Answers
Answer:
See Below
Step-by-step explanation:
For each of these, you just replace x with what's in the parenthesis.
f(-2) = 4(-2)^2 - 2(-2) + 1
f(-2) = 16 + 4 + 1
f(-2) = 21
g(5) = [tex]\sqrt{4(5) - 16}[/tex]
g(5) = [tex]\sqrt{20-16}[/tex]
g(5) = [tex]\sqrt{4}[/tex]
g(5) = 2
f(3r) = 4(3r)^2 - 2(3r) + 1
f(3r) = 4(9r^2) - 6r + 1
f(3r) = 36r^2 - 6r + 1
f(a+b) = 4(a+b)^2 - 2(a+b) +1
f(a+b) = 4 (a^2 + 2ab + b^2) - 2a - 2b + 1
f(a+b) = 4a^2 + 8ab + 4b^2 - 2a - 2b + 1
Related Questions
Principal Lopez asked her 500 students to vote on the school's annual gift. 300 students voted to donate a telescope for the science lab. What percent of the students voted to donate a telescope?
Pick the model that represents the problem.
What percent of the students voted to donate a telescope?
%
Answers
Using the percentage concept, it is found that 60% of the students voted to donate a telescope.
What is a percentage?The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:
[tex]P = \frac{a}{b} \times 100\%[/tex]
In this problem:
The total amount is the number of students, which is of b = 500.300 voted to donate, hence a = 300.The percentage is given by:
[tex]P = \frac{300}{500} \times 100\% = 60\%[/tex]
60% of the students voted to donate a telescope.
More can be learned about the percentage concept at https://brainly.com/question/10491646
Saville Company has 10,000 shares of $100 par, 4% cumulative preferred stock and 100,000 shares of
$10 par common stock. All past dividends for preferred shareholders have been paid. Dividends
totaling $80,000 have been declared.
Determine the dividends per share for preferred and common stock for the year.
Question 10 options:
$4.00 and $4.00
$4.00 and $0.40
$2.00 and $0.40
$2.00 and $4.00
Answers
Answer:
$4.00 and $0.40
Step-by-step explanation:
Preferred dividend = $100 x 4% = $4 per share
$4 x 10,000 shares = $40,000
$80,000 paid - $40,000 preferred = $40,000 common dividend
$40,000 / 100,000 common shares = $0.40 per share
The dividends per share for preferred and common stock for the year is: $4.00 and $0.40.
Dividends per share for preferred and common stockDividends per share for preferred = $100 x0.04
Dividends per share for preferred = $4 per share
Common dividend=$80,000 -($4 x 10,000 shares)
Common dividend=$80,000 - $40,000
Common dividend=$40,000
Dividends per share for common stock=$40,000 / 100,000
Dividends per share for common stock = $0.40 per share
Inconclusion the dividends per share for preferred and common stock for the year is: $4.00 and $0.40.
Learn more about dividends per share for preferred and common stock here:https://brainly.com/question/10718788
tara worked 55 hours and earned $453.75.let E equal taras total earnings and h equal the number of hours she worked . which of the following is the constant of proportionality
Answers
Explanation: You are looking to find something constant or something that stays the same. Something that does stay the same is how much money she earned each hour. So you would do 453.75/55. And then find k, or the constant of proportionality. Which is $8.25. You’re welcome!
Find the area of the circle. Give your answer in terms of x. C= pie over 7
Answers
Answer:
Assuming C stands for Circumference we will assume the circum is pi/7
Therefore x = 1/196pi
Step-by-step explanation:
First find the radius with C = 2 * r * pi
1/7pi = 2 * r * pi
r = (1/7pi)/2pi
r = 1/14
Now for the area we have A = r^2 * pi
A = (1/14)^2 * pi
A = 1/196 * pi
20089 (4 significant figures)
Answers
Answer:
20010
Step-by-step explanation:
20010
.
.
.
.
.
.............
Answer:
2000
Step-by-step explanation:
20089-2/0089
it can not be approximated
therefore it is 20000
WILL GIVE BRAINLIEST
There are 2,367 teachers in a certain school district. 600 were polled asking if they felt computers in the classroom were beneficial to. 85% of the teachers polled felt that computers in the classroom were beneficial to students. What is the confidence interval for the population mean of teachers in this district that feel computers in the classroom are beneficial to students, using a 99% confidence level?
(81.25%, 88.75%)
(81.98%, 88.21%)
(82.14%, 87.86%)
(82.60%, 87.40%)
Answers
Hopefully this helps.
A community theater sells about 150 tickets to a play each week when it charges $20 per ticket.
For each $2 decrease on price about 25 more tickets per week are sold. Write a quadratic function to
find how the theater can maximize weekly revenue. What should the theater charge to maximize
revenue? What is the maximum weekly revenue? (6 pts) (Show all work.)
What is the equation:
What should the theater charge?
What is the maximum revenue?
Answers
Answer:
r = 12.5p(32 -p)$16 per ticket$3200 maximum revenueStep-by-step explanation:
The number of tickets sold (q) at some price p is apparently ...
q = 150 + 25(20 -p)/2 = 150 +250 -12.5p
q = 12.5(32 -p)
The revenue is the product of the price and the number of tickets sold:
r = pq
r = 12.5p(32 -p) . . . . revenue equation
__
The maximum of revenue will be on the line of symmetry of this quadratic function, which is halfway between the zeros at p=0 and p=32. Revenue will be maximized when ...
p = (0 +32)/2 = 16
The theater should charge $16 per ticket.
__
Maximum revenue will be found by using the above revenue function with p=16.
r = 12.5(16)(32 -16) = $3200 . . . . maximum revenue
_____
Additional comment
The number of tickets sold at $16 will be ...
q = 12.5(32 -16) = 200
It might also be noted that if there are variable costs involved, maximum revenue may not correspond to maximum profit.
7 copies of the sun of 8 fifths and 4
Answers
Answer:
39.2
Step-by-step explanation:
We need to find the solution of 7 copies of sum of 8 fifths and 4.
Now, 8 fifths =
Then, sum of 8 fifths and 4 = =
Now, 7 copies of means that we meed to multiply 7 times
i.e. 7 copies =
i.e. 7 copies =
i.e. 7 copies = 39.2
Hence, 7 copies of sum of 8 fifths and 4 is 39.2
In what range do the closing costs on a home loan typically fall? a. 1% to 3% b. 3% to 5% c. 5% to 7% d. 7% to 10% Please select the best answer from the choices provided A B C D Mark this and return
Answers
Answer:
The answer to this question that you asked is 3%
so the complete answer is: b. 3%
Step-by-step explanation:
The closing costs can usually and typically range from 3%–6% of the home's purchase price. if you are buying a two-hundred thousand dollar house, your closing cost would could range from six-thousand to twelve-thousand dollars. The closing fees may vary depending on your state, loan type, and mortgage lender, so it's important to pay close attention to these fees.
hope this answered your question
Which table shows a function that is decreasing only over the interval (–1, ∞)?
A 2-column table with 6 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1, 2. The second column is labeled f of x with entries negative 1, negative 3, negative 5, negative 2, negative 1, 2.
A 2-column table with 6 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1, 2. The second column is labeled f of x with entries negative 3, negative 5, negative 7, negative 6, 1, negative 1.
A 2-column table with 6 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1, 2. The second column is labeled f of x with entries negative 4, negative 3, negative 1, 2, 1, negative 6.
A 2-column table with 6 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1, 2. The second column is labeled f of x with entries negative 5, negative 1, 1, 0, negative 4, negative 8.
Answers
Answer:0,1
Step-by-step explanation:
1 is the number in the x column that is in the same area as 0 they r vertical to each other
I need help with this question.
Answers
Answer:
The rate of change is 1 for both functions A and B
Step-by-step explanation:
Hope this helps!
Pls give brainliest :)
Richard wants to install a paver patio in the shape shown. The dotted line represents a line of symmetry. How many square yards of pavers does Richard need to cover the entire patio?
1. 400
2. 290
3. 190
4. 180
Answers
Answer:
number 2: 290
Step-by-step explanation:
triangle: 11 x 20 = 220 ÷ 2 = 110
rectangle: 9 x 20 = 180
180 + 110 = 290
Richard will need 290 square yards of pavers to cover the entire patio.
∴ Option 2. 290 is the right option.
What is a trapezoid? How do we calculate its area?A trapezoid is a quadrilateral with a necessary pair of parallel lines.
The area of a trapezoid is calculated using the formula,
Area = (1/2)*(sum of parallel sides)*(perpendicular distance between the parallel sides)
What is a line of symmetry?A line of symmetry is the line that divides a figure into equal parts.
How do we solve the given question?The given patio is a quadrilateral. We are shown a line of symmetry. Seeing a single part among the two parts of the figure, we can see that it is a trapezoid with a pair of parallel lines, the shorter one 9ft, and the longer one 20ft. The perpendicular distance between them is 10ft (half of the base of the shown patio).
We calculate the area of this part,
= (1/2)*(9+20)*(10) = 0.5*29*10 = 145 square yards.
The area of the whole patio is twice of this part as both the parts are equal.
∴ Area of the patio = 2*145 = 290 square yards.
Learn more about the Area of the trapezoid and line of symmetry at
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https://brainly.com/question/8973682
#SPJ2
i need help pls i need to put my grades up before the end of the semester 20 pionts for who ever answers have a hood night from kentucky
Answers
Answer:
Step-by-step explanation:
a + 2 + a+2 + a + 2 = 24 Combine the left
3a + 6 = 24 Subtract 6 from both sides.
3a = 24 - 6 Combine
3a = 18 Divide both sides by 3
3a/3 = 18/3
a = 6
Answer:
1.
3a + 6 OR 3(a + 2)
2.
a = 6
Step-by-step explanation:
1.
(a + 2) + (a + 2) + (a + 2) = a + a + a + 2 + 2 + 2
= 3a + 6 or 3(a + 2)
2.
24 = 3a + 6
24 - 6 = 3a
18 = 3a
18/3 = 6
a = 6
sorry if I didn't show my working well enough
Find the numbered angles in each rhombus
Answers
Answer:
there are 4 angles on each rhombus so it would be 4! :D
Step-by-step explanation:
NEED HELP ASAP!
Jennifer works in a music store and earns 15.4% commission on each sale. If Jennifer sells a piano and earns $48.00, what is the price of the piano? Round your answer to the nearest cent.
Answers
Answer:
The price of the piano is $311.69
City Park is a right triangle with a base of 40 yd
and a height of 25 yd. On a map, the park has a
base of 40 in. and a height of 25 in. What is the
ratio of the area of the triangle on the map to
the area of City Park?
Answers
Answer:
Let's Convert yards into inches
Base = 40 yards = 1440 inches
Height = 25 yards = 900 inches
Base (Map)/Base (Actual)
40/1440 = 1 : 36
Height (Map)/Height (Actual)
25/900 = 1 : 36
I hope it helps you!
Step-by-step explanation:
Let's expand our knowledge even more by explaining.
The scale of the height and the width is 1 inch equals 1 yard.
the scale of the area would be 1 square inch equals 1 square yard.
for example:
the area of a triangle is equal to 1/2 * base * height.
the base on the map is 40 inches and the height on the map is 25 inches.
the area on the map is therefore 1/2 * 40 * 25 = 500 square inches.
the base in the real world is 40 yards and the height in the real world is 25 yards.
the area in the real world is therefore equal to 1/2 * 40 * 25 = 500 square yards.
the ratio of the area on the map to the area in the real world is 500 square inches / 500 square yards equals 1 square inch / 1 square yard.
that's 1 square inch to 1 square yard.
in general, if the scale in the linear measurements were a/b, then the scale in area would be (a/b)^2.
since your scale in linear measurements is 1/1, then the scale in area would be (1/1)^2 which is equal to 1/1.
assuming the scale in linear measurements were 1/2, then the scale in area would be (1/2)^2 = 1^2/2^2 = 1/4.
A cylindrical pillers has a diameter of 56 cm and is of 35 m high there are 16 pillers around the building find the cost of painting the curved surface area of all the pillars at the rate of 5.50 per 1m square
Answers
Answer:
Answer:
Total cuŕved surface area of the pillars = 985.6m²Total cost of painting = Rs.5420.8
Explanation:
Given,
A cylindrical pillar with dimènsions,
r(radius) = 56/2 = 28cm. [ Since d = r/2]h(height) = 35m
There are 16 such pillars. Find the cost of paiñting the the curved surface area of all pillars 5.50/m²
Conversion of the dimensioñs in same units.
Radius = 28cm
= 28 ÷ 100 [Since 1m = 100]
= 0.28m
Cuŕved surface area of the pillar is given by,
→ 2πrh
Where,
Taking ‘π’ as 22/7
→ 2*(22/7)*(0.28)*(35)
Please i need help
- 8s - 4 > 3s + 3.
Answers
Answer:
-8s-4>3s+3
-8s-(-3s)>3+4
-8s+3s>3+4
-5s/-5>7/-5
s>-7/5
A pilot at an altitude of 2,000 feet and has a horizontal distance of 8,020 feet from the runway. At what angle of depression should he set the plane to touch down at the exact end of the runway?
Answers
Answer:
14°
Step-by-step explanation:
the angle of depression = α
tanα = 2000/8020 = 0.2494
α = 14°
Let
sin A = 0.36
tan A = 0.8
cos A = 0.35
Answers
Answer:
Do you need help
Step-by-step explanation:
Find the slope of the line passing through the points (-4,
4) and (2, 5).
Answers
Answer:
1/6
Step-by-step explanation:
The equation for finding the slope of two points is (y2-y1)/(x2-x1) and if you plug those number into the equation you get 1/6 (simplest form)
Need this answer quick please.
Answers
Answer:
I= integ.of dx/(4+5sin^2 x)
On dividing by cos^2x in Nr and Dr.
I=integ.of sec^2 x.dx/(4sec^2 x +5.tan^2 x)
I=integ.of sec^2 x.dx/(4+4tan^2 x+5tan^2 x)
I=integ.of sec^2 x.dx/(4+9tan^2 x)
Let tan x= t
sec^2 x.dx = dt
I=integ.of dt/(4+9t^2)
let t =(2/3)p , dt =(2/3)dp
I=integ.of (2/3).dp/(4+4p^2)
I=integ.of (2/12)dp/(1+p^2)
I=(1/6) tan^-1(p) +C
I=(1/6).tan^-1(3t/2) +C
I=(1/6).tan^-1{(3/2)tan x } +C , Answer.
20% + 302 + 5x – 4 / 32 + 1 +1?
Answers
Answer:
hope this helps
Step-by-step explanation:
In the gift shop of the History of Flight museum, Elisa bought a kit to make a model of a jet airplane. The actual
plane is 18 feet long with a wingspan of 13.5 feet. If the finished model will be 10 inches long, what will the
wingspan be?
O 13.3 in
O 7.5 in
O 3.75 in.
O 24.3 in.
Answers
Answer:
I would say D.
Step-by-step explanation:
yeah
Another real estate agent sold a house for $315,000 last week. If her commission is 1.25% of the selling price of the home, find the amount of her commission
Answers
Answer:
$3937.50
Step-by-step explanation:
315,000 * 1.25% = 315,000 * 1.25/100 = 3,150*1.25 = 3937.5
In the figure, TU is tangent to the circle at point U. Use the figure to answer the questions A and B. (The questions A and B are posted in the picture with the figure). ( Please Don't Repaste Another Students Answer To Answer My Questions). Will Mark Brainliest .
Answers
Answer:
a) UT² = ST · (RS + ST)
b) UT = 6 in
Step-by-step explanation:
Secant : a line that intersects the circle at two pointsTangent : a line that touches the circle at one pointIf a secant and a tangent of a circle are drawn from a point outside the circle, then the product of the lengths of the secant and its external segment equals the square of the length of the tangent segment.
UT² = ST · (RS + ST)
Given:
RT = 9 inST = 4 inRS + ST = RT⇒ RS + 4 = 9
⇒ RS = 5
Using: UT² = ST · (RS + ST)
⇒ UT² = 4(5 + 4)
⇒ UT² = 36
⇒ UT = √36 = 6 in
What is the length of TV?
1 unit
1 2/3units
2 1/2units
3 units
Answers
solve for w. 5 + 2w = 17
Answers
Answer:
w=6
Step-by-step explanation:
5 + 2w = 17
Subtract 5 from each side
5-5 + 2w = 17-5
2w = 12
Divide each side by 2
2w/2 = 12/2
w = 6
Solution:
Note that:
Given equation: 5 + 2w = 17To solve this problem, isolate the variable by subtracting 5 to both sides of the equation.
=> 5 + 2w = 17=> 5 - 5 + 2w = 17 - 5=> 2w = 12Then, divide 2 both sides to further isolate the variable.
=> 2w = 12=> 2w/2 = 12/2=> w = 6The solution to the equation is 6.
how would i set up this number line?? it’s on kahn academy btw it’s two-step inequality word problems
Answers
Answer: The greater than or equal to sign means that you need a closed circle. Put a closed circle on 358. Make the arrow to the right of 358 because w is greater than 358
Step-by-step explanation:
50w + 100 ≥ 18000
-100 on both sides
50w ≥ 17,900
Divide both sides by 50
w ≥ 358
The greater than or equal to sign means that you need a closed circle. Put a closed circle on 358. Make the arrow to the right of 358 because w is greater than 358
I need help solving this equation.
Answers
Answer:
B) [tex]f^{-1}(x)=x+2[/tex]
Step-by-step explanation:
[tex]y=x-2[/tex]
replace [tex]y[/tex] with [tex]x[/tex]: [tex]x=y-2[/tex]
Make [tex]y[/tex] the subject: [tex]y=x+2[/tex]
Therefore, [tex]f^{-1}(x)=x+2[/tex]