Tell how to undo each operation and explain why it works. Adding 28. Dividing by 17

Answers

Answer 1

Answer: Addition: Use subtraction, because the inverse of adding is subtracting. Same goes for subtracting. Add.

Multiplying: Opposite to divideing

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Help please
$(2p + 1)/(5p + 6 ) = (1)/(7)$
Please and thanks

Answers

Answer:

$p=-(1)/(9)$

Step-by-step explanation:

$(2p+1)/(5p+6)=(1)/(7)$

Use cross products,

$7(2p+1)=1(5p+6)$

Distribute,

$14p + 7 = 5p + 6$

Inverse operations,

$14p+7=5p+6\n-5p\n\n9p + 7 = 6\n-7\n\n9p = -1\n/9\n\np = -(1)/(9)$

What is the surface area of a cube that measures 5 inches on each side?25 in 2
50 in 2
75 in 2
150 in 2

Answers

Surface area of a cube=6 x side²

Data:
Side=5 in.

Surface area of a cube=6(5 in)²=6(25 in²)=150 in².

Answer: 150 in².

2. In a certain year, solar and wind energy generation totaled 1037 Trillion Btu’s. Wind generated 56 Trillion Btu's more than eight times that generated by solar energy. How much was generated by each source?

Answers

The sum of solar energy can assumed as 'x', so it is easy to conclude that the sum of wind energy is '8x+56'. From the above assumption, we can easily get that 'x+8x+56=1037', to solve this equation and get tha

Which equation in slope-intercept form represents a line that is parallel to y=1/2x-2 and passes through the point (-8,1)?

Answers

Answer:

$\displaystyle y=(1)/(2)x+5$

Step-by-step explanation:

We want to find the slope in slope-intercept form of a line that is parallel to:

$\displaystyle y=(1)/(2)x-2$

And passes through the point (-8, 1).

Recall that parallel lines have equivalent slopes.

Since the slope of our given line is 1/2, the slope of our new line must also be 1/2.

We are also given that it passes through the point (-8, 1). Since we are given a slope and a point, we can use the point-slope form:

$y-y_1=m(x-x_1)$

Substitute 1/2 for m and (-8, 1) for (x₁, y₁). Hence:

$\displaystyle y-(1)=(1)/(2)(x-(-8))$

Since we want the equation in slope-intercept form, we can isolate y. Distribute:

$\displaystyle y-1=(1)/(2)x+4$

Therefore, our equation is:

$\displaystyle y=(1)/(2)x+5$

Is my answer correct ? I put 61% as my answer . Please don't answer if you don't know . And explain please :)

Answers

your answer is correct! 11/18 of the shirts are black, which translates to 61% of them. :)

Your answer is correct because out of 18 total T-shirts, 11 of them are medium size...So 11/18 shirts are medium, perform the division 11/18 and you will get 0.61. This translates to 61.11%.

f(x) = x³ - 3x² + 3x - 1f(x + 1) What is the value?

A) x³+1
B) x³-1
C) x³
D) x²
E) x²+1

Answers

$f(x+1)=(x+1)^3-3(x+1)^2+3(x+1)-1\n f(x+1)=x^3+3x^2+3x+1-3(x^2+2x+1)+3x+3-1\n f(x+1)=x^3+3x^2+6x+3-3x^2-6x-3\n f(x+1)=x^3 \Rightarrow C$

f(x)=(x-1)³ = x³ -3x² +3x -1
f(x+1) = (x+1-1)³ = x³

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