Answer:
154 divide by 12 when you get your answer multiply it by 8
Max rewrote the function f(x) = 4x² + 16x + 8 in vertex form by completing the square.
He concluded that the vertex is (-2, 4), which was incorrect. Consider Max's work, listed below.
In which step did Max make a mistake?
Step 1: f(x) = 4x² + 16x + 8
Step 2: f(x) = 4(x² + 4x) +8
Step 3: f(x) = 4(x² + 4x + 4) +8-4
Step 4: f(x) = 4(x + 2)² +4
The quadratic function f(x) = 4x² + 16x + 8 can be expressed in vertex form
Max's error is in step 3
How to determine the error in the function?The function is given as:
[tex]f(x) = 4x^2 + 16x + 8[/tex]
Factor out 4
[tex]f(x) = 4(x^2 + 4x) + 8[/tex]
Take the coefficient of x
[tex]k = 4[/tex]
Divide by 2
[tex]k/2 = 2[/tex]
Square both sides
[tex](k/2)^2 = 4[/tex]
Add and subtract 4 to the bracket
[tex]f(x) = 4(x^2 + 4x + 4 - 4) + 8[/tex]
Expand
[tex]f(x) = 4(x^2 + 4x + 4) + 8 - 16[/tex]
By comparing the above equation to step 3 of Max solution, we can determine that Max's error is in step 3
Read more about vertex quadratic function at:
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Simplify 0.4(−4.5)......................................
Answer:
[tex]0.4 \times \\ - 4.5[/tex]
ans= -1.8
Answer:
anw1.8
Step-by-step explanation:
Compute the mode, median, and mean for 23455
See picture for math work and answer.
What’s it the answer to this problem?
Answer:
46.2 degrees
Step-by-step explanation:
Use arcsin function (make sure calculator is in degree mode) and perform
[tex]sin^{-1} (\frac{13}{18} )\\=Angle[/tex]
=46.2 degrees
While shopping, Kyla found a dress that she would like to purchase, but it costs $49.50 more than she has. Kyla charges $5.50 an hour for babysitting. She wants to figure out how many hours she must babysit to earn $49.50 to buy the dress.
Answer:
9 hours
Step-by-step explanation:
We can do this 2 ways but I think you will want this the easiest way :)
So we can divide:
49.50/5.50
9
Or we can multiply and keep multiplying 5.50 by different numbers until we get 49.50 or over (this way will take longer)
5.50 x 1
5.50 x 2
and so on and so fourth
With the first way we figued out she will need to babysit for 9 hours :)
Have an amazing day!!
Please rate and mark brainliest!!
Blood type AB is found in only 3% of the population. If 290 people are chosen at random, find the probability of the following
Answer:
8.7 out of the 290 would have AB blood type, you could round it to 9
What is the slope intercept form of (-4,-5); and slope 1/2
Lets first put all the known information into the point-slope form:
[tex]y-y_{0} =m(x-x_{0} )[/tex]
[tex](x_{0},y_{0} ) = (-4,-5)[/tex]m (slope) : 1/2
[tex](y+5)=\frac{1}{2}(x+4) \\y + 4 = \frac{1}{2} x+2\\[/tex]
To put it into slope-intercept form, we must solve for y:
[tex]y = \frac{1}{2} x -2[/tex]
Hope that helps!
PLEASE HELP!!!
Pete estimates that he has spent $64.50 on supplies for his lawn mower. He charges $12 per lawn for his service. Write a linear model in the form y=mx+b where y represents the amount of profit Pete earns for mowing x number of lawns.
Answer:
Yes below
Step-by-step explanation:
y=mx+b
y=12m+64.50
graph a line x + y = -1
Answer:
x intercept= -1, y intercept= -1, slope= -1
Step-by-step explanation:
ANSWER CORRECTLY FOR 25 POINTS (AGAIN..)
On the verge for asking for someones discord just for all the answers smh
Fill in the table using this function rule.
4=4x+4
x | y
1 |
2 |
7 |
9 |
Answer:
1 | 2
2|4
7|14
9|18
Reasoning:
4=4x+4
4=4(1)+4
4=4+4
4=8
4 can be multiplied 2 times to = 8 so the number shown on the table must be 2 times the amount or just say 1/2
I hope this helps!
( Please mark me brainliest )
Tormod bought a perfectly square table but found out it won't fit through his study
door. To solve the problem, he reduces its width by 9cm but also extends its length by
9cm. Its new area is 309cm?
What was the area of his original square table?
Answer:
390 cm^2
Step-by-step explanation:
Let's call the dimensions of the original square x by x. Its area is x^2.
After the table is altered, its dimensions are x + 9 by x - 9, and you're given the area is 309 cm^2.
[tex](x+9)(x-9)=309\\\\x^2-81=309\\\\x^2=390[/tex]
This last equation is telling us the area of the original, square table.
What is the quotient of 13divide 8
Answer:
1
Step-by-step explanation:
mr clean
Answer:
One with a remainder of five.
Step-by-step explanation:
Eight goes into thirteen one time with five remaining
I need help on this, please explain how you get the result.
Answer:
[tex]x=5[/tex]
Step-by-step explanation:
We have the equation:
[tex]34\cdot 3^{x-2}-2\cdot 3^{x-3}=0.8\cdot 10^{x-2}+10^{x-3}[/tex]
Let's simplify this a bit. Let [tex]u=x-2[/tex]. Then [tex]u-1=x-3[/tex]. We can substitute the exponents:
[tex]34\cdot3^u-2\cdot 3^{u-1}=0.8\cdot 10^u+10^{u-1}[/tex]
Use the properties of exponents, we can write [tex]3^{u-1}=\frac{3^u}{3}[/tex]. We can do the same thing on the right. So:
[tex]34\cdot3^u-2\cdot \frac{3^u}{3}=0.8\cdot 10^u+\frac{10^u}{10}[/tex]
We can now factor out a [tex]3^u[/tex] from the left and a [tex]10^u[/tex] on the right. This yields:
[tex]3^u(34-2\cdot\frac{1}{3})=10^u(0.8+ \frac{1}{10})[/tex]
Evaluate the expressions within the parentheses:
[tex]3^u(34-\frac{2}{3})=10^u(\frac{9}{10})[/tex]
Evaluate:
[tex]3^u(\frac{100}{3})=10^u(\frac{9}{10})[/tex]
Now, let's multiply both sides by [tex]\frac{3}{100}[/tex]. So:
[tex]3^u=10^u(\frac{9}{10})(\frac{3}{100})[/tex]
Also, let's divide both sides by [tex]10^u[/tex]. Multiply on the right:
[tex]\frac{3^u}{10^u}=\frac{27}{1000}[/tex]
Therefore:
[tex]3^u=27\text{ and } 10^u=1000[/tex]
We can now substitute back u. Notice that 27 is the same as 3 cubed and 1000 is the same as 10 cubed. So:
[tex]3^{x-2}=3^3\text{ and } 10^{x-2}=10^3[/tex]
Since they have the same base, their exponents must be equal. Therefore:
[tex]x-2=3[/tex]
Add 2 to both sides:
[tex]x=5[/tex]
So, the value of x is 5.
And we're done!
At a birthday party, 5 boys and 3 girls are seated in a row. How many different arrangements are possible if there are no boys between any two girls?
Answer:
Basic Concept:
Since there are no boys between 2 girls, we will take the 3 girls as 1 single unit and permute the seats
We have 6 slots (5 for boys and 1 for all 3 girls)
We have 6 slots and 6 people to sit on them (taking the 3 girls as one)
Permutations:
So, the total number of seating arrangements is 6P6
which will be equal to 6 factorial (6P6 = [tex]\frac{n!}{n! - r!}[/tex] = [tex]\frac{6!}{6! - 6!}[/tex] = 6! (since 0! = 1))
Total possible seating arrangements = 6!
Total possible seating arrangements = 720
The state of wyoming is almost rectangular with an approximate width of 365 miles and an approximate height of 276 miles. If you fly across the state from opposite corners, what is the best approximation of the distance you travel?
A.) 448
B.) 458
Please show work!
Answer:
458 miles
Step-by-step explanation:
Build a right triangle as shown in the attached image, Then solve using the Pythagorean theorem.
458 miles
Select the correct answer. What is the simplified form of 377-577? O A – 287 O B. 287 Oc. -√14 OD. 157
Answer:
- 200
Step-by-step explanation:
377 is lesser than 577.
Here,
577 is the Greater number.
377 is the Smaller number.
When Smaller number is subtracted from Greater number, the result will be ( - ).
So,
377 - 577 = - 200
x2 + 3x - 4 = 6 any one know how to solve this
Answer:
-5,2
Step-by-step explanation:
make one side equal zero, x2 + 3x - 10
use guess and check to reverse foil and find (x+5)(x-2)
solve and get x = -5 , 2
Answer (it has two solutions):
x = -5x = 2I hope this helps!
A marathon is approximately 26.2 miles. Your friend says that if you
continue to run at this speed, you will not be able to complete a marathon
in less than 4 hours. Is your friend correct? Explain.
Answer:
yes because it would take about 6 hours and 55 minutes.
Step-by-step explanation:
26.2 × 4=6.55
Answer 6.55 or 6 hours and 55 minutes
The speed of Your friend will be 6.55 miles per hour.
What is speed?The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.
We know that the speed formula
Speed = Distance/Time
A marathon is approximately 26.2 miles. Your friend says that if you continue to run at this speed, you will not be able to complete a marathon in less than 4 hours.
The speed of Your friend will be
S = 26.2 / 4
S = 6.55 miles per hour
The speed of Your friend will be 6.55 miles per hour.
More about the speed link is given below.
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Find the equation of a line that has the same slope as y = 6 - 2x and the same y-intercept as y= -10x – 4.
Answer:
Find the equation of a line that has the same slope as y = 6 - 2x and the same y-intercept as y= "-10x" – 4.Search instead:for Find the equation of a line that has the same slope as y = 6 - 2x and the same y-intercept as y= -10x – 4.Step-by-step explanation:
it's tight
What is the value of f(x) when x=3?
0-3
-2
ооо
4
Answer:
-3
Step-by-step explanation:
IM TO LAZY TO EXPLAIN BUT ITS RIGHT
At Thomas High School, 200 students go to school by their own vehicle. If this number of students is 40% of school enrollment, then how many students are there in the school altogether?
Answer:
500 students
Step-by-step explanation:
40% = 200 students
divide both by 4 to 10%
10% = 50
multiply both by 10 to get 100%
100% = 500
or the quicker way,
200 x 2 = 400 (80%) + 100 (20%) = 500 (100%)
The X Hotel has an occupancy rate of 97% during busy season and 62% during the rest of the year. It makes $80 (revenue - variable costs) per room per night. Busy season accounts for 30% of the year. After covering it's $4M in annual fixed costs, the total profit for the Pinkerton Hotel was $4,468,000. How many rooms are in the X Hotel? 400 O 650 150 200
Using proportions, it is found that there are 200 rooms in hotel X.
What is a proportion?A proportion is a fraction of a total amount.
The X Hotel has an occupancy rate of 97% during busy season(30% of the year) and 62% during the rest of the year(70%), hence the mean occupancy rate is of:
R = 0.3 x 97% + 0.62 x 70% = 72.5%.
The total profit for the Pinkerton Hotel was $4,468,000, hence considering that it makes $80 per room per night, in a 365-day year:
80N x 0.725 x 365 = 4,468,000
N = 4,468,000/(80 x 0.725 x 365)
N = 211.
Which is closest to 200, hence, there are 200 rooms in hotel X.
More can be learned about proportions at https://brainly.com/question/24372153
Original price: $340.00
markdown 50%.
Answer:
50/100(50%) x 340 = $170
If there is a 50% markdown, you would need to take 50%(1/2) away from the original price.
Answer:
$170
Step-by-step explanation:
Given the following question:
50% of 340
To find the answer we must first find 50% of 340 by using the formula to calculate percentages, and then subtract that answer from the original price to have our markdown.
[tex]\frac{p\times n}{100}[/tex]
[tex]\frac{50\times340}{100}[/tex]
[tex]50\times340=17000[/tex]
[tex]17000\div100=170[/tex]
[tex]=170[/tex]
Now subtract from original price:
[tex]340[/tex]
[tex]340-170=170[/tex]
[tex]=170[/tex]
The new price after a 50% markdown is "$170."
Hope this helps.
4n^2 - 16n + 15 in vertex form
Answer:
y=4(n−2)2−1
Good Luck!
(4/-5) ÷ (-3/10)
A) 12/50
B) -18.6
C) 8/3
D) -12/50
Answer:
2.666666667 is the answer
Step-by-step explanation:
8/3 is the answer............
F = m x a solve for a
Answer:
f/m=a
Step-by-step explanation:
f/m=m/m*a
f/m=a
Sophia wishes to retire at age 65 with $1,700,000 in her retirement account. When she turns 28, she decides to begin depositing money into an account with an APR of 9% . What is the monthly deposit that Sophia must make in order to reach her goal? Round your answer to the nearest cent
if necessary.
Answer:
$1322.67
Step-by-step explanation:
Let the total amount that Sarah deposited be $x
using the annuity formula:
A=P[((1+r)^n-1)/r]
A=future value
r=rate
n=number of years
from the information given:
A=$500000
r=2.75%
n=65-42=23 years
p=$x
thus plugging our values in the formula we get:
500000=x[((1+0.0275)^(23)-1)/(0.0275)]
500000=31.50x
x=15,872.04883
She deposited 15,873.04883 per year
The monthly deposit will therefore be:
15873.04883/12=$1322.67
Answer:
$1322.67
Step-by-step explanation:
Diego ran a race in 80 minutes. The race started at
11:38 a.m. What time did he finish the race?
12:18 a.m.
1:58 p.m.
A
11:56 a.m.
12:58 p.m.
If Diego started the race at 11:38 am and finished in 90 minutes, then the time he will finish the race is 12:58 pm, the correct option is D.
What is an Equation?An equation is a mathematical statement formed when two algebraic expressions are equated using an equal sign.
The equations are useful in determination of unknown parameters.
The equations are of various types, such as Trigonometric equations, quadratic equations.
Diego ran a race in 80 minutes, the race started at 11:38 a.m.
The time Diego ran a race in is 80 minutes.
The time he started at 11:38 am
Let he finish the race at x hours.
The equation can be written as,
x = 11:38 + 80 minutes
60 min = 1 hour
80 minutes = 1 hour 20 minutes
x = 11: 38 + 1 :20
x = 12: 58 pm
The time he will finish the race is 12:58 pm.
To know more about Equation
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6. The perimeter of a rectangle is 48 feet, and the length is 16 feet. What is the area?
Answer: 256 ft²
Step-by-step explanation:
The perimeter is calculated by:
P = 2l + 2w
so we know:
48 = 2(16) + 2w
48 - 32 = 2w
w = 16 feet
So the area is 16 x 16 = 256 ft²
Will give brainlist if truly correct
2 box plots. The number line goes from 0 to 20. For East Side Middle School Debate Wins, the whiskers range from 5 to 14, and the box ranges from 10 to 12. A line divides the box at 11. For West Side Middle School Debate Wins, the whiskers range from 3 to 14, and the box ranges from 8 to 12. A line divides the box at 9.
Which of these inferences about the two debate teams are true? Check all that apply.
West Side is more consistent at winning.
East Side is more consistent at winning.
East Side typically wins more debates per year than West Side.
West Side typically wins more debates per year than East Side.
These graphs do not contain enough information from which to draw inferences.
Answer:
The answers are b and c
Step-by-step explanation:
East Side is more consistent at winning.
East Side typically wins more debates per year than West Side.