Answer:
[tex]x=\frac{13\pm\sqrt{73} }{8}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesAlgebra I
Standard Form: ax² + bx + c = 0Quadratic Formula: [tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]Step-by-step explanation:
Step 1: Define equation
6x² - 13x + 6 = 2x²
Step 2: Rewrite in Standard Form
Subtract 2x² on both sides: 4x² - 13x + 6 = 0Step 3: Define
a = 4
b = -13
c = 6
Step 4: Solve for x/roots
Substitute: [tex]x=\frac{13\pm\sqrt{(-13)^2-4(4)(6)} }{2(4)}[/tex]Exponent: [tex]x=\frac{13\pm\sqrt{169-4(4)(6)} }{2(4)}[/tex]Multiply: [tex]x=\frac{13\pm\sqrt{169-96} }{8}[/tex]Subtract: [tex]x=\frac{13\pm\sqrt{73} }{8}[/tex]And we have our final answer!
Elon sent a chain letter to his friends, asking them to forward the letter to more friends. The relationship between the elapsed time, t, in days, since Elon sent the email, and the total number of people who receive the email, P(t), is modeled by the following function: P(t)=4×3^t
Answer:
Growing by 3's
Step-by-step explanation:
Every day, the number of people who receive the email increases by a factor of 3.
We have,
In the function, P(t) = [tex]4 \times 3^t,[/tex] the base of the exponent is 3.
This means that for each additional day (t), the exponent increases by 1, and multiplying by 3 represents the growth factor.
For example, if we consider t = 0 (the day Elon sent the email), we substitute t = 0 into the function:
P(0) = 4 * [tex]3^0[/tex] = 4 * 1 = 4
On the first day, 4 people received the email.
If we consider t = 1 (the day after Elon sent the email):
P(1) = 4 * [tex]3^1[/tex] = 4 * 3 = 12
On the second day, the number of people receiving the email increased by a factor of 3 (from 4 to 12).
Similarly, on the third day:
P(2) = 4 * 3² = 4 * 9 = 36
The number of people receiving the email increased by a factor of 3 (from 12 to 36).
This pattern continues, and for each additional day, the number of people who receive the email increases by a factor of 3.
Therefore,
The number of people who receive the email increases by a factor of 3 every day.
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ABCD~FECG similar polygons
Answer:
120
Step-by-step explanation:
If a line is perpendicular to y =-1/3x-5, what is the slope of that
A.-1/3
B.1/3
C.3
D.-3
Answer:
c
Step-by-step explanation:
the slope of a line perpendicular will always be the opposite
the slope of a line parrallel will always be the same
5/6 divided by 4/6 pls answer
Answer:
5/4 or 1 1/4
i think this is right...
gr
Select the correct answer.
Martin is interested in the new hypermiling movement which focuses on getting the best miles per gallon (MPG) when driving. He gathered
some data about the weights, in thousands of pounds, of different cars and their average MPG. The graph below shows the results of Martin's
research
y
42
36
30
.
24
Miles Per Gallon
18
12
6
X
0
Car Weight
(thousands of pounds)
Select the true statement based on the graph.
СА
The situation shows neither correlation nor causation
Answer:
The correct option is;
The situation shows correlation without causation
Step-by-step explanation:
The given data are;
Weight y [tex]{}[/tex] Miles Per Gallon
42 [tex]{}[/tex] 18
36 [tex]{}[/tex] 12
30 [tex]{}[/tex] 6
. [tex]{}[/tex] x
24 [tex]{}[/tex] 0
The first difference of the data = 42 - 36 = 36 - 30 = 30 - 24 = 6
18 - 12 = 12 - 6 = 6 - 0 = 6
The first difference of the data is constant and equal to 6
Therefore, the graph is a straight line graph with y-intercept = 24 and slope given by the rate of change of the weight to the miles per gallon of fuel consumption as follows;
The rate of change of the weight to the miles per gallon of fuel consumption is given as follows;
(42 - 24)/(18 - 0) = 1
Therefore, the points of the data fit into the straight line and the data of the situation shows correlation
In order to show causation, and to rule out other possible causes for the rise in MPG, a separate experiment will be required whereby the cause for the rise in MPG can be determined.
Answer:
The situation shows correlation with causation.
Step-by-step explanation:
A correlation between two variables is a measure of the strength of the association between them.
It can be seen from the scatter plot that as the weight of the car increases, the miles per gallon decreases.
Causation between variables indicates that one of the variables causes the other variable to occur. Causation between variables always implies correlation.
The weight of the car affects the miles per gallon because cars that weigh more require more power to move. Hence, heavier cars get lower miles per gallon of fuel.
Therefore, the situation shows correlation with causation.
This came straight from the website the question is on.
Solve
(Very easy 6th grade math)
Answer:
D
Step-by-step explanation:
Answer:
Number 3 because it is closet the 12.
Step-by-step explanation:
i will give brainliest!!! pls help
Answer:
Yes, it is a function
Step-by-step explanation:
It is a function because every input only has one output.
The domain is -2, -1, 0, 1, and 2.
The range is 0, 1 ,4
Hi I need this for Geometry im also posting more questions to this same triangle on my account if you don't mind answering them. Thank you! It would really help since I'm not doing well in this class!
Answer:
a reflection across line bc
Step-by-step explanation:
maybe, I think so
My New Gaming Room with PS4 Like Heart me and add me if you want to see the new PS5
hmm I see an opportunity to get free points here, so I will be taking that chance by commenting what I just commented
BLAH BLAH BLAH THX for the free points!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
pula pays 419.92 for 2.4 pounds of walnuts .What is the price per pounof waluts ?
True or False. a radius is a segment that connects any point on the circle to the center of that circle.
Answer:
True
Step-by-step explanation:
Answer:
true
Step-by-step explanation:
Think about it as a disk, if you were to draw a line starting at the edge of the disk and tried to draw it to the center of it you would be able to do it from any point along the outside of the circle.
Line a passes through (-1, 1) and (1, 3).
Answer:
y=x+2
Step-by-step explanation:
[tex] \frac{3 - 1}{1 + 1} = 1[/tex]
gradient =1
y=mx+c
y=x+c
3=1+c
c=3-1
c=2
y=x+2
HELP ME PLEASEEEEE
Kim has $250 to spend on a rental car for her trip. The rental car company charges a fee of $130 plus $0.10 per mile. Kim used the inequality to calculate the maximum number of miles, m, she could drive the rental car.
Which inequality expresses the maximum number of miles Kim can drive the car?
m < 3,800
m < 120
m < 380
m < 1,200
Answer:
m < 1,200
Step-by-step explanation:
250 - 130 = 120
120 / 0.10 = 1,200
Equation: 130+0.10m=250
Answer: 120
Leroy wants to buy a new racing bicycle that costs $168. To earn money, he can either do yardwork for his grandmother or babysit his brother and sister. He earns $24 for 3 hours of yardwork and he earns $48 for 4 hours of babysitting. How much longer will it take him to earn the money if he only does yardwork for his grandmother?
______ hours
PLEASE HELP DUE AT 11:59 PLEASE
Answer:
7 hours
Step-by-step explanation:
This is because 24/3=8
48/4=12
168/12=14
168/8=21
21-14=7
It take him 7 hours to earn the money if he only does yardwork for his grandmother.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.
Given that Leroy wants to buy a new racing bicycle that costs $168. He earns $24 for 3 hours of yardwork and he earns $48 for 4 hours of babysitting.
We need to find the time take to earn the money if he only does yardwork for his grandmother.
Thus, $24 for 3 hours of yardwork
24/3=8
Again, $48 for 4 hours of babysitting.
48/4=12
Now, 168/12=14
168/8=21
The time difference is;
21-14=7
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There must be at least 5 but no more than 10 of each type of fruit in each basket. How many different
ways can you
arrange the fruit baskets when using all of the fruit? Explain your reasoning
Step-by-step explanation:
can u rephrase please thank u
The number of different ways you can arrange the fruit baskets when using all of the fruit is 30240.
There must be at least 5 but no more than 10 of each type of fruit in each basket.
What is the Permutations?Permutations are different ways of arranging objects in a definite order. It can also be expressed as the rearrangement of items in a linear order of an already ordered set. The symbol nPr is used to denote the number of permutations of n distinct objects, taken r at a time.
Now, [tex]10P_5 = \frac{10!}{(10-5)!}[/tex]
= (10 × 9 × 8 × 7 × 6 × 5!)/5!
= 10 × 9 × 8 × 7 × 6
= 30240
Therefore, the number of different ways you can arrange the fruit baskets when using all of the fruit is 30240.
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Mike has a recipe that feeds one person that calls for 3/8 teaspoon
of salt. How much salt is needed to make the recipe if he needs to cook
the recipe for 3 people? ASAP
a. 1 1/8 teaspoons c. 3/4 teaspoon
b. 3/24 teaspoon d. 9/24 teaspoon
(WILL GIVE BRAINLIEST) Solve for x.
-2(-9x+5)-4x=2(x-5)-4
Simplify your answer as much as possible
Answer:
−2(−9x+5)−4x=2(x−5)−4
Step 1: Simplify both sides of the equation.
−2(−9x+5)−4x=2(x−5)−4
(−2)(−9x)+(−2)(5)+−4x=(2)(x)+(2)(−5)+−4(Distribute)
18x+−10+−4x=2x+−10+−4
(18x+−4x)+(−10)=(2x)+(−10+−4)(Combine Like Terms)
14x+−10=2x+−14
14x−10=2x−14
Step 2: Subtract 2x from both sides.
14x−10−2x=2x−14−2x
12x−10=−14
Step 3: Add 10 to both sides.
12x−10+10=−14+10
12x=−4
Step 4: Divide both sides by 12.
12x
12
=
−4
12
x= -1/3
Step-by-step explanation:
Good luck! Hope this helps! <3
Answer :
[tex]x = - \frac{1}{3} [/tex]
or you can just write x = -0.3
hope this helps!
1. Lisa is saving $50 that she received from her grandmother. She earns $6 each time she walks her neighbor's dog, which she also saves. Which function can be used to find f, the amount of money Lisa will have saved after walking the neighbor's dog d times? A. F = 50d + 6 B. F = −6d + 50 C. F = −6d + 44 D. F = 6d + 50
Answer:
Option D. is the correct answer.
The function that can be used to find f, the amount of money Lisa will have saved is F = 6d + 50
Step-by-step explanation:
From the question,
Lisa is saving $50 that she received from her grandmother,
Also, she earns $6 each time she walks her neighbor's dog, which she also saves.
Now, to determine the function that can be used to find the amount of money Lisa will have saved after walking the neighbor's dog d times, we will determine how much she will earn from walking the dog d times and then add it to the money she received from her grandmother. \
If she earns $6 each time she walks her neighbor's dog, then
she will earn $6×d if she walks the neighbor dog for d times.
$6 × d = $6d
Hence, she will earn $6d from walking the dog d times.
The total amount she will have saved will be $6d + $50.
Hence, the function that can be used to find f, the amount of money Lisa will have saved is F = 6d + 50.
Option D. is the correct answer.
Answer:
d
Step-by-step explanation:
the thang
what are the best "never have i ever" questions? please give some good ones! (and don't report!!! i'm giving y'all 50 points ❤️) tysm
Answer:
never have i ever told my best friends boyfriend that she is cheating on him so i could get with him.../
(she was tho)
Step-by-step explanation:
puts finger down
Sharon went bowling with her friends. She paid $3 to rent her shoes and then $3.75 for each game of bowling. She spent a total of $18. How many games did she bowl?
the answer is $24.75
Step-by-step explanation:
u will add all all what she spent
rearrange x = 3g + 2 to make g the subject .
Answer:
g = (2-x)/3
Step-by-step explanation:
PLS GIVE BRAINLIEST
Ok I know about the vertical Line thing but this has got me confuzled! Can someone help! Will give crown to first answer that is correct!
Answer:
sorry but u the best u always help me
PLEASE HELP!!!! GIVING BRAINLIEST!!!
Identify the missing input value.
Answer:
The answers are 34 on the in side and 57 on the out side
Step-by-step explanation:
This is because if you subtract 4 from 9, you will get 5. when you subtract 4 from 19, you will get 15.
I hope this helps
Answer:
In: 33 Out: 29
In: 62 Out: 58
Step-by-step explanation:
Lets find the rate of change first;
[tex]\frac{y^{2}-y^{1} }{x^{2}-x^{1} }=\frac{15-5}{19-9}=\frac{10}{10}=1[/tex]
Which equation has no solutions?
Select one
3x + 2 = 3x -1
4x + 2 = 10
x = 2
4x = 4x
Answer:
4number
Step-by-step explanation:
hope it helped you
Answer:
That would be D
Which table represents a
relationship that is not a function?
PLEASE HELP 16 POINTS?!??
BRAINLIEST IF YOU HELP?!?
Answer:
H.
Step-by-step explanation:
H is not a function because its x-values occur more than once.
HTH :)
Triangle A B C. Angle B is 60.8 degrees and angle C is 57.1 degrees. Triangle X Y Z. Angle Z is 60.8 degrees and angle Y is 59.1 degrees.
Answer the questions about these triangles.
Which is the measure of angle A?
Which angle corresponds to angle A?
What can be concluded about these triangles?
Answer:
62.1
angle Y
the triangles are not similar
Step-by-step explanation:
Answer:
Which is the measure of angle A?
✔ 62.1 degrees
Which angle corresponds to angle A?
✔ angle Y
What can be concluded about these triangles?
✔ The triangles are not similar.
Step-by-step explanation:
Base salary is 100 percent, added bonus is 6 percent, total salary is 106 percent.
Use the diagram to help you solve the problem.
Mark is a receptionist for Exclusive Auto Sales. His base salary is $21,000. He has a good year of customer service, so the company also gives him a 6 percent year-end bonus based on his salary. How much does Mark make, including his base salary and the year-end bonus?
Answer:
22,260
Step-by-step explanation:
Answer:
i just took the answer thing and it would be 22,260 sorry i am so late with the answer but yea hope this helps
Which of the following could NOT be the measures of the angles of a triangle?
A. 600-60°-60°
O B. 70°-50-70°
OC. 40°-400-100°
D. 30°-120°-30°
the angles of a triangle always equals 180 degrees, so all of them cant be the measure of the angles of a triangle except for D
Help please! Thanks, answer only if you know how to do this.
Answer:
2 radians
Step-by-step explanation:
The ratio of the arc length to the circumference is the same as the measure of angle AOB in radians to 2pi. 2pi radians is a full circle. We can now construct an equation, with x being our answer.
[tex]\frac{6}{6\pi } =\frac{x}{2\pi } \\\frac{1}{\pi } =\frac{x}{2\pi }\\1=\frac{x}{2} \\2=x[/tex]
First, we try to simplify both sides. Next, we multiply both sides by pi. Then, we multiply both sides by 2. Finally, our answer is 2, so 2 radians.
What is the measurement of this angle
Answer:
50 degrees
Step-by-step explanation:
