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2 years ago

Determine the equation of a parabola that intersects the x-axis at points (-2, 0) and (5, 0).

Mathematics

2 answers:

romanna [79]2 years ago

8 0

Answer:

The answer is B

Step-by-step explanation:

1) Since the roots are -2, and 5 we can write this

y=a(x+2)(x-5)

y=a(x²-5x+2x+10)

y=a(x²-3x -10)

2) Examining the options, we can see that all of those options have a=1

Then we can plug into that

y=a(x²-3x -10)

y=x² -3x -10

That's the same as

y=(x+2)(x-5) then its roots are x_1 =-2 , and x_2=5

SOVA2 [1]2 years ago

3 0

Answer:

B. y = x² - 3x - 10

Step-by-step explanation:

good luck, i hope this helps :)

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'Polonium-210 is a radioactive substance with a half-life of 138 days. If a nuclear

Tatiana [17]

Answer:

59.0891 g (rounded to 4 decimal places)

Explanation:

Half-life time of a radioactive substance is the time for half of the substance to decay.

Thus, the amount of the radioactive substance that remains after a number n of half-lives is given by:

$A=A_0\cdot (1/2)^n$

Where:

A is the amount that remains of the substance after n half-lives have elapses, and

A₀ is the starting amount of the substance.

In this problem, you have that the half-live for your sample (polonium-210) is 138 days and the number of days elapsed is 330 days. Thus, the number of half-lives elapsed is:

330 days / 138 days = 2.3913

Therefore, the amount of polonium-210 that will be left in 330 days is:

$A=310{g}\cdot (1/2)^{2.3913}=59.0891g$

5 0

3 years ago

6 An account pays

Sergio039 [100]

Answer: £122.4

Step-by-step explanation:

Given

The rate of interest is 4%

The principal invested is £1500

the time period is 2 years

Compound interest is given by

$C.I.=P(1+r\%)^t-P$

put values

$C.I.=1500(1+0.04)^2-1500\\C.I.=1500[1.04^2-1]\\C.I.=1500[1.0816-1]\\C.I.=1500\times 0.0816\\C.I.=122.4$

Therefore, interest earned is £122.4

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3 years ago

What powers of 3 are in the range of 1,oo due tommarow

ElenaW [278]

3 to the 1st is 3
3 to the 2nd is 9
3 to the 3rd is 27
3 to the 4th is 81
3 to the 5th is 243
3 to the 6th is 729

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3 years ago

10 points?...1) must be quick to answer,2) must be reasonable answer,3) Show explanation for your answer

Ilia_Sergeevich [38]

Your answer is
${x}^{2} \div {2} {z}^{9}$
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3 0

3 years ago

Can someone please help me on this question?

katovenus [111]

Answer:Hope this helps

6n=-3n-18

9n=-18

n=-2

3 0

2 years ago

Read 2 more answers