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3 years ago

Solve the equation 40 = -10(y+0.3). what does the y equal

Mathematics

2 answers:

scoundrel [369]3 years ago

8 0

Answer:

y = -4.3

Step-by-step explanation:

40 = -10(y + 0.3)

40 = -10y - 3

-3. -3

43 = -10y

Divide 43 by -10

y equal 4.3

alexdok [17]3 years ago

4 0

Answer:

y = -4.3

Step-by-step explanation:

40 = -10(y + 0.3) <em>{Step 1: Use the distributive property to multiply -10 by y + 0.3}</em>

40 = -10y + -10(0.3)

40 = -10y - 3 <em>{Step 2: Add 3 to both sides.}</em>

40 + 3 = -10y

43 = -10y <em>{Step 3: Divide both sides by -10}</em>

43/-10 = y

-4.3 = y

y equals -4.3.

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A line passes through the points (8, –1) and (–4, 2). A coordinate plane. What is the y-intercept of this line?

lora16 [44]

Answer:

y-intercept is 1

Step-by-step explanation:

We need to find the equation of the line first.

<h3>Gradient</h3>

The gradient is found using the formula:

$m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

$m=\frac{-1-2}{8--4}$

$m=-\frac{1}{4}$

So the equation is y = $-\frac{1}{4}$ x + c

<h3>Finding c</h3>

To find c we need to substitute the value of x and y into the equation:

-1 = $-\frac{8}{4}$ + c

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8 0

3 years ago

Read 2 more answers

Find the directional derivative of the function at the given point in the direction of the vector v. f(x, y, z) = xe^y + ye^z +

LUCKY_DIMON [66]

Answer:

$D_{\vec{u}}f(0,0,0)=\frac{6}{\sqrt{54}}$

Step-by-step explanation:

We need to find the directional derivative of the function at the given point in the direction of the vector v.

$f(x, y, z)=xe^{y} + ye^{z} + ze^{x}$ ,point (0, 0, 0) and $v=$

By Theorem: If f is a differentiable function of x , y and z , then f has a directional derivative for any unit vector $\overrightarrow{v} =$ and

$D_{\overrightarrow{u}}f(x,y,z)=f_{x}(x,y,z)u_1+f_{y}(x,y,z)u_2+f_{z}(x,y,z)u_3$

where $\overrightarrow{u}=\frac{\overrightarrow{v}}{||v||}$

since, $v=$

then $\overrightarrow{u}=\frac{\overrightarrow{v}}{||v||}$

$\overrightarrow{u}=< \frac{6}{\sqrt{6^{2}+3^{2}+(-3)^{2}}},\frac{3}{\sqrt{6^{2}+3^{2}+(-3)^{2}}},\frac{-3}{\sqrt{6^{2}+3^{2}+(-3)^{2}}} >$

$\overrightarrow{u}=< \frac{6}{\sqrt{54}},\frac{3}{\sqrt{54}},\frac{-3}{\sqrt{54}} >$

The partial derivatives are

$f_{x}(x,y,z)=e^{y}+ze^{x}$

$f_{y}(x,y,z)=xe^{y}+e^{z}$

$f_{z}(x,y,z)=ye^{z}+e^{x}$

Then the directional derivative is

$D_{\vec{u}}f(x,y,z)=(e^{y}+ze^{x})(\frac{6}{\sqrt{54}})+(xe^{y}+e^{z})(\frac{3}{\sqrt{54}})+(ye^{z}+e^{x})(\frac{-3}{\sqrt{54}})$

so, directional derivative at point (0,0,0)

$D_{\vec{u}}f(0,0,0)=(e^{0}+0e^{0})(\frac{6}{\sqrt{54}})+(0e^{0}+e^{0})(\frac{3}{\sqrt{54}})+(0e^{0}+e^{0})(\frac{-3}{\sqrt{54}})$

$D_{\vec{u}}f(0,0,0)=\frac{6}{\sqrt{54}}+\frac{3}{\sqrt{54}}+\frac{-3}{\sqrt{54}}$

$D_{\vec{u}}f(0,0,0)=\frac{6+3-3}{\sqrt{54}}$

$D_{\vec{u}}f(0,0,0)=\frac{6}{\sqrt{54}}$

3 0

4 years ago

Lizzy has 6.5 hours to tutor 4 students and spend 1.5 hours in a lab. She plans to tutor each student the same amount of time. T

olchik [2.2K]

Not really sure whats up with that inequality but she can't, if she has to spend 1.5 hours in a lab that leaves her with 5 hours. 5/4 is 1.25, so no, she can only spend 1.25 hours with each student.

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4 years ago

Six groups of students sell 162 balloons at a carnival.There are 3 students in a group.If each student sells the same number how

natima [27]

Answer:

Step-by-step explanation:

there are 6 groups of 3 students, that is

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4 years ago

In this particular arithmetic sequence, a8 = 45 and a16 = 93. What is the value of a24?

zubka84 [21]

A24 = 141,

using equation,
an = a1 + (n-1)d,

a8 = a + 7d = 45
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therefore, inserting values into a24 eqn, where
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3 years ago

Solve the equation 40 = -10(y+0.3). what does the y equal​

Solve the equation 40 = -10(y+0.3). what does the y equal