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Complete Question
Students in a pre-algebra class are given the polynomial 12x²y - 6xy +18y² and told to factor out the greatest common factor.
Which student has made the correct choice? (1 point)
a) Delia chose 3y because she said that it was a factor of every term.
b) Pedro chose y because he said that the greatest common factor can be found only by looking at the variable terms.
c) Mike chose 6y because he said that it was the largest factor of every term. d) Marisol chose 6 because she said that it was the only greatest common factor in each term.
Answer:
c) Mike chose 6y because he said that it was the largest factor of every term.
Step-by-step explanation:
Step 1
Identify the GCF of the coefficients.
12x²y - 6xy + 18y²
Coefficients are :
12, 6, 18
The Greatest Common Factor for 12, 6, 18 =
The factors of 6 are: 1, 2, 3, 6
The factors of 12 are: 1, 2, 3, 4, 6, 12
The factors of 18 are: 1, 2, 3, 6, 9, 18
Then the greatest common factor is 6.
Step 2
Identify the GCF of the variables.
x²y , xy, y²
The GCF of these variables is y
Step 3
Combine to both GCF's to obtain the GCF of the expression.
= 6 × y
= 6y
The Greatest Common Factor for the expression 12x²y−6xy + 18y² is 6y
Step 4
We factorise
= 12x²y−6xy + 18y²
= 6y(2x² - x + 3y)
Therefore, Option c) Mike chose 6y because he said that it was the largest factor of every term is the correct option.
Mike is correct.
i need help with answering this question -7/12 + 1/2 =
Answer:
[tex]-\frac{1}{12}[/tex]
Step-by-step explanation:
Answer:
[tex]\frac{-1}{12}[/tex]
Step-by-step explanation:
[tex]\frac{-7}{12}[/tex] + [tex]\frac{1}{2\\}[/tex]
[tex]\frac{-1}{12}[/tex]
A teacher is researching the effect of what type of font she uses on a test and the scores on the test to see if there is a
relationship. She randomly gives half her classes tests with Times New Roman font and half her classes tests with Comic
Sans font and then tracks their test scores for a semester. Which is this an example of?
-experiment
-simple random sample
-observational study
-convenience study
Answer:
Experiment
Step-by-step explanation:
By going out of her way to make different tests and giving it to different portions of the class, she's creating and running an experiment.
if f(x)=2x^2-5
and
g(x)=5x+7
find
g(f(x))=___x^2+___
Answer:
work shown and attached
Given ABCE is a rectangle, find the length of AD
Help me
Answer:
AD = 10
Step-by-step explanation:
It's given that ABCE is a rectangle.
Therefore, measure of opposite sides of the rectangle will be equal.
AB = EC
AB = ED + DC
12 = ED + 4
ED = 8
Measure of side AE = 6
Since, measure of interior angles of a rectangle = 90°
Therefore, ΔEAD will be a right triangle.
By Pythagoras theorem,
AD² = AE² + ED²
= 6² + 8²
AD = [tex]\sqrt{36+64}[/tex]
= [tex]\sqrt{100}[/tex]
= 10
Therefore, measure of side AD = 10 units
i need help with this answer
Answer:
Im not sure but lets play warzone
Step-by-step explanation:
At the local aquarium,one fish tank contained 1,080 clown fish and 60 parrot fish,for a total of 1,140 fish all together. What is the most reduced ratio of total fish to parrot fish
-16 = -5x + x
please help
Answer:
x = 4
Step-by-step explanation:
-16 = -5x + x --> Collect like terms --> -16 = -4x -->
swap the sides of the equation 4x = -16 -->
Divide both sides of the equation by -4 --> x =4
Two lines and a ray intersect at a
point as shown in the diagram
Write and solve an equation to find the value of 2 Find the measure of
DAE
110°
A
D
(+4)
30
E
Answer:
m<DAE = 80°
Step-by-step explanation:
Given that m<CAB = 110°,
m<DAE = (x + 4)°,
m<EAF = 30°,
m<EAF + m<DAE = m<DAF (angle addition postulate)
30° + (x + 4)° = m<DAF (substitution)
(34 + x)° = m<DAF
<DAF and <CAB are vertically opposite angles. Vertically opposite angles are said to be congruent. Therefore:
m<DAF = m<CAB
(34 + x)° = 110° (substitution)
The equation above can be used to solve for x as follows:
34 + x = 110
x = 110 - 34 (Subtracting 34 from both sides)
x = 76
m<DAE = (x + 4)°
Plug in 76, to replace x
m<DAE = 76 + 4
m<DAE = 80°
I need help
[tex] - 3n + 7 + 2n - 8[/tex]
this is due today
Please help me with this question
Answer: C
Step-by-step explanation:
To find f(g(x)), you plug in g(x) into f(x).
[tex]f(g(x))=\sqrt{(8x-12)+8}[/tex] [combine like terms]
[tex]f(g(x))=\sqrt{8x-4}[/tex] [factor]
[tex]f(g(x))=\sqrt{4(2x-1)}[/tex] [square root of 4]
[tex]f(g(x))=2\sqrt{2x-1}[/tex]
Now, we know that the answer is C.
three solutions to x ≥ 7
Answer:
x=7
x=8
x=9
(any number greater than or equal to 7)
Step-by-step explanation:
A number between 1 and 3 is chosen 30 times. Results are shown in the table below. What is the experimental probability of picking a number that is NOT odd? *
10 points
Answer:
I'm trying to find it out to
Step-by-step explanation:
(20 points & brainliest)
Answer:
Perimeter: 42cm
Area: 66cm^2
Step-by-step explanation:
Answer:
P42 cm - P26 cm = 16 cm + 13 cm = P = 26 cm
Step-by-step explanation:
Those are two rectangles. One total and deduct the missing piece.
P=2(l+w)
First: Total 12 by 9 rectangles = P42 cm
Second: Lengths = 12 -5 = 7 and 9-3 = 6 = P=26
Thirs: add the missing lengts! 7 + 6 cm
i can’t figure this out
Answer:
B: 2 1/3 > 2 1/6
is the correct answer
A,C, and D are false answers and are incorrect
Answer:
2 1/3 > 2 1/6
Step-by-step explanation:
5/6 < - 1/3
2 < -2 1/2
negative cannot be bigger than positive
1 1/4 > 1 1/3 if you divide them you would get 1.25 > 1.333333, so 1 1/4 not bigger than 1 1/4
P Mar
1 The table shows pairs of figures that are related to each other in the same way.
Figure 1 Figure 2
Oo
Which conjecture best describes how the second figure in each set is related to the first?
A) Figure 2 is always a horizontal reflection of Figure 1.
B) Figure 2 is always a vertical reflection of Figure 1.
C) Figure 2 is always a 90° clockwise rotation of Figure 1.
D) Figure 2 is always a 180° rotation of Figure 1.
could you help me convert 10 miles to feet?
Answer:
52800 feet
that's the answer.
Answer:
The answer is
52800 feetStep-by-step explanation:
To convert a distance from miles to feet we use the conversion
1 mile = 5280 feetFrom the question the value to be converted is 10 miles
We have
if 1 mile = 5280 feet
Then 10 miles = 10 × 5280
We have the final answer as
52800 feetHope this helps you
which is longer, 12m or 13yd?
Answer:
13 yards
Step-by-step explanation:
Answer:
12m
Step-by-step explanation:
12 meters . a meter is approx. 4" longer than a yard, x 12 =48 inches (or thereabouts). a yard is 36 inches long therefore 12 meters is longer
Evaluate 8/2
please help! very much appreciated if so
the answer would be 4/four!
Your answer would be four
Help please ! I don’t get it
at:5
ts:11
oa:5
hope this helps you!
A class has 30 boys and 20 girls. The average age of
boys is 11 yrs and girls 12 What is the
average age of the whole class."
x = total age of boys
x / 30 = 11yrs
Multiply both sides by 30
x = 330
y = total age of girls
y / 20 = 12
Multiply both sides by 20
y = 240
(240 + 330) / 50 = 11.4 yrs
The average age of the whole class = 11.4 years.
A class has 30 boys and 20 girls.
The average age of boys and girls is 11 and 12 respectively.
To Find:The average age of the whole class.
Solution:Boys = No. of boys × Age
Boys = 30 × 11 = 330
Girls = No. of girls × Age
Girls = 20 × 12 = 240
Average Age = Boys + Girls / Total no. of boys and girls
Average Age = 330 + 240 / 50
Average Age = 570 / 50
Average Age = 11.4
Answer:Average age of of the whole class is 11.4 .
Is 4 a solution of 5m + 7 = -3? Justify your . answer.
Answer:
The equality is false because one side is positive and the other side negative.
Step-by-step explanation:
5(4)+7
Multiply the numbers 4 and 5
20
20+7
add the numbers 20 and 7
27[tex]\neq[/tex]-3
so the number 4 is not the solution
A class has 50 students. 20 students are playing basketball and rest are playing volleyball. The percent of the class playing basketball is?
a) 20 percent
b) 40 percent
c) 60 percent
Answer:
60 percent
Step-by-step explanation:
so 50 is half of 100,right? so that means you can just multiply everything by 2 to make it easier. so then there are 100 students and 40 play basket ball. so that means 40 percent play basketball and that only leaves 60 remaining :)
PLEASE HELP ITS EASY suppose you are converting x kilograms to ounces. will the number of oz be less than or greater than x?
Answer:
greater
Step-by-step explanation:
greater beacause 1 kilo =35.274 ounce
A boy rolls down a hill on a skateboard. At time = 4 seconds, that boy has rolled 6 meters from the top of the hill. At time = 7 seconds, the boy has rolled to a distance of 30 meters. What is his average speed?
Answer:
His average speed is 4.75 m/s
Step-by-step explanation:
Here, we are interested in calculating the average speed of the boy.
At time t = 4 seconds, total distance traveled = 6 meters
The average speed here is distance/time = 6/4 = 1.5 m/s
Now at time 30 7 seconds , he has rolled 30 meters
What this actually means is that for the next 3 seconds after the initial 4 seconds, he rolled a total distance of 30-6 = 24 meters. Hence, he rolled 24 meters in the next three seconds
So mathematically, his average speed for the second part of the rolling is 24/3 = 8 meters per second
Conclusively therefore , his average speed will be (1.5 + 8)/2 = 9.5/2 = 4.75 meters per second
What's the greatest common factor of 26 and 104 (gcf)
do number 7 and 8 please
7) [tex]\sqrt[3]{64} = \sqrt[3]{4^3} = 4[/tex]
8) [tex]\sqrt[3]{216} = \sqrt[3]{6^3} = 6[/tex]
Suzuki starts her hike at 270 feet below sea level. When she reaches the end of the hike, she is still below sea level at -135 feet. What was the change in elevation from the beginning of Suzi's hike to the end of the hike?
Answer:
135feet
Step-by-step explanation:
Evaluate the expression for x = -3 and y = 4
3x2 – 2xy
Answer: -36 is your answer
Step-by-step explanation:
Which are equivalent ratios to 7:13?
Check all that are true.
D 21:39
72:128
28:52
14:26
36:48
Keyani went to the store with a $50 bill. She bought three pounds of turkey for $7.25 per
pound, and a certain number of packs of bread rolls, r, for $3.50 per pack. She receives $10
in change