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3 years ago

Simplify 2(x-4)+7(x+2).

Mathematics

2 answers:

Shkiper50 [21]3 years ago

5 0

Answer:

3(3x+2)

Step-by-step explanation:

Isolate the different parts of the expression and simplify them individually.

2(x-4) and 7(x+2)

Distribute the 2 and 7 into each of the parentheses.

(2*x)-(2*4) and (7*x)+(7*2)

then simplify

2x-8 and 7x+14

Next, we add the like terms together, using the commutative property.

$2x-8 + 7x+14 = 2x+7x +14-8 = 9x +6$

We then factor the expression

$\frac{9x}{3} +\frac{6}{3} = 3(3x +2)$

to get the simplified form.

Norma-Jean [14]3 years ago

3 0

Answer: 9x+6

Refer to the image for details.

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3 years ago

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3 years ago

Read 2 more answers

juanita makes leather lanyards to sell she charges a base fee and a cost per inch of the finished lanyard. the line shows the co

nordsb [41]

Complete Question:

Juanita makes leather lanyards to sell. She

charges a base fee and a cost per inch of

the finished lanyard. The line shows the

cost y for x inches of lanyard. Write an

equation for the line in slope-intercept

form.

*See attachement for the graph given

Answer:

y = ½x + 5

Step-by-step explanation:

Equation in slope-intercept takes the following form, y = mx + b

m = slope = change in y/change in x

b = y-intercept

Let's find m and b using the graph given

✔️Slope of the line using two points form the graph, say (0, 5) and (2, 6):

Slope (m) = ∆y/∆x = (6 - 5)/(2 - 0) = 1/2

Slope (m) = ½

✔️ y-intercept (b) is the y-coordinate of the point where the line intercepts the y-axis = 5. When y = 5, x = 0. Therefore,

b = 5

✔️To write the equation of the line, substitute m = ½ and b = 5 into y = mx + b:

y = ½x + 5

3 0

3 years ago