Answer:
x-8 is a factor of f(x)
Step-by-step explanation:
The polynomial remainder theorem states that the remainder of the division of a polynomial f(x) by (x-a) is equal to f(a).
We are given the function
[tex]f(x)=-2x^3+17x^2-64[/tex]
And it's required to find if x-8 is a factor of f.
Applying the mentioned theorem, we only have to find f(8):
[tex]f(8)=-2\cdot 8^3+17\cdot 8^2-64[/tex]
Operating:
[tex]f(8)=-2\cdot 512+17\cdot 64-64[/tex]
[tex]f(8)=-1024+1088-64[/tex]
[tex]f(8)=0[/tex]
Thus, x-8 is a factor of f(x)
Find the coordinates of point P that lies along the directed line segment AB in a 2:3 ratio given A (-2, 1), B (3, 4).
Answer:
[tex]P(x,y) = (0,\frac{11}{5})[/tex]
Step-by-step explanation:
Given
[tex]A = (-2,1)[/tex]
[tex]B = (3,4)[/tex]
[tex]m:n = 2:3[/tex]
Required
Determine the coordinates of P
The coordinate of a point when divided into ratio is:
[tex]P(x,y) = (\frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n})[/tex]
Where
[tex](x_1,y_1) = (-2,1)[/tex]
[tex](x_2,y_2) = (3,4)[/tex]
[tex]m:n = 2:3[/tex]
This gives:
[tex]P(x,y) = (\frac{2 * 3 + 3 * -2}{2 + 3},\frac{2 * 4 + 3 * 1}{2 + 3})[/tex]
[tex]P(x,y) = (\frac{6 - 6}{5},\frac{8 + 3}{5})[/tex]
[tex]P(x,y) = (\frac{0}{5},\frac{11}{5})[/tex]
[tex]P(x,y) = (0,\frac{11}{5})[/tex]
For a party, you buy 4 3/8 lbs of salt water taffy. If 150 people are attending, how much salt water taffy does each person get?
Answer:
..
Step-by-step explanation:
The distance between (2, 3) and (6, -2) is
Answer:
(4, -5) should be the correct answer
Step-by-step explanation:
I hope this helps, please mark brainliest if correct!
What is the equation of a hyperbola with a = 5 and c = 15? Assume that the transverse axis is horizontal.
Answer:
[tex]\frac{x^2}{25} -\frac{y^2}{200} =1[/tex]
Step-by-step explanation:
Recall that the equation of hyperbola centered at the origin with transverse horizontal axis has the general form:
[tex]\frac{x^2}{a^2} -\frac{y^2}{b^2} =1\\and\,\,\,\, with\\c=\sqrt{a^2+b^2}[/tex]
since we know that a = 5 ,and c = 15,we can solve for b:
[tex]15=\sqrt{5^2+b^2} \\15^2=25+b^2\\b^2=200\\[/tex]
then the equation of the hyperbola becomes:
[tex]\frac{x^2}{5^2} -\frac{y^2}{200} =1\\\frac{x^2}{25} -\frac{y^2}{200} =1[/tex]
Which is a correct frost step for solving this equation
Answer:
you have to post the equation
Step-by-step explanation:
please answer see the image below
Answer:
64.8Step-by-step explanation:
total area = rectangle + semi circle
= (11 x 5) + (1/2 * π * 2.5²)
= 55 + 9.8
= 64.8 sq. units
Find the volume of figure B. Round your answer to two decimal places.
Answer:
I wanna say 60, I just doubled 30
30 x 2 = 60m. Could be wrong.
IF UR GOOD IN GEOMETRY THIS QUESTION IS FOR YOU !! PLEASE HELP I SUCK AT MATH !
Answer:
(2,3 is dilated to 8,12 by a scale factor of 4)
Step-by-step explanation:
multiply 2,3 by numbers until it gets to 8,12, once you multiply by 4 you get 8,12 which means the answer is a scale factor of 4
anybody know the answer?
ive been stuck on this math question foreverrrrrr theres no context they just want a explanation of the answer
Answer:
count the colors
Step-by-step explanation:
count the green, then the red, then the blue
2h + (6 + h) + 6 ∙ 2
Answer: 3h+18
Step-by-step explanation:
2h+6+h+12
add like terms (add all the the h’s) which equals 3h and add 6+12 which equals 18 so your answer is 3h+18
The equation of a line is y = 2/3x + 5. What is an equation of the line that is perpendicular to the given line and that passes through the point (4, 2)?
Step-by-step explanation:
line that is perpendicular to the given line :
y = 2/3x + 5
m1 × m2 = -1
m1 = the coefficient of x
m1 = 2/3
remember : m1 × m2 = -1
2/3 x m2 = -1
2m2 ÷ 3 = -1
(let m2 = x)
2x ÷ 3 = -1
(cross multiply)
2x = 3 × -1
2x = -3
(divide both sides by the coefficient of x)
x = -3/2
Remember : m2 =x
m2 = -3/2
The line that passes through the point (4,2) ;
( note : x¹ = 4 , y¹ = 2)
m = (y - y1) ÷ (x - x1 )
-3/2 = (y - 2) ÷ (x - 4)
(cross multiply)
-3(x - 4) = 2 (y - 2)
-3x +12 = 2y - 4
(make y the subject of formula )
-3x + 12+ 4 = 2y
-3x + 16 = 2y
(
(divide through by the coefficient of y)
-3x/ 2 + 16/2 = y
-3/2x + 8 = y
HOPE IT WAS HELPFUL
2. Mr. Cautious has $10 in his wallet and decides to walk dogs for his neighbors to earn more money. He
charges $4 to walk each dog around the block. How many dogs will Mr. Cautious need to walk to have 130$ in his wallet?
Answer:
34
Step-by-step explanation:
What is the solution for 2X- 5=7
Answer:x = 6
Step-by-step explanation:
Answer:
x=6
Step-by-step explanation:
Add 5 to both sides of the equation:
2x -5 = 7
2x -5 +5 =7 +5
Simplify:
2x=12
Divide both sides of the equation by the same term:
2x = 12
2x/2 = 12/2
Simplify again:
x=6
Answer:
x = 6
The exchange rate for 1 dollar is 1.3021 euros
Answer:
889.021796 (or simplifyed, 889.02)
Step-by-step explanation:
1 USD = 1.3021 EU
so what we do here is multiply 1.3021 and 682.76
1.3021 x 682.76 = 889.021796
Learning Task 3: Solve the following. Problems. Write your answer in
your notebook
Every Sunday, JB carries water for fish vendors at 22.30 per pan. How
many pails of water did he carry if he earned 382.50 on a Sunday?
2. Rey has 21.25 kes of coffee. He wants to put 0.25 kg of coffee per bag,
How many bags does he need?
Geen has 4 times as much money as her sister. If Gwen has P 604.80.
how much money does her sister have?
4. 4. Joy is planning to buy a new cellphone worth P 14 552.75. She tries
to save P 582.11 a week from her allowance. How many weeks will it
take her to save the amount enough to buy the cellphone?
5. Yesterday, Sallie took a trip to visit some family. She covered a total of
135.75 miles without making any stops along the way, and it took her
exactly 1.25 hours to arrive at her destination. At what average speed
did she arrive?
f(x)=−10x2−x and g(x)=−2x2−x, find (f−g)(x) and (f−g)(−2)
Answer:
(f - g)(x) = -8x²
(f - g)(2) = -32
General Formulas and Concepts:
Algebra I
Combining like termsStep-by-step explanation:
Step 1: Define
f(x) = -10x² - x
g(x0 = -2x² - x
(f - g)(x) is f(x) - g(x)
(f - g)(2) is f(2) - g(2)
Step 2: Find (f - g)(x)
Substitute: (f - g)(x) = -10x² - x - (-2x² - x)Distribute -1: (f - g)(x) = -10x² - x + 2x² + xCombine like terms: (f - g)(x) = -8x²Step 3: Evaluate
Substitute: (f - g)(2) = -8(-2)²Evaluate: (f - g)(2) = -8(4)Multiply: (f - g)(2) = -32And we have our answers!
determine the slopes below.
What is the value of the expression 14.72 ÷ 3.2
Answer:
Your answer =
4.6
Step-by-step explanation:
Hope it helps
Answer:
4.6
Step-by-step explanation:
my reason is because the other person was right PLEASE GIVE THEM BRAINLIEST
If the Semi Monthly is $4,000
A) How much is the Annual?
B) How much is the Bi Weekly?
C) How much is the Monthly Pay?
D) How much is the Weekly Pay?
E) How much is the Hourly Pay?
Im at a loss on how to answer this I reallyy need help
Please Help me I only have 10 points!!!!!!!!!!!!!
answer this question......
Answer:
its the 3rd answer
Step-by-step explanation:
If a carton of a dozen eggs cost $3.99 how much would 3 eggs be?
Which of the following represent functions that have the same rate of change?
The answers are A and C.
Serious explination on this one with the answer guys? First to answer gets brainliest!
Answer:
the answer is -5x + -8x-5/2x^2-3
Step-by-step explanation:
:)
Given △XPS≅△DNF, find the values of x and y.
Answer:
x = 3
y = 15
Step-by-step explanation:
If △XPS ≅△DNF, their corresponding sides would be congruent. This implies that:
XP ≅ DN
PS ≅ NF
XS ≅ DF
Given that:
XP = 4y - 3
DN = 57
NF = 51
XS = 17x + 3
DF = 54
Therefore:
XP = DN
4y - 3 = 57 (Substitution)
Add 3 to both sides
4y = 57 + 3
4y = 60
Divide both sides by 4
y = 60/4
y = 15
Also,
XS = DF
17x + 3 = 54 (substitution)
Subtract 3 from each side
17x = 54 - 3
17x = 51
Divide both sides by 17
x = 51/17
x = 3
Y is directly proportional to x when x=540 y=10 calculate the value of y when x=540.
Answer:
Step-by-step explanation:
Y should still be 10 since x is 540
What is the equation for (-3,-14) and (0,-9)
What is 12% of 1350?
Answer:
162
Step-by-step explanation:
Find the small positive integer solution that solves the equation. if there is no solution, type NONE.
(8x)(mod 13)≡4
x=?
9514 1404 393
Answer:
x = 7
Step-by-step explanation:
The equation can be rewritten to ...
8x = 13n +4 . . . . for some integers x and n
x = (13n +4)/8
For x to be an integer, 13n must be an odd multiple of 4. Since 13 is an odd number, n=4 will do.
x = (13·4 +4)/8 = 56/8
x = 7
__
The graph shows a "trial and error" method of solution. Only values of x less than 13 need to be examined.
emilio is tiling a countertop with square tiles. Each tile covers 64 square inches. THe total area of the countertop is 5,184 square inches. What is the minimum number of tiles Emilio will need to tile the entire countertop. Use explanation or reported
What's 1+1? PLZ answer.
Answer:
1 + 1 = 2
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
1+1 =2