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3 years ago

11

Write an equation for a line g(x) perpendicular to f(x) = 4x − 5 and passing through the point (4, 20). plz.....

1 answer:

cluponka [151]3 years ago

4 0

The slopes of perpendicular lines are negative reciprocals.The slope of the given line is 4.The slope of the perpendicular is -1/4.
Now we need to find the equation of a line that has slope -1/4 and passes through the point (4, 20).
We use the point-slope form of the equation of a line, where m = slope, and the point is (x1, y1).
y - y1 = m(x - x1)
y - 20 = -1/4(x - 4)
-4y + 80 = x - 4
x + 4y = 84

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Robert collected 330 aluminum cans. If 100 aluminum cans weigh 4 pounds, and the recycling center is paying 25 cents a pound, ho

Phantasy [73]

Step-by-step explanation:

Cost per pound, c = 25cents

number of cans per pound, n = 100/4 = 25cans

total cans collected, t = 330cans

payment for total cans collected,p

where p = (t/n)×c = (330/25)×25 = 330cents

7 0

3 years ago

What number must be added to 36 to obtain −12

dezoksy [38]

The correct answer is -48

36 + x = -12
X = -12 - 36
x = -48

36 + (-48) = -12
36 - 48 = -12

3 0

3 years ago

Find the two numbers if the sum is 13 and the difference is 4

Sonja [21]

The answer is 17 and 9
Because 13-4=9 13+4=17

5 0

3 years ago

How many combinations of 7 candidates can fill 3 vacancies on a city council?

yKpoI14uk [10]

Answer:

35 combinations

Step-by-step explanation:

You have to use the formula for finding combinations in probability. It looks like this:

₇C₃ = $\frac{7!}{3!(7-3)!}$

so that gives you

₇C₃ = $\frac{7*6*5*4!}{3*2*1*4!}$

The 4 factorials cancel each other out, and when you do the math, you get 210/6. That divides evenly into 35. So there are 35 combinations.

8 0

3 years ago

You decide to put $5,000 in a savings account to save for a $6,000 downpayment on a new car. If the account has an interest rate

Nuetrik [128]

Answer:

Approx 2.61 years.

Step-by-step explanation:

Given that you decide to put $5,000 in a savings account to save for a $6,000 down payment on a new car.

That means A=6000 and P=5000

If the account has an interest rate of 7% per year and is compounded monthly,

Then r=7%= 0.07 and n=12 (monthly)

Now we need to find about how long does it take until you have $6,000 without depositing any additional funds.

So let's plug these values into compound interest formula and fine time t

$A=P\left(1+\frac{r}{n}\right)^{\left(nt\right)}$

$6000=5000\left(1+\frac{0.07}{12}\right)^{\left(12t\right)}$

$\frac{6000}{5000}=\left(1+0.00583333333333\right)^{\left(12t\right)}$

$1.2=\left(1.00583333333333\right)^{\left(12t\right)}$

$\ln\left(1.2\right)=12t\ ln[tex]\frac{\ln\left(1.2\right)}{12\ln\left(1.00583333333333\right)}=t$

\left(1.00583333333333\right)[/tex]

$2.61218303577=t$

Hence answer is approx 2.61 years.

5 0

3 years ago

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