Find all the zeros and their multiplicities for the function. d(x)=x^3+3x^2-4x-12
Step-by-step explanation:
1) x³+3x²-4x-12=x²(x+3)-4(x+3)=(x²-4)(x+3)=(x-2)(x+2)(x+3).
2) zeros of the given functions are: -3; -2; 2.
Simplify completely''''
Answer:
[tex]\displaystyle \frac{2(x + 3)}{5x - 2}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra I
Terms/CoefficientsFactoringStep-by-step explanation:
Step 1: Define
[tex]\displaystyle \frac{2x^2 + 16x + 30}{5x^2 + 13x - 6}[/tex]
Step 2: Simplify
[Fraction] Factor numerator: [tex]\displaystyle \frac{2(x + 3)(x + 5)}{5x^2 + 13x - 6}[/tex][Fraction] Factor denominator: [tex]\displaystyle \frac{2(x + 3)(x + 5)}{(x + 3)(5x - 2)}[/tex][Fraction] Divide: [tex]\displaystyle \frac{2(x + 3)}{5x - 2}[/tex]write 7% as a Vulgar fraction
Answer:
7/100
Step-by-step explanation:
This is literally what the percent sign means: "per hundred".
huilan is 5 years older than Thomas. The sum of their ages is 103. What is thomas's age
Answer:
49 years old
Step-by-step explanation:
x + x + 5 = 103
2x + 5 = 103
2x = 98
x = 49
Answer:
Step-by-step explanation:
Thomas is 49 huilan is 54
58 + 18 =
78-58=
335+415
Answer:
78
20
750
Step-by-step explanation:
Make a conjecture. What properties do you think stay the same after a translation? Check all that Apply.
Angle measures
Length
Orientation
Shape
Size
Answer: ALL OF THE ABOVE
Step-by-step explanation:
a translation doesn't change any of the above, they all remain the same. it's a trick question :P
ALGEBRA 1 PLS HELP ASAP
I need help FAST!!!!
Answer:
Step-by-step explanation:
okay, so here are a few methods you can use.
___
1) +
x + 7 = 10 so because this is addition we use the reverse, subtraction. So
x - 7 = 10 - 7 and that equals to 3.
2) -
x - 2 = 10 so because this is subtraction we do the reverse, addition.
x + 2 = 10 + 2 and that equals to 12.
3) x
x times 3 = 21 because this is multiplying we divide.
x/3 = 21/3 and that would be 7.
4) /
x/2 = 10 same as above, reverse is multiplying.
x times 2 = 10 times 2 and thats 20.
GL!
Which of the following graphs shows a pair of lines that represents the equations with the solution (4, −1)? (1 point)
pictures down below
Answer: i think the last one is the correct answer
hope this was correct
Step-by-step explanation:
Why is California at higher risk for earthquakes than North Dakota
( Also i know this isnt math but people answer faster when its in math )
Answer:
Step-by-step explanation:
Because calfornia is right next to Ocean
The diagonal of a square has length 14 find the length of a side
Answer:
14
Step-by-step explanation:
because all diagonals are of the same lenght
Is 18.52 irrational or rational
pls help due in one min
Daniel hiked
4
5
8
miles on Saturday and
4
1
2
miles on Sunday. How many miles did he hike in all?
A.
8
3
5
miles
B.
8
3
4
miles
C.
9
1
8
miles
D.
9
1
2
miles
Answer:
the answer isnt on there it would be 870 miles
Step-by-step explanation:
Answer:
c.
Step-by-step explanation:
the square root of a number increased by 9 is 27 find the number
Answer:
4.24264
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
I don't know how to explain. •-• Sorry!
The 10 members of the Photography Club want to raise $500, so they will hold a raffle with donated prizes. Jesse proposes that to reach their goal, each member should sell 50 raffle tickets. Alexis proposes that each member should raise $50.
Whose plan would you recommend? Explain.
To raise the amount of $500 each member has to raise $50.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the 10 members of the Photography Club want to raise $500, so they will hold a raffle with donated prizes. Jesse proposes that to reach their goal, each member should sell 50 raffle tickets. Alexis proposes that each member should raise $50.
The amount for each person will be,
Amount = 500/10
Amount = $50
Therefore, to raise the amount of $500 each member has to raise $50.
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In the first year of a 10,000 investment the interest rate was 6%. All earned interest remained invested for the second year, and the interest rate increased to 7%. What was the percent increase of the entire investment after two years?
Answer:
13.4%
Step-by-step explanation:
First year:
$10,000*6% = $600
New balance = $10,600
Second Year:
$10,600*7% = $742
$10,600+ $742 = $11,342
Total Return:
Final Balance - Initial balance
$11,342 - $10,000 = $1,342
$10,000*x ÷ $1,342
x = $1,342/$10,000
x = 0.1342
0.134 = 13.4%
.4^3Grafting, the uniting of the stem of one plant with the stem or root of another, is widely used commercially to grow the stem of one variety that produces fine fruit on the root system of another variety. Suppose grafts are done one at a time. A graft fails with probability 0.4, independently of the others. Given there were no failed grafts in the first seven done, what is the probability that there will be at least one failed graft in the next three done
Answer:
0.784 = 78.4% probability that there will be at least one failed graft in the next three done
Step-by-step explanation:
To solve this question, we need to understand the binomial probability distribution and conditional probability.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: No failed grafts in the first seven
Event B: At least one fail in the next three.
Intersection of events A and B:
Since the probability of a graft failling is independent of other grafts, we have that:
[tex]P(A \cap B) = P(A)*P(B)[/tex]
So
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{P(A)*P(B)}{P(A)} = P(B)[/tex]
So we just have to find the probability of one fail in three trials.
Three trials means that [tex]n = 3[/tex].
The probability is
[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{3,0}.(0.4)^{0}.(0.6)^{3} = 0.216[/tex]
Then
[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.216 = 0.784[/tex]
0.784 = 78.4% probability that there will be at least one failed graft in the next three done
Areesh is trying to build a box fort. He has 8 feet of duct tape.
The instructions are to use 22.5 inches of the tape to secure the roof of the box fort. Then, the remaining
tape should be cut into 5-inch sections to be used on the walls of the box fort. Areesh will use all of the
duct tape as instructed.
Determine the number of 5-inch sections of tape Areesh can cut.
Answer:
The number of 5-inch cuts if duct tape remainding is 14.
Step-by-step explanation:
1. 96 - 22.5 = 73.5
2. 73.5/5 = 14.7
3. .7 isnt a full piece of tape, so he has 14 5inch tapes
John bought a video game that was 20% off. The game was originally $60. What was the sale price of the game?
Answer:
it was $48
Step-by-step explanation:
$60X0.2
=$48
You welcome
if Sin 3x= Cos (x-60), find the value of x
Answer:
x = 15
Step-by-step explanation:
Assuming 3x and x-60 are in degrees, you can use:
cos(a) = sin(a+90)
To rewrite the equation as:
sin(3x) = sin(x-60+90)
sin(3x) = sin(x+30)
3x = x+30
2x = 30
x = 15
But, solving 3x = x+30 which simplifies to x=15 is not the only solution to this equation, as you can see in below picture. Finding all solutions is a bit more work, but maybe that is not required in your case.
Thirty-seven is less than the difference of seven and ten times a number.
Answer:
37< 10x-7
Step-by-step explanation:
What number does x stand for in this equation?
-7x + 6= 27
A
21
B
2
C
-3
D
-7
Answer:
C. -3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityStep-by-step explanation:
Step 1: Define
-7x + 6 = 27
Step 2: Solve for x
[Subtraction Property of Equality] Subtract 6 on both sides: -7x = 21[Division Property of Equality] Divide -7 on both sides: x = -3what does m represent in the equation y = mx+b?
Answer:
In the equation y = mx + b for a straight line, the number m is called the slope of the line
Step-by-step explanation:
I’ve been trying to figure out this question but I am not able to please help
Answer:
its C
Step-by-step explanation:
ik
Answer:
D
Step-by-step explanation:
Since the total degrees of a circle is 360 and half of a circle is 180, 1/4 of a circle is 90 or less, D is the answer :)
I need help on how to fill a deposit slip, please someone help with details and dont abuse for points.. I want to learn how rather than give the answer.
The Rileys are buying a home that costs $250,000. They are paying 3% in closing costs and 12% for a down payment. Complete the statement. The Rileys will pay a total of in costs for the closing costs and down payment on their mortgage.
Answer:
37,500 and non recurring
Step-by-step explanation:
The Riley's will pay a total of $7,500 in costs for the closing costs and $30,000 down payment on their mortgage.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Given that, Rileys are buying a home that costs $250,000.
12% for a down payment
So, down payment is
12% of 250,000
= 12/100 ×250,000
= 12×2500
= $30,000
They are paying 3% in closing costs
3% of 250,000
= 3/100×250,000
= $7,500
Therefore, the Riley's will pay a total of $7,500 in costs for the closing costs and $30,000 down payment on their mortgage.
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Nathan buys 8 bottles of iced tea at the grocery store. He has coupons for $0.35 off the regular price of each bottle. After using the coupons, the total cost of the drinks is $7.20.
Which equation can be used to find the regular price, p, of each bottle of iced tea?
Answer:
$1.25
Step-by-step explanation:
0.35 x 8 = 2.80
7.20 + 2.80 = 10
10 divided by 8 = 1.25
Thank you :)
The equation that can be used to determine the regular price of iced tea is p = 1/8($7.20 - $2.80).
Description of couponsCoupons reduce the price of an item. An item becomes cheaper when coupons are used. Thus, Nathan would buy the iced teas at a cheaper price as a result of the coupons.
Equation that represents the regular price of the iced tea.Discounted price = regular price - discount
$7.20 = p - ($0.35 x8)
$7.20 = p - $2.80
p = $7.20 - $2.80
Price of each bottle = p = 1/8( $7.20 - $2.80)
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a line that separates the plane into two regions
Answer:
Two-Half Planes. Or, You can Call it a Boundary line.
Step-by-step explanation:
Answer:
half-planes or boundary region
Step-by-step explanation:
What are the next three terms in the sequence 4,8,12,16?
Answer:
20,24,28
Step-by-step explanation:
It is increasing by 4 each time
Mark me brainliest please :)
Answer:
20, 24, 28
Step-by-step explanation:
yeah
Is anyone smart enough to answer this correctly?
Answer:
C. 55 square centimetre
Step-by-step explanation:
Area of the triangle on the top= 1/2 * 2 * 3 cm^2
= 3 cm^2
Area of the rectangle in between= 8 * 2 cm^2
= 16 cm^2
Area of the parallelogram at the bottom
= 12 * 3 cm^2
= 36 cm^2
Therefore, Area of the figure
= (3+16+36) cm^3
= 55cm^2
Hope you got the answer ☺️