Mathematics College

Use technology to determine an appropriate model of the data. (0,0), (1,3), (2,4), (3,3), (4,0)

f(x) = – x2 + 4x
f(x) = x2 - 4x
f(x) = - x2 + 4x - 1
f(x) = x2 - 4x + 1

Answers

Answer 1
A. 

Each of the ordered pairs satisfies the expression. 
Answer 2

Answer:

Option A.

Step-by-step explanation:

To determine an appropriate model of the data each data should satisfy the expression.

For function 1. f(x) = -x² + 4x

Now for each point

f(0) = 0 , f(1) = 3, f(3) = 3 and f(4) = 0

therefore the given points lie on the function.

For option 2

f(0) = 0, f(1) = -3, f(2) = -4, f(3) = -3 and f(4) = 0

Therefore points do not lie on the function.

For Option 3.

f(0) = -1, f(1) = 2, f(2) = 3, f(3) = 2 and f(4) = -1

Therefore the points do not satisfy the expression.

For option 4.

f(0) = 1, f(1) = -2, f(2) = -3, f(3) = -2 and f(4) = 1

Therefore, the points do not satisfy the expression.

Option A. is the correct option.

Related Questions

simplify: -7/3 - (-61/6)

Answers

-7/3-(-61/6) is basically -7/3+61/6. You multiply 7/3 by 2/2 to make the denominator 6. Without having to worry about the denominator, you could do -14+61 which equals 47.

Final Answer: 47/6
[tex] \frac{-7}{3}+ \frac{61}{6}= \frac{-14}{6}+ \frac{61}{6}= \frac{-14+61}{6}= \frac{47}{6}
Answer is=47/6[/tex]

Hope it helped you.

-Charlie

For 10 days in a row Fiona and Gary timed how long they brushed their teeth
Find the mean of each data set

Answers

(X (Fiona) + Y (Gary))/20 (10 days for each of them so it’s 20)

(x+y)/6

The mean or the average of a number is calculated by adding the frequencies of the given data and then dividing by the total frequency. It is represented by the formula mentioned under -

Mean = [tex] \frac{Sum of all the frequencies}{Number of frequencies} [/tex]

Similarly, here, we need to find the mean of their time spent in brushing.

It will be calculated as -

For Fiona

Mean of time spent in brushing = [tex] \frac{Sum of the total time spent in 10 days}{10 days} [/tex]

Similarly, for Gary

Mean of time spent in brushing = [tex] \frac{Sum of the total time spent in 10 days}{10 days} [/tex]

please help!!! trying to finish early

Answers

To solve this problem you must apply the proccedure shown below:

 The linear functions have the form y=mx+b

 where m is the slope and b is the y- intercept

 Therefore, you have:

 1) The slope -6/5 and b=(0,8) is:

 y=(6/5)x+8

 2) You have 3x-2y=1. Then, you only have to clear y:

 y=(3/2)x-1/2

hey can you please help me posted picture of question

Answers

The answer is B. Hope this was helpful.
Answer:
144

Explanation:
In the closet, we have:
6 pairs of pants
8 shirts
3 pairs of shoes

To know the number of possible combinations that could be made from the available objects, all we have to do is multiply all three numbers together.
Therefore:
possible outcomes = number of pants * number of shirts * number of shoes
possible outcomes = 6 * 8 * 3
possible outcomes = 144

This means that the tree diagram would have 144 leaves to represent all possible combinations.

Hope this helps :)

Scientists discovered a large star 400,000 light years from Earth.A light-year is about 5,880,000,000,000 miles.What is the distance of the large star from Earth in scientific notation?

Answers

So if you want to find the distance, you would take 400,000x5,880,000,000,000=
2.35200000E+18. So your answer would be 2.35200000E+18 in scientific notation it would be 2.35200000x10^18. I hope this helps!

What is the value of x? sin49°=cosx Enter your answer in the box.

Answers

we know that
if sin A=cos B
then 
angle A and angle B are complementary angles
A+B=90°

in this problem
sin49°=cosx
so
49°+x=90-------> x=90-49--------> x=41°

the answer is
x=41°

Answer:

[tex]x=41^o[/tex]

Step-by-step explanation:

We have been given an equation [tex]sin(49^o)=cos(x)[/tex] and we are asked to find the value of x.

Since we know that trigonometric ratios are applied to right triangles and we also know that [tex]sin(a)=cos(b)[/tex], where a and b are the angles other than 90 degree angle.

As one angle of our triangle is given 49 degrees, so to find the value of angle x we need to subtract 49 degrees from 90 degree angle as 49 degree angle and x will be equal to 90 degrees.

[tex]x=90^o-49^o[/tex]

[tex]x=41^o[/tex]

Therefore, the value of x is 41 degrees.

(a^3 / 4)^2
Simplify

Answers

Well, you can change this to (a^3/4)(a^3/4), which is equal to a^6/16, because a^3 times a^3=a^6, and 4 times 4=16.
I hope this helps!
-Raiden
Multiply the exponents in (a^3/4)^2 =a^3/2 simplified 





The measure of forecast error when the average absolute error of each forecast is shown as a percentage of demand is

Answers

The answer is:  "mean absolute percentage error {"MAPE"} .
_________________________________________________________

You invest $230 to start a sandwich stand and decide to charge $4.25 per sandwich. How much money will you make if you sell 75 sandwiches?

Answers

You should do 4.25*75= 318.75
So you'll make $318.75

We have been given that the cost to start the sandwich stand is $230.

Now, the cost of one sandwich is given by $4.25

Also, it has been given that total 75 sandwiches sold.

Thus, the cost of 75 sandwiches is given by

[tex]75 \times 4.25\\ \$ 318.75[/tex]

Now, the sandwich stand cost $230 and the earning in selling of 75 sandwiches is $ 318.75.

Therefore, the profit is given by

[tex]318.75-230 =\$88.75[/tex]

Hence, I can make $88.75 on selling of 75 sandwiches.

The Fermi process gives you an exact answer. You will be exactly right every time you figure it this way.

True
or
False

Answers

Answer: False

The Fermi Process is a fast way to calculate an estimate (usually done with mental math or math you can do on the back of an envelope or napkin). It's unlikely you'll get the exact answer, though you should be fairly close. To make the math more simple, rounding is done. 

Answer:

The correct answer is False

Step-by-step explanation:

I already took this test. I got it right.

Hope this helps! ;)

Jim is climbing a mountain that has a base 150 feet above sea level. If he climbs 233 feet then descends into a cave 64 feet, how far above sea level is Jim? A. 86feet, B. 169 feet, C. 214 feet, D. 319 feet.

Answers

we know that

1) Jim is climbing a mountain that has a base -----> 150 ft above sea level
2) He climbs 233 ft------------> 150 ft+233 ft----> 383 ft above sea level
3) He descends into a cave 64 ft------> 383 ft-64 ft----> 319 ft above sea level

the answer is
the option 
D. 319 feet.

Which distance measurement is the most precise?
A). 20.1 yards
B). 7 yards
C). 15.98 yards
D). 19 yards

Answers

Answer:

Step-by-step explanation:

Alright, lets get started.

The most precise measurement is,  the one which has most numbers after the decimal.

The number round off to hundred decimal place is more precise than the number round off to tenth decimal place.

There are 4 different numbers in which two numbers are complete number 7 and 19.

20.1 is rounded off to nearest tenth.

15.98 is rounded off to nearest hundred.

So, 15.98 yards is the most precise.   :   Option C

Hope it will help :)

Answer:

15.98 yards

Step-by-step explanation:

eliminate the parameter,t, in the parametric equation, x=6cos t, and y =3 sin t

Answers

To eliminate the parameter t in the parametric equations x = 6 cos t and y = 3 sin t, we can use the trigonometric identity

cos⁡²t + sin⁡²t = 1cos²t + sin²t = 1.

Starting with x=6 cos t, we can rewrite it as cos t=x6​ and from y=3 sin t, we can rewrite it as sin t = (y/3)​.

Now, we square both equations:

(cos t)² = (x/6​)²

(sin t)² = (y/3​)²

As soon as we multiply both sides by 36, we arrive at:

x² + 4y² = 36

Therefore, the equation x² + 4y² = 36 is the Cartesian equation that eliminates the parameter t from the given parametric equations.

To eliminate the parameter t in the parametric equations x=6 cos t and y=3 sin t, we use trigonometric identities.

From x=6 cost, we get cos t = x//6​, and from y = 3 sin t, we get sin t = (y/3).

Squaring both equations and using the identity cos2t+sin2t=1 we obtain (x/6​)² + (y/3​)² = 1. Simplifying, we get (x²/36) + (y²/9) = 1 which, after multiplying by 36, becomes x² + 4y² = 36. Thus x² + 4y² = 36 is the Cartesian equation eliminating the parameter t.

Complete Question:

Eliminate the parameter, t, in the parametric equation, x=6 cos t, and y =3 sin t.

5 Stars and Brainliest to correct answer

Answers

At θ = 90°, the equation must evaluate to zero. The only one that does that is the 1st choice ...
  r = 2 - 2sin(θ)

HELP ASAP! Which figure shows how a shape can be rotated about an axis to form the given object?

Answers

bottom right - took test

Answer:

Option D.

Step-by-step explanation:

To find the answer we will analyse each options.

Option A.

If we rotate a semicircle by a vertical axis then an sphere will be formed. Therefore this option is not correct.

Option B.

In this rotation we will get a hollow sphere, so this option is also not correct.

Option C.

By rotation of a strip we will find the shape similar to the given object but there will not be a hole at the center. Therefore, the option is not correct.

Option D.

When we rotate this strip with a distance from vertical axis, we will find the same shape as given in the picture.

Option D is the correct option.

Concerned about graffiti, mayors of nine suburban communities instituted a citizen community watch program. community monthly incidents after monthly incidents before burr oak 2 7 elgin corners 3 2 elm grove 6 2 greenburg 4 3 huntley 5 11 north lyman 3 9 south lyman 3 5 pin oak 5 7 victorville 2 3 click here for the excel data file (a) choose the appropriate hypotheses to see whether the number of graffiti incidents declined. assume μd is the mean difference in graffiti incidents before and after.

Answers

This is a problem on hypothesis testing on the difference of two dependent means. To solve for this one, the difference for each pair should be solved. 

After it, the mean and standard deviation of the differences should also be calculated.  Then, we state the null and alternative hypotheses. 

The null hypothesis is  [tex]H_{0}: \mu_d=0[/tex]
The alternative hypothesis is  [tex]H_a: \mu_d\ \textgreater \ 0[/tex]

These are the required hypotheses to see whether the number of graffiti incidents declined. 
In order to be clear, the data are reported in the picture attached.

The null hypothesis H₀ represents what is believed true if the data don't prove the opposite.
The alternative hypothesis H₁ is the conclusion we want to deduce from the test.

If we call d the difference in graffiti before (B) and after (A) (pay attention to the order) d = B - A.
We want to prove that the incidents are declined, therefore B should be greater than A and d would be positive.

Therefore:
H₀ : μd ≤ 0
H₁ : μd > 0 

Find the work done by the force field f(x,y,z)=3xi+3yj+7kf(x,y,z)=3xi+3yj+7k on a particle that moves along the helix r(t)=3cos(t)i+3sin(t)j+3tk,0≤t≤2π

Answers

Call the path [tex]\mathcal C[/tex]. Then the work done by [tex]\mathbf f(x,y,z)[/tex] along [tex]\mathcal C[/tex] is given by the line integral,[tex]\displaystyle\int_{\mathcal C}\mathbf f(x,y,z)\cdot\mathrm d\mathbf r=\int_{t=0}^{t=2\pi}\mathbf f(x(t),y(t),z(t))\cdot\dfrac{\mathrm d\mathbf r}{\mathrm dt}\,\mathrm dt[/tex]
Swapping the [tex]\mathbf{ijk}[/tex] notation out for ordered component notation, I'll write
[tex]\mathbf r(t)=(x(t),y(t),z(t))=(3\cos t,3\sin t,3t)[/tex]
so that
[tex]\dfrac{\mathrm d\mathbf r}{\mathrm dt}=(-3\sin t,3\cos t,3)[/tex]
The line integral reduces to[tex]\displaystyle\int_0^1(9\cos t,9\sin t,7)\cdot(-3\sin t,3\cos t,3)\,\mathrm dt[/tex][tex]=\displaystyle\int_0^1(-27\cos t\sin t+27\sin t\cos t+21)\,\mathrm dt[/tex][tex]=\displaystyle21\int_0^1\mathrm dt=21[/tex]

The graph represents f(x), and g(x) = 7x – 42.

Which statement about these functions is true?

A) The y-intercept of g(x) is less than the y-intercept of f(x).
B) The y-intercept of g(x) is greater than the y-intercept of f(x).
C) The x-intercept of g(x) is less than the x-intercept of f(x).
D) The x-intercept of g(x) is greater than the x-intercept of f(x).

Answers

[tex]g(x)=7x-42\\\\\y-intercept\ of\ g(x):\\\\f(0)=7\cdot0-42=-42\to(0;\ -42)\\\\x-intercept\ of\ g(x):\\\\0=7x-42\ \ \ \ |+42\\7x=42\ \ \ |:7\\x=6\to(6;\ 0)[/tex]

[tex]f(x)=ax+b\\\\y-intercept\ of\ f(x):\ (0;\ -3)\\\\x-intercept\ of\ f(x):\ (6;\ 0)[/tex]

Answer:

A) the y-intercept of g(x) is less than the y-intercept of f(x).


The probability that it will snow on Friday is 70%, and the probability that it will snow on Saturday is 50%.

What is the probability that it will snow on both days? Express your answer as a decimal rounded to the nearest hundredth.

What is the probability that it will not snow on either day? Express your answer as a decimal rounded to the nearest hundredth.

Answers

P(Snow Friday) = 0.7, P(No Snow Friday) = 1-0.7 = 0.3
P(Snow Saturday) = 0.3, P(No snow Saturday) = 1-0.3 = 0.7

Then,
P(Snow Friday) and P(Snow Saturday) = 0.7*0.3 = 0.21

P(No snow Friday) and P(No snow Saturday) = 0.3*0.7 = 0.21


1/7-3(3/7n-2/7) in simplest form

Answers

1/7 -3(3/7n -2/7)
=1/7 -9/7n +6/7
=(n-9+6n) /7n
=(7n-9) /7n
=1-9/7n

1/7-3(3/7n-2/7) in simplest form

[tex]\frac{1}{7} -3(\frac{3}{7}n-\frac{2}{7}) \\\\ Using \;Distributive \;property \\\\ =\frac{1}{7} -(3)\frac{3}{7}n-(-3)\frac{2}{7} \\\\ Multiplication \\\\ =\frac{1}{7} -\frac{3*3}{7}n+\frac{3*2}{7} \\\\ =\frac{1}{7} -\frac{9}{7}n+\frac{6}{7} \\\\ Combining \;terms \;with \;common \;denominator \\\\ =\frac{1-9n+6}{7} \\\\ Combining \;like \;terms \\\\ =\frac{7-9n}{7} \\\\ Simplification \\\\ =\frac{7}{7} -\frac{9n}{7} \\\\ =1 -\frac{9n}{7}[/tex]

Hence, final answer is [tex]\frac{7-9n}{7}[/tex] or [tex]1 -\frac{9n}{7}[/tex].

Suppose sarah is trying to design a metal box (a rectangular prism), which will hold 200 cubic centimeters of liquid. the length of the box must be 4 times as large as the width.

Answers

volume = length * width * height = lwh (measured in cubic units)
so 2000 cm^3 = lwh
we know that l = 4w so sub that into the equation
2000 = (4w)*w*h
2000 = 4w^2*h

You didn't include the rest of the question so this is as far as i can go.

Y=-6x-5 x and y intercept form

Answers

y = -6x - 5

y intercept = -5

Now solve for x.
y = -6x - 5
-6x = y + 5
x = -1/6y - 5/6

x intercept = -5/6
i think you mean standard form y+6x=-5

Tony is making small bags of bird seed from a larger bag of bird seed that wieghs 11.6 pounds if he puts the same amount in each of 6 bags how much will each bag wiegh?

Answers

For this case we have the following division:
 Weight each bag = Total weight / number of bags
 Substituting values we have:
 Weight each bag = (11.6) / (6)
 Weight each bag = 1.933333333 pounds
 Answer:
 each bag will wiegh about:
 1.933333333 pounds

Clem Colfax had $10 to buy groceries. He needed milk costing 70 cents a carton, bread costing 60 cents a loaf, breakfast cereal costing 50 cents a box, and meat costing $1.50 a pound. He bought twice as many cartons of milk as he did loaves of bread, the number of boxes of cereal was one more than the number of loaves of bread, and the number of pounds of meat was the same as the number of boxes of cereal. How many of each did he buy if the total he spent was exactly $10?

Answers

The first thing we must do for this case is to define variables:
 w: pounds of meat
 x: carton of milk
 y: loaf of bread
 z: cereal breakfast box
 We write the system of equations:
 0.70x + 0.60y + 0.50z + 1.50w = 10
 x = 2y
 z = y + 1
 w = z
 Solving the system we have:
 w = 3
 x = 4
 y = 2
 z = 3
 Answer:
 3 pounds of meat
 4 cartons of milk
 2 loaves of bread
 3 boxes of breakfast cereal

Ginger is filing her federal income tax return with the 1040EZ form, and she received two W-2 forms, with the federal income tax withheld on one being $4530, and the federal income tax withheld on the other being $540. If Ginger received a Making Work Pay credit of $400, and if lines 9a and 9b in the Payments, Credits, and Tax section below are $0, what should she enter on line 10?
A. $4670
B. $4930
C. $5470
D. $5070

Answers

The answer is C. 5470

Answer - C

Add 4530 + 540 + 400 = 5470

You spend $77 shopping. You buy some shirts at $12 each, and spend $5 on food. How many shirts did you buy?
A.
5x + 12 = 77
B.
x(12 + 5) = 77
C.
12x + 5 = 77
D.
12*5+x=77

Answers

Fam I'm ganna say the answer is C✌
In order to find this out,, we need to know that $12 is the changing number. This number depends on how many shirts were bought,, so we must put this with x. We also know that $5 is our constant (does not change) and we spent a total of $77 so our equation should equal to 77. This means that our equation should look like the following:
12x + 5 = 77
This means that the correct answer to your question is going to be option C.
Let me know if you have any further questions.
:)

Line m has a slope of -1 over 5. What is the slope of a line that is perpendicular to line m?

Answers

If slopeof a line = -1/5, then the line perpendicular to that line has the opposite inverse slope. 

The line perpendicular to a line with slope = -1/5 has a slope of 5.

Suppose that a large number of samples are taken from a population. Which of the following sample sizes will be most likely to result in the sample proportion distribution having the largest standard deviation?

Answers

If you use a large enough statistical sample size, you can apply the Central Limit Theorem (CLT) to a sample proportion for categorical data to find its sampling distribution. The population proportion, p, is the proportion of individuals in the population who have a certain characteristic of interest (for example, the proportion of all Americans who are registered voters, or the proportion of all teenagers who own cellphones). The sample proportion, denoted

Answer:

Whatever the lowest value answer choice is will be the correct answer.

Step-by-step explanation:

Say your answer choices are

A.  56

B.  42

C.  70

D.  84

The correct answer would be 42

the height of triangle is 8 meters less than its base. if the area of the triangle is 212.5 square meters, find the length of its bas and heiight.

Answers

If
b = length of base in meters, then
h = (b-8) m

Area of a triangle, A = (1/2)bh

Therefore,
212.5 = (1/2)(b)(b-8) = (1/2)(b^2-8b)
425 = b^2-8b
b^2 - 8b -425 =0
Solving the resulting quadratic equation;
b = [8+/- Sqrt [8^2 - 4(1)(-425)]]/2(1) = 4+/- 21 = 4+21 = 25 m (ignore negative value as it is not applicable)
Then,
h = b-8 = 25 - 8 = 17 m

Therefore,
Base = 25 m
Height = 17 m

Final answer:

The base of the triangle is 25 meters, and the height is 17 meters. This was calculated using the area formula for a triangle and by solving the resulting quadratic equation by using the quadratic formula.

Explanation:

The area of a triangle is given by the formula 1/2 × base × height. Given that the area is 212.5 square meters and the height is 8 meters less than the base, let's call the base 'b' and the height will then be 'b - 8'. Using the area formula:

Area = 1/2 × base × height

212.5 = 1/2 × b × (b - 8)

Multiplying both sides by 2 to get rid of the 1/2 gives:

425 = b × (b - 8)

Now we have a quadratic equation in the form of:

b² - 8b - 425 = 0

We can solve this equation by factoring or using the quadratic formula. In this case, the equation doesn't factor neatly, so we use the quadratic formula:

b = (-(-8) ± √((-8)² - 4 × 1 × (-425)))/(2 × 1)

b = (8 ± √(64 + 1700))/2

b = (8 ± √(1764))/2

b = (8 ± 42)/2

Since the base cannot be negative, we take the positive root:

b = (8 + 42)/2

b = 25 meters

Therefore, the base of the triangle is 25 meters and the height is b - 8 = 25 - 8 = 17 meters.

What is the volume of the cylinder below? Radius of 8 height of 3

Answers

Volume = pi times r^2 times height.
So 3.14x8^2x3
8^2 (8 squared=64)
So the answer is 3.14x64x3 which equals 602.88


ANSWER

The volume of the cylinder is

[tex]V= 602.88 \: square \: units[/tex]

EXPLANATION

The formula for calculating the volume of a cylinder is,

[tex]V = \pi \: {r}^{2} h[/tex]

Where

[tex]r = 8[/tex]
is the radius of the cylinder and

[tex]h = 3[/tex]

is the height of the cylinder.

Also we use the approximate value for π which is
[tex]3.14[/tex]



We substitute the above values into the formula to get


[tex]V = 3.14\times {8}^{2} \times 3[/tex]


[tex]V =3.14\times 64 \times 3[/tex]

[tex]V = 602.88 \: square \: units[/tex]


Hence the volume of the cylinder is 602.88 square units.
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