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Lorico [155]
3 years ago
7

Combining like terms with negative coefficients and distribution -2(2x+4)?

Mathematics
1 answer:
aleksklad [387]3 years ago
7 0

Answer:

-4x - 8

Step-by-step explanation:

Step 1: Write out expression

-2(2x + 4)

Step 2: Distribute -2

-4x - 8

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Kyra observed that 85% of the students at a library liked reading mystery stories. If 30 students at the library did not like re
UkoKoshka [18]
It is said that 85% of the students liked reading mystery stories. This means the remaining 15% don't like to read these stories. If there are 30 students belonging to the second category, then the number of students who liked reading mystery stories is (30/0.15)*0.85 equal to 170 students out of 200 students.
6 0
3 years ago
What is the equation of the line in the following graph? 1)y=x+2
Levart [38]

The slope-intercept form:

y=mx+b

m - slope

b - y-intercept

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

We have two points (2, 0) and (-2, -4). Substitute:

m=\dfrac{-4-0}{-2-2}=\dfrac{-4}{-4}=1

Therefore we have the equation of a line

y=1x+b\to y=x+b

Put the coordinates of the point (2, 0) to the equation:

0=2+b     <em>subtract 2 from both sides</em>

-2=b\to b=-2

Answer: \boxed{y=x-2}\to\boxed{3)}

8 0
3 years ago
In an arithmetic sequence, = 5 and = 11.
Free_Kalibri [48]

Answer:

1134.62 (THE SUM OF 20 TERMS)

Step-by-step explanation:

First we write out our given information:

a8=2a2

a11=18

an is an arithmetic sequence.

Where here an means the nth term of our sequence.

What does an arithmetic sequence mean? It means to get to the next term in your sequence you add a constant (c) each time:

an+1=an+c

Equivalently:

an+1−an(n+1)−n=c

So an is of slope c (c2 is another constant):

an=cn+c2

Where here c2=a0 (Substitute in n=0 and see why that has to be the case if we let a0 exist)

Now we use the other given information to try to come up with a solution.

Let n=2:

a2=2c+c2

Let n=8, using the above equation we have:

a8=8c+c2=2a2=4c+2c2

Let n=11

a11=18

a11=11c+c2

But a11−a8=(11c+c2)−(8c+c2)=3c

Hence, a11=3c+a8

a11=3c+4c+2c2=18

a11=3c+8c+c2=18

5 0
3 years ago
For f(x) = 4x2 + 13x + 10, find all values of a for which f(a) = 7.
sammy [17]

Answer:

0.84

Step-by-step explanation:

4x2+13a+10=7

13a=7-10-8

13a=-11

a=-11:13

a=0.84

4 0
3 years ago
Which expression is equivalent to 6 to the power of 4 x 6 to the 3rd power
scoray [572]

Answer:

6^4 * 6^3

Step-by-step explanation:

3 0
2 years ago
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