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4 years ago

Write an equation for the function

Mathematics

1 answer:

Mila [183]4 years ago

8 0

Answer:

m(u) = -0.25(u +2)² +1 or -0.25u² -u

Step-by-step explanation:

The equation is fairly easily written in vertex form, as the vertex point is on a grid line intersection at (-2, 1). The parabola opens downward, so the scale factor is negative.

The vertical change from the vertex is only a fraction of a unit when u differs from the vertex by 1. It is 1 unit when u differs from the vertex by 2, so the magnitude of the vertical scale factor is 1/2² = 1/4.

Our equation will be of the form ...

m(u) = (vertical scale factor)(u - (horizontal vertex location))² + (vertical vertex location)

For this graph, the equation is ...

m(u) = -0.25(u +2)² +1

or, simplifying, we get ...

m(u) = -0.25u² -u

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Evaluate 5x² – 3x+2 for x = -3,<br> A. -52<br> B. 28<br> C. 38<br> D. 56

hoa [83]

Answer:

Step-by-step explanation:

We just plugin -3 for all the x values. We get: 5(-3)^2+-3(-3)+2.

(-3)^2=9, -3(-3)= 9 because it is the same as (-3)^2.

We get 5(9)+9+2=>45+11=>56=>D.

And no, that was not meant be an emoji.

7 0

4 years ago

Read 2 more answers

Examine the equation below. Use it to answer question 54.

sashaice [31]

D= it's is true because ox equals 3*2x

8 0

3 years ago

Help please. I don't really understand.

aev [14]

Ok. 1/4 is 9/36 . you do this by seeing what will give you 36 when you have a 4 . and 9/9 when you divided both you get 0.25.

again we have 4/9 and we see what we can put in to get another 36 , but we have a 9, so it’s 4. 4/9 x 4/4 = 16/36 when you divide this you them both you get 0.44 so they’re equivalent.

so 0.25 is less than 0.44

basically it’s saying 25<44

so 1/4 is less than 4/9

6 0

3 years ago

Someone pls help me before my dad goes nuts

Burka [1]

Answer:

if i remember correctly from 8th grade, a triangle the angles should add up to 180. x=31 z=104 y=45

Step-by-step explanation:

104 plus 31 plus 45 all adds up to 180.

3 0

3 years ago

The probability that an Oxnard University student is carrying a backpack is .70. If 10 students are observed at random, what is

Rus_ich [418]

Answer:

35.03% probability that fewer than 7 will be carrying backpacks

Step-by-step explanation:

For each student, there are only two possible outcomes. Either they are carrying a backpack, or they are not. The probability of a student carrying a backpack is independent from other students. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

The probability that an Oxnard University student is carrying a backpack is .70.

This means that $p = 0.7$

If 10 students are observed at random, what is the probability that fewer than 7 will be carrying backpacks

This is $P(X < 7)$ when $n = 10$ . So

$P(X < 7) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6)$

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{10,0}.(0.7)^{0}.(0.3)^{10} = 0.000006$

$P(X = 1) = C_{10,1}.(0.7)^{1}.(0.3)^{9} = 0.0001$

$P(X = 2) = C_{10,2}.(0.7)^{2}.(0.3)^{8} = 0.0014$

$P(X = 3) = C_{10,3}.(0.7)^{3}.(0.3)^{7} = 0.0090$

$P(X = 4) = C_{10,4}.(0.7)^{4}.(0.3)^{6} = 0.0368$

$P(X = 5) = C_{10,5}.(0.7)^{5}.(0.3)^{5} = 0.1029$

$P(X = 6) = C_{10,6}.(0.7)^{6}.(0.3)^{4} = 0.2001$

$P(X < 7) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) = 0.000006 + 0.0001 + 0.0014 + 0.0090 + 0.0368 + 0.1029 + 0.2001 = 0.3503$

35.03% probability that fewer than 7 will be carrying backpacks

4 0

4 years ago