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eimsori [14]
2 years ago
5

Khloe has $460 to spend at a bicycle store for some new gear and biking outfits.

Mathematics
1 answer:
Kobotan [32]2 years ago
7 0

Answer:

0 ≤ 2

Step-by-step explanation:

I just did this one and got it right

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find an equation in the form y=ax^2+bx+c for the parabola passing through the points. (2,28),(4,116),(-3,88)
IgorC [24]
<h3>Answer:</h3>

y = 8x² -4x +4

<h3>Explanation:</h3>

I find it quick and easy to let a graphing calculator do quadratic regression on the given points. It gives the coefficients of the equation directly. (See attached.)

_____

If you want to do this "by hand," you can substitute each of the x and y value pairs into the equation to get three linear equations in a, b, and c. These are generally easy to solve, as the "c" variable can be eliminated right away.

<em>For x = 2</em>

... 28 = a·2² +b·2 +c = 4a +2b +c

<em>For x = 4</em>

... 116 = a·4² +4b +c = 16a +4b +c

<em>For x = -3</em>

... 88 = a·(-3)² +b·(-3) +c = 9a -3b +c

Subtracting the first and third equations from the second, we have ...

... (16a +4b +c) -(4a +2b +c) = (116) -(28) ⇒ 12a +2b = 88

... (16a +4b +c) -(9a -3b +c) = (116) -(88) ⇒ 7a +7b = 28

Dividing the first of these reduced equations by 2, and the second by 7, we have ...

  • 6a +b = 44
  • a +b = 4

Subtracting the second of these from the first gives ...

... (6a +b) -(a +b) = (44) -(4) ⇒ 5a = 40

From which we find

... a = 8

... b = 4 -a = 4 -8 = -4

We choose the first of the original equations to find c:

... c = 28 -4a -2b = 28 -4·8 -2(-4)

... = 28 -32 +8 = 4

With (a, b, c) = (8, -4, 4), the equation of the parabola is ...

... y = 8x² -4x +4

5 0
3 years ago
Four students are working in a group and are asked to find the length of BC. Which two students set up the problem correctly? Mo
Alika [10]
The best and the most correct answer among the choices provided by the question is the first choice. The two students that set up the problem correctly is <span> Moe: x = (5 - 1)2 + (1 - 4)2 and Jimmy: x2 = 32 + 42.</span> I hope my answer has come to your help. God bless and have a nice day ahead!
7 0
3 years ago
Read 2 more answers
A random sample of 64 second-graders in a certain school district are given a standardized mathematics skills test. The sample m
svet-max [94.6K]

Answer:

Given : The sample mean score is 51.48 .

            The standard deviation for the population of test scores is 15.

             The nationwide average score on this test is 50.

To Find :  Perform the hypothesis test and compute the P-value?

Solution:

Sample size = n = 64

Since n > 30

So, we will use z test over here

We are supposed to find The school superintendent wants to know whether the second-graders in her school district have greater math skills than the nationwide average.

Hypothesis : H_0:\mu \leq 50\\H_a:\mu>50

Formula of z test : z =\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}

x = 51.48\\\mu = 50\\\sigma = 15\\ n = 64

Substitute the values

z =\frac{51.48-50}{\frac{15}{\sqrt{64}}}

z =0.789

Find the value of P(z) from z table

p(z)=0.7823

Since we are given that we are supposed to find The school superintendent wants to know whether the second-graders in her school district have greater math skills than the nationwide average.

So, p value = 1-P(z)  = 1-0.7823=0.2177

In general , Level of significance is 0.05

So, p value is greater than alpha.

So, we accept the null hypothesis.

5 0
3 years ago
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What is the polynomial of f(x) of a degree of 3 that has the following zeros?
makvit [3.9K]

Answer:

Id

Step-by-step explanation:

8 0
3 years ago
Yellow Cab Taxi charges a $1.75 flat rate in addition to $0.65 per mile. Katie has no more than $10 to spend on a ride. How many
spayn [35]
About  miles. 

Subtract the flat rate of 1.75 from the spending limit of 10$ which leaves you with 8.25 then divide the rest of your spending money (8.25$) into your rate per mile (0.65) , so essentially , 8.25 / 0.65 which leaves you with the answer of ;
12 miles.
3 0
3 years ago
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