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atroni [7]
3 years ago
11

2r – 1 ≥ ‐3(r + 7) ( pls show work)

Mathematics
1 answer:
jenyasd209 [6]3 years ago
8 0

Answer:

R ≥-4

Step-by-step explanation:

Substitute

2r-1>-3r-21

+3r

5r-1>-21

5r>-20

Divide 5

R>-4

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How many solutions does the following system have?<br> y= 5x + 8<br> y = 5x + 3
NARA [144]

Answer:

This system has no solutions.

Step-by-step explanation:

If we try to solve:

  1. 5x + 8 = 5x + 3
  2. 5x + 8 - 3 = 5x
  3. 5x + 5 = 5x
  4. 5x - 5x + 5 = 5x - 5x
  5. 5 = 0

Since there are no x values left over and the remaining solution is zero, there is no solution for this equation.

Hope this helps!!

4 0
3 years ago
The sum of two numbers is 108. the difference of the same numbers is 78. what are the numbers
Nimfa-mama [501]

The sum of two numbers:

x + y = 108

The difference of the same two numbers:

x - y = 78

We can use substitution to figure out x and y:

x - y = 78 can be changed to x = 78 + y

We can plug this into the first equation:

78 + y + y = 108

78 + 2y = 108

2y = 30

y = 15

Now solve for x using any of the two equations. I'll use the first equation since it's easier:

x + 15 = 108

x = 93

4 0
3 years ago
What’s the Value of x?
denpristay [2]
X will be 8.49
the other side is 6 too
6 0
3 years ago
What is an equation of the line that passes through the point (8,-4) and is parallel
Savatey [412]

Answer:

y=0.25x-6

Step-by-step explanation:

5 0
3 years ago
Use identities to find the values of the sine and cosine functions for the following angle measure.
puteri [66]

Using the cosine double angle formula,

\cos 2\theta=2\cos^2 \theta-1=\frac{12}{13}\\\\2\cos^{2} \theta=\frac{25}{13}\\\\\cos^{2} \theta=\frac{25}{26}\\\\\boxed{\cos \theta=\frac{5}{\sqrt{26}}}

(Note I took the positive case since \theta terminates in the first quadrant)

Using the Pythagorean identity,

\sin^2 \theta+\cos^2 \theta=1\\\\\sin^2 \theta+\frac{25}{26}=1\\\\sin^2 \theta=\frac{1}{26}\\\\\boxed{\sin \theta=\frac{1}{\sqrt{26}}}

(Note I took the positive case since \theta terminates in the first quadrant)

6 0
1 year ago
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