Multiply.
(3b-5) (7b+1)
Simplify your answer.

It would be 21b² -32b -5

By using the FOIL method, you can simplify the equation.

The Foil Method is ac + ad + bc +bd, or First, Outer, Inner, Last.

First, you multiply the first term in each bracket.

3b * 7b = 21b²

Next, you multiply the outer term in each bracket.

3b * 1 = 3b

Then, you multiply the inner term in each bracket.

-5 * 7b = -35b

After that, you multiply the last term in each bracket.

-5 * 1 = -5

Lastly, you combine like terms.

21b² + 3b -35b -5 ---> 21b² -32b -5

21b² -32b -5 would be your answer, since you cannot simplify the equation anymore.

a, b, c, d are correct.

step-by-step explanation:

we have g(x) = 3 and are required to find which option is a translation of g(x).

now, 'translation' is a transformation which means to shift the function in any direction and the general form of translation is g(x) + k, where k is any real number.

so, according to the options we see that all are correct as they satisfy the general form of translation.

also, it can be seen from the graph below that the function g(x) = 3 is shifted from its position in all the four options.

step by step resolutions

1) n+n+1+n+2=51

3n+3=51

3n=48

n=16

the three numbers are 16, 17 and 18.

2) x+15=4x

3x=15

x=5

radha is now 5 years old

3) the two digits are x and y.

y=3x

(10x+y)+(10y+x)=88

y=3x

11x+11y=88

y=3x

x+y=8

x+3x=8

x=2

the original number can be either 28 or 82.

4) n+(n+2)+(n+4)=48

3n+6=48

3n=42

n=14

the numbers are 14, 16 and 18.

5) y=x+3

10y+x+10x+y=143

y=x+3

11x+11y=143

y=x+3

x+y=13

x+x+3=13

2x=10

x=5

the original number can be 57 or 75.

hope this !