Answer:18%
Step-by-step explanation:
List the key features of the quadratic equation y = x2 + 6x - 16.
A. x-intercepts: (-8,0) and (2,0), y-intercept: (0,–16), vertex: (-3,-25).
B. X-intercepts: (-8,0) and (2,0), y-intercept: (0,–6), vertex (-3,-25).
C. X-intercepts: (8,0) and (-2,0), y-intercept: (0.-16), vertex: (-3,-25).
D. x-intercepts: (-8,0) and (2,0), y-intercept: (0,16), vertex: (-3,-25).
Answer:
Correct choice is A
Step-by-step explanation:
Quadratic Function
The vertex form of the quadratic function has the following equation:
[tex]y=a(x-h)^2+k[/tex]
Where (h, k) is the vertex of the parabola that results when plotting the function, and a is a coefficient different from zero.
The x-intercepts are the points where the graph of the function crosses the x-axis, they are also called zeros or roots. They can be found by solving the equation y=0,
The y-intercepts are the points where the graph of the function crosses the y-axis. They can be found by setting x=0.
We are given the function:
[tex]y = f(x)=x^2+6x-16[/tex]
Find the y-intercept. x=0:
[tex]f(0)=0^2+6*0-16=-16[/tex]
y-intercept: (0,-16)
Find the x-intercepts, y=0. Solve the equation
[tex]x^2+6x-16=0[/tex]
Factoring:
[tex](x-2)(x+8)=0[/tex]
Which gives x=2, x=-8.
X-intercepts (2,0) (-8,0)
This leaves us only choice A as correct. But we'll compute the vertex also.
Completing squares:
[tex]y=x^2+6x-16=x^2+6x+9-16-9=(x+3)^2-25[/tex]
Comparing with the vertex form of the function, we have: h=-3, k=-25, thus the vertex is located at (-3,-25)
This confirms that the correct choice is A
Which of the following inequalities represents a solution set that has the
variable x being less than or equal to some number?
1. 8x +1 < 53
2. 4x + 7 > -5
3. 5x - 16 239
4. 4x + 34 38
Answer:
2.) 4x +7 > -5
Step-by-step explanation:
because
4x +7 > -5
4x > -5-7
4x > -12
x > -3
hope it will help you
plz follow me
Please help me?!!!!!
Answer:
No i do not agree with her
because 40/50 = 80out of 100
Step-by-step explanation:
Which shows the image of ΔRST after the rotation (x, y) → (y, –x)?
Answer: I need help pls
Step-by-step explanation:
Answer:
Its A.
Step-by-step explanation:
What are two different ways of factoring-5x-15? Select all that apply
Answer:
You can factor it by taking out the five, since it is a common factor of 5 and 15 (for example: 5(-x - 3) ), you can remove the negative value ( -1(5x+15) ), or your can remove the negative and the 5 (-5(x+3) ).
Step-by-step explanation:
Answer:
Divide each term in
−
5
x
=
15
by
−
5
.
−
5
x
−
5
=
15
−
5
Step-by-step explanation:
2 A sample of two items is selected without replacement from a batch. Describe the (ordered) sample space for each of the following batches: a. The batch contains the items {a, b, c, d}. b. The batch contains the items {a, b, c, d, e, f , g}. c. The batch contains 4 defective items and 20 good items. d. The batch contains 1 defective item and 20 good items.
Answer:
a.{a b, a c, a d, b c, b d, c d, b a, d c ,d b, c a, d a, c b}
b.{a b, a c, a d, a e ,a f, a g, b c, bd,be,bf,bg,cd,ce,cf,cg,fg,ba,ca,da,ea,fa,ga,cd,db,eb,fb,gb,dc,ec,fc,gc,fe,ge,gf,de,df,dg,ed,fd,gd,ef,eg}
c.{d d, dg, g d, g g}
d.{dg, g d, gg}
Step-by-step explanation:
We have to find the sample space
a. We are given items
{a, b, c, d}
Therefore, the sample space
{a b, a c, a d, b c, b d, c d, b a, d c ,d b, c a, d a, c b}
b. Items
Therefore, the sample space
{a b, a c, a d, a e ,a f, a g, b c, bd,be,bf,bg,cd,ce,cf,cg,fg,ba,ca,da,ea,fa,ga,cd,db,eb,fb,gb,dc,ec,fc,gc,fe,ge,gf,de,df,dg,ed,fd,gd,ef,eg}
c.
Defective items (d)=4
Good items(g)=20
Therefore, the sample space
{d d, dg, g d, g g}
d.
Defective items (d)=1
Good items(g)=20
Therefore, the sample space
{d g, g d, g g}
If BD bisects AC and AC bisects BD, is ABE ≅ CDE? Explain.
A. Yes; the triangles are congruent by AAS.
B. Yes; the triangles are congruent by ASA.
C. Yes; the triangles are congruent by SAS.
D. No; the triangles are not congruent.
Answer:
C. Yes; the triangles are congruent by SAS.
Step-by-step explanation:
From the question, we understand that:
AC and BD bisects one another
The bisection is better illustrated with a diagram. (See attachment).
From this point, I'll use the attachment as a point of reference.
From the attachment:
[tex]AE = CE[/tex] --- Side
and
[tex]BE = DE[/tex] --- Side
When both lines bisect one another, they form a pair of vertical angles [tex]\angle AEB[/tex] and [tex]\angle CED[/tex]
When we apply the theorem of vertical angles to this, we have that:
[tex]\angle AEB[/tex] [tex]=[/tex] [tex]\angle CED[/tex] --- Angle
At this point, we have established:
Two sides of ABE and CDE are congruent
and
One angle in each of ABE and CDE are also congruent
Hence, the triangles are congruent by SAS.
This graph shows the solution to which inequality?
(3,-1)
(-3,-3)
O A. yz 1 / 8x - 2
O B. ysx-2
O c. y> 1/3x-2
Answer:
[tex]y > \frac{1}{3}x - 2[/tex]
Step-by-step explanation:
Equation of a line:
The equation of a line has the following format:
[tex]y = mx + b[/tex]
In which m is the slope, and b is the y-intercept(value of y when x = 0).
In this question:
We have that when [tex]x = 0, y = -2[/tex]. So the line is given by:
[tex]y = mx - 2[/tex]
Finding the slope:
We have two points in the line, which are (-3,-3) and (3,-1). The slope is given by the change in y divided by the change in x. So
Change in y: -1 - (-3) = -1 + 3 = 2
Change in x: 3 - (-3) = 3 + 3 = 6
Slope: [tex]m = \frac{2}{6} = \frac{1}{3}[/tex]
Solution to the inequality:
The solution to this inequality is all the points above the dashed line, which means that the dashed line is not part of the solution. So
[tex]y > \frac{1}{3}x - 2[/tex]
Alan spent 3 hours building a model for his science project. This was 60% of the total time he spent on the project. How many hours did he work on the project?
Answer:
5 total hours
Step-by-step explanation:
3 ÷ 60% = 5
Alan worked 5 hours on the project.
What is a percentage?A percentage is a proportion or value that may be expressed as a fraction of 100. Furthermore, the notation "%" is used to denote it.
Let H be the hours he worked on the model.
Alan spent 3 hours building a model for his science project. This was 60% of the total time he spent on the project.
To find the H;
we use the percentage property,
3 = H x 60 / 100
H = 300 /60
H = 5 hours.
Therefore, 5 hours he worked on the project.
To learn more about the percentage;
https://brainly.com/question/24159063
#SPJ2
PLEASE HELP!!
If 6 is an element in the domain of f(x)=5x-25/4 what is the corresponding element in the range
Answer:
23 3/4
Step-by-step explanation
f(x)=5x-25/4 is a linear equation, and because of that its domain includes all real numbers, including 6. The corresponding number in the range is then f(6) = 5(6) - 6 1/4 = 30 - 6 1/4 = 23 3/4
4 brainliest
steal points and i report u
UvU good luck
Answer:
Pen:paper
Step-by-step explanation:
Answer:
pen and paper
Step-by-step explanation:
sorry if it is worng I am not good at this things
Brainliest if you pay for it
cheese and mustard for sale only $12.99 it is fresh crusty and yellow natural with skin from feet and very tasty get some cheese and mustard for sale make burgers with it make eggs with it make anything with it make toothpaste with it it makes it white and shiny call 811
Answer:
ohh thats interesting...
Step-by-step explanation:
Answer:
i'd pay for it--
*vomits in mouth*
Step-by-step explanation:
Simplify the expression using the order of operations.
(11 – 8): – 2 x 6
Answer=
50 POINTS AND BRAINLEST(if its right)
10−1.4x=10.84
What is the solution to the equation?
x = 0.84
x=−0.6
x = 10.6
x = 0.6
Answer:
X=-0.6
Step-by-step explanation:
Hope it help
Answer:
The answer is 0.6 :)
Step-by-step explanation:
tell whether the sequence is arithmetic . if it is what is the comon difference -12, -7, -2 , 3
Answer:The derivative would relate to common differences or slope on a graph or acceleration of slope aka speed
Here +5
Step-by-step explanation:
The formula for the volume of a right cylinder is V = (pi)r^2h. Find the rate of change of the volume when r = 2 inches if dr/dt = 1/8 in./min and h = 5r. Show all your work.
Answer:
The volume is increasing at a rate of 15π/2 squared inches per minute.
Step-by-step explanation:
The formula for the volume of a right cylinder is:
[tex]V=\pi r^2h[/tex]
We want to find dV/dt when r = 2, dr/dt = 1/8 in/min, and h = 5r.
Since h = 5r:
[tex]V=\pi(r)^2(5r)=5\pi r^3[/tex]
Differentiate both sides with respect to t:
[tex]\displaystyle \frac{dV}{dt}=15\pi r^2\frac{dr}{dt}[/tex]
Since r = 2 and dr/dt = 1/8:
[tex]\displaystyle \frac{dV}{dt}=15\pi(2)^2\Big(\frac{1}{8}\Big)=\frac{15\pi}{2}[/tex]
So, the volume is increasing at a rate of 15π/2 squared inches per minute.
SOMEONE HELP PLEASE!!!!
Answer:
c
Step-by-step explanation:
should be c
please help!!!! solve for x showing EACH STEP
please!!
cant see the pic
please type out the question
so that i can help u
Answer:
[tex] x = zk + z + \mu[/tex]
Step-by-step explanation:
[tex]z = \frac{x - \mu}{k + 1} \\ \\ z(k + 1) = x - \mu \\ \\ z(k + 1) + \mu =x \\ \\ \red{ \bold{ x = zk + z + \mu}}[/tex]
IMPORTANT PLEASE!! 10 POINTS :)
I’m trying to figure out the domain and range of this, could someone explain and give the answer? Thank you
Answer:
The domain is all the possible inputs for this function. The range is all the possible outputs for this function.
The line starts at the x-value of 0 and ends at the x-value of 12. Therefore, your domain is D: [0, 12].
The line starts at the y-value of 9000 and ends at the y-value of 0. Therefore, your range is R: [0, 9000].
£1 =€1.17
how many euros would I have if given £280
Answer:
u gotta multiple 280 with 1.17 which results 327.6
Answer:
since 1£ =1.17:1.17×280=327.6The hanger image below represents a balanced equation
Answer:
9.1 = a + 4
Step-by-step explanation:
Equations
If the hanger image represents a balanced equation, then the left and the right 'weights' on the hanger must be equal.
On the left side, there is a weight of 9.1, and on the right side, the weight is a+4. Balancing the hanger, we obtain the required equation:
9.1 = a + 4
Answer:
the equation would be 9.1 = a + 4
Step-by-step explanation:
khan academy
What is the length of the line TR
Answer:
15
Step-by-step explanation:
If the other triangle is part of the problem the triangle increased by 2.5
2.5 * 6 is 15
so 15 is the length of TR
Answer:
[tex]\Large \boxed{\sf 15}[/tex]
Step-by-step explanation:
Both triangles are similar so the two corresponding sides are proportional.
[tex]\displaystyle \frac{4}{6} =\frac{10}{TR}[/tex]
[tex]TR= 15[/tex]
Subtract 1/2h -1 from 3/4 h -4
A.1/4h+3
B.-1/4+5
C.1/4h+5
D.-1/4h+5
Help plzzzz
Answer:
It would be option A.
Step-by-step explanation:
1/4h + 3
The average daily temperature, t, in degrees Fahrenheit for a city as a function of the month of the year, m, can be modeled by the equation graphed below, where m = 0 represents January 1, m = 1 represents February 1, m = 2 represents March 1, and so on. If the equation is t = a cosine (StartFraction pi Over 6 EndFraction (m + 1)) + k, what are the values of a and k?
On a coordinate plane, a curve starts at (0, 42). It increases to (5, 80) and then decreases to (11, 40).
a = –60; k = 20
a = –50; k = 30
a = –30; k = 50
a = –20; k = 60
Answer:
D
Step-by-step explanation:
edge
Answer:
The answer is D.) as you can see by the millions of comments under the question + the answer above
Which two quadrants have negative x-values?
Answer:
II and III ( 2 and 3)
Step-by-step explanation:
The quadrants are numbered counter clockwise, with the top right being number I
II I
III IV
The ones having negative x values are II and III ( 2 and 3)
11.
D
Name the postulate, if possible, that makes the triangles
congruent.
E
A
B
a) SSS
b) SAS
c) ASA
d) Not Possible
Answer:
Step-by-step explanation:
The two angles at E that are enclosed by DE and CE (<DEC) and AE and BE (AEB) are vertically opposite. Therefore you have 2 sides and an included angle.
The Postulate is SAS
The Perimeter of a rectangle is 64 cm. The length is 2cm more than 1.5 times the width
Answer:
The length is 20
The width is 12
Step-by-step explanation:
Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)
List the following numbers from greatest to least: -5, 4, 0, |-3|, -6, 2
6th grade integers
Answer:
4, 2, |-3|, 0, -5, -6
Step-by-step explanation:
Plz hurry
Choose the words that best describe a hexagon.
A) 3 right angles, 3 sides
B) 6 sides, 6 angles
C) 6 angles, 3 parallel sides
D) 5 sides, 6 angles
A local writing center offers a new session of creative writing classes every 16 days.
A competing writing center offers a new session of creative writing classes every
24 days. Today, both writing centers have started a new session of creative writing
classes. In how many days will both writing centers start a new creative writing
session on the same day? Show or explain how you know.
Answer:
48 days
Step-by-step explanation:
If you write out the multiples for 16 and 24, you just have to find the smallest multiple that appears in both numbers.
16, 32, 48
24, 48
