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emmainna [20.7K]
3 years ago
14

The inequality 6 - 2/3x < x - 9 is equilvalent to ...

Mathematics
1 answer:
erma4kov [3.2K]3 years ago
6 0
The answer is letter a
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Nichior compared the slope of the function graphed to the slope of the linear function that has an x-intercept of 2/3 and a y-in
marusya05 [52]

Answer:

The slope of f(x) is 1.5

Step-by-step explanation:

step 1

Find the slope of the linear function that has an x-intercept of 2/3 and a y-intercept of -1

so

we have the points

(2/3,0) and (0,-1)

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

substitute the values

m=\frac{-1-0}{0-2/3}

m=\frac{-1}{-2/3}

m=\frac{3}{2}=1.5

step 2

Find the slope of the function graphed

take the points

(0,-1) and (3,6)  approximately

substitute in the formula

m=\frac{6+1}{3-0}

m=\frac{7}{3}=2.33

step 3

we know that

f(x) represents the function with the smaller slope

The smaller slope is 1.5

therefore

The slope of f(x) is 1.5

4 0
3 years ago
Look at the Screenshot and ANSWER THE QUESTION
ad-work [718]

Answer:

Graph C is the answer.

Step-by-step explanation:

From the graphs attached,

Graph A

Given graph represents a cubic function.

Graph B

This graph represents a piecewise  function.

Graph C

This graph represents an exponential function.

Graph D

Given graph represents a quadratic function.

Graph C is the answer.

6 0
3 years ago
Solve the system using substitution: x = -4y and x + 5y = 2<br> Please and thank you.
Novay_Z [31]

Answer:

x = - 8, y = 2

Step-by-step explanation:

x =  - 4y......(1) \\ x + 5y = 2....(2) \\ plug \: x =  - 4y \: in \: equation \: (2) \\  - 4y + 5y = 2 \\ y = 2 \\ plug \: y = 2 \: in \: equation \: (1) \\ x =  - 4(2) \\ x =  - 8\\

7 0
3 years ago
I need to find the answer for "x" 2x + 3(5x - 7) =47
nordsb [41]

Answer:

The answer would be x=4.  

Step-by-step explanation: Step 1: Simplify both sides of the equation.

2x+3(5x−7)=47

2x+(3)(5x)+(3)(−7)=47(Distribute)

2x+15x+−21=47

(2x+15x)+(−21)=47(Combine Like Terms)

17x+−21=47

17x−21=47

Step 2: Add 21 to both sides.

17x−21+21=47+21

17x=68

Step 3: Divide both sides by 17.

17x/17=68

17x=68

x=4

4 0
3 years ago
Carlisle purchased one-fourth of a pound of candy at the mall. what decimal did he see on the scale
Yuri [45]
0.25000
..........
..........
6 0
3 years ago
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