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Levart [38]
3 years ago
5

Who's is the solution set of the compound inequality 3.5x-10>-3 and 8x-9<39

Mathematics
2 answers:
katrin2010 [14]3 years ago
7 0
3.5x - 10 > - 3
3.5x > 7
x > 2

8x - 9 < 39
8x < 48
x < 6

x > 2 and x < 6
Hope it helped!!
velikii [3]3 years ago
4 0
3.5x-10>-3  add 10 to both sides

3.5x>7  divide both sides by 3.5

x>2

... now for the other inequality:

8x-9<39  add 9 to both sides

8x<48  divide both sides by 3

x<6

So we have x>2 and x<6, so the compound inequality is:

2<x<6  and this means that the solution set is:

x=(2, 6)
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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
Estimate how many times larger 4 x 10^15 is than 19 x 10^12.
chubhunter [2.5K]
Whats the answer

i am working on the same test right now

4 0
3 years ago
Which is an incorrect rounding for 53.864?<br><br> 54<br> 53.87<br> 50<br> 53.9
Semenov [28]

Answer: 50

Step-by-step explanation:

4 0
2 years ago
24=3y<br><img src="https://tex.z-dn.net/?f=24%20%3D%203y%20" id="TexFormula1" title="24 = 3y " alt="24 = 3y " align="absmiddle"
Norma-Jean [14]

\bf 24=3y\implies \cfrac{24}{3}=y\implies 8=y

3 0
3 years ago
Read 2 more answers
The recursive rule for a sequence is shown. an=an−1+6 a1=39 What is the explicit rule for this sequence? an=33n+6 an=33n−6 an=6n
Andrej [43]

Given that, a_{1} = 39

We will find the second term a_{2}a_{2} = a_{1} + 6 = 39 + 6 = 45

Similarly,

a_{3} = 45 + 6 = 51

Now we use the option checking method,

Suppose we check 4th option

a_{n}= 6n + 33

for n=1

a_{1} = 6(1) + 33 = 39

a_{2}  = 6(2) + 33 = 12 + 33 = 45a_{3}  = 6(3) + 33 = 18 + 33 = 51

It means option D is correct

4 0
3 years ago
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