Answer:
The final final number becomes 102 % of the original number
Step-by-step explanation:
Let the initial number be 100
After decreasing 15%, the new number is 100-15% of 100 = 85
The resulting number is then increased by 20%. The new number will be
85 + 20% of 85 = 85 + 17 = 102
The final final number becomes 102/100 * 100 percent of the original number
The final final number becomes 102 % of the original number
Write the function in the form f(x) = (x − k)q(x) + r for the given value of k. F(x) = x3 − x2 − 18x + 19, k = 4 f(x) = Demonstrate that f(k) = r. F(4) =
Solution :
Given :
[tex]$f(x)=x^3-x^2-18x+19$[/tex]
By using the remainder theorem, if f(x) is divided by (x-k) and the remainder is 'r', then
[tex]$f(x)=(x-k)q(x)+r$[/tex]
Here, k = 4
Therefore, divide the f(x) with (x - 4) to find the q(x) and r.
__________________
[tex]$x-4$[/tex] | [tex]$x^3-x^2-18x+19$[/tex] | [tex]$x^2+3x-6$[/tex]
[tex]$x^3-4x^2$[/tex]
------------------------------------
[tex]$3x^2-18x$[/tex]
[tex]$3x^2-12x$[/tex]
-------------------------------------
[tex]$-6x+19$[/tex]
[tex]$-6x+24$[/tex]
-------------------------------------
[tex]$-5$[/tex]
Therefore,
q(x) = [tex]$x^2+3x-6$[/tex]
r = -5
[tex]$f(x)=(x-4)(x^2+3x-6)-5$[/tex]
[tex]$f(4)=(4-4)(4^2+3 \times 4-6)-5$[/tex]
[tex]$=-5$[/tex]
Which is the correct answer A B C D ?
Answer: c
Step-by-step explanation:
Can somebody help me answer this into Y=Mx +B
Answer: Slope intercept form
Step-by-step explanation:
m=slope
b=y-intercept
i’m tryna finish my exit ticket asap please i don’t need no links i just need help and the answer please
Answer:
B
Step-by-step explanation:
i need help with all of them lololol
Answer:
(If you need the actual explanations for each one, just ask in comments)
Step-by-step explanation:
1: D
2: G
3: A (60/100 = 6/10 = 3/5)
4: H (Min = 18, Q1 = 19, Median = 23, Q3 = 24, Max = 26)
5: C (2:6 = 1:3; 3:9 = 1:3)
6: J (2:15 = 10:75; multiply each side by 5)
7: A (A & B: 6*2/3 = 4, 4 < 6, 4 not > 6. C: 6*3/2 = 9, 9 not < 6. D: 6*3/3 = 6 not > 6).
Stella needed to get her computer fixed. She took it to the repair store. The technician
at the store worked on the computer for 3.25 hours and charged her $75 for parts.
The total was $188.75. What was the cost of labor, per hour?
9514 1404 393
Answer:
$35 per hour
Step-by-step explanation:
The total charge is the sum of costs of parts and labor. If h is the cost of a labor hour, then we have ...
188.75 = 75 + 3.25h
113.75 = 3.25h . . . . . . . . subtract 75
113.75/3.25 = h = 35 . . . divide by the coefficient of h
The cost of labor, per hour, is $35.
I need help with this!
Answer:
Step-by-step explanation:
What is the question?
PLEASE HELP
Is th function shown a linear function?
EXPLAIN PLZZ
NO LINK
2/3+1/12 what's the answer
Answer:
3/4 or 9/12 make the denominators the same then just add
Answer:
9/12 or simplified as 1/4
Step-by-step
2×4/3×4 + 1/12
= 8/12 + 1/12
= 9/12
= 1/4
You want to create a scale model for a building that will be 120feet tall and 40 feet wide. If you make the model 6 feet tall, how wide should it be?
Given:
Length of the building = 120 feet
Width of the building = 40 feet
Length of the model = 6 feet
To find:
Width of the model.
Solution:
The scale model similar to the original figure and the corresponding sides of the similar figures are proportional.
Let x be the width of the building.
[tex]\dfrac{\text{Length of the building}}{\text{Length of the model}}=\dfrac{\text{Width of the building}}{\text{Width of the model}}[/tex]
[tex]\dfrac{120}{6}=\dfrac{40}{x}[/tex]
[tex]20=\dfrac{40}{x}[/tex]
[tex]x=\dfrac{40}{20}[/tex]
[tex]x=2[/tex]
Therefore, the width of the model is 2 feet.
-3x + 2 = -13 what is x?
Answer:
x = 5
Step-by-step explanation:
have a nice day
brainliest?
growth or decay pls answer
Answer:
exponential decay because the base is less than one
Step-by-step explanation:
Can you help me with this like explain how and stuff, Please?
Answer:
Step-by-step explanation:I belive that the 7x+22 needs to equal 50 because they opposite angles. Hope this helped a little and can get you started
Answer:
22.57
Step-by-step explanation:
7x+ 22 =180 180 because its a supplimentary angle -22 from 22 and 180 22 and -22 cancel out the 180 - 22 = 158
then you have 7x = 158 divide both numbers by 7 to isolate x then divide 158 by 7 = 22.57
A traffic camera sits on top of a tower that has a height of 39 ft. The angles of depression of a car on a straight road at the same level as that of the base of the tower and on the same side of the tower are 31°. Calculate the the distance between the base of the poll and the car. Round to the nearest tenth of a foot. *
Answer:
48ft
Step-by-step explanation:
Distance of car A from the towerConsider ∆ACD tan25 = 50/AC AC = 50/tan25 = 50/0.4663 = 107.2 ft Distance of car B from the towerConsider ∆BCD tan40 = 50/BC AC = 50/tan40 = 50/0.8391 = 59.6 ftDistance from cars A and B AB = AC – BC = 107.2 – 59.6 = 48 ft The distance between the two cars is 48ftWhat are the zeros of f(0) ** - 202
OAX-5 and x4
BN-10 and x = 2
OCX-2 and x = 10
DX-4 and 5
Answer:
b
Step-by-step explanation:
pls help me out what up
Answer:
Answers are below
Step-by-step explanation:
29. 3(4x-5) + 4(2x+6)
Solution: 20 + 9
30. -8(2a - 3b) - 5(6b - 4a)
Solution: 4 − 6
31. 10(5g + 2h - 3) - 4(3g - 4h + 2)
Solution: 38 + 36ℎ − 38
hope this helps :) Let me know if you need any further explanations.
Drag the dot to plot (-5, -9), and then select its location on the coordinate plane.
Amare drops a probe into a lake. The elevation of the probe changes
by - 13 feet every second. The probe takes 50 seconds to reach
the bottom of the lake. How deep is the lake? Show your work .
Answer:
13 x 50 = 650
Step-by-step explanation:
Answer:
75 ft
Step-by-step explanation:
PLEAS EHEKP ILL GIVE BRAINLIEST
SHOW WORK SO I CAN UNDERSTAND PLEASE
Answer:
$49.72
Step-by-step explanation:
The tip is 11% of the price of the pizza.
The price of the pizza is $452.
The tip is 11% of $452.
To find a percent of a number, change the percent to a decimal and multiply by the number. To change a percent to a decimal, divide the percent by 100 which is the same as moving the decimal point two places to the left.
11% of $452 =
= 0.11 * $452
= $49.72
Answer: $49.72
A biologist is studying the growth rate of a bacteria sample. The sample started with a bacterial count of 331. The chemist's data shows the count to be increasing by 6% every 2 hours. At that rate, approximately what is the bacterial count after 6 hours?
A. 418
B. 450
C. 394
D. 470
Mhanifa please help i will mark brainliest!
Answer:
(11)
Rectangle
All interior angles are right angles
Diagonals bisect each other, diagonals are congruent
∠3 = 33°∠1 = ∠5 = 90° - 33° = 57°∠2 = 180° - 2*57° = 66°∠4 = 180° - 66° = 114°(12)
Rhombus
Diagonals are perpendicular and angle bisectors
∠2 = ∠5 = 53°∠1 = ∠4 = 90° - 53° = 37°∠3 = 90°A rectangle has a height of x+ 9 and a width of x^2 + 2x
Express the area of the entire rectangle.
Your answer should be a polynomial in standard form.
X^2
+
2x
X
+
9
Answer:
x³ + 11x² + 18x
Step-by-step explanation:
(x² + 2x)(x + 9)
Step 1: Distribute x²+2x into x + 9.
x³ + 2x² + 9x² + 18x
Step 2: Combine like terms.
x³ + 11x² + 18x
The area of this rectangle is x³ + 11x² + 18x.
Answer:
Area= height x width = (x + 9) (x^2 + 2x) = x^3 + 2x^2 + 9x^2 + 18x = x^3 + 11 x^2 + 18x
Step-by-step explanation:
The height is (x + 9) and the width is (x^2 + 2x) and the the area of the rectangle is equal to: Area= height x width = (x + 9) (x^2 + 2x) = x^3 + 2x^2 + 9x^2 + 18x = x^3 + 11 x^2 + 18x
What is the likelihood that a point chosen inside the square will also be inside the circle ?It Chose one : A. is impossible ,B. it is unlikely, C it is likely D. it is certain
Answer:
C. It is likely
Step-by-step explanation:
Given
See attachment for diagram
For the square.
Let
[tex]Length = L[/tex]
So, the area is:
[tex]Area = Length^2[/tex]
[tex]A_1=L^2[/tex]
The side length of the square equals the diameter of the circle.
So:
[tex]diameter (d) = L[/tex]
The radius is:
[tex]r = \frac{1}{2}d[/tex]
[tex]r = \frac{1}{2}L[/tex]
The area is:
[tex]Area = \pi r^2[/tex]
[tex]A_2 = \pi * (\frac{1}{2}L)^2[/tex]
[tex]A_2 = \pi * \frac{1}{4}L^2[/tex]
[tex]A_2 = \frac{22}{7} * \frac{1}{4}L^2[/tex]
[tex]A_2 = \frac{22}{28} L^2[/tex]
The likelihood that a point will be common to the square and the circle is:
[tex]Pr = \frac{A_2}{A_1}[/tex]
[tex]Pr = \frac{\frac{22}{28} L^2}{L^2}[/tex]
[tex]Pr = \frac{22}{28}[/tex]
[tex]Pr = 78.57\%[/tex]
The above probability is greater than 50% but less than 100%.
Hence, it is likely
Answer:
C. Likely
Step-by-step explanation:
all the points are in the circle so it's likely to choose a point inside the circle
somebody answer i need Help
Answer:
$5.00
Step-by-step explanation:
$5 because it occurs the most
Answer:
$5
Step-by-step explanation:
The mode is the price that appears the most often in a given list.
5(22–3)-3(x+4),
Which expression is the simplest form of
9
A.
72-3
9
72-27
B.
C.
132-27
9
D. 72 – 3
Answer:
342
Step-by-step expl\
5335=454
30 months =
years
months
Answer:
2.5 years/2 years 6 months
Step-by-step explanation:
Half year = 6 months
One year = 12 months
Two years = 24 months
30-24=6 months
2 Years + 6 months = 2.5 years/30 months/2 years 6 months
ILL MARK BRAINLIEST TO FIRST PERSON THAT ANSWERS CORRECTLY!
Annita baby sits at a rate of $7 per hour. Identify the type of relationship this represents. Explain your answer.
Answer: The relationship is proportional.
Step-by-step explanation: Because the baby sitters work corresponds to their hourly pay. (I think)
How many minutes are there in 12.5 hours?
Answer:
750 minutes
Step-by-step explanation:
Answer:
750 minutes would be your answer
Step-by-step explanation:
The midpoint of AB is M(-4, 2). If the coordinates of A are (-6, 5), what are the coordinates of B?
Answer:
figure it out
Step-by-step explanation:
What is the measure of the given angle in degrees? A=pi/3
Answer:
A = pi/3 = 1.05°
Step-by-step explanation: