Answer:
The vertex is at (-4, -18) (Fourth answer choice)
Step-by-step explanation:
The standard vertex equation of a parabola is f(x) = (x - h)^2 + k.
"Completing the square" is one of the faster and better ways of determining the vertex:
f(x) = x^2 + 8x - 2 => f(x) = x^2 + 8x + 16 - 16 - 2 => (x + 4)^2 - 18. Comparing this to (x - h)^2 + k, we see that h = -4 and k = -18. The vertex is at (-4, -18).
From the moment the first car started how many hours will it take the second car to catch up to the first
Answer:
HELP
Step-by-step explanation:
Assignment
Health Club Fees You are choosing between two health clubs Club A offers membership for a fee of $7 plus a monthly fee of $23. Club B offers membership for a
tee of $35 plus a monthly fee of $16. After how many months will the total cost of each health club be the same?
in month(s) the total cost of each health club will be the same
Answer: The solution is (4,99) which means for in 4 months the total cost of each health club will be the same.
Step-by-step explanation:
Club A can be represented by the equation y = 23x + 7 where x is the number of months and y is the cost.
Club B can be represented by the equation y = 16x + 35 where x is the number of months and y is the cost.
23x + 7 = 16x + 35 set the equation equal each other to solve for x
-7 -7
23x = 16x + 28
-16x -16x
7x= 28
x= 4 now we know the value of x is 4 so we will put it into the equation and solve for y
y= 16(4) + 35
y= 99
What is “rate of change”? Hint: it’s NOT “y=mx+b.” What term (begins with an S!) is it very closely related to?
Answer:
Standard Form
Step-by-step explanation:
Answer:
Rate of change refers to the change in one variable (i.e. independent variable) as a result of a change in another (i.e. dependant variable). A very common example is speed as it refers to the change in distance per a change in time. Graphically representing the relationship between two variables, the rate of change will be the gradient or slope of the graph.
If f(x) = 5x^3 and g(x) = x+1, find (f•g)(x).
Answer:
(fg)(x) = 5x^4 + 5x^3
Step-by-step explanation:
(fg)(x) = (5x^3)(x+1)
(fg)(x) = 5x^4 + 5x^3
what is the answer to -12= -2x-4x
Answer:
x = 2
Step-by-step explanation:
-12 = -2x - 4x
-12 = - 6x
x = -12/(-6) = 2
Answer:
Step-by-step explanation:
Each of Mrs. Moore's students uses a certain number of pencils per week
of school. There are 22 students in Mrs. Moore's class. If there are 36
weeks of school and Mrs. Moore's students use 3168 pencils in a school
year, how many pencils does each student use per week?
Answer:
4
Step-by-step explanation:
3,186/22= 144
144/36= 4
Determine the values of the variables in isosceles trapezoid CHLE below.
Enter numbers only, do not enter units.
Answer:
The values of variables x and m are 11 and 17
Step-by-step explanation:
The question has missing details as the diagram of the trapezoid isn't attached.
(See attachment).
Given that trapezoid CHLE is isosceles then the angles at the base area equal (4x)
And
The angles at the top are also equal
8m = 11x + 15
At this point, the four angles in the trapezoid are 8m, 11x + 15, 4x and 4x..
The sum of interior= 360
So,
11x + 15 + 8m + 4x + 4x = 360
Collect like terms
11x + 4x + 4x + 8m = 360 - 15
19x + 8m = 345
Substitute 11x + 15 for 8m
19x + 11x + 15 = 345
30x + 15 = 345
30x = 345 - 15
30x = 330
Divide through by 30
30x/30 = 330/30
x = 11
Recall that 8m = 11x + 15;
8m = 11(11) + 15
8m = 121 + 15
8m = 136
Divide through by 8
8m/8 = 136/8
m = 17
Hence, the values of variables x and m are 11 and 17
How many 9’s are there between 1 and a 100?
Answer:
20
Step-by-step explanation:
There are 21 cards numbered 1 to 21.if you pick a card what is the probability that choose an odd number or a two?
1/2
4/7
11/21
44/147
Answer:
4/7
Step-by-step explanation:
There are 11 odd numbers less than or equal to 21.
There is 1 two.
11 + 1 = 12 ways
12 outcomes/ 21 total outcomes =
4/7
30 points
In two or more complete sentences, discuss the advantages and disadvantages of investing in a CD versus investing in a basic savings account.
(50 points) What is the volume of the cone in terms of π?
A) 8π in3 B) 16π in3 C) 24π in3 D) 32π in3
Answer
is 8pi
it doesnt want you to actually times pi but leave pi alone
Step-by-step explanation:
i took the test got it wrong at first and reviewed it it said 8pi
The Volume of cone in terms of π is: 8π in³.
What is the Volume of a Cone?Volume of any cone with radius, r, and height, h, is determined using the formula: V = 1/3πr²h.
Given:
Radius (r) = 2 in.Height (h) = 6 in.Thus:
Volume of cone = 1/3(π × 2² × 6)
Volume of cone = 1/3(24π)
Volume of cone = 8π in³.
Learn more about volume of cone on:
https://brainly.com/question/13677400
find the missing angle in the triangle
Answer:
60
Step-by-step explanation:
Since all of the sides of this triangle are shown to be congruent, this must be an equilateral triangle. In an equilateral triangle, all of the angles are equal to 60 degrees. Therefore, x is 60. Hope this helps!
Answer:
60
Step-by-step explanation:
If all sides all have the same angles then we will divide 180 by 3 which will give us our answer 60.
15)
Which expression is a PRODUCT?
A)
8(6+ 3)
B)
8
(6 + 3)
5(2) + 2(6 x 3)
D)
5(2 + 3) - 4(8 + 1)
Step-by-step explanation:
the answer is
A,72
B,739
D,-11
PLEASE!!!
A survey asks a random sample of 2500 adults in Ohio if they support an increase in the state sales tax from 5.25% to 5.50%, with the additional revenue going to education. Let X denote the number in the sample that say they support the increase. Suppose that 30% of all adults in Ohio support the increase.
9. The standard deviation of X is
a. 22.91.
b. 27.39.
c. 5255.
d. 750.
10. The probability that X is at least 800 is
a. less than 0.0001.
b. about 0.015.
c. 0.025.
d. 0.05.
Answer:
Step-by-step explanation:
a) Total number of people surveyed, n = 2500
Let X denote the number in the sample that say they support the increase. If 30% of all adults in Ohio support the increase, it means that the percentage of all adults in Ohio that did not support the increase is
100 - 30 = 70%
This is a binomial probability because there are only two possible outcomes. Therefore,
Probability of success, p = 30/100 = 0.3
Probability of failure, q = 1 - p = 1 - 0.3
q = 0.7
Standard deviation = √npq
Standard deviation = √(2500 × 0.3 × 0.7) = 22.91
b) The probability that x is at least 800 is expressed as
P(x ≥ 800)
We would determine the probability by using the binomial probability calculator. Therefore,
P(x ≥ 800) = 0.01577
b. about 0.015.
caroline bought 6 pieces of gold ribbon. each piece was 3/5 of a yard long. How many yards of ribbon did she buy in all?
Answer:
= 3 3/5 yards
Step-by-step explanation:
If 1 piece = 3/5 yard
What about 6 pieces = ?
= (6 x 3/5) ÷ 1
= 18/5 ÷ 1
= 18/5
= 3 3/5 yards
Find the value of x in the figure. Enter the number ONLY!
Answer:
69
Step-by-step explanation:
Solve the quadratic equation.
2x2 − 11x − 21 = 0
A) −
3
2
and 7
B)
3
2
and −7
C) −
2
3
and
1
7
D)
2
3
and −
1
7
Answer:
A) -3/2 and 7
Step-by-step explanation:
this equation factors to (2x+3)(x-7)
the goal is to solve for 0
if 2x+3=0 then x=-3/2
if x-7=0 then x=7
What is the y-coordinate of the solution of the system of equations? {y=3x−26 2x−y=19 Enter your answer in the box.
Answer:
The y-coordinate of the solution is -5.
Step-by-step explanation:
I graphed the equations on the graph below to find the solution of the system.
If this answer is correct, please make me Brainliest!
BRAINLIEST MARKED!! PLSS HELP ASAPP!! Plz show all work!!!
Answer:
551.7
Step-by-step explanation:
it is the square + the circle
15*25+πr²
375+π(15/2)²
375+π225/4
375+176.625=551.625
Answer:
E) 551.7 ft Squared
Step-by-step explanation:
First find the area of the rectangle. 15 x 25 = 375. Then remove the rectangle so your left with a circle with a diameter of 15. Find the area of the circle. Pi x R squared. Pi x 7.5 squared = 176.7 . Then add the areas together. 375 + 176.7 = 551.7
Read the lines from Langston Hughes's poem ", Too, Sing America."
Tomorrow,
I'll be at the table
When company comes.
The lines promoted social change in the United States in the first half of the twentieth century because they spoke about
Ob
equal rights for African Americans.
European Americans' views of African Americans.
parties hosted by European Americans.
African Americans working as servants.
Od
Answer:
Answer: D) equal rights for African Americans
Step-by-step explanation:
Can anyone help explain this to me lol-
-Determine if the given side lengths could be used to form a unique triangle, many different triangles, or no triangles.
7.4 cm, 8.1 cm, 9.8 cm
A.unique triangle
B.many different triangles
C.no triangles
Thanks to anyone who helps-
Answer:
Since you are given ALL three sides, then you will ALWAYS be able to make ONLY unique triangles. ^‿^
I'm in quite in a bit of a pickle... so, please? and I never forget to mark brainiest
The correct answer is a translation.
A rotation would change the direction, a reflection would change the direction, and a dilation would change the size.
I hope this helps :)
Answer:
translation
Step-by-step explanation:
PLEASE HELP WILL MARK BRAINIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Question 3 (5 points)
Look at the frequency table. Using the Addition Rule P(A and B) = P(A) + P(B) – P(A and B), what is the probability someone being a man said dog? P(dog|man)
Answer:
28/50
Step-by-step explanation:
You look at the total amount of men there are, (50)
then amount of dog in the column of men, (28)
So (dog|man) = 28/50
ask questions if u need anything else
simplify
x+20−16
20+x−16
x+16−20
16+x−20
20−(x+16)
20−(x−16)
x−20−16
20−x−16
Answer:
x+4
4+x
x-4
-4+x
4-x
36-x
x-36
4-x
Step-by-step explanation:
what is the quotient of the equation Below in simplest form? State any restrictions on the variable
Answer:
A
Step-by-step explanation:
Factor the numerators/ denominators where possible, that is
[tex]\frac{-(x-5)}{(x+4)(x-1)}[/tex] ÷ [tex]\frac{(x-5)(x+3)}{(x+4)(x+1)}[/tex]
Leave the first fraction, change division to multiplication and turn the second fraction upside down.
= [tex]\frac{-(x-5)}{(x+4)(x-1)}[/tex] × [tex]\frac{(x+4)(x+1)}{(x-5)(x+3)}[/tex]
Cancel the factors (x - 5) and (x + 4) from numerator/denominator
= [tex]\frac{-1}{(x-1)}[/tex] × [tex]\frac{(x+1)}{(x+3)}[/tex]
= [tex]\frac{-(x+1)}{(x-1)(x+3)}[/tex] , x ≠ 1, x ≠ - 3
PLZ HELP IM TIMED!!!
Which fraction is equivalent to -(7/8)?
A. -7/8
B.-(-7/8)
C.-(7/-8)
D.-7/-8
Answer:
It should be A
Step-by-step explanation:
multiply the - by 7/8 to get -7/8
Answer:A
Step-by-step explanation:
A cube has an edge measuring 6 cm. Find its volume.
Answer:
216
Step-by-step explanation:
Hope this helps.
Answer:
Side of cube = 6 cm
Volume = side ^3 = 6^3 = 216 cm^2
write an equation that represent the line. ASAP !!!!!! 40 POINTS + BRAINLIEST
Answer:
y = (3/2)x + 3
Step-by-step explanation:
slope is rise over run so 3 up and, 2 right
y-intercept is at (3,0)
HELP
What is the longest line segment that can be drawn in a right rectangular prism that is 15cm long, 8 cm wide, and 7 cm talk
Answer:
=18.38cm
Step-by-step explanation:
The longest line segment in a right rectangular prism is the diagonal that connects two opposite vertices. On the first diagram attached, the green line segment connecting A and G is one such diagonals. The goal is to find the length of segment .
Look at the attached picture. The longest segment we can draw is AG (or any of its equivalent: BH, CE, DF). Let's focus on AG for example.
We can think of AG as the hypotenuse of triangle ACG. So, we need AC first. AC is itself the hypotenuse of triangle ABC,
so we have,
[tex]AC^2 = AB^2+BC^2=8^2+7^2=113[/tex]
Now we can resume where we stopped with triangle AGC, and we have
[tex]AG=\sqrt{AC^2+CG^2}=\sqrt{113+225}=\sqrt{338}[/tex]
=18.38cm
What is the true solution to the logarithmic equation?
log2[log2 (4x)) - 1
x=-4
X-0
X-2
X=4
Answer:
x=4
Step-by-step explanation:
Answer:d
Step-by-step explanation:
