Domain is the x values.
The x values in the given function are: 0,3,5,8
The answer would be B. {0,3,5,8}
What is the value of the expression below?
Answer:
-19
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define Expression
3² + (9 - 16)(4)
Step 2: Evaluate
Exponents: 9 + (9 - 16)(4)(Parenthesis) Subtract: 9 + (-7)(4)Multiply: 9 - 28Subtract: -19Answer:
Step-by-step explanation:
BODMAS=bracket
O=of
D=division
M=multiplication
A=addition
S=subtraction
3*3=9
9+(9-16)(4)
9+(7)(4)
9-28
-19
Given that x² -x -2 is a factor of x³ +3 x² +ax +b, calculate the values of a and b and hence find the remaining factor.
Answer:
[tex]a = -6, b = - 8[/tex]
Remaining factor = [tex]x+4[/tex]
Step-by-step explanation:
Given that:
Two polynomials:
[tex]x^{2} -x-2[/tex] and [tex]x^3 +3 x^2 +ax +b[/tex]
[tex]x^{2} -x-2[/tex] is a factor of [tex]x^3 +3 x^2 +ax +b[/tex].
To find:
The values of [tex]a[/tex] and [tex]b[/tex] from the cubic equation and the remaining factor.
Solution:
Let us first of all, factorize [tex]x^{2} -x-2[/tex].
[tex]x^{2} -2x+x-2=0\\\Rightarrow x(x-2)+1(x-2)=0\\\Rightarrow (x+1)(x-2)=0\\\Rightarrow x = -1, 2[/tex]
There are two factors of the given quadratic equation.
These two factors must also be factors of the cubic equation as well.
Putting [tex]x = 2[/tex]:
[tex]2^3 +3 \times 2^2 +a\times 2 +b =0\\\Rightarrow 2a+b=-20 ..... (1)[/tex]
Putting [tex]x = -1[/tex]:
[tex](-1)^3 +3 \times (-1)^2 +a\times (-1) +b =0\\\Rightarrow -a+b=-2 ..... (2)[/tex]
Subtracting (2) from (1):
[tex]3a = -18\\\Rightarrow a = -6[/tex]
From equation (1):
[tex]2\times (-6) + b=-20\\\Rightarrow b = -8[/tex]
Putting the values of [tex]a[/tex] and [tex]b[/tex] in the cubic equation, we get:
[tex]x^3 +3 x^2 -6x -8[/tex]
Dividing the cubic equation with quadratic, we get:
[tex]\dfrac{x^3 +3 x^2 -6x -8}{x^{2} -x-2} = x+4[/tex]
Write the expanded form of the expression
r(−3−5t)
An athlete runs 8 miles in 50 minutes on a treadmill at this rate how long will it take the athlete to run 9 miles
Answer:
56.25 minutes
Step-by-step explanation:
1 mile is 6.25 minutes
9 miles is _____?
6.25 minutes x 9 miles =
56.25 minutes
Find Unit Rate to help solve
Hope this helps :)
1. Sherrys age is nine less than six times Fred's age. Write an equation and find Sherrys age if Fred is ten years old.
2. A bicycle was originally priced at $102 and is on sale for 30% off. What is the discounted price?
Answer:
1. x= 10x6-9 Sherry is 51 apparently
2. $71.40
Step-by-step explanation:
Please help me with this homework
Answer:
your x's will be -2, -1 , 0 , 1, 2
and your y's will be -5, -2, 1, 4, 7
13. A quadratic function passes through the points (0,5), (2,3), and (3,5). Which
function represents the same relationship?
A h(I) = x2 + 3x + 5
B h(x) = x2 – 3x + 5
C h(c) = -3x2++5
D h(c) = x2
= 2 + 5x - 3
Answer:
B
Step-by-step explanation:
Estimate by rounding the divisor to the nearest tens place and the dividend to the nearest
compatible number. Then find the quotient.
Enter the remainder, if any, as a fraction in simplest form.
59 ) 5,613
The estimate is?
The quotient is?
Answer:
lil mosey
Step-by-step explanation:
Choose the graph below that correctly represents the equation 3x + 9y = −18. (5 points)
the line through the points negative 6 comma 0 and 0 comma 2
the line through the points negative 6 comma 0 and 0 comma negative 2
the line through the points negative 2 comma 0 and 0 comma 6
the line through the points negative 2 comma 0 and 0 comma negative 6
Answer:
the line through the points negative 6 comma 0 and 0 comma negative 2
Step-by-step explanation:
Rewrite the equation to something you are familiar with such as the slope intercept form; y = mx + b. This means you need to solve for y.
3x + 9y = -18 --- divide everything by 3.
x + 3y = -6
3y = -6 - x
y = -2 - 1/3x
your slope is -1/3 and your y intercept is - 2.
remember, y-intercept is when x = 0. therefore, when x = 0, y = -2.
write as an ordered pair (0, -2). the only option that has (0, -2) is the second one.
Therefore, the line through the points negative 6 comma 0 and 0 comma negative 2.
Who can answer my question in square LMNO find the length of LM
Answer:
10 units
Step-by-step explanation:
LMNO is a square.
All sides of square are equal
MN = LM
3x + 1 = x + 7
3x - x = 7 - 1
2x = 6
x = 6/2
x = 3
LM = x + 7 = 3 + 7 = 10
LM = 10 units
Find the unit rate
a. 5 movie tickets for $25.00
b. mowed 5 yards for $35.00
c. 6 calculators cost $240.00
d. 8 dollars for 2 cans of tuna
Answer:
A. $5
B. $7
C. $40
D. $4
Step-by-step explanation:
To find the unit rate, you need to divide the cost by the amount.
A. $25/5 = $5 for a movie ticket
B. $35/5 = $7 for one yard
C. $240/6 = $40 for a calculator
D. $8/2 = $4 for a can of tuna
What is 5[cos(Pi/4) + I sin (pi/4)] raised to the 3rd power?
Answer: The answer is C on edge
Step-by-step explanation:
(29-(-7):
= =a
Look at picture
Answer:
Four
Step-by-step explanation:
29 plus 7 = 36 divided by 4= 9
HELP!! (20-30 points) and brainlist
Answer:
82.8
Step-by-step explanation:
Formula
multiply the length value by 36
HELP ME 50 POINTS RN.
Answer:
the last one. hope I help u
Answer:
S<30
need explain that?
I need help answering that I’m lost and it’s a 3 step problem
A jar contains 42 red marbles numbered 1 to 42 and 36 blue marbles numbered 1 to 36. A marble is drawn at random from the jar. Find the probability of the given event. Please enter reduced fractions. (a) The marble is red. P(red)= Correct (b) The marble is odd-numbered. P(odd)= Correct (c) The marble is red or odd-numbered. P(red or odd) = Incorrect (d) The marble is blue or even-numbered. P(blue or even) =
Answer: See explanation
Step-by-step explanation:
Number of red marbles = 42
Number of blue marbles = 36
Total number of marbles = 42 + 36 = 78
There are 21 odd numbers between 1 - 42.
There are 18 odd numbers between 1 - 36.
(a) Probability that the marble is red will be:
P(red)= 42 / 78 = 7 / 13
(b) Probability that the marble is odd-numbered will be:
= 39 / 78 = 1/2
(c) Probability that the marble is red or odd-numbered will be:
P(red or odd) = P(red) + p(odd) - P(odd and red)
= (42/78) + (39/78) - (21/78)
= 60/78
= 10/13
(d) Probability that the marble is blue or even-numbered.
= P(blue) + P(even) - P(blue and even)
= 36/78 + 39/78 - 18/78
= 57/78
= 19/26
a contracter charges 1,200 for 1,100 square feet installed? It costs$ to have 1,100 feet
Answer:
$1,200
Step-by-step explanation:
Help please true or false?
What is 2x2 plus 3 times y and it equals b?
Answer: The answer is 7-b=-y
Step-by-step explanation: You subtract b from one side to the other, and then do the same with y
write-2.16 as a fraction asap!!!!1m
Answer:
-2 wholes 4/25
Step-by-step explanation:
I used calculator. btw its -2 4/25
hope this helps! mark as brainliest!
Answer:
-2 4/25
Step-by-step explanation:
Does anyone know this? Please and ty! This is worth 15 points but please don’t take advantage :(
Answer:
A
Step-by-step explanation:
If you were to dilate a point by a scale factor of 2, then if you have the point (-4,0), both the x value and the y value would be multiplied by 2, giving a coordinate of (-8,0). If you do this to the other point, you get (0,4).
Now graph it out, and you get a parallel line that is not right on top, eliminating answer B. It's not C because it is parallel, not intersecting. And it's not D because they are related, they're parallel.
Hope this helps!
what is 7/10 divided by 6 to the second power?
Answer:0.01944444444 if it is like that then there is going to be a line above 4 for repeating.
Step-by-step explanation:
please let me know if this helps I had questions like this but I don't know if that what they are asking for you to do too! have a great day and I dont mean to be greedy but may i please have BRAINLIEST?
Please help and give details :)
7x+4y-28=0 is the answer
Simplify the Expression(20 points)-
-m - 7m
Answer:
-8m
Step-by-step explanation:
Combine like terms
−
−
7
{\color{#c92786}{-m}}{\color{#c92786}{-7m}}
−m−7m
−
8
{\color{#c92786}{-8m}}
−8m
write in slope-intercept form 3x-9=7y+8
Answer:
y = 3 /7 x − 17 /7
Step-by-step explanation:
A feather fell from a bird's nest in a tree from a height of 25 feet. The leaf fell at a speed of 3 feet per second. Choose all the equations below that correctly describes the relationship between t, the time in seconds, and h, the feathers height in feet?
A) h=25-3t
B) h=3t-25
C) h=-3t-25
D) h+3t=25
Answer:
A and C
Step-by-step explanation:
Which ordered pair does NOT represent a point located in IV Quadrant ?
A (0.001, -0.001)
B (0, -5)
C (0.5, -8.75)
D (9, 999, -9, 999)
Answer:
B
Step-by-step explanation:
If a point is on the line of origin it doesn't count as being in any quadrant.
z=32+41.9i
What are the real and imaginary parts of z?
--------------------------------------------------------------
A. Re(z) = 32 and Im(z) = 41.9
B. Re(z) = 32 and Im(z) = 41.9i
C. Re(z) = 41.9i and Im(z) = 32
D. Re(z) = 41.9 and Im(z) = 32
Solve the equation.
–2x – 18 = 6
A. -12
B. -3
C. -2
D. 6
Answer:
-12
Step-by-step explanation:
Step 1: Add 18 to both sides.
−2x−18+18=6+18
−2x=24
Step 2: Divide both sides by -2.
−2x
−2
=
24
−2
x=-12
Answer:
-2x -18=6
+18. +18
-2x=24
÷-2. ÷-2
×= -12