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3 years ago

The line passes through the points (-5,0) and (-1,-4) The slope of the line is

Mathematics

1 answer:

kotykmax [81]3 years ago

8 0

Answer:

-1.

Step-by-step explanation:

First, you find the distance from the first x coordinate to the second. This is done by doing -5 - -1 (aka -5 + 1), which equals -4. Then, you find the distance form the first y coordinate to the second. THis is done by doing 0 - -4 (aka 0 + 4), which equals 4. Then, you divide the distance of the y's over the distance of the x's, which gets you the slope, which is -1. Hope this helped!

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Sam paid $8.28 for 18 stamps.at this rate,how much would it cost Sam to buy 12 stamps

allsm [11]

Answer: It costs $5.52 to Sam to buy 12 stamps.

Step-by-step explanation:

Given: Sam paid $8.28 for 18 stamps.

Thus, the cost of 18 stamps = $8.28

Then the cost of 1 stamp= $\frac{8.28}{18}$

Thus, the cost of 1 stamp=$0.46

With the same rate , the cost of 12 stamps= $0.46\times12$

Therefore, the cost of 12 stamps= $5.52

hence, it costs $5.52 to Sam to buy 12 stamps.

3 0

3 years ago

Read 2 more answers

If f(x)=5x+1 and g(x)=2f(x)+5 then g(-1)=

ollegr [7]

We know f(x)=5x+1. Plug in f(x) in the g(x) function.
We get $g(x)=2(5x+1)+5$ Distribute the 2 to 5x and 1.
$g(x)=10x+2+5$
Simplify to get $g(x)=10x+7$
Now, we plug in -1 for x.
$g(-1)=10(-1)+7$
$g(-1)=-10+7$
$g(-1)=-3$

4 0

3 years ago

Given the functions f(x) = x² – 8 and g(x) = 4-x, determine the equation for the combined function

ElenaW [278]

Answer:

$y=x^2+x-12$

Step-by-step explanation:

f(x) = x² – 8 and g(x) = 4-x

y=f(x) - g(x)

y=(x² – 8) - (4-x)

$y=x^2-8-4+x\\y=x^2+x-12$

6 0

3 years ago

Limit as x approaches 0 of csc3x/cotx

jolli1 [7]

Hello Meggieh821, to find the lim as x approaches 0 we can check this by inserting a number that is close to 0 that is coming from the left and from the right.

For instance, we can find the lim by using the number -.00001 for x and solve
<span>csc(3x) / cot(x)
</span>csc(3*-.00001) / cot(-.00001) = .333333... = 1 /3

We also need to check coming from the right. We will use the number .00001 for x
csc(3x) / cot(x)
csc(3*.00001) / cot(.00001) = .333333... = 1 /3

So since we are getting 1/3 from the left and right we can say as x approaches 0 the limit is 1/3

<span> $\lim_{x\to 0} \frac{csc(3x)}{cot(x)} = \frac{1}{3}$ </span>

6 0

3 years ago

I can write numerical expressions involving whole-number exponents

DerKrebs [107]

Answer:

yes

Step-by-step explanation:

nothing much u have to do like what ur teacher said

7 0

3 years ago