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podryga [215]
3 years ago
8

What is 8r-(5r+4) ≥-31

Mathematics
1 answer:
lesantik [10]3 years ago
5 0

Answer:

r ≥ -9

Step-by-step explanation:

8r-(5r+4)\geq -31\\8r-5r-4 \geq -31\\3r - 4 \geq -31\\3r \geq -27\\r \geq -9

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Solve the system of equations. y=23x–19 x2–y= – 6x–23 Write the coordinates as integers, simplified proper or improper fractions
forsale [732]

Answer:

(3, 50) and (14,303)

Step-by-step explanation:

Given the system of equations;

y=23x–19 ....1

x²–y= – 6x–23 ...2

Substitute 1 into 2;

x²–(23x-19)= – 6x–23

x²–23x+19= – 6x–23 .

x²-23x + 6x + 19 + 23  = 0

x² - 17x + 42 = 0

Factorize;

x² - 14x - 3x + 42 = 0

x(x-14)-3(x-14) = 0

(x-3)(x-14) = 0

x = 3 and 14

If x = 3

y = 23(3) - 19

y = 69-19

y = 50

If x = 14

y = 23(14) - 19

y = 322-19

y = 303

Hence the coordinate solutions are (3, 50) and (14,303)

8 0
3 years ago
2. The water level in a reservoir is now 52 meters. Which equation can be used to find the initial depth, d, if this is the wate
Maru [420]

Answer:

1.23d = 52

Explanation:

If 52 meters is the water level after a 23% increase, then we can say that the initial depth d added to the 23% of d is equal to 52 meters. So:

d + 23%d = 52 meters

Since 23% is equivalent to 0.23, we get:

d + 0.23d = 52

Finally, adding the like terms, we get:

(1 + 0.23)d = 52

1.23d = 52

So, the equation is:

1.23d = 52

8 0
1 year ago
Explain why you do not have to do computing to solve 15×0×(13+7)
neonofarm [45]
The answer is 300 if you do the per enthuses first
5 0
3 years ago
Max surveyed 100 of the 200 7th graders that attend his school to help determine new lunch choices in the lunch room. He has com
kirill [66]

Answer:

i think it's c id

Step-by-step explanation:

5 0
3 years ago
Note: Enter your answer and show all the steps that you use to solve this problem.
ivolga24 [154]

Answer:

1) x = 6

2) 129

Step-by-step explanation:

For equation 1:

7x=42\\\\\frac{7x=42}{7}\\\\ \boxed{x=6}

Expression 2:

Apply PEMDAS Rule.

8^2+9((12/3)*2)-7\\\\8^2+9(4*2)-7\\\\8^2+9(8)-7\\\\64+9(8)-7\\\\64+72-7\\\\136-7\\\\\boxed{129}

Hope this helps.

3 0
3 years ago
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