Answer:
The simplest parabola is y = x2, whose graph is shown at the right. The graph passes through the origin (0,0), and is contained in Quadrants I and II. This graph is known as the "Parent Function" for parabolas, or quadratic functions.
So the answer is f(x) = 2x2
Thank you and please rate me as brainliest as it will help me
The function f(x) = 2x² is the quadratic function while the other functions are not the quadratic function. The first option is the correct one.
A quadratic function is a polynomial with degree 4.
f(x) = 2x² is a quadratic function as the degree of the function is 2.
g(x) = 5x³ is a cubic function as the degree of the function is 3.
k(x) = -x is a linear function as the degree of the function is 1.
[tex]b(x) = -9x^4[/tex] is a quartic function as the degree of the function is 4.
So, among all options, f(x) = 2x² is the quadratic function. The correct option is the first one.
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Please answer 4x + 10 = 30
Answer:
x=5
Step-by-step explanation:
Let's solve your equation step-by-step.
4x+10=30
Step 1: Subtract 10 from both sides.
4x+10−10=30−10
4x=20
Step 2: Divide both sides by 4.
4x /4 = 20/4
x=5
The value of x that satisfies the equation 4x + 10 = 30 is x = 5.
Here,
To solve the equation 4x + 10 = 30,
we want to find the value of x that makes the equation true.
Step 1: Isolate the variable term.
First, we want to get rid of the constant term 10 on the left side of the equation.
We can do this by subtracting 10 from both sides of the equation:
4x + 10 - 10 = 30 - 10
Simplifying:
4x = 20
Step 2: Solve for x.
Next, we want to isolate the variable x on one side of the equation.
Since 4 is multiplied by x, we can undo this by dividing both sides of the equation by 4:
4x / 4 = 20 / 4
Simplifying:
x = 5
Step 3: Check the solution.
To verify that our solution is correct, we can substitute the value of x back into the original equation:
4x + 10 = 30
Substitute x = 5:
4(5) + 10 = 30
Simplifying:
20 + 10 = 30
30 = 30
Since both sides are equal, our solution x = 5 is correct.
Therefore, the value of x that satisfies the equation 4x + 10 = 30 is x = 5.
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What is the solution for x in the equation? -4 + 5x - 7 = 10 + 3x - 2
Answer:
x = 9.5
x = 9 1/2
x = 19/2
All answers are the same, just different ways of denoting it.
Step-by-step explanation:
-4 + 5x - 7 = 10 + 3x - 2
Simplify both sides, by combining like terms
-4 + 5x - 7 = 10 + 3x - 2
-11 + 5x = 8 + 3x
Inverse operations
-11 + 5x = 8 + 3x
+11 +11
5x = 19 + 3x
-3x -3x
2x = 19
/2 /2
x = 9.5
pls help me i can’t fail
Answer:
$330
Step-by-step explanation:
[tex]\frac{24}{198} =\frac{40}{x}[/tex]
Cross multiply:
24x= 198(40)
to get x=330
How much is 1+1?
A 2
B 1
C 3
D 0
Answer:
2
Step-by-step explanation:
what is volume and how is it measured?
Answer: Volume is the quantity of three-dimensional space enclosed by a closed surface, for example, the space that a substance (solid, liquid, gas, or plasma) or shape occupies or contains. ... Volume is often quantified numerically using the SI derived unit, the cubic metre.
Step-by-step explanation:
SI unit: Cubic metre
Other units: Litre, fluid ounce, gallon, quart, pint, ...
In SI base units: 1 m3
Dimension: L3
Hannah has a aquarium with 25 Liter of water in it.How many milliliters of water are in the aquarium
Answer:
25000
Step-by-step explanation:
25 * 1000 = 25000
25000 milliliters
Convert 25 liters to milliliters
Which congruence theorems can be used to prove ΔABR ≅ ΔACR? Select three options. Triangles A B R and A C R share side A R. Angles A B R and A C R are right angles. Sides A B and A C are congruent. Sides B R and C R are congruent. HL SAS SSS ASA AAS
Answer:
A. HL
B. SAS
C. SSS
May I have brainliest please? :)
The triangles can be proved congruent by HL, SSS, and SAS congruence, the correct option is A, B, and C.
What is a Right Angled Triangle?A right triangle is a triangle in which the measure of one of the angles is 90 degrees.
The triangle given is are triangles ABR and ACR
They share a common side AR
∠ABR = ∠ACR = 90 degree.
AB ≅ AC
BR ≅ CR
The triangles can be proved congruent by,
HL- Height Length congruence for a right-angle triangle
SSS - All the sides are equal and,
SAS - The two sides and the included angle is equal.
Your question seems incomplete, the complete question is attached with the answer.
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What are some ways you can convince jada that her claim is not true
Answer:
you prove her wrong with dem facts!
help me please i have been stuck on this
Answer:
3 1/8
Step-by-step explanation:
You can rewrite 1 1/4 as 1 2/8, so adding them you'd get 2 9/8, or 3 1/8
Find a function rule for the line that passes through the origin (0,0) and the point (5, - 13)
what is the function rule for the line?
a. y= -13/5x
b. y= -5/13x
c. y= 5x -13
d. y= -13x +5
Answer:
The Function rule for line is: [tex]\mathbf{y=-\frac{13}{5}x}[/tex]
Option A is correct option.
Step-by-step explanation:
Find a function rule for the line that passes through the origin (0,0) and the point (5, - 13)
The function rule is of form: [tex]\mathbf{y=mx+b}[/tex]
where m is slope and b is y-intercept
Finding slope:
The formula used to find slope is: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
We have [tex]x_1=0, y_1=0, x_2=5, y_2=-13[/tex]
Putting values and finding slope
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{-13-0}{5-0}\\Slope=\frac{-13}{5}\\Slope=-\frac{13}{5}[/tex]
Finding y-intercept
We will use point(0,0) to find y-intercept
[tex]y=mx+b\\0=-\frac{13}{5}(0)+b\\0=0+b\\b=0[/tex]
So, y-intercept is 0
The Function rule for line having slope m=-13/5 and y-intercept b=0:
[tex]y=mx+b\\y=-\frac{13}{5}x+0\\y=-\frac{13}{5}x[/tex]
So, The Function rule for line is: [tex]\mathbf{y=-\frac{13}{5}x}[/tex]
Option A is correct option.
ffffddfrgrghhhhhhmedeeeeffff
Need this by tonight
Answer:
[tex]f(-1)=\frac{-1}{2}[/tex]
[tex]g(-2)=\frac{5}{32}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition SubtractionStep-by-step explanation:
Step 1: Define
[tex]f(x)=\frac{2x-1}{2x^3-8x}[/tex]
[tex]g(x)=\frac{2x-1}{2x^3+8x}[/tex]
f(-1) is x = -1
g(-2) is x = -2
Step 2: Evalaute
f(-1)
Substitute: [tex]f(-1)=\frac{2(-1)-1}{2(-1)^3-8(-1)}[/tex]Evaluate: [tex]f(-1)=\frac{2(-1)-1}{2(-1)-8(-1)}[/tex]Multiply: [tex]f(-1)=\frac{-2-1}{-2+8}[/tex]Subtract/Add: [tex]f(-1)=\frac{-3}{6}[/tex]Divide: [tex]f(-1)=\frac{-1}{2}[/tex]g(-2)
Substitute: [tex]g(-2)=\frac{2(-2)-1}{2(-2)^3+8(-2)}[/tex]Evaluate: [tex]g(-2)=\frac{2(-2)-1}{2(-8)+8(-2)}[/tex]Multiply: [tex]g(-2)=\frac{-4-1}{-16-16}[/tex]Subtract: [tex]g(-2)=\frac{-5}{-32}[/tex]Simplify: [tex]g(-2)=\frac{5}{32}[/tex]And we have our final answers!
How do you find
the rate of change of a function?
Answer:
xfghzfgfrxeshixeah
Step-by-step explanation:
LG's SSL looks sl lid
Can someone please help me, thanks
There are a lot of questions here. I'll do problems 7 and 8 to get you started.
====================================================
Problem 7
The given equations are
y = x^2 + 5x - 2
y = 3x - 2
Since both right hand sides are equal to y, we can equate them, get everything to one side, and solve
x^2 + 5x - 2 = 3x - 2
x^2 + 5x - 2 - 3x + 2 = 0
x^2 + 2x = 0
x(x + 2) = 0
x = 0 or x + 2 = 0 ........ zero product property
x = 0 or x = -2
Now plug each x value back into one of the original equations given
If x = 0, then
y = 3x-2
y = 3*0-2
y = -2
Making (0,-2) as one solution. Repeat for the x value x = -2
y = 3x-2
y = 3(-2)-2
y = -8
The point (-2, -8) is the other solution to the system.
-------------------------------
Answer: There are two solutions and they are (0, -2) and (-2, -8)
====================================================
Problem 8
y = -x^2 - 3x + 2
y = x + 6
We'll use the same idea as before
y = -x^2 - 3x + 2
x + 6 = -x^2 - 3x + 2
x + 6 + x^2 + 3x - 2 = 0
x^2 + 4x + 4 = 0
Now factor the left side to solve for x
(x+2)(x+2) = 0
(x+2)^2 = 0
x+2 = 0
x = -2
Use this x value to find y
y = x+6
y = -2+6
y = 4
Or we can cay
y = -x^2 - 3x + 2
y = -(-2)^2 - 3(-2) + 2
y = 4
We get the same y value either way.
-------------------------------
Answer: There is one solution and it is (-2, 4)
19 × 0.38 =
i need this answer now it is important.
Answer:
7.22
Step-by-step explanation:
Use a calculator
Answer:
19 x 0.38 = 7.22
Step-by-step explanation:
if the number you are multiplying by is smaller than 1, it's always smaller than the beginning number.
May I have brainliest please? :)
Need help please I dont understand!
Answer:
Third option is the correct answer
Step-by-step explanation:
[tex] f(x) = 2x^2 - 4x[/tex] is the correct answer.
A 17 year old female high school student feels that she is overweight. Her weight is 145 and height 5'4. Calculate the BMI. Round your answer to one decimal place.
Answer:
BMI is 24.9
Step-by-step explanation:
In order to calculate the student's BMI we first need to convert her weight into kilograms and her height into meters. We know that there are 39.37 inches in a meter and every foot has 12 inches. Therefore, since the student is 5ft 4 inches, this means she is 64inches tall. Now we can divide this by 39.37 to find her height in meters
64 / 39.37 = 1.6256 meters
Now we need to calculate her weight in kilograms. Since there are 2.20462 pounds in 1 kilogram, we simply divide her weight by 2.20462.
145 / 2.20462 = 65.7709 kilograms
Now we use the BMI formula to solve for the students BMI
BMI = [tex]\frac{mass}{height^{2} }[/tex]
BMI = [tex]\frac{65.7709}{1.6256^{2} }[/tex]
BMI = [tex]\frac{65.7709}{2.6425}[/tex]
BMI = 24.88
Therefore we can see that the students BMI is 24.9
in a group of 30 people 80% cant swim, how many can swim?
help me pls geometry
Answer:
[tex] y = \frac{1}{2}x + \frac{1}{4} [/tex]
Step-by-step explanation:
Equation in slope-intercept form is given as [tex] y = mx + b [/tex]
An equation parallel to [tex] y = \frac{1}{2}x + \frac{5}{2} [/tex] would have the same slope as the equation.
The slope (m) of the line would be ½.
m = ½.
Given that this same line runs through or contains (³/2, 1), we cam find the value of b (y-intercept) by substituting m = ½, x = ³/2, and y = 1 in [tex] y = mx + b [/tex].
Thus:
[tex] 1 = (\frac{1}{2})(\frac{3}{2}) + b [/tex]
[tex] 1 = \frac{3}{4} + b [/tex]
Subtract both sides by ¾
[tex] 1 - \frac{3}{4} = b [/tex]
[tex] \frac{1}{4} = b [/tex]
To derive the equation, substitute m = ½, and b = ¼ in [tex] y = mx + b [/tex].
✔️The equation is:
[tex] y = \frac{1}{2}x + \frac{1}{4} [/tex]
PLEASE HELP! If you solve this I would be so grateful!
Answer:
f(h)=2d+4.3
= 2 x 1.5+4.3
h=7.3ft
Of 48 people ,25% named grape juice as their favorite fruit juice .How many people preferred grape juice?
Answer:
it is 12 people
Step-by-step explanation:
i looked it up on Google. all you have to do is type in 25 percent of 48
Write each expanded expression as a power.
1.7 x 1.7 x 1.7 =
Answer:
1.7^3
Step-by-step explanation:
i cannot see your answer options so I hope this helps!!!!
What are the coordinates of the point on the directed line segment from
(-6, -10) to (9, 2) that partitions the segment into a ratio of 1 to 2?
Answer:
The coordinates of point that divides the given line in ratio 1:2 are (-1,-6)
Step-by-step explanation:
Given that:
(x1,y1) = (-6,-10)
(x2,y2) = (9,2)
If a point (x,y) divides a line into ratio m:n, the coordinates can be found out by the formula
[tex](x,y) = (\frac{nx_1+mx_2}{m+n} , \frac{ny_1+my_2}{m+n})[/tex]
As given ratio is: 1:2
so m= 1
n = 2
Putting the values in the formula we get
[tex]= (\frac{(2)(-6)+(1)(9)}{1+2} , \frac{(2)(-10)+(1)(2)}{1+2})\\=(\frac{-12+9}{3} , \frac{-20+2}{3})\\=(\frac{-3}{3} , \frac{-18}{3})\\=(-1,-6)[/tex]
Hence,
The coordinates of point that divides the given line in ratio 1:2 are (-1,-6)
40 points!!!!!!!!!!!!!!!!!!!!
Answer:
23 decries up wards then move it down twice :)
Step-by-step explanation:
Answer:
23 decries up wards then move it down twice
Step-by-step explanation:
Give the person before me brainliest they got it first :)
Part A
Write the explicit formula in function form.
an = 5 +0.2(n - 1)
f(n) =
Part b
What is the y-intercept of the function
Answer:
A. [tex]f(n) =0.2n+4.8[/tex]
B. The y intercept is 4.8
Step-by-step explanation:
Given
[tex]a_n= 5 + 0.2(n-1)[/tex]
Solving (a): Write as a function.
To do this, we simply substitute f(n) for [tex]a_n[/tex]
[tex]a_n= 5 + 0.2(n-1)[/tex] becomes
[tex]f(n)= 5 + 0.2(n-1)[/tex]
Open Bracket
[tex]f(n) = 5 + 0.2n-0.2[/tex]
Collect Like Terms
[tex]f(n) =0.2n-0.2 + 5[/tex]
[tex]f(n) =0.2n+4.8[/tex]
B. The y intercept.
To get the y intercept, we set n to 0
i.e
[tex]f(0) =0.2 * 0+4.8[/tex]
[tex]f(0) =0+4.8[/tex]
[tex]f(0) =4.8[/tex]
Hence, the y intercept is 4.8
Driving 85 miles in 5/6 of an hour.How many miles per hour?
between which two numbers is -2/3 located on a number line?
Answer:
-1 and 0
-2/3 lies between numbers -1 and 0
Answer:
D
Step-by-step explanation:
Have a great da༼ つ ◕_◕ ༽つy!
Triangle ABC has vertices A(-3,0) B(0,6) C(4,6). Find the equations of the three medians of triangle ABC
Triangle ABC has vertices A(-3,0) B(0,6) C(4,6). Find the equations of the three altitudes of the same triangle
Triangle ABC has vertices A(-3,0) B(0,6) C(4,6). Find the equations of the three perpendicular bisectors of the same triangle.
Answer:
1.[tex]y=-6x+6, y=\frac{6}{5} x+\frac{18}{5}, y=\frac{6}{11} x+\frac{42}{11}[/tex]
2.[tex]y=-\frac{1}{2} x+2\frac{1}{4} , x=2, y=-\frac{7}{6}x+\frac{43}{12}[/tex]
Step-by-step explanation:
A(−3, 0), B(0, 6), and C(4, 6)
using the midpoint formula: [tex](\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})[/tex] we can find all of their midpoint which is necessary to complete question 1 and 2
Mid AB=(-1.5, 3), Mid BC=(2, 6), Mid AC=(0.5,3)
Next, we have to find the slope of from the vertex and the midpoint of each side. We use the slope formula: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex].
You would get -6, 6/5, and 6/11.
Next you substitute in the coordinates for the equation of each for example: y=-6x, you switch in the set of cords AB which is (-1.5, 3). 3=-6(-1.5)+z and find that z=6, so the equation is y=-6x+6. As for the rest, repeat the same process until you find all 3 cords. You should get an answer of [tex]y=-6x+6, y=\frac{6}{5} x+\frac{18}{5}, y=\frac{6}{11} x+\frac{42}{11}[/tex]
For question 2,
The line has to be perpendicular bisector to the midpoint, signifying that it has to split 2 angles into congruent angles and a side into half. In order to do that we need to first find the opposite reciprocal of each side's slope. Which means we need to once again use the slope formula and get the opposite reciprocal by [tex]-\frac{1}{slope}[/tex]. For all the opposite reciprocal slopes you get will be incorporated into the final formulas. That gives us the slopes of -1/2, 0 and -7/6. Then do the same process of matching cords with these incomplete equations and you can find the final equations of [tex]y=-\frac{1}{2} x+2\frac{1}{4} , x=2, y=-\frac{7}{6}x+\frac{43}{12}[/tex]
I hope that helped with your question!! :)
Also I'm an RSM student too and I didn't know how to do them before so I searched it up.
How many 1/6 patties be made with 1/2 pound of hamburger meat
Answer:
3
Step-by-step explanation:
(1/2) / (1/6)
(1/2) * (6/1) = 6/2 = 3
All changes saved
4. Calculate the federal income taxes. In 1862, the federal income tax was 3 percent on incomes between $600 and $10,000 per year and 5 percent on incomes
over $10,000 per year. In 1862, you made $750. How much did you pay in income taxes?
O $37.50
O $225
O $22.50
$2,250
Answer:
$22.50
Step-by-step explanation:
My bad lol, I posted the answer under the wrong thing.