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marusya05 [52]
2 years ago
11

Ava solved the compound inequality+7<-1 or 2x-129 for all possible values of x. Which graph represents

Mathematics
1 answer:
andre [41]2 years ago
4 0

Answer:

D

Step-by-step explanation:

To get the graph, we will need to solve each inequality differently

For the first one, we have that

x/4 < -1-7

x/4 < -8

x < -8 * 4

x < -32

For the second side;

2x-1 ≥ 9

2x ≥ 10

x ≥ 5

So we have two arrows facing different directions

On the left should be unshaded while the right hand side should be shaded

So, the correct answer here is the 4th option

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Compare the line passing through the points (−3, −11) and (6, 4) to the line given by the equation y=35x−6.
Aleks04 [339]
Let
<span>A------> (−3, −11)
B------>  (6, 4)

step 1
find the slope m point A and point B
m=(y2-y1)/(x2-x1)-----> </span>m=(4+11)/(6+3)----> m=15/9---> 5/3

step 2
with m=5/3 and point B (6, 4)  find the equation of a line
y-y1=m*(x-x1)-----> y-4=(5/3)*(x-6)---> y=(5/3)x-6

case <span>a. they have the same slope------> is not correct
because
</span><span>y=35x−6------> the slope m=35
</span>y=(5/3)x-6---> the slope m =5/3

case <span>b. they have the same x-intercept.----> is not correct
because
</span>the x-intercept is for y=0

y=35x−6-----> 0=35x-6----> 35x=6-----> x=6/35
the x-intercept is the point (6/35,0)

y=(5/3)x-6----> 0=(5/3)x-6----> (5/3)x=6---> x=18/5
the x-intercept is the point (18/5,0)

case <span>c. the two lines are perpendicular. do. they have the same y-intercept-----> is nor correct
because

if two lines are perpendicular
m1*m2=-1-------> </span><span>this condition is not satisfied
</span>
the y intercept is for x=0

y=35x−6-------> y=-6
the y intercept is the point (0,-6)

y=(5/3)x-6-----> y=-6
the y intercept is the point (0,-6)

 they have the same y-intercept but the two lines are not perpendicular

see the attached figure

7 0
3 years ago
Write a story, describe a situation, or invent a scenario that can be represented by a 2-step equation or inequality.
Elan Coil [88]

Answer:

Six friends spend $84 on dinner and split the bill evenly. Write a multiplication equation to solve how much each person paid. f=variable each person paid.

6f/6=84/6 f=14

Step-by-step explanation:

6f=84    

6/6f=84/6 cross out the sixes. Then, f=84/6. So, 84 divided by 6= 14. f=14. Each person paid $14.

YW!

4 0
3 years ago
X 20) Becca has 3 times more games than Susan has. Write an algebraic
vova2212 [387]

Answer:

3*x

Step-by-step explanation:

If Becca has 3 times the amount of games as Susan then you would multiply the number of games Susan has by 3. So we can use X (or another letter) to represent the number of games Susan has. Giving us 3*x  

7 0
3 years ago
Enter the correct answer pls help​
Phoenix [80]

Answer:

\huge\boxed{\sf x = 8a}

Step-by-step explanation:

\sf \frac{3}{a} x - 4 = 20\\\\Add \ 4 \ to \ both \ sides\\\\\frac{3}{a} x = 20+4\\\\\frac{3}{a} x = 24\\\\Multiply \ both \ sides \ by \ a\\\\3x = 24 * a\\\\Divide \ 3 \ to \ both \ sides\\\\x = 24a / 3\\\\x = 8a\\\\\rule[225]{225}{2}

Hope this helped!

<h3>~AH1807</h3>
4 0
3 years ago
Rewrite each of the following terms as an extended product. Consider carefully your order of operations and remember that expone
sergey [27]

The detailed explanation of the question is provided in the attached image.

Hope this helps :)

8 0
3 years ago
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