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stiv31 [10]
3 years ago
10

Please help. Solve 2x - 8 < 7.

Mathematics
2 answers:
kotegsom [21]3 years ago
4 0

ANSWER

The correct answer is C

EXPLANATION

The given inequality is:

2x - 8  \: <  \: 7

Group the constant terms on the right hand side to get;

2x \: <  \: 7 + 8

Simplify the right hand side

2x \: <  \: 15

Divide both sides by 2

x \: <  \:  \frac{15}{2}

{x|x<15/2}

The correct answer is C

hram777 [196]3 years ago
4 0

Answer:

\large\boxed{\left\{x\ |\ x

Step-by-step explanation:

2x-8

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What is the equation of the line that passes through point (4, 12) and has a y-intercept of —2?
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Answer:

<h2>y = 3.5x - 2</h2>

Step-by-step explanation:

The slope-intercept form of an equation of a line:

<h3>y = mx + b</h3>

m - slope

b - y-intercept

We have y-intercept b = -2. Substitute:

<h3>y = mx - 2</h3>

We have the point (4, 12) → x = 4, y = 12. Put them in the equation:

12 = 4m - 2         <em>add 2 to both sides</em>

14 = 4m       <em>divide both sides by 4</em>

14/4 = m → m = 3.5

5 0
3 years ago
Read 2 more answers
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Answer:

The answer is B: (1,2)

Step-by-step explanation:

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x+y=-1

-x=-1

x=1

-1+y=1

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3 years ago
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3 years ago
A machine fills containers with 35 ounces of raisins
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What’s the question?
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3 years ago
A trough of water is 20 meters in length and its ends are in the shape of an isosceles triangle whose width is 7 meters and heig
Vaselesa [24]

Answer:

a) Depth changing rate of change is 0.24m/min, When the water is 6 meters deep

b) The width of the top of the water is changing at a rate of 0.17m/min, When the water is 6 meters deep

Step-by-step explanation:

As we can see in the attachment part II, there are similar triangles, so we have the following relation between them \frac{3.5}{10} =\frac{a}{h}, then a=0.35h.

a) As we have that volume is V=\frac{1}{2} 2ahL=ahL, then V=(0.35h^{2})L, so we can derivate it \frac{dV}{dt}=2(0.35h)L\frac{dh}{dt} due to the chain rule, then we clean this expression for \frac{dh}{dt}=\frac{1}{0.7hL}\frac{dV}{dt} and compute with the knowns \frac{dh}{dt}=\frac{1}{0.7(6m)(20m)}2m^{3}/min=0.24m/min, is the depth changing rate of change when the water is 6 meters deep.

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8 0
3 years ago
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