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N76 [4]
3 years ago
14

Help me please i dont get it.

Mathematics
2 answers:
Trava [24]3 years ago
7 0

Answer:

x > -1/3

Step-by-step explanation:

so first we are going to distribute the numbers outside of the parenthesis. which gives us the equation

18-9x-8+12x > 9

then we are going to add our like terms

so 12x + -9x gives us 3x

and 18 + -8 gives us 10

so it would gives us the equation 3x+10>9

we then subtract 10 from both sides to keep our numbers on the right which gives us

3x > -1

then we divide by 3 on both sides to get X

and we then get X > -1/3

Andre45 [30]3 years ago
3 0

Answer:

x >  -  \frac{1}{3}

Step-by-step explanation:

9(2 - x) - 4(2 - 3x) > 9

18 - 9x - 8 + 12x > 9

10 + 3x > 9

3x > 9 - 10

3x >  - 1

\boxed{\green{x >  -  \frac{1}{3}}}

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How many liters equal 1258 cm3?
Ksivusya [100]
B.1.258, hope I helped! :)
7 0
4 years ago
Read 2 more answers
What is the volume of this rectangular prism?<br>2 cm<br>2 cm<br>7/3cm​
Hatshy [7]

Answer:

9.33 cm

Step-by-step explanation:

V= whl

w=7/3 or 2.3333333

h=2

l=2

V= 9.33 cm

4 0
3 years ago
Find the equation of a line parallel to y = 3x - 4 that passes through (-2,2).
Grace [21]

Answer:

Slope: 3.

Equation: y = 3x + 8.

Step-by-step explanation:

Lines that are parallel to each other will have the same slopes.

So, the slope of the new line will be 3.

Since we have the slope, and a set of coordinates the line passes through, we can find the equation. So far, we have y = 3x + b. x = -2, y = 2.

2 = 3(-2) + b

3(-2) + b = 2

-6 + b = 2

b = 8

So, the equation of the line will be y = 3x + 8.

Hope this helps!

5 0
4 years ago
Find the shortest distance between the line y = 2x + 3 and the point (-5, 8)<br> PLEASE EXPLAIN IT
erastova [34]

Answer:

6.7 units

Step-by-step explanation:

The shortest distance between two lines is the perpendicular line.

y = 2x + 3

Slope of the perpendicular line: - 1/2

Point (-5,8)

b (y-intersect) = 8 - (-1/2)(-5) = 11/2

Perpendicular line equation: y = -1/2x + 11/2

y = y

2x +3 = -1/2x + 11/2

2x + 1/2x = 11/12 - 3

5/2x = 5/2

x = (5/2) / (5/2)

x = 1

Plug x = 1 into any of the equations of the line to find y.

y = 2x + 3

y = (2*1)+3 = 5

Points from the perpendicular line (1,5) and (-5,8)

Distance between these two points:

d = sqrt[(-5-1)^2 + (8-5)^2]

= sqrt (6^2 + 3^2) = sqrt 45

= 6.7

7 0
3 years ago
N =64
faust18 [17]

Answer:

B.  1.70

Step-by-step explanation:

Given:

  • n=64
  • \overline{x}=65.1
  • \sigma=24
  • \textsf{h}_0:\mu=60
  • \textsf{h}_1:\mu\neq 60

\textsf{If }\: X \sim\textsf{N}(\mu,\sigma^2)\:\textsf{ then }\: \overline{X} \sim \left(\mu,\dfrac{\sigma^2}{n}\right) \implies Z=\dfrac{\overline{X}-\mu}{\sigma / \sqrt{n}} \sim \textsf{N}(0,1)

\textsf{then test statistic is}: \quad z=\dfrac{\overline{x}-\mu}{\sigma / \sqrt{n}}

Substituting the given values into the formula to find the test statistic z:

\begin{aligned}\implies z &=\dfrac{65.1-60}{24 / \sqrt{64}}\\\\&=\dfrac{5.1}{3}\\\\&=\dfrac{17}{10}\\\\&=1.7\end{aligned}

4 0
2 years ago
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