Answer:
The vertical line [tex]x = -2[/tex] is the axis of symmetry of [tex]y = -(x + 2)^{2} + 8[/tex].
Step-by-step explanation:
For the graph of a quadratic function, the axis of symmetry is the vertical line that goes through the vertex of this function.
In general, if the vertex of a quadratic function is at [tex](x_{0},\, y_{0})[/tex], the vertex form equation of this function would be [tex]y = a\, (x - x_{0})^{2} + y_{0}[/tex] for some non-zero constant [tex]a[/tex] ([tex]a \ne 0[/tex].)
Rewrite the quadratic equation in this question [tex]y = -(x + 2)^{2} + 8[/tex] to match the vertex form:
[tex]y = -(x + 2)^{2} + 8[/tex].
[tex]y = (-1)\, (x - (-2))^{2} + 8[/tex].
Thus:
[tex]a = (-1)[/tex].[tex]x_{0} = (-2)[/tex].[tex]y_{0} = 8[/tex].Hence, the vertex of this parabola would be at [tex](-2,\, 8)[/tex].
Again, the axis of symmetry of this graph would be a vertical line that goes through this vertex. The [tex]x[/tex]-coordinate of this vertical line would be [tex](-2)[/tex]. The equation of this vertical line would be [tex]x = (-2)[/tex].
Hence, the axis of symmetry of this quadratic function would be [tex]x = (-2)[/tex].
1. Honors Geometry 9th Grade PLS HELP WILL MARK BRAINLIST.
Answer:
Measure of angle E is 37 degrees because the triangles are similar and angle c and angle e are the ones that match up.
2x+4=6 is the equation
2x+4=6
2x=2
x=1
so, for context my teacher said it's C but I don't understand how the slope is negative.
the answer is:
A. slope: 9, y-intercept: -6
The Sweater Shack is offering a 20% discount on sweaters. If the regular price of a sweateris $15.00, what is the discount? /There are 30 students in Mrs. Jones class. Twenty percent of the students received an A on the last math test. How many students received an A? / Jean Junction is selling jeans at 15% off the regular price. The regular price is $25.00 per pair. What is the discount?/ if you can answer these Ill do another 100 points but please I really need help
Given that ,
The sweater shack is offering 20% discount,
and the regular price is $ 15 .00,
so, the discount given would be
⇢ $ 15 x 20/100
⇢$ 15 x 0.2
⇢$ 3
selling price⇢Regular price - Discount price
⇢$15 - $(20/100 x 15)
⇢$15 - $3
⇢$12
Answer 2↷Given that,
20% out of 30 students scored an A in previous math test,
so ,the number of students who got an A in the test
⇢ 30 x 20/100
⇢30 x 0.2
⇢6
Hence ,6 students secured an A grade in last math test
Answer 3↷Given that,
The Jean junction is selling the jeans at the discount rate of 15% of the regular price which is $25.00,
so, the discount is
⇢$25.00 x $ ( 15/100 )
⇢$25.00 x $ 0.15
⇢$3.75
selling price⇢ $25.00 - $25.00 x $ ( 15/100 )
⇢$25.00- $25.00 x $ 0.15
⇢$25.00 -$3.75
⇢$21.25
3 (2 + q) + 15 simplified
Answer:
3q+21
Step-by-step explanation:
Answer:
well i think you distribute the 3 to the two and the q so you multiply 3 * 2 = 6
3 * q = 3q then you add 6 + 3q = 9q
Step-by-step explanation:
Samantha is taking out a loan for $17,452 at 6% simple interest for one year. How much interest will she pay?
Answer:
She will pay $1,047.12 interest for one year
Step-by-step explanation:
Simple Interest
Occurs when interest is calculated on the original principal only.
Unlike compound interest where the interest earned in the compounding periods is added to the new principal, simple interest only considers the principal to calculate the interest.
The interest earned is calculated as follows:
I=P.r.t
Where:
I = Interest
P = initial principal balance or loan
r = interest rate
t = time
Samantha takes out a loan for $17,452 at r=6%=0.06 simple interest for t=1 year. Calculating the interest:
[tex]I=\$17,452*0.06 *1[/tex]
I = $1,047.12
She will pay $1,047.12 interest for one year
please help me i would really appreciate it
i will give brainliest
Answer:
b. multiply the bottom equation by 2
Step-by-step explanation:
it would eliminate y
Write the equation of a line that is perpendicular to 3x-6y=12 and passes through the point (-4,3).
Answer:
y=-3x+3 I think
Step-by-step explanation:
opposite reciprocal and use the new points y value?
Which expression is equivalent to 6x+8?
O 2(3x-4)
O 2(3x+4)
O 2(4x+6)
O 2(3x8)
Answer:
2(3x+4).
Step-by-step explanation:
help again
algebra 1
Answer:
a
Step-by-step explanation:
there is only one solution
For each situation, decide whether you would need to find the circumference or area and explain why.
The distance your car tires travel on a trip to Dover. Area or circumference
The amount of icing needed to cover a chocolate frosted donut. Area or Circumference
The amount of sauce needed to cover a pizza. Area or Circumference
The number of bricks used to put a border around a circular pond. Area or Circumference
Answer:
i need pionts bbut it is b
Step-by-step explanation:
What is the y intercept
The volume of a cylinder is 401.92 cubic inches.
If the height of the cylinder is 2 inches, what is
its radius?
Objective: Identify the slope and y-intercept.
5.3.7
Find the slope and y-intercept of the graph of the equation.
y = 4x + 3
Select the correct choice and fill in any answer boxes in your choice below.
O A. The slope is
OB. The slope is undefined.
Answer:
y=4x+3 The slope is 4 and the y-intercept is 3
Step-by-step explanation:
Answer:
slope = 4, y- intercept = 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 4x + 3 ← is in slope- intercept form
with slope m = 4 and y- intercept c = 3
(From Unit 1, Lesson 7.)
7. This diagram is a straightedge and compass
construction. Is it important that the circle with center B
passes through D and that the circle with center D
passes through B? Show or explain your reasoning.
(From Unit 1, Lesson 5.)
ON
D
n
Answer:
The Distance from the center ( B ) of the smaller circle to its edge is the radius of the circle therefore length BD = length AB
From the given diagram
The center of the bigger circle is at C while
The center of the smaller circle is at point B .
The smaller circle cuts through the bigger circle creating two segments BD and AB which starts from the middle of the smaller circle to the intersecting edges of the circles.
Hence the length of segment BD = length of segment AB because they both start from point B .
Request: please mark me brainlyest
i really do hope this helps
Simplify the folllowing: (xy^3 z^4)
Answer:
Remove parentheses. xy³ z^4
4Step-by-step explanation:
Answer:
x^4y^12z^16 is the answer let me know if i'm right and pls brainllest me if i'm right
Help! Which method can you use to prove that the triangles are congruent?
The graph of a line has slope 3/2 and passes through the point (-2, 4). Which point is on this line?
(0, 7)
(1, 6)
(2, 11)
(4, 1)
Answer:
(2, 11)
Step-by-step explanation:
Answer:
(1, 6)
Step-by-step explanation:
Name the side included by ∠A and ∠B
Answer:
I think may be it is Option 2 (AB)
Plz help I will mark as the brainlist
Answer:
1/25
Step-by-step explanation:
We can see that in this pattern, the denominator and the numerator of the next fraction cancel out; they're the same.
(1/2) x (2/3) x (3/4) = 1/4 (do you see it?)
The only things that do not cancel out are the numerator of the first fraction and the denominator of the last. So, in the end, the answer will be 1/25.
Hope this helps!
Pllsssssss helpppp meeee
Answer: C
Step-by-step explanation:
a 12" original sized at 75%, the new size=
Answer:
9"
Step-by-step explanation:
12 = 100%
? = 75%
cross multiply
= 9"
help if you have time !
Answer:
72 Bricks would be needed.
Step-by-step explanation:
24 * 2 = 48
12 * 2 = 24
48 + 24 = 72
Find the simplified product
Answer: (b + 3)/2
[tex]\frac{b-5}{2b}.\frac{b^{2}+3b }{b-5}=\frac{b^{2}+3b }{2b}=\frac{b(b+3)}{2b}=\frac{b+3}{2}[/tex]
Step-by-step explanation:
Answer:
(b + 3)/2
Step-by-step explanation:
The length of Rectangle A is 5 inches more than its width. The perimeter of Rectangle B is 17. The difference between the perimeters of the rectangles is less than 9. What are the possible integer values for the width of Rectangle A?
Based on the perimeter value, the width of the rectangle is 1.75 inches
What are perimeters?The perimeter of a shape is the sum of the side lengths of the shape
For all regular quadrilaterals, you add up the side lengths to determine the perimeter
How to determine the width of the rectangle?The given parameters about the rectangle are
Perimeter = 17
Length = Width + 5
Rewrite the above equations as
l = w + 5
p = 17
The perimeter of a rectangle is
p = 2 x (l + w)
Substitute p = 17 in the above equation
So, we have
2 x (l + w) = 17
Substitute l = w+ 5 in the above equation
So, we have
2 x (w + 5 + w) = 17
Evaluate the like terms in the above equation
So, we have
2 x (2w + 5) = 17
Open the bracket in the above equation
So, we have
4w + 10 = 17
Evaluate the like terms in the above equation
So, we have
4w = 7
Divide both sides of the above equation by 4
So, we have
w = 1.75
Hence, the width of the rectangle is 1.75 inches
Read more about perimeter at
brainly.com/question/18019422
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Answer: hi, the answer is 1 in. 2 in., and 3 in.
Step-by-step explanation:
I took the quiz! :)
Jayden bought four shirts and three pairs of pants for $200. His
brother bought two shirts and two pair of pants for $116. How
much did a pair of pants cost? How much did a shirt cost?
drummer and a guitarist each wrote songs for their band. The guitarist wrote 8 fewer than
wice the number of songs that the drummer wrote. They wrote a total of 46 songs.
Vhich system of equations models this situation if the drummer wrote d songs and the
guitarist wrote g songs?
Answer:
g = 2d - 8
g + d = 46
please help me with math
Answer:
part one:
6 3
22 1
30 0
part two:
0.50*s+4*a=15
Step-by-step explanation:
part one:
firstly:
6 individual songs cost 6*0.50= 3 dollars
she has 15 dollars so after downloading 6 individual songs that cost 3 dollars together
it means that she has only 15-3=12 dollars to download full albums
so 12/4=3 albums
because 4 dollar cost one album and with 12 dollars she can buy just 3 albums
secondary:
she downloaded 1 album
and one album cost 1*4=4 dollars
she has 15 dollars ,after buying 1 album
she has 15-4=11 dollars
so she can download 11/0.50=22 individual songs
so she can download 22 individual songs.
the last one:
she downloaded 30 individual songs
that all together cost 30*0.50=15 dollars
but she has 15 dollars at all so she cant buy any album because she spent all her money in individual songs.
because 15-15=0 money left
part two:equation
0.50*s+4*a=15
You and your friend join a new gym that requires a one-time joining fee and monthly payments. Your friend chooses the 1 year plan and pays $687, while you elect the 18 month contract which costs $981. Use this information to determine the linear model used to calculate cost from months of membership.
Answer:
C = 99 + 49m
x = $99
y = $49
Step-by-step explanation:
Let
x = one time joining fee
y = monthly payment
Your friend:
1 year = 12 months
x + 12y = $687
You:
x + 18y = $981
x + 12y = 687 (1)
x + 18y = 981 (2)
Subtract (1) from (2)
18y - 12y = 981 - 687
6y = 294
Divide both sides by 6
y = 294 /6
= 49
x = $49
Substitute y = 49 into
x + 12y = 687
x + 12(49) = 687
x + 588 = 687
x = 687 - 588
= 99
x = $99
C = 99 + 49m
Where,
C = total charges
m = number of months
99 = a one time joining fee
49 = charges per month
16. During a sale, all T-shirts are $5 off. Barry used a coupon to get an additional $10 off his
purchase. If the original price of a T-shirt was $45, how much did Barry pay?
My teacher keeps adamantly telling me that the answer is D, and I insist it’s B. Am I right or is she right?
My reasoning, question asks for an ALWAYS true statement. Question gives 6 defined points that if plotted will show it will need to cross the x axis twice to connect all the points while being continuous. Yet functions aren’t always straight and simple so two is the bare mininum and there may be more as in between those defined points the line may have crossed multiple times. However D and C assume its exactly 2 or more than 2, therefore they are wrong. If D and C merged together then that would be better than B. Yet B is still correct on the terms of being an “always” correct statement.
the picture below is more or less some quick mockup of what that might be, and yes, 2 solutions or zeros is the bare minimum, because we know only 5 points on this continuous line, but it could have jumped a few times before going forwards and we are not privy to those points.
well, we can say that
f(x) has more than one zero
f(x) has exactly two zeros
I think within the circumstance both are acceptable, exactly 2 zeros is also acceptable, but is not exclusively the only valid choice, if any we could say "exactly 2 zeros" is a subset of the superset "more than one zero".
kinda like saying Sandra has Felines and she also has 3 cats, well, 3 cats are an exact number, but the plural Felines contains them, so both statements are equally valid, one is more general than the other, is all