Answer:
a) [tex]3c^2-11c+12[/tex]
b) 3 terms in simplified expression
c) 3 is leading coefficient
d) 2 is the degree of simplified expression
Step-by-step explanation:
We need to perform subtraction of [tex](5c^2 - 3c + 9) - (2c^2+ 8c - 3)[/tex]
a) What did you need to distribute to the second polynomial to rewrite?
We need to multiply - sign with the terms inside the bracket.
Perform subtraction. Then, answer:
[tex](5c^2 - 3c + 9) - (2c^2+ 8c - 3)\\=5c^2 - 3c + 9 - 2c^2- 8c +3\\Combining \ like \ terms\\=5c^2-2c^2-3c-8c+9+3\\=3c^2-11c+12[/tex]
b) How many terms in the simplified expression?
There are 3 terms in the simplified solution [tex]3c^2-11c+12[/tex]
c) What is the leading coefficient of the simplified expression?
The leading coefficient is the coefficient with highest degree. The highest degree is 2 so, leading coefficient is 3
d) What is the degree of the simplified expression?
The highest degree is considered as the degree of simplified expression. In our case [tex]3c^2-11c+12[/tex] the highest degree is 2
Stephan borrowed $125 to buy an electric scooter. The function f(x) = 125 minus 12.5x can be used to represent the amount of money Stephan owes on the loan, where x is the number of weeks that Stephan pays towards the loan.
Answer:
Stephan adds $12.50 per week to the amount he owes on the loan and will pay back the loan in 125 weeks.
Step-by-step explanation:
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Based on the work shown on the left, what is the simplest form of StartRoot StartFraction 250 c cubed Over 9 d Superscript 6 Baseline EndFraction EndRoot ?
Answer:
It's A
Step-by-step explanation:
The simplest form of √250c³/√9d⁶ is 5c√ 10c/3d³
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation or expression is √(250c³/9d⁶)
StartRoot StartFraction 250 c cubed Over 9 d Superscript 6 Baseline EndFraction EndRoot
This can be written as √250c³/√9d⁶
The numerator 250c³ can be written as twenty five times of c square times of ten times of c 25c²×10c and denominator can written as 3d³
√ 25c²×10c/3d³
The square root of 25 is 5
5c√ 10c/3d³
Hence, the simplest form of √250c³/√9d⁶ is 5c√ 10c/3d³
To learn more on Equation:
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PLS HELP I REALLY NEED HELP PLS!
When you add 3/10 and 9/10 together, what is the sum? (In lowest terms)
Answer:
1 1/5 or 12/10
Step-by-step explanation:
310+910=?
The two fractions have like denominators so you can add the numerators.
Then:
3+910=1210
This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 12 and 10 using
GCF(12,10) = 2
12÷210÷2=65
The fraction
65
is the same as
6÷5
Convert to a mixed number using
long division for 6 ÷ 5 = 1R1, so
65=115
Therefore:
310+910=1 1/5
Hope this Helps!
Answer:
1 1/5
Step-by-step explanation:
trust me i did the test and got a passing grade
10. A certain strain of bacteria occurs in all raw milk. Tests of uncontaminated raw milk conducted by the Health Department found that the bacteria count per milliliter is normally distributed with a mean of 3500 and standard deviation of 300. a) What is the probability of finding a bacteria count of between 3200 and 3400 in a milliliter of raw milk? b) What percentage of the uncontaminated raw milk has a bacteria count per milliliter between 3200 and 3400? c) For this normal distribution, what is the percentage of the area under the normal curve for a bacteria count per milliliter less than zero? As bacteria count cannot be less than 0, is this small enough to disregard when claiming that the bacteria count per milliliter is normally distributed? Explain your answer.
Answer:
a) 0.21078
b) 21.078%
Step-by-step explanation:
We solve using z score formula
z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.
Mean of 3500 and standard deviation of 300.
a) What is the probability of finding a bacteria count of between 3200 and 3400 in a milliliter of raw milk?
For x = 3200
z = 3200 - 3500/300
z = -1
Probability value from Z-Table:
P(x = 3200) = 0.15866
For x = 3400
z = 3400 - 3500/300
z = -0.33333
Probability value from Z-Table:
P(x = 3400) = 0.36944
The probability of finding a bacteria count of between 3200 and 3400 in a milliliter of raw milk
P(x = 3400) - P(x = 3200)
= 0.36944 - 0.15866
= 0.21078
b) What percentage of the uncontaminated raw milk has a bacteria count per milliliter between 3200 and 3400?
We convert the answer in part a) to percentage
= 0.21078 × 100
= 21.078%
Which is the best description for the graph below?
Answer:
The graph decreases everywhere.
Step-by-step explanation:
you use the bottom line first, so start from the bottom and go up to the 3. it's opposite to trick you. think of it as a 9 going to a 3.
Please help:) Due soon!:)
Is it:
A: y-4= -2/3(x+3)
B: y-2= -2/3(x-6)
C: y+4= 2/3(x-3)
D: y+6= 2/3(x-2)
Lily was shopping and saw the following prices on different packages of the same item as shown in the diagram below
Answer:
Package B has a unit rate of $1.50 per bag
Step-by-step explanation:
its the correct answer if its wrong deal with it
i need help if right I will give you brainiest
Answer:
[tex]5\sqrt{5}i[/tex] or D
Step-by-step explanation:
[tex]\sqrt{-125} \\\\\mathrm{Apply\:radical\:rule}:\quad \sqrt{-a}=\sqrt{-1}\sqrt{a}\\\\\sqrt{-125}=\sqrt{-1}\sqrt{125}\\\\=\sqrt{-1}\sqrt{125}\\\\\mathrm{Apply\:imaginary\:number\:rule}:\quad \sqrt{-1}=i\\\\=\sqrt{125}i\\\\=5\sqrt{5}i[/tex]
Sue made a quilt pattern from 16 congruent pieces of cloth shaped like isosceles right triangles. She cut the pieces so that the legs of each triangular piece are 6 inches
long
Answer:
Option (D)
Step-by-step explanation:
Sue made a quilt pattern comprising 16 congruent isosceles right triangles.
She cuts the pieces of triangle having each leg = 6 inches
By applying Pythagoras theorem in isosceles triangle,
(Hypotenuse)² = (leg 1)² + (leg 2)²
x² = 6² + 6²
x² = 72
x = √72
x = 8.485
x ≈ 8.5
Option (D) will be the correct option
Answer:
The answer is D. (8.5)
Step-by-step explanation:
what is the perimeter of this figure? (3.14 for pi)**round ur answer to the nearest whole number
nearest is 3.2 that is with whole bumber
The cost of a pencil box is $2.50. The function f(x) = 2.5x gives the cost of x pencil boxes. Identify the domain, range, and graph of this function.
Answer: hey want to talk
Step-by-step explanation:
No estudo da circunferência é muito importante diferenciar diâmetro e raio, muito erros são cometidos pela troca desses conceitos e consequentemente a troca de seus valores. A medida do comprimento de uma circunferência é determinada pela fórmula C = 2 π. R , ou seja comprimento da circunferência é igual ao dobro do valor do π multiplicado pelo valor do raio dessa circunferência. Calcule qual a medida em cm de uma circunferência: a) cujo diâmetro mede 10 cm. b) cujo raio mede 12 cm. c) cujo diâmetro mede 2 cm. d) cujo raio mede 5 cm.
Explicação passo a passo:
A circunferência de um círculo é expressa como mostrado;
C = 2πR
R é o raio
Em termos de diâmetro;
C = πD
D é o diâmetro
a) Se o diâmetro for 10cm
Circunferência C = π (10)
C = 10 (3,14)
C = 31,4cm
b) Se o raio for 12cm
C = 2πR
C = 2π (12)
C = 24π
C = 24 (3,14)
C = 74,36cm
c) Se o diâmetro for 2cm
Circunferência C = π (2)
C = 2 (3,14)
C = 6,28cm
d) Se o raio for 5cm
C = 2πR
C = 2π (5)
C = 10π
C = 10 (3,14)
C = 31,4cm
Problem
The formula for the remaining volume of fuel in a car's tank is I-E\cdot DI−E⋅DI, minus, E, dot, D, where III is the initial volume of fuel, EEE is the fuel efficiency, and DDD is the distance traveled.
Carson drove a distance of 120120120 kilometers. He initially had 303030 liters of fuel, and his car's fuel efficiency is 100100100 cubic centimeters per kilometer.
What calculation will give us the estimated volume of fuel that remains in Carson's tank by the end of the drive, in liters?
Answer:
18 litresStep-by-step explanation:
The formula for the remaining volume of fuel in a car's tank is expressed as;
V = I - E.D
where;
I is the initial volume of fuel,
E is the fuel efficiency, and;
D is the distance traveled.
Given
I = 30 litres
1m³ = 1000L
x = 30L
x = 30/1000
x = 0.03m³
I = 0.03m³
E = 100cm³/km
E = 100*10^-6m³/km
E = 10^-4m³/km
E = 10^-4m³/1000m
E = 10^-7m²
D = 120km
Convert km to metres
D = 120km = 120,000m
Substitute the results into the formula;
V = I - E.D
V = 0.03 - (10^-7)(120,000)
V = 0.03 - 0.012
V= 0.018 m³
Convert 0.018 m³ to litres
Since 1 m³ = 1000L
0.018 m³ = y
cross multiply;
y = 1000 * 0.018
y = 18 litres
Hence volume of fuel that remains in Carson's tank by the end of the drive is 18 litres
A college student takes out a $7,500 loan from a bank. What will the balance of the loan be after one year (assuming the student has not made any payments yet):
if the bank charges 5.3% interest each year?
Answer:
the balance of the loan be after one year is $7897.5.
Step-by-step explanation:
Find x when f(x) = 32.
Answer:
Step-by-step explanation:
i think you are forgetting to put the equation into your question because you cannot find x if y=32 x would be non existent
Can somebody explain how to do this
Answer:
The answer is 46.
Step-by-step explanation:
First, you will have to add up both functions in order to find the new expression for (g + f)(a) :
g(a) + f(a) = (g + f)(a)
(g + f)(a) = 3a + 3 + 2a - 2
(g + f)(a) = 5a + 1
Next, you have to substitute a = 9 into the function :
(g + f)(9) = 5(9) + 1
(g + f)(9) = 46
Will give brainliest.
Fifth-grade students plant a class garden. They plant 7 1/6 rows of tomatoes and 3 1/2 rows of carrots. How many fewer rows of carrots than rows of tomatoes do the students plant?
Answer:
3 2/3
Step-by-step explanation:
7 1/6 - 3 1/2= 3 2/3
please help. i would rly appreciate it. :/
Hi can someone please help me with this question!!!!! Please!
I will mark you brainlest
Answer:
C. 40
Step-by-step explanation:
Start with multiplying the 120 students who took the computing and networking courses with 1160 hours. 120 times 1160 = 139200
That means that 139200 hours of the 164800 hours are by the students who took computing and networking classes, so now we have to subtract.
164800 - 139200 = 25600
Now divide 25600 with 640, because 25600 is the hours for the business course. 25600/640 = 40
So there's 40 students
help please I do not understand but could someone tell me what to do??
Answer:
the answer is 4
Step-by-step explanation:
you plug in the 8 into the y variable. Then you divide 8 by 2. The answer comes out as 4.
I need help for algebra 1, solve for the variable
2x-y=y
(solving for x)
Answer:
x = y
Step-by-step explanation:
Given
2x - y = y ( add y to both sides )
2x = 2y ( divide both sides by 2 )
x = y
Write the equation of the line that goes through (-2, 0) and (4,3).
A.) y=-1/2x
B.) y=1/2x+1
C.) y=2x+1
D.) y=x+1/2
Answer:
B
Step-by-step explanation:
I just put in in the desmos graphing calculator
5% of 60 is what number?
a . 6
b . 5
c . 3
d . 60
Answer: The answer is 3
Step-by-step explanation:
A ticket for the spring musical is $4.50. Which table show the relationship between the number of tickets purchased and the total price paid?
Answer:
mwe.n pa konen men tenyen ooooo
State whether the relation is a function: {(1,2), (2,4),(-3,-6), (0,0)). Then
explain why.
Answer:
[tex]\boxed {\boxed {\sf Yes}}[/tex]
Step-by-step explanation:
According to the definition of a function, each input must have one output.
The input is x and the output is y. Basically, for every x there can only be one y.
The relation given is:
{ (1,2) , (2,4), (-3,-6), (0,0)}
To check if it's a function, make sure each x only appears once.
The x is the first number in a point.
We see that each x (1,2,-3,0) is only listed once, so this must be a function.
Another way to check is by graphing the points and using the Vertical Line Test.
If a vertical line is drawn and crosses the function more than once at any given part of the line, it isn't a function.
The points pass the vertical line test, so this is a function.
Constant of proportionality characteristics what are some?
Answer: The constant of proportionality is the ratio between two directly proportional quantities.
Two quantities are directly proportional when they increase and decrease at the same rate.
Step-by-step explanation:
A farmer's market is selling peaches for $2.00 a pound. If you buy 2 pounds, you save 10% on each pound. How much does it cost to get 2 pounds of peaches?
Answer:
3.60
Step-by-step explanation:
can someone please help me winner gets (Brainllest)
Answer:
For the first one wouldnt it be like:
ht=10(r)+5
Step-by-step explanation:
The sum of five times a number and seven is 107. Find the number.
Answer:
20.
Step-by-step explanation:
Let the number be x.
5x + 7 = 107
5x = 107 - 7
x = 100 / 5
x = 20
Hope this helped!