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RoseWind [281]
3 years ago
8

Y = x – 6

Mathematics
1 answer:
zhenek [66]3 years ago
8 0
-4-6= -10
-10 = Y
-4 = X
Therefore the answer is (-4,-10) which isn’t on the options
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11. Kevin is comparing job offers at two stores.
hoa [83]

Answer:

Kevin's weekly sales will have to be worth more than $4000 in order for Dollar Deal to pay more.

Step-by-step explanation:

Dollar Deal offers $8/h plus 10% commission.

If he spends x hours, then offer after x hours and s amount from sales is;

8x + 10%s

This can be rewritten as; 8x + 0.1s

Now, Great Discounts offers $18/h with no commission.

Thus after 8 hours for 5 days, total number of hours = 40 hours.

Thus, great discounts offer = 18 × 40 = $720

Now, dollar deal will offer; 8(40) + 0.1s = 320 + 0.1s

Thus, for dollar deal to pay more weekly, then;

320 + 0.1s > 720

0.1s > 720 - 320

0.1s > 400

s > 400/0.1

s > 4000

8 0
3 years ago
A spherical cantaloupe is cut in half. The visible cross-section has an area of 5252 in2. The volume of the cantaloupe is _____
artcher [175]

Answer:

V = 286319.465 cm3

Step-by-step explanation:

First, you have to find the radius to be able to find the volume of a sphere.

The equation for the area of a circle is pi r^2 so you have to so some algebra.

5252 = pi r ^2

5252/pi = r^2

1671.76352 = r^2

sqrt(1671.76352) = r

r = 40.8872048

then you do the equation for the volume of a circle which is 4/3 pi r^3

4/3 pi (40.8872048)^3

4/3 pi 68353.7373

4/3 214739.599

286319.465

V = 286319.465 cm3

6 0
3 years ago
Consider the tangent line to the curve y = 6 sin(x) at the point (π/6, 3). (a) Find a unit vector that is parallel to the tangen
mojhsa [17]

Answer:

y=\frac{\pi }{6}+5.196(x-3)

Step-by-step explanation:

We have given the equation y = 6 sin (x)

On differentiating both side \frac{dy}{dx}=m=6cosx

As it passes through the point (\frac{\pi }{6},3)

So \frac{dy}{dx}=6cos\frac{\pi }{6}=5.196

Now the unit vector is parallel to the tangent so m will be 5.196

This passes through the point (\frac{\pi }{6},3)

So unit vector will be y-\frac{\pi }{6}=5.196(x-3)

y=\frac{\pi }{6}+5.196(x-3)

5 0
3 years ago
The amount Kenyon earns on the sale of a car can be represented by the equation E (p) = 250 +0.02p where E(p) represents the tot
kap26 [50]

Answer:

1) His total commission is $1,234.3

2) The purchase of the car is $24,790.

Step-by-step explanation:

1) 21640*0.02= 432.8+ 250= 682.8

15075*0.02= 301.5+ 250= 551.5

682.8+ 551.5= 1,234.3

2) 745.8- 250= 495.8/ 0.02= 24,790

5 0
3 years ago
Read 2 more answers
Which of the following shows the division problem below in synthetic division form? (6x^3+x^2-3)/(x-7)
PSYCHO15rus [73]

Answer:

Option C.

Step-by-step explanation:

If a polynomial P(x) is divided by (x-c), then we write leading coefficients inside the synthetic division line and c outside the synthetic division line.

The given division problem is

\dfrac{6x^3+x^2-3}{x-7}

Here,

x-c=x-7\Rightarrow c=7

The numerator polynomial can be written as

P(x)=6x^3+x^2+0x-3

So, the coefficients of numerator are 6, 1, 0, -3.

The synthetic division form for given division problem is

7      |     6       1      0    -3

Therefore, the correct option is C.

5 0
3 years ago
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