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drek231 [11]
1 year ago
9

Graph the inequality y > 1/2 x - 2

Mathematics
1 answer:
Keith_Richards [23]1 year ago
8 0

Slope intercept form:

y=mx+b

Where:

m= slope

b= y-intercept

For: y=1/2x-2

slope = 1/2

b= -2

To graph it we have to look at the y-intercept.(-2) It means that the line crosses the y axis at y=-2.

looking at the slope, we know that slope = rise (y) / run (x). 1/2

For every 2 units along the x-axis (to the right) the line goes up by 1 unit.

Since inequality has a y> the line is not included in the solution, so it's a dashed line, where the solution is above the line.

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Ahmad run 5 kilometres. If he completed 15% of the race. How many kilometres is the race?
stepladder [879]

Answer:

x = 33.33 kilometers

Step-by-step explanation:

you could make use of the percent, base, and rate formula here. we know that 15% is the rate, 5 kilometers is the percent, therefore what we are looking for is our base.

\frac{percent}{base} =\frac{rate}{100}

\frac{5}{x}=\frac{15}{100} ; cross multiply.

15x = 500

x = 33.33 kilometers

therefore, the race is 33.33 kilometers.

4 0
3 years ago
Read 2 more answers
HELP PLEASE IMMEDIATELY!! Jordan plans to carpet his living room. The dimensions of his living room are 11 feet by 12 feet. The
irakobra [83]

Answer:

$16.50

Step-by-step explanation:

Multiply 11 by 12

Then times the amount you get from multiplying 11 and 12

7 0
3 years ago
G(x)=(x^2+1)(3x-5) what is the value of g(4)?
MAVERICK [17]

g(x) = x^2 + 1(3x - 5)

<em><u>Replace all x's with 4.</u></em>

g(4) = 4^2 + 1(3 * 4 - 5)

g(4) = 16 + 1(12 - 5)

g(4) = 17(7)

g(4) = 119 (This is your answer.)

5 0
3 years ago
A bag contains purple marbles and blue marbles, 41 in total. The number of purple marbles is 4 less than 2 times the number of b
Andreas93 [3]

Answer:

There are 26 purple marbles in the bag.

Step-by-step explanation:

1) We have purple (p) and blue (b) marbles in a bag, and 41 marbles total so:

p+b = 41

2) we want to know how many purple marbles we have, so let's rearrange for p:

p = 41 - b

3) Our problem gives us an expression for the purple marbles in terms of the blue,  let's write it using math symbols instead of words:

<em>"The number of purple marbles is 4 less than 2 times the number of blue marbles."</em>

so: p = 2b - 4

3) Now we're going to plug this in (or substitute it) for our p in our first equation, and solve for b

p = 41 - b

2b - 4 = 41 - b     (substitution)

2b = 45 - b         ( add 4 to both sides)

3b = 45               (add b to both sides)

b = 15                  (divide both sides by 3)

4, last step!)

Now we know we have 15 blue marbles, that's great! But we still want to know how many purple marbles we have.

41- 15 = 26 purple marbles

4 0
3 years ago
Cends 36 feet in 2 seconds. Express the rate of the​ parachutist's change in height as a unit rate.
djverab [1.8K]

Answer: 18 ft per second

Step-by-step explanation: 36 divided by 2

5 0
2 years ago
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