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Korvikt [17]
3 years ago
13

Which of the following graphs represents the solution set for the inequali -35-2x +1 <11

Mathematics
1 answer:
OLga [1]3 years ago
3 0

Answer:

You did not give the options, so i just will graph it.

The inequality is:

-35 - 2*x + 1 < 11.

Now we would want to isolate the x in one side, so we can start by adding 35 in both sides.

(-35 -2*x + 1) + 35 < 11 + 35

-2x + 1 < 46

now we can subtract 1 in both sides:

-2x + 1 - 1 < 46 - 1

-2x < 45

Now we can divide by -2, remember that if we multiply or divide by a negative number, then the "direction" of the sign changes.

(-2x)/-2 > 45/-2

x > -22.5

Then the graph of the set is an open dot at the point x = -22.5 (this means that the set does not include this point) and a line that extends to the right. (Extends to the right because x is larger than -22.5)

Below is an example of how to draw the graph that represents the set of solutions.

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If the 10th of the 10 consecutive numbers is 10, what is their sum?
liq [111]
Represent these consecutive numbers (assuming that they are all integers):

x
x+1
x+2
x+3
x+4
x+5
and so on
x+8
x+9 is the tenth number.  x+9 = 10, so x = 9.

Think of it this way:  there are 10 consecutive numbers, and the last one is 10.

Working backwards, we get the sequence 10, 9, ... 3, 2, 1.

The sum of such an arith sequence is equal to the count of the numbers times the average of the first and last terms:

sum here = 10(1+10)/2 = 5(11) = 55          (answer)
7 0
3 years ago
What is the length of pr ? PLEASE HELP
Karolina [17]
The angles in the triangles are the same, so you know the triangles are similar. Sides PQ and AB correspond as do sides PR and AC. Because the triangles are similar, you know that
  PR/AC = PQ/AB
  PR/24 = 5/20
Multiplying this equation by 24 gives
  PR = 24*(5/20) = 6

The appropriate choice is ...
  C. 6
3 0
3 years ago
Read 2 more answers
Find the slope of the line which goes through the given points.<br> d<br> A(2,8) and B(2,6)
KATRIN_1 [288]

Answer:

Undefined

Step-by-step explanation:

A slope is found using the formula rise (change in y) over run (change in x). The change in x is 0, and the change in y is -2. The answer is -2/0, but dividing by 0 gives you undefined. Don't believe me? Look at the attached image.

Hope this helps!

7 0
3 years ago
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<img src="https://tex.z-dn.net/?f=%5C%5C%20%5Cleq%20%5Cbeta%20%5Calpha%20%5Calpha" id="TexFormula1" title="\\ \leq \beta \alpha
nadya68 [22]
Hi lol I don’t understand you’re question I need more context
8 0
3 years ago
Omas is making trail mix using granola and walnuts. He can spend a total of $12 on the ingredients. He buys 3 pounds of granola
Serga [27]

Answer:

Omas can buy 1 pound of walnuts.

Step-by-step explanation:

From the information given, you can say that the total cost would be equal to the result of multiplying the price per pound of granola for the number of pounds of granola plus the result of multiplying the price per pound of walnuts for the number of pounds of walnuts, which would be:

Total cost=2x+6y, where

x is the number of pounds of granola

y is the number of pounds of walnuts

Now, you can replace the values on the formula and solve for y:

12=(2*3)+6y

12=6+6y

6=6y

y=1

According to this, the answer is that Omas can buy 1 pound of walnuts.

4 0
3 years ago
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