Answer:
x=3, multiplicity of 2
x=-5, multiplicity of 1
Step-by-step explanation:
f(x) = (x - 3)(x - 3)(x + 5)
Rewriting
f(x) = (x - 3)^2(x + 5)
Setting equal to zero
0 = (x - 3)^2(x + 5)
Using the zero product property
(x-3)^2 = 0 x+5 = 0
x-3 = 0 x= -5
x=3 x-5
Since x-3 was squared, the multiplicity is 2
Answer:
x=3, multiplicity of 2
x=-5, multiplicity of 1
Step-by-step explanation
Which phrase describes the linear relationship between the values of x and y shown in the table?
x l y
-3 l 9
0 l 0
3 l -9
A. y is 3 times x
B. x is 6 more than y
C. y is 12 more than x
D. y is -3 times x
Answer:
The answer is D. Y is -3 times x
The phrase which describes the linear relationship between the values of x and y is y is -3 times x.
What is linear relationship between two variables?
A linear relationship is any relationship between two variables that creates a line when graphed in the x y -plane.
According to the given question.
We have a linear relationship between x and y.
From the first we can see that
When,
x = -3 and y = 9
⇒ y = -3x = -3 × (-3) = 9
when,
x = 0, and y = 0
⇒ y = -3x = -3 × 0 = 0
when,
x = 3, and y = -9
⇒ y = -3x = -3 × 3 = -9
Hence, this shows that y is -3 times x.
Thus, option D is correct.
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Help!! Please photo art attached below
Answer:
C
Step-by-step explanation:
180 degrees + 30 =210 degrees
210 degrees equals 7π/6
Kim just turned 10 years old her mother is four times older than Kim how old is Kims mother
Answer:
40 years old
Step-by-step explanation:
What are the ratio of 1:6 and 3:8, 2:14and 3:42
The ratio of 1:6 is 1/6
The ratio of 3:8 is 3/8
The ratio of 2:14 is 1/7
The ratio of 3:42 is 1/14
Please mark brainliest if that helped!
802.4 divided 1.7
Thankkkk u
The answer to this equation is 472.
Answer:
472
Step-by-step explanation:
First we make both numbers into wholes by moving the decimal point one place behind.Then divide normally.
8024 ÷ 17 = 472
I hope this helps :)
Find the sum of the geometric sequence.
1, 1/2, 1/4, 1/8, 1/16.
Answer:
2
Step-by-step explanation:
a1= 1
r= a2/a1
r= (1/2)/1
r=0.5
s= a1/1-r
s= 1/1-0.5
s=2
What is the "least common denominator" of the following two fractions:
1/6 and 1/2
Answer:
it is 6
Step-by-step explanation:
2 and 6 are the denominators and the least common denominator is the number in which 2 & 6 can go in without leaving a remender and 6 is that number
Answer:
The LCD of the fractions 1/6 and 1/2 is 6
Step-by-step explanation:
The LCD of 2 or more fractions is the least common multiple of the denominators.
The given fractions are 1/2 and 1/6. The denominators are 2 and 6
List the multiples of each denominator:
Multiples of 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, …
Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, ..
The least common multiple that the two share is 6.
So the LCD of 1/2 and 1/6 is 6.
A 3-gallon jug of water costs $15.00. What is the price per quart?
Answer:
1.25 dollars per quart
Step-by-step explanation:
There are 4 quarts per gallon
3 gallons * 4 quarts/ gallon = 12 quarts
15 dollars/ 12 quarts
1.25 dollars per quart
the area of a rectangular park is 7/8 sqaure mile. the length of the park is 3/4 mile. what is the width of the park?
Answer:
7/6
Step-by-step explanation:
since the formula of area is length times width,you have to divide the area by the length to find the width
area=length×width
the width will be
width=area÷length
=7/8÷3/4
7/8×4/3
7/2×1/3
7/6
that's the width you can prove it by multiplying the length times the width to see if you will get 7/8..
I hope this helps
What is the reciprocal of 0.025 (not -0.025)
Answer:
1000/25 or 40
Step-by-step explanation:
~ A reciprocal is the fraction's reverse
For example 2/3=3/2
.025 is also 25/1000
The reverse of 25/1000 is 1000/25
Simplified into 40 wholes
1000/25 is the reciprocal of 0.025
What is Fraction?A fraction represents a part of a whole.
Given,
Decimal value is 0.025
Zero point zero two five.
Firstly let us convert this to the fraction form.
When twenty five is divided by thousand we get 0.025
25/1000=0.025
So the fraction is 25/1000.
Now we need to find the reciprocal of fraction 25/1000.
Reciprocal means the numerator changes to denominator and denominator changes to numerator.
So 25/1000 reciprocal is 1000/25
Hence, 1000/25 is the reciprocal of 0.025
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Line A passes through the points (-2, 27) and (1, -9). Line B passes through the points (-1, 15)
and (3,-33).
Which statement is true?
Line A overlaps line B.
Line A does not intersect line B.
Line A intersects line B at exactly one point.
Answer:
Line A overlaps line B
Step-by-step explanation:
find gradient of both A and B and use it to find the equation of both lines
final answer will reveal that both lines are the same implying that one overlaps the other
Vertical plane R intersects horizontal plane P. Points D, and B are on the line of the intersecting planes. Point F is on the top half of plane R. Point G is on the bottom half of plane G. Point C is on the left half of plane P. Point E is on the right side of plane P. There is a line formed between points C and E. Point H to above and to the right of the planes. Point L is below and to the left of the planes.
The intersection of plane R and plane P is
.
Point
is not on plane P.
Line C E and Line D B intersect at point
.
Answer:
The intersection of plane R and plane P is line DB
Point H is not on plane P.
CE and DB intersect at point D
Explanation:
got it right on edge 2021 :)
Answer:
there right^
Step-by-step explanation:
edge 22
What are all the factors of 618?
Answer:
1, 2, 3, 6, 103, 206, 309, 618
..............................
Answer:
[tex]x=17[/tex]
Step-by-step explanation:
[tex](6x+10)(x+17)(4x-34)[/tex]
[tex]6x+10+x+17+4x-34=180[/tex]
Add:- [tex]6x+x+4x=11x[/tex]
and [tex]10+17-34=-7[/tex]
So, [tex]11x-7=180[/tex]
Add 7 to both sides:-
[tex]11x=187[/tex]
Divide both sides by 11:-
[tex]\frac{11x}{11}=\frac{187}{11}[/tex]
[tex]x=17[/tex]
OAmalOHopeO
What I got to do please
Answer:
4
Step-by-step explanation:
[tex]3 \div \frac{3}{4} \\ = \frac{3}{1} \div \frac{3}{4} \\ = \frac{3}{1} \times \frac{4}{3} \\ = \frac{12}{3} \\ = \frac{4}{1} \\ = 4[/tex]
Answer:
4
Step-by-step explanation:
3÷3/4
3*4/3
12/3
4
The area of a triangle is 24 square inches. What is the height of the triangle if the base length is 4 inches?
6 inches
8 inches
12 inches
20 inches
Answer:
[tex]\boxed {\boxed { \sf 12 \ inches}}[/tex]
Step-by-step explanation:
The area of a triangle can be calculated using the following formula.
[tex]a=\frac{1}{2} bh[/tex]
The area of the triangle is 24 square inches and the base is 4 inches long.
a= 24 in² b= 4 inSubstitute the values into the formula.
[tex]24 \ in^2 = \frac {1}{2} * 4 \ in * h[/tex]
Multiply on the right side of the equation.
[tex]24 \ in ^2 = ( \frac{1}{2} * 4 \ in ) * h[/tex]
[tex]24 \ in ^2 =2 \ in *h[/tex]
We are solving for the height of the triangle, so we must isolate the variable h. It is being multiplied by 2 inches. The inverse of multiplication is division, so we divide both sides by 2 inches.
[tex]\frac { 24 \ in ^2 }{2 \ in }= \frac{ 2 \ in *h}{ 2 \ in}[/tex]
[tex]\frac { 24 \ in ^2 }{2 \ in }= h[/tex]
[tex]12 \ in = h[/tex]
The height of the triangle is 12 inches.
Using the graph as your guide, complete the following statement.
The discriminant of the function is ___
A. positive
B. zero
C. negative
Alice, Bob, and Carol play a chess tournament. The first game is played between Alice and Bob. The player who sits out a given game plays next the winner of that game. The tournament ends when some player wins two successive games. Let a tournament history be the list of game winners, so for example ACBAA corresponds to the tournament where Alice won games 1, 4, and 5, Caroll won game 2, and Bob won game 3.
Required:
a. Provide a tree-based sequential description of a sample space where the outcomes are the possible tournament histories.
b. We are told that every possible tournament history that consists of k games has probability 1/2k, and that a tournament history consisting of an infinite number of games has zero prob- ability. Demonstrate that this assignment of probabilities defines a legitimate probability law.
c. Assuming the probability law from part (b) to be correct, find the probability that the tournament lasts no more than 5 games, and the probability for each of Alice, Bob, and Caroll winning the tournament.
Answer:
I don't know what you think about it is not going to be a great day of school and I don't know what you think about it is not going to be a great day of school
help fast pleasee
find the unit rate for Dion and Emily who read faster?
Dion: 36 pages in 3 days
emily: 45 pages in 5 days
36 pages
__________= ? pages per day.
3 days
45 pages
_________=? pages per day.
5 days
deon read _____ pages per day than emily.
Step-by-step explanation:
36 pages in 3 days, 36/3=12 pages per day.
45 pages in 5 days, 45/5=9 pages per day.
Difference is 3 pages per day
Answer:
Deon read 3 more pages per day than Emily.
find the product of 3 and 1/2 and 1.6
Answer:
5.6
Step-by-step explanation:
3.5 x 1.6
It all depends on where the parentheses are in the question.
(3) · (1/2) · (1.6) = 2.4
or
(3-1/2) · (1.6) = 5.6
If M ABD = 65 and DBC=60 then m ABC=
Answer:
∠ ABC = 125°
Step-by-step explanation:
∠ ABC = ∠ ABD + ∠DBC that is
∠ ABC = 65° + 60° = 125°
Instructions: Determine whether the following polygons are
similar. If yes, type in the similarity statement and scale factor. If
no, type 'None' in the blanks.
Answer:
No they aren't similar different measurements but same angle so they can't be said to be similar
Finding Perimeter Practice Pages continued Name: 3 A rectangular garden has a width of 90 feet. The perimeter is 500 feet. What is the length of the garden? 500 = (2x) + .......... .........) 500 = 2€ + = 20 = 2 = = € The length of the garden is ................. feet. inchor lona Tell w
Step-by-step explanation:
After putting the values:-
what is 98×63-32×69=
Answer: plz marl brainilist
3966
Step-by-step explanation:
(98 × 63 - 32 × 69
98 * 63) - (32 * 69)
Three times the sum of a number and eight is four more than the number. find the number
Answer:
3(x+8)=4+x
distribute the 3 by multiplying it with the x and the 8
3x+24=4+x
subtract x from both sides
2x+24=4
subtract 24 from both sides
2x=4-24
2x=-20
divide each side by 2
leaving the variable isolated
x=-10
Step-by-step explanation:
It is important to balance each side by doing the same to both sides such as at the end divide both sides by 2.
The unknown number will be equal to 10.
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 three times, the sum of a number and eight is four more than the number.
The equation will be written as,
3(x+8)=4+x
Distribute the 3 by multiplying it with the x and the 8,
3x+24=4+x
Subtract x from both sides,
2x+24=4
Subtract 24 from both sides,
2x=4-24
2x=-20
Divide each side by 2.
x=-10
Therefore, the unknown number will be equal to 10.
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For the function y=f(x), find f’(a)
Answer:
-1/4
Step-by-step explanation:
f(x) = 1/(x+1)
f(a) = 1/(a+1)
f'(a) = {(a+1)×d/da (1) - d/da (a+1) × 1}/(a+1)²
f'(a) = {(a+1)×0 - 1×1}/(a+1)²
f'(a) = (0-1)/(a²+2a+1)
f'(a) = -1/(1+2a+a²)
putting a = 1
f'(a) = -1/(1+2+1)
f'(a) = -1/4
Find the value of x. Round to the nearest tenth.
Answer:
1.6 ft
Step-by-step explanation:
If you use the Pythagorean Theorem to solve for x, you get:
[tex]x=\sqrt{2.1^2-1.4^2}[/tex]
[tex]x=\sqrt{2.45} = 1.56524758425[/tex]
Rounded to the nearest tenth, the answer is 1.6
Consider the line 9x + 8y = -8.
What is the slope of a line perpendicular to this line?
What is the slope of a line parallel to this line?
Answer:
Step-by-step explanation:
The slope of the line is -9/8. The slope of any parallel to the line is also -9/8.
Which of the following graphs is the inverse of f(x) = x2 + 4?
Answer:
Step-by-step explanation:
Is the rate of change of the function 5?
