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2 years ago

Solve the inequalities 1. t-7<-152. b+12<18

1 answer:

6 0

Inequalities are just like equations it's just that the sign flips anytime you multipliy or divide by a negative number

1.
$t - 7 < - 15$
First Add 7 to both sides
$t + (-7 + 7)< ( - 15 + 7) \\ t < - 8$
2.
$b + 12 < 18$
First Subtract 12 From Both Sides
$b + (12 - 12) < (18 - 12) \\ b < 6$

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What is the equation of the line with a slope of 3/4 that goes through the point (4, 1) in slope-intercept form?

Svetach [21]

Answer:

$y=\frac{3}{4}x+-2$

Step-by-step explanation:

We do not have enough information for slope intercept form. But we can use the point-slope formula to find the information. The formula is $y -y_{1} =m(x -x_{1})$ where we substitute a point (x,y) for $(x_{1},y_{1})$ .

We have m=3/4 and (4, 1). We input m and $x_{1} =4\\y_{1}=1$ .

$y-1=\frac{3}{4} (x-4)$

We now simplify the parenthesis and solve for y.

$y-1=\frac{3}{4} (x-4)\\y-1=\frac{3}{4}x+\frac{3}{4} (-4)$

We convert -4 into a fraction with 1 as the denominator.

$y-1=\frac{3}{4}x+\frac{3}{4} (\frac{-4}{1} )\\y-1=\frac{3}{4}x+\frac{-12}{4}\\y-1=\frac{3}{4}x+-3$

We add 1 to both sides to isolate y,

$y-1+1=\frac{3}{4}x+-3+1\\y=\frac{3}{4}x+-2$

This is slope intercept form. The line as slope 3/4 and y-intercept (0,2) or b=2.

4 0

3 years ago

Given the replacement set {2, 3, 4, 5}, solve 4x – 3 = 2x + 5.<br> GIVING 20 POINTS !!

Advocard [28]

Answer:

x=4

Step-by-step explanation:

4x - 3 = 2x + 5

4x - 2x = 5 + 3

2x = 8

x = 8/2

x = 4

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2 years ago

The length of a rectangle is four more than triple the width. if the perimeter is 120 inches, find the dimensions.

mezya [45]

120/2=60 (sum of both lengths)
4x+4=60
4x=56
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length=46
width=14

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2 years ago

What is .0487 as a percent

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To write .0487 as a percent, you have to remember that 1 equal's100% and what you need to do is.. multiply the number by 100 and add the symbol % .
.0487 * 100 = 4.87%

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3 years ago

Please answer the questions in my profile. There's plenty of points there

Shtirlitz [24]

Answer:

Step-by-step explanation:

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2 years ago