All categories

3 years ago

Write an algebraic expression for 84 more than the product of 167 and b

Mathematics

1 answer:

Ket [755]3 years ago

4 0

Answer:

167b + 84

Step-by-step explanation:

Multiplication is indicated between a number and a variable by writing them next to each other. A "product" is the result of multiplication, so "the product of 167 and b" is written 167b.

If you want a value that is 84 more than that, you get it by adding 84.

167b + 84

You might be interested in

What is the result of isolating x2 in the equation below?(x + 1)2 + ( -8)2 =9A. x2 = -y2 - 2x +16y - 56B. x2 = y2 +2x+16y +56C.

Anit [1.1K]

The expression we have is:

$(x+1)^2+(y-8)^2=9$

Step 1. Use the binomial square formula:

$(a+b)=a^2+2ab+b^2$

Applying this formula to the first binomial squared:

$x^2+2x+1+(y-8)^2=9$

Step 2. Apply the formula for the square of a binomial to the second binomial:

$x^2+2x+1+y^2+2(y)(-8)+(-8)^2^{}=9$

In this case, we have some operations to solve before we move on to isolating x. So we solve the operations:

$x^2+2x+1+y^2-16y+64^{}=9$

Step 3. Move the terms that are not x squared to the right side of the expression. Remember that when we move one term from one side of the equation to the other, the term must change its sign. We get the following:

$x^2=9-2x-1-y^2+16y-64$

Step 4. Combine like terms and arrange terms in order from the greatest exponent to the lowest and leave the independent term at the end:

$x^2=-y^2-2x+16y-56$

And that is the final result, which is option A.

Answer: Option A.

3 0

2 years ago

What is the answer?????

Alex17521 [72]

Answer:

Step-by-step explanation:

1/4

8 0

3 years ago

Read 2 more answers

Lacy opened a savings account and deposited $100. The account earns 6% interest compounded monthly if she wants to use the money

Dafna11 [192]

Answer:

Future Value= $112.72

Step-by-step explanation:

Giving the following information:

Initial deposit (PV)= $100

Number of periods (n)= 2*12= 24 months

Interest rate (i)= 0.06/12= 0.005

To calculate the future value (FV), we need to use the following formula:

FV= PV*(1 + i)^n

FV= 100*(1.005^24)

FV= $112.72

5 0

3 years ago

Find the inverse of the function. y=3x–5

PIT_PIT [208]

Step-by-step explanation:

it means that x has now to be the result variable, and y the input variable.

so,

y = 3x - 5

y + 5 = 3x

x = (y + 5)/3

and as a final touch, to make the inverse a "normal function", we rename x to y and y to x and get

y = (x + 5)/3

as the inverse function

8 0

2 years ago

What is the explicit rule for the sequence: 11, 22, 44, 88...

andriy [413]

Answer:

Geometric Progression is the explicit rule for the given sequence: 11, 22, 44, 88...

First term (a) = 11

Common ratio (r) = 22/11 = 44/22 = 88/44 = 2

Formula used in Geometric Progression is :---

$\boxed{a_n = a {r}^{(n - 1)}}✓\\$

where, 'n' is the required term

6 0

3 years ago