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3 years ago

Y=x-6 table for this

Mathematics

1 answer:

maria [59]3 years ago

3 0

X 0 1 2 3 4 5 6
y -6 -5 -4 -3 -2 -1 0

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Which number line shows the solution set for the inequality -4x+7>15

Ira Lisetskai [31]

First, let's simplify the inequality as much as we can:

-4x + 7 > 15
-4x > 8

Divide by -4:
x < -2

3 0

3 years ago

If a math student Square both legs of a right triangle and the results were 441 and 400, what is the length of the hypotenuse of

kolezko [41]

Answer:

$29 \\$

Solution:

According to the Pythagorean Theorem, is that the square of the hypotenuse is equal to the sums of squares of the two legs in which if you take the square root of the sum you are going to get the actual length of the hypotenuse but the two legs are already squared so all you have to do now is sum them and take the square root of it.

$\sqrt{441 + 400} \\ \sqrt{841} \\ 29$

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3 years ago

A food service in the mall prepares free samples of chicken to give out during dinner time. One hour later, the food service has

jeka94

The food service gave out 80 samples, which is 4 fewer than 70% of the total number of samples they prepared. Lets make x the total number of samples they prepared.

So lets write it as an equation

80 = (70% of x) -4

70% converts to a decimal by moving the decimal point 2 spaces up, so it is 0.7

80 = 0.7x-4

Add 4 to both sides of the equation

84 = 0.7x

Divide both sides by 0.7 to isolate the x

x = 120

The food service prepared 120 samples.

5 0

2 years ago

A tank holds 1,000 gallons of syrup. Danielle filled 65 5-gallon cans with syrup. How much syrup was left in the tank when she f

Mrrafil [7]

65 times 5 is 325 then u take 1000 and minus 325 from it and end up with 675

5 0

2 years ago

Read 2 more answers

Write an equation that is perpendicular to and 3x+y=3 whose y-intercept 5. Anyone please help me, no link just explain how to do

Liula [17]

Answer:

$y = \frac{1}{3}x + 5$

Step-by-step explanation:

By definition, two lines are perpendicular if and only if their slopes are negative reciprocals of each other: $m = - \frac{1}{m_{2} }$ , or equivalently, $m_{1} * m_{2} = -1$ .

Given our linear equation 3x + y = 3 (or y = -3x + 3):

We can find the equation of the line (with a y-intercept of 5) that is perpendicular to y = -3x + 3 by determining the negative reciprocal of its slope, -3, which is $\frac{1}{3}$ .

To test whether this is correct, we can take first slope, $m_{1} = -3$ , and multiply it with the negative reciprocal slope $m_{2} = \frac{1}{3}$ :

$m_{1} * m_{2} = -1$

$-3 * \frac{1}{3} = -1$

Therefore, we came up with the correct slope for the other line, which is $\frac{1}{3}$ .

Finally, the y-intercept is given by (0, 5). Therefore, the equation of the line that is perpendicular to 3x + y = 3 is:

$y = \frac{1}{3}x + 5$

7 0

2 years ago