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2 years ago

Please help me out, i will mark your answer (if it’s correct) as a brainiest:)

Mathematics

1 answer:

Ivanshal [37]2 years ago

8 0

Answer:

1. 5IN = 9 OUT

2. -3 IN= -7 OUT

3. 4 IN = 7 OUT

4. -9 IN = -20 OUT

Step-by-step explanation:

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What us the answer to x + 6 = - 10

Vlad [161]

Answer:

-16

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

Find dy du , du dx , and dy dx .

dangina [55]

Answer:

a) $\frac{dy}{du}=5(x^2 +1)^4$ , $\frac{du}{dx}=2x$ , $\frac{dy}{dx}=10x(x^2+1)^4$

b) $\frac{dy}{du}=4(4x^2-x+6)^3$ , $\frac{du}{dx}=8x-1$ , $\frac{dy}{dx}=4(8x-1)(4x^2-2+6)^3$

Step-by-step explanation:

We can use the chain rule in the following form: is u=u(x) is a differentiable function depending on x and y=y(u) is a differentiable function depending on u, then $\frac{dy}{dx}=\frac{dy}{du} \frac{du}{dx}$ .

a) $\frac{dy}{du}=\frac{d}{du} (u^5)=5u^4=5(x^2 +1)^4$ from the power rule.

$\frac{du}{dx}=\frac{d}{dx} (x^2 +1)=2x$ .

From the previous parts and the chain rule, $\frac{dy}{dx}=\frac{dy}{du} \frac{du}{dx}=5(x^2 +1)^4(2x)=10x(x^2+1)^4$

b) $\frac{dy}{du}=\frac{d}{du} (u^4)=4u^3=4(4x^2-x+6)^3$

$\frac{du}{dx}=\frac{d}{dx} (4x^2-x+6)=8x-1$ from the power and sum rules.

Then, $\frac{dy}{dx}=\frac{dy}{du} \frac{du}{dx}=4(4x^2 -x+6)^3(8x-1)=4(8x-1)(4x^2-x+6)^3$

8 0

3 years ago

A mother is 24 years older than her daughter.Before eight years she was seven times her daughter's age.Find their present ages

Ne4ueva [31]

Answer:

Mother's Present Age = 36 years

Daughter's Present Age = 12 years

Step-by-step explanation:

Let present age of mother be "m" and present age of daughter be "d"

Mother is 24 years older than her daughter, so we can write:

m = 24 + d

8 years ago, Mother was 7 times old as daughter, that would be:

m - 8 = 7(d - 8)

Note, since 8 years ago, both "m" and "d" have 8 subtracted from it.

Now we substitute Equation 1 into Equation 2 and solve for d:

$m - 8 = 7(d - 8)\\24+d - 8 = 7(d - 8)\\16+d=7d-56\\6d=72\\d=\frac{72}{6}\\d=12$

Mother age, m, would be:

m = 24 + d

m = 24 + 12

m = 36

Hence,

Mother's Present Age = 36 years

Daughter's Present Age = 12 years

4 0

2 years ago

(Super easy).<br> through: (-4,-2) and (1, 4)<br> Plleeeaassee help

ikadub [295]

What do we do? Like line it or what

3 0

2 years ago

Read 2 more answers

The solution to 4p + 2 < 2p + 5)

Georgia [21]

After solving $4p + 2 < 2p + 5$ we get $p$

Step-by-step explanation:

We need to solve

$4p + 2 < 2p + 5$

Solving

$4p + 2 < 2p + 5$

Subtract 2 from both sides:

$4p + 2-2 < 2p + 5-2\\4p$

Subtract 2p from both sides

$4p$

Divide both sides by 2p

$\frac{2p}{2}$

So, after solving $4p + 2 < 2p + 5$ we get $p$

Keywords: Inequality

Learn more about inequality at:

#learnwithBrainly

7 0

3 years ago