Write the quadratic function in vertex form, then identify the vertex
h(x)=x^2+20x+90
h(x)=
Vertex:
I need this answered ASAP please !
Answers
Answer:
vertex = (- 10, - 10 )
Step-by-step explanation:
The equation of a quadratic in vertex form is
y = a(x - h)² + k
where (h, k ) are the coordinates of the vertex and a is a multiplier
To obtain this form use the method of completing the square.
Given
h(x) = x² + 20x + 90
add/subtract ( half the coefficient of the x- term )²
h(x) = x² + 2(10)x + 100 - 100 + 90
= (x + 10)² - 10 ← in vertex form
with (h, k ) = (- 10, - 10 )
Related Questions
Plz i NEED HELP ABOUT TO FINISH THIS CLASS! PLZ
17. Does the following system have a unique solution? Why?
Answers
Answer:
last one
Step-by-step explanation:
Marion and Stefan played a game called "Go." Marion won five times the difference between the number of games Stefan won and the number four. If Marion won fifteen games, then how many games did Stefan win?
Answers
Answer:
1 game
15/5=3
4-3=1
Hope it helps
please follow me
Using a system of equations, it is found that Stefan won 7 games.
In our system, we have that:
x is the number of games Marion won.y is the number of games Stefan won.Marion won five times the difference between the number of games Stefan won and the number four, hence:
[tex]x = 5(y - 4)[/tex]
Marion won 15 games, hence [tex]x = 15[/tex], and:
[tex]15 = 5(y - 4)[/tex]
[tex]y - 4 = 3[/tex]
[tex]y = 7[/tex]
Stefan won 7 games.
A similar problem is given at https://brainly.com/question/19314231
While printing material from the Internet, Greg used 10 pages of paper from a package of 500 sheets of paper. What percent of the paper did he use?
Answers
Answer:
2%
Step-by-step explanation:
The percentage of paper used is 2%
Question 2
1 pts
Seven friends compared vacation plans. All are planning to drive to their destinations.
Find the median distance for the seven travelers.
Distance in
Friend
km
1
435
2
158
3
254
450
4
5
192
219
6
7
457
192 km
Answers
Darrell and Lyle are college basketball players. Darrell is 198.1 centimeters tall. Lyle is 190.5 centimeters tall. How much taller is Darrell than Lyle?
Answers
Answer:
7.6 centimeters taller
Step-by-step explanation:
You just have to take 198.1 and subtract 190.5 from it
of the 480 canned foods collected, 45% of them were canned vegetables. How many canned vegetables did the school collect last month
Answers
Rusty hiked 3 3/4 miles in the morning and 2 1/4 miles in the afternoon. How much
farther did he hike in the morning than the afternoon?
Answers
Answer:
1 [tex]\frac{1}{2}[/tex] miles
Step-by-step explanation:
Convert 3 [tex]\frac{3}{4}[/tex] and 2 [tex]\frac{1}{2}[/tex] into improper fractions
Subtract them like a regualr equation
[tex]\frac{15}{4}[/tex] - [tex]\frac{9}{4}[/tex] = [tex]\frac{6}{4}[/tex]
Convert [tex]\frac{6}{4}[/tex] into a mixed number to get 1 [tex]\frac{1}{2}[/tex]
Convert days to weeks by completing the number sentence. 35 days=
Answers
Answer:
5 weeks
Step-by-step explanation:
35 divided by 7 is 5
35 days: x weeks
7/1=35/x
1*35=35
35/7=5
x=5
5 weeks is your answer
The results of a recent survey showed that the average cost to rent a car for a week is $276. If the standard deviation is $60,
find the Z-score for a weekly rental of $423.00?
a. 2.45
B. 4.6
C. 7.05
D. -1.88
Answers
I divided 276/60 and got b
The Z-score for a weekly rental is 2.45 which is the correct answer would be option (B).
What is Z -score?A Z-score is defined as the fractional representation of data point to the mean using standard deviations.
Given the average cost to rent a car for a week is $276
And the standard deviation is $60
To determine the Z-score for a weekly rental of $423.00
Here,
ц = 276
σ = 60
X = 423
⇒ z-score = (X-ц )/σ
Substitute the values,
⇒ z-score = (423 - 276)/60
⇒ z-score = 147/60
⇒ z-score = 2.45
Hence, the z-score for a weekly rental is 2.45.
Learn more about the z-score here:
brainly.com/question/13793746
#SPJ2
explain how to find 45% of a number
A-multiply the number by 0.45.
B-Divide the number by 4.5.
C-Divide the number by 45.
D-multiply the number by 4.5.
Answers
6th grade math look at the pictures
Answers
Answer:
use a calculator.
Step-by-step explanation:
Answer:
2. 17.624
3. 9.72
4. 14.3
5. 2.11
8. 5,105.16
10. 124.7
Step-by-step explanation:
Which of the following correctly describes the end behavior of the polynomial
function, f(x) = 2x4 - 3x2 + 2x?
A. The left end goes up and the right end goes down.
B. Both ends go down.
C. Both ends go up.
D. The left end goes down and the right end goes up.
Answers
Answer:
both ends go up
Step-by-step explanation:
Larry ordered 5 1/2 subs. He wants to share the subs with 4 friends and himself. Larry thinks they will each
receive 1 1/4 subs. Is Larry correct? Why or why not?
Answers
Pleas help me fast!
Answers
Answer:
35
Step-by-step explanation:
17-7+5^2 Divide 28 by 4
17-7+25 5 to the power 2 is 25
10+25 add 25 and 10 and you get 35.
35
Answer:
35
Step-by-step explanation:
8.
Mia's booth rental fee at a hair salon is $128 per week. Which table shows the sum of the amount that Mia will pay over the next 8 weeks?
Answers
Answer: If you're renting a chair/booth, it's making sure ALL of the costs ... That's $3000 in revenue generated per week or $150K in revenue ... It's waiting for hair to dry.
Step-by-step explanation:
NEED HELP! GIVING BRAINLIEST!
Answers
6(1)=6 and so on which shows the total clients.
Find the value of x.
(8x+19)(9x+9)
Please give step by step
Answers
SOLUTION STEPS
(8x+19)(9x+9)
Apply the distributive property by multiplying each term of 8x+19 by each term of 9x+9.
72x 2 +72x+171x+171
Combine 72x and 171x to get 243x.
72x 2 +243x+171
hopefully my weird explanation helped
Find the slope of the line that passes through the points (1,-4) and (3, -1).
Answers
Answer:
use cymath it really helps with finding slopes
Step-by-step explanation:
what is the percent increase from 2,000 to 3,000
Answers
There are 7 socks in a bag. 2 of those socks are blue.
What is the probability of picking a blue sock randomly from the bag
Answers
Answer:
2/7 or about 28% depending on what type of answer your teacher is looking for
find the factorization of the polynomial below 49x2+70+25
Answers
Answer:
(7x + 5) (7x+5)
Step-by-step explanation:
Hope this helps
How would you do this as a decimal number ?
Answers
Answer:
-5.875
Step-by-step explanation:
A wooden board that is 108 inches long is cut into two equal parts. What is the length of each part in feet? (feet : inches = 1 : 12) A. 0.45 feet B. 4.5 feet C. 9 feet D. 54 feet
Answers
Answer:
the answer is c. 9 feet
Step-by-step explanation:
i just did the math and i got 9 so i hope this helps!
List the sides in order from shortest to longest. The diagram is not to scale.
66
50
64
Answers
YO NEED SOME HELP ON THIS END OF GRADE SOON!!
Answers
Answer: b
Step-by-step explanation:
Cuz is a negative get in absolute value it always comes out positive
And it says below 0-9=-9
Answer:
BStep-by-step explanation:
__________________________________________________________
B is the answer because,
if the negative sign is not inside the "brackets," then the number will still be negative.
__________________________________________________________
But, if the negative sign is connected to the number, or inside the "brackets," then it will always be positive.
__________________________________________________________
Here are the reasons why the rest are wrong.
__________________________________________________________
A is not correct because the outcome isn't negative, even though it's correct in mathematical instances.
__________________________________________________________
C is not correct because it is plainly not correct in itself.
__________________________________________________________
D is also not correct because it is not correct in the mathematical equations, even though it has a -9 as the equal, it's still wrong.
__________________________________________________________
Hope this helps! <3
__________________________________________________________
a) Find the critical numbers of
f
f
(if any).
b) Find the open interval(s) on which the function is increasing/decreasing
c) Apply the First Derivative Test to identify all relative extrema
Answers
David is buying a cheese wheel priced at $14 before tax. The store charges 8%, percent sales tax
THE ANSWER IS 15.12
Answers
Answer:
15.12
Step-by-step explanation:
14*1.08
15.12
ASAP please help me I need this quick
The question and answers are in the picture
Answers
Answer:
D.
Step-by-step explanation:
im in geometry class rn and my teacher just showed me this brainliest pls
Answer:
D. 4✓3
Step-by-step explanation:
Pythagorean theorem is a^2+b^2=c^2 so put your values in that equation. The c^2 is the hypotenuse, which is 8 and the b^2 is the 4. put those values in and solve the equation.
Hope this helps!!
Consider a system with sampling rate 52,500 samples per second.
(a) Determinethe maximum frequency of the pre-sampled signal if the system utilizes 18% oversampling.
(b) Determine the percentage oversampling if the maximum frequency from part (a) isincreased by 10%.
Answers
Answer:
The answer is "[tex]22,246 \ H_z \ \ and \ \ 7.3\%[/tex]"
Step-by-step explanation:
The sampling rate: [tex](f_s) = 52,500 \ \frac{samples}{sec}[/tex]
In point a:
The sample signal frequency = f
They recognize that the id [tex]\geq[/tex] 2f sampling frequency could be returned to its original signal unless the aliase effect is detected elsewhere, Yet under percentage =18%
[tex]\ sampling \ rate = 2 \times 1.18 \times f[/tex]
[tex]\to f = \frac{52,500}{2 \times 1.18}\\\\[/tex]
[tex]= 22,246 \ h_z[/tex]
In point b:
Maximum 22,242 frequency is increased by [tex]10 \ \%[/tex]
[tex]f_a =22,246 \times 1.1[/tex]
[tex]= 24,470.6\\\\=24,471[/tex]
[tex]\ sampling \ rate= x \times 2 \times 24,2471 \\[/tex]
[tex]x= \frac{52,500}{48,942} \\\\x= 1.073\\\\[/tex]
over sampling percentage [tex]= 7.3 \ \%[/tex]
Solve the equation Only enter the amount. Round to the nearest cent. Twenty tickets cost 182.50 What is the average cost of each ticket?
Answers
Answer:
$9.13
Step-by-step explanation: