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mars1129 [50]
4 years ago
11

Create a quadratic polynomial function f(x) and a linear binomial in the form (x − a).

Mathematics
1 answer:
Tamiku [17]4 years ago
3 0
Our quadratic polynomial function is:

f(x) = 4x^2 + 2x + 5

our linear binomial form is:
x - a = -2
hence:
a = x + 2

and so we have:
f(x) = 4x^2 + 2x + 5
f(a) = 4(x + 2)^2 + 2<span>(x + 2)</span> + 5
= 4(x^2 + 4x + 4) + 2x + 4 + 5
f(a) = 4x^2 + 18x + 25

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I need help ASAP will reward a lot of points and mark BRAINLIEST
alex41 [277]

11 is b because the bottom needs to be 5 to dived the amount by 5 minutes and the top is the amount of words she types in 5 minutes

8 0
3 years ago
The graph represents this system of equations.
bonufazy [111]

Answer:

The answer to your question is (1, -2)

Step-by-step explanation:

See the graph below, in the graph, the solution is circled (1, -2). The solution is the point where the lines cross.

To check the answer, let's solve the system using algebra.

                                    y = 2x - 4

                                    y = 1 - 3x

                                  2x - 4 = 1 - 3x

                                  2x + 3x = 1 + 4

                                          5x = 5

                                            x = 5/5

                                            x = 1

Find y by substitution

                                   y = 2(1) - 4

                                   y = 2 - 4

                                   y = -2

Solution

                                    (1, -2)            

5 0
3 years ago
A friend who works in a big city owns two cars, one small and one large. One-quarter of the time he drives the small car to work
lubasha [3.4K]

Answer:

The probability that he drove the small car is 0.318.

Step-by-step explanation:

We are given that a friend who works in a big city owns two cars, one small and one large. One-quarter of the time he drives the small car to work, and three-quarters of the time he takes the large car.

If he takes the small car, he usually has little trouble parking and so is at work on time with probability 0.7. If he takes the large car, he is on time to work with probability 0.5.

Let the Probability that he drives the small car = P(S) = \frac{1}{4} = 0.25

Probability that he drives the large car = P(L) = \frac{3}{4} = 0.75

Also, let WT = event that he is at work on time

So, Probability that he is at work on time given that he takes the small car = P(WT / S) = 0.7

Probability that he is at work on time given that he takes the large car = P(WT / L) = 0.5

Now, given that he was at work on time on a particular morning, the probability that he drove the small car is given by = P(S / WT)

We will use the concept of Bayes' Theorem for calculating above probability;

So,    P(S / WT)  =  \frac{P(S) \times P(WT/S)}{P(S) \times P(WT/S)+P(L) \times P(WT/L)}

                          =  \frac{0.25 \times 0.7}{0.25 \times 0.7+0.75 \times 0.5}

                          =  \frac{0.175}{0.55}

                          =  <u>0.318</u>

Hence, the required probability is 0.318.

8 0
3 years ago
Complete the point - slope equation of the line through (-8,8) and (1,10)
abruzzese [7]

Answer:

y=2/9 x+ 88/9

hope this helps, if so hit that thanks button ;D

Step-by-step explanation:


5 0
3 years ago
It took 48 minutes to drive downtown An app estimated it would be less than that If the error was 20% what was the apps estimate
Zina [86]

Answer:

<em>The app's estimate was 38.4 minutes.</em>

Step-by-step explanation:

Suppose, the app's estimated time was t minutes.

Given that, it took 48 minutes to drive downtown. So, <u>the error in estimated time by the app</u> =(48-t) minutes.

It is also given that the error was 20%. So, <u>the amount of error</u> = (48*0.20)=9.6 minutes.

Thus, the equation will be......

48-t= 9.6\\ \\ -t=9.6-48\\ \\ -t=-38.4\\ \\ t= 38.4

So, the app's estimate was 38.4 minutes.

5 0
3 years ago
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