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Natalka [10]
3 years ago
5

Simplify the expression completely. 7b+3(4b−2)+6÷3

Mathematics
2 answers:
alisha [4.7K]3 years ago
8 0

Answer:

19b - 4

Step-by-step explanation:

<u>Distribute the 3 to (4b - 2), like so:</u>

3(4b - 2)

12b - 6

→ 7b + 12b - 6 +6 ÷ 3

<u>Add like terms:</u>

→19b - 6 + 6 ÷ 3

<u>Following PEMDAS, you divide 6 by 3 first:</u>

→19b - 6 + 2

<u>Add like terms:</u>

→19b - 4

Karo-lina-s [1.5K]3 years ago
4 0

Answer:

19b-4

Step-by-step explanation:

7b+3(4b-2)+6÷3

Bracket comes first so we distribute 3 over the terms in the bracket

= 7b + 12b -6 +6 ÷ 3

First we solve division

= 7b + 12b -6 +6 ÷ 3

= 7b + 12b -6 +2

= (7b+12b)+(-6+2)

= 19b -4

This can't be simplified further as it can't be solved anymore

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Which translation for: y = (x+3)^2+4<br><br> If you can't see the picture zoom in.
Savatey [412]

Answer:

The answer is B.

Step-by-step explanation:

The original graph of y = x^2 has a vertex at (0,0)

The formula for graph translations is y = (x-#)^2+#

The number inside the parentheses is a horizontal translation.

So, we are given y = (x-(-3))^2+#

The vertex of the graph moves 3 points left, since the number is negative (-3).

The number at the end of the equation is a vertical translation.

So, we are given y = (x+3)^2+4

The vertex of the graph moves 4 points up, since the number is positive (4).

The new vertex is at (-3,4)

5 0
3 years ago
What is the slope of line LM given L(9, -2) and M(3, -5)?
jasenka [17]

Answer:

1/2

Step-by-step explanation:

(y2-y1)/(x2-x1) is the equation for finding slope with two given points

-5-(-2) over 3-9 equals

-3/-6=-1/-2=1/2

7 0
3 years ago
Write the equation of a line that passes through the points (-2, 3) and (-4, 4) in slope intercept form (y=mx+b).
Yuri [45]

Step-by-step explanation:

first step is to find the gradient of the line which "m" on the equation

gradient formula is y2 - y1 ÷ x2 - x1 = -½ as shown on the picture we substituted those points given

2nd step is to substitute on the equation y=mx+c

m= -½

y= 3 (you can choose any from those given points but in my case I chose point A)

x= -2

c= ? only unknown variable so we can can calculate it

substitute as shown on the picture to get c= 2

therefore our equation of the line will be y= -½x+2

4 0
3 years ago
one more than six times that number is 25. select the solution and graph that represents the original number
Brums [2.3K]

6n+1 = 25

subtract 1 from each side

6n+1-1 = 25-1

6n = 24

divide each side by 6

6n/6 = 24/6

n =4


6 0
2 years ago
I need to find y and put it on a graph
kotykmax [81]
Multiply the x by 4, then add 3. ( 4×\frac{1}{2}+3= 5 ). Keep doing that for the rest. Hope this helped a little. If you have any questions, you can message me if you would like.
6 0
3 years ago
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