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3 years ago

If f(x) = x and g(x) = vx, what is f(g(x) when x = -3?

Mathematics

1 answer:

Oksana_A [137]3 years ago

6 0

Answer:

f(g(x) = -3v

Step-by-step explanation:

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SteelDrivers 78 miles on 3 gallons of gas find the miles per gallon

Neko [114]

78 divided by 3 = 25

4 0

4 years ago

Mrs. Morton has a special reward system for her class. When all her students behave well, she rewards them by putting 3 marbles

Olin [163]

Answer: $24+3r\geq100$

r=26

Step-by-step explanation:

Given: Mrs. Morton rewards her students on behave well by putting 3 marbles into a marble jar.

If the jar contains 24 marbles. and r represent the number of additional times the class is rewarded then the required equation will be

$24+3r\geq100$

If we solve it, we will get the minimum the jar contains 24 marbles.

To solve equation, subtract 24 from both sides, we get

$3r\geq100-24\\\Rightarrow3r\geq76\\\Rightarrow\ r\geq\frac{76}{3}\geq25.333\approx 26$

Hence, the minimum whole number of additional times they need to be rewarded so they can have a party=26

3 0

4 years ago

Read 2 more answers

Consider the surface defined by the equation x3 + y3 + z3 = 3xyz. Use implicit differ- ∂z entiation to find ∂x. (Note z is not a

Aloiza [94]

Answer:

$\frac{∂z}{∂x}=\frac{(3yz-3x^{2})}{3z^{2} -3xy}$

Step-by-step explanation:

Given equation is $x^{3}+y^{3}+z^{3}=3xyz$ ………………(1)

we use derivative formula $\frac{d}{dx}(x^{n}) = n x^{n-1}$

$\frac{d}{dx}(x^{3)} = 3 x^{2}$

$\frac{d}{dx}(z^{3)} = 3 z^{2}$

And also apply 'u v' formula

$\frac{d}{dx}(uv}) = u\frac{d}{dx}(v)+v\frac{d}{dx}(u)$

Differentiating equation (1) partially with respective to 'x' , we treated 'y' as constant.

$(3x^{2} +0+3z^{2}\frac{∂z}{∂x}) =3y(x\frac{∂z}{∂x}+z(1))$ ( here y treated as constant so the derivative of constant function is zero in addition but in multiplication the constant is keep as like 'y').

on simplification , we get

$(3x^{2} +0+3z^{2}\frac{∂z}{∂x}) =(3yx\frac{∂z}{∂x}+3yz)$

again simplification, we get

$3z^{2}\frac{∂z}{∂x}- 3yx\frac{∂z}{∂x}=3yz-3x^{2}$

taking common ' $\frac{∂z}{∂x}$ on left on side , we get

$(3z^{2}- 3yx)\frac{∂z}{∂x}=3yz-3x^{2}$

dividing ' $(3z^{2}- 3yx)$ on both sides, we get

$\frac{∂z}{∂x}=\frac{(3yz-3x^{2})}{3z^{2} -3xy}$

<u>Final answer</u>:-

$\frac{∂z}{∂x}=\frac{(3yz-3x^{2})}{3z^{2} -3xy}$

6 0

3 years ago

Please!!! find the value of x (question 7)

ludmilkaskok [199]

Answer:

I think it's 25

Step-by-step explanation:

Because the image next to it has the angles of 90, 65

90+65 = 155

180- 155 =25

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3 years ago

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Triangle with a missing segment. 30, 20, 24, x

iVinArrow [24]

A triangle only has 3 segments do ur not missing anything

4 0

4 years ago