Answer:
[tex]f(x)=2x^2-4x-2[/tex]
Step-by-step explanation:
Standard form of a quadratic equation: [tex]y=ax^2+bx+c[/tex]
[tex]\begin{aligned}f(x) & =2(x-1)^2-4\\& =2(x^2-2x+1)-4\\& = 2x^2-4x+2-4\\& = 2x^2-4x-2 \end{aligned}[/tex]
What is the location of point G, which partitions the directed line segment from F to D into an 8:5 ratio?
A number line goes from negative 5 to 10. Point D is at negative 4 and point F is at 9. A line is drawn from point D to point F.
1
2
3
4
Answer:
A) 1
Step-by-step explanation:
We want to find G such that ...
(G-F)/(D-G) = 8/5
5(G-F) = 8(D-G)
5G -5F = 8D-8G . . . . eliminate parentheses
13G = 8D +5F . . . . . . add 5F +8G to both sides
G = (8D +5F)/13 . . . . divide by the coefficient of G
G = (8(-4) +5(9))/13 = (-32 +45)/13 = 13/13
G = 1 . . . . . . matches choice A
Answer:
A
Step-by-step explanation:
EDGE 22
Which statement describes the value of the expression 7 times (24,672 - 589)?
168,581
________________________________________________________
SolveFollow PEMDAS
parenthesesexponentsmultiplicationdivisionadditionsubtractionAlways start with the top of the list, parentheses. Prioritize anything in parentheses.
[tex](24,672 - 589)[/tex]
start in hundreds place, then subtract from there.
[tex](24,672 - 589) = 24,083[/tex]
Next, multiply by 7.
[tex]24,083 * 7 = 168,581[/tex]
________________________________________________________
Questions?Ask in the comments box.
Resuelva los siguientes sistemas de ecuaciones 3x+2y₌75x–2y₌1
1)
[tex]x = 25 - \frac{2}{3} y[/tex]
[tex]y = 37.5 - 1 \frac{1}{2} x[/tex]
2)
[tex]x = 1 + 2y[/tex]
[tex] y = \frac{1}{2} - \frac{1}{2} x[/tex]
Please help me with this question
And I will give you stars. (-:
Please include full explanation and working. Thank you! :-)
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's solve ~
Total Mini - Easter eggs = 1345
Number of students = 26
So, let's find how many eggs will each student get through division ~
[tex]\qquad \tt \dashrightarrow \: \dfrac{1345}{26} = 51 +remainder= 19[/tex]
So, each student will get 51 mini - Easter egg each.
And there would be 19 remaining eggs in there ~
A full-length mirror cost $144.99 when the cpi was 163. what will a full-length mirror cost when the cpi is 211, to the nearest cent? a. $305.93 b. $214.59 c. $187.68 d. $88.95
The cost of a full-length mirror when the cpi is 211 is $187.68. Then the correct option is C.
What are ratio and proportion?A ratio is an ordered couple of numbers a and b, written as a/b where b can not equal 0. A proportion is an equation in which two ratios are set equal to each other.
A full-length mirror cost $144.99 when the cpi was 163.
The cost of a full-length mirror when the cpi is 211, to the nearest cent will be
[tex]\dfrac{x }{211} = \dfrac{144.99}{163}\\\\x \ \ \ = \$187.68[/tex]
More about the ratio and the proportion link is given below.
https://brainly.com/question/14335762
!!!!????????!!!!!??????
Answer:
h = 19 mm
Step-by-step explanation:
the volume (V) of the prism is calculated as
V = Ah ( A is the area of the base and h the height )
the base is a regular pentagon whose area (A) is calculated as
A = [tex]\frac{1}{2}[/tex] pa ( p is the perimeter and a the apothem )
p = 5 × 12 = 60 mm and a = 5 mm , then
A = [tex]\frac{1}{2}[/tex] × 60 × 5 = 30 × 5 = 150 mm²
given V = 2850 , then
150h = 2850 ( divide both sides by 150 )
h = 19 mm
Which of the following is equivalent to (6x^4)(3x^2)?
1.(6*3)x^(4*2)
2.(6+3)x^(4*2)
3.(6*3)x^(4+2)
4.(6+3)x^(4+2)
Answer:
3.
Step-by-step explanation:
remember, when we multiply the same basic term, we add the exponents.
so,
x⁴×x² = x⁶
now, when there are other factors, we need to multiply them in too.
so,
(6x⁴)(3x²) = 6×3×x⁴×x² = 18x⁶ or simply (6×3)x^(4+2)
Yo I need to bring up my math grade bad so
4x-5y>20
(please show it graphed already :D
Here is how it is graphed:
x = 2y – 1
2x + y = 13
Solve this system of equations.
Answer:
(5,3)
Step-by-step explanation:
Use desmos. I'll attach the graph below.
Solution is:
(5,3)
What is the surface area of the figure below
Answer: Its 120 cm
Step-by-step-explenation:
All you have to do is multiply
3x2=6
6x5=30
30x4=120
(x-5)^2+2=11 solve by using square roots.
Work Shown:
[tex](x-5)^2+2=11\\\\(x-5)^2=11-2\\\\(x-5)^2=9\\\\x-5=\pm\sqrt{9}\\\\x-5=\pm3\\\\x=5\pm3\\\\x=5+3 \text{ or } x = 5-3\\\\x=8 \text{ or } x = 2\\\\[/tex]
Find the probability of rolling a 6 -sided dice and getting a number that is a divisor of 20.
Explanation:
On the die, the divisors or factors of 20 are: 1, 2, 4, 5
We have 4 faces we want out of 6 faces total
So 4/6 = 2/3 is the probability of getting a divisor of 20.
A. Find the perimeter of each figure
(Math) [please answer this correctly] thank you
How do you quarter pi
Answer:
I think its this answer I believe 0.7853982 if this is correct can u mark me brainliest
What does AC=?
Round your answer to the nearest hundredth.
Please help
Answer: About 3.06
Step-by-step explanation:
We can use trigonometry functions to solve for AC. Let the ?, representing AC, be "x" in our mathematical work.
Since we have the hypotenuse and x is adjacent to the angle given, I am going to use cosine.
cos(θ) = [tex]\frac{adjacent}{hypotenuse }[/tex]
cos(40) = [tex]\frac{x}{4}[/tex]
0.766 ≈ [tex]\frac{x}{4}[/tex]
3.06 ≈ x
x ≈ 3.06
8x + 8 + -3
I need help finding this question
Answer:
8x+5
Step-by-step explanation:
8x + 8 + (-3) = 8x+8 - 3 = 8x + 5.
Hope this helps!
Also, please mark as brainliest!
Answer:
The answer is 8x+5
Step-by-step explanation:
1. Combine like terms so it will be 8 and -3
2. this will leave you with 8x+5 which you cannot do anything further.
Circle e has a radius of 40 inches with m arc ABC=324 degrees. Find the exact length of arc ABC.
Q6. The first three terms of an arithmetic series are 60, 4p and 2p-6 respectively (a) Show that p= 9 (b) Find the value of the 20th term of this series. (c) Prove that the sum of the first n terms of this series is given by the expression 12n (6 - n)
Answer:
p=9
t20=516
Step-by-step explanation:
a
4p-60=2p-6-2p
6p=54
p=9
b
a=60.. d=24
t20=a+19d
=60+19×24
=516
c
Sn=12.5+12.3+12.1
=12n(6-n)
and right triangle sin (40 - x)° equals cos(3x)° degrees what is the value of x.
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's solve ~
[tex]\qquad \sf \dashrightarrow \: \sin(40 - x) = \cos(3x) [/tex]
[tex]\qquad \sf \dashrightarrow \: \cos\{90 - (40 - x ) \} = \cos(3x) [/tex]
[tex]\qquad \sf \dashrightarrow \:90 - (40 - x) = 3x[/tex]
[tex]\qquad \sf \dashrightarrow \:90 - 40 + x = 3x[/tex]
[tex]\qquad \sf \dashrightarrow \:3x - x = 50[/tex]
[tex]\qquad \sf \dashrightarrow \:2x = 50[/tex]
[tex]\qquad \sf \dashrightarrow \:x = 25 \degree[/tex]
If f(x) = x-3/x and g(x) = 5x-4, what is the domain of (f•g)(x)?
Answer: x cannot equal 4/5 (3rd choice)
Step-by-step explanation:
f(g(x)) = f(5x-4)
plug 5x-4 into all values of x in the f(x) equation
f(5x-4)= ((5x-4) - 3))/ (5x-4)
f(5x-4) = (5x-7)/(5x-4)
set denom = 0 and solve for x to find domain
5x-4 = 0
5x = 4
x = (4/5)
x cannot equal (4/5)
Help PLEASE
(explanation included please.)
Answer:
x = 12.714
Step-by-step explanation:
Vertical angles sum to 180 degrees
8x-12 + 6x + 14 = 180
solve for x = 12.714
Item
Small pizza (plain) $8.99
Large pizza (plain) $13.99
Each topping $0.75
Anna ordered a large pizza
with 2 toppings. What was the total cost of her pizza Show your equation and the total cost
Part B
Anna gave the clerk two 10- dollar bill. She received $4.51 in change. Anna said the clerk was incorrect and should have given her 14.51. Who is correct Explain your answer and include an equation or example using money to support your answer.
Answer:
$15.49
Step-by-step explanation:
0.75 x 2 = 1.5
1.50 + 13.99 = 15.49
The clerk is correct; Anna only gave 20 dollars (10x2). 20 - 15.49 = 4.51, which then would be the correct change.
I need help I really don't get this ?
Answer:
466,207,795.2 cm^3
Step-by-step explanation:
The equation to find both, the volume of the sphere and cube, are given.
The sphere:
V = [tex]\frac{4}{3}[/tex]πr^3
the radius is 7 ft therefore
V = [tex]\frac{4}{3}[/tex]π7^3
The problem says to use 3 for pie therefore
V = [tex]\frac{4}{3}[/tex](3)7^3
7 to the power of three is
V = [tex]\frac{4}{3}[/tex](3)343
[tex]\frac{4}{3}[/tex] and 3 cancel each other out to equal 4
V = 4 × 343
V = 1,372 ------> volume of sphere
______________________________________________
The cube:
V = Legth × width × height
V = 12 × 12 × 12
V = 1,728 ------> volume of cube
_______________________________________________
Total volume:
1,372 + 1,728 = 3,100 ft^3
But the question asks for the mesurement in centimeters so convert feet to centimeters using a calculator :)
3,100 ft^3 = 87,782,080 cm^3
Which measure of spread is least affected by the long tail in the
graph?
Vehicle A
>
0
1
2
2
3
5
6
0)
7
CO
9
4
Repairs per Vehicle
MAD
IQR
Range
Answer:
IQR
Step-by-step explanation:
I got it right :)
4x+y=17
7y=4x-9
Please show work!
I'm very desperate right now for this answer!
Answer:
x=4
y=1
Step-by-step explanation:
4x=7y+9
4x+y=17
7y+9+y=17
8y=17-9
8y=8
y=1
so
4x=7*1+9
4x=16
x=16/4
x=4
A company uses paper cups shaped like cones for its water cooler. Each cup has a height of 10cm, and the base has a radius of 4.5. The cooler has 16956cmCubed of water in it. How many cups can be filled from the cooler?
Use 3.14 for [tex]\pi[/tex] , and do not round your answer.
Answer: the answer is 150 :)
Step-by-step explanation: Volume of a cone is
V = 1/3 pi * r^2 *h
The volume of one cone is
pi = 3.14
r = d/2 = 6/2 =3
h=9
Substitute what we know
V = 1/3 * (3.14) * (3^2) * (9)
= 27* 3.14
= 84.78 cm^3
The water cooler has 12717 cm^3 water
Divide the water by the volume of the paper cup cone and we will know how many paper cup cones we can fill, assuming we fill them completely.
12717/ 84.78 = 150
We can fill 150 paper cup cones. have a great day!
please help i am not smart
Answer:
Step-by-step explanation:
Number of shells she had in the begining = 40
Number of shells collected in the morning and at noon = 6 + 3 = 9
Now the number of shell at the end = 40 + 9 = 49
Icreased shells = 49 - 40 = 90
[tex]\text{Percentage increase = $\dfrac{49- 40}{40}*100$}[/tex]
[tex]=\dfrac{9}{40}*100\\\\\\= 22.5 \ \%[/tex]
Why does 2pi radians equal 360 degrees?
Answer:
So there are 2 pi radians in one revolution and since there are also 360 degrees in one revolution, this gives us a way to convert from radians to degrees. 2 pi radians equals 360 degrees or you can divide both sides by 2 and use pi radians equals 180 degrees.
There's a picture with all the info
Answer:
3 un wer
8 lnter
12 jin
Step-by-step explanation:
of the corret anwer
What is the surface area of the triangular prism shown?
A triangular prism. The triangle faces have base 14 meters and height 24 meters. The rectangular bottom has dimensions 10 meters by 14 meters. The height of the prism is 25 meters.
558 m2
976 m2
1,680 m2
1,750 m2
Answer: 726 meters²
Step-by-step explanation:
We will need to find the area of five shapes. The base, the top/bottom, and the two triangle sides.
The area of a triangle is B * H / 2. Since we have two congruent triangles, I will not be dividing by two.
14 * 24 = 336 meters²
-> This value is for both of the triangle faces
The rectangular bottom is L * W
14 * 10 = 140 meters²
The two rectangles for the top and bottom will also be L * W. Since these are congruent, I will find the area of one and multiply it by two.
10 * 25 = 250 meters²
Now I will add them all together for the total surface area:
336 + 140 + 250 = 726 meters²
-> I don't see this as an option choice listed. I will review my work, but I am currently confused on the options they provide.
