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
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
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.
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
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]
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
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
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
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
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
PLEASE HELP ME!!! I WILL GIVE YOU BRAINLIEST
Answer:
hi i think you answer will be 28 square units
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
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.
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
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:
4) 9i(5) + 5i(3)– 10i
Answer:
50i
Step-by-step explanation:
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.
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%
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
What is this distance in standard form??
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
WHAT IS 8901 times 45378 Noo linkes
Answer:
403909578
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
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]
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:
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
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
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
mean absolute deviation of 50 51 56 59
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