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kotegsom [21]
2 years ago
6

Graph y≤2x+3

Mathematics
1 answer:
sp2606 [1]2 years ago
3 0

Answer:

c

Step-by-step explanation:

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Solve the following equation: 4(x + 2) - 17 = 35<br> A: -11<br> B: 25/2<br> C: 15<br> D: 11
aalyn [17]

Answer:

D: 11

Step-by-step explanation:

4(x + 2) - 17 = 35

4x+8 - 17=35

4x-9=35

4x=35+9=44

x=44/4=11

5 0
2 years ago
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Indicate the equation of the line that is the perpendicular bisector of the segment with endpoints (4, 1) and (2, -5).
PtichkaEL [24]
Okay to find the perpendicular bisector of a segment you first need to find the slope of the reference segment.

m=(y2-y1)/(x2-x1) in this case:

m=(-5-1)/(2-4)

m=-6/-2

m=3

Now for the the bisector line to be perpendicular its slope must be the negative reciprocal of the reference segment, mathematically:

m1*m2=-1  in this case:

3m=-1

m=-1/3

So now we know that the slope is -1/3 we need to find the midpoint of the line segment that we are bisecting.  The midpoint is simply the average of the coordinates of the endpoints, mathematically:

mp=((x1+x2)/2, (y1+y2)/2), in this case:

mp=((4+2)/2, (1-5)/2)

mp=(6/2, -4/2)

mp=(3,-2)

So our bisector must pass through the midpoint, or (3,-2) and have a slope of -1/3 so we can say:

y=mx+b, where m=slope and b=y-intercept, and given what we know:

-2=(-1/3)3+b

-2=-3/3+b

-2=-1+b

-1=b

So now we have the complete equation of the perpendicular bisector...

y=-x/3-1 or more neatly in my opinion :P

y=(-x-3)/3
4 0
2 years ago
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Which expression is equal to five over radical 11
Anarel [89]
The solution to this is 5√(11)/11
3 0
3 years ago
a company that manufactures bicycles has a fixed cost of $80,000. it costs $100 to produce each bicycle. the total cost for the
frez [133]

C(x) = 80000 + 100x is the total cost as function of number of cycles produced

C(90) = 89000 and it costs $ 89000 to produce 90 bicycles

<em><u>Solution:</u></em>

Given that, company that manufactures bicycles has a fixed cost of $80,000

Fixed cost = $ 80,000

Let x be the number of cycles produced

Let C(x) be the total cost as function of number of cycles produced

It costs $100 to produce each bicycle

Variable cost = 100 x number of cycles produced

variable cost = 100x

The total cost for the company is the sum of its fixed cost and variable costs

total cost = fixed cost + variable cost

C(x) = 80000 + 100x

Thus total cost as function of "x" is found

<em><u>Find and interpret C(90)</u></em>

Substitute x = 90 in C(x)

C(90) = 80000 + 100(90)

C(90) = 80000 + 9000

C(90) = 89000

Thus it costs $ 89000 to produce 90 bicycles

3 0
2 years ago
HELP DUE IN 10 MINUTES WILL GIVE BRAINLEST!!
Pachacha [2.7K]

y-intercept: (0, 7)

x-intercept: (-\frac{7}{4},0)\\

5 0
2 years ago
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