PLEASE!!! HELP ME! WILL GIVE BRAINLIEST, THANKS, AND 5 STARS!!! PLEASE GIVE A SOUND EXPLANATION TOO!!!! YOU GET 50 POINTS!
Answers
Answer:
-8
Step-by-step explanation:
Vertex of function f(x)
From inspection of the graph, the vertex of f(x) is (2, 1)
Vertex of function g(x)
Given: [tex]g(x)=2x^2-8x+1[/tex]
Standard form of a parabola is [tex]y=ax^2+bx+c[/tex]
Vertex form of a parabola is [tex]y=a(x-h)^2+k[/tex]
(where (h, k) is the vertex)
To convert from standard to vertex form, complete the square.
Set the equation to zero:
[tex]\implies 2x^2-8x+1=0[/tex]
Add 7 to both sides:
[tex]\implies 2x^2-8x+8=7[/tex]
Factor out common term 2 on left side:
[tex]\implies 2(x^2-4x+4)=7[/tex]
Factor expression inside brackets:
[tex]\implies 2(x-2)^2=7[/tex]
Subtract 7 from both sides:
[tex]\implies 2(x-2)^2-7=0[/tex]
Therefore:
[tex]g(x)=2(x-2)^2-7[/tex]
So the vertex of g(x) is (2, -7)
Solution
y-value of the vertex of f(x) = 1
y-value of the vertex of g(x) = -7
y-value of vertex of f(x) subtracted from the y-value of the vertex of g(x):
-7 - 1 = -8
Related Questions
Which of the following represent the same level of precision? Check all that
apply.
O A. 20 ounces
B. 18 ounces
C. 11.5 ounces
D. 3.9 ounces
Answers
Answer:
It’s c and d
Step-by-step explanation:
HELP FAST!!
(m+nx)/(m-n)=(p+qx)/(p-q) if mq=np
Answers
Basically all you need to show is –(p-q)=(-p)+q. (1)
Since 0 = (p-q) + (-(p-q)) (additive inverse), we get –p = -q +(-(p-q)). Now substitute for (–p) in (1).
Then m+q-n-p=(m+q)-(n+p) follows. (since -n-p+(n+p) = 0 implies -n-p = -(n+p) (additive inverse))
so technically all u need to show is –(p-q)=(-p)+q. Hope this helps!!
A bee colony produced 179 pounds of honey, but bears ate 0.24 pounds of it. How much honey remains?
Answers
Answer:
178.76
Step-by-step explanation:
Subtract .24 from 179
Please help me to find 1 math question
Answers
Answer:
Answer on image
Step-by-step explanation:
Find the gain percent in the following:
Cost Price Rs 280,
(a) Selling Price
Rs 290
Answers
Answer:
3.57
Step-by-step explanation:
P=SP -CP
=290-280=10
P%=[tex]\frac{P*100}{CP}[/tex]
=[tex]\frac{10*100}{280}[/tex]
=[tex]\frac{1000}{280}[/tex]
=3.57
1. the measures of the angle of a quadrilateral are consecutive multiples of 4 find the measure of the angles
2.the angles of a quadrilateral are 65°, 95° and 110° what is the measure of another angle
Answers
Answer:
Step-by-step explanation:
-[tex]-\frac{1}{2}[/tex] x + y = 10
Answers
Step-by-step explanation:
y = mx + c
is this form
-1/2x + y = 10
we need to get y by its self
to do that move -1/2x to the other side
do u know how to do that
Answer:
Slope = 1.000/2.000 = 0.500
x-intercept = 20/-1 = -20.00000
y-intercept = 20/2 = 10
Step-by-Step Explanation:
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
-1/2*x+y-(10)=0 <----- given linear equation
STEP 1:
Simplify 1/2
Equation at the end of step 1:
((0 - (1/2 • x)) + y) - 10 = 0
STEP 2 : Rewriting the whole as an Equivalent Fraction
Adding a whole to a fraction
Rewrite the whole as a fraction using 2 as the denominator :
y = y/1 = y · 2/2
Equivalent fraction :
The fraction thus generated looks different but has the same value as the wholeCommon denominator :
The equivalent fraction and the other fraction involved in the calculation share the same denominatorAdding fractions that have a common denominator :
Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
-x+y• 2 /2 = 2y-x/2
Equation at the end of step 2:
(2y-x)/2-10=0
Step 3:
Rewriting the whole as an Equivalent Fraction :
Subtracting a whole from a fraction
Rewrite the whole as a fraction using 2 as the denominator :
10=10/1=10 * 2/2
Adding fractions that have a common denominator :
Adding up the two equivalent fractions
(2y-x)-(10*2)/2=-x+2y-20/2
Step 4:
Pulling out like terms :
Pull out like factors :
-x + 2y - 20 = -1 • (x - 2y + 20)
Equation at the end of step 4:
-x+2y-20/2=0
Step 5: When a fraction equals zero :
When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.
Here's how:
-x+2y=20/2 *2=0*2
Now, on the left hand side, the 2 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
-x+2y-20 = 0
Equation of a Straight Line
Solve -x+2y-20 = 0
Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line -x+2y-20 = 0 and calculate its properties
Graph of a Straight Line : PICTURE
Calculate the Y-Intercept :
Notice that when x = 0 the value of y is 10/1 so this line "cuts" the y axis at y=10.00000
y-intercept = 20/2 = 10
Calculate the X-Intercept :
When y = 0 the value of x is 20/-1 Our line therefore "cuts" the x axis at x=-20.00000
x-intercept = 20/-1 = -20.00000
Calculate the Slope :
Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 10.000 and for x=2.000, the value of y is 11.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 11.000 - 10.000 = 1.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = 1.000/2.000 = 0.500
Geometric figure: Straight Line
Slope = 1.000/2.000 = 0.500
x-intercept = 20/-1 = -20.00000
y-intercept = 20/2 = 10
PLS HELP MEEE PICTURE BELOW
Answers
Answer:
h = 3.6
Step-by-step explanation:
This is just substituting in for variables and solving for x. The hard part is knowing the formula.
R = h((a+b)/2) where a and b are the 2 different bases, h is the height or latitude, and R is the area of a trapezoid, is the formula.
Given that R = 8.1, a = 1 and b = 3.5, we can substitute these equations in the formula.
(8.1) = h(((1) + (3.5)) / 2)
= h((4.5) / 2)
= h(2.25)
8.1/2.25 = h
3.6 = h
A population has a mean 81 and a standard deviation of 29. Find the mean and standard deviation of a sampling distribution of sample means with sample size n =265
Answers
Answer:
1.7815
Step-by-step explanation:
When two parallel lines are cut by a transversal, which of the statements is NOT true? Corresponding angles are congruent. Alternate interior angles are congruent. Same-side interior angles are congruent. Vertical angles are always congruent.
Answers
Answer: I believe it is same side interior are congruent.
Step-by-step explanation:
Answer:
same side interior angles are congruent
Step-by-step explanation:
just took the test ;)
please help with this
Answers
Answer:
c
Step-by-step explanation:
y co-ordinate is 2 when finding y intercept x has to be 0
what is the measure of
In your response, be sure to include angle measure and the work you did to find it .
Answers
Check the picture below, notice, the triangles are named ABC and DEF, so the corresponding angles will be A to D, B to E and C to F.
Hello people ~
plot the graph of y=cos x
Answers
Step-by-step explanation:
[tex]\displaystyle \boxed {y = sin\:(x + \frac{\pi}{2})} \\ y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 0 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{-\frac{\pi}{2}} \hookrightarrow \frac{-\frac{\pi}{2}}{1} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{2\pi} \hookrightarrow \frac{2}{1}\pi \\ Amplitude \hookrightarrow 1[/tex]
OR
[tex]\displaystyle y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 0 \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{2\pi} \hookrightarrow \frac{2}{1}\pi \\ Amplitude \hookrightarrow 1[/tex]
You will need the above information to help you interpret the graph. First off, keep in mind that although this looks EXACTLY like the cosine graph, if you plan on writing your equation as a function of sine, then there WILL be a horisontal shift, meaning that a C-term will be involved. As you can see, the photograph on the right displays the trigonometric graph of [tex]\displaystyle y = sin\:x,[/tex]in which you need to replase "cosine" with "sine", then figure out the appropriate C-term that will make the graph horisontally shift and map onto the cosine graph [photograph on the left], accourding to the horisontal shift formula above. Also keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must be careful with your calculations. So, between the two photographs, we can tell that the sine graph [photograph on the right] is shifted [tex]\displaystyle \frac{\pi}{2}\:unit[/tex]to the right, which means that in order to match the cosine graph [photograph on the left], we need to shift the graph BACKWARD [tex]\displaystyle \frac{\pi}{2}\:unit,[/tex]which means the C-term will be negative, and by perfourming your calculations, you will arrive at [tex]\displaystyle \boxed{-\frac{\pi}{2}} = \frac{-\frac{\pi}{2}}{1}.[/tex]So, the sine graph of the cosine graph, accourding to the horisontal shift, is [tex]\displaystyle y = sin\:(x + \frac{\pi}{2}).[/tex]Now, with all that being said, in this case, sinse you ONLY have a wourd problem to wourk with, you MUST use the above formula for calculating the period. Onse you do that, the rest should be easy. Now, the amplitude is obvious to figure out because it is the A-term, but of cource, if you want to be certain it is the amplitude, look at the graph to see how low and high each crest extends beyond the midline. The midline is the centre of your graph, also known as the vertical shift, which in this case the centre is at [tex]\displaystyle y = 0,[/tex]in which each crest is extended one unit beyond the midline, hence, your amplitude. So, no matter how far the graph shifts vertically, the midline will ALWAYS follow.
I am delighted to assist you at any time.
Answer:
Properties of y = cos(x)
The cosine wave is a sinusoidal function (sine and cosine waves are the same except for a horizontal shift).
It is a continuous function and so its domain is (-∞, ∞)
The center line is y = 0
The Amplitude (the height from the center line to the peak) is 1, and so its range is -1 ≤ x ≤ 1
The y-intercept is at (0, 1)
Its period (length of one wave) is 2π (360°)
Help please solve for x
Answers
If b + 2a = c and 2a +b = 10, then what is c
Answers
how do you find one side length of a square that has a area of 289
Answers
Answer:is the same number
Step-by-step explanation:289 because it’s a square all squares have same side
Evaluate for a = 2, b = 3, and c = 4.
(a + b + c)2
Answers
9 x 2= 18
…..
Answer:
81
Step-by-step explanation:
2. substitute values
(2+3+4)²
2. solve brackets first
(9)²
3. evaluate
9² = 81
If f(x)=x²+3x+5, what is f(3+h)
Answers
Answer: [tex]D. h^{2}+9h+23[/tex]
Step-by-step explanation:
[tex]f(x)=x^{2} +3x+5[/tex]
1. Input (3+h) instead of x.
[tex]f(3+h)=(3+h)^{2} +3(3+h)+5\\[/tex]
2. Get rid of parentheses.
[tex]f(3+h)=9+6h+h^{2} +9+3h+5\\[/tex]
[tex]f(3+h)=h^{2}+9h+23[/tex]
Therefore, D is the answer.
-3x+8<15
Find the solution set of the inequality
Answers
Answer:
Your answer is: x>-7/3
Interval Notation: (-7/3, ∞)
Step-by-step explanation:
Hope this helped : )
x > - 7/3
x ∈ ( - 7/3 ; +oo)
Step-by-step explanation:Hi there !
- 3x + 8 < 15
- 3x < 15 - 8
- 3x < 7 | (-)
3x > - 7
x > - 7/3
x ∈ ( - 7/3 ; +oo)
Good luck !
7)
Ella started exercising. Which division expression means she lost 5 pounds every 2 weeks?
5
A)
B)
0
D)
JU
Answers
Answer:
-5/2
Step-by-step explanation:
Remember to multiply or divide both terms by the same value to find equivalent ratios
FIND TWO RATIOS EQUIVALENT TO THE GIVEN RATIO
QUESTION
1. 5/12 2. 14:32
3. 3to4 4. 7/8
Answers
9514 1404 393
Answer:
10/24, 25/607:16, 35:806 to 8, 15 to 2014/16, 35/40Step-by-step explanation:
Just as the directions tell you, multiply both parts of the ratio by the same number. Here, the equivalents we used are 1, 2, and 5 times the numbers in the reduced ratio. Your multipliers can be anything, and don't need to be positive or rational or numbers.
__
1. 5/12 = (5·2)/(12·2) = 10/24
5/12 = (5·5)/(12·5) = 25/60
__
2. 14:32 = (7·2):(16·2) = 7:16
7:16 = (7·5):(16·5) = 35:80
__
3. 3 to 4 = (3·2) to (4·2) = 6 to 8
3 to 4 = (3·5) to (4·5) = 15 to 20
__
4. 7/8 = (7·2)/(8·2) = 14/16
7/8 = (7·5)/(8·5) = 35/40
7/8 = (7·m)/(8·m) = (7m)/(8m) . . . m ≠ 0
Thomas got a flat tire and had to walk 14 mile to the nearest gas station. How many feet did Thomas walk?
Answers
Answer:
73920
Step-by-step explanation:
look it up
Answer:
73920
Step-by-step explanation:
There are 5280 feet in a mile
Thus, we can multiply 14 with 5280
Receving 73920
So 73920 feet is our answer
btw 14 miles is a Longggggg way to walk
Find the slope of a line that goes through these points: (-1,-3) and (4,5)
Answers
Hope this helps
Answer:
1 3/5
Step-by-step explanation:
Slope is change in y/ change in x
so we can do
5-(-3)/4-(-1)
5+3/4+1
8/5 or 1 3/5
Find the value of x so the function has the given value.
h(x) = 4x + 2; h(x) = 10
Answers
Answer:
x=2
Step-by-step explanation:
10=4x+2
8=4x
2=x
Step by step
10=4x+2
8=4x
2=x
ab" that goes through points (0,17)
Write an exponential function in the form y
and (2, 153).
What is the answer
Answers
Which equations have the variable term isolated to one side of the equals sign, and the constant isolated to the other side, for the equation 1 5 x + 1 3 = −1 2 x + 8 3 ? Select all that apply.
One-fifth x minus StartFraction 7 Over 3 EndFraction = negative one-half StartFraction 7 Over 10 EndFraction x = StartFraction 7 Over 3 EndFraction
Negative StartFraction 7 Over 3 EndFraction = Negative StartFraction 7 Over 10 EndFraction x
x = negative five-halves x + StartFraction 35 Over 3 EndFraction
0 = negative StartFraction 7 Over 10 EndFraction x + StartFraction 7 Over 3 EndFraction
Answers
Answer:
B and C) 7/10x= 7/3 and -7/3 =-7/10 are the answers you are looking for
Step-by-step explanation:
Hope this helps! :)
Answer:
your answer would be B and C!!
Step-by-step explanation:
that is for edge 2020.
Does anyone know this?
Answers
Evaluate
Also I’m giving u 20 points :)
Answers
Answer:
If p = -3 and q = 7 your answer would be 30
Step-by-step explanation:
what is 10 - 3 in mathematics
Answers
Answer:
7
Step-by-step explanation:
Answer:
It equals 7 :)
Step-by-step explanation:
You have to subtract 10 and three that is how you get three
how do i divide 100 divided by 200
Answers
Answer:
100/200 is 0.5 (in the set of reals).
100 divided by 200 when simplified or reduced
100÷200 equals to 100
200
as a fraction, which equals to 1
2
, when simplified or reduced.
The fraction 100/200 is equal to the exact decimal number 0.5 (in the set of real num
Step-by-step explanation:
please mark me as brainlist please