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erastova [34]
3 years ago
8

Simplify this equation -5x+7>22

Mathematics
1 answer:
Lana71 [14]3 years ago
4 0

Answer:

<h2>x < - 3</h2>

Step-by-step explanation:

- 5x + 7 > 22

Move 7 to the other side of the inequality

- 5x > 22 - 7 \\  - 5x > 15

Divide both sides by - 5

\frac{ - 5x}{5}  >  -  \frac{15}{5}  \\ x >  - 3

Reverse the sign

We have the final answer as

<h3>x < - 3</h3>

Hope this helps you

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Write an equation in slope-intercept form of the line that passes through (-4,9) and (2, -8)
disa [49]

9514 1404 393

Answer:

  y = -17/6x -7/3

Step-by-step explanation:

The 2-point form of the equation for a line can be a useful place to start.

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

  y = (-8 -9)/(2-(-4))(x -(-4)) +9

  y = -17/6(x +4) +9 . . . . . simplify a bit

  y = -17/6x -11 1/3 +9 . . . eliminate parentheses

  y = -17/6x -7/3 . . . . . . . collect terms

8 0
3 years ago
Find the slope between the points (-3, -2) and (5, 4) (type in integer or reduced fraction you found only)
DiKsa [7]

Answer:

The slope is: \frac{3}{4}

Step-by-step explanation:

The equation for slope is:

m=\frac{y_{2}- y_{1} }{x_{2} -x_{1} }

Point 1: -3=x_{1}, -2=y_{1}

Point 2: 5=x_{2}, 4=y_{2}

4-(-2)=6

5- (-3)=8

6/8=3/4

4 0
3 years ago
Given the two similar triangles below. What is the measure of x?
MaRussiya [10]

Answer:

x=2.4

Step-by-step explanation:

as the 2 triangles are similar,

\frac{6}{x}  =  \frac{5}{2}

therefore ;

x =  \frac{6 \times 2}{5}

x = 2.4

3 0
3 years ago
Read 2 more answers
Find a linear function f, given f(6) = - 4 and f(-3) = - 10. Then find f(0).
kiruha [24]

Answer:

y =  \frac{2}{3} x - 8

f(0)=-8

Step-by-step explanation:

Slope=rise/run=(-4-(-10))/(6-(-3))=6/9=2/3=m

y=m*x+q

-4=(2/3)*(6)+q

q=-8

f(0)=(2/3)*(0)-8=-8

6 0
4 years ago
The combined height of the world's three tallest buildings is 6,360 feet. The building in Dubai is 745 feet taller than the buil
vichka [17]

Let's assume

height of building in Makkah as x

since, the building in Dubai is 745 feet taller than the building in Makkah

So, the height of the building in Dubai is x+745

Taipei's building is 301 feet shorter than Makkah's

so, Taipei's building height is x-301

now, we are given

The combined height of the world's three tallest buildings is 6,360 feet

sum of all three heights must be 6360

x+745+x-301+x=6360

now, we can solve for x

Combine like terms

3x+745-301=6360

3x+444=6360

Subtract both sides by 444

3x+444-444=6360-444

3x=5916

Divide both sides by 3

\frac{3x}{3}=\frac{5916}{3}

x=1972

so,

height of building in Makkah is 1972 feet

the height of the building in Dubai is 1972+745=2717

Taipei's building height is 1972-301=1671

Hence,

height of building in Makkah is 1972 feet

the height of the building in Dubai is 2717 feet

Taipei's building height is 1671 feet..................Answer



8 0
4 years ago
Read 2 more answers
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