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zhenek [66]
3 years ago
11

One number is 4 times another number. if the sum of the two numbers is 200, find the numbers

Mathematics
1 answer:
Vilka [71]3 years ago
3 0

Answer:

50

Step-by-step explanation:

4 * 50 = 200

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What is the equation of the graph below?
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Answer:

B) y=-(x-3)^{2}+2

Step-by-step explanation:

We are given,

The graph of the parabola opens downwards.

This means that the leading co-efficient of the function will be negative.

So, options C and D are not possible.

Moreover, it is given that the graph cuts x-axis near 1\frac{1}{2} i.e. \frac{3}{2} = 1.5 and 4\frac{1}{2} i.e. \frac{9}{2} = 4.5.

i.e. At y=0, the value of x is near \frac{3}{2} and \frac{9}{2}.

A. So, in y=-(x+2)^{2}+2, we put y =0.

i.e. (x+2)^{2}=2

i.e. x=-2\pm \sqrt{2}

i.e. x = 0.68 and x = 3.41

We see that this does not crosses the x-axis at the given points.

So, option A is wrong.

B. Also, in y=-(x-3)^{2}+2, we put y =0.

i.e. (x-3)^{2}=2

i.e. x=3\pm \sqrt{2}

i.e. x = 1.68 and x = 4.41.

Thus, this equation cuts the x-axis near the given points i.e. 1.5 and 4.5.

Hence, the equation of the given graph is y=-(x-3)^{2}+2.

8 0
3 years ago
A train travels 1 kilometre in 1 minute 20 seconds. Picture of steam train Question prompt At this rate, how many kilometres wil
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Answer:

45km

Step-by-step explanation:

Distance covered in 1min 20sec (80sec) = 1km

Distance covered in 1 min (60sec) = 1km/80sec

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jek_recluse [69]

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12/20

Step-by-step explanation:

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she gets it for 88 40% of 220 is 88

Step-by-step explanation:

8 0
2 years ago
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IRISSAK [1]

Answer:

(2,-3)

Step-by-step explanation:

I used substitution and rearranged the second equation to y=-2x+1. Then I replaced the y in the first equation with -2x+1. So, I got 3x-5(-2x+1)=21. When you solve that you get 13x=26 or x=2. Then you replace x with 2 in either equation and end up with y=-3.

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4 years ago
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