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maxonik [38]
3 years ago
15

Which of the following inequalities matches the graph? (1 point)

Mathematics
1 answer:
Komok [63]3 years ago
6 0

Answer:

<h2>x≤5</h2>

Step-by-step explanation:

The line is vertical, so it is <em>on x</em>

the line is on <em>x=5</em>

the line is whole so it is less or greater than and equal to

the shaded part is to the left, so it is less than

So, the inequality represented by the graph is x≤5

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Angel paints three rooms with two gallons of paint. How many rooms can he paint with fifteen gallons of paint?​
Vanyuwa [196]

Answer:

22 rooms

Step-by-step explanation:

If two gallons of paint covers 3 rooms then you need to divide 15 gallons of paint by 2 gallons of paint = 7.5 gallons of paint. then you need to multiply 7.5 gallons of paint by 3 rooms = 22.5..... so that means you can paint 22 full rooms.

6 0
3 years ago
Determine the x and y intercepts <br><br> y = -x^2 + 6x - 8
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Y intercept is negative 8
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3 years ago
1) In Tara's math class, each student made up a number pattern for classmates to identify. These are the numbers that Tara wrote
pav-90 [236]

Answer:

TBH its a Link of this its call pdf and it tell yuu all your answer

Step-by-step explanation:

5 0
3 years ago
The length of my rectangular calculator lid is 11 mm more than the width. The area is 152 square
ser-zykov [4K]

Answer:

The dimensions of the lid are 8mm by 19mm.

w = 8

l = 19

Step-by-step explanation:

l=w+11\\l\times w=152

where l is length and w is width. This can be solved as a system of equations.

l\times w=152\\(w+11)\times w=152\\w(w+11)=152\\w^2+11w=152\\w^2+11w-152=0

At this point, it gets a little tough. I might be unnecessarily overcomplicating things, but this is the only way I see to solve the problem.

=================== Skip down below if you don't care about factoring

You need to factor the newly created trinomial.

ax^2+bx+c

With a trinomial in this form, you need to find 2 numbers that add together to make b and multiply together to make ac.

Here, we need 2 numbers that add to 11 and multiply to -152. First, factor 152:

1, 152

2, 76

4, 38

8, 19

Then the reverse of all of those is true too, of course:

19, 8

38, 4

etc

In our case, we're looking for -152, so one of our factors will be negative. We're also looking for factors that add up to 11. Looking at these factors, you can see that 19 - 8 = 11, so our factors are 19 and -8.

Finally, you can use those to factor our trinomial. Split up the middle number (11w) into two:

w^2+11w-152=0\\w^2-8w+19w-152=0

And now, you can factor by grouping:

w^2-8w+19w-152=0\\w(w-8)+19(w-8)=0\\(w+19)(w-8)=0

===================

Now that the number is factored, you can finally find w:

(w+19)(w-8)=0

Here, you can see that the equation will be true when w = -19 or w = 8. Those are our solutions, but we can't have a negative distance, so it's just

w=8

Going all the way back to the top, now you can use the width to find the length.

l=w+11\\l=8+11\\l=19

That one was much easier.

The dimensions of the lid are 8mm by 19mm.

Finally, check that with both of the original equations to make sure it's correct.

l=w+11\\19=8+11\\19=19\\\\l\times w=152\\19\times8=152\\152=152

4 0
2 years ago
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