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3 years ago

Please help lol ....

Mathematics

1 answer:

Nataly [62]3 years ago

8 0

So basically isolate the X

4x>32
Divide both sides by 4

X> 8
unshaded dot on 8, pointing to the left

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Please help ASAPPPPPP

g100num [7]

Answer:

Step-by-step explanation:

1/3t+5/12 t=1/4

1/3(1/4)+5/12=1/12

=6/12 or if you need it simplified 1/2

3 0

3 years ago

Jada walks up to a tank of water that can hold up to 10 gallons. When it is active, a drain

Alik [6]

Answer:

A. Every minute, 2/3 of a gallon is drained, so the rate of change would be -2/3

B. It would take 7.5 minutes to drain the tank

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3 years ago

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The submarine is at a depth of -116 2/7 feet when the scientists detect a signal frequency from the ocean floor. They dive farth

Lady_Fox [76]

Answer: $-64\frac{2}{7}\text{ feet}$

Step-by-step explanation:

When the scientists detect a signal frequency from the ocean floor, then the depth of submarine = $-116\frac{2}{7}$ feet

= $-\frac{814}{7}$ feet

When they dive farther to check the signal, then the depth of the submarine= $-180\frac{4}{7}=-\frac{1264}{7}$ feet.

The net change in their elevation = $-\frac{1264}{7}-(-\frac{814}{7})$

$=-\frac{1264}{7}+\frac{814}{7}\\=-\frac{450}{7}=-64\frac{2}{7}\text{ feet}$

5 0

4 years ago

Read 2 more answers

Calc help pretty please

Gre4nikov [31]

Answer:

A. 77.4

Step-by-step explanation:

Linear approximation formula

$L(x)=f(a)+f'(a)(x-a)$

Given function:

$f(x)=(x+1)^2$

$\boxed{\begin{minipage}{5.4 cm}\underline{Chain Rule for Differentiation}\\\\If $y=f(u)$ and $u=g(x)$ then:\\\\$\dfrac{\text{d}y}{\text{d}x}=\dfrac{\text{d}y}{\text{d}u}\times \dfrac{\text{d}u}{\text{d}x}$\\\end{minipage}}$

$\boxed{\begin{minipage}{5 cm}\underline{Differentiating $x^n$}\\\\If $y=x^n$, then $\dfrac{\text{d}y}{\text{d}x}=xn^{n-1}$\\\end{minipage}}$

$\boxed{\begin{minipage}{4 cm}\underline{Differentiating $ax$}\\\\If $y=ax$, then $\dfrac{\text{d}y}{\text{d}x}=a$\\\end{minipage}}$

Use the chain rule to differentiate the function.

$\textsf{Let }\:y=u^2\:\textsf{ where }u=(x+1)$

Differentiate the two parts separately:

$y=u^2 \implies \dfrac{\text{d}y}{\text{d}u}=2u$

$u=x+1 \implies \dfrac{\text{d}u}{\text{d}x}=1$

Put everything back into the chain rule formula:

$\begin{aligned} \implies \dfrac{\text{d}y}{\text{d}x} & =2u \times 1\\ & = 2u \\ & = 2(x+1)\\ & = 2x+2 \end{aligned}$

$\textsf{Therefore, }\:f'(x)=2x+2.$ .

The linear approximation at a = 8 is:

$\begin{aligned}L(x) & =f(a)+f'(a)(x-a)\\\\\implies L(x) & = f(8)+f'(8)(x-8)\\& = (8+1)^2+(2(8)+2)(x-8)\\& = 81+18(x-8)\\& = 18x-63\end{aligned}$

Finally, substitute x = 7.8 into the linear approximation equation:

$\begin{aligned}\implies L(7.8) & =18(7.8)-63\\& = 140.4-63\\& = 77.4\end{aligned}$

4 0

2 years ago

Read 2 more answers

which equations represent in point slope form, the line that passes through the points (-3,2) and (0,0) ?

alexandr1967 [171]

Answer: First Option is correct.

Explanation:

Since we have given that

there are two points from which the line is passing through :

$(-3,2)\ and\ (0,0)$

We have to use the two point slope form .

As we know the " Two point slope form" i.e.

$y-y_0=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

Here,

$x_1=-3\\\\x_2=0\\\\y_1=2\\\\y_2=0$

So, our equation becomes,

$(y-2)=\frac{0-2}{0+3}(x+3)\\\\(y-2)=\frac{-2}{3}(x+3)$

Hence, First Option is correct.

7 0

4 years ago