Answer:48
Step-by-step explanation:
multiply 4 and 12
if (2x^3 + ax^2+bx-2) when divided by (2x-3) and (x+3) leaves remainder 7 and -20 respectively, find the values of a and b
your answer
thank you
9514 1404 393
Answer:
a = 3b = -3Step-by-step explanation:
The remainder from division by (2x-3) is the same as the value of the function when that divisor is zero—at x = 3/2.
((2(3/2) +a)(3/2) +b)(3/2) -2 = 7
((3 +a)(3/2) +b)(3/2) = 9 . . . . add 2
9/2 +3/2a + b = 6 . . . . . . . . multiply by 2/3
3/2a +b = 3/2 . . . . . . . . . . . subtract 9/2
3a +2b = 3 . . . . . . . . . . . . . multiply by 2 [eq1]
The remainder from division by (x+3) is the same as the value of the function for x = -3.
((2(-3) +a)(-3) +b)(-3) -2 = -20
(-6 +a)(-3) +b = 6 . . . . . . add 2 and divide by -3
18 -3a +b = 6 . . . . . . . . . eliminate parentheses
3a -b = 12 . . . . . . . . . . . subtract 18, multiply by -1 [eq2]
Subtracting the [eq2] from [eq1], we have ...
(3a +2b) -(3a -b) = (3) - (12)
3b = -9 . . . . . simplify
b = -3 . . . . . . divide by 3
From [eq2], ...
3a -(-3) = 12 . . . . substitute for b
3a = 9 . . . . . . . . subtract 3
a = 3 . . . . . . . . . divide by 3
The values of 'a' and 'b' are 3 and -3, respectively.
kyle's can drive about 360 miles on 11.9 gallons of as which would cost about $
I have 20 mins to do this... If i dont finish I fail i have a C atm if I get a D i fail. PLZ HELP
Answer: Mean is 7 and median is 7
Step-by-step explanation:
2+6+3+10+9+8+10+6+6+10/10
=7
2,3,6,6,6,8,9,10,10,10
6+8/2
=7
Answer:
Terry= mean is 7, median is 7
David= mean is 4.4, median is 4
Step-by-step explanation:
I do not really understands what it means by compare them.
pls help I will give u brainlyist
Answer:
I remember it was Triangular prism or something
Step-by-step explanation:
2 triangles on top
and the sides with rectangle.
describe fully the single transformation that takes shape p onto shape q
Answer:
The single transformation that takes shape 'p' onto shape 'q' is a dilation by a scale factor of 3 with the center point (1, 0)
Step-by-step explanation:
The coordinates of the vertices of shape ΔP are;
A(2, 3), B(2, 1), C(3, 1)
The length AB = 3 - 1 = 2
The length CB = 3 - 2 = 1
∴ The length AC = √(2² + 1²) = √5
The coordinates of the vertices of shape ΔQ are;
A'(4, 9), B'(4, 3), C'(7, 3)
The length A'B' = 9 - 3 = 6
The length C'B' = 7 - 3 = 3
∴ The length A'C' = √(6² + 3²) = √(45) = 3·√5
∴ Figure Q ΔA'B'C' is a dilation of figure P ΔABC by a scale factor of A'B'/AB = 6/2 = 3
The distance of point B(2, 1) from the point (1, 0) = √((2 - 1)² + 1²) = √2
The distance of point B'(4, 3) from the point (1, 0) = √((4 - 1)² + 3²) = 3·√2
Therefore, the distances of points on figure Q from (1, 0) = 3 × the distances of points on figure from (1, 0)
Therefore, figure 'Q' can be obtained from figure 'P' by a dilation of figure 'P' by a scale factor of 3 with the center of dilation at point (1, 0).
find the common difference of the arithmetic sequence -1, -6, -11
Answer:
+-5
Step-by-step explanation:
[tex] - 1 + - 5 = - 6[/tex]
[tex] - 6 + - 5 = - 11[/tex]
Answer:
5
Step-by-step explanation:
The common difference id the difference between two consecutive numbers in the sequence.
(1) -11-(-6) = -11 + 6 = 5
(2) -6-(-1) = -6 + 1 = 5
Therefore 5 is the common difference.
Hope it helps you.
Please mark as the brainliest
Thank You
Given the figure below find the value of x and d
Answer:
x = 2
z = 118
Step-by-step explanation:
The angle with a measure of 118° and the angle labeled "x" are vertical angles
As we know, vertical angles are congruent
Thus, because x's vertical angle equals 118° x also equals 118°
The angle with a measure of 118° and the angle labeled by the expression ( 12x + 38 ) are supplementary angles
Supplementary angles add up to equal 180
Thus, 12x + 38 + 118 = 180
^Note that this is the equation we will use to solve for x
12x + 38 + 118 = 180
step 1 combine like terms
118 + 38 = 156
we now have 12x + 156 = 180
step 2 subtract 156 from each side
156 - 156 cancels out
180 - 156 = 24
we now have 24 = 12x
step 3 divide each side by 12
12x / 12 = x
24 / 12 = 2
we're left with x = 2
help me with my math both question please
Answer:
whats the question...
Step-by-step explanation:
When GH=7z-1 and CB=4z-3 what is GA?
Answer:
GH ll BC
BC=GH➗2
GA=GH➗2
BC=GA= 7z-1
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2
Marking brainliest
Can someone tell me why animal testing is bad?
Answer:
because they inject it into the animals eye's
PLEASE HELP! I need the answer urgently!!
Answer:
Correct Answer is E
Step-by-step explanation:
If B rate and C rate should subtract each other which rules out answers A and B
hence making the total trip would be ~3 hours so answer E adding the rates would be the correct Answer.
Select the correct answer.
A and АВ:
Which matrix is matrix B?
Answer:
Option B
Step-by-step explanation:
Looking at the options, option B is correct because when multiplying it by matrix A, it yields the matrix AB as follows;
First row of A multiplied by first column of matrix in option D;
(1 × -1) + (0 × 0) + (0 × 0) = -1 which corresponds to the first number on the first row of Matrix AB
Since majority of matrix AB are zero, I will just prove the ones that are not zero.
Thus;
Second row of matrix A is multiplied by second column of matrix in option D;
(0 × 0) + (-1 × -1) + (0 × 0) = 1 which is same as 2nd number on second row in matrix AB
Lastly, third row of matrix A is multiplied by third column of matrix in option D;
(0 × 0) + (0 × 0) + (1 × -1) = -1 which is same as third number in third row in matrix AB
Answer:
Option B
Step-by-step explanation:
Did the plato test
please whats the answer to this question
Answer:
[tex]800~cm^3[/tex]
Step-by-step explanation:
[tex]Volume ~of A=(10*(12-5)*5=[/tex]
[tex]10*7*8=[/tex][tex]560 ~cm^3[/tex][tex]Volume~ of ~B= 5*8(10-4)=[/tex]
[tex]5*8*6=[/tex][tex]40*6=[/tex][tex]240~cm^3[/tex][tex]Total ~volume= A+B[/tex]
[tex]560+240=[/tex]
[tex]800~cm^3[/tex]
-----------------------------
hope it helps...
have a great day!!
What is the missing term?
Answer:
4x
Step-by-step explanation:
I'm not sure though try multiplying
The function g is defined by g(x) = 2x² +7.
Find g(4y).
Answer:
32y² + 7
Step-by-step explanation:
To evaluate g(4y) substitute x = 4y into g(x) , that is
g(4y) = 2(4y)² + 7 = 2(16y²) + 7 = 32y² + 7
Jason worked three more hours than Keith. Jason worked 12 hours. Which equation represents the situation, if K is the number of hours Keith worked?
Answer:
J=12. K=3 less than J. 12-3=K
Step-by-step explanation:
Answer:
The answer is C
Step-by-step explanation:
K+3=12
What is the slope-intercept form of the equation of a line that passes through (1,-6) with a slope of 5?
Answer:
y - y1 = m(x - x1)
y + 6 = 5 (x - 1)
y + 6 = 5x - 5
y = 5x - 5 - 6
y = 5x -11
y = mx + b
Slope intercept b = -11
A child is flying a kite and has let out all 80 feet of the kite’s string. The kite is 35 feet above a stop sign.How far is the child from the stop sign? Round your answer to the nearest tenths place.
Answer:
87.32
Step-by-step explanation:
because jfyguvkhijijiguhvkkg
what is the quotient of the following rational expression?
Answer: i cant see it
Step-by-step explanation:
Answer: It's the second one
Step-by-step explanation:
heyy free 40 points I would give more but i have done 100 ,60 ,and 40
Answer:
sup bro
Step-by-step explanation:
Answer:
tyy
Step-by-step explanation:
What is the shortest path that will visit point A, B, C, and D?
https://dw6y82u65ww8h.cloudfront.net/organisations/328/94ce962c-bb45-4cbb-8c4a-2b1e1ed75681/img_quad_vertexedge_d.gif
link to graph
A to D to C to B
C to B to D to A
B to A to D to C
A to B to C to D
Answer:
A to D to C to B
Step-by-step explanation:
A to D to C to B only takes 10.5. Everything else takes a longer distance.
Given the conversion factor 3.28ft/ 1 m which cube has the larger surface area?
Answer:
Solid A
Step-by-step explanation:
The formula to find the surface area of a cube = 6a²
Where a = side length
Solid A = 17ft
For solid A, surface area = 6 × (17 ft)²
= 1734 ft²
For Solid B
the conversion factor 3.28ft/ 1 m
Solid B = 5m
Hence, converting 5m to ft
= 5m × 3.28ft
= 16.4 ft
Therefore, the surface area of solid B = 6 × (16.4 ft)²
= 1613.76 ft²
Therefore, from the above calculation, cube that has the larger surface area is Solid A
Mr. James will solve the equation 150x = 2200 for x in one step. Which proportion is the MOST appropriate step for Mr. James to use?
Answer:
14.67
Step-by-step explanation:
Mr. James will solve the equation 150x = 2200 for x in one step. Which proportion is the MOST appropriate step for Mr. James to use?
We have the Equation
150x = 2200
Divide both sides by 150
150x/150 = 2200/150
x = 14.666666667
Approximately x= 14.67
Answer:
divide each side by 150
Step-by-step explanation:
The lengths of three sides of a rectangular rug are 25 inches, 50 inches, and 25 inches. What is the
length of the fourth side of the rug?
Answer:
50
Step-by-step explanation:
a rectangle has 2 of the same side lengths and another 2 of the same side lengths. We know that there is a 25 and 25, so there must be another 50 to that 50.
Look at this set of ordered pairs:
(18, 17)
(12, 11)
(0,8)
(6, 7)
1)) Is this relation a function?
yes
no
Answer:
if each input value leads to one outcome value its a function. this is a function
Use the following polygon to find "x":
|(2x + 20) (3x – 10)
(2x)
(2x - 10)
Answer:
[tex]2x + 20 + 2x + 3x - 10 + 2x - 10 = 360[/tex]
[tex]9x = 360[/tex]
[tex]x = 40[/tex]
how to determent an angle on a triangle
Answer:
Subtract 2 angles from 180
Step-by-step explanation:
then use the 2 angles and add your answer so it matched this formula: a + b = 3
If a place you like is renting for $800, and you had one other renter with whom you split the rent expense, how much does your GROSS INCOME need to be?
a.
$800
b.
$700
c.
$600
d.
$1,200
e.
$400
Answer:
How much should I spend on rent and utilities?
We calculate your monthly rent at 25% of your monthly net income (after monthly debt). This allows you to have enough cash left for other expenses and savings. Utilities are in general 2.5% of your monthly net income, and so in this case, you should expect to spend $0 or more per month on utilities.
Step-by-step explanation:
Answer:
the correct answer is e.$400
A person invested $3,600 in an account growing at a rate allowing the money to
double every 13 years. How long, to the nearest tenth of a year would it take for the
value of the account to reach $11, 300?
Answer:
20.8 years
Step-by-step explanation:
I got 13 years for a single (7,200), then I got the amount rounded to the nearest tenth and got the amount of years out of 13. Then, I added that into 13 to get 20.8!
What is the distance between tow points (1,5)(-8,4)
Answer:
[tex]\displaystyle d = \sqrt{82}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Algebra II
Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Identify
Point (1, 5)
Point (-8, 4)
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d
Substitute in points [Distance Formula]: [tex]\displaystyle d = \sqrt{(-8-1)^2+(4-5)^2}[/tex][√Radical] (Parenthesis) Subtract: [tex]\displaystyle d = \sqrt{(-9)^2+(-1)^2}[/tex][√Radical] Evaluate exponents: [tex]\displaystyle d = \sqrt{81+1}[/tex][√Radical] Add: [tex]\displaystyle d = \sqrt{82}[/tex]