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igomit [66]
3 years ago
8

Variable expression for 3 times the sum of x and 2

Mathematics
1 answer:
Lynna [10]3 years ago
6 0
3(x+2)
Remember in expressions there’s no equals sign
Hope this helps!!
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The slope f′(x) at each point (x,y) on a curve y=f(x) is given, along with a point (a,b) on the curve. Use this information to f
Montano1993 [528]

f'(x)=\dfrac{4x}{1+7x^2}

Integrating gives

f(x)=\displaystyle\int\frac{4x}{1+7x^2}\,\mathrm dx

To compute the integral, substitute u=1+7x^2, so that \frac27\,\mathrm du=4x\,\mathrm dx. Then

f(x)=\displaystyle\frac27\int\frac{\mathrm du}u=\frac27\ln|u|+C

Since u=1+7x^2>0 for all x, we can drop the absolute value, so we end up with

f(x)=\dfrac27\ln(1+7x^2)+C

Given that f(0)=10, we have

10=\dfrac27\ln1+C\implies C=10

so that

\boxed{f(x)=\dfrac27\ln(1+7x^2)+10}

7 0
3 years ago
Which are vertical angles? Check all that apply. ∠EAB and ∠BAC ∠EAB and ∠CAD ∠CAD and ∠FAE ∠CAB and ∠DAE ∠DAC and ∠DAE
Anastaziya [24]

Answer:

<CAB and <DAE are vertical angles

<EAB and <CAD are vertical angles

Step-by-step explanation:

this is because they are formed by the prolongation of the sides of the other angles and are opposite to them on the other side of the vertex.

8 0
3 years ago
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Find the area of ABC with the side lengths a=8 and b= 12, and the included angle C =84 degrees. Round your answer to the nearest
spin [16.1K]

Answer:

47.7 square units

Step-by-step explanation:

The area of triangle ABC with two given sides and an inclusive angle =

1/2absinC

Where : a = 8, b = 12, C = 84

Area of Triangle ABC = 1/2 × 8 × 12 × sin 84

Area of Triangle ABC = 47.737050978 square units

Approximately to the nearest tenth = 47.7 square units.

6 0
3 years ago
If you have 584 packages of hard candy to rebox for shipment to a discount store and you can pack 12 packages in each box, how m
xz_007 [3.2K]

Answer:

48.6666 round up to 49

Step-by-step explanation

do 584 divided by 12 equals 48.6666 then round up to 49

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3 years ago
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Can u please help me this is hard
Westkost [7]
So we basically need to find 35% of 20. An easy way to find percents is to multiply by the decimal form of said percent. So, .35 x 20 = 7.


Brea will hit the ball approximately 7 times when she is at bat.
3 0
3 years ago
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