jim is paid 17% for every ad he sells.

He sold an ad today for $2000

Now we have to find the commission.

The commission rate is 17%

If he sells $100, then he gets $17 as commission.

To find the commission on sale ad of $2000, we have to multiply 2000 by 17%

17% of 2000

= $\frac{17}{100} *2000$

We can simplify 2000 by 100, we get

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He gets $340 as commission for the ad sale of $2000.

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3 years ago

Are the triangles similar? If so state the similarity and the postulate or theorem that justifies your answer.

tester [92]

Answer:

Step-by-step explanation:

∆ABC is similar to ∆DEF if and only if the ratio of their corresponding side lengths are the same.

Let's find out:

DE/AB = 10/5 = 2

EF/BC = 8/4 = 2

FD/CA = 12/6 = 2

The ratio of their corresponding side lengths are equal, therefore, ∆ABC is similar to ∆DEF based on the SSS Similarity Theorem.

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2 years ago

Two friends, Neil and Charlie, are going to depart from their houses and ride their bikes towards each other until they meet, an

n200080 [17]

Answer:

0.3 hour or 18 minutes

Step-by-step explanation:

How long means, we are to calculate the time(t)

Hence,

Speed × time = Distance

For Neil , 11 × t

For Charlie = 9 × t

11t + 9t = 6

20t = 6

t = 6/20

t = 0.3 hour

Converting to minutes

1 hour = 60 minutes

0.3 hour = x

x = 0.3 × 60 minutes

x = 18 minutes

Therefore, it will take 0.3 hour or 18 minutes for these two to meet.

6 0

3 years ago

Write the equation of a line perpendicular to y=3x+1and goes through the point ( 6,2) y=−13x+4 y=−13x−4 y=3x+4 y=3x−4

Korolek [52]

Answer:

$y=-\frac{1}{3}x+4$

Step-by-step explanation:

step 1

Find the slope of the perpendicular line

we know that

If two lines are perpendicular, then their slopes are opposite reciprocal

(the product of their slopes is equal to -1)

In this problem

we have

$y=3x+1$

The equation of the given line is $m=3$

the slope of the perpendicular line to the given line is

$m=-\frac{1}{3}$

step 2

Find the equation of the line in point slope form

$y-y1=m(x-x1)$

we have

$m=-\frac{1}{3}$

$(x1,y1)=(6,2)$

substitute

$y-2=-\frac{1}{3}(x-6)$

Convert to slope intercept form

$y=mx+b$

Distribute right side

$y-2=-\frac{1}{3}x+2$

$y=-\frac{1}{3}x+2+2$

$y=-\frac{1}{3}x+4$

6 0

3 years ago