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Genrish500 [490]
3 years ago
11

When Joseph first starts working at a grocery store, his hourly rate is $10. For each year he works at the grocery store, his ho

urly rate increases by $0.50. Joseph's hourly rate R, in dollars is a function of T, the number of years he works at the grocery store.
Mathematics
1 answer:
stiks02 [169]3 years ago
4 0

Answer: R(t) = 10 + 0.50t

Step-by-step explanation:

From the question, we've been informed that Joseph's hourly rate is $10 and that for every year he works at the grocery store, his hourly rate increases by $0.50.

Therefore, the function will be

R(t) = 10 + 0.50t

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What is 7.75 equivalent to
nevsk [136]
<span> 7.75 = 7 3/4
or
</span><span> 7.75 = 775/100</span>
3 0
3 years ago
PLS HELP WILL MARK BRAINLIEST
ahrayia [7]
9(2j+7+5j) Foil this out to get 18j+7+45j then 63j+7

Answer: 18j+7+45j , 63j+7 I think
8 0
2 years ago
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The quotient of (x^3+3x^2-4x-12)/(x^2+5x+6)
Elis [28]

Answer: The quotient is (x-2).

Step-by-step explanation:

Since we have given that

f(x)=(x^3+3x^2-4x-12)\\\\and\\\\g(x)=x^2+5x+6\\\\So,\ \frac{\left(x^3+3x^2-4x-12\right)}{\left(x^2+5x+6\right)}

Now, we have to find the quotient of the above expression.

So, here we go:

Factorise\ (x^3+3x^2-4x-12)\\\\=\left(x^3+3x^2\right)+\left(-4x-12\right)\\\\=-4\left(x+3\right)+x^2\left(x+3\right)\\\\=\left(x+3\right)\left(x^2-4\right)

Now, we will divide the above simplest form with g(x):

\frac{\left(x+3\right)\left(x^2-4\right)}{\left(x+2\right)\left(x+3\right)}\\\\=\frac{x^2-4}{x+2}\\\\=\frac{\left(x+2\right)\left(x-2\right)}{x+2}\ using\ (a^2-b^2)=(a+b)(a-b)\\\\=x-2

Hence, the quotient is (x-2).


6 0
3 years ago
Read 2 more answers
Someone pls help me.
nydimaria [60]
I’m here to help.
For this question here you need to use the sine formula for the area of a triangle and figure out the area of the sector

I’ll take you through it step-by-step

Area of the arc:

We only have 68.9 degrees out of 360 and we need to use the formula for the area of a circle.
Formula of a circle = pi x radius squared

68.9/360 x pi x 86.1184= 51.78 (2dp)

Area of triangle:
As you can see we have no height so we must use the sine formula for the area of a triangle.
Formula= 1/2abSinC

You should end up with
0.5 x 9.28x 9.28 x Sin(68.9)= 40.17 (2dp)

Now since you want the area of the segment shaded, just find the difference between these two values.

51.78-40.17 = 11.61
Answer= 11.6cm squared

Hope this helped!
3 0
3 years ago
What are the coordinates of the point on the directed line segment from (5,5) to
iogann1982 [59]

Answer:

(x,y) = (6,2)

Step-by-step explanation:

Given

(x_1,y_1) = (5,5)

(x_2,y_2) = (8,-4)

m:n  = 1:2

Required

Determine the coordinate of the partition

This is calculated using:

(x,y) = (\frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n})

Substitute values for m,n,x's and y's

(x,y) = (\frac{1 * 8 + 2 * 5}{1+2},\frac{1*-4 + 2*5}{1 + 2})

(x,y) = (\frac{18}{3},\frac{6}{3})

(x,y) = (6,2)

6 0
3 years ago
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