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3 years ago

Rewrite the expression using distributive property : 30x + 6

Mathematics

1 answer:

Anit [1.1K]3 years ago

6 0

Answer:

This cannot be done, but it can be factored as: 6(5x + 1)

Step-by-step explanation:

This expression cannot be distributed any further.

The distributive property is used when multiplying polynomials (multiplying one or more terms by two or more terms). In which case, each term in multiplied by each of the terms in the bracket, for example: .

5(x + 2) = 5x + 10

We can factor this expression however to go the opposite direction:

30x + 6

Since 30 and 6 are both divisible by 6, we can factor it out of each term.

Divide 30x by 6 and divide 6 by 6.

6(5x + 1)

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Question 2

prisoha [69]

Answer:

Please check the explanation.

Step-by-step explanation:

Calculating the area of the outer rectangle:

Given

The length outer rectangle = l = 3x - 1

The width of outer rectangle = w = 5x + 2

Thus,

The area of the outer rectangle:

$A = wl$

$= (5x + 2) (3x - 1)$

$=5x\cdot \:3x+5x\left(-1\right)+2\cdot \:3x+2\left(-1\right)$

$=5\cdot \:3xx-5\cdot \:1\cdot \:x+2\cdot \:3x-2\cdot \:1$

$=15x^2+x-2$

Calculating the area of the inner rectangle:

Given

The length inner rectangle = l = x + 7

The width of inner rectangle = w = x

Thus,

The area of the outer rectangle:

A = wl

= x(x+7)

= x² + 7

Calculating the area of the shaded region:

The area of the outer rectangle = 15x² + x - 2

The area of the inner rectangle = x² + 7

The area of the shaded region can be determined by subtracting the area of the inner rectangle from the area of the outer rectangle.

Thus,

shaded region Area = Outer Rectangle Area - Inner Rectangle Area

= 15x² + x - 2 - (x² + 7)

= 15x² + x - 2 - x² - 7

= 14x² + x - 9

Therefore, the Area of the shaded region is: 14x² + x - 9

4 0

2 years ago

Convert -18° to radians.

Fiesta28 [93]

0.314159

Is the answer

5 0

3 years ago

F(x) = x + 4 G(x) = x^2 + 4 Find (fog) (3)

Anika [276]

Answer: 17

Steps:

1. Plug in (3) into “x” of the g(x) equation:
g(3) = (3)^2 + 4
g(3) = 9 +4
g(3) = 13

2. Plug in g(3) value into “x” of the f(x) equation:
f(g(3)) = x + 4
f(g(3)) = 13 + 4
f(g(3)) = 17

5 0

3 years ago

Kendra used these steps to solve the equation 2x + 5 = 3 + 2(x + 1). Which choice describes the meaning of her result, 5 = 5?

alekssr [168]

The answer is A.
If a redundant conclusion is reached in basic algebra this states that the variable holds all possible real values.
If you algebraically solve Kendra's you do achieve the true statement 5 = 5 (leaving out D). And if you test any value of x for the equation it does hold true (getting rid of B).
Hopefully this makes sense.

6 0

3 years ago

Read 2 more answers

Find the slope of the line tangent to the

g100num [7]

Ln(xy) - 2x =0

slope of the tangent line = derivative of the function

[ln(xy)]' = [2x]'

[1/(xy)] [y + xy'] = 2

y + xy' = 2(xy)

xy' = 2xy - y =y(2x-1)

y' = y(2x-1)/x

Now use x = -1 to find y and after to find y'

ln(xy) = 2x
x=-1
ln(-y) =-2

-y = e^-2

y = - e^-2

y' = [-e^-2][2(-1)-1]/(-1) = [e^-2](-2-1)= [e^-2](-3) = - 3e^-2

Answer: option 6. from the list

8 0

3 years ago