Solve the following equation by factoring. Separate multiple answers with a comma x^3 - 10x = 3x^2
Answers
Given the equation:
\(x^3-10x=3x^2\)We will solve the equation by factoring as follows:
Make all terms on the left side of the equations:
\(x^3-3x^2-10x=0\)Take x as a common factor from all terms:
\(x(x^2-3x-10)=0\)Factor the equation:
\(x(x-5)(x+2)=0\)Solve:
\(\begin{gathered} x=0 \\ \\ (x-5)=0\rightarrow x=5 \\ \\ (x+2)=0\rightarrow x=-2 \end{gathered}\)so, the answer will be x = { -2, 0 , 5 }
Related Questions
Out of the 25 students in Mrs. Joy's class, 17 have a pet. What percent of the students in Mrs. Joy's class have a pet?
Answers
Answer:
68%
Step-by-step explanation:
17/25=0.68
If we turn 0.68 into a percent it would be 68%
-10 x 4 =
-21 x 5=
-20 x 9=
-199 x 1=
Answers
Answer:
•SEE ABOVE ATTACHMENT•HOPE IT HELPS!
MARK AS BRAINLIAST.
Answer:
-10 x 4 = -40
-21 x 5 = -105
-20 x 9 = -180
-199 X 1 = -199
3 1 point What was the scale when the Blac inches and 12.5 inches tall.
Answers
we know that
1 in represent 22 ft
so
Applying proportion
Find out how many feet , 6 inches represent
22/1=x/6
solve for x
x=22*6
x=132 feet
the answer is 132 feetJaydan uses 3/4 water and 1/5 lime juice and reese uses 2/3 water and 1/6 lime juice which one is weaker
Answers
Answer:
1/6 lime juice
Step-by-step explanation:
1/6 is less than 1/5,3/4,and 2/3
Re-write the quadratic function below in Standard Form
y = -(x – 3)2 +8
Answers
Answer:
y = -x² + 6x - 1
General Formulas and Concepts:
Algebra I
Standard Form: ax² + bx + c = 0Expanding by FOIL (First Inside Outside Last)Combining like termsStep-by-step explanation:
Step 1: Define equation
y = -(x - 3)² + 8
Step 2: Rewrite
Expand [FOIL]: y = -(x² - 6x + 9) + 8Distribute -1: y = -x² + 6x - 9 + 8Combine like terms: y = -x² + 6x - 1If you give respect, you get respect.
CONVERSE:
INVERSE:
CONTRAPOSITIVE:
Answers
Answer:
Conditional statement: p → q (if p, then q)
⇒ If you give respect, you get respect
Converse: q → p (if q, then p)
⇒ If you get respect, you give respect
Inverse: ~p → ~q (if not p, then not q)
⇒ If you don't give respect, you don't get respect
Contrapositive: ~q → ~p (if not q, then not p)
⇒ If you don't get respect, you don't give respect
Solve the triangle.
A= 108° C=27° c = 160
Answers
if angle A is 108 degrees, angle B is 27 degrees then angle C is 45 degrees.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
Given that angle A is 108 degrees
Angle B is 27 degrees
We need to find angle C
By angle sum property we know that the sum of three angles is 180 degrees
108+27+x=180
135+x=180
Subtract 135 from both sides
x=180-135
x=45 degrees
Hence, if angle A is 108 degrees, angle B is 27 degrees then angle C is 45 degrees.
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In a triangle ABC, Find the angle C when angle A= 108° ,B=27° .
PQ:QR is 5:2 and PR=42 find PQ and QR
Answers
We can draw a rough diagram to solve this problem:
Q is between P and R.
The total length, PR, is 42.
Now,
PR is broken down into 5 + 2 = 7 "parts"
So, each "part" is 42/7 = 6 units
PQ = 5 "parts" = 5 * 6 units = 30 units
QR = 2 "parts" = 2 * 6 units = 12 units
Thus,
PQ = 30QR = 12
Two lines are perpendicular. The slope of the first line is. What is the slope of the second line?
Answers
Answer:
Therefore, the slope of the original line is 1/2. A line perpendicular to another has a slope that is the negative reciprocal of the slope of the other line. The negative reciprocal of the original line is –2, and is thus the slope of its perpendicular line.
If 7 - 2x > 15, what is the solution for X?
Answers
Answer:
x<-4
Step-by-step explanation:
7 - 2x > 15
15+2x=7
x=-4
It has to be less than -4, so it can make the inequality true, you can plug in a number to the equations as well for example:
7-2(0)>15 Not True
7-2(-5)>15 True
What are the coordinates of the image of the point (-4,-5) after reflecting over the y-axis
Answers
So, the coordinates of the image of the point (-4,-5) after reflecting over the y-axis are:
x-coordinate: -4 (remains the same)
y-coordinate: 5 (becomes the opposite of the original y-coordinate, -5)
Therefore, the coordinates of the image are (-4, 5).
In a swimming competition, Peter swam 600m and Gabriel swam 2km .What is the ratio of Peter’s distance to Gabriel’s? Give your answer in its simplest form.
b. Express the ratio 20cm to 15m in the form 1: n
c. Express the ratio 60 cm to 20 m in the form 1 : n
Answers
Answer:
Yes, because Gabriel is the swimming. He was in 2nd or maybe 10th.
Answer:
Step-by-step explanation:
CALC
PLEASE HELP!!
A chemical substance has a decay rate of 8.8% per day. The rate of change of an
dN
amount N of the chemical after t days is given by = -0.088N
dt
(i) Let No represent the amount of the substance present at to. Find the exponential function
that models the decay.
(ii) Suppose that 400g of the substance is present at to. How much will remain after 3 days?
(iii) What is the rate of change of the amount of the substance after 3 days?
(iv) After how many days will half of the original 400 g of the substance remain?
Answers
A function is a relationship between a few different inputs and an output, where each input can only lead to one possible outcome.
What is the chemical substance has a decay rate?(i) The exponential function that models the decay of the substance is given by:
\(N(t) = Noe^(-0.088t)\)
(ii) If \(400g\) of the substance is present at to, then \(No = 400g\) . Therefore, the amount of the substance remaining after 3 days is:
\(N(3) = 400e^(-0.0883) = 309.21g\) (rounded to two decimal places)
(iii) The rate of change of the amount of the substance after 3 days is given by:
\(dN/dt = -0.088N(3) = -0.088309.21 = -27.21 g/day\) (rounded to two decimal places)
(iv) To find the number of days it takes for half of the original \(400g\) of the substance to remain, we need to solve the equation:
\(N(t) = 0.5No\)
\(0.5No = Noe^(-0.088t)\)
\(0.5 = e^(-0.088t)\)
\(ln(0.5) = -0.088t\)
\(t = ln(0.5)/(-0.088) = 7.89 days\) (rounded to two decimal places)
Therefore, after \(7.89\) days, half of the original \(400g\) of the substance will remain.
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Please help
A line intersects the point (-8, -1) and
has a slope of 2. What is the
slope-intercept equation for this line?
y =
母
EX+
x+
Answers
Answer:
\( \displaystyle \large{y = \frac{1}{4} x + 1}\)
Step-by-step explanation:
Whenever you solve a word problem, our first step is to read and gather the information we find.
"A line intersects the point (-8,-1) and has a slope of 1/4. What is the slope-intercept equation for this line?"
After reading the question, I am going to highlight or bold the contexts that are important to our problem-solving.
"A line intersects the point (-8,-1) and has a slope of 1/4. What is the slope-intercept equation for this line?"
First, let's understand that slope-intercept equation is in the form of y = mx+b where m = slope and b = y-intercept
After reading the context, what do we know?
a slope of 1/4a line passes through (-8,-1)write in slope-intercept formWe finally have the information — our first step is to write our slope-intercept equation.
\( \displaystyle \large{y = mx + b}\)
We know that m is slope which is 1/4 — substitute in the equation.
\( \displaystyle \large{y = \frac{1}{4} x + b}\)
We have used the two information which are a slope of 1/4 and slope-intercept equation.
That only leaves to one information which is a line that passes through (-8,-1).
Since the graph has to pass through the point, we substitute x = -8 and y = -1.
\( \displaystyle \large{ - 1= \frac{1}{4} ( - 8)+ b}\)
After using all information, it seems that we are solving for b-term or y-intercept.
\( \displaystyle \large{ - 1= \frac{1}{1} ( - 2)+ b}\)
From above — cross-division.
\( \displaystyle \large{ - 1= 1( - 2)+ b} \\ \displaystyle \large{ - 1= - 2+ b}\)
Add both sides by 2 to isolate b-term.
\(\displaystyle \large{ - 1 + 2= - 2 + 2+ b} \\ \displaystyle \large{ 1= b}\)
Therefore, the value of b is 1. From the equation:
\( \displaystyle \large{y = \frac{1}{4} x + b}\)
Substitute b = 1 in the equation.
\( \displaystyle \large{y = \frac{1}{4} x + 1}\)
And we're done!
ANSWER
\(\sf{\red{y = \frac{1}{4}x + 1}}\)EXPLANATION
The slope-intercept equation of a straight line is of the form\(\sf{}y = mx + b\)
Where,
'm' is the slope
'b' is the y-intercept
From the question we have slope to be
\(\sf{}m = \frac{1}{4}\)
We substitute the slope into the slope-intercept equation and obtain:
\(\sf{}y = \frac{1}{4}x + b\)
To find the value of 'b' we plug in the point (-8,-1) into our current equation.
\(\sf- 1= \frac{1}{4}( - 8)+ b\)
\(\sf- 1= - 2+ b\)
\(\sf- 1 + 2 = b\)
\(\sf{}b= 1\)
The complete equation is
\(\sf{}y = \frac{1}{4}x + 1\)Describe in words the transformations of the graph of the parent function f(x) = x2 that
would result in the graph of
g(x) = 3(x - 5)^2 + 2.
Describe in words the transformations of the graph of the parent function f(x) = x2 that
would result in the graph of
g(x) = 1/3(x + 6)^2- 4.
Answers
2. The transformations are given as follows:
Vertical stretch by a factor of 3.Translation right 5 units.Translation up 2 units.3. The transformations are given as follows:
Vertical compression by a factor of 3.Translation left 6 units.Translation down 4 units.How to define the transformations?For item 2, the transformations in this problem are given as follows:
Vertical stretch by a factor of 3, due to the multiplication by 3.Translation right 5 units, as x -> x - 5.Translation up 2 units, as y -> y + 2.For item 3, the transformations are given as follows:
Vertical compression by a factor of 3, due to the multiplication by 1/3.Translation left 6 units, as x -> x + 6.Translation down 4 units, as y -> y - 4.More can be learned about translations at brainly.com/question/28174785
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Given that A is true, B is true, and C is false, evaluate each of the following expressions. To grade your work, declare and initialize the three variables in Processing, then print the result of each expression below and compare it to your result. a. A \&\& !B b. B∥C c. 1 B==C d. A&&!C e. (B∥C)&&(!A) f. (A!=B)∥(B!=C)
Answers
The evaluation of the given Boolean expressions are:
a) A && !B = false b) B∥C = true
c) B==C = false d) A&&!C = true
e) (B∥C)&&(!A) = false f) (A!=B)∥(B!=C) = true
Information available in the problem:
A = true
B = true
C = true
a) Since A and B are both true, !B (which means "not B") is false. Therefore, A && !B evaluates to false, because the logical AND operator returns true only if both of its operands are true.
Hence,
A && !B = true && false = false
b) Since B is true, the result of B∥C will be true, regardless of the value of C. This is because the logical OR operator returns true if at least one of its operands is true.
Hence,
B∥C = true ∥ false = true
c) Since B is true and C is false, B and C have different values, and therefore B==C will evaluate to false. This is because the equality operator returns true only if its operands have the same value.
Hence,
B==C = true == false = false
d) Since A is true and !C (which means "not C") is true, A&&!C evaluates to true. This is because the logical AND operator returns true only if both of its operands are true.
Hence,
A&&!C = true && !false = true && true = true
e) Since B is true, the result of B∥C will be true, regardless of the value of C. This is because the logical OR operator returns true if at least one of its operands is true. Therefore, B∥C evaluates to true.
Since A is true and !A (which means "not A") is false, !A evaluates to false.
Therefore, (B∥C)&&(!A) evaluates to false, because the logical AND operator returns true only if both of its operands are true.
Hence,
(B∥C)&&(!A) = true && false = false
f) Since A is true and B is true, A!=B (which means "A is not equal to B") is false, because A and B have the same value.
Since B is true and C is false, B!=C (which means "B is not equal to C") is true, because B and C have different values.
Therefore, (A!=B)∥(B!=C) evaluates to true, because the logical OR operator returns true if at least one of its operands is true.
Hence,
(A!=B)∥(B!=C) = false ∥ true = true
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There are 15 students in the class and 8 are boys. What is the ratio of girls to students in the room?
Answers
Answer:
7/15
Step-by-step explanation:
hope this helps?:)
Find the number of ways of
arranging the letters of the
words DANGER, so that no vowel
occupies odd place.
Answers
Answer: 6 * 24 = 144 ways.
Step-by-step explanation:
Solution:
Given word => DANGER.
The condition is that vowels can't occupy odd places so, we will let them occupy even places.
A total number of arrangements will be = 6 * 24 = 144 ways.
Answer: 6x24 = 144 ways.
HELP PLEASE I WILL GIVE BRAINLIEST
its an easy question
Answers
second one is bottom
third one is middle
Answer:
3+3+y= y+3+3
y(3*y)= (y*y)*3
3*1*y= y*3
Step-by-step explanation:
omplete the paragraph proof.
Given: and are right angles
Line segment A B is-congruent-to line segment B C Line segment B C is-congruent-to line segment A C
Prove: Line A R bisects Angle B A C
Triangles A B R and R C A share side R A. A line is drawn from point B to point C and intersects side A R at point P.
It is given that and are right angles, and . Since they contain right angles, ΔABR and ΔACR are right triangles. The right triangles share hypotenuse , and reflexive property justifies that . Since and , the transitive property justifies . Now, the hypotenuse and leg of right ΔABR is congruent to the hypotenuse and the leg of right ΔACR, so by the HL congruence postulate. Therefore, ________ by CPCTC, and bisects by the definition of bisector.
Answers
The BR is the perpendicular bisector of AC by CPCTC (corresponding parts of congruent triangles are congruent).
Based on the given information that angles ABR and ACR are right angles, and AB = AC, we can conclude that triangles ABR and ACR are right triangles.
Using the shared hypotenuse AR and the reflexive property, we can determine that side AB is congruent to side AC.
With this information, the transitive property allows us to conclude that angle BAR is congruent to angle CAR. Next, using the HL congruence postulate, we can prove that triangle ABR is congruent to triangle ACR.
This means that side BR is congruent to side CR, and angle BAC is bisected by line segment BR by the definition of bisector.
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One week, Brody earned $396.10 at his job when he worked for 17 hours. If he is paid the same hourly wage, how many hours would he have to work the next week to earn $699.00?
this is worth 50 points, plus brainliest
Answers
Answer:
Brody will have to work 30 hours.
Step-by-step explanation:
First you have to divide 396.10 by 17 to get $23.30 which is how much he earns per hour. Then you divide 699.0 by 23.30 to get 30 hours.
Raoul has 72 wristbands and 96 movie passes to put in gift bags. The greatest common factor for the number of wristbands and the number of movie passes is qual to the number of gift bags. Raoul needs to make. Then find how many wristbands and how many movie passes raoul can put in each gift bag if he evenly distributes the items.
Please help I am stuck I am doing work nonstop on all weekends if I don’t get this right and done please help and will give brainlesst for the correct answer
Answers
Answer:
Step-by-step explanation:
I do know give me brainliest first
Answer:
24 gift bags
Step-by-step explanation:
Well first the question says to find the GCF and you find that by finding prime factors in each number. Then you would want to subtract 96-72 and get the answer of 24 so you would be able to make 24 gift bags. Hope this helps!!
May I have heart, 5 star, and brainliest please?
WILL GIVE U BRAINLIEST
What is the value of x?
A. 100 degrees
B. 50 degrees
C. Not enough info
D. 60 degrees
Answers
Answer:
B. 50
Step-by-step explanation:
180-80=100
100 divided by two equal angles is 50.
Find the perimeter of the trapezoid.
16
7
5
4
20
Plz plz help
Answers
Answer:
48
Step-by-step explanation:
7+16+5+20=48
For her phone service, Mai pays a monthly fee of $19, and she pays an additional $0.04 per minute of use. The least she has been charged in a month is$70.28. What are the possible numbers of minutes she has used her phone in a month?
Answers
We have a phone service fee which can be divided in:
- A fixed fee of $19 per month.
- A variable fee of $0.04 per minute, so that the cost for m minutes is 0.04*m.
We can add the two fees to express the total cost in function of the minutes as:
\(C(m)=19+0.04m\)For a month where the cost is C(m) = 70.28, we can calculate the minutes as:
\(\begin{gathered} C(m)=70.28 \\ 19+0.04m=70.28 \\ 0.04m=70.28-19 \\ 0.04m=51.28 \\ m=\frac{51.28}{0.04} \\ m=1282 \end{gathered}\)Answer: if she pays at least $70.28, she has talked at least m = 1282 minutes per month.
A school received donations totaling $1,600 for new equipment. The school estimates
this to be about 45% of the total amount they will receive. What does the school
estimate to be the total amount they will receive for the new equipment?
Which picture and equation best represent the problem?
Answers
Answer:
$3555.56 (2 dp)
Step-by-step explanation:
if $1600 = 45% then 1600/45 = 1%
Therefore, 100% = 1600/45 x 100 = $3555.56 (2 dp)
C=5/9 (f -32
F= 9/5C + 32
Answers
When C = 20, F is equal to 68, and when F = 100, C is approximately 37.78.
Given the equations:
C = (5/nine) * (F - 32)
F = (9/5) * C + 32
If we replace specific values for F or C, we will locate the corresponding price for the opposite variable. Here are some examples:
Let's expect C = 20. Substituting this fee into the second equation:
F = (9/five) * 20 + 32
F = 36 + 32
F = 68
Therefore, when C = 20, F is equal to sixty-eight.
Let's expect F = a hundred. Substituting this cost into the primary equation:
C = (five/9) * (100 - 32)
C = (5/9) * 68
C = 340/9
C ≈ 37.78
So, whilst F = one hundred, C is approximately 37.78.
These examples exhibit how you may locate the values of F and C by using substituting one variable into the equations and fixing for the alternative variable. Remember, you could choose any unique values for F or C and perform the calculations consequently.
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The correct question is:
"C=5/9 (f -32)
F= 9/5C + 32
Solve for F and C"
Factor the expression 1/4x + 11/4
Answers
Answer:
1 /4 ( x+11 )
Step-by-step explanation:
Factor 1 /4 out of each term.
Please break down how to do these pls
Answers
The value of given expressions is -4\(x^{-2}\) + 3\(y^{0}\) = 19 and 2\(x^{0}\)\(y^{-2}\) = 0.08
Simplifying an equation is simply another way of saying solving a math problem. When you simplify a phrase, you are attempting to write it in the simplest way feasible. In conclusion, there should be no more adding, subtracting, multiplying, or dividing to do.
Given expression 1. -4\(x^{-2}\) + 3\(y^{0}\) 2. 2\(x^{0}\)\(y^{-2}\)
Expression for x =2 and y=5
-4x-2 + 3y0
= -4(2)-2 + 3(5)0
= 16+3
=19
Now
2x0y-2
= 2(2)0x(5)-2
= 2 x (1/25)
= 2 x 0.04
= 0.08
Therefore the value of given expressions is -4\(x^{-2}\) + 3\(y^{0}\) = 19 and 2\(x^{0}\)\(y^{-2}\) = 0.08
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Please help me solve this asap.
(step by step explanation)
Answers
Then we look for the slope: the line decreases from 240 to 210 (a change of -30) when traveling 300 miles (a change of 300). Since the slope is rise over run, we have -30/300=-1/10.
Therefore, the correct answer is J.