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3 years ago

Multiply these binomials using foil method (b+3)(b-9)

1 answer:

3 0

FOIL stands for first, outer, inner, and last.
So, you multiply the first terms together, the outer terms together, the inner terms together, and then the last terms together.
(b+3)(b-9)
b^2-9b+3b-27 Then simplify
b^2-6b-27

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A car rental agency charges $120 per week plus $.12 per mile driven. How many miles did you drive if the total charge is $162?

777dan777 [17]

$\boxed{y=120+0.12x}\\
\\
y=162\\
\\
120+0.12x=162\\
\\
0.12x=162-120\\
\\
0.12x=42\\
\\
x=\frac{42}{0.12}\\
\\
\boxed{\boxed{x=350 \ miles}}$

7 0

3 years ago

A rectangle with a perimeter of 19m^2+2m-10 and a width of m^2 write an expression for the lenght

expeople1 [14]

Answer:

$8.5m^{2}+ m -5$

Step-by-step explanation:

Since perimeter, $P=19m^{2}+ 2m -10$ and we know that P=2(l+w) then $P=2(l+m^{2})=2l+2m^{2}$

The length will be $2l=19m^{2}+ 2m -10-2m^{2}=17m^{2}+ 2m -10$

Now $l=8.5m^{2}+ m -5$

6 0

3 years ago

the populatipn of a school of fish increases at a rate of 18% a Month. There are currently 500 fish in the school.

ruslelena [56]

You first must find the 18% of the fish population.

You multiply 500 by .18 . You are supposed to get 90.

90 is the 18% fish increase.

Then you just add 500 + 90 and you will get 590 fish that are now in the school.

8 0

3 years ago

What is the slope of the line?

meriva

The slope of the line can be defined as y = mx + b, where m is the slope
To find the slope, one will need to use the expression Δy/Δx (y final - y initial)/(x final - x initial)
For this problem, that equals 1/3

Now we will use the point slope form
(y - y initial) = m (x - x initial):

y + 1 = 1/3 (x - 2)

y = 1/3x - 5/3

7 0

3 years ago

An economy pack of highlighters contains 12 yellow, 6 blue, 4 green, and 3 orange highlighters. An experiment consists of random

Serhud [2]

Answer:

The probability of choosing a blue or yellow highlighter when one yellow highlighter is picked is 17/25.

Step-by-step explanation:

Here, according to the question:

Total number of yellow highlighters = 12

Total number of blue highlighters = 6

Total number of green highlighters = 4

Total number of orange highlighters = 3

So, the total number of highlighters = 12 + 6 + 4 + 3 = 25

Let E1 : Event of selecting a yellow highlighter.

P(E1) = $\frac{\textrm{Total number of yellow highlighters}}{\textrm{Total Highlighters}}$ = $\frac{12}{25}$

Let E2 : Event of selecting blue or yellow highlighter ONCE yellow highlighter is selected.

So, the total yellow highlighters left after selecting one = 12 -1 = 11

Also, the number of blue highlighter = 6

So, the TOTAL FAVORABLE options to E2 = 6+ 11 = 17

P(E2) =

$\frac{\textrm{Total number of yellow + Blue highlighters}}{\textrm{Total Highlighters}}$ = $\frac{17}{25}$

Hence, the probability that a blue or yellow highlighter is selected given that a yellow highlighter is selected is 17/25.

7 0

3 years ago