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kow [346]
2 years ago
12

Determine whether a quadratic model exists for the set of values below. If​ so, write the model. f(0) = -4, f(3) = -19, f(-1) =

-11
Select the correct choice below​:

A) A quadratic model does exist. It is ​f(x)= ?
B) A quadratic model does not exist.
Mathematics
1 answer:
Vikentia [17]2 years ago
7 0

Answer:

  A) The model exists: f(x) = -3x^2 +4x -4

Step-by-step explanation:

A quadratic model will always exist for 3 given points, provided they are not on a line. In that case, a linear model is appropriate.

Here, the slope between -1 and 0 is positive, and the slope between 0 and 3 is negative. Thus, we know these points are not collinear, and a model must exist.

The model is most easily found using a quadratic regression tool. Such is shown in the attachment. It tells us that ...

  f(x) = -3x^2 +4x -4

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I dont know what to do for tis
kap26 [50]

Answer:

is this by any chance about simultaneous equations? If so,

Step-by-step explanation:

Step 1 is telling us to decide on whether x and y should be the unknown. For instance, you want x to be the unknown, so u solve for x.

Step 2 is telling us to write equations with x and y.

For example,

7x + 5y = 12

7x - 2y = 9

This may not be accurate but it is an equation.

Step 4 is telling us to check whether the solution is accurate or not. For instance, we say 7 is x. so we substitude 7 into the original equation to see whether the answer we found is correct.

For step 5, im not really sure.

hope this helps though???

5 0
2 years ago
What is the slope and y-intercept of y=4x+2
kaheart [24]

Answer:

slope: 4

y-intercept: 2

Step-by-step explanation:

We are given an equation, y = 4x + 2, and we are asked to find the slope and y-intercept of the line. Looking carefully, we can see that the equation is given to us in slope-intercept form.

Slope-intercept form is:

y = mx + b

where m is the slope and b is the by-intercept.

Knowing this, we can find that 4 is the slope of the line and 2 is the y-intercept.

I hope you find my answer and explanation to be helpful. Happy studying.

4 0
3 years ago
125^-1/3 integer or a​ fraction.
kenny6666 [7]
The fraction for ur problem would he since 12639 _< 782
6 0
2 years ago
The ratio of teachers needs to be 1:30. If there were 120 students, how many teachers would be needed?
mezya [45]

Answer:

4:120

Step-by-step explanation:

for 120 student they would be 4 teacher needed per 30 student

4:120

4 0
3 years ago
Slope Intercept form can someone please help me I am so confused
Andreyy89
You want to get familiar with what the slope-intercept form equation means. even though the discussion board covers some of this... slope-intercept is y = mx + b, and in it, x and y are a point on your graph (x, y), m is the slope, and b is your y-intercept. in word problems, any constant will typically be b.

but, really, to answer this word problem, you don't have to think so hard about y = mx + b. just read the problem and bring your information together:

"the venue will cost $1500 to rent for an evening"
"$25 per person"

so they only gave you two bits of information, and you just have to decide where they fit. if the venue costs $1500 for an evening, that's a fixed cost--the 1500 isn't going to go up or down depending on the number of people at the charity event. it stays. you're paying 1500 regardless, even if 2 people show up. because the discussion board states that b should represent your starting amount, you're automatically $1500 in the hole, because you have to spend that much to get the venue. you will, however, write it as a positive integer, because the question wants you to calculate the total cost, by my understanding--you're adding the cost of the people with the cost of the venue.

$25 is not a fixed amount. if it's $25 per person, then if 2 people come, it costs $50, if 3 people arrive, it costs $75. this cost is dependent upon the number of people, which you can call "x"

with that information, write any other equation you would for a word problem:

y = 25x + 1500

that's your equation, and it just so happens that this equation is in y = mx + b format. the x-value represents the number of people who show up for the charity; the y-value represents the overall cost.

and you need three solutions for this equation--which, luckily, is a quick and easy process!! choose an x-value and solve for y.

y = 25x + 1500

when x = 1...
y = 25(1) + 1500
y = 25 + 1500
y = 1525
ordered pair: (1, 1525)

when x = 2...
y = 25(2) + 1500
y = 50 + 1500
y = 1550
ordered pair: (2, 1550)

when x = 3...
y = 25(3) + 1500
y = 75 + 1500
y = 1575
ordered pair: (3, 1575)

i hope that helped!!
6 0
3 years ago
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