Example of which mathematical property is 3(x+2)as 3x+6 an example of
Answers
Explanation:
The distributive property is \(a(b+c) = ab+ac\)
We multiply the outer term 'a' by each term inside the parenthesis.
In the example of 3(x+2), we multiply the outer term 3 with each term inside the parenthesis.
3 times x = 3x3 times 2 = 6That's how we go from 3(x+2) to 3x+6
Another way to think of it is to think of 3(x+2) as three copies of (x+2) being added. So,
(x+2)+(x+2)+(x+2) = (x+x+x) + (2+2+2) = 3x+6
The distribution rule is the shortcut of repeated addition like this.
\(\huge\text{\bf Hey there!}\)
\(\large\textsf{FORMULAS for you to follow}\\\\\large\text{Associative Property}\\\large\textsf{(a + b) + c = a + (b + c)}\\\\\large\text{Cummutative Property}\\\large\textsf{a + b = b + a}\\\\\large\text{Additive Identity Property}\\\large\textsf{a + 0 = 0 + a = a}\\\\\large\text{Distributive Property}\\\large\textsf{a(b + c) = a(b) + a(c) = ab + ac}\)
\(\large\textsf{3(x + 2)}\\\large\textsf{= 3(x) + 3(2)}\\\large\textsf{= 3x + 6}\)
\(\huge\text{Thus, your answer is: \boxed{\textsf{Distributive Property}}}\huge\checkmark\\\\\large\text{Reason: because you're basically DISTRIBUTING 3 within the}\\\large\text{parentheses.}\)
\(\huge\text{\bf Good luck on your assignment \&}\\\huge\text{\bf enjoy your day!}\)
~\(\frak{Amphitrite1040:)}\)Related Questions
Choose the expression that is equivalent to the expression n − n + n − n.
Answers
. Donna could buy a half-gallon tub of ice
cream for $4.99 or a small tub for $2.39.
What else does Donna need to know in
order to decide which size is the better
buy?
Answers
Answer: D the size of small tub
Step-by-step explanation: he needs to more if he is going to get his moneys worth
Donna need to know the size of small tub in order to decide which size is the better buy. the correct option is D.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.
Given that Donna could buy a half-gallon tub of ice cream for $4.99 or a small tub for $2.39.
We can see that he needs to more if he is going to get his moneys worth.
ice cream = $4.99
small tub = $2.39.
He need to know the size of small tub
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what are the similarities and differences in linear and exponential in intercepts?
what are the similarities and differences in linear and exponential in domain and range?
what are the similarities and differences in linear and exponential in asymptotes?
what are the similarities and differences in linear and exponential in misc.?
Answers
Answer:
What is a linear function? A linear function is a function whose graph is a straight line. The rate of change of a linear function is constant. The function shown in the graph below, y = x + 2, is an example of a linear function.
Graph of linear function
Graph of linear function
A linear function has a constant rate of change. The rate of change is the slope of the linear function. In the linear function shown above, the rate of change is 1. For every increase of one in the independent variable, x, there is a corresponding increase of one in the dependent variable, y. This gives a slope of 1/1 = 1.
A linear function is typically given in the form y = mx + b, where m is equal to the slope, or constant rate of change.
Examples of linear functions include:
If a person drives at a constant speed, the relationship between the time spent driving (independent variable) and the distance traveled (dependent variable) will remain constant.
Assuming no change in price, the relationship between the number of pounds of bananas a person buys (independent variable) and the total cost of the bananas (dependent variable) will remain constant.
If a person earns an hourly wage at their job, the relationship between the time spent working (independent variable) and the amount earned (dependent variable) will remain constant.
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Exponential Functions
What is an exponential function? An exponential function is a function that involves exponents and whose graph is a smooth curve. The rate of change in an exponential function is not constant. The functions shown in the graph below, y = 0.5x and y = 2x, are examples of exponential functions.
Graphs of exponential functions
Graphs of exponential functions
An exponential function does not have a constant rate of change. The rate of change in an exponential function is the value of the independent variable, x. As the value of x increases or decreases, the rate of change increases or decreases as well. Rather than a constant change, as in the linear function, there is a percent change.
An exponential function is typically given in the form y = (1 + r)x, where r represents the percent change.
Examples of exponential functions include:
Step-by-step explanation:
What is the equation of the line through the points (2,3) and (4, 5)?
Answers
I need help this is hard
Answers
Answer:
3.2
Step-by-step explanation:
1 kg = 1000 grams
Answer:
the answer is 3.2
Step-by-step explanation:
hope this helped
 easy 5th grade math please look at photo and show work. Giving brainliest!!
Answers
..the answer is 16..
Please help with this
Answers
Answer:
B
Step-by-step explanation:
No, because for x = 7, there are two values of y
Answer:
\(\huge\boxed{\sf No.}\)
Step-by-step explanation:
For a relation to act as a function, the x-values (domain) of the relation should NOT be repeated.
Here,
In domain(x-values), 7 is being repeated. Hence, the relation is not a function.
\(\rule[225]{225}{2}\)
10.) Factor each expression:
a.) 3x + 6
b.) 12x + 30y
c.) 2x - 15
d.) 14f-16g
Answers
Answer:
a) 3(x+2)
b) 6(2+5)
c) 2x-15
d) 2(7f+8g)
A drain must be installed with a grade of 1/10 in. of vertical drop per foot of horizontal run. How much of a drop will there be for 58 ft of run?
No Links please
Answers
Answer:
Step-by-step explanation:
58 ft (1/10 inch/ft) = 5.8 inch
What is the equation in point slope form of the line that is perpendicular to the given line and passes through the point(2,5)?
Answers
Answer:
Step-by-step explanation:
To find the equation of a line that is perpendicular to a given line and passes through a specific point, we need to follow a few steps:
Find the slope of the provided line.
The point-slope form of a line is given by: y - y1 = m(x - x1), where (x1, y1) represents the given point.
Substituting the values, the equation of the perpendicular line becomes:
y - 5 = (-1/m)(x - 2)
Simplifying the equation further, we can rewrite it in point-slope form:
y - 5 = (-1/m)x + (2/m)
An executive drove from home at an average speed of 40 mph to an airport where a helicopter was waiting. The executive boarded the helicopter and flew to the corporate offices at an average speed of 80 mph. The entire distance was 180 mi. The entire trip took 3 h. Find the distance from the airport to the corporate offices.
Answers
Step-by-step explanation:
Rate X time = distance
soooo....
80x + 40 (3-x) = 180 where x is the heli time
80x + 120 - 40x = 180
40x = 60
x = 1.5 hr in the heli at 80 m/hr = 120 miles from airport to offices
Slope-intercept equation from graph
Answers
What is the equation of a line with slope 1/4 which passes through the point (0,7)?
Write the equation in slope-intercept form, y = mx + b.
Answers
Answer:
y=1/4x+7
Step-by-step explanation:
If the y-intercept is (0,7), then the b is +7
the slope is 1/4 which is equal to m
your equation is y=1/4x+7
1. Assume that men’s weights are normally distributed with a mean given by = 172lb and a standard deviation given by =29lb. Using the Central Limit Theorem to solve the following exercises(1) If 36 men are randomly selected, find the probability that they have a mean weight greater than 160lb.(2) If 81 men randomly selected, find the probability that they have a mean weight between 170lb and 175lb.
Answers
Answer:
1) 0.99348
2) 0.55668
Step-by-step explanation:
Assume that men’s weights are normally distributed with a mean given by = 172lb and a standard deviation given by =29lb. Using the Central Limit Theorem to solve the following exercises
When given a random number of samples, we use the z score formula:
z-score is z = (x-μ)/σ/√n where
x is the raw score
μ is the population mean
σ is the population standard deviation.
(1) If 36 men are randomly selected, find the probability that they have a mean weight greater than 160lb.
For x > 160 lb
z = 160 - 172/29/√36
z = 160 - 172/29/6
z = -2.48276
Probability value from Z-Table:
P(x<160) = 0.0065185
P(x>160) = 1 - P(x<160) = 0.99348
(2) If 81 men randomly selected, find the probability that they have a mean weight between 170lb and 175lb.
For x = 170 lb
z = 170 - 172/29/√81
z = 170 - 172/29/9
z = -0.62069
Probability value from Z-Table:
P(x = 170) = 0.2674
For x = 175 lb
z = 175 - 172/29/√36
z = 175- 172/29/6
z = 0.93103
Probability value from Z-Table:
P(x = 175) = 0.82408
The probability that they have a mean weight between 170lb and 175lb is calculated as:
P(x = 175) - P(x = 170)
0.82408 - 0.2674
= 0.55668
Select the three statements that give benefits of having a savings account.
Answers
if there were an emergency, I would have the money to cover expenses
Hii Help me pls :))))
Answers
Answer:
B
Step-by-step explanation:
A: 3+5<=8
C: 9+9<19
D: 5+4<10
PLS GIVE BRAINLIEST
Answer:
Perhaps option B
Step-by-step explanation:
A waterfall has a height of 1200 feet. A pebble is thrown upward from the top of the falls with an initial velocity of 24 feet per second. The height, h, of the pebble after t seconds is given by the equation -16t^2+24t+1200 . How long after the pebble is thrown will it hit the ground?
Answers
Answer: 9.44 seconds
Step-by-step explanation:
A movement equation in the vertical axis is usually written as follows:
p(t) = (-g/2)*t^2 + v0*t + p0
where:
g is the gravitational acceleration, in this case is 32 ft/s^2, then -g/2 = -16ft/s^2
v0 is the initial velocity, in this case, 24 ft/s
p0 is the initial height, in this case, 1200ft
Then, when p(t) = 0ft will mean that the pebble will hit the ground, then we need to calculate:
p(t) = -16t^2+24t+1200 = 0
and find the value of t, this is a quadratic equation, then we can use the Bhaskara equation to find the two solutions, these are:
\(t = \frac{-24 +- \sqrt{24^2 - 4*(-16)*1200} }{2*-16} = \frac{-24 +- 278.2}{-32}\)
Then the two solutions are:
t = (-24 + 278.2)/-32 = -7.94 seconds (we can discard this one, because the negative time is not really defined)
t = (-24 - 278.2)/-32 = 9.44 seconds
Then the pebble needs 9.44 seconds to hit the ground
Please solve this. I need help on it
Answers
Answer:
look at the photo............
9514 1404 393
Answer:
∠PTQ = 40°
∠PTR = 140°
Step-by-step explanation:
The two marked angles are "vertical" angles, so are congruent.
∠PTQ = ∠STR
(x +28)° = (2x +16)°
12 = x . . . . . . . . . . . . . . . divide by °, subtract x+16
Then the measure of angle PTQ is ...
∠PTQ = (x +28)° = (12 +28)° = 40°
That and angle PTR form a linear pair, so are supplementary.
∠PTR = 180° -∠PTQ = 180° -40° = 140°
help read the instructions
Answers
Answer:
y = 30200
x = -29950
Step-by-step explanation:
1.)
Let x represent children and y for adults.
200x + 450y = 7,600,000
x + y = 250
2.)
200x + 450y = 7,600,000
x + y = 250
-200(x + y = 250)
-200x + -200 = -50000
200x + 450y = 7,600,000
+ -200x + -200 = -50000
——————————————-
250y = 7550000
y = 30200
x + 30200 = 250
x = -29950
Uhm so I don’t know why for children I got a negative number? The wording for this question is very weird.
th of
cm.
4 Mrs. Ayer is painting the outside of her son's toy
box, including the top and bottom. The toy box
measures 3 feet long, 1.5 feet wi de, and 2 feet high.
What is the total surface area she will paint?
1) 9.0 ft
2) 13.5 ft?
3) 22.5 ft?
4) 27.0 ft
Answers
Find the area of an equilateral triangle with a side length of 14.
Answers
\(\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}\)
Given - An equilateral triangle with side 14 cm To find - Area of that equilateral triangleSolution -
\(Area\: of \:equilateral \:triangle\: = \: \frac{ \sqrt{3} }{4} a {}^{2} \\ \\ \implies \frac{ \sqrt{3}}{4} \times 14^{2} \\ \\ \implies \: \frac{ \sqrt{3} }{\cancel4} \times \cancel{196} \\ \\ \implies \: \sqrt{3} \times 49 \\ \\ \implies \: \bold\blue{49 \sqrt{3} \:units {}^{2}} \)
Further ,
value of \(\bold\orange{\sqrt{3} = 1.732}\)
therefore ,
\(Area = 49 \times 1.732 \\ \\ \implies \: \bold\red{84.69 \: units {}^{2} \: (approx.)}\)
hope helpful :D
Need help only on odds please
Answers
Answer:
Step-by-step explanation:
1) (i) HG ≅ ST ; GI ≅ TR ; IH ≅ RS
ΔHGI ≅ ΔSTR by S S S congruent
(ii) ∠H ≅ ∠S ; HG ≅ ST ; ∠G ≅ ∠T
ΔHGI ≅ ΔSTR by A S A -> Angle Side Angle congruent.
3) LM ≅ XY ; MK ≅ YZ ; KL ≅ ZX
ΔLMK ≅ ΔXYZ Side Side Side congruent
∠K ≅ ∠Z ; KL ≅ ZX ; ∠L ≅ ∠X
ΔLMK ≅ ΔXYZ by Angle Side Angle congruent
Solve for an angle in right triangles. Round to the nearest hundredth
Answers
Answer:
6.53
Step-by-step explanation:
cos(theta)= adjacent/hypotenuse
cos(40)= 5/h
H= 5/cos(40)
=6.527
Rounded to the nearest hundredth will be 6.53
−0.22+�−0.33−0.22x+x−0.33x?
Answers
The answer to the equation −0.22x + x − 0.33x is 0.11x.
The answer is 0.11x. To solve this, we can start by rearranging the terms of the equation. The equation can be written as:
−0.22x + x − 0.33x = −0.22 + 0.33x
We then subtract x from both sides of the equation, resulting in:
−0.22x − x = −0.22 + 0.33x − x
We then combine like terms on the left side of the equation, resulting in:
−1.22x = −0.55
Finally, we divide both sides of the equation by -1.22 to solve for x, resulting in:
x = 0.11
Therefore, the answer is 0.11x.
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Complete question
What is the value of -0.22+−0.33−0.22x+x−0.33x?
Find the equation of a line parallel to -2x+y=9 that passes through the point (-4,8).
Answers
Step-by-step explanation:
To find the equation of a line parallel to a given line, we need to use the fact that parallel lines have the same slope. Therefore, we can find the slope of the given line and use it to find the equation of the parallel line that passes through the given point.
Let's start by rearranging the given line -2x+y=9 into slope-intercept form, y=mx+b, where m is the slope and b is the y-intercept:
-2x+y=9
y=2x+9
So, the slope of the given line is 2.
Now, we can use the point-slope form of the equation of a line to find the equation of the parallel line that passes through the point (-4,8):
y - y1 = m(x - x1), where (x1, y1) is the given point and m is the slope of the parallel line.
Plugging in the values, we get:
y - 8 = 2(x + 4)
Simplifying, we get:
y - 8 = 2x + 8
y = 2x + 16
Therefore, the equation of the line parallel to -2x+y=9 that passes through the point (-4,8) is y = 2x + 16.
solve the absolute value equation
2 = |x|-1
Answers
If you're looking for x, then:
2 = |x|-1
lxl-1 = 2
lxl-1+1=2+1
lxl=3
so x = -3, x=3
Is −14 < −34? Use the number line to explain your answer.
Answers
Answer:
No, the reason is because -3/4 is farther away from 0 on the number line while -1/4 is closer to 0. Therefore, -1/4 > -3/4 is the correct answer
Step-by-step explanation:
Which expression results in a rational number?
Answers
Answer:
1
Step-by-step explanation:
it can be the rational number
Answer: 3
Step-by-step explanation:
Square root of 2 times square roof of 8 = square root of 16 = 4
14. Reduce the following expression onto a single fraction.
4x - 5
2x - 1
2
6
Answers
Answer:
\(\frac{5x-7}{3}\)
Step-by-step explanation:
Given
\(\frac{4x - 5}{2} - \frac{2x - 1}{6}\)
Required
Express as a fraction
\(\frac{4x - 5}{2} - \frac{2x - 1}{6}\)
Take LCM
\(\frac{3(4x - 5) - (2x - 1)}{6}\)
Open bracket
\(\frac{12x - 15 - 2x + 1}{6}\)
Collect like terms
\(\frac{12x - 2x- 15 + 1}{6}\)
\(\frac{10x-14}{6}\)
Simplify
\(\frac{5x-7}{3}\)
There are 3 red jelly beans, 5 blue jelly beans, 2 orange jelly beans, and and 5 yellow jelly beans in a bag. Another bag has 1 pink jelly bean, 7 purple jelly beans, and 2 green jelly beans. What is the probability of randomly selecting a blue jelly bean from the first bag and then randomly selecting a green jelly bean from the second bag?
1/15
3/10
7/25
1/4
Answers
The probability of randomly selecting a blue jelly bean from the first bag and then randomly selecting a green jelly bean from the second bag is 1/15 (option a).
Firstly, we need to determine the total number of jelly beans in both bags.
The first bag contains 15 jelly beans (3+5+2+5) and the second bag contains 10 jelly beans (1+7+2).
Therefore, the total number of jelly beans in both bags is 25.
Next, we need to determine the probability of randomly selecting a blue jelly bean from the first bag.
Since there are 5 blue jelly beans out of a total of 15 jelly beans in the first bag, the probability of selecting a blue jelly bean is 5/15 or 1/3.
After selecting a blue jelly bean from the first bag, we move on to the second bag to select a green jelly bean.
Since there are 2 green jelly beans out of a total of 10 jelly beans in the second bag, the probability of selecting a green jelly bean is 2/10 or 1/5.
To determine the probability of both events occurring, we use the multiplication rule of probability.
Therefore, the probability of randomly selecting a blue jelly bean from the first bag and then randomly selecting a green jelly bean from the second bag is (1/3) x (1/5) = 1/15.
Hence, the answer is option (a) 1/15.
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