find the positive value of p if the expression 2x²-px+p leaves a remainder 6 when divided by x-p
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
Miguel bikes 23 km per hour and starts at mile 10. Gabby bikes 28 km per hour and starts at hour 0. Which system of linear equations represents this situation
Answer:
Miguel: d = 23t + 10
Gabby: d = 28t
Step-by-step explanation:
We can write the equation for each case in slope-intercept form, d = mt + b
Where,
d = total distance
t = time
m (rate) = distance/hr
b = initial value
✔️ Miguel:
m = 23 km/hr
b = 10 mile
Equation: subtitle the values into d = mt + b
d = 23t + 10
✔️ Gabby:
m = 28 km/hr
b = 0 mile
Equation: subtitle the values into d = mt + b
d = 28t + 0
d = 28t
What's the area of a trapezoid
Answer:
A=27 square units
Step-by-step explanation:
Need help on this please so confusing
Answer:
x = 37 if im correct
Step-by-step explanation:
Yasmin swims at her local swimming pool.
She pays $4.65 each time she visits the pool.
Calculate the total amount of money she pays for 7 visits to the pool.
Please help with this
Answer:
f
Step-by-step explanation:
Help me pls :/
15 points ig
Answer:
D. 17/7
Step-by-step explanation:
Let's make 2 3/7 into an improper fraction. We first multiply the 2 to 7 and then add the 3. So 2 x 7 = 14, 14 + 3 = 17. The denominator always stays the same. Therefore our answer is 17/7
Answer:
D:17/7
Step-by-step explanation:
2×3/7
=(7×2+3)/7
=17/7
Jack took out a 6-year loan for $25,000 to purchase a boat at a 4.5% interest rate. If the interest is compounded monthly, what will he have paid total over the course of the loan?
Answer: $32,732.58
Step-by-step explanation:
To calculate the total loan payment over the course of the loan period, use the future value formula:
= Loan amount * (1 + rate) ^ number of years
As this loan is compounded monthly, you need to convert certain terms to monthly figures:
Number of periods = 6 * 12 months = 72 months
Interest = 4.5 / 12 = 0.375%
Total payment:
= 25,000 * ( 1 + 0.375%)⁷²
= $32,732.58
He will have to pay $34,236.31 over the course of the loan.
Using the compound interest formula expressed as:
[tex]A =P(1+r/n)^{nt}[/tex]
P is the principal = $25000
r is the rate = 4.5% = 0.045
t is the time in years = 6 years
n is the compounding amount = (12)monthly
Substitute into the formula:
[tex]A =25000(1+0.045/12)^{12(7)}\\A=25000(1.36945)\\A = \$34,236.31[/tex]
Hence he will have to pay $34,236.31 over the course of the loan
Learn more on compound interest here: https://brainly.com/question/24274034
Hey saw this man Turns 250 per on per week Plus a 10% commission all sales over 5000 in one week hey cells Toto 14,000 what were his earning that week A.$1,050 B.$1,150 C.$400 D.$2,150
Answer:
B.$1,150
Step-by-step explanation:
Given data
Weekly earning= $250
commission= 10%
Sales= $14000
Hence the expression for his total earnings per week is
y= 0.1x-250
x= sales
y= total earning
y=0.1*14000- 250
y= 1400-250
y= $1150
Could you help ? It says “ a nursery plants a new tree and attaches a guy wire to help support the tree while it’s roots take hold. An eight foot wire is attached to the tree and to a stake in the ground the angle of elevation of the connection with the tree is 42 degrees . Find the nearest tenth of a foot, the height of the connection point on the tree” .
Answer:
5.4'
Step-by-step explanation:
See diagram attached.
The 8' wire is the hypotenuse of the triangle, with a base angle of 42°.
Hence the height is the length of the hypotenuse multiplied by sin(42°)
H = 8sin(42°) = 8 *0.6691 = 5.353'
(see similar or identical question 23903470)
ASAP
-WILL MARK BRIANIST
Answer:
part A: 83-8=75
part B: b represents chocolate bars so the answer would be 75 chocolate bars. good luck with the test and have a nice day!
Step-by-step explanation:
what is the value of 24,093 + 3?
A. 831
B. 8031
C. 8301
D. 8310
Answer:
B (8,031)
Step-by-step explanation:
None of these could be 24,093 + 3 so I'm gonna assume you meant ÷ instead of +
Leonardo put a 600 ring on layaway and putting a 10% down payment to pay $65 a week . How many weeks will it take for him to pay off the ring
hey! i’ll give brainliest please help
What is one possible solution to the equation you wrote in #1, in the form (S,H)
O (20,10)
O (5,10)
O (20,20)
0 (0,40)
Use the function r(x)=2x+1
if r(b)=19 what is the value of b?
Let's think of this like a point. We know the y-value, but not the x-value. Therefore, in order to find b, we should plug in our known y-value, 19, for r(x).
19 = 2b + 1 || We can leave it as x in our equation or change it to b. Either way you will get the same answer. I changed it to b in this case just to follow through with what the question is asking.
18 = 2b
b = 9
Hope this helps!! :)
Answer:
9
Step-by-step explanation:
They are asking what value of x can you input into 2x+1 so that the outpot is 19.
In other words, you need to solve 2x+1=19.
Subtracting 1 on both sides gives: 2x=18.
Dividing 2 on both sides gives: x=9.
So r(9)=19 since 2(9)+1 is 19.
A sprinkler sprays water a distance of 10.2 m in a circular pattern How much area does the sprinkler cover in one complete rotation? Use 3.14 for n and round to the nearest tenth.
Answer:
64.1
Step-by-step explanation:
2 time 3.14 times 10.2
64.056
64.1
¿Cómo se mide el grado de una ecuación algebraica?
Answer: El grado de una ecuación lo marca el monomio (o término) de mayor grado absoluto. 5x + 3 = 2x + 1 Ecuación de primer grado (cada término posee solo una incógnita y su exponente es uno) . 5x + 3 = 2x 2 + x Ecuación de segundo grado.
There are 60 players on a football team. 2/3 of the players are offensive team players 1/12 of the players are special team players The reaming players are defensive players. Each team member is either an offensive, defensive, or special team player. The number of defensive players is -
Answer:
15
Step-by-step explanation:
2/3 x 60 = 40
1/12 x 60 = 5
60 - 40 - 5 = 15
Help me please it’s not a or b btw
Answer:
from what I'm seeing the answer is C
You buy 11 bagels with a $20 bill. How much change do you receive?
Answer:
You would receive $13.75
Step-by-step explanation: What i did was divided 7.50 by 6 so it would give me the price of 1 bagel(1.25).I subtracted 11 and 6 which would give me 5 so I know how much I need to calculate with the discount. Then I multiplyed 5 times 1.25 (6.25) so I could get the price for 5 bagels. After I added 7.50 and 6.25 which would give you your answer of $13.75.
I hope this helps and makes sense to you. Please mark brainlist!
Step-by-step explanation:
Answer:
You would receive $13.75
Step-by-step explanation:
What i did was divided 7.50 by 6 so it would give me the price of 1 bagel(1.25).I subtracted 11 and 6 which would give me 5 so I know how much I need to calculate with the discount. Then I multiplyed 5 times 1.25 (6.25) so I could get the price for 5 bagels. After I added 7.50 and 6.25 which would give you your answer of $13.75.
Hope u understand
Please mark brainliest
Thank You
5. A construction area has 6 cylindrical posts protecting the
equipment. They are filled with sand to reinforce them. If each
cylinder is 4 feet tall and has a diameter of 1 foot, how much sand
was needed to fill the cylinders?
Record your answer and fill in the bubbles on your answer. (If it’s wrong or random you will be reported)
document. Be sure to use the correct place value.
Answer: what’s the answer ?
Step-by-step explanation:
If each cylinder is 4 feet tall and has a diameter of 1 foot then the amount of sand needed to fill the cylinders is 19 cubic feet.
Given that there are 6 cylindrical posts protecting the equipment
To find tge amount of sand needed for cylinders,
We need to find the volume of each cylinder.
The cylinder is 4 feet tall and has a diameter of 1 foot,
Height is 4 feet
Diameter is 1 foot and radius is 1/2 feet.
Volume of cylinder = πr²h
=3.14×(1/4)(4)
=3.142 cubic feet.
As there are six cylinders.
Multiply 6 with 3.142
Amount of sand needed = 6×3.142
= 18.852 cubic feet.
To learn more on Three dimensional figure click:
https://brainly.com/question/2400003
#SPJ2
Pls hurry
Rafael writes an expression to represent "a number, n, decreased by thirty-one." Then he evaluates that expression if
n-29. Which statements are true about the expression and its evaluation? Check all that apply.
The correct expression is 31-n.
This is a subtraction expression.
This is an addition expression.
To evaluate, substitute 29 for the variable in the expression.
To evaluate, substitute 31 for the variable in the equation.
To evaluate the expression, add 31 to 29.
The correct expression is n-31.
To evaluate the expression, subtract 31 from 29.
Step-by-step explanation:
To evaluate, substitute 29 for the variable in the expression.
To evaluate, substitute 31 for the variable in the equation.
To evaluate the expression, add 31 to 29.
The correct expression is n-31.
To evaluate the expression, subtract 31 from 29Pls hurry
Rafael writes an expression to represent "a number, n, decreased by thirty-one." Then he evaluates that expression if
n-29. Which statements are true about the expression and its evaluation? Check all that apply.
The correct expression is 31-n.
This is a subtraction expression.
This is an addition expression.
To evaluate, substitute 29 for the variable in the expression.
To evaluate, substitute 31 for the variable in the equation.
To evaluate the expression, add 31 to 29.
The correct expression is n-31.
To evaluate the expression, subtract 31 from 29..
Help !Which of the following functions are linear?
Function A
Function b
Function a and b
Or none of the above
Answer:
function A
Step-by-step explanation:
_______________
A test was given to 120 students, and the scores approximated a normal distribution If
the mean score was 72 with a standard deviation of 7, approximately what percent of the
scores were 65 or higher?
Answer:
84.13% aka. 101/120 students
Step-by-step explanation:
P(X>65) = normalcdf(65,100,72,7) = 0.8413130544 ≈ 0.8413 ≈ 84.13%
Therefore, about 84.13% of the scores were 65 or higher, meaning that about 101 students got a score of 65 or higher.
84% of students have a score of 65 or higher.
What is Normal Distribution?'Normal distribution is a continuous probability distribution wherein values lie in a symmetrical fashion mostly situated around the mean.'
According to the given problem,
For this sum, the mean and standard deviation are mentioned.
Mean = 72
S.D = 7
We will be using the bell curve of normal distribution for solving this sum.
Area under the curve that represents more than 65:
= 34% + 34% + 13.50% + 2.35% + 0.15%
= 84%
Hence, we can conclude that 84% of the scores were 65 or higher.
Learn more about normal distribution: https://brainly.com/question/13759327
#SPJ2
Find the area of the bolded sector in the circle below.
Leave your answer in terms of pi. Just type what number should be multiplied to the pi)
area sector = ?? π
Answer:
Area of the sector formula:
A = πr²(θ/360)We have:
θ = 120r = 12 miSubstitute values and find A:
A = π(12²)(120/360) = 144π/3 = 48πDiedra rolls an unbalanced die 72 times and gets a "6" 21 times. If she rolls the die 15 more times, which of these is the most reasonable prediction of the number of times she will not roll a "6"?
By using the relative frequency, we can expect to not roll a "6" in 11 rolls.
How many times can we expect to not roll a "6"?
We know that in a total of 72 rolls, the outcome is "6" 21 times.
Then the relative frequency is:
F = 21/72 = 0.292
Then we can expect that in N rolls, we will get (0.292)*N times a "6".
So the number of times that we will not get a 6, is:
(1 - 0.292)*N
In this case is N = 15, then we get:
(1 - 0.292)*15 = 10.62
Rounding to the next whole number we get 11, this means that we can expect to not roll a "6" in 11 rolls.
If you want to learn more about relative frequency:
https://brainly.com/question/3857836
#SPJ2
How do I find the angles
Answer:
if there smaller than 90 degrees then it's acute if the angle is bigger then 90 degrees it's obtuse
Step-by-step explanation:
What is the value of B for the following triangular prism?
120 cm 2
60 cm 2
5 cm 2
2.5 cm 2
Step-by-step explanation:
[tex] \frac{1}{2} (10)(12) \\ \frac{1}{2} (120) \\ 60 {cm}^{2} [/tex]
On selling an article for Rs 2300, a shopkeeper made a profit of 15 %. find the cost price of the article.
Let the cost price of article be x :
x + x × ( 15/100 ) = 2300
x + x × ( 5 × 3 / 5 × 20 ) = 2300
x + x × ( 3 / 20 ) = 2300
x + ( 3 × x / 20 ) = 2300
x + ( 3x / 20 ) = 2300
( 20x / 20 ) + ( 3x / 20 ) = 2300
20x + 3x / 20 = 2300
23x / 20 = 2300
Multiply both sides by 20
( 23x / 20 ) × 20 = 2300 × 20
23x = 2300 × 20
23x = 23 × 2000
Divide both sides 23
23x ÷ 23 = ( 23 × 2000 ) ÷ 23
x = Rs 2000