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Katena32 [7]
3 years ago
8

Which expression is equivalent to 5(x + 3)? A. 5+x+3 B. 5x + 3x C. 5x + 3 D. 5x + 15

Mathematics
2 answers:
Debora [2.8K]3 years ago
7 0

Answer:

D

Step-by-step explanation:

5 x 3 = 15

5(+3)

5x+15

Tju [1.3M]3 years ago
7 0
The answer is D. When you distribute you get 5x + 15
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The line through (-1/2, -7/2) and (2, 14) in slope intercept form??
icang [17]
To find the equation of a line in slope-intercept form given two points, we must arrange the points this way to find the slope (m):

m =  \frac{y_{2}-y _{1}}{x_{2}-x_{1}}

We can replace the variables in this equation with the values from the points we have been given, (\frac{-1}{2},  \frac{-7}{2}) and (2, 14). We know that the x-values always come first in an ordered pair, so we can put those in our equation first.
It doesn't really matter which x-value goes in which x-value slot in the equation as long as you match up the y-values in the same fashion. But for the sake of convenience, we will call the 2 in the second ordered pair x_{2} and the \frac{-1}{2} in the first ordered pair x_{1}.
Now, we can match these values in our equation, and while we're at it, we can substitute the appropriate y-values into their places as well.

m =  \frac{y_{2}-y _{1}}{x_{2}-x_{1}}

m =  \frac{14 -  \frac{-7}{2} }{2 -  \frac{-1}{2} }

Now, we can see that we are subtracting negatives in this equation. Remember that whenever you subtract a negative, it is the same as adding a positive. So, this equation could be rewritten as

m =  \frac{14 +  \frac{7}{2} }{2 +  \frac{1}{2} }

and we can change the improper fraction in the numerator into a mixed number for ease of addition.

m =  \frac{14 + 3 \frac{1}{2} }{2+ \frac{1}{2} }

And here, we can add, since it's made simple for us.

m =  \frac{17  \frac{1}{2} }{2  \frac{1}{2} }

Finally, to get the slope we can complete the fraction by dividing.

17.5 ÷ 2.5 = 7

The slope of this equation, m, is 7, and so far, our equation looks like this:

y = 7m + b

Now, to find y-intercept.

To do this, we simply have to substitute one of the ordered pairs in for the appropriate x- and y-values and solve. To make it easier on ourselves, we can use (2, 14) so we don't have to deal with negative numbers or fractions.

y = 7x + b

Let us substitute in our values.

14=7(2)+b

Now, we can solve by multiplying the 7 and 2.

14=14+b

Here, we can subtract 14 from both sides, since it is added to both in the equation, and we are left with

0 = b

which can be flipped around to show

b=0

The y-intercept of this line is 0.

Now, we can make this known in our equation like this:

y=7x+0

Or, for neatness' sake, we can just say

y=7x

which is your final equation.

The line through (\frac{-1}{2},  \frac{-7}{2}) and (2, 14) in slope-intercept form is <span>y=7x.
Hope that helped! =) </span>


7 0
3 years ago
Describe in a complete sentence the solution set for 3x + 3 = 3+ 3x.
sineoko [7]

Answer:

<em>It has infinitely as many solutions</em>

Step-by-step explanation:

Equations and Identities

When dealing with equations, we must find values of the variable who mak the expression become an identity.

The expression is an identity regardless on what the value of x is, so we can say the equation has infinite as many solutions. For example x=0 will make the expression look like 3=3 which is an identity. If x=8, we'll obtain 27=27 and so on

5 0
3 years ago
The highest location in a certain country is 14,864 feet above sea level. The lowest point in the same country is 141 feet below
Radda [10]
15005, just add the two together
5 0
3 years ago
Pls help ill mark brainliest!:) thank you&lt;3
murzikaleks [220]

Answer:

(-26, 32)

Step-by-step explanation:

6 0
3 years ago
Question 5. How do I find the answer? I am lost
Svetach [21]
Easy, its b because that is the average deviation

6 0
3 years ago
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