Answers
Answers:
Vertex form: y = -2(x-1)^2 + 8Standard form: y = -2x^2 + 4x + 6Pick whichever form you prefer.
=============================================================
Explanation:
The vertex is the highest point in this case, which is located at (1,8).
In general, the vertex is (h,k). So we have h = 1 and k = 8.
One root of this parabola is (-1,0). So we'll plug x = -1 and y = 0 in as well. As an alternative, you can go for (x,y) = (3,0) instead.
Plug those four values mentioned into the equation below. Solve for 'a'.
y = a(x-h)^2 + k
0 = a(-1-1)^2+8
0 = a(-2)^2+8
0 = 4a+8
4a+8 = 0
4a = -8
a = -8/4
a = -2
The vertex form of this parabola is y = -2(x-1)^2+8
Expanding that out gets us the following
y = -2(x-1)^2+8
y = -2(x^2-2x+1)+8
y = -2x^2+4x-2+8
y = -2x^2+4x+6 .... equation in standard form
Related Questions
A store pays $65 for a robot and marks the price up by 20%. What is the amount of the
mark-up?
Answers
Express the division expression as a fraction in simplest form. Then, rewrite the fraction as a mixed number.
14 ÷ 4
Answers
Step-by-step explanation:
14 ÷ 4 is the same as the corresponding fraction (because a fraction is nothing else than a mini-division) :
14/4 = 7/2
and 7 divided by 2 is 3 with a remainder of 1. that means 1 time 1/2 remains as fraction.
so, the mixed number is
3 1/2
Pre college need help with 5
Answers
Answer:
parallel
Step-by-step explanation:
maybe I guess it parallel, cause it not perpendicular
Answer:
Step-by-step explanation:
3x - 8y = 19
-8y = -3x + 19
y = (3/8)x - 19/8
32x + 12y = 19
12y = -32x + 19
y = (-32/12)x + 19/12
y = (-8/3)x + 19/12
as the slopes of the lines are negative reciprocals of each other, the lines are PERPENDICULAR
What is the value of v?
Answers
By isosceles triangle theorem,
Angle ZXY = Angle ZYX
The sum of the angles in a triangle is 180 degrees.
106 + 2 same angles (-106) = 180 (-106) (Subtract 106 by both sides)
2 same angles (/ 2) = 74 (/ 2) (Divide 2 by both sides)
V = 37
Answer:
The value of v is 37°.
Step-by-step explanation:
Given that △ XYZ is an isosceles triangle where both sides have the equal angles. The total angle of △ is 180°. Let ∠ZXY and ∠ZYX be the same angles:
Let ∠ZXY = v, ∠ZYX = v, ∠ XZY = 106°,
∠ZXY + ∠ZYX + ∠XZY = 180°
v + v + 106° = 180°
2v + 106° = 180°
2v = 180° - 106°
2v = 74°
v = 74 ÷ 2
v = 37°
True or False: This table describes a linear function
Answers
Answer:True
Step-by-step explanation:
There is a constant rate of change. For x, it'd be +1. For y, it'd be +3.
Vote brainliest please!
Answer:
true
Step-by-step explanation:
This is because the slope is y= 3x, you can prove that by plugging in the x values, and if they equal the y then that slope is right.
The enrollment in summer stuff camp went from 10 people to 28 in 5 days. What was the percent of the increase in enrollment
Answers
Answer:
140%
Step-by-step explanation:
28-10 = 14 person enrolled
14/10 = 140%
The sum of two numbers is 65. The larger number is 5 more than the smaller number. What are the numbers?
Answers
Answer:
30 and 35
Step-by-step explanation:
Put this question into equation form:
Let x be the smaller number, if the larger number is 5 more and the total is 65:
x + 5 + x = 65
2x + 5 = 65
Subtract 5 from both sides
2x + 5 - 5 = 65 - 5
2x = 60
Divide both sides by 2:
2x ÷ 2 = 60 ÷ 2
x = 30
As the larger number is 5 bigger:
30 + 5 = 35
So the two numbers are 30 and 35.
Hope this helps!
Answer:
Small number 30
Large Number 35
Step-by-step explanation:
The sum of x and y is 65. In other words, x plus y equals 65 and can be written as equation A:
x + y = 65
The difference between x and y is 5. In other words, x minus y equals 5 and can be written as equation B:
x - y = 5
Now solve equation B for x to get the revised equation B:
x - y = 5
x = 5 + y
Then substitute x in equation A from the revised equation B and then solve for y:
x + y = 65
5 + y + y = 65
5 + 2y = 65
2y = 60
y = 30
Now we know y is 30. Which means that we can substitute y for 30 in equation A and solve for x:
x + y = 65
x + 30 = 65
X = 35
Therefore the large and small number us 35 and 30 respectively.
Jeremy can row 2/3 of a mile in 1/2 hour how long will it take him to row 1 mile?
Answers
Answer:
It takes 3/4 of an hour to go 1 mile
Step-by-step explanation:
You can do this by setting up a proportion and by using decimals for some fractions
2/3 = 0.66667 Miles
1/2 = 0.5 hours
0.66667/0.5 = 1/x Cross multiply
0.66667 * x = 0.5 * 1 Simplify
0.66667 * x = 0.5 Divide both sides by 0.66667
x = 0.5 / 0.66667
x = 0.74999625 Notice when rounded this is 0.75
x = 0.75 Now notice that 0.75 as a fraction is 3/4
x = 3/4
Jeremy can row 2/3 of a mile in 1/2 hour then it will take him 3/4 hour to row 1 mile.
If Jeremy can row 2/3 of a mile in 1/2 hour, then the time it takes him to row 1 mile can be found by setting up a proportion:
(2/3 mile) / (1/2 hour) = 1 mile / (x hours)
Cross-multiply:
(2/3) × x = 1 × (1/2)
Now solve for x:
x = (1/2) / (2/3)
x = 3/4
So, it will take Jeremy 3/4 of an hour (or 45 minutes) to row 1 mile.
Learn more about mile here:
https://brainly.com/question/29806974
#SPJ3
Melanie read 52 pages in 1 hours. If she continues reading at the same rate, how
many pages will she read in an hour?
Answers
If she read 52 pages in one hour, then she'll continue at a rate of 52 pages per hour.
Answer:
52 pages
Step-by-step explanation:
Since she reads 52 pages in 1 hour we multiply 52 by the amount of hours she reads.
52 pages times 1 hour equals 52 pages.
52 x 1 = 52
HELLOPPPPPPPPPPPPPPPP
Answers
Answer:
Hello!
Judging by the link you provided I have come up with the correct solution:
x= 61°
y= 29°
Step-by-step explanation:
I will link my work below:
The first step to finding the two solutions it to first identify one of them.
I chose to identify x first.
To identify the value of x in this problem you have to notice that the x value corresponds with the value "29°" to form a perfect right angle, being 90°.
Thus you can simply find the value of x by doing this formula:
x+29°=90°
You then subtract 29° from both sides to simplify, and you come up with the solution
x=61°
Now we need to find the value of y.
To find the value of y I noticed that again, like x, y corresponds with another variable (being x) to form a perfect right angle (90°).
The way I realized this is a perfect right angle is because, as you can see in the picture you provided, the y+x angle are alternate exterior angles with another angle that is 90°.
Thus you can assume that:
x+y=90°
x= 61°
61°+y=90°
You then subtract 61° from both sides to get:
y=29°
Please help me with the worksheet
Answers
Answer:
9) a = ¾, vertex: (-4, 2), Equation: y = ¾|x + 4| + 2
10) a = ¼, vertex: (0, -3), Equation: y = ¼|x - 0| - 3
11) a = -4, vertex: (3, 1), Equation: y = -4|x - 3| + 1
12) a = 1, vertex: (-2, -2), Equation: y = |x + 2| - 2
Step-by-step explanation:
Note:I could only work on questions 9, 10, 11, 12 in accordance with Brainly's rules. Nevertheless, the techniques demonstrated in this post applies to all of the given problems in your worksheet.
Definitions:The given set of graphs are examples of absolute value functions. The general form of absolute value functions is: y = a|x – h| + k, where:
|a| = determines the vertical stretch or compression factor (wideness or narrowness of the graph).
(h, k) = vertex of the function
x = h represents the axis of symmetry.
Solutions:Question 9) ⇒ Vertex: (-4, 2)Solve for a:
In order to solve for the value of a, choose another point on the graph, (0, 5) and substitute into the general form (equation):
y = a|x – h| + k
5 = a| 0 - (-4)| + 2
5 = a| 0 + 4 | + 2
5 = a|4| + 2
5 = 4a + 2
Subtract 2 from both sides:
5 - 2 = 4a + 2 - 2
3 = 4a
Divide both sides by 4 to solve for a:
[tex]\LARGE\mathsf{\frac{3}{4}\:=\:\frac{4a}{4}}[/tex]
a = ¾
Therefore, given the value of a = ¾, and the vertex, (-4, 2), then the equation of the absolute value function is:
Equation: y = ¾|x + 4| + 2
Question 10) ⇒ Vertex: (0, -3)
Solve for a:
In order to solve for the value of a, choose another point on the graph, (4, -2) and substitute into the general form (equation):
y = a|x – h| + k
-2 = a|4 - 0| -3
-2 = a|4| - 3
-2 = 4a - 3
Add 3 to both sides:
-2 + 3 = 4a - 3 + 3
1 = 4a
Divide both sides by 4 to solve for a:
[tex]\LARGE\mathsf{\frac{1}{4}\:=\:\frac{4a}{4}}[/tex]
a = ¼
Therefore, given the value of a = ¼, and the vertex, (0, -3), then the equation of the absolute value function is:
Equation: y = ¼|x - 0| - 3
Question 11) ⇒ Vertex: (3, 1)
Solve for a:
In order to solve for the value of a, choose another point on the graph, (4, -3) and substitute into the general form (equation):
y = a|x – h| + k
-3 = a|4 - 3| + 1
-3 = a|1| + 1
-3 = a + 1
Subtract 1 from both sides to isolate a:
-3 - 1 = a + 1 - 1
a = -4
Therefore, given the value of a = -4, and the vertex, (3, 1), then the equation of the absolute value function is:
Equation: y = -4|x - 3| + 1
Question 12) ⇒ Vertex: (-2, -2)
Solve for a:
In order to solve for the value of a, choose another point on the graph, (-4, 0) and substitute into the general form (equation):
y = a|x – h| + k
0 = a|-4 - (-2)| - 2
0 = a|-4 + 2| - 2
0 = a|-2| - 2
0 = 2a - 2
Add 2 to both sides:
0 + 2 = 2a - 2 + 2
2 = 2a
Divide both sides by 2 to solve for a:
[tex]\LARGE\mathsf{\frac{2}{2}\:=\:\frac{2a}{2}}[/tex]
a = 1
Therefore, given the value of a = -1, and the vertex, (-2, -2), then the equation of the absolute value function is:
Equation: y = |x + 2| - 2
Where is the blue point on the number line ?
Answers
Answer:
-20
Step-by-step explanation:
Answer:
-20
Step-by-step explanation:
one period is 5, so -5×4 = -20
Find the equation of the line shown!!!
Answers
Answer:
y = x + 6
Step-by-step explanation:
How long would it take 100,000 grams of
radioactive iodine, which has a half-life of 60 days, to decay to
25,000 grams? Use the formula N = N() where N is the final amount of the substance, N, is the initial amount, and #
represents the number of half-lives.
Answers
Answer:
t = 2 half-lives = 2*60 days = 120 days
hope this helps
Step-by-step explanation:
Determine the intercepts of the line.
Do not round your answers.
y +5 = 2(x + 1)
y-intercept:
r-intercept:
Answers
Answer:
x intercept: (3/2, 0), y intercept: (0, -3)
Step-by-step explanation:
Hello, is there anyone here a pharmacy technician?
Answers
Can someone help me please
Answers
Answer:
sorry i can answer that the asy
Answer:
Q1 - 10080
(sorry couldn't do q2 haha)
step by step;
Will mark brainliest, pls help
If you earn both hourly wages and a commission at your job, your gross wages, w, can be calculated with the following equation:
cs + rh = w
where c is your commission rate, s is your total sales in dollars, r is your hourly rate, and h is your hours worked.
Solve for s to rewrite the equation for total sales.
s = c(w + rh)
s = c(w − rh)
s = w + rh/c
s = w − rh/c
Answers
Answer:
None of the answer options are correct
Step-by-step explanation:
cs + rh = w
cs = w - rh
s = (w - rh)/c
The second one could be corrected by exchanging c with 1/c
The last one would be correct with judiciously applied parentheses.
The first and third have too many errors to even bother trying to correct.
answer could also be written
s = w/c - rh/c
but it is not considered reduced form.
9514 1404 393
Answer:
(d) s = (w − rh)/c
Step-by-step explanation:
Undo what is done to the variable. It is multiplied by c and rh is added to that product.
cs +rh = w . . . . . given
cs = w -rh . . . . . undo the addition of rh: add -rh to both sides
s = (w -rh)/c . . . . undo the multiplication by c: divide both sides by c
_____
Additional comment
Each entire side of the equation is divided by c. That means the entire expression (w-rh) is divided by c. It is incorrect to write that division as w-rh/c. The division bar (/) in plain text only refers to the immediately preceding and the immediately following tokens as its operands. When the expression is typeset, the division bar serves as a grouping symbol, showing you the entire numerator.
[tex]s=\dfrac{w-rh}{c}[/tex]
{3x−5y=4 -2x+6y=18
Please help solve for x and y
Answers
Answer:
hello mam I don't know what to say to someone who makes the way to the way to the way to the way to the way to the way to work now where is my turn to the dark side I will be
Please help this is due tomorrow and I have no idea what to do
Answers
Step-by-step explanation:
#1Yes
If you connect the points plotted, they will form a line and will pass through the origin.
This is indication of the proportional relationship.
The equation of circumference is:
C = 2πrSince 2π is a constant value, the equation above represents a proportional relationship.
#2AC is the dimeter#3DB is the radius#4Circumference is the perimeter of the circle.HELP ME OUT PLEASE!!!!!!!!
Which associations best describe the scatter plot?
Select each correct answer
Nonlinear association
Linear association
Negative association
Positive association
Answers
Answer:
linear association, correct
Answer:
There are two answers: it is Nonlinear association and Linear association
Step-by-step explanation:
Nonlinear association- When comparing two data sets if the data from one set increase, the data from the second set decrease (it basically means a scatter plot that is decreasing).
Linear association- arranged in extending along a straight or nearly straight line.
I also took the test it it was correct.
6. Jasper pays $42.8 for his cell phone. Marco pays $38.15 for his cell phone plan.
How much more does Jasper pay? Do not use a $ sign. Just type in the numbers.
Answers
Answer: 4.65
Step-by-step explanation: 42.80 - 38.15 = 4.65
Saturn the ring system around saturn has a diameter of 170000miles. find the circumference of the ring system.
Answers
Answer:
534,070.75 miles
Step-by-step explanation:
The circumference formula is [tex]d\pi[/tex] or [tex]2r\pi[/tex].
But since we're given the diameter, 170,000, all we have to do is multiply it by [tex]\pi[/tex].
[tex]170000*\pi = 534070.75 (Rounded)[/tex]
find the angle pls it's just 1 question
Answers
Answer:
70°
Step-by-step explanation:
isoceles so base angles are 55
55+55 is 110 so 180-110 is 70
Answer:
if the triangle is isosceles
Step-by-step explanation:
traingle angles= 180°
isosceles traingle= base angles are equal
180°-55°-55°= 70°
Help no links Pleaseeeeeee
Answers
Answer:
[tex]\huge\boxed{z=6;\ x=12.5}[/tex]
Step-by-step explanation:
If two figures are similar, then corresponding sides are in proportion.
Therefore:
[tex]\dfrac{z}{15}=\dfrac{4}{10}\qquad|\text{cross multiply}\\\\10z=(15)(4)\\\\10z=60\qquad|\text{divide both sides by 10}\\\\\boxed{z=6}[/tex]
[tex]\dfrac{x}{5}=\dfrac{10}{4}\qquad|\text{cross multiply}\\\\4x=(5)(10)\\\\4x=50\qquad|\text{divide both sides by 4}\\\\x=\dfrac{50}{4}\\\\\boxed{x=12.5}[/tex]
Using 7 what is the angle measure represented by the expression (2x+45)°?
PLEASE HELP ITS URGENT
Answers
If you plug 7 as x into:
(2x+45)
then you get
(2(7)+45)
(14+45)
(59)
In a certain chemical the ratio of zinc to copper is 4 to 15. A jar of the chemical contains 345 of copper how many grams of zinc does it contain ?
Answers
Answer:
92.
Step-by-step explanation:
By proportion the mass of zinc = (345/ 15) * 4
= 92.
this is really hard help me please
Answers
V = pi(r^2)(h)
r = 3.75, h = 6.21
V = pi(3.75^2)(6.21)
V = pi(87.33)
V = (3.14)(87.33) = around 274
Now you can figure out the rest
What fraction of the rectangle is shaded? PLS PLS PLS help ASAP! Ty
Answers
9514 1404 393
Answer:
1/3
Step-by-step explanation:
The area of the rectangle is ...
A = lw = (21)(12)
The area of the shaded triangle is ...
A = 1/2bh = 1/2(14)(12) = (7)(12)
Then the fraction of the rectangle that is shaded is ...
(shaded area)/(rectangle area) = (7)(12)/((21)(12)) = 7/21 = 1/3
1/3 of the rectangle is shaded.
A rectangle has a perimeter of 20 inches and an area of 24 square inches. What are the length and width of the rectangle?
5 inches x 4 inches
4 inches x 6 inches
6 inches x 3 inches
3 inches x 8 inches
Answers
Answer:
Length = 6in
Width = 4in
The formula for solving the perimeter of a rectangle is:
P = 2(L+W)
The formula for finding the area of a rectangle is:
A = L x W
If we substitute our values, we will get:
P = 2(6 + 4)
P = 2(10)
P = 20in
A = 6 x 4
A = 24in²