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Debora [2.8K]
3 years ago
15

Explain how you would get the answer please

Mathematics
1 answer:
kompoz [17]3 years ago
3 0
To find the intersection points, you take x^2 - 4x + 9 = -2x + 17

This gives x^2 - 2x - 8 = 0,

which factorises to (x - 4)(x + 2) = 0, giving the solutions x = 4 or x = -2

From the graph, we can see that x is positive, meaning x = 4, so a = 4.

Substituting x = 4 into y = -2x + 17, we get y = -2(4) + 17 = 9, so b = 9.

a + b = 4 + 9 = 13. The answer is B.
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After being treated with chemotherapy, the radius of the tumor decreased by 23%. What is the corresponding percentage decrease i
Crazy boy [7]

Answer:

The volume of the tumor experimented a decrease of 54.34 percent.

Step-by-step explanation:

Let suppose that tumor has an spherical geometry, whose volume (V) is calculated by:

V = \frac{4\pi}{3}\cdot R^{3}

Where R is the radius of the tumor.

The percentage decrease in the volume of the tumor (\%V) is expressed by:

\%V = \frac{\Delta V}{V_{o}} \times 100\,\%

Where:

\Delta V - Absolute decrease in the volume of the tumor.

V_{o} - Initial volume of the tumor.

The absolute decrease in the volume of the tumor is:

\Delta V = V_{o}-V_{f}

\Delta V = \frac{4\pi}{3}\cdot (R_{f}^{3}-R_{o}^{3})

The percentage decrease is finally simplified:

\%V = \left[1-\left(\frac{R_{f}}{R_{o}}\right)^{3} \right]\times 100\,\%

Given that R_{o} = R and R_{f} = 0.77\cdot R, the percentage decrease in the volume of tumor is:

\%V = \left[1-\left(\frac{0.77\cdot R}{R}\right)^{3} \right]\times 100\,\%

\%V = 54.34\,\%

The volume of the tumor experimented a decrease of 54.34 percent.

5 0
3 years ago
The slope on a graph
Elenna [48]
To calculate the slope of any graph y = mx + b is usually used
7 0
3 years ago
14 times the difference of 8 and w
Lunna [17]
14(8-W)=0
(14*8)-(14*W)=0
112-14W=0
-112 -112
------------------- The answer is 8
-14W= -112
-14W/(-14)= -112/(-14)
W=8
5 0
3 years ago
20 points pls help no links
aniked [119]

Answer:

(-15, 13)

Step-by-step explanation:

-3(8x + 9y = -3)

4( 6x + 7y = 1)

-24x - 27y = 9

24x + 28y = 4 (add both equations)

y = 13

6x + 7*13= 1

6x + 91= 1

6x = 1 -91

x = -91/6

x = -15

3 0
3 years ago
Sandi buys 2 fewer packages of pencils than p packages of pens. Pencils costs $2.45 per package and pens costs $3 per package. W
Ilya [14]
I think its B Because u have the total of pencils and how much they cost now u need to how know many pins you have to know how many they have in total
3 0
3 years ago
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