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3 years ago

URGENT!!

Mathematics

1 answer:

skad [1K]3 years ago

4 0

Answer:

x = 6

Step-by-step explanation:

You want to find factors of 78 that differ by 7. The value of x is the smaller of them.

78 = 1·78 = 2·39 = 3·26 = 6·13

We see the last factors on this list differ by 7, so we conclude x = 6.

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On what interval is the function f(x)=x^3-4x^2+5x concave upward?

taurus [48]

Calculus 1?

To find concavity you must take the second derivative.

As you would to find your local maximums and minimums (critical points) in the first derivative by setting y' = 0, to find points of inflection you set acceleration, y" = 0.

Now that you know where the point in which the function is neither concave up or concave down (at the points of inflection) plug x-values between them into the second derivative for x. If y" is positive between those particular points will be concave up and if y" is negative it will be concave down between that interval.

For a better understanding you might find a good video on Youtube explaining this if you search "Points of Inflections" or "Concavity of a function".

Cheers.

3 0

4 years ago

PLEASE HELP GUYS ARE BOTH THESE CORRECT!

kotegsom [21]

Answer:

yes

Step-by-step explanation:

8 0

3 years ago

Work out the surface area of this cylinder.<br>with radius 2 cm<br>and height 4 cm

Tju [1.3M]

Answer:

$75.39cm ^{2}$

Step-by-step explanation:

$area = 2\pi \times r \times h + 2\pi \times {r}^{2} \\ = 2 \times \pi \times 2 \times 4 + 2 \times \pi \times 22 \\ = 75.39822cm ^{2}$

3 0

3 years ago

In a triangle, PR is 12 more than twice PQ and QR is two more than 4 times PQ. If all three sides of the triangle have integer l

k0ka [10]

Answer:

x = 10

Step-by-step explanation:

In a triangle, PR is 12 more than twice PQ and If all three sides of the triangle have integer lengths, what is the largest possible value of x?

From the attached diagram, x = PQ

We have sides:

PQ, PR and QR

PR is 12 more than twice PQ

PR = 12 + 2PQ

PR = 12 + 2x

QR is two more than 4 times PQ.

QR = 2 + 4(PQ)

QR = 2 + 4x

Hence: we solve using Triangle Inequality

The triangle inequality states that the sum of the lengths of two sides of a triangle must be greater than the length of the third side.

Based on this property, if you know the lengths of two sides of a triangle and are trying to find the range of lengths of the third side, you can add the two known side lengths together and subtract the smaller one from the bigger one. The third side must be greater than the sum of the other two sides and less than their difference.

PQ > PR + QR

PQ < PR - QR

Therefore:

x + 12 + 2x > 2 + 4x

3x + 12 > 2 + 4x

12 - 2 > 4x - 3x

10 = x

5 0

3 years ago

Helppp! I have no idea what to do<br>

Sliva [168]

Answer:

Step-by-step explanation:

SOHCAHTOA

Cosine = Adjacent / Hypotenuse (Hypotenuse is the side opposite from the right angle)

The Hypotenuse is BT which has a measure of 25

Legs are the two sides that are not the Hypotenuse.

The adjacent leg to Angle B is SB which has a measure of 20.

Plug the measures in to get SinB = 20/25

5 0

3 years ago