Which of the following functions is quadratic?
O A. F(x) = 5^2
O B. f(x) = 2/x
O c. f(x)=3(x-4)(x+3)
O D. f(x) = 2x^3 + 3x^2 - 5
if u look at it and and which ones have more then u will get ur answer
Option C is correct, f(x)=3(x-4)(x+3) is a quadratic function.
What is quadratic equation?A quadratic equation is a second-order polynomial equation in a single variable x , ax²+bx+c=0. with a ≠ 0 .
In the given functions which are in the form of ax²+bx+c=0 such functions are considered as quadratic function.
The highest power of the variable x should be two.
f(x)=5² is not a quadratic function.
f(x) = 2/x is not a quadratic function.
f(x)=3(x-4)(x+3)
Let us simplify the function
f(x)=3(x²+3x-4x-12)
=3(x²-x-12)
f(x)=3x²-3x-36
So f(x)=3(x²+3x-4x-12) is a quadratic function.
Hence, Option C is correct, f(x)=3(x-4)(x+3) is a quadratic function.
To learn more on Quadratic equation click:
https://brainly.com/question/17177510
#SPJ7
Please help me with this homework homework
Answer:
Its A=2.38
Step-by-step explanation:
6cup=558 gram
1cup=558/6
1cup=93 gram
13gram*17kg=221gram
221/93=2.38
find the area of the shape pls help
Answer:
54.28 cm²
Step-by-step explanation:
Area rectangle = 10 x 4 = 40 cm²
Area semicircle = 1/2(π(2²)) = 1/2(π(4)) = 2π ≈ 6.28 cm²
Area triangle = 1/2(4 x (10-14)) = 1/2( 4 x 4) = 2 x 4 = 8 cm²
Total Area = 40 cm² + 6.28 cm² + 8 cm² = 54.28 cm²
-Chetan K
find the value of x !!!!!!
Answer:
[tex]x[/tex] = 14
Step-by-step explanation:
(4x-1)+(2x+7)+90=180
Francesca tried to evaluate an expression. Here is her work: 3(5)2–18÷3 = 3(25)–18÷3 = 75–18÷3 = 57÷3 = 19 Is Francesca's work correct?
Answer:
Nope. Moltiplication (and thus divisions) has to be done before any addition or subtractions, unless parenthesis indicate otherwise.
[tex]3(5)^2 - 18\div 3 = 3(25) - 6 = 75-6=69[/tex]
A line has a slope of 3 and passes through the point (3, 3). What is its equation in slope-intercept form?
Answer:
y=3x-1
Step-by-step explanation:
The y-intercept is at -1 if you go down 3 left 1, and then down 3 left 1 again and you are left at (0,-1)
Which division problem is modeled
Answer:
The first one
Step-by-step explanation:
if you count, there are five full rows, and two extra, so 52/100. then you count the sections that the colored area is: 4. then count how many squares are in each colored section: 13.
Eli is following this recipe to bake bread rolls.
He uses 500 g of flour.
How much of the other ingredients does he use?
Recipe: Makes 12 bread rolls
400 g flour
6 g salt
8 g yeast
40 mL oil
360 mL water
Answer:
7.5 g salt
10g yeast
50 ML oil
450 ML water
Step-by-step explanation:
You would do 1/4 of the amount of (insert ingredient amout) added to the total (insert ingredient amount)
A group of 8 people are sharing jellybeans each person wants 4 jellybeans and each bag has 7 jellybeans how many bags should they order
Answer:
5 bags
Step-by-step explanation:
if eight people each want four jellybeans you can multiply eight by four and get 32 jelly beans
this is the amount they need: 32
so we divide 32 by 7 to find out how many bags we need
32/7 is 4.57... so we need 5 bags because you cannot order half a bag
An item is regularly priced at $27. It is on sale for 35% off the regular price. What would be the sale price?
Answer:
$17.55
Step-by-step explanation:
Answer:
17.55
Step-by-step explanation:
You will pay $17.55 for a item with original price of $27 when discounted 35%. In this example, if you buy an item at $27 with 35% discount, you will pay 27 - 9.45 = 17.55 dollars
A grid is 10 squares high and 10 squares wide. The distance between each grid square is 3 feet. The triangular viewing area of camera is shown. The right triangle has 2 sides with lengths of 5 grid squares. The area of the triangle is 112.5 feet squared.
Alan wants to install security cameras in his store, which has dimensions of 30 feet by 30 feet. Each camera can view an area of approximately 112.5 ft2, with a viewing area shaped like a right triangle.
How many cameras will be necessary to cover the entire store?
.
If he places cameras only in the corners of the store, how much area is left uncovered?
ft2.
Answer:
1) 8
2) 450 ft^2
Step-by-step explanation:
Each triangle takes half a square worth of space, so if you add up 2 triangles for 1 square that is 1/4 of the area, multiply that by 4 and you get 8 cameras.
The left over space in the store is the same amount of space as all the cameras space added together since each camera takes up half a square. That way 4 cameras(each 112.5 ft^2 each) equals 1/2 of the room which added together is 450 ft^2, the other half would be the left over space, 450 ft^2.
1) The cameras will be necessary to cover the entire store are 8
2) The area left uncovered is 450 ft^2
Each triangle takes half a square worth of space, so if you add up 2 triangles for 1 square that is 1/4 of the area, multiply that by 4 and you get 8 cameras.
What is the area of the triangle?
The area of the triangle is
[tex]=\frac{1}{2}\times height \times base[/tex]
The leftover space in the store is the same amount of space as all the camera's space added together since each camera takes up half a square.
That way 4 cameras(each 112.5 ft^2 each) equals 1/2 of the room which added together is 450 ft^2, the other half would be the leftover space, 450 ft^2.
1) The cameras will be necessary to cover the entire store are 8
2) The area left uncovered is 450 ft^2
To learn more about the area of the triangle visit:
https://brainly.com/question/23945265
#SPJ5
read sddddddddd
dxfcgvhbjnkml,
Answer:
1/5
Step-by-step explanation:
rise = 2 ft
run = 10 ft
slope = rise/run = 2/10 = 1/5
Answer: 1/5
Answer:
1/5
Step-by-step explanation:
The slope is the rise over the run
Y / x
2/10
1/5
Jayden needed gloves
and bought 2 packages
of gloves. There were 5
pairs in each package.
He added this to the 3
pairs of gloves he
already owned. How
many gloves did Jayden
now own?
Answer:
Jayden has 13 pairs of gloves.
Step-by-step explanation:
2 packages multiplied by 5 pairs = 10
10 pairs plus 3 pairs he already had
= 13 pairs of gloves total
PLEASE HELP!! The figure below shows a line graph and two shaded triangles that are similar:
A line is shown on a coordinate grid. The x axis values are from negative 10 to positive 10 in increments of 2 for each grid line. The y axis values are from negative 5 to positive 5 in increments of 1 for each grid line. The line passes through the ordered pairs negative 6, negative 3, and 0, 0, and 6, 3. A shaded right triangle is formed so that its hypotenuse is from ordered pair 0, 0 labeled O to 4, 2 labeled A, one leg is from 0, 0 to 4,0, and the second leg is from 4,0 to 4, 2. Another shaded right triangle is formed with the hypotenuse is from 4, 2 to 6, 3 labeled B, one leg is from 4, 2 to 6, 2, and the second leg is from 6, 2 to 6, 3.
Which statement about the slope of the line is true?
It is fraction 1 over 2 throughout the line.
It is 2 throughout the line.
The slope from point O to point A is fraction 1 over 2 times the slope of the line from point A to point B.
The slope from point O to point A is 2 times the slope of the line from point A to point B.
The slope of the line of the graph is given by the ratio of the change in y-
coordinates to the change in the x-coordinates of the line.
The statement that is true about the slope of the line is; it is [tex]\dfrac{1}{2}[/tex] throughout
the line.
Reasons:
The given parameter are;
The ordered pair through which the line passes = (-6, -3), and (0, 0) and (6, 3)
Points on the hypotenuse of the shaded right triangle = O(0, 0), and A(4, 2)
Points on the leg of the right triangle = (0, 0) to (4, 0)
Points on the second leg of the right triangle = (4, 0) to (4, 2)
Second right triangle;
Points on the hypotenuse = A(4, 2) to B(6, 3)
One leg of the right triangle extends from (4, 2) to (6, 2)
Second leg extends from (6, 2) to (6, 3)
[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]\mathrm{Slope, \, of \ first \ triangle, \, m} =\dfrac{2-0}{4-0} = \dfrac{1}{2}[/tex]
[tex]x^{2} \mathrm{Slope, \, of \ second \ triangle, \, m} =\dfrac{3-2}{6-4} = \mathbf{\dfrac{1}{2}}[/tex]
Therefore;
The slope is [tex]\dfrac{1}{2}[/tex] throughout the line
Learn more here:
https://brainly.com/question/24861248
The amount of workers working on a task varies inversely as the amount of time it takes to finish the task. If 10 people can finish a task in 2 weeks, how many days will it take for 15 people to complete the same task?.
The number of days it would take 15 people to complete the task is 9.1 days.
The formula used to represent inverse proportion is:
y = [tex]\frac{k}{x}[/tex]
y = dependent variable x = independent variable k = constant of proportionalityThe information given in the question can be represented with:
2 = k/10
k = 20
The number of weeks it would take 15 people to complete the same task:
20 / 15 = 1.3 weeks = 9.1 days
A similar question was answered here: https://brainly.com/question/19427172
If I is parallel to m, solve for x.
Answer:
x = 16
Step-by-step explanation:
(8x - 14) = (5x + 34) since they are alternate exterior angles.
Solve for x:
8x - 5x - 14 = 34
3x - 14 = 34
3x = 34 + 14
3x = 48
x = 48/3 = 16
YAll plssssss help me with 5 plsssssssss
Answer:
8 and 2
Step-by-step explanation:
If you add them together you get 10. (8 + 2 = 10)
If you multiply them you get 16. (8 x 2 = 16)
Have a great day! (I'd love brainiest if you could give it to me!)
What is the slope of the line?
Answer:
thanks
Step-by-step explanation:
On a sunny day, Michelle and Nancy noticed that their shadows were different lengths. Nancy measured Michelle's shadow and found that it was 24.0 inches long. Michelle then measured Nancy's shadow and found that it was 13.5 inches long.
Which table of values represents a linear function?
Answer:
I don't know it's very hart
3x-9y=-7 ; 2y-6x=8 elimination
Answer:
x=-29/24
y=3/8
Step-by-step explanation:
3x-9y= -7 ---A
2y-6x= 8----B
multiply eq A by 2
6x-18y=-14
-6x+2y=8
Add both equations, so you eliminate x since 6x+(-6x) = 0
-18y+2y= -16y
-14+8=-6
so you have
-16y=-6
y=3/8
now substitute this back to eq B, (you can use eq A as well if you like)
2(3/8)-6x=8
3/4-6x=8
-6x=29/4
x=-29/24
Subtract 6 1/3 - 2 1/5
Answer:
4 2/15
Step-by-step explanation:
Convert both fractions to have the same denominator. Find the LCM of 3 and 5 and multiply by what you need to get there. 1x5=5, 3x5=15, so 1/3 becomes 5/15, and 1x3=3, 5x3=15, so 1/5 becomes 3/15. Finally, do normal subtraction, to get 4 2/15.
what is the mean number of cars owned by a family? Give your answer to 1 decimal place.
Answer:
Step-by-step explanation:
total # of families=15
families that own 0 cars=2
families that own 1 cars=5
families that own 2cars=4
families that own 3 cars=3
families that own 4 cars=1
so 2+5+4+3+1=15
total# of families/ sum of cars = 15/15=1
A hardware store owner placed an advertisement for Sylvania LED bulbs in the local newspaper. Sylvania provided the storeowner with several high-quality, camera-ready sample advertisements. In addition to supplying the advertising formats, Sylvania also paid 50 percent of the cost to place the ad in the paper. Sylvania was using ________ to promote its products. manufacturer incentive advertising strategic channel partnership reseller consumer promotion retail publicity cooperative advertising
Answer: Cooperative advertising
Step-by-step explanation:
WILL GIVE BRAINLIEST! Consider the graph at right and answer the following questions.
Answer:
a.)A and B are the intersection between the two curves. The x coordinate is the equation
[tex]f(x) = g(x)[/tex]
Let's solve it
[tex]\frac12 (x-2)^3 +1 = 2x^2-6x-3\\x^3-6x^2+12x-8+2=4x^2-12x-6\\x^3-10x^2+24x=0\\x(x^2-10x+24)=0\\x(x-4)(x-6)=0[/tex]
We can see that if we substitute x= 0 or x= 4 the equation is verified.
b. The equation has a third solution, x = 6, that is too far to the right to be visible in the graph.
c. the x coordinate of C is the solution of [tex]f(x)=0[/tex] or [tex]\frac 12 (x-2)^3 +1=0\\(x-2)^3 = -2\\(x-2) = -\sqrt[3]2[/tex]
At this point let's guesstimate the cubic root of 2 -let's say the cubic root of 2 is equal to 1plus an error e, and since we know how to calculate the cube of a binomial, let's build it.
[tex](1+e)^3 = 2 \rightarrow 1+3e+3e^2+e^3 = 2[/tex] Now, assuming the error is small enough, it's square and its cube gets even smaller. (if the error is 0.1, it's square becomes 0.01 and the cube 0.01), let's ignore them. [tex]1+3e=2 \rightarrow 3e=1 e= \frac13[/tex] So, going back to our equation, we can tell that the right hand side is [[tex]\mathbb{R}[/tex]]-(1+\frac13)[/tex] Not perfect, but good enough. Let's solve it now.
[tex]x-2= -1-\frac13 \rightarrow x=1-\frac13 = \frac23[/tex]
Which seems close enough from the photo.
c. Domain of both function are the whole Real set, since they're polynomials. Range of f(x) is again the whole real set, since it's an odd degree polynomial. g(x) is a parabula and its range is for y above the vertex y-coord, which is [tex]y>g(\frac32) = 2(\frac94)-6(\frac32)-3 = \frac92 -3(\frac62) -\frac62 = \frac92-4\frac62= -\frac{24-9}2 = -\frac{15}2[/tex]
What is the modulus of z? 2 2StartRoot 2 EndRoot 3 StartRoot 10 EndRoot
The modulus of the complex number is 5.
The value of z is a complex number with a real and imaginary value. Let's assume the complex number z is given as:
[tex]z = 3 + 4i[/tex]
The modulus of the complex number is given as:
[tex]|z|=\sqrt{x^2+y^2}[/tex]
From the given complex number:
x = 3y = 4Substitute into the formula:
[tex]|z|=\sqrt{3^2+4^2}\\|z|=\sqrt{9+16} \\|z|=\sqrt{25}\\|z|=5[/tex]
Hence the modulus of the complex number is 5.
Note that the complex number was assumed.
Learn more on complex number here: https://brainly.com/question/5564133
Answer:
[tex]\sqrt{10\\[/tex]
Step-by-step explanation:
If Don drives 60 miles per hour, can he make it to the beach (200 miles away) in 3 1/2 hours?
Answer:
Yes
Step-by-step explanation:
If Don drives at 60 miles per hour and drives for 3.5 hours, then he can drive:
60 * 3.5 = 210 miles
Because 210 miles is more than 200 miles, the answer is yes, he can make it to the beach in that time.
If you make an initial deposit of $1000 in an account that yields 5% interest
annually. Find your balance at the end of a year.
Show your work !
SI
$1 000 × 4 % × 10 = $400
CI
($1 000 × 1.04 ^10) - $1 000 = $1 480.24 - $1 000 = $480.24
Interest on interest only applies to Compound Interest.
Excluding year 1, which yields $40 [the same as SI] the interest on interest yields $480.24 - $40 = $440.24
- BRAINLIEST answerer
The solution is $ 1050
The interest on a deposit of $ 1000 at 5% for an year will be $50 and the amount after one year is $ 1050.00
What is Simple Interest?
Simple interest is a method of calculating interest that ignores the impact of compounding. While interest frequently compounds throughout the course of a loan's set periods, simple interest does not. Simple interest is calculated by multiplying the principal amount by the interest rate, times the number of periods.
Simple Interest = ( Principal Amount x Rate x Time Period ) / 100
Given data ,
Let the simple interest be represented as S
Now , the initial amount or principal be P = $ 1000
The rate of interest R = 5 %
The time period T = 1 year
So , the simple interest is given by the equation
Simple Interest = ( Principal Amount x Rate x Time Period ) / 100
Substituting the values in the equation , we get
Simple Interest S = ( 1000 x 5 x 1 ) / 100
On simplifying the equation , we get
Simple Interest S = 5000/100
Simple Interest S = $ 50
And , the amount after one year = Principal + Simple Interest
The amount after one year A = $ 1000 + $ 50
The amount after one year A = $ 1050.00
Hence , the amount is $ 1050.00
To learn more about simple interest click :
https://brainly.com/question/17282817
#SPJ2
A shark can swim at an average speed of 25 miles per hour. At this rate, how far can a shark swim in 2.4 hours. Use r= d/t. (D over T)
Answer:
60 miles
Step-by-step explanation:
1 hour = 25 miles. To find how much the shark can swim during 2.4 hours, we just have to multiply 25 by 2.4, which is 60, and that's your answer.
Tell me if I'm wrong :)
HELPPPPPPPPPPPPPPPPPP MEEEEEEEE
Answer:D
Step-by-step explanation:
The equation is y=mx+b. Here the slope is 1/5 and b is 5
Answer:
D
Step-by-step explanation:
Y intercept is +5
Slope is going up one and over five, so 1/5.
y=1/5x+5
