The complete factorization of 21a² + 28ab is 7a(3a + 4b)
Factorization is an arithmetic operation used in resolving an expression into factors in which when the factors are being multiplied together, the original expression can be derived. They produce factors that can be divided into the original expression.
Given that:
= 21a² + 28ab
here, we will look for a factor that if divide in both 21 and 28, there won't be any remainder. The factor is 7;
So, we have:
= 7(3a² + 4ab)
= 7a(3a + 4b)
Therefore, the complete factorization of 21a² + 28ab is 7a(3a + 4b)
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Please help please help
Answer:
1/9 is the correct answer Hope this helps!!
Step-by-step explanation:
Answer:
1/9 or .111111111111111
Step-by-step explanation:
The surface area Q of a certain shape is three times the product of u and the square of its width w.
Answer:
Q = 3uw
Step-by-step explanation:
Add. (f + 3) + (2f + 8)
Answer:
3f +11
Step-by-step explanation:
[tex](f + 3) + (2f + 8)[/tex]
Open the bracket
[tex]f + 3 + 2f + 8[/tex]
Group like terms
[tex]f + 2f + 3 + 8 \\ [/tex]
Simplify
[tex]3f + 11[/tex]
Answer:
it should be 3f+11
Step-by-step explanation:
I need help on this question (6w^8)^3. must have only one exponent
Answer:
[tex]216w^{24}[/tex]
Step-by-step explanation:
[tex]\left(6w^8\right)^3[/tex]
[tex]6^3\times \left(w^8\right)^3[/tex]
[tex]216\times \left(w^8\right)^3[/tex]
[tex]216w^{8\times3}[/tex]
[tex]216w^{24}[/tex]
Answer:
6w^24
Step-by-step explanation:
(6w^8)^3
6w^8*3
6w^24
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The sum of three numbers is 82 The second number is 3 times the third. The third number is 8 more than the first. What are the numbers?
Answer:
22 46 15
Step-by-step explanation:
i looked it up because i was even confused. but i think this is right. hope this helps.
Some number added to 17
Question 10 of 10
Which of the following graphs represents the equation y = 3x + 2?
A
B
с
51% (1.6)
5+
(2.6)
5
5
1 (0, 1)
(0, 2)
(0, 2)
(-1.0)
5
5
-5
1-1,-1)
0.-2)
-5+
-5
CranbA
Answer:
You haven't attached a picture but this is what your line should look like
Step-by-step explanation:
For this equation you simply have to graph it.
First, you have to remember that these equations follow a formula: y=mx+b. m is the slope of you line and b is the y-intercept.
Next, you need to graph it. First, graph your b, in this case 2. You would go up 2 on you graph (graph (0,2)). Then, you would graph your slope which is 3.
Now, remember that slope equals y/x, so think of the number 3 being like 3/1. You would start at (0,2) and go up 3 points in the graph, then over 1 point (graph where you end up). You repeat that from each new point you make until you have enough points to create a straight line.
Hope this helps a bit,
Flips
The value of graph of function y = 3x + 2 is shown in figure.
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
We have to given that;
The equation of line is,
y = 3x + 2
Now, The value of y - intercept of the equation is,
⇒ 2
⇒ (0, 2)
Thus, The value of graph of function y = 3x + 2 is shown in figure.
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The expression 1/x+y is equal to which quantities
Step-by-step explanation:
exponents is the awnser
Solve for p in the literal equation 8p+5r=q
8p + 5r = q
We have to isolate the variable p. Let's begin by subtracting 5r from both sides.
8p = q - 5r
Divide both sides by 8
p = [tex]\frac{q - 5r}{8}[/tex]
[tex]8p + 5r = q[/tex]
Subtract 5r on both sides of the equation.
[tex]8p = - 5r + q[/tex]
Divide both sides of the equation by 8.
[tex]p = \frac{ - 5r + q}{8} [/tex]
help help help help
Answer:
combine like terms
Step-by-step explanation:
Decide whether or not the matrices are inverses of each other.
[6 - 5]
[ -3 5 ] and [1/3 1/3 ]
[ 1/5 2/5]
A) No B) Yes
Answer:
Yes, the matrices are inverses of each other.
Step-by-step explanation:
Kindly check attached picture for the organized question and answer
What is the answer to x to the zero power
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{1}}}}}[/tex]
Step-by-step explanation:
The value of the term having the index 0 equals to 1.
So, [tex] \sf{ {x}^{0} }[/tex] = 1
Hope I helped!
Best regards! :D
If h(x) = −x − 10, find h(−2). (1 point)
−20
1.6
−1
0
Answer:
-8
Step-by-step explanation:
substitute X with -2 across the equation
-(-2) - 10
minus times minus gives plus, hence positive 2 minus 10
+2 - 10
= -8
6th grade math please help thx!!
Which statement is true about the end behavior of the graft function as the X values goes to positive infinity the functions value goes to negative infinity
A random sample of five Galaxy 8 smartphones is selected from the production line after final assembly, and the result of the weight control measurement is (in grams) 155.1, 154.8, 155.5, 155.3, and 154.6.What are the average weight, its uncertainty (i.e. the standard deviation of the mean), and the fractional uncertainty
Answer:
a. Mean = 155.1 grams
b. Standard deviation = 0.37
c. Fractional uncertainty = 0.074
Step-by-step explanation:
a. Average weight
This is same as the mean weight;
Mathematically, that would be; sum of the weights/ the number of weights
= (155.1 + 154.8 + 155.5 + 155.3 + 154.6)/5 = 775.3/5 = 155.06 which is approximately 155.1
b. Standard deviation
Mathematically; we calculate that using the formula;
√{(x-mean)^2/(N-1)}
Please check attachment for for the complete breakdown of this
c. Fractional uncertainty
= Standard deviation/number of measurements = 0.37/5 = 0.074
-√121 + 5 please help fast
Answer:
-6
Step-by-step explanation:
helpppppppppp!!!!!!
1) If a recipe that uses 12 cups of flour to make 8 cakes needs to be scaled down to make 6 cakes, how much flour will the new yield require?
○6 cups
○9 cups
○10 cups
○11 cups
2) What is the benefit of formulas?
○They require less time to cook.
○They produce the same results every time.
○Most home cooks will become familiar with formulas.
○Formulas require fewer ingredients than most recipes.
3) If a restaurant needs 10 pounds of ground beef to make 50 servings of chili, how many pounds of ground beef are required to make 65 servings?
○13 pounds
○15 pounds
○18 pounds
○20 pounds
4) How much dough can a commercial freestanding mixer make at once?
○Up to 100 pounds
○Up to 175 pounds
○Up to 350 pounds
○Up to 500 pounds
5) A blender would be the best choice when making which of the following?
○A fruit pie
○A fish entrée
○Cookie dough
○A mustard sauce
6) If a batch of cake batter is cooked in one large pan instead of two round pans, how will this change the cooking time?
○There is no change in the cooking time.
○The larger pan will take longer to cook.
○The two smaller pans will take longer to cook.
○It won’t since the amount of batter is the same.
Answer:
1)9 cups
2) they produce the same results
3)13 pounds
4)100 pounds
5) a mustard sauce
6) the larger pan would take a longer to cook
AREA OF THESE TWO POLYGONS?
Answer:
Step-by-step explanation:
1 A line passes through (0, 2) and has a slope of 3. Which function's graph is parallel to this line?
A. f(x) = 2
B. f(x) = 3
C. f(x) = 2x
D f(x) = 3x
5 plus 5 times 10 minus 5
Answer:
95
Step-by-step explanation:
5+5 = 10 x 10 = 100 - 5 = 95
Have a good day!!
complete the missing number sequence.
1/4, 1/2,___, 1, 11/4
Answer:If the last number is 1¼ then the answer is ¾
Step-by-step explanation:
From one fraction to the other there is a difference of ¼
¼+¼=½
½+½=¾
¾+¼=1
1+¼=1¼
To identify the difference between the fractions you should get the LCM of the denominator which is 4 then you change all the fractions and make them have the same denominator
½ ,²/4 ,_ ,⁴/4 ,⁵/4
Then work with the numerator
1 , 2, _ ,4 , 5,
The dash is to be filled with 3
So your answer is ¾
The equation A=1250(1.03)^7 is being used to calculate the amount of money in a savings account. What does the 1.03 represent in this equation?
Answer:
The amount of Interest
Step-by-step explanation:
I'm 98% sure. It make sense because that how much interest ^7 you would multiply by 1250. And I've had questions like this. Hope this helps!
Find the slope of the line.
Step-by-step explanation:
_6,_3 I hope this help it like it should (_6,2) (_1,0)
Service Costs are part of maintaining your car. It's that time again. You will need an oil change costing $45, four new tires costing $89.95 each, and 2 new windshield wipers costing $7.95 each. What is the total cost of your service cost?
Answer:
420.7
Step-by-step explanation:
Question
Daniel is planning a 6-night road trip. It will cost $310 for transportation, $275 for food, and $70 per night for a hotel room.
He has $745 in savings and can earn $20 per hour tutoring. How many hours must he tutor to have enough money to pay
for the trip?
Answer:
13 hours
Step-by-step explanation:
Given that Daniel will incur the following costs:
Transportation : $310
Food : $275
Hotel : $70 per night for 6 nights = $70 x 6 = $420
his total cost = $ (310 + 275 + 420) = $1005
it is given that he has $745 in savings: If he uses all his savings, it will reduce his total cost balance to $1005 - $745 = $260
hence he needs to make up the remaining $260 by tutoring for $20 per hour
number of hours to make up the $260
= $260 ÷ $20/hr
= 13 hours
I need some help: A survey of 120 persons was conducted at TCC, and it was found that 97 persons carried a cell phone, 12 persons carried a tablet computer, and 9 carried both a cell phone and a tablet. How many people carried a cell phone or a tablet?
Answer:
100
Step-by-step explanation:
n(u)=120 total people in survey
n(c)=97 people carrying cell phone
n(t)=12 people carrying tablet
n(c∩t)=9 people carrying both tablet and cell phone
n(c∪t)=? people carrying cell phone or tablet
now,
n(c∪t)= n(c)+n(t) - n(c∩t)
= 97+12-9
=109-9
=100
there fore the number of people carrying cell phone or tablet = 100
Could somebody help me solve this step-by-step? I'm stuck
Answer:
[1, 3]
Step-by-step explanation:
g(x) = f(2x), so g(x) is f(x) compressed horizontally by a factor of 2. Vertically, it is not changed.
Therefore, the ranges are identical.
There are 12 red pens, 20 blue pens and 5 black pens in a bag. What is the probability that you will pick a black pen? Round
Answer:
The probability of getting a black pen from the bag is 13.5%.
Step-by-step explanation:
To determine the percentage probability that a black pen will be obtained from the bag, the following calculation must be performed:
12 + 20 + 5 = 37
37 = 100%
5 = X
(5 x 100) / 37 = X
500/37 = X
13.5 = X
Thus, it is determined that the totality of pens is 100%, and through a cross multiplication the percentage of the 5 black pens with respect to the total of pens is obtained.
Therefore, the probability of getting a black pen from the bag is 13.5%.
6/31. There are 6 black pens left and the red pen was removed, so the original sample size of 32 is reduced to 31.
n-6m-8 for n help! please
Answer:
n=6m+8
Step-by-step explanation:
we hav to get n by itself
so start easy and add 8 to theother side
n-6m=8 then take 6m and add it the other side
n=6m+8 and there you go
Answer:
Step-by-step explanation:
n - 6m = 8
n = 8 + 6m