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kirill [66]
3 years ago
9

Which numbers belong to the solution set of the inequality x/8 <-10

Mathematics
1 answer:
dimulka [17.4K]3 years ago
7 0
X/8 < -10...multiply by 8
x < -10(8)
x < -80

so all numbers less then -80 are solutions..notice that I said less then...so -80 does not count.....it would be -81,-82,-83,.......and so on. Dont forget...with negative numbers...the larger the number, the smaller it is.
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F(x)=3x+2 and g(x)=-2x-4, find h(x) = f(x)-g(x)
elena-14-01-66 [18.8K]

Answer:

5x-2

Step-by-step explanation:

Since f(x)-g(x) you take 3x+2 and subtract -2x-4.

3x+2+2x-4

5x-2

6 0
3 years ago
How do I find the slope if a line when y=4x+5
DaniilM [7]

Answer:

slope =4

Step-by-step explanation:

The slope intercept equation of a line is written in the form

y= mx+b

where m is the slope and b is the y intercept.

Since y =4x+5 is written is this form, we can see that 4 is the slope and 5 is the y intercept

3 0
3 years ago
7 1/2 sticks of butter are needed to make 5 cakes. How much butter is needed to make one cake?
LenaWriter [7]

Answer:

1 1/2

Step-by-step explanation:

because when you divide 7.5 by 5 you get 1.5

8 0
3 years ago
Read 2 more answers
By how much does the dependent variable change in response to a change of 1 unit of the independent variable?
dalvyx [7]

Answer: C) 5

--------------

x = independent variable, y = dependent variable

Assuming this is a linear function, each increase of x by 2 leads to y going up by 10. So 10/2 = 5 is the unit increase each time x bumps up by 1.

-------------------

An alternative is to use the slope formula to get

m = (y2 - y1)/(x2 - x1)

m = (25 - 15)/(4 - 2)

m = 10/2 <--- this expression shows up again

m = 5 <---- leading to the same answer as before

So we see that the slope formula is a more drawn out method to finding the answer.

6 0
3 years ago
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Sphinxa [80]

Answer:

10.29 u

Step-by-step explanation:

<u>Given :- </u>

  • Two points (7,4) and (-2,9) is given to us.

And we need to find out the distance between the two points . So , here we can use the distance formula to find out the distance. As,

:\implies D = √{(x2-x1)² + (y2-y1)²}

:\implies D =√[ (7+2)² +(9-4)²]

:\implies D =√[ 9² +5²]

:\implies D =√[ 81 +25]

:\implies D = 10.29

<h3>Hence the distance between the two points is 10.29 units .</h3>
8 0
3 years ago
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