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3 years ago

How do you find x In mathematics?

Mathematics

1 answer:

vovangra [49]3 years ago

8 0

The x is the independent variable of the number and the y is the dependent so find the one thats independent

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PLEASE HELP!!! PLATO ALGEBRA 2

andrey2020 [161]

Answer:

(gof) (4) = 9

Hence, option A is true.

Step-by-step explanation:

f(x)=-x³

g(x)=|1/8x -1|

(gof) (4) = g{f(4)}

First wee need to determine f(4)

f(4)=-(4)³

= -64

(gof) (4) = g{f(4)} = g(-64)

= $\left|\frac{1}{8}\left(-64\right)-1\right|$

$=\left|-\frac{1}{8}\cdot \:64-1\right|$

$=\left|-8-1\right|$

$=\left|-9\right|$

$\mathrm{Apply\:absolute\:rule}:\quad \left|-a\right|=a$

$=9$

Thus,

(gof) (4) = 9

Hence, option A is true.

8 0

3 years ago

Rob spent $38 on shirts. Tee shirts cost $4 and long sleeve shirts cost $5. If he bought a total of 8 then how many of each kind

KATRIN_1 [288]

Answer:

2 long sleeve and then 7 short sleeve

3 0

3 years ago

For a certain commodity the supply equation is given by S = 2p + 5 At a price of $1, there is a demand for 19 units of the commo

slava [35]

Answer:

The demand equation is: D=-4p+23

Step-by-step explanation:

To get started, we should keep in mind that the market price (p=3) occurs when supply equals demand ,therefore when p=3

S=2(3)+5=11

Thus, when p=3 D=11 and, according to the problem when p=1 D=19.

We already know two points on the demand curve. Great!

The demand equation is linear, so it has form D=bp+c.

The variable b is the slope of the demand linear equation . It can be computed through the formula

$b=\frac{y2-y1}{x2-x1}$ . equation 1

Substituting the two points (3,11) and (1,19) on equation 1.

$b=\frac{19-11}{1-3} =\frac{8}{-2}$

b=-4

Now we can find the value of intercept of the demand equation c trough point-slope form y-y1=b(x-x1).

We can use any of the points. Let's take (3,11) and write in point-slope :

y-11=-4(x-3)

y=-4x+11+12

y=-4x+23

Rewrite the linear equation according our variables D and p

D=-4P+23

Finally we found the demand equation !

5 0

4 years ago

Please, my whole grade depends on this question!!!

anastassius [24]

Answer:

y = 14.4x - 18.4

Step-by-step explanation:

This is the equation for the regression line, I hope this helps!

4 0

3 years ago

Hey everyone !

zhuklara [117]

Answer:

The measure of the largest angle is 120°

Step-by-step explanation:

Lets explain how to find the measure of an angle from the length of the

sides of the triangle

- We can do that by using the cosine rule

- If the three angles of the triangle are A , B , C, then the side opposite

to angle A is BC , the side opposite to angle B is AC and the side

opposite to angle C is AB, So to find measure of angle A use the rule

$cos(A)=\frac{(AB)^{2}+(AC)^{2}-(BC)^{2}}{2(AB)(AC)}$

Lets solve the problem

- Assume that the triangle is ABC where AB = 14 cm , BC = 10 cm and

AC = 6 cm

- We need to find the measure of the largest angle

- The largest angle is opposite to the longest side

∵ The longest side is AB

∴ The largest angle is C

By using the rule above

∴ $cos(C)=\frac{(AC)^{2}+(BC)^{2}-(AB)^{2}}{2(AC)(BC)}$

∵ AB = 14 cm , BC = 10 cm , AC = 6 cm

∴ $cos(C)=\frac{(6)^{2}+(10)^{2}-(14)^{2}}{2(6)(10)}$

∴ $cos(C)=\frac{36+100-196}{120}$

∴ $cos(C)=\frac{-60}{120}=-0.5$

∴ cos(C) = -0.5 ⇒ that means angle C is obtuse angle

∴ m∠C = $cos^{-1}(-0.5)=120$

* The measure of the largest angle is 120°

8 0

3 years ago

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