===========================================================
Reason:
Let's check to see if choice A is the answer. We'll replace each x with -1
2x^2 + 4x = 3 + 3x^2
2(-1)^2 + 4(-1) = 3 + 3(-1)^2
2(1) + 4(-1) = 3 + 3(1)
2 - 4 = 3 + 3
-2 = 6
We don't end up with the same thing on both sides, so x = -1 is not a solution to the equation.
--------------
Now try x = 0
2x^2 + 4x = 3 + 3x^2
2(0)^2 + 4(0) = 3 + 3(0)^2
2(0) + 4(0) = 3 + 3(0)
0 = 3
That's false as well, which allows us to rule out choice B.
--------------
Next up plug x = 3 into the equation
2x^2 + 4x = 3 + 3x^2
2(3)^2 + 4(3) = 3 + 3(3)^2
2(9) + 4(3) = 3 + 3(9)
18 + 12 = 3 + 27
30 = 30
We get the same thing on both sides so we have confirmed x = 3 is a solution.
--------------
There may be other solutions. If we tried x = 6, then it leads to 96 on the left hand side and 111 on the right hand side. That rules out x = 6 as a solution.
If I have 22,590$ and I need to get to 52,900$ how much money do I need.
Answer:
30310$
Step-by-step explanation:
Solve for x -
[tex]\sf 5x-6=3x-8[/tex]
Answer:
[tex]x=-1[/tex]
Step-by-step explanation:
[tex]\textsf{Given equation}:[/tex]
[tex]5x-6=3x-8[/tex]
[tex]\textsf{Subtract $3x$ from both sides}:[/tex]
[tex]\implies 5x-6-3x=3x-8-3x[/tex]
[tex]\implies 2x-6=-8[/tex]
[tex]\textsf{Add $6$ to both sides}:[/tex]
[tex]\implies 2x-6+6=-8+6[/tex]
[tex]\implies 2x=-2[/tex]
[tex]\textsf{Divide both sides by $2$}:[/tex]
[tex]\implies \dfrac{2x}{2}=\dfrac{-2}{2}[/tex]
[tex]\implies x=-1[/tex]
Every year, Reba's family runs the sand castle contest during the Fun in the Sun beach festival. Reba's job is to deliver empty buckets to the teams. This year, Reba hands out the same number of buckets to each of the 12 teams in the contest. Each team gets 6 buckets.
Use an equation to find the total number of buckets Reba delivers.
If this year, Reba hands out the same number of buckets to each of the 12 teams in the contest. Each team gets 6 buckets. the total number of buckets Reba delivers is 72 buckets.
Total number of bucketsLet x represent the total number of buckets Reba delivers.
The equation to find the total number is:
x / 6 = 12
Let solve for x, to get the total number of buckets Reba delivers.
x = 12 × 6
x = 72 buckets
Therefore the total number of buckets is 72.
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Lisa's family is planning a trip to Orlando, Florida which is 645 miles away from their
home. If Lisa's family travels 65 miles per hour, at least how many hours will it take
them to get to Orlando?
Answer:
about 9.92 hours (at least 9 hours, almost 10 hours)
Step-by-step explanation:
645 miles / 65 mph = about 9.92 hours
can y’all help me out with this worksheet?
Value of x [tex]\frac{36}{5}[/tex]
value of m∠3 = [tex]\frac{462}{5}[/tex]
Define angles.When two rays meet at a point, they make an angle. An "angle" is the term used to describe the "opening" between these two rays, and it is symbolized by the symbol. Angles are typically expressed as 60°, 90°, etc. and are measured in degrees. A figure made up of two rays meeting at the vertex of the angle can be referred to as an angle.
Given Data
m∠3 = 17x - 30
m∠6 = 12x +6
Angle pair - exterior alternate angle
For the value of x,
17x - 30 = 12x + 6
17x - 12x = 6 + 30
5x = 36
x = [tex]\frac{36}{5}[/tex]
For m∠3,
17x - 30
Equating value of x,
17([tex]\frac{36}{5}[/tex]) - 30
[tex]\frac{612-150}{5}[/tex]
[tex]\frac{462}{5}[/tex]
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It's Joey's 8th birthday! Joey's favorite present is the 8 baseball cards that he got from his dad. Joey has never owned a baseball card before this gift, and he decides that he wants to start collecting baseball cards.
He plans to collect 3 baseball cards each month until he has a total of 50 cards.
Let x represent the number of months Joey collects the baseball cards.
Which equation can Joey use to determine how many months it will take to reach his goal?
The equation that Joey can use to determine how many months it will take to reach his goal will be 8 + 3x = 50 and the number of months is 14.
How to illustrate the information?From the information, Joey's favorite present is the 8 baseball cards that he got from his dad and he has never owned a baseball card before this gift and he plans to collect 3 baseball cards each month until he has a total of 50 cards.
This will be illustrated as:
8 + 3x = 50
Collect like terms
3x = 50 - 8
3x = 42
Divide through 3
3x / 3 = 42 / 3
x = 14
The number of months is 14.
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Can someone please help i will give brainliest
The given function g(x) is positive for all real values of x, and increasing for the interval (-3,∞) , decreasing for the interval (-∞,-3) and
the end behavior is that g(x) → ∞ as x → -∞ an g(x) → ∞ as x → ∞ .
In the question ,
the graph of the function g(x) is shown ,
we see that ,No part of the graph of function g(x) is below the x axis ,
So, the negative of the function g(x) does not exist .
Also from the graph we can see that the graph is above the x axis for all values of x,
So , the function g(x) is positive for all real values of x .
the graph shows that the function is decreasing for x<-3 means
function g(x) is decreasing in the interval (-∞,-3) .
the graph shows that the function is increasing for x>-3 means
function g(x) is increasing in the interval (-3,∞) .
From the graph ,
the end behavior of the function g(x) is that g(x) → ∞ as x → -∞ and g(x) → ∞ as x → ∞
Therefore , the given function g(x) is positive for all real values , and increasing for the interval (-3,∞) , decreasing for the interval (-∞,-3) and
the end behavior is that g(x) → ∞ as x → -∞ and g(x) → ∞ as x → ∞ .
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Please help, thanks
Answer:
13. x = 3∛2
14 x = ± 4√6 = ± 4√2 √3
15. x = 2∛11
16 x = -4∛2
17 x = ± 10√3
18. x = ± 4 √3 √5
Step-by-step explanation:
13. x³ = 54
x = ∛4
Factor 54: 2 x 27
∛54 = ∛2 x ∛27
∛27 = 3
answer: 3∛2
14. x² = 96
x = ±√96
96 = 6 x 16
√16 = 4
√6
√96 = ± 4√6 = ± 4√2√3
15. x³ = 88
x = ∛88
88 = 8 x 11
∛88 = ∛8 x ∛11 = 2∛11
16. x³ = -128 means x has to be negative
x = -∛128
128 = 64 x 2
∛128 = ∛64 x ∛2 = 4∛2
So x = -4∛2
17. x² = 300
=> x = ± √300
300 = 100 x 3
√300 = √100 x √3 = 10√3
x = ± 10√3
18. x² = 240
x = ±√240
240 = 16 x 15
√240 = ± (√16 x √15)
= ± 4 √3 √5
Find the measure of angles 1 and 2
I really need to get this done by today!
The unknown angles are as follows:
∠1 = 118°∠2 = 62°How to find measures of angles?The measures of angle 1 and 2 can be found as follows:
When parallel lines are cut by a transversal line, angle relationships are formed such as corresponding angles, alternate angles, vertically opposite angles etc.
Therefore,
∠1 + ∠2 = 180(sum of angle on a straight line)
∠1 = 118(alternate angles)
118 + ∠2 = 180
∠2 = 180 - 118
∠2 = 62 degrees
Therefore,
∠1 = 118 degrees
∠2 = 62 degrees.
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5. A rocket is launched from atop a 68-foot cliff with an initial velocity of 139 feet per
second. The height of the rocket t seconds after launch is given by the equation
h=-16t² + 139t+ 68. How long after the rocket is launched will it be 12 feet from the
ground? Round to the nearest hundredth of a second.
Answer: Its t=
32
−
23673−64h
+139
Step-by-step explanation:
Which is the following numbers is the closest to six
38
34
33
37?
What do you know to be true about the values of a and b?
A. a
B. a = b
C. a>b
D. Can't be determined
Option A is the correct Answer a<b.
How to find the angle of triangles?From the figure, we can see both are isosceles triangles.From the first figure we can calculate the
angle a= 180-(75+75)=30°
the second figure shows the angle b =60°to confirm that a<b.
An isosceles triangle has two equal sides as well as two equal angles. The Greek words iso (same) and skelos are the source of the name (leg). An equilateral triangle is one in which all of its sides are equal, whereas a scalene triangle is one in which none of its sides are equal.If either of a triangle's two sides is equal, the triangle is said to be isosceles. Let's consider a triangle with the sides AB, BC, and CA. The triangle is isosceles if any of these statements—AB = BC, BC = CA, or CA = AB—are accurate.To more learn about isosceles triangle refers to:
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help asap pls!!!!!!!!!
Answer:
z=70 y=98
Step-by-step explanation:
180-110=70=z
70+87+105=262
360-262=98=y
A group of friends take a tubing trip the company charges $15 for a regular tube and $7.50 for a cooler tube. Together they spent $360 to rent. How many of each tube did they rent?
The no. of regular tube costing $15 were 12 and the cooler tube costing $7.5 each were 24
What is a tubing?The entire family can participate in tubing. Change into swimwear, rent a tube and a life jacket, and float down the river—that it's easy. Numerous outfitters provide transportation to the best waterways and rent tubes from Blue Ridge to Columbus, via Helen and Columbus.
The total cost of rent on tube = $360
Price of regular tube = $15
Price of cooler tubes = $7.5
Let the no. of regular tubes be and cooler tubes be y
The equation forms
15x + 7.5y = 360 ...1
As we can notice regular tube is twice the price of cooler tubes, sthe the equation forms
2(7.5) = 15
This means when y = 2, x = 1
cross multiply them and we find
2/y = 1/x
x/y = 1/2
x = y/2 ...2
Putting the value of x in eq 1, we get
15(y)/2 + 7.5y = 360
7.5y + 7.5y = 370
15y = 360
y = 360/15
y = 24
Putting the value of y in eq 1, we get
15x + 7.5(24) = 360
15x + 180 = 360
15x = 360 - 180
15x = 180
x = 180/15
x = 12
Thus, The no. of regular tube costing $15 were 12 and the cooler tube costing $7.5 each were 24.
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multiply. what is the product (3 x 10^9) x (2 x 10^17) in scientific notation
Answer:
600000000000000000000000000[tex]x^{2}[/tex]
3y+1=6x in y intercept form.
Answer:-1/3
Step-by-step explanation:
3y+1=6x
Minus 1 on both side so,
3y=6x-1
Then divide 3 on both side so,
y=2x-1/3
The number behind x is y intercept which -1/3 and the - sign have to be inside.
rereciporical of 1/2
Answer: 2 or 2/1
Step-by-step explanation: the reciprocal of 1/2 is 2/1. in decimal form, 2 is the reciprocal of 0.5.
You spin a spinner, Flip a coin, then spin the spinner again. Find the probability of the compound event, write your answer as a fraction or percent. If necessary round your answer to the nearest hundredth.The probability of spinning blue, flipping heads, then spinning a one is _
The probability is given by:
[tex]P=\frac{numb\text{er of favourable outcomes}}{\text{total number }of\text{ outcomes}}[/tex]Therefore:
- The probability of spinning blue is:
Favorable outcomes = 1 (blue color)
Total outcomes = 3 (red, blue, and yellow)
[tex]P(\text{spinning blue)}=\frac{1}{3}[/tex]- The probability of flipping heads is:
Favorable outcomes = 1 (head)
Total outcomes = 2 (head and tail)
[tex]P(\text{flipping head)=}\frac{1}{2}[/tex]- The probability of spinning a one is:
Favorable outcomes = 1 (number 1)
Total outcomes = 3 (numbers 1, 2 and 3)
[tex]P(\text{spinning a one)=}\frac{1}{3}[/tex]Next, the probability of the compound event:
[tex]P(\text{compound event)=}\frac{1}{3}\times\frac{1}{2}\times\frac{1}{3}=\frac{1\times1\times1}{3\times2\times3}=\frac{1}{18}[/tex]Answer: the probability of the compound event is 1/18
On Monday, a local hamburger shop sold a combined total of 416 hamburgers and cheeseburgers. The number of cheeseburgers sold was three times the number of hamburgers sold. How many hamburgers were sold on Monday?
(Will mark brainliest plus 100 points)
A nearby hamburger joint sold 416 hamburgers and cheeseburgers in total on Monday. 104 hamburgers were sold.
Given that,
A nearby hamburger joint sold 416 hamburgers and cheeseburgers in total on Monday. Three times as many cheeseburgers were sold as regular hamburgers.
We have to find on Monday, how many hamburgers were sold.
Let us take hamburgers were sold as h and cheeseburgers were sold as c.
Quantity equation is h+c=416
c=3h
Substitute c =3h in h+c=416
h+3h=416
4h=416
h=104
Now,
Substitute h=104 in c=3h
c=3×104
c=312
Therefore, 104 hamburgers were sold.
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For every 500 g of reactants, 3.1 g of catalyst were required. How much catalyst was
required for 900 g of reactants?
For every 500 g of reactants, 3.1 g of catalyst were required. The catalyst that was required for 900 g of reactant was 5.58g
What do you mean by a catalyst?The process of catalysis involves introducing a catalyst to chemical reaction to speed up the process. Catalysts are not destroyed during reaction and are unaffected by it. Very little amounts of catalyst are frequently sufficient when the reaction is swift and the catalyst recycles quickly; the velocity of the reaction is greatly influenced by mixing, surface area, and temperature. In most cases, catalysts interact with one or more reactants to produce intermediates that ultimately lead to the final reaction product, regenerating the catalyst in the process.
Homogeneous catalysis, in which all of the components are dispersed in the same phase as the reactant (often a gas or liquid), and heterogeneous catalysis, in which the components are not. It's common to think of enzymes and other biocatalysts as a a third category.
In all branches of the chemical business, catalysis is commonplace. 90% of all chemical compounds manufactured for commercial purposes are thought to use catalysts at some point during the manufacturing process.
500g of reactants = 3.1g of catalyst
1g of reactants = 3.1g of catalyst / 500g of reactants
900g of reactants = [tex]\frac{3.1}{500} * 900[/tex] = 5.58g
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what is 71.04 in expanded form
Answer:
(7 x 10) + (1 x 1) + (0/10) + (4/100)
70 + 1 + 0.04
70 + 1 + 4/100
Step-by-step explanation:
Here are all the expanded forms I can think of off the top of my head, sorry if this didn’t help much!
3. Triangle JKL is shown below. Which of the following is not a true statement about the angles in the triangle? A. The sum of 2J + 2K+ ZL = 180°. B. The measure of ZJ is 65°. C. The measure of ZK is 89°. D. The measure of ZL is 43°. 7x+2 J K 8x 7x + 2 4x + 7 L
The statement that is not true about the angles in the triangle is OPTION C. The measure of ∠K is 89°
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Equations are classified based on degree (value of highest exponents) as linear, quadratic, cubic and so on. Variables can be dependent or independent. Dependent variables depend on other variable while an independent variable do not depend.
From the diagram:
∠J + ∠K + ∠L = 180° (angles in a triangle)
Substituting:
(7x + 2) + (8x) + (4x + 7) = 180
19x + 9 = 180
x = 9
∠J = 7x + 2 = 7(9) + 2 = 65°
∠K = 8x = 8(9) = 72°
∠L = 4x + 7 = 4(9) + 7 = 43°
∠k ≠ 89°
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Kindly help and mention which one youve solved
The value of m²+n²+p² is 46.
What is algebraic identities?In mathematics, an identical element, also known as a neutral element, is an element of a set that, when subjected to a binary operation, leaves each element of the set intact. In algebraic structures like groups and rings, this idea is applied. Algebraic identities are algebraic equations that are true regardless of the value of each variable. Additionally, they are employed in the factorization of polynomials. Algebraic identities are employed in this manner for the computation of algebraic expressions and the solution of various polynomials.
Given Data
m + n+ p= 10
mn + np + mp = 27
For m² + n²+ p²
Using algebraic identities,
(m+ n +p)² = m² + n² + p² +2(mn + np + pm)
(10)² = m² +n² + p² + 2(27)
100 = m² + n² + p² + 54
100 - 54 = m² + n² + p²
46 = m²+n²+p²
The value of m²+n²+p² is 46.
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What is the special angle pair relationship between 2 and 3?
The special angle pair relationship between ∠2 and ∠3 is same-side interior angles.
How to find angles?When parallel lines are cut by a transversal line, angle relationships are formed such as corresponding angles, alternate angles, linear angles, vertically opposite angles etc.
Therefore, the angle pair relationship between angle 2 and 3 are same side interior angles.
The same-side interior angle theorem states that when two lines that are parallel are intersected by a transversal line, the same-side interior angles that are formed are supplementary.
Supplementary angles are those angles that sum up to 180 degrees. In other words, If the measures of two angles sum up to 180°, they are called supplementary angles.
Therefore, same side interior angles are supplementary angles.
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Stuck with this question, I hope it goes right but I put in 15 points so
Have a good day and thanks in advance to anyone who helps me.
what is (1/6-0.5). divided by 5/11
Answer: I think the answer is -11/15
Step-by-step explanation:[tex]\frac{1}{6}[/tex]-0.5 0.5=[tex]\frac{1}{2}[/tex]
[tex]-\frac{1}{3}[/tex] divided by [tex]\frac{5}{11}[/tex] = [tex]\frac{11}{15}[/tex]
For
f(x)= −3x5+1, f(–10)=7
7 is the answer but i dont have the work
Answer:
f(-10) = -299999
Step-by-step explanation:
Equation
f(x)= −3x^55+1
Given
x = - 10
Solution
You have to understand what f(x) means. When you put a value in for x, every x on the right is supplied with that value.
In this case I take the equation to mean what ever we are given in the brackets (in this case 10) is what goes into the x on the right. So the new equation is
f(-10) = -3*(-10)^5 + 1
(- 10) ^5 = - 100000
f(-10) = -300000 + 1
f(-10) = -299999
Santa and his elves had a workshop that allowed them to produce 22{,}912{,}546{,}99222,912,546,99222, comma, 912, comma, 546, comma, 992 toys each year.
The world population increased, so they built a new workshop. The new workshop allows them to produce 4{,}134{,}232{,}638{,}9374,134,232,638,9374, comma, 134, comma, 232, comma, 638, comma, 937 toys each year.
Approximately how many times as many toys can the new workshop produce each year compared to the old workshop?
Choose 1 answer:
Choose 1 answer:
The new workshop can produce as many as 180 toys each year compared to the old workshop
What is the approximation of a number?The approximation of numbers is the estimates of the said number.
This means that the approximation of a number is close to the said number, but it has a slight different value
How to determine the approximate number of times?The given parameters are:
Old capacity = 22,912,546,992 toys per year
New capacity = 4,134,232,638,937 toys per year
The approximate number of times is calculated as
Number of times = New capacity/Old capacity
Substitute the known values in the above equation
So, we have
Number of times = 4,134,232,638,937 toys per year/22,912,546,992 toys per year
Remove the units
So, we have
Number of times = 4,134,232,638,937/22,912,546,992
Evaluate the quotient
So, we have
Number of times = 180.435315217
Approximate
Number of times = 180
Hence. the approximate number of times is 180
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Part A Write the multiplication expression shown by the model. Do not solve the problem.
help
The multiplication expressions shown by the model are:
Green squares: (4 x 10) + (1 x 6)Red squares: (4 + 2) + (4 x 10)Blue squares: (8 x 2) (3 x 10)Ash squares: (2 + (6 x 10)What are multiplication expressions?A multiplication expression is a mathematical statement that uses the multiplication operand with either number, variables, or a combination of the two to produce results.
The numbers or variables in a multiplication expression are known as multiplicand (the first number to be multiplied) and multiplier (the second number multiplying).
The result or solution of a multiplication operation is known as the product.
Thus, other possible multiplication expressions can be written out from the model because of the additive property of multiplication.
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HELPPPPP #STRESSEDTHEHECKOUT
Answer:
Ok so first change the fractions to decimals and the top one is five