Answer:
The vertex form parabola y = 2( x+4)² -37
Step-by-step explanation:
Step(i):-
Given parabola equation j(x) = 2x² + 8x -5
Let y = 2x² + 8x -5
⇒ y = 2(x² + 2(4x)+(4)²-(4)²) -5
By using (a + b)² = a² +2ab +b²
y = 2(x+4)²- 32 -5
y = 2 ( x-(-4))² -37
Step(ii):-
The vertex form parabola y = a( x-h)² +k
The vertex form parabola y = 2(x+4)² -37
There were 60 multiple-choice questions and he answered 60% of them correctly. How many problems did Garrett get right?
Answer:
Garrett gets 36 problems right.
Step-by-step explanation:
Given that,
Total number of MCQs = 60
Correct answers = 60%
We need to find how many problems did Garrett get right. It can be calculated by finding 60% of 60 such that,
[tex]C=\dfrac{60}{100}\times 60\\\\=36[/tex]
So, Garrett gets 36 problems right.
he figure below shows lines r, n, and p intersecting to form angles numbered 1, 2, 3, 4, 5, and 6. All three lines lie in the same plane.
Based on the figure, which statement provides enough information to conclude that line ris perpendicular to line p?
O22-00
26 009
21 +2600
23 24 00"
Seee the picture to get clear question!!
Answer:
B and F
Step-by-step explanation:
Angle 1 + Angle 2
Angle 3
Angle 4 + Angle 5 (choice F)
Angle 6 (choice B)
We eliminate choices (A), (D), and (E) as these would make p perpendicular to n rather than r. And we can eliminate choice (C) as Angles 3 and 6 are vertical angles, so they would have equal measure regardless of whether any of the lines were perpendicular. The correct answers are (B) and (F).
A house call fee costs $95.
The plumber chargers $125 per hour.
Which one is the slope and which one is the y intercept
Answer:
$95 is the slope
$125 is the y-intercept
Answer:
slope os the 125 per hour and the y intercept is the 95
Step-by-step explanation:
The slope is 125 it will increase by every hour and the y intercept is 95 because it is the starting fee, it will not increase.
An airplane takes 3 hours to travel a distance of 2700 miles with the wind. The return trip takes 5 hours against the wind. Find the speed of the plane in still air and the speed of the wind.
Answer:
720 mph, 180 mphStep-by-step explanation:
Let the speed of the plane is x, speed of the wind is y
Speeds add up when in directions are same and subtract when opposite
Then as per the given we have equations:
3( x + y) = 27005(x - y) = 2700Simplify the equations:
x + y = 900x - y = 540Sum the two equations and solve for x:
2x = 900 + 5402x = 1440x = 720 mphFind the value of y:
y = 720 - 540 = 180 mphSpeed of the plane is 720 mph
Speed of the wind is 180 mph
Calculate and express your answer in decimal form.
1.) 3/4⋅200
2.) (0.2)⋅40
3.) (0.25)⋅60
Answer:
1. 150
2. 8
3. 15
Step-by-step explanation:
1. [tex]\frac{3}{4}* \frac{200}{1}[/tex] = [tex]\frac{600}{4}[/tex] = [tex]150[/tex]
2. [tex]0.2 = \frac{1}{5}[/tex]
[tex]\frac{1}{5} * \frac{40}{1}[/tex] = [tex]\frac{40}{5} = 8[/tex]
3. [tex]0.25 = \frac{1}{4}[/tex]
[tex]\frac{1}{4} * \frac{60}{1}[/tex] = [tex]\frac{60}{4} = 15[/tex]
PLZ MARK AS BRAINLIEST
Is the following sequence a geometric sequence?
4, 12, 36, 108
Answer:
yes it is
Step-by-step explanation:
it is since there is a common ratio between each term
10 sin A + 16 = 3 sin A + 9
Step-by-step explanation:
10 sin A = 3 sin A -7 (subtracting 16 from each side)
10 sin A - 3 sin A = -7 (subtracting 10 sin A from 3 sin A to simplify the equation)
7 sin A = -7 (dividing by 7 to get sin A)
sin A = -1
sin^-1(sin A) = sin^-1(-1) = [tex]\frac{3pi}{2}[/tex] = [tex]-\frac{pi}{2}[/tex](applying the inverse function of sin to cancel sin A to A)
A =[tex]\frac{3pi}{2}[/tex],[tex]-\frac{pi}{2}[/tex]
Rafiq is makeing a fruit punch using 48 ounces of grape juice abd some seltzer water. He wants to make 10 equal servings that are atleast 9 ounces each. Should he add 32 ounces of seltzer water or 48 ounces of seltzer water
Answer:
48 ounces of seltzer water
Step-by-step explanation:
From the question, we are told that:
Rafiq is making a fruit punch using 48 ounces of grape juice and some seltzer water.
He wants to make 10 equal servings that are at least 9 ounces each.
The total number of ounces that he want so have is at least
= 10 × 9 ounces = 90 ounces
Should he add 32 ounces of seltzer water or 48 ounces of seltzer water?
Let the number of ounces of seltzer water that he wants to add = x
At least = More than or equal to which is represented by inequality sign = ≥
Hence:
48 ounces of grape juice + x ounces of seltzer water ≥ 90 ounces
48 + x ≥ 90
x ≥ 90 - 48
x ≥ 42 ounces of seltzer water
From this calculation, the least amount of seltzer water he can add is 42 ounces.
Therefore, Rafiq should add 48 ounces of seltzer water
plzz help me with this question
Answer:
x= 40°
Step-by-step explanation:
90-43=47
x-7=47
47-7=40°
Find y. Round to the nearest tenth
Answer:
y = 178.3
Step-by-step explanation:
We can use Tan 27° to find the missing side (in this case, the opposite side to the angle measuring 27°)
Tan A = (opposite side)/(adjacent side)
Tan 27° = y/350
solve for y
350(Tan 27°) = y
178.3 = y (rounded to the nearest tenth)
(this isn't not my answer, cr MrSmoot on brainly. i just saw another exact question like this has been answered and this one hasn't)
Answer:
y= 178.3
Step-by-step explanation:
HELP GUYS THIS IS NOT FUNNY
WHAT IS 20 PLUS 20 IMCNOT LYING
Answer:
its 40 dude
Step-by-step explanation:
There are 5/6 jugs of water and 3/10 of the water are for the other runners. How many jugs of water is there
Answer:
8/15 left
Step-by-step explanation:
Given data
We want to perform subtraction operation on fractions
Total number of water= 5/6
we are told that 3/10 are for other runners
Hence the number of water left is
=5/6-3/10
=50-18/60
=32/60
=8/15
Hence there are 8/15 left
Estimate:
19 + 17.77 =
37
B
31
35
D
41
Answer:
Step-by-step explanation:
Option A 37 is the correct answer
hiii please help! i’ll give brainliest if you give a correct answer tysm
choose the correct graph! asap please
Answer:
2
Step-by-step explanation:
Find the common ratio r for each geometric sequence and use r to find the next three terms. 8, 4, 2, 1, ... 200, -80, 32, -12.8, ...
Answer:
the sequence is the a geometric sequence because the terms has a common ratio. the common ratio = -80 / 200 = -2 / 5common ratio = 32 / -80 = -2 /5
so the next to term can be solve multiplying the last term with the common ratio
x = -12.8 ( -2 / 5)x = 5.12
y = 5.12 ( - 2 / 5)y = -2.048
Step-by-step explanation: HOPE THIS HELPS!!
What is the common ratio for the geometric sequence below. written as a fraction? 768 480. 300. 1875
Answer:
5/8
Step-by-step explanation:
I believe the last number is 187.5 not 1875. The answer is 5/8
It took a racer 300 second to run 3,000 meters. Based on the ratio given and using a double number line, how long did it take the racer to run 2,000 meters?
(if you can, use a paper to draw the double number line, thank you)
Answer:
200 seconds
1:2 ratio for 2,000 meters and 1:3 ratio for 3,000 meters
Step-by-step explanation:
It takes the racer 100 seconds to run 1,000 meters and there is 3'000 meters so you multiply 100 times 3 to get 300.
whats 10 to the power of 8 equals what
Answer:
[tex]100000000[/tex]
Step-by-step explanation: can i have brain plz!
Thanks for who helps me
Answer:
x = 25
Step-by-step explanation:
(4x - 35) = 180 - 115
4x - 35 = 65
4x = 100
x = 25
What is the area to 16 square feet
Answer:
1.48645ft
Step-by-step explanation:
brainliest plssss
could you pls help me with number 12. i am not understanding that question. thank you if you help.
Answer:
jakdjkandnxnanbeiwiwifo nslfjiakwkd r. kalfdp
holiii necesito saber 5 divisiones que el resultado sea 300
Twice a number increased by five is 11. What is the number?
Answer:
2
Step-by-step explanation:
c(x) = 1/4x + 2
Find c(8)
On Monday, Sam has $9 in the bank, but thinks
there is more in the account. Sam withdraws
$6 from the account on Tuesday, Wednesday,
Thursday, and Friday. What is the balance in the
account after the withdrawal on Friday?
A. -$15
C. -$54
B. -$9
D. $3
Answer:
A
Step-by-step explanation:
9 - 28 = -15
(10x-4)+(-7+x)
Find the sum
Please Help!!!!
ricardo ran 160 minutes last week at the park. if he runs 15% more this week,how many total minutes will Ricardo run this week?
Answer:
dsdsdaa
Step-by-step explanation:
Step-by-step explanation:
Ricardo ran 160 minutes last week at the park. If he runs 15% more this week, how many total minutes will Ricardo run this week?
Can someone answer this ASAP
Television sizes are measured on the diagonal Tony's television length is 42 inches and the television width is 31 inches what is the diagonal measurement of Tony's television rounded to the nearest inch
Answer:
52 in approx
Step-by-step explanation:
Given data
Length of TV= 42 in
Widht of TV= 31 in
Required
The diagonal of the TV
Applying the Pythagoras theorem
D^2= L^2+W^2
D= √L^2+W^2
D= √42^2+31^2
D=√1764+961
D=√2725
D=52.20 in
Hence the diagonal of the Tv is 52 in approx