Answer: 35%
Step-by-step explanation:
BRAINLIEST! Write an equation that is true when x is equal to -5, 4, or 0 and for no other values of x , and where one side of the equation is a 4th degree polynomial. (Look at graph for more info)
Answer:
y = x^3 + x^2 − 20x
Step-by-step explanation:
Find the factors from the roots, then multiply the factors together.
f(x) = x³ + x² − 20x that is equation when x is equal to -5, 4, or 0 and for no other values of x.
What is polynomial?A polynomial is defined as a mathematical expression that has a minimum of two terms containing variables or numbers. A polynomial can have more than one term.
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.
Given that
f(x) = (x + 5)(x - 4)(x)
Multiply the factors together.
f(x) = (x + 5)(x² - 4x)
we have to open the brackets above
f(x) = x³ - 4x² + 5x² - 20x
Rearrange the likewise terms and apply the arithmetic operations,
f(x) = x³ + x² − 20x
This equation is true when x is equal to -5, 4, or 0 and for no other values of x.
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Does octane matter? Some people believe that higher octane fuels result in better gas mileage for their cars. To test this claim, a researcher randomly selected 11 individuals (and their cars) to participate in the study. Each individual was given 10 gallons of 87-octane fuel and 10 gallons of 92-octane fuel. The number of miles each driver was able to drive until they ran out of gas with each type of fuel is recorded below.
Complete Question
The government believes that higher-octane fuels result in better gas mileage for their car. To test this claim, a researcher randomly selected 11 individuals to participate in the study. Each participant received 10 gallons of gas (87-octane and 92-octane) and drove his car on a closed course. The number of miles driven until the car ran out of gas was recorded. A coin flip was used to determine whether the car was filled up with 87-octane first or92-octane first, and the driver did not know which fuel was in the tank.
We conducted a paired t-test to see if higher-octane fuels result in better gas mileage, and the test statistic was found to 1.74.
Calculate the p-value.
Answer:
The p-value is [tex]p-value = 0.0562[/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 11
The test statistics is [tex]t = 1.74[/tex]
The null hypothesis is [tex]H_o : \mu _1 = \mu_2[/tex]
The alternative hypothesis is [tex]H_a : \mu _1 > \mu_2[/tex]
Here [tex]\mu_1[/tex] is the gas millage for 87-octane fuel while
Here [tex]\mu_2[/tex] is the gas millage for 92-octane fuel
Generally the degree of freedom is mathematically represented as
[tex]df = n- 1[/tex]
[tex]df =10[/tex]
Generally from the student t -distribution table the probability of t = 1.74 at a degree of freedom of [tex]df =10[/tex] is
[tex]p-value = P( t > 1.74) = 0.0562[/tex]
Juan is three times as old as Gabe and Gabe is six years older than Catherine. If the sum of their ages is 149, how old is each person? Define a variable, write an equation, solve the equation, and answer in a complete sentence. (Remember to clearly show your work on your work page.)
Answer:
Juan = 93 years.
Gabe = 31 years.
Catherine = 25 years.
Step-by-step explanation:
Let the age of Juan = J
Let the age of Gabe = G
Let the age of Catherine = C
Translating the word problem into an algebraic equation, we have;
[tex] J = 3G[/tex] ..........equation 1
[tex] G = C + 6 [/tex] ........equation 2
[tex] J + G + C = 149 [/tex] ........equation 3
We would solve the linear equations by using the substitution method;
Substituting equation 2 into equation 1;
[tex] J = 3(C + 6)[/tex]
[tex] J = 3C + 18[/tex] ........equation 4
Substituting equation 2 and equation 4 into equation 3;
[tex] (3C + 18) + (C + 6) + C = 149 [/tex]
Simplifying the equation, we have;
[tex] 5C + 24 = 149[/tex]
[tex] 5C = 149 - 24[/tex]
[tex] 5C = 125[/tex]
[tex] C = \frac {125}{5}[/tex]
C = 25 years.
To find G; from equation 2
[tex] G = C + 6[/tex]
Substituting the value of "C" into equation 2, we have;
[tex] G = 25 + 6[/tex]
G = 31 years.
To find J; from equation 1
[tex] J = 3G [/tex]
Substituting the value of "G" into equation 1, we have;
[tex] J = 3 * 31[/tex]
J = 93 years.
Therefore, Juan is 93 years old, Gabe is 31 years old and Catherine is 25 years old.
A cardboard box, which weighs 0.6 pound when empty, is filled with 15 bags of beans and a 4-pound bag of rice. The total weight of the box and the contents inside it is 25.6 pounds. One way to represent this situation is with the equation 0.6 + 15b + 4 = 25.6. 1.In this situation, what does the solution to the equation represent? 2.Select all equations that are also equivalent to 0.6 + 15b + 4 = 25.6. Equation A: 15b + 4 = 25.6 Equation B: 15b + 4 = 25 Equation C: 3(0.6 + 15b + 4) = 76.8 Equation D: 15b = 25.6 Equation E: 15b = 21
Answer:
Equation E, Equation B, Equation C are equivalent
Step-by-step explanation:
Given Equation:
0.6 + 15b + 4 = 25.6
Check all that applies
Equation A: 15b + 4 = 25.6
0.6 + 15b + 4 = 25.6
15b + 4 = 25.6 - 0.6
15b + 4 = 25
NOT CORRECT
Equation B: 15b + 4 = 25
0.6 + 15b + 4 = 25.6
15b + 4 = 25.6 - 0.6
15b + 4 = 25
CORRECT
Equation C: 3(0.6 + 15b + 4) = 76.8
0.6 + 15b + 4 = 25.6
Multiplying both sides by 3
(0.6 + 15b + 4) ×3 = 25.6 × 3
(0.6 + 15b + 4) ×3 = 76.8
CORRECT
Equation D: 15b = 25.6
0.6 + 15b + 4 = 25.6
NOT CORRECT
Equation E: 15b = 21
0.6 + 15b + 4 = 25.6
15b = 25.6 - 0.6 - 4
15b = 21
CORRECT
Equation E, Equation B, Equation C are equivalent
200x52-77=
please answer correct
y=
A.39
B.51
C.37
Find what y is through the photo
10. The tickets to a ballet cost either $25 or $50. A total of 1,250 tickets, worth $50.000, tickets, which system of linear equations can be used to find the number of each type of ticket sold? 25x + 50y = 50000 x +y = 1250 A. 25x + 50y = 1250 x+y = 50000 B. 25x + x = 50000 50y + y = 1250 C. 25x + 50x = 50000 y +y = 1250 D.
Answer:
25x + 50y = 50,000
x + y = 1250
Step-by-step explanation:
Let x = number of $25 tickets
Let y = number of $50 tickets
Equation of the the money of ticket sales:
25x + 50y = 50,000
Equation of the number of tickets:
x + y = 1250
Answer:
25x + 50y = 50,000
x + y = 1250
Round 347−−−√ to the nearest hundredth.
Answer:300
Step-by-step explanation:
The teacher baked a batch of muffins there's are 16 muffin in a batch she ate 1/4 of the batch she baked two more batches how many muffins does she have now
Answer:
Step-by-step explanation:
she ate 1/4 of the batch = 16/4 = 4 muffins were left
she baked two more batches = 16* 2 = 32
4 + 32 = 36 muffins
or
no. of muffins in a batch: 16
no of muffins he ate = 1/4 of 16
= 4
no. of muffins left: 16 - 4= 12
his mother then baked 2 more batches= 16+16
=32
no. of muffins left = 32+12 = 44
dont forget to mark this as the branliest answer if it helped you!
#HAVE FUN!! with muffins!!!
#GautamPro
Answer:
44
Step-by-step explanation:
16-4 equals 12 each batch equals 16. 16 times 2 equals 32 plus 12 equals 44
Help look at picture attached I will mark brainliest
Answer:
angle 3=145
Step-by-step explanation:
1 is complementary meaning add up to 90 so if 1 is 55 then 90-55=35. m<2=35
if 2 and 3 is supplementary meaning adds up to 180 then 180-35=145
what is the greatest factor (GCF) of 66 and 22
Answe
22 is your answers ....
9x + 3y - 7x - 8y =
Answer:
2x-5y
Step-by-step explanation:
9x-7x= 2x
3y-8y= -5y
Answer:
....................
Step-by-step explanation:
Last year, Deanna bought 225 lamps when customers needed 250 lamps. This year, she bought 300 lamps but only sold 200 lamps. Which set of statements about the percent errors for the two years is true?
Answer:
b.
Step-by-step explanation:
the percent error for this year was higher. deanna estimated better last year.
hope it helps!
Cherise plays basketball. The list shows the number of points she scored in each of her last six games. 12. 16. 10. 26, 14, 12 What is the mean number of points Cherise scored? O A 12 B. 13 C. 15 D. 16
anser:15
Step-by-step explanation:first add 12+16+10+26+14+12=90divide by how mnay numbers in this case 6 90 divied=15
Mean of given dataset is 15.
What is mean?It is the sum (total) of all the values in a set of data, such as numbers or measurements, divided by the number of values on the list is called mean.
Given dataset
12, 16, 10, 26, 14, 12
Mean = [tex]\frac{12+16+10+26+14+12}{6}[/tex]
= [tex]\frac{90}{6}[/tex]
= 15
Mean of given dataset is 15.
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Pls help me and I’ll give brainliest
Answer:
-2
Step-by-step explanation:
do you need an walk through?
I need help with the question in the attached image.
Answer:
Third choice
Step-by-step explanation:
We can subtract 4r by r, and that gives 3r. 3 subtracted by negative 3 gives 6 (Remember, 2 negatives is a positive!). This gives 3r+6
Brainlyp pls!
The number of people call 911 on March 25th?
A) continuous
B) discrete
C) categorical
Answer:
I think the answer is continuous hope this helps
Step-by-step explanation:
Also got subscribe to my YT channel BlxeVxbes
PLEASE HELP!!!
The ratios 12:24, 15:30, and 18:36 form a pattern of equivalent ratios in the multiplication table below.
A multiplication table.
Which method can find other equivalent ratios for this pattern?
Multiply 3 and 6 by the same factor, and write the products as a ratio.
Multiply 2 and 8 by the same factor, and write the products as a ratio.
Multiply 4 and 6 by the same factor, and write the products as a ratio.
Multiply 1 and 8 by the same factor, and write the products as a ratio.
Answer:
A
Step-by-step explanation:
Trust me on this.
Can I have brainlest, also I hope you do well!
Answer:
Multiply 3 and 6 by the same factor, and write the products as a ratio.
Step-by-step explanation:
because i have dun it
3) FUNDRAISING At a fundraising event, $10 is donated for every mile ran.
Write a function to represent the situation. *
A. O d-10m
B. O d= m + 10
C. O d=10m +10
D. O dem
Answer:
A
step-by-step explanation:
"d" I take it means donations or amount donated so if it's 10 per mile ran or 10m then you would write the equation as d=10m so it's A. Hope You found this helpful :D
A function that represents the situation is d = 10m.
The correct option is A.
What is a function?A relation between a collection of inputs and outputs is known as a function. A function is a connection between inputs in which each input is connected to precisely one output. Each function has a range, co-domain, and domain.
Given:
At a fundraising event,
$10 is donated for every mile ran.
Let m be the number of miles.
And d is the total donation.
So, the function,
d = 10m
Therefore, d = 10m is the function.
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Convert 1.42 m to customary units
Answer:
the answer is
Step-by-step explanation:
1.553 yards
1.42 m to customary units is 1.553 yards.
What is customary units?On the other hand, "customary" US units have relationships that are not powers of 10;
1 ft = 12 in
1 yd = 3 ft
1 rod = 5.5 yd
1 chain = 4 rods
1 furlong = 10 chains = 220 yards
1 mile = 8 furlongs = 1760 yards = 5280 feet
The point of this exercise is to give you an appreciation of the fact that metric length units are related by powers of 10 means units conversion generally consists only of adjustment of the decimal point, or the power of 10 (for numbers in scientific notation).
For example;
1 cm = 10 mm
1 dm = 10 cm
1 m = 10 dm = 100 cm = 1000 mm
1 km = 1000 m
The prefixes m, c, d, k are standard SI prefixes applicable to other SI units as well.
Therefore, the conversion from one unit of US customary measure to another involves conversion factors that are not always easily remembered.
Hence, 1.42 m to customary units is 1.553 yards.
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When are two lines parallel?
A. when the slopes are positive
B. when the slopes are equal
C. when the slopes are opposite
D. when the product of the slopes is –1
Answer:
B
Step-by-step explanation:
A bakery made 140 buns. A restaurant bought 80 of the buns. The remaining buns were put into bags of 4 buns each. How many bags of buns
are there?
Answer:
A bakery made 140 buns. A restaurant bought 80 of the buns. The remaining buns were put into bags of 4 buns each. How many bags of buns
are there?
Answer:
30, 30 bags of buns your welcome
HELP WILL MARK BRAINLIEST
Answer:
i think d
Step-by-step explanation:
im so sorry if this is wrong but im almost positive its d
please mark brainliest
Interpreting Expressions
Breanna thought of a number, added 5 to it, and then multiplied her answer by 3. She got a final number of 21. What was her starting number?
Answer:
r u going to be a little late to the party but I
let f(x)=3x+5 and g(x)=x^2 find (f-g)(x)
Answer:
(f - g)(x) = -x² + 3x + 5
General Formulas and Concepts:
Pre-Algebra
Equality PropertiesAlgebra I
Function NotationCombining Like TermsStep-by-step explanation:
Step 1: Define
f(x) = 3x + 5
g(x) = x²
(f - g)(x) is f(x) - g(x)
Step 2: Find (f - g)(x)
Substitute: (f - g)(x) = 3x + 5 - x²Rewrite: (f - g)(x) = -x² + 3x + 5Which statement best describes the graph
Answer: Its the first one
Step-by-step explanation:
I did it
What happens to the graph of f(x) when it is multiplied
by a number between - 1 and 0?
Samuel orders four DVD's from an online music store. Each DVD costs $9.99. He has a 20% discount code and sales tax is 6.75%. What is the total cost of his order? Please helpppp
Sterling got money for his birthday. He spent half of his money on a coat, $74 on sneakers, $42 for a pair of shoes, and had $77 left after shopping. How much money did Sterling get for his birthday?
Answer:
$112
Step-by-step explanation:
x/2+42= 77
x/2 = 35
x=70
70+42= $112
If Sam & Jack have 3 apples and Sam gives two away BUT Jack buys two more apples, how many apples does Sam & Jack have now?
GIVE RIGHT ANSWER PLEASE DON’T GUESS
Answer:
3!!!!
Step-by-step explanation: