No. Asher figured that just subtracting 4 from 4x, which is 64, would get him the value of x. However, since 64=4x, one needs to divide 64 by the number of x's to get x's value. 64/4= 16, which is the value of x.
The method of solving the equation by asher is; Incorrect because she is supposed to divide directly and not subtract.
What is the method of solving an equation?We are told that she wants to solve the equation;
4x = 64
Now, she decided to subtract 4 from both sides to get the value of x. That will not be correct because she is meant to divide both sides by the coefficient of x to get the value of x.
4x = 64
x = 64/4
x = 16
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A scatter plot containing the point (5, 29) has the regression equation yˆ=5x+2 . What is the residual e when x = 5? Enter your answer in the box.
e = ?
Answer:
The answer is below
Step-by-step explanation:
Answer:
The residual e=2 when x = 5.
Step-by-step explanation:
A scatter plot containing the point (5, 29), it means the observed value at x=5 it 29.
The given regression equation is
[tex]\hat{y}=5x+2[/tex]
Substitute x=5 in the above regression equation, to find the predicted value at x=-5.
[tex]\hat{y}=5(5)+2=25+2=27[/tex]
The formula to find the residual value e is
e = Observed value - Predicted value
[tex]e=29-27[/tex]
[tex]e=2[/tex]
Therefore the residual e=2 when x = 5.
You play a board game with your little brother. You pick a card that sends you back five spaces. On your next turn, you must move back three more spaces. On your third turn, you get to move forward three spaces. Which expression best shows how you could find your new spot on the game board?
Answer:
Step-by-step explanation:
- 5 + (-3) + 3 is the correct option.
Answer:
-5 + (-3) + 3
Step-by-step explanation:
Given that g(x)=3x^2 -4x+3, find each of the following.
PICTURE DOWN BELOW!!!
Answer:
see explanation
Step-by-step explanation:
To evaluate the expression for the given values.
Substitute the given values for x into g(x)
a
g(0) = 3(0)² - 4(0) + 3 = 0 - 0 + 3 = 3
b
g(- 1) = 3(- 1)² - 4(- 1) + 3 = 3 + 4 + 3 = 10
c
g(2) = 3(2)² - 4(2) + 3 = 12 - 8 + 3 = 7
d
g(- x) = 3(- x)² - 4(- x) + 3 = 3x² + 4x + 3
e
g(1 - t)
= 3(1 - t)² - 4(1 - t) + 3
= 3(1 - 2t + t²) - 4 + 4t + 3
= 3 - 6t + 3t² - 4 + 4t + 3
= 3t² - 2t + 2
(98 POINTS) (PLEASE HURRY!)
[1] x^2 - xy - x + y =
[2] 1 - x - x^2 + x^3 =
[3] xy + 1 + x + y =
[4] x^2y + y^2x + x^2x + y^3 =
Answer:
1. no like terms
2. x^ 3 − x^ 2 − x + 1
3.x y + x + y + 1
4.x^ 3 + x^ 2 y + x y^ 2 + y^ 3
Lol
Nicole's cleaning company uses a linear model to determine the amount they charge their clients. They charged $144 for a cleaning job that took 4 hours. They charged $188 for a cleaning job that took 6 hours. Which equation could be used to determine the amount charged, C, for a cleaning job that takes t hours?A.C = 10t + 104B.C = 36t C.C = 44t + 56D.C = 22t + 56
Answer:
D
Step-by-step explanation:
Let the following point represent the first job: (4, $144). Let (6, $188) represent the second. Then we find the equation of the line through these two points. As we go from (4, $144) to (6, $188), x increases by 2 and y increases by $44. Thus, the slope of this line is m = rise/run = $44/(2 hrs), or $22/hr.
Using the slope-intercept formula for a straight line, y = mx + b, we find the equation of this line by finding the y-intercept, b:
Subbing the given info ($22/hr for m, 4 hr for x and $144 for y), we get:
$144 = ($22/hr)(4 hr) + b, or
$144 = $88 + b, which yields b = $56.
Thus, the desired equation is y = mx + b, or y = ($22/hr)x + $56. This matches the last answer (D)
Please Help!
When Mario has to leave the house for a while, he tethers his mischievous puppy to the corner of a 12 ft-by-8 ft shed in the middle of his large backyard. The tether is 18 feet long. Which description fits the boundary of the locus of points in the yard that the puppy can reach?
A. semicircles of radii 18 ft, 10 ft, and 6 ft
B. a three-quarter circle of radius 18 ft, quarter circles of radii 10 ft and 6 ft
C. semicircles of radii 18 ft, 12 ft, and 8 ft
D. a three-quarter circle of radius 18 ft, quarter circles of radii 12 ft and 8 ft
Answer:
B. a three-quarter circle of radius 18 ft, quarter circles of radii 10 ft and 6 ft
Step-by-step explanation:
A diagram can be a useful aid to answering this question. At one corner of the shed, 8 ft of rope is no longer available, so the quarter circle has a radius of 18-8 = 10 ft. (That side of the shed is 12 ft, so the area is only a quarter circle.)
At the other corner of the shed, 12 ft of rope is no longer available, so the quarter circle has a radius of 18-12 = 6 ft. (That side of the shed is 8 ft, so the area is only a quarter circle.)
In the attached diagram, the 3/4 circle with radius 18 ft is shown red, and the quarter circles are shown in green.
Ms.Holmes decided to water her plants.She had 2 1/2 gallons of water.She gave each plant 1/4 gallon of water.Which expression could be used to determine how many plants Ms.Holmes had?
To determine how many plants Ms. Holmes had, divide the total amount of water she had by the amount of water she gave each plant. The expression that can be used is (2 1/2 gallons) divided by (1/4 gallon per plant). Simplifying the expression gives the answer of 10 plants.
Explanation:To determine how many plants Ms. Holmes had, we can divide the total amount of water she had (2 1/2 gallons) by the amount of water she gave each plant (1/4 gallon per plant).
So, the expression that can be used is (2 ½ gallons) ÷ (1/4 gallon per plant). To divide a fraction by a fraction, we multiply the first fraction by the reciprocal of the second fraction. Therefore, the expression simplifies to (2 ½ gallons) × (4 gallons per plant).
Simplifying further, we get 10 gallons. This means that Ms. Holmes had 10 plants.
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Someone please help??
Answer:
x = 1
Step-by-step explanation:
The base is 3. The value of 3^x will be 3 only when x=1.
_____
The value of any exponential term will be equal to the base when the exponent is 1.
Franco needs to pack 125 bottles of juice. Each box holds 8 bottles. How many boxes are needed to pack all of the juice?
Answer:
16 Boxes
Step-by-step explanation:
Total Bottles:125
Amount of Bottles A Box Is Able To Hold:8
125/8=15.625
Round Up To Nearest Whole Number
16 Boxes Are Needed To Hold 125 Bottles
The explicit rule for a sequence is an=5(−2)^n−1
What is the recursive rule for the sequence?
1) an=−2(an+1)
a1=5
2) an=−5(an+1)
a1=2
3) an=−2(an−1)
a1=5
4) an=−5(an−1)
a1=2
Answer:
3) [tex]a_n=-2a_{n-1}[/tex], [tex]a_1=5[/tex]
Step-by-step explanation:
Given that the explicit rule for a sequence is [tex]a_n=5(-2)^{n-1}[/tex].
Now we need to find about what is the recursive rule for the sequence and match with the given choices to find the correct choice.
1) [tex]a_n=-2a_{n+1}[/tex], [tex]a_1=5[/tex]
2) [tex]a_n=-5a_{n+1}[/tex], [tex]a_1=2[/tex]
3) [tex]a_n=-2a_{n-1}[/tex], [tex]a_1=5[/tex]
4) [tex]a_n=-5a_{n-1}[/tex], [tex]a_1=2[/tex]
Plug n=1 into given formula to get first term
[tex]a_n=5(-2)^{n-1}[/tex]
[tex]a_1=5(-2)^{1-1}=5(-2)^{0}=5(1)=5[/tex]
base of the exponent part is (-2) so that means we need to multiply -2 to the previous term to get nth term
Hence correct choice is: 3) [tex]a_n=-2a_{n-1}[/tex], [tex]a_1=5[/tex]
Answer:
3) an=−2(an−1)
a1=5
Step-by-step explanation:
Find x to the nearest hundredth.
7.73 cm
8.12 cm
20.46 cm
23.78 cm
Answer:
23.78
Step-by-step explanation:
CAH
x/25
cos18=x/25
25cos18=x
x=23.78
Answer:
23.78 cm
Step-by-step explanation:
Since, We know that,
In a right angle triangle,
[tex]cos \theta=\frac{B}{H}[/tex]
Where, B represents base adjacent to [tex]\theta[/tex]
H represents the hypotenuse adjacent to [tex]\theta[/tex]
Thus, by the given diagram,
[tex]cos 18^{\circ}=\frac{x}{25}[/tex]
[tex]\implies x = 25\times cos 18^{\circ}=23.7764129074\approx 23.78\text{ cm}[/tex]
Hence, Last option is correct.
Which of the following are possible rational roots of the polynomial function f(x)=5x^2-3x+3
You didn't post any option, but the ration roots theorem states that all possible rational roots of a polynomial come in the form
[tex]\pm\dfrac{p}{q}[/tex]
where p divides the constant term and q divides the leading term of the polynomial. So, in your case, p divides 3 (i.e. it is 1 or 3), and q divides 5 (i.e. it is 1 or 5).
So, the possible roots are
[tex]\pm 1,\quad \pm 3,\quad \pm\dfrac{1}{5},\quad \pm\dfrac{3}{5}[/tex]
For the record, this parabola has no real roots.
The possible rational roots of the polynomial function f(x) = 5x² - 3x + 3 are;
±1/5, ±3/5, ±1, ±3
We are given the polynomial function;
f(x) = 5x² - 3x + 3
The rational root theorem states that for a polynomial to have any rational roots, then the roots must be of the form;
±(Factors of coefficient of constant term/factors of the coefficient of the highest power)
Now, the coefficient of the highest power is 5 and the constant term is 3.
Factors of 5 = 1, 5
Factors of 3 = 1, 3
Thus, the possible rational roots are;
±1/5, ±3/5, ±1, ±3
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A fair coin is tossed 3 times. What is the probability that the coin with land showing heads on all three tosses.
Answer:2/3
Step-by-step explanation:
Answer:
1/8
Step-by-step explanation:
one way we can solve this is by making a tree using H for heads and T for tails
since it can land H or T, we put them down like this. then we can get H or T again because its a coin, so we put that under each letter. finally we do the same thing again to get 8 possibilities. now we can count how many of them was HHH, which is one
H T
/ \ / \
H T H T
/\ /\ /\ /\
H T H T H T H T
^ this one
or do 2 x 2 x 2 because there are 2 possibilities each three times
The length of a rectangle is 3 meters more than the width. The perimeter of the rectangle is 26 meters. If the width is b, which equation represents the situation? How many solutions will this equation have?
Answer:
Thehe answer is 75
Step-by-step explanation:
Answer with Step-by-step explanation:
The length of a rectangle is 3 meters more than the width.
If the width is b.
⇒ Length=b+3
The perimeter of the rectangle is 26 meters.
Since, Perimeter=2(Length+width)
⇒ 2(b+3+b)=26
dividing both sides by 2
⇒ b+3+b=13
⇒ 2b=13-3
⇒ 2b=10
dividing both sides by 2
⇒ b=5
⇒ Width=5 meter
and Length=5+3=8 meter
which equation represents the situation: 2(b+3+b)=26How many solutions will this equation have: UniqueA dice game pays a player $5 for rolling a3 ot a 5 with a single die. the player has to pay $2 for any other roll. if a person plays the game 30 times, what is the approximate probability ttrat the person will win at least $15?
The approximate probability that the person will win at least $15 is 0.255.
To solve this problem, we need to calculate the probability of winning at least $15 after playing the game 30 times. Winning at least $15 means that the player must win on at least 6 rolls because winning once pays $5, and $5 times 6 is $30, which is the minimum needed to have a net gain of $15 ($30 won - $15 lost).
First, let's calculate the probability of winning in a single roll. The player wins if they roll a 3 or a 5, which are two favorable outcomes out of six possible outcomes.
[tex]\[ P(\text{win on a single roll}) = \frac{2}{6} = \frac{1}{3} \][/tex]
The probability of losing in a single roll is the complement of the probability of winning:
[tex][ P(\text{lose on a single roll}) = 1 - P(\text{win on a single roll}) = 1 - \frac{1}{3} = \frac{2}{3} \][/tex]
Now, we need to find the probability of winning at least 6 times in 30 rolls. This can be modeled using the binomial probability formula:
[tex]\[ P(X = k) = \binom{n}{k} p^k (1-p)^{n-k} \][/tex]
where [tex]\( n \)[/tex] is the number of trials (30 in this case), [tex]\( k \)[/tex] is the number of successes (at least 6), [tex]\( p \)[/tex] is the probability of success on a single trial [tex](\( \frac{1}{3} \)), and \( \binom{n}{k} \)[/tex] is the binomial coefficient.
We want to calculate the probability of winning at least 6 times, which is the sum of the probabilities of winning exactly 6, 7, .. up to 30 times:
[tex]\[ P(X \geq 6) = \sum_{k=6}^{30} \binom{30}{k} \left(\frac{1}{3}\right)^k \left(\frac{2}{3}\right)^{30-k} \][/tex]
[tex]\[ P(X \geq 6) \approx 0.255 \][/tex]
for the dilation, Do, k = (10, 0 ) —> (5,0) , the scale factor is equal to ____.
•-5
•5
•0.5
•2
Answer:
•0.5
Step-by-step explanation:
We'll assume the dilation was done at the origin point, so it was done evenly.
Since the k point went from (10,0) to (5,0), we know it was reduced... so the scale factor has to be below 1. A scale factor means the size wasn't changed and a dilation/scale factor larger than 1 means it was enlarged.
So, we take the new X-value (5) and divide it by the original X-value (10).
Scale factor = 5/10 = 1/2... so 0.5
Triangle TUV has been dilated to form triangle TꞌUꞌVꞌ.
What is the scale factor?
Answer:
4.4, 4.4 : 1, 22 : 5
Step-by-step explanation:
There are many ways to solve this, but I'll do it by finding the ratio between V'T' and VT.
That's easy, we're given the lengths of these two. The ratio would be 8.8/2. 8.8/2 = 4.4, or (8.8*5)/(2*5) = 22/5
Lucy and Katy are registering for a sports league for next year. There are 222 sports (volleyball and basketball) and 333 seasons (fall, winter, and spring) to choose from. They each created a display to represent the sample space of randomly picking a sport and a season. Whose display correctly represents the sample space?
Answer:
A. Lucy Only
Step-by-step explanation:
Got it right on Khan Academy
The possible sample space is: FV, WV, SV, FB, WB, and SB
What is probability?Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes
As, the sample space with all possibilities in which lucy and katy register a sports League.
Now, they have 2 sports and 3 seasons for the Sample space.
Mow let us consider, V is registered for Volleyball and B is registered for basketball .
and, F is registered Fall, W is registered for Winter and S is for Spring.
so, that the sample space is:
FV, WV, SV, FB, WB, and SB
where, FV is the registered possibility for fall and in volleyball.
WV is the registered possibility for Winter and in volleyball.
SV is the registered possibility for Spring and in volleyball.
and so on..
Therefore, the correctly representation for the sample space is the one that has all these possibilities.
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A survey showed that hamburgers are preferred to hot dogs 5 to 3. What percent of those surveyed prefer hamburgers
Final answer:
62.5% of those surveyed prefer hamburgers.
Explanation:
The question is asking to find the percentage of people who prefer hamburgers over hot dogs when given the ratio of 5 to 3.
To calculate this, you would add the two parts of the ratio together to get the total number of parts, which is 5 + 3 = 8.
The number of parts that represent hamburgers is 5.
To find the percentage, you would divide the hamburger part by the total number of parts and then multiply by 100.
This gives you (5/8) × 100, which equals 62.5%.
Therefore, 62.5% of those surveyed prefer hamburgers.
A recipe includes 4 cups of flour and 2/3 cup of brown sugar. Write the ratio of the amount of flour to the amount of brown sugar as a fraction in simplest form.
Answer:
6/1
Step-by-step explanation:
So we are looking for a ratio of flour which is 4 and brown sugar which is 2/3.
So we divide 4 by 2/3.
4÷2/3 since we are diving by a fraction we keep 4÷2/3 change 4*2/3 flip 4*3/2. So now we are multiplying 4 and 3/2.
So that is 4/1*3/2= 12/2 that simplies to 6/1
Answer:
⁶/₁
Step-by-step explanation:
4 cups of flour, ⅔ cup of brown sugar. The ratio of flour to brown sugar is:
4 / ⅔
We need to simplify this. First, write 4 as a fraction:
⁴/₁ / ⅔
To divide by a fraction, multiply by the reciprocal:
⁴/₁ × ³/₂
¹²/₂
⁶/₁
Can someone help me with these questions please?
1. Which function pass through the points (1, 4), (2, 9), and (3, 16)?
y = (x + 1)2
y = (x + 3)2
y = 7x - 5
2. Suppose that after swimming 1 lap in a pool, you can swim 10 laps in an hour. What is an equation that represents the total number of laps you have swam y in terms of the number of hours x?
y(x) = 10 + x
y(x) = 10(x + 1)
y(x) = 10x + 1
3. Is the following an arithmetic sequence? If so, what is the common difference? {4, 2, 0, -2, -4, -6, …}
Yes, d = -2
No
Yes, d = 2
4. Which function has the following graph?
y = -2x + 4 b. y = 2x + 4 c. y =12x + 4
5. What is the slope of the line containing (3, 5) and (2, 7)?
m = 2 b. m = -2 c. m = 125
6. The graph of a line passes through the point (-3, 2) and has a slope of 4. What is an equation of the line?
y = 4x - 10
y = 4x - 11
y = 4x+ 14
7. Which line is parallel to y = 4x - 2?
y = -14x + 3
y = -4x + 5
y = 4x + 5
8. Which system of equations has (2, 3) as a solution?
y = 2x - 1 b. y = 2x + 1 c. y = 4x - 5
y = x + 1 y = x - 1 y = 2x
Answer:
the first function, y = (x + 1)^2, does pass through the points (1, 4), (2, 9), and (3, 16).
Step-by-step explanation:
Note that 4, 9 and 16 are squares of 2, 3 and 4. So it's likely that the parent function is of the form f(x) = x^2. Note that f(1) = 1, f(2) = 4, f(3) = 9 and f(4) = 16.
Let's now determine whether these three points satisfy the first given equation, y = (x + 1)^2: Does 4 = (1 + 1)^2? Does 4 = 2^2? YES.
Does 9 = (2 + 1)^2? Does 9 = 3^2? YES
Does 16 = (3 + 1)^2? YES
So the first function, y = (x + 1)^2, does pass through the points (1, 4), (2, 9), and (3, 16).
Final answer:
The detailed answers cover questions related to functions, sequences, equations of lines, slopes, and graphing lines.
Explanation:
Question 1:
The function that passes through the points (1, 4), (2, 9), and (3, 16) is y = (x + 1)^2.
Question 2:
The equation representing the total number of laps swum y in terms of hours x is y(x) = 10x + 1.
Question 3:
The sequence {4, 2, 0, -2, -4, -6, …} is an arithmetic sequence with a common difference of -2.
Question 5:
The slope of the line containing (3, 5) and (2, 7) is m = -2.
Question 6:
For a line passing through (-3, 2) with a slope of 4, the equation of the line is y = 4x + 14.
Rewrite in a form that does not use exponents
Answer:
[tex]\boxed{18}[/tex]
Step-by-step explanation:
One of the rules of logarithms is ...
log(a^b) = b·log(a)
So ...
[tex]6\log_5{x^3}=6(3\log_5{x})=\bf{18}\log_5{x}[/tex]
A circle has a diameter of 8 m. What is the approximate area of the circle? 200.96 m2 12.56 m2 25.12 m2 50.24 m2
Answer:
50.24
Step-by-step explanation:
area of a circle =pi r^2
diameter = 2 * radius
radius=8/2=4
area=pi 4^2
=pi 16
=50.26
circle O is shown below. the diagram is not drawn to scale. 73°
Answer:
Option A
53.5
Step-by-step explanation:
Find the volume of the rectangular prism. Write answer as a fraction. Length=2/3 mm. Width=1/3mm. Height=2/3 mm.
put simply, the volume of a rectangular prism is just the product of all its 3 dimensions.
[tex]\bf V=\cfrac{2}{3}\cdot \cfrac{1}{3}\cdot \cfrac{2}{3}\implies V=\cfrac{4}{27}[/tex]
please help me and plz explain thoroughly i need help asap!
Given the function f(x) = 2(x + 8), find x if f(x) = 12.
2
40
−2
14
f(x) = 2(x+8)
replace f(x) with 12 and then solve for x:
12 = 2(x +8)
Use the distributive Property on the right side:
12 = 2x +16
Subtract 16 from each side:
-4 - 2x
Divide both sides by 2:
x = -4 / 2
x = -2
Answer:
−2
Step-by-step explanation:
f(x) = 2(x+8)
f(x) = 12
12 = 2(x+8)
Divide each side by 2
12/2 = 2/2(x+8)
6 = x+8
Subtract 8 from each side
6-8 =x+8-8
-2 = x
Maryanne began a job that gives her 3 days of vacation each year she is employed up to a maximum of 24 days of vacation time. How many years will she be at the company before she reaches the maximum amount of vacation time?
Answer:
8 years
Step-by-step explanation:
Answer:
she will be at the company for 8 years.
Step-by-step explanation:
The number of days of vacation for each year = 3
Maryanne is employed up to a maximum of 24 days of vacation time.
We need to find the number of years she will be in the company before she reaches the maximum amount of vacation of time.
The number of years she will be in the company = The number of maximum days of vacation time divided by the number of days of vacation for each year
= [tex]\frac{24}{3}[/tex]
= 8 years
Therefore, she will be at the company for 8 years.
Combine the following expressions:
ANSWER
[tex](4n - 1)\sqrt{3 n} + 3\sqrt{n}[/tex]
EXPLANATION
The given expression is
[tex] \sqrt{48 {n}^{3} } + \sqrt{9n} - \sqrt{3n} [/tex]
We remove the perfect squares under the radical sign.
[tex]\sqrt{16 {n}^{2} \times3 n} + \sqrt{9n} - \sqrt{3n} [/tex]
We can now take square root of the perfect squares and simplify them further.
[tex] \sqrt{16 {n}^{2}} \times \sqrt{3 n} + \sqrt{9} \times \sqrt{n} - \sqrt{3n} [/tex]
This simplifies to:
[tex]4n\sqrt{3 n} + 3\sqrt{n} - \sqrt{3n} [/tex]
This further simplifies to:
[tex](4n - 1)\sqrt{3 n} + 3\sqrt{n} [/tex]
Answer:
Option B is Correct
Step-by-step explanation:
[tex]\sqrt{48n^3}+\sqrt{9n} - \sqrt{3n}[/tex]
We need to solve the above expression.
48 can be written as: 2x2x2x2x3
9 can be written as : 3x3
Putting values
[tex]\sqrt{2*2*2*2*3*n*n*n} +\sqrt{3*3*n}-\sqrt{3n}[/tex]
2*2 = 2^2 and n*n = n^2 and 3*3 = 3^2
we also know √ = 1/2
so, putting these values we get,
[tex]\sqrt{2^2*2^2*3*n^2*n} +\sqrt{3^2*n}-\sqrt{3n}\\(2^2)^{1/2} * (2^2)^{1/2} * (3)^{1/2} * (n^2)^{1/2} * n ^{1/2} + ((3^2)^{1/2} *n^{1/2}) -(\sqrt{3n})\\2*2*n * (3^{1/2} *n ^{1/2}) +(3 +n^{1/2}) -(\sqrt{3n})\\4n (\sqrt{3n})+(3 \sqrt{n}) -(\sqrt{3n})\\Rearraninging\\4n(\sqrt{3n}) - (\sqrt{3n})+(3 \sqrt{n})\\Taking \,\,\sqrt{3n} \,\,common\,\, from\,\, 1st\,\, and\,\, 2nd\,\, term\\\sqrt{3n}(4n-1)+(3 \sqrt{n})\\or \,\,it\,\,can\,\,be\,\,written\,\,as\,\,\\(4n-1)\sqrt{3n}+(3 \sqrt{n})[/tex]
So, Option B is Correct.
Identify the coefficient of 13m
Answer: the coefficient of 13m is 13.
Answer:
The coefficient of 13 m is 13.
Step-by-step explanation:
Consider the provided expression.
[tex]13m[/tex]
Numbers appear with variables are called coefficients.
Alphabets in an expression are called variables.
Numbers appear without variables are called Constant terms.
Here we need to identity the coefficient.
From the above definition we know the number appear with the variables are coefficients.
Since m is variable, thus the number 13 must be the coefficient.
Hence, the coefficient of 13 m is 13.
Subject Algebra 1
If [tex]y=3x^{2} + x^{2} -5[/tex] and [tex]z=x^{2} -12[/tex] which polynomial is equivalent to [tex]2(y+z)[/tex]?
Answer:
[tex]10x^{2}-34[/tex]
Step-by-step explanation:
Because we are told equivalent expressions for y and z we can plug those in to 2(y+z).
[tex]2((3x^{2}+x^{2}-5)+(x^{2}-12))[/tex]
Then simplify by combining like terms of the expressions. Values ending in x^2 can be combined with each other.
[tex]2(5x^{2}-17)[/tex]
Now we can distribute the 2 by multiplying each value in the parentheses by 2.
[tex]10x^{2}-34[/tex]