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FromTheMoon [43]
3 years ago
11

14 - ( 9t - 2 ) < - t + 30 Anyone know multistep equations

Mathematics
1 answer:
ZanzabumX [31]3 years ago
3 0

Answer:

t > -7/4

Step-by-step explanation:

Step 1: Write out inequality

14 - (9t - 2) < -t + 30

Step 2: Distribute

14 - 9t + 2 < -t + 30

Step 3: Combine like terms

-9t + 16 < -t + 30

Step 4: Add 9t to both sides

16 < 8t + 30

Step 5: Subtract 30 on both sides

-14 < 8t

Step 6: Divide both sides by 8

-7/4 < t

Step 7: Rewrite

t > -7/4

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Find the equation of a line that is perpendicular to 4x+6y=1 and that has a greater intercept to the line 2x+3y=18
enot [183]

Answer:

2y - 3x = -15

Step-by-step explanation:

Slope of the line 4x + 6y = 1 is as shown below;

Rewrite in slope intercept form;

6y = -4x+1

y = -4x/6 + 1/6

y = -2x/3 + 1/6

mx = -2/3x

m = -2/3

The slope of the line perpendicular M = -1/(-2/3)

M = 3/2

Get the x and y intercept of 2x+3y = 18

x intercept occurs when y  = 0

2x + 0 = 18

x= 18/2

x = 9

y intercept occurs when x  = 0

0 + 3y = 18

3y= 18

y = 18/3

y = 6

The line passes through the point (9,6)

Write the equation in point slope form

y - y0 = m(x-x0)

y - 6  = 3/2(x-9)

2(y-6) = 3(x-9)

2y - 12 = 3x - 27

2y - 3x = -27 + 12

2y - 3x = -15

This gives the required equation

8 0
3 years ago
What is the ricipricol of7/9
GuDViN [60]
The reciprocal would be 9/7 because a reciprocal is when you flip a fraction and put the denominator as the numerator and vice versa.
5 0
3 years ago
Read 2 more answers
Evaluate S5 for 600 + 300 + 150 + … What's the answer?
myrzilka [38]
The answer is C.)

S1 = 600 (divide by 2)
S2 = 300 (divide by 2)
S3 = 150 (divide by 2)
S4 = 75 (divide by 2)
S5 = 37.5
7 0
3 years ago
A police department reports that the probabilities that 0, 1, 2, and 3 burglaries will be reported in a given day are 0.53, 0.40
SpyIntel [72]
The mean of the probability distribution is given by the expected value given by

E(x)=\sum xp(x) \\  \\ =0(0.53)+1(0.40)+2(0.05)+3(0.02) \\  \\ =0.40+0.10+0.06=0.56

The variance of the probability distribution is given by

Var(x)=(x-\bar{x})^2p(x) \\  \\ =(0-0.56)^2(0.53)+(1-0.56)^2(0.40)+(2-0.56)^2(0.05)\\+(3-0.56)^2(0.02) \\  \\ =(-0.56)^2(0.53)+0.44^2(0.40)+1.44^2(0.05)+2.44^2(0.02) \\  \\ =0.3136(0.53)+0.1936(0.40)+2.0736(0.05)+5.9536(0.02) \\  \\ =0.166208+0.07744+0.10368+0.119072=0.4664

The standard deviation is given by

\sigma(x)=\sqrt{Var(x)} \\  \\ =\sqrt{0.4664}=0.683
5 0
2 years ago
Can someone help me with this?!
Alex787 [66]

Answer:

y=x+2.4

Step-by-step explanation:

8 0
2 years ago
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