Which function is a quadratic function? u(x) = –x 3x2 – 8 v(x) = 2x2 8x3 9x y(x) = x2 3x5 4 z(x) = 7x2 2x3 – 3.

Answers

Answer 1

The function [tex]u(x)=-x+3x^{2} -8[/tex] is a quadratic function due to the highest exponent being 2.

Given functions are:

[tex]u(x)=-x+3x^{2} -8[/tex]

[tex]v(x)=2x^{2} +8x^3+9x[/tex]

[tex]y(x)=x^{2} +3x^5+4[/tex]

[tex]z(x) =7x^{2} +2x^3-3[/tex]

What is a quadratic function?

A function of the form [tex]f(x)=ax^{2} +bx+c[/tex] with [tex]a\neq 0[/tex] is called a quadratic function means the highest exponent of polynomial should be 2.

Let us check one by one.

[tex]u(x)=-x+3x^{2} -8[/tex]

Highest exponent =2

The function is also of form [tex]f(x)=ax^{2} +bx+c[/tex] so u(x) is a quadratic function.

The functions v(x), y(x), and z(x) are having highest exponents as 3,5, and 3 respectively so they are not quadratic functions.

Hence, the function [tex]u(x)=-x+3x^{2} -8[/tex] is a quadratic function due to the highest exponent being 2.

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Related Questions

[tex]\sqrt{180}=a\sqrt{b}[/tex]
please help

Answers

the answer is 6 square root 5

Find the side labeled x.

Answers

Answer:

4√3

Step-by-step explanation:

Hello!

This is a 30° 60° 90° because it has a 90° angle, a 30° angle, and the missing angle is 60° (sum of angles in a triangle is 180°). This triangle has special properties.

In a 30°-60°-90° triangle, the leg opposite 30° is always half the hypotenuse.

This means that the hypotenuse would be 2 times 4, or 8.

The leg opposite to 60° in a right triangle of this sort is the length of a leg multiplied by √3.

So the measure of x is 4√3.

An image is attached for your reference.

The value of side labeled x using Trigonometric ratio is  [tex]{4}{\sqrt 3}[/tex].unit.

Given:

Angle = 30

Perpendicular or opposite side= 4

Using Trigonometric ratio

tan 30 = Opposite side / Adjacent side

Substituting Opposite side= 4 and Adjacent side = 4 in above ratio

So, tan 30 = 4 / x

As, the value of tan 30 = [tex]\dfrac{1}{\sqrt 3}[/tex] then

tan 30 = 4 / x

[tex]\dfrac{1}{\sqrt 3}[/tex]  = [tex]\dfrac{4}{x}[/tex]

solving for x

x = [tex]{4}{\sqrt 3}[/tex]

Thus, the value of x is [tex]{4}{\sqrt 3}[/tex].

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The enrollment at Allenton High School is expected to decrease by 5% each year.
There are currently 720 students at the high school. The following function can be used to approximate the
number of students who will be enrolled at Allenton High School in tyears from now.
ald) = 720(1 – 0.05)
A. In how many years will the high school have approximately 450 students?
Round your solution to the nearest hundredth of a year. Show your work.

Answers

Answer:

around 8 or 9 years

Step-by-step explanation:

Which of the following is an expression
A. 7x = 4
B. 7 = x = 4
C. 7 - x
D. 7n - 3 = 32

Answers

Answer:

c 7-x

Step-by-step explanation:

this is due today! please help and i will give 50 points

Answers

Answer:

D)  154 ft²

Step-by-step explanation:

Formula

Area of a rectangle = width x length

We only need to calculate the area of the walls.

There are two pairs of walls with the following dimensions:

5 ft x 7 ft6 ft x 7 ft

Therefore, area to paint = 2(5 x 7) + 2(6 x 7)

                                        = 70 + 84

                                        = 154 ft²

Bottom cube 's LSA need to be counted

H=7ftL=6B=5

LSA:

2H(L+B)2(7)(5+6)14(11)154ft²

Can someone help me pls

Answers

Answer:

The angle of KLM is 50°

Step-by-step explanation:

Used protractor

Answer:

∠ KLM ≈ 33.7°

Step-by-step explanation:

using Pythagoras' identity in right triangle JKM

KM²  = JK² + JM² = 7² + 4.5² = 49 + 20.25 = 69.25 ( take square root of both sides )

KM = [tex]\sqrt{69.25}[/tex] ≈ 8.322 cm

using the sine ratio in right triangle KLM

sin KLM = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{KM}{LM}[/tex] = [tex]\frac{8.322}{15}[/tex] , then

∠ KLM = [tex]sin^{-1}[/tex] ( [tex]\frac{8.322}{15}[/tex] ) ≈ 33.7° ( to 3 significant figures )

A ________ is a set of points that extends infinitely in both directions.

Answers

Answer:

line

Step-by-step explanation:

A line is a set of points that extends infinitely in both directions.

It is now 11:15 A.M. What time will it be in three quarters of an hour?

A) noon

B) 11:45 A.M.

C) 11:45 P.M.

D) midnigh

Answers

Answer:

Ur mom

Step-by-step explanation:

Ur mom JK here's the answer 11:45 A.M. because 15 + 15 + 15 = 45 15 is a quarter so yeah Bois is 11:45 A.M Good luck

line d has a slope of 7/3. line e is perpendicular to line d. what is the slope of line e?

Answers

hello!

Perpendicular lines have slopes that are opposite reciprocals.

This means we take a number, flop it over, and change its sign.

Here we have the number:-

[tex]\boxed{\frac{7}{3}}[/tex]

Flop it over:-

[tex]\boxed{\frac{3}{7} }\longleftarrow\sf{the~numerator~and~denominator~switch~places}[/tex]

Change its sign:-

[tex]\boxed{-\frac{3}{7}}[/tex]

Hence, the slope of line e is:-

[tex]\bigstar{\boxed{\pmb{Slope=-\frac{3}{7}}}}[/tex]

note:-

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)

Find the GCF for the set of numbers.

18, 36, and 60

Answers

Step-by-step explanation:

Factors of 36 are {1,2,3,4,6,9,12,18,36}

.

Factors of 60 are {1,2,3,4,5,6,10,12,15,20,30,60}

Common factors are }1,2,3,4,6,12} .

greatest Common Factor is 12 .

1. Find the common ratio of the geometric sequence
6, 30, 150, 750, ....

Answers

Answer:

Each number multiplies by 5

Step-by-step explanation:

6x5 = 30

30 x 5 = 150

150 x 5 = 750 etc.

the measures of the angles in a triangle are in a ratio 1:5:6. find the measures of the angles

Answers

Answer:

The required angles are 15, 75 and 90

Step-by-step explanation:

1x + 5x+ 6x = 180
or 12x = 180
180 ÷ 12 = 15
hence,
15, 75, 90.

Mr. Wilson bought a bag of birdseed and put half of it in his bird feeder. He split the other half equally among his 4 pet birds. How much of the bag did each pet bird get?

Answers

Answer:

each pet bird got 1/8 of the bag of birdseed

Step-by-step explanation:

the easiest way to do this is to divide the bag into eighths. if you divide the bag into eighths, 4/8 of the bag, being half, goes into the bird feeder. the other 4/8 of the bag is divided among Mr. Wilson's four pet birds, leaving each bird to get 1/4 of the bag when split evenly.

hope this helps

Make a story problem about conversion of measurements.​

Answers

CONVERSION

Make a story problem about conversion of measurements.

ANSWER

Cairo wants to join the basketball team, so he tried out and filled up a form. But he realized that the form wanted to get his height in "cm or centimeters", the problem is that he only knows his height in "feet" which is 6'5.

Since he didn't know how to convert centimeters to feet, he asked his friend Tyga and Tyga easily converted his height into cm. Cairo then filled up the form again and wrote "195.58 cm" in his official height--the equivalent of 6'5 in centimeter measurement.

In a recent year, 27.6% of all registered doctors were female. If there were 59,100 female registered doctors that year, what was the total number of registered doctors?

Answers

Answer:

214130

Step-by-step explanation:

27.6 /100 = 59100 / x

x = 214130

solve pls brainliest

Answers

Answer:

63

Step-by-step explanation:

Multiply each side by 9

4y=252

Divide by 4

y=63

Answer:

y= 63

Step-by-step explanation:

A field is shaped like the diagram below.
It is a rectangle with semicircles at two ends. There is a running track around the perimeter of the field.
(a)
100 m
64 m
What is the circumference of the track?

Answers

Step-by-step explanation:

must be at least 100m, and the rectangle width, also known as twice the circle radius, must be less than or equal to 60m. That would make for a relatively normal-shaped track

The perimeter of the track is 464 m

What is a perimeter?

The length around an object is called its perimeter.

Given that, a rectangle with semicircles at two ends. there is a running track around the perimeter of the field.

The dimension of the rectangle are 100 m and 64 m

The distance between the outer an dthe inner track is 10 m,

The diameter of the outer semicircles is 64+10+10 = 84 m

Therefore, is radius = 42 m

The perimeter of the outer semicircle = 2×π×radius

= 2×3.14×42

= 264 m

The length of the two straight lines = 100 + 100 = 200 m

Therefore, total perimeter of the whole track = 200+264 =464 m

Hence, the perimeter of the track is 464 m

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The figure for this question is:

The half-life of a radioactive substance is the time it takes for a quantity of the substance to decay to half of the initial amount. The half-life of the radioactive gas radon is approximately 2.8 days. The initial amount of radon used in an experiment is 74 grams. If N represents the number of grams of radon remaining t days after the start of the experiment,

Answers

Answer:

  N = 74(1/2)^(t/2.8)

Step-by-step explanation:

The exponential function expressing a half-life relation can be written ...

  amount = (initial amount) × (1/2)^(t/(half-life))

For the numbers given in this problem, this is ...

  N = 74(1/2)^(t/2.8)

__

Some folks like to express these relations in the form ...

  N  = 74e^(-kt)

In this form, the value of k is ...

  k = ln(2)/(half-life) ≈ 0.693147/2.8 ≈ 0.24755

  N = 74e^(-0.24755t)

3.) Jan wants a bunch of balloons for her birthday party. She chooses 10 red, 12 blue, 8 green and 9 yellow balloons. Her mom says she can only have 60% of them. Jan doesn't care what colors she has. How many balloons does she end up with? ​

Answers

Answer:

Lets break this down

The question asks for “How many balloons does she end up with”?

A important fact is that Jan doesn’t care what color she has.
So using this we can disregard the colors.

She is only allowed to have 60 percent of all the balloons she choosed.

So lets add them.

10 + 12 +8 + 9 = 39

She chose 39 balloons in total.
Since she doesn’t care about the color we can jsut find 60 percent of 39.

In order to find this we just multiply 60% of 39.

Percentage means out of a hundred so 60 percent is 60 out of a hundred or in this age 60/100.

Now 60/100 is basically 0.6

So we multiply 39 by 0.6

23.4 is the answer.

Now you can’t have .4 of a balloon so we jsut round down for any decimal in this case.

23.4 is 23 now.

So 23 balloons is the amount of balloons Jan ends up with

(100 POINTS AND BRAINLIEST) 1 Question - Mr. Morris is going to save money and replace his sailboat's mainsail himself. He must determine the area of the mainsail in order to buy the correct amount of material. Calculate the area of the parallelogram to determine how much material should be purchased. Be sure to explain how to decompose this shape into rectangles and triangles. Describe their dimensions and show your work.

Question 2 - (05.03)Lisa has to cut her grandma's grass this weekend and wants to know exactly how much area she will be cutting. Calculate the area of the polygon. Be sure to show all your work and explain your answer. (Picture is for question 2)

Answers

Answer:

I don't know I'm trying my best and I'm late

Step-by-step explanation:

The ratio of the measures of the three angles in a triangle is 15:8:13. Find the measure of the three angles.

Answers

Answer: 75, 40, 65

Step-by-step explanation:

Let the angles measure 15x, 8x, and 13x.

Since the sum of the angles of a triangle is 180 degrees,

15x+8x+13x=180, meaning that x=5.

So, the angles are 15(5)=75 degrees, 8(5)=40 degrees, and 13(5)=65 degrees.

Compare using < , > , or =-1.75 and -1 3/4

Answers

Answer:

1.75 = 1 3/4

Step-by-step explanation:

1 3/4 = 1.75

Answer:

=

Step-by-step explanation:

-1.75 is the same as -1 3/4

Express the cubed root of a cubed root of the cubed root of 2 with a rational index.

Answers

Answer:

[tex]2^{\frac{1}{27} }[/tex]

Step-by-step explanation:

→ Write in number format

∛∛∛2

→ Rewrite

[tex]2^{\frac{1}{3} } *2^{\frac{1}{3} } *2^{\frac{1}{3} }[/tex]

→ Simplify

[tex]2^{\frac{1}{27} }[/tex]

Answer:

2^(1/27).

Step-by-step explanation:

That would be   [(2)^1/3)^1/3]^1/3

= 2^1/3*1/3*1/3)

= 2^(1/27)

How many different triangles can you make if you are
given these three measurements for angles?

Answers

Answer:

1

Step-by-step explanation:

If you're given 3 side lengths and 3 measurements of the angles , there's only one triangle that you may draw. You also can draw distinctive  triangles given 3 aspect lengths or  aspect lengths and the blanketed distinctive measure.

Answer:

1

Step-by-step explanation:

if you are given 3 measurements you are kind of stuck making that one triangle, no matter which way you shape it you have to have those three angles so you can't make more than that one triangle

It’s a 4 digit number. The tens are double the ones. The thousands are double the tens. The sum of the digit is 19

URGENT

Answers

the tens are double the ones: c= 2d
the thousands are double the tens:
a = 2c = 4d
the sum of the digits is 19:: a+b+c+ d = 19

Substitute for a and c to get:
4d + b + 2d + d = 19
b + 7d = 19
d=2;b=5;0=4;a=8
Ans:8542

Convert km into cm
10 points available

Answers

1 kilometre = 100000 centimetres
1 kilometre = 100000 centimetre

A water sprinkler sends water out in a circular pattern. How large is the watered area if the radius of the watering pattern is23ft ​ft?

Answers

Answer:

Step-by-step explanation:

Simply put, it is similar to finding the area of a circle.

Therefore, a=pi*r^2

a=pi*23^2

a=529pi

a=1661.9 ft^2

What is the answer to u/5+6=2 with work shown?

Answers

u/5 + 6 =2
u/5 = 2 -6
u/5 = - 4
u = -4 x 5
u= -20

Circle A has a radius of 9.0 cm. The shortest distance between B and C on the circle is 8.5 cm. What is the approximate area of the shaded portion of circle A?
30.0 cm²

38.25 cm²

56.5 cm²

254.5 cm²

Answers

Answer:

38.25 cm²

Step-by-step explanation:

We use the formula for the length of an arc to find the central angle of the sector of the circle.

Then we use the formula for the area of a sector of a circle to find the area.

Length of arc of circle of radius r:

[tex] s = \dfrac{n}{360^\circ}2 \pi r[/tex]

s = arc length

n = measure of the central angle of the sector

[tex] s = \dfrac{n}{360^\circ}2 \pi r[/tex]

[tex] 8.5~cm = \dfrac{n}{360^\circ}2 \pi \times 9.0~cm[/tex]

[tex] n = 54.1^\circ [/tex]

Area of sector of circle of radius r:

[tex] A = \dfrac{n}{360^\circ} \pi r^2[/tex]

A = area of sector of circle

n = measure of the central angle of the sector

[tex] A = \dfrac{54.1^\circ}{360^\circ} \pi (9.0~cm)^2[/tex]

[tex] A= 38.25~cm^2 [/tex]

The leg lengths of a right triangle are 14 in and 26 in. What is the length of the missing side?

Answers

Answer:

29.5

Step-by-step explanation:

14sq + 26sq = 872

sq root of 872 is 29.5

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