Explanation:
[tex]f(x) = 2x^2 -px + p\\given \ f(x) \ \ leaves ] remainder \ when \ divided \ by \ x - p \\\\Therefore, \\\\f(p) = 6\\\\=> f(p) = 2(p)^2 -p(p) + p = 6\\\\==>2(p)^2 - p^2 + p = 6\\\\=> p^2 + p - 6 = 0\\\\=>p^2 + 3p - 2p -6 = 0\\\\p(p+3)-2(p+3) =0 \\\\(p-2)(p+3) = 0\\\\p = 2, -3[/tex]
Answer : p = 2
Carlos makes a 15% commission on the mattresses that he sells to customers. If he sells $8,500 worth of mattresses, what is his commission?
Answer:
Net commission= $1,275
Step-by-step explanation:
Giving the following information:
Sales= $8,500
Sales commission rate= 15% = 0.15
To calculate the net commission, we need to use the following formula:
Net commission= sales * Sales commission rate
Net commission= 8,500 * 0.15
Net commission= $1,275
A corporate team-building event costs $2 for every attendee. Write an equation that shows the relationship between the attendees x and the cost y.
Write your answer as an equation with y first, followed by an equals sign.
Answer:
y = 2x
Step-by-step explanation:
1. attendee = x
2. cost = y
3. for each attendee [x], you have $2 of cost, so for each 1 x, you have 2 as result
4. Thus, y = 2x
A right cylindrical vase holds 2.50 L of water. If the radius of the vase is 9.00 cm, what is the height of the vase, rounded to the nearest hundredth of a centimeter? (Note: 1 cm3 = 0.001L)
Answer: 9.82 cm
Step-by-step explanation:
A rectangle has an area of 4y^2 – 49 square units. What are the dimensions of the rectangle?
A) (2y – 7) units by (2y – 7) units
B) (4y – 49) units by (y + 1) units
C) (2y – 7) units by (2y + 7) units
D) (y – 7) units by (4y + 7) units
The dimensions of the rectangle are (2y – 7) units by (2y + 7) units
Area of a rectangleThe formula for calculating the area of a rectangle is expressed as
Area = length * width
Given the following parameter
Area = .4y² - 49
Factorize the area
Area = (2y)² - 7²
Using the difference of two square
Area = (2y - 7)(2 y + 7)
Hence the dimensions of the rectangle are (2y – 7) units by (2y + 7) units
Learn more on area of rectangle here: https://brainly.com/question/25292087
#SPJ1
please help me!! i have no clue what i am doing on this one.
Answer:
yr answer is G. 21
stay safe healthy and happy..log 2 (24) - log 2 (3) = log 5 (x)
log 2 (24 / 3) = log 5 (x)
log 2 (8) = log 5 (x)
log 2 (2^3) = log 5 (x)
3 × log 2 (2) = log 5 (x)
3 × 1 = log 5 (x)
3 = log 5 (x)
x = 5^3
x = 125
What is this distance in standard form??
Tony's class needs more than $500 for the school dance.
So far, they have raised $200. They plan to have a car
wash, charging $8 a car, to raise more money. Tony
solved the inequality 8x + 200 > 500, and determined
that if they wash 37 cars, they will have enough money.
Is he correct? Explain.
(Please reply with sample answer if there is one!!)
Answer:
yes hes correct.
Step-by-step explanation:
37x8=296. 296+200= 596. 596>500
Answer:
No, Tony is not correct. Solving the inequality tells us that x is greater than or equal to 37.5 Since the class must wash a whole number of cars, they need to wash at least 38 cars.
Step-by-step explanation:
I did the assignment, this is the Sample Response.
WILL GIVE BRAINLIEST IF RIGHT IG....PLEASE get it RIGHT....
find the volume of a cone with a diameter of 12m and a height of 8m.
ANSWER CHOICES
oA. 96m^3
oB. 384 pi m^3
oC. 96 pi m^3
oD. 288 pi m^3
Answer:
V = 96 pi m^3
Step-by-step explanation:
V = (1/3) pi(r^2)h
Radius = 1/2(Diameter)
R = 1/2(12)
R = 6
Input.
V = (1/3) pi(6^2)8
Solve.
V = (1/3) pi(36)8
V = (1/3) 904.32
V = 301.44
V = 301.44/pi
V = 96 pi m^3
Answer:
The correct answer is option (C) 96π m³.
Step-by-step explanation:
As per given question we have provided that :
⟶ Diameter = 12 m⟶ Radius = 12/2 = 6 m⟶ Height = 8 mHere's the required formula to find the volume of cone :
[tex]{\longrightarrow{\pmb{\sf{V_{(Cone)} = \dfrac{1}{3}\pi{r}^{2}h}}}}[/tex]
➝ V = Volume➝ π = 22/7➝ r = radius➝ h = heightSubstituting all the given values in the formula to find the volume of cone :
[tex]{\implies{\sf{V_{(Cone)} = \dfrac{1}{3}\pi{r}^{2}h}}}[/tex]
[tex]{\implies{\sf{V_{(Cone)} = \dfrac{1}{3}\pi{(6)}^{2}8}}}[/tex]
[tex]{\implies{\sf{V_{(Cone)} = \dfrac{1}{3}\pi{(6 \times 6)}8}}}[/tex]
[tex]{\implies{\sf{V_{(Cone)} = \dfrac{1}{3}\pi \times {(36)} \times 8}}}[/tex]
[tex]{\implies{\sf{V_{(Cone)} = \dfrac{1}{3} \times \pi \times 36 \times 8}}}[/tex]
[tex]{\implies{\sf{V_{(Cone)} = \dfrac{1}{\cancel{3}} \times \pi \times \cancel{36} \times 8}}}[/tex]
[tex]{\implies{\sf{V_{(Cone)} = \pi \times 12 \times 8}}}[/tex]
[tex]{\implies{\sf{V_{(Cone)} = \pi \times 96}}}[/tex]
[tex]{\implies{\sf{V_{(Cone)} =96\pi}}}[/tex]
[tex]\star{\underline{\boxed{\sf{\red{V_{(Cone)} =96\pi \: {m}^{3}}}}}}[/tex]
Hence, the volume of cone is 96π m³.
[tex]\rule{300}{2.5}[/tex]
PLEASE HELPPP! TWO DIFFERENT GRAPHS, TWO DIFFERENT QUESTIONS,
#1 Which statement is true? Select all that apply. (There are multiple correct answers, select ALL.) + (This is for the SUBMARINE graph.)
A: The relationship is proportional.
B: The slope is -6.
C: The slope is negative.
D: The y-intercept is -3.
E: The equation of the line is y=-3x
#2 PART A: What is the slope of the line? (Only one is correct.) + (This is for the water in the sink graph)
m = 2
m = -2
m = 1/2
m = -1/2
#2 PART B: Connor says the graph shows that water is flowing at a rate of 2 gallons per minute. Is he correct? (Yes or no)
Answer:
I am not 100%
#1 = C,D,E
#2 = 1/2
if u = 1 + 3i and v= -4 - 5i, find u + V.
Answer:
-3-2i
Step-by-step explanation:
u+V= 1+3i+(-4-5i)=1+3i-4-5i= -3-2i
What is the mean of this data set? (Round to the nearest whole number)
14, 79, 77, 11, 14, 78, 77, 65, 31, 56, 16
77
14
47
56
Answer:
47
Step-by-step explanation:
to find the mean we add all numbers and divide by how many there are
14+79+77+11+14+78+77+65+31+56+16/ 11 ≈ 47
Decide if the following biconditional statement
is true or false;
A triangle is equilateral if and only if three sides
are congruent.
True
False
Answer:
True
Step-by-step explanation:
Pretty sure it's true.
PLZ HELP ASAP :( I need to show work and this is my very last assignmenttt
(part 2)
Answer:
3. 60°
4. 378.542
Step-by-step explanation:
in the picture
4) 9i(5) + 5i(3)– 10i
Answer:
50i
Step-by-step explanation:
Need help with 2 and 3 ASAP PLEASE SHOW WORK
Answer: #2; 25.13274, #3; 167.55161
Step-by-step explanation:
The length of a rectangle is 8 cm. Its diagonal measures 14
cm. What is its width?
Answer:
width is 2√33 cm
Step-by-step explanation:
you will make a right triangle with hypothenuse 14 , one side 8 and the other side x is the width.
use Pythagorean Th.
14² = 8² + x²
x² = 14² -8²
x² = 132
x = √132 = 2√33
Look at the picture
Its d because 16/12=1.33 same with 20/15 and 40/30 so its 24x1.33 which is 32 there for d is correct
Sally's math grade average went from an 84 to a 98. What was the percent of increase in her grade average?
A. 14% B. 14 2/7% C. 16 2/3% D. 22%
Please answer with clear explanation not just the answer please
Answer:
98 - 84 = 14(this is the change) now we convert this to a percent
14/1 x 100/100 = 14%
Pls answer if u dont get answer right u. Get the boot no points and a report if u scam
Answer:
.65
Step-by-step explanation:
4.58/7=.65
Ella builds a rectangular sandcastle with a length of 41 inches and a width of 32 inches. What is the perimeter of her sandcastle?
Answer: [tex]146\ in.[/tex]
Step-by-step explanation:
Given
The dimension of the rectangular sandcastle is
length [tex]l=41\ in.[/tex]
width [tex]w=32\ in.[/tex]
Perimeter is the sum of the sides of rectangle
[tex]\therefore\ \text{Perimeter= }2\left(l+w\right)\\\Rightarrow \text{Perimeter= }2(41+32)\\\Rightarrow \text{Perimeter= }2\times 73\\\Rightarrow \text{Perimeter= }146\ in.[/tex]
hey! i’ll give brainliest help thanks
Answer: The last one
Step-by-step explanation:
Answer:
D. 4th Option.
Explanation:
The cause is that a team is from your town and the effect is that you'll try to be a fan. The italicized words if and then indicate a cause and effect.
PLEASE HELP ME!!! I WILL GIVE YOU BRAINLIEST
Answer:
hi i think you answer will be 28 square units
Can you help me, its due in a few minutes ?
Answer:
96 miles
Step-by-step explanation:
180 * 4/5 =144
144/ 3/2 =96
helppppp make your answers clear
Answer:
189 yd²
Step-by-step explanation:
so in a prism, there are total 5 surfaces;
3 rectangular(all of same size)
2 triangular (of same sizes too)
so the area of trangle = 1/2× base × height = 1/2 × 6× 4 = 12yd²
for two triangles, Area= 24 yd²
area of a rectangle= length× breadth = 11× 5 = 55yd²
for three rectangles, area= 165yd²
now you add them
total surface area = 24+ 165= 189yd²
What is the measure of BA (the minor arc) in the diagram below?
D
B
72"
A
C
A. 1440
B. 216°
C. 36°
D. 72°
helppp plsss
Answer:
144
Step-by-step explanation:
you have to use this formula
m CBA>= a
BA ( =2a
CBA>=72
BA )=72×2
hopefully its helpful
Answer:
A
Step-by-step explanation:
The inscribed angle ABC is half the measure of its intercepted arc AB, then
arc AB = 2 × ∠ ABC = 2 × 72° = 144° → A
mean absolute deviation of 50 51 56 59
Jackie And her friends of their favorite organization. Jackie received four times the votes warren received .there were 200 ballots cast how many votes did Jackie receive
Answer:
800
Step-by-step explanation:
The pool at the hotel where Gabriel is staying is symmetrical and shaped like the letter "W" below. A pool is made up of 3 rectangles. One rectangle has a base of 10 yards and height of 10 yards. Another has a base of 20 yards and height of 10 yards. Another has a base of 20 yards and height of 10 yards. The bottom surface of the pool is flat and needs new tile. If each tile covers StartFraction 1 Over 9 EndFraction of a square yard and costs $3, what is the cost of the tiles to retile the bottom of the pool? $1,500 $4,500 $10,800 $13,500
Answer:
So its just 4,500 yw
Step-by-step explanation:
4,500 so b i think
WHAT IS 8901 times 45378 Noo linkes
Answer:
403909578
Step-by-step explanation:
HELPP i'll give brainliest for the CORRECT answer
Answer:
a = 105 in²
Step-by-step explanation:
Front and back, triangles
a = 2 * (1/2)(5 * 6)
a = 30
Sides, squares
a = 3 * (5 * 5)
a = 75
Total
a = 30 + 75
a = 105 in²