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Genrish500 [490]
3 years ago
5

In two or more complete sentences, compare the number of x-intercepts in the graph of f(t) = 12 to the number of x-

Mathematics
1 answer:
alina1380 [7]3 years ago
8 0

Answer:

Both functions have one x-intercept each.

Step-by-step explanation:

The first function is

f(t )=  {t}^{2}

This is a parabola with vertices at the origin and has one x-intercept at t=0.

The transformed function is

g(t) =  {(t + 3)}^{2}

The function g(t) is obtained by shifting the graph of f(t) to the left by 3 units.

This graph also has one x-intercept at x=-3.

Therefore both functions has the same number of x-intercepts

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How many liters of 60% alcohol solution should be added to 40 liters of a 20% alcohol solution to make a 50% solution?
kolbaska11 [484]

Answer:

120 liters of 60% alcohol solution is needed

Step-by-step explanation:

Let's assume

x liters of 60% alcohol solution  is added

so, we  get solution as

=\frac{60}{100}\times x

=0.6x

we are given

40 liters of a 20% alcohol solution is

=40\times\frac{20}{100}

=40\times\frac{20}{100}

=8

so, total alcohol solution is

=8+0.6x

now, we can find total solutions

total solutions is

=x+40

now, it is making 50% solution

so, we get

\frac{8+0.6x}{x+40} =\frac{50}{100}

now, we can solve for x

\left(8+0.6x\right)\cdot \:100=\left(x+40\right)\cdot \:50

800+60x=50x+2000

10x=1200

x=120

So,

120 liters of 60% alcohol solution is needed

4 0
2 years ago
Please please help!! and if you could show work too that would be amazing!!!
dimaraw [331]
First you would add the two angles together to get 105. The. you do 180-105 to get 75. That is the missing angle. From there you would correspond the angles with the sides. Therefore the answer is Angle AB, angle BC, angle CA. these are in order from shortest to longest
5 0
2 years ago
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Which triangle results from a reflection across the line x = 1?
taurus [48]

Answer:

d

Step-by-step explanation:

4 0
3 years ago
Help me please. I’m dying of frustration
KiRa [710]

I've answered this before, but only partially. I'm not sure about the second part, but I think the first one is 10

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2 years ago
Each number below is a factor of Miguel's number.
BabaBlast [244]
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