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Natali [406]
3 years ago
15

Determine an equation of a quadratic function with x intercepts of -3 and 5 that passes through the point A(4,-21)

Mathematics
1 answer:
erastova [34]3 years ago
4 0

Answer: y = 21x + -105 or y = 21x - 105


Step-by-step explanation:

Our equation is going to be in the format of y = mx+b, where m is the slope, and b is the y-intercept.

For this, you can find the slope by doing

(y₁-y₂)÷(x₁-x₂)

So we just sub in one of the x intercept points and the point that we already have, so let's do (-21-0)/(4-5). That is equal to 21, therefore, 21 is our slope.

So we have y = 21x + b, so now we can sub in one of our points for y and x in the equation. Let's do (4,-21).

-21 = 21(4) + b

-21 = 84 + b

-105 = b

So our equation is y = 21x + -105, meaning we have a slope of 21 and a y intercept of -105.


Edit: you can also do y = 21x - 105

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Which of the following choices is equivalent to 1 + 8(2x + 3)?
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Answer:

16x + 25

Step-by-step explanation:

First, distribute the 8 to both numbers within the parenthesis.

1 + 16x + 24

Then, add similar terms together.

16x + 25

8 0
2 years ago
What does the variable r represent in the equation 10r+4=8
Kryger [21]

Answer:

The value of variable r in the equation 10r+4=8 is \mathbf{r=0.4}

Step-by-step explanation:

We need to find the value of variable r in the equation 10r+4=8

Step 1: Write the equation

10r+4=8

Step 2: Subtract 4 on both sides

10r+4-4=8-4\\10r=4

Step 3: Divide both sides by 4

\frac{10r}{10}=\frac{4}{10}\\r=0.4

So, The value of variable r in the equation 10r+4=8 is \mathbf{r=0.4}

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2 years ago
Need help ASAP
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75

Step-by-step explanation:

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5. A bag contains 5 blue marbles, 4 yellow marbles and 1 red marble. What 1 point
Reptile [31]

Answer:

()

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Use nCr to figure this out, plug in the numbers and probabilities and solve

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2 years ago
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Assume that when adults with smartphones are randomly​ selected, 52​% use them in meetings or classes. If 14 adult smartphone us
emmasim [6.3K]

The probability that fewer than 4 of then use their smart phones in meetings  or classes is 0.00030243747.

Step-by-step explanation:

Fewer than 4 means ,less than 4 which is any number less than 4 and not including 4. This is 3, 2,1 and 0. So you find the probability that exactly 3 of then use their smart phone, exactly 2 of them use their smart phones, exactly 1 of them use his/her smart phone and none of them.

Given that 52% use smartphones in meetings and classes =0.52

Thus the remaining 48% do not use smartphones in meetings and classes=0.48

For C(14,3) you will have "14 chose 3", number of ways of choosing 3 out of 14'

=(0.52)³ *(0.48)⁹=0.00019018714

For C(14,2) you will have "14 chose 2", number of ways of choosing 2 out of 14

=(0.52)²*(0.48)¹²=0.00004044841

For C(14,1) you will have "14 chose 1", number of ways of choosing 1 out of 14

=(0.52)¹*(0.48)¹³=0.000037337

For  C(14,0) you will have "14 chose 0", number of ways of choosing 0 out of 14

=(0.52)⁰*(0.48)¹⁴=1*0.00003446492=0.00003446492

The probability that fewer than 4 of them use their smartphones in meetings or classes will be

0.00019018714 +0.00004044841+0.000037337+ 0.00003446492=0.00030243747

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  • Binomial random variable https://brainly.in/question/10088120

Keywords : Probability, random variable, binomial distribution

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