All categories

2 years ago

Simplify 2(3x+7)-4(7+x)

Mathematics

1 answer:

professor190 [17]2 years ago

7 0

Answer:

$\boxed{ \bold { \huge{ \boxed{ \sf{2x - 14}}}}}$

Step-by-step explanation:

$\sf{2(3x + 7) - 4(7 + x)}$

Distribute 2 through the parentheses

⇒ $\sf{6x + 14 - 4(7 + x)}$

Distribute 4 through the parentheses

⇒ $\sf{6x + 14 - 28 - 4x}$

Collect like terms

⇒ $\sf{6x - 4x + 14 - 28}$

⇒ $\sf{2x + 14 - 28}$

Calculate

⇒ $\sf{2x - 14}$

Hope I helped!

Best regards!!

You might be interested in

A rectangular prism has a base length of 6 units, base width of 5 units, and height of 4 units. The bases are shaded.

Angelina_Jolie [31]

Answer:

Part 1) The lateral area is $LA=88\ units^2$

Part 2) The area of the two bases together is $2B=60\ units^2$

Part 3) The surface area is $SA=148\ units^2$

Step-by-step explanation:

Part 1) Find the lateral area

we know that

The lateral area of a prism is given by

$LA=Ph$

where

P is the perimeter of the base

h is the height of the prism

$P=2(6+5)=22\ units$ ----> perimeter of rectangle

$h=4\ units$ ---> given

substitute

$LA=22(4)=88\ units^2$

Part 2) The area of the two bases together is?

The area of the rectangular base B is equal to

$B=(6)(5)=30\ units^2$

therefore

The area of the two bases together is

$2B=2(30)=60\ units^2$

Part 3) The total surface area is

we know that

The surface area is equal to

$SA=2B+LA$

substitute

$SA=60+88=148\ units^2$

4 0

3 years ago

Read 2 more answers

Which of the following statements are true about the graph of f(x) = 6(x + 1)2 -9?

Sphinxa [80]

Answer:

Step-by-step explanation:

a. The vertex is (1, -9). False. The vertex is (-1, -9).

b. The graph opens upward. True. That coefficient '6' is positive.

c. The graph is obtained by shifting the graph of f(x) = 6(x + 1)2 up 9 units. False. It's DOWN 9 units.

d. The graph is steeper than the graph of f(x) = x^2. True. The given function increases 6 times faster than does x^2.

e. The graph is the same as the graph of f(x) = 6x2 + 12x - 3.

Let's put f(x) = 6(x + 1)^2 -9 into standard form. Expanding the first term, we get f(x) = 6(x^2 + 2x + 1) - 9, or f(x) = 6x^2 + 12x + 6 - 9. YES, TRUE

3 0

2 years ago

Luis bought two pieces of wax to make candles. One piece weighed 3.49 kg, and the other weighed 4.71 kg. If wax costs $1.80 per

EleoNora [17]

(3.49+4.71)1.80=cost

(8.2)1.80=cost

14.76=cost

Luis spends $14.76 all together

8 0

3 years ago

Please help asap algebra 1

damaskus [11]

Answer:

Step-by-step explanation:

7+7+3= 17

8 0

3 years ago

Read 2 more answers

A man traveled a certain number of miles by automobile and then nine times as far by airplane. His total trip was 600 miles in l

Alex17521 [72]

The miles he traveled by plane is nine times greater than the miles traveled by automobile. If the total is 600 miles, then the total distance traveled by automobile would be 60 miles, making the total traveled by airplane 540 miles.

4 0

3 years ago