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lana [24]
3 years ago
13

write a equation in slope intercept form that is parallel to the line y=-5/3x-1 and passes through the coordinates (9,5)

Mathematics
1 answer:
Maru [420]3 years ago
8 0

Answer:

y = (-5/3)x+20

Step-by-step explanation:

Parallel lines have the same slope.

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Kersha has two jobs. During the day she works as an office clerk, and in the evening she works as a cashier. Her office job pays
Furkat [3]
Let x =  hours worked as a clerk ($12 per hour).Let y = hours worked as a cashier ($8.25 per hour).She worked 55 hours, thereforex + y = 55             (1)She earned $585, therefore12x + 8.25y = 585        (2)From (1), obtainy = 55 - x           (3)Substitute (3) into (2).12x + 8.25(55 - x) = 58512x + 453.75 - 8.25x = 5853.75x = 131.25x = 35y = 55 - x = 55 - 35 = 20
Answer: c)  Office clerk: 35 hours; cashier: 20 hours.
3 0
4 years ago
Find the area enclosed by the curve<br> x = t2 − 2t, y = t and the y-axis.
MA_775_DIABLO [31]
The curve hits the y-axis whenever x=0:

x=t^2-2t=0\implies t(t-2)=0\implies t=0,t=2

The area enclosed by the region is the sum of distances of every point on the curve where t\in[0,2] to the origin. This is given by the integral

\displaystyle\int_0^2\sqrt{x(t)^2+y(t)^2}\,\mathrm dt
\displaystyle\int_0^2\sqrt{(t^2-2t)^2+t^2}\,\mathrm dt
\displaystyle\int_0^2\sqrt{t^2(t-2)^2}\,\mathrm dt
\displaystyle\int_0^2|t||t-2|\,\mathrm dt

Since t\in[0,2], you have |t|=t and |t-2|=-(t-2)=2-t, giving you

\displaystyle\int_0^2(2t-t^2)\,\mathrm dt=t^2-\dfrac{t^3}3\bigg|_{t=0}^{t=2}=4-\dfrac83=\dfrac43
7 0
3 years ago
What is the sixth term of a number pattern that begins with 185 and subtracts 15?
DochEvi [55]

Answer:

110 is answer.

Step-by-step explanation:

Given that first term is 185

Each term is got by subtracting 15 from the previous term

Hence we have an arithmetic sequence with a = 185 and d = common difference =-15

6th term would be

a_6 = a+(6-1)d = 185+5(-15)

=110

Verify:

185, 170, 155,140,125,110

We get by subtracting 15 the same answer as the 6th term

4 0
3 years ago
Read 2 more answers
Suppose Vicky deposits $19.00 into a savings account. The interest rate is 4% per year. Find the number of years it takes to ear
ollegr [7]

Answer:

Step-by-step explanation:

Simple Interest formula S.I = Principal * rate * time

S.I = P * r *t

In this case Simple interest ; S.I = $4.56

Principal; P = $19.00

rate; r = 4% or 0.04 as a decimal

t = total duration of investment in years.

Next, plug in the numbers in the S.I formula and solve for <em>t</em>

4.56 = 19 * 0.04 * t

4.56 = 0.76t

Divide both sides by 0.76;

4.56 / 0.76 = t

t = 6

Therefore, it will take 6 years to earn a simple interest of $4.56

8 0
3 years ago
Help me please I'm very confused about this!
Colt1911 [192]

Answer:I think it's trying to find the area of which is a 5 times 2 = 10

Step-by-step explanation:

6 0
3 years ago
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