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3 years ago

Find the value of x so that the function has the given value

Mathematics

1 answer:

True [87]3 years ago

3 0

Answer:

Step-by-step explanation:

We are looking for the value of x so that the function has the given value in the following:

1) h(x) = -7x; h(x)=63

From the function given above,

If h(x) = 63, then,

h(x) = 63 = -7x

-7x = 63

Dividing the left hand side and right hand side of the equation by -7, it becomes

-7x/-7 = 63/-7

x = - 9

2) m(x) = 4x + 15; m(x)=7

From the function given above,

If m(x) = 7, then,

m(x) = 7 = 4x + 15

7 = 4x + 15

4x = 15 - 7 = 8

Dividing the left hand side and right hand side of the equation by 4, it becomes

4x/4 = 8/4

x = 2

3) q(x) = 1/2x - 3; q(x) = -4

From the function given above,

If q(x) = - 4, then,

q(x) = - 4 = 1/(2x - 3) =

Cross multiplying,

-4(2x-3) = 1

-8x +12 = 1

Collecting like terms,

-8x = 1 - 12

-8x = -11

Dividing the left hand side and right hand side of the equation by -8, it becomes

-8x/8 = -11/-8

x = 11/8

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Find the area of the surface. The part of the surface z = xy that lies within the cylinder x2 + y2 = 36.

rewona [7]

Answer:

Step-by-step explanation:

From the given information:

The domain D of integration in polar coordinates can be represented by:

D = {(r,θ)| 0 ≤ r ≤ 6, 0 ≤ θ ≤ 2π) &;

The partial derivates for z = xy can be expressed as:

$y =\dfrac{\partial z}{\partial x} , x = \dfrac{\partial z}{\partial y}$

Thus, the area of the surface is as follows:

$\iint_D \sqrt{(\dfrac{\partial z}{\partial x})^2+ (\dfrac{\partial z}{\partial y})^2 +1 }\ dA = \iint_D \sqrt{(y)^2+(x)^2+1 } \ dA$

$= \iint_D \sqrt{x^2 +y^2 +1 } \ dA$

$= \int^{2 \pi}_{0} \int^{6}_{0} \ r \sqrt{r^2 +1 } \ dr \ d \theta$

$=2 \pi \int^{6}_{0} \ r \sqrt{r^2 +1 } \ dr$

$= 2 \pi \begin {bmatrix} \dfrac{1}{3}(r^2 +1) ^{^\dfrac{3}{2}} \end {bmatrix}^6_0$

$= 2 \pi \times \dfrac{1}{3} \Bigg [ (37)^{3/2} - 1 \Bigg]$

$= \dfrac{2 \pi}{3} \Bigg [37 \sqrt{37} -1 \Bigg ]$

3 0

3 years ago

Oo what is 32 x 23 / 21

Inga [223]

Answer:

35.04761905

Step-by-step explanation:

32 x 23 = 736

736/21= 35.04761905

3 0

3 years ago

Read 2 more answers

Harold, the handyman, builds two similar sheds for a farm. The smaller shed is 6 feet tall and weighs 500 pounds. If it takes th

Akimi4 [234]

Answer:

18 ft

1500 pounds

Step-by-step explanation:

6 x 3 = 1 8

500 x 3 = 1500

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3 years ago

A bank loans you $5000 for school to be repaid with 4% interest how much do you owe after 2 years? 4 years? and 7 years?

Gemiola [76]

After 2 years-$4608
After 4 years-$4246.73
After 7 years-$3757.24

8 0

3 years ago

The triangles above are similar write a similarity statement if possible solve for x the images are not drawn to scale

e-lub [12.9K]

Answer:

The value of x is 8.

Step-by-step explanation:

In triangle PQR and XZY,

$\angle P=\angle X=90^{\circ}$

$\angle Q=\angle Z$

$\angle R=\angle Y$

By AA property of similarity, we can say that

$\triangle PQR\sim \triangle XZY$

The similarity statement is $\triangle PQR\sim \triangle XZY$ .

The corresponding sides of similar triangles are proportional. Since both triangles are similar, so

$\frac{PQ}{QR}=\frac{XZ}{ZY}$

$\frac{21}{28}=\frac{5x+2}{7x}$

$\frac{3}{4}=\frac{5x+2}{7x}$

$7x\times 3=(5x+2)\times 4$

$21x=20x+8$

$21x-20x=8$

$x=8$

Therefore the value of x is 8.

4 0

4 years ago