The equation [tex]x^3-x^2+ax+b=0[/tex] has three integer solutions.
Two of these solutions are [tex]x=1[/tex] and [tex]x=2[/tex].
Work out the third solution to the equation.
Answer:
x = - 2
Step-by-step explanation:
x³-x²+ax+b = (x-1)(x-2)(x+c) = x³ + (c-3)x² + (2-3c)x +2c
c-3 = -1 C = 2
a = 2 - 3c = 2 - 3*2 = - 4
b = 2c = 4
third solution: x+2=0 x=-2
-6x - y =23
y = 4x + 7
Answer:
x = -28/39, y = 7/39
Step-by-step explanation:
Graph both and find the corresponding points.
Jan has three dimes In her pocket and nothing else. she takes one coin out of her pocket. what is the probability that the coin Jan takes out is a dime ?
The probability that the coin Jan takes out is a dime would be 100% or 3/3
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
P(E) = Number of favorable outcomes / total number of outcomes
We are given that Jan has three dimes In her pocket and nothing else. she takes one coin out of her pocket.
Picking with replacement, twice from 3 dimes.
Probability of picking a dime each time = 3/3
Which is 100 percent because there is nothing els.
Learn more about probability here;
https://brainly.com/question/9326835
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22
Clara has five cards.
There is a number on each card.
Two of the numbers are hidden.
(2 points)
The mode of the five numbers is 3. The mean of the five numbers is 5
Work out the two numbers that are hidden
3
?
8
5
?
Answer:
13 and 7
Step-by-step explanation:
x^2 + 4x – 7 = 0
Pls n thx
Answer:
x = - 2 ± [tex]\sqrt{11}[/tex]
Step-by-step explanation:
To solve the equation using the method of completing the square.
Given
x² + 4x - 7 = 0 ( add 7 to both sides )
x² + 4x = 7
add ( half the coefficient of the x- term )² to both sides
x² + 2(2) x + 4 = 7 + 4
(x + 2)² = 11 ( take the square root of both sides )
x + 2 = ± [tex]\sqrt{11}[/tex] ( subtract 2 from both sides )
x = - 2 ± [tex]\sqrt{11}[/tex] ← exact solution
Find the quotient of the coefficient 3g+2
The coefficient is 3 because it kinda like DeFiNeS the variable.
There are 7 purple marbles, 12 orange marbles, 3 pink marbles, and 6 gray pens in a bag. You randomly choose one. Find each probability as a FRACTION in SIMPLEST FORM.
Mario is a landscape architect who needs to buy 17 shrubs for a foundation planting. Azalea plants cost $20 each, rhododendrons cost $25 each. If he spent exactly $400, how many of each shrub did he buy?
Answer:
he bought 45 shrubs. Let me know if this worked for you.
Step-by-step explanation:
Help answer fast if you ion mind ty
Here is an inequality: -3x >18.
a. List 3 values for x that would make this
inequality true.
b. How are the solutions to the inequality -3x
>18 different from the solutions to -3x >18?
Explain your reasoning
Answer:
a. -7, -8, -10
b. In -3x≥18, the solution set includes -6 (which gives -18) because -18 is equal to -18, which is allowed. In -3x>18, -6 is not allowed since -18 cannot equal -18.
Answer:
OMG UVA BUDDY!!
Step-by-step explanation:
find 18.2% of £25,000
Answer:
4550 £
Step-by-step explanation:
help eeeeeeeeeeeeeeeeeeeee
Answer:
52
Step-by-step explanation:
The answer is 52......
A. 3/10=30%
B. 2/10=20%
C.7/10=70%
D.5/10 50%
Answer:
I can barely see the bottom but I can make out what it is. LEt's also get this clear, I'm only helping because of the profile picture XD
Step-by-step explanation:
20 male
20 female
The answer is "D", 50%.
Answer:
D
Step-by-step explanation:
fifty percent jts head and fifty percent its tail
1) Calculate the quotient 2166 / 38
Answer:
57
Step-by-step explanation:
2166/38=57
Answer: 57
Step-by-step explanation:2188 divided by 38 =57
HELPPPPP ILL MARK YOU BRAINLIST
Answer:
857
Step-by-step explanation:
times all of the nines together. then times the 4's and the 8 together. Then add the answer u got by timesing the 9's together. and the 4's and the 8 together.
Answer:
9 to the power of 4 is 36. Multiply to get the exact answer.
9³x2= 9 to the third power ° because if we have no callouts then that will be the ↑↓ estimate of the exponets.
Step-by-step explanation:
The answer is simple 36+36 (9³x2) x9 to the 8th. multiply and put in green box.
the total number of seagulls standing on the pier and the 51 gulls in the air
Which part is shaded?
Answer:
B) 1/3
Step-by-step explanation:
2/6 is shaded which is equivilent divide the demoninator and numerator to get 1/3
The angle measurements in the diagram are represented by the following expressions.
\qquad \blueD{\angle A=6x + 5^\circ}∠A=6x+5
∘
start color #11accd, angle, A, equals, 6, x, plus, 5, degrees, end color #11accd \qquad\green{\angle B=4x + 45^\circ}∠B=4x+45
∘
start color #28ae7b, angle, B, equals, 4, x, plus, 45, degrees, end color #28ae7b
Answer:
x = 20, ∠ A = 125°
Step-by-step explanation:
∠ A and ∠ B are Alternate interior angles and are congruent, so
∠ A = ∠B , substitute values
6x + 5 = 4x + 45 ( subtract 4x from both sides )
2x + 5 = 45 ( subtract 5 from both sides )
2x = 40 ( divide both sides by 2 )
x = 20
Thus
∠ A = 6x + 5 = 6(20) + 5 = 120 + 5 = 125°
Answer:
∠A = 125 degrees.
Step-by-step explanation:
Look at attachment:
Hope this helps! :)
If MP=6x-5,QR=3x+1, and RN=6, what is QN
Answer:
12
Step-by-step explanation:
12
What is the product of 5 and 8 square root 200 in the simplest radical form
[tex]\sqrt{2}[/tex]Answer:
400[tex]\sqrt{2}[/tex]
Step-by-step explanation:
5 * 8[tex]\sqrt{200}[/tex]
[tex]\sqrt{200}[/tex] = [tex]\sqrt{100 * 2}[/tex] = [tex]\sqrt{100}[/tex] * [tex]\sqrt{2}[/tex] = 10[tex]\sqrt{2}[/tex]
5*8(10[tex]\sqrt{2}[/tex]) = 400[tex]\sqrt{2}[/tex]
5+(-3) show it in a number line
Answer:
i got 2 hope thats helps
Step-by-step explanation:
Answer:
Step-by-step explanation:
Use the slope formula to find the slope between the given two points. (2, 1) and (8, 9)
Answer:
if the two points are known. 4/3 or 1.333
What is the length and midpoint segment of AD?
Answer:
length 7 and midpoint 3.5
Step-by-step explanation:
length: -7-0=-7 but length is never a negative so its 7
midpoint: 7/2= 3.5
What is the measurement of this angle?
__°
Answer: It is a 40 degree angle
a) Write down the smallest positive integer, k, such that 180k is a perfect square.
180
b) Write down the smallest positive integer, k, such that
k is a perfect square.
plz help w both questions
Which of the following rational functions is graphed below?
Answer:
d
Step-by-step explanation:
trust me
Translate the sentence into an inequality.
A number b increased by 9 is less than -22.
Answer: (b + 9) < -22
Simplify the expression.
(5y) 4
The expression is ?
Answer:
20y
Step-by-step explanation:
5y(4)
=20y
There are 10 blue marbles, 4 red marbles and 8 yellow marbles in a bag. John draws three marbles without replacement. What is the probability the first two marbles are yellow and the third is red?
Answer:
3/12
Step-by-step explanation:
There are 22 marbles in all so the probability would be
3/22 but we are looking at specific colors so add the red and yellow marbles together and you should get 3/12
You pay $22 to rent 6 video games. The store charges $4 for new games and $2 for old games. How many new games did you rent?
Answer:
You rented 4 new games and 1 old game
Step-by-step explanation:
- we can divide $22 by (4×5) and (2×1)
4×5 = 20
2×1 = 2
20+2 = 22