x + 2(x - 4) simplify using distributed property
Answer: 3x-8
Step-by-step explanation:
distribute- 2 times x=2x, and 2 times -4=-8
x+2x-8
combine like terms- x+2x=3x
3x-8
Answer:
[tex]\huge\boxed{\sf{3x-8}}[/tex]
Step-by-step explanation:
Hello.
In order to simplify this expression, we need to
Use the Distributive property (a(b+c)=ab+ac) and distribute 2Combine like terms (add the x's)[tex]\mathbb{THE\:FIRST\:STEP:}[/tex]
Distribute 2:
2(x-4)
2x-8
Step 1 is completed! :) [tex]\checkmark[/tex]
[tex]\mathbb{THE\:SECOND \ STEP:}[/tex]
Combine Like Terms:
x+2x-8
3x-8
Problem Solved! :) [tex]\huge\checkmark[/tex]
I hope it helps & have an outstanding day.
[tex]\boxed{imperturbability}[/tex]
What’s the slope of 4,4 and 5,-4
Answer: -8
Step-by-step explanation: You do y2 which is -4 subtracted by y1 which is 4 over x2 which is 5 subtracted by x1 which is 4 and since the denominator is 1 it becomes just negative 8
Which must be true?
Answer:
i think its C
Step-by-step explanation:
Which is a solution to the quadratic equation 1/4x^2 - x - 8 = 0?
Answer:
its -x-15/2
I'm not sure this is correct but I think that's the answer
what place value is the 9 out of 874.15239
Answer:
100 thousandths
Step-by-step explanation:
Hope this helps:)
9. Higher Order Thinking Andy's team
scored a total of 10 goals in two games.
They scored 1 or 2 goals in the first
game. How many goals could they have
scored in the second game? Explain
how you know.
They scored either 8 or 9 goals in second game.
What is Addition?Combining things and counting them as one big group is done through addition. In math, addition is the process of adding two or more integers together. Addends are the numbers that are added, while the total refers to the outcome of the operation.
As, Total goals = 10 in two games
Let x be the number of goals that a soccer team scored in the first half
and, y be the number of goals that a soccer team scored in the second half
So, x+ y = 10
x= 2 and y = 8
Thus, 2+ 8 = 10
Hence, They scored either 8 or 9 goals in second game.
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Answer:
x = 2 and x = 4
Step-by-step explanation:
The solution of the given equation is shown on the graph
There are two intercepts with coordinates of
(2, 2) and (4, -22)The x-coordinates are
x= 2 and x= 4Correct option is 3 or C.
Answer:
C
Step-by-step explanation:
On the graph, you can see that we are given two points; (2, 2) and (4, -22)
Since we are looking for the value of "x", we need the x value of the given points.
The x values in both points are 2 and 4. Thus are the solutions.
Best of Luck!
Say hi for a big reward. :)
Answer:
Hi
Step-by-step explanation:
Hi
Write the sentence as an inequality. A number n plus 7 is less than or equal to 9.
Answer:
[tex] n + 7 \le 9 [/tex]
Step-by-step explanation:
[tex] n + 7 \le 9 [/tex]
Solve -5(-5m + 5) = -2m – 4
Answer:
m=7/9
Step-by-step explanation:
-5(-5m+5)=-2m-4
25m-25=-2m-4
25m+2m=-4+25
27m=21
÷ 27 ÷ 27 (divide both sides)
m=7/9 or .777 (infinite)
The line shown represents the amount of money left on a gift card, y, after Mina buys lattes. After buying 2 lattes, she has $2 left. What is an equation of the line in point- slope form?
Answer:
[tex] y - 2 = -3(x - 2) [/tex]
Step-by-step explanation:
Given that after she buys 2 lattes, she has $2 left, this represents a point on the line in the graph, which is (2, 2).
Point-slope form of equation for a line is given as [tex] y - b = m(x - a) [/tex]. Where,
(a, b) = a point on the line
m = slope
The equation of the line in point-slope form is given by the formula, [tex] y - b = m(x - a) [/tex], where,
(a, b) = coordinates of a point on the line.
[tex] m = slope = \frac{y_2 - y_1}{x_2 - x_1} [/tex]
We already have values for (a, b) = (2, 2), let's find the slope (m).
Using (2, 2) and any point on the line, such as (0, 8), we can find the slope as follows:
[tex] m = slope = \frac{y_2 - y_1}{x_2 - x_1} = \frac{8 - 2}{0 - 2} [/tex]
[tex] = \frac{6}{-2} [/tex]
[tex] m = -3 [/tex]
Now we know that a = 2, b = 2 , and m = -3. Let's plug in this values into the point-slope equation as shown below:
[tex] y - b = m(x - a) [/tex]
[tex] y - 2 = -3(x - 2) [/tex]
What is the value of y in the equation 2(3y + 7 + 5) = 196 − 16?
Answer:
y = 26 I think lol
Step-by-step explanation:
2(3y + 7 + 5) = 196 - 16
196 - 16= 180
2(3y + 7 + 5) = 180
6y + 14 + 10 = 180
6y + 24 = 180
6y = 180 - 24 = 156
6y = 156
y = 156 divided by 5
y= 26
A bird park has black and white birds in the ratio of 8 to 2 as shown below:
8 black birds and 2 white birds are shown
Which is another ratio that can describe the black to white birds?
4 to 1
1 to 4
1 to 7
7 to 1
Answ3r:
A.) 4 to 1
Step-by-step explanation:
yup!
Answer:
4 to 1
Step-by-step explanation:
If xy=6x , yz=12, and xz=48. Find the value of x
Answer:
Use Tiger Algebra it helps with all answers i just didn't feel like typing it
Step-by-step explanation:
Find the equation of the line shown
Answer:
-4 times, multiply, divide, subtract or add by 1
-4 is on the x line and (x) comes first in the equation. so x + y. Or whatever way your finding the answer.
Albuterol is used to calm bronchospasm. It has a biological half-life of 7 hours and is normally inhaled as a 1.25 mg dose. (Note: Use the concepts of half-life or doubling time. The biological half-life of a substance is the amount of time it takes for the physiologic or radiologic activity of that substance to reduce by half.)
Required:
a. Find a model for the amount of albuterol left in the body t hours after an initial dose of 1.25 mg.
b. How much albuterol is left in the body after 24 hours?
Answer:
a. N(t) = 1.25 (1/2)^t/7
b. 0.1160933038mg.
Step-by-step explanation:
The formula for half life =
N(t) = No(1/2)^t/t½
Where N(t) = Amount of Substance left
No = Initial amount not Substance
t = time after t years
t½ = Half life of the substance
From the question:
No = 1.25mg
t½ = 7 years
a. Find a model for the amount of albuterol left in the body t hours after an initial dose of 1.25 mg.
N(t) = No(1/2)^t/t½
No = 1.25mg
t½ = 7 years
N(t) = 1.25 (1/2)^t/7
b. How much albuterol is left in the body after 24 hours?
Using the model in the above question
N(t) = 1.25 (1/2)^t/7
N(t) = 1.25(1/2)^24/7
N(t) = 1.25(0.5)^3.4285714286
N(t) = 0.1160933038mg
Therefore, the quantity of albuterol left in the body after 24 hours is 0.1160933038mg.
The number of bacteria in a refrigerated food product is given by N(T) = 26T2 - 123T + 25,
5
When the food is removed from the refrigerator, the temperature is given by T(t) = 4t + 1.2 , where t is
the time in hours.
Find the composite function N(T()):
N(T()) 26( T - t)2 – 123(1)
syntax error.
Find the time when the bacteria count reaches 16044. Give your answer accurate to at least 2 decimal
places.
Time Needed = 10845768.99233358
hours
Question Help: Message instructor
Submit Question
Answer:
(A)
N(T(t)) = 416t² - 242.4 - 135.16
(B)
Time = 27.30 hours
Step-by-step explanation:
Given
N(T) = 26T² - 123T + 25
T(t) = 4t + 1.2
Solving for the composite function.
Substitute T for 4t + 1.2 in N(T)
N(T(t)) = 26(4t + 1.2)² - 123(4t + 1.2) + 25
N(T(t)) = 26(4t+1.2)(4t + 1.2) - 123(4t + 1.2) + 25
N(T(t)) = 26(16t² + 9.6t + 1.44) - 492t - 147.6 + 25
N(T(t)) = 416t² + 249.6t + 37.44 - 492t - 172.6
N(T(t)) = 416t² + 249.6t - 492t + 37.44 - 172.6
N(T(t)) = 416t² - 242.4 - 135.16
Solving for time.
We have that
N(T) = 16044
N(T) = 26T² - 123T + 25
This gives
16044 = 26T² - 123T + 25
26T² - 123T + 25 - 16044 = 0
26T² - 123T - 16019 = 0
Solve by quadratic, we have.
T = 27.299506396472
Or
T = -22.568737165703
Since time can't be negative
T = 27.299506396472
T = 27.30 (approximately)
rewrite 8 1/2 as an improper fraction
Answer:
17/2
Step-by-step explanation:
8 × 2 = 16 adding 1 = 17
29 + 43 using mental math
Answer:
72
Best of luck
Step-by-step explanation:
27.5% of US adults are college graduates.
A) Use StatKey or other technology to generate a sampling distribution for the sample proportion of college graduates using a sample size of n = 5. Generate at least 1000 sample proportions. Give the center of the sampling distribution and give the standard error.
B) Repeat part (a) using a sample size of n = 500.
C) If we took many samples of size 50 from the population of all inductees and recorded the proportion who were performers for each sample, what shape do we expect the distribution of sample proportions to have where do we expect it to be centered?
Complete Question
The complete question is shown on the first uploaded image
Answer:
a
center is 0.275
[tex]SE = 0.063[/tex]
b
center is 0.275
[tex]SE = 0.020[/tex]
Step-by-step explanation:
considering question a
From the question we are told that
The sample size is n = 50
The proportion of US adults are college graduates is p = 0.275
Generally the center is equivalent to the proportion so the center is 0.275
Generally the standard error is
[tex]SE = \sqrt{\frac{p * (1- p)}{ n} }[/tex]
=> [tex]SE = \sqrt{\frac{0.275 * (1- 0.275)}{ 50} }[/tex]
=> [tex]SE = 0.063[/tex]
considering question b
The sample size is n = 500
The proportion of US adults are college graduates is p = 0.275
Generally the center is equivalent to the proportion so the center is 0.275
Generally the standard error is
[tex]SE = \sqrt{\frac{p * (1- p)}{ n} }[/tex]
=> [tex]SE = \sqrt{\frac{0.275 * (1- 0.275)}{ 500} }[/tex]
=> [tex]SE = 0.020[/tex]
In the sampling distribution, the center of the sampling distribution is 0.275 and the standard error is 0.063.
What is sampling distribution?A sampling distribution simply means the probability distribution that is gotten from a larger number of samples that are drawn from a population.
In this case, the center of the sampling distribution is 0.275 and the standard error is 0.063. The standard error will be:
= [p × (1 - p)]/n
= [0.275 × (1 - 0.275)]/50
= 0.0039875
= ✓0.0039875
= 0.063
Also, when the sample is 500, the center of the sampling distribution is 0.275 and the standard error is 0.020.
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7th grade math help me plzzz
Answer:
a. -10 + 8
b. -20 +10
c. -20 + 20
d. -20 +5
Step-by-step explanation:
can u give me brainliest please?? :>
PQ=2x+1 and QR=5x-44; Find PR
Answer:
x=15
Step-by-step explanation:
subtract 1 from both sides so you are left with 2x=5x-45
then subtract 5x from both sides and you have -3x=-45
then finally divide -3 from -45 to get x=15
Find the slope of the line.
A. -1/3
B. 1/3
C. 3
D. -3
solve by factoring
k2 +6k =16
Answer:
k=2 k=-8
Step-by-step explanation:
7. Jenny wants to buy some shoes. She found the shoes at the store for a 10 points
price of $35. The store is having a 15% off everything sale. How much
does Jenny pay for the shoes not including tax?*
$36.75
$40.25
$29.75
$5.25
had were nurnle. If there were 10 points
Answer:
Step-by-step explanation:
How do I make my question?
The quantity demanded x of a certain brand of DVD player is 3000/week when the unit price p is $485. For each decrease in unit price of $20 below $485, the quantity demanded increases by 250 units. The suppliers will not market any DVD players if the unit price is $350 or lower. But at a unit price of $525, they are willing to make available 2500 units in the market. The supply equation is also known to be linear. (a) Find the demand equation. p(x) = (b) Find the supply equation. p(x) = (c) Find the equilibrium quantity and the equilibrium price. PLEASE help I am totally lost on this
Answer:
a) Demand equation :[tex]y=-\frac{2}{25}x+725[/tex]
b) Supply equation : [tex]y=\frac{7}{100}x+350[/tex]
C) The equilibrium quantity and the equilibrium price are 2500 and $ 525 respectively
Step-by-step explanation:
We are given that For each decrease in unit price of $20 below $485, the quantity demanded increases by 250 units.
Since decrease in unit price of $20 increase demand by 250 units
So, Slope =[tex]\frac{-20}{250}=\frac{-2}{25}[/tex]
We are given that The quantity demanded x of a certain brand of DVD player is 3000/week when the unit price p is $485.
Now for demand equation:
Use point slope form : [tex]y-y_1=m(x-x_1)[/tex]
So, [tex]y-485=\frac{-2}{25}(x-3000)\\y=-\frac{2}{25}x+725[/tex]
a)So, Demand equation : [tex]y=-\frac{2}{25}x+725[/tex]
Now to find supply equation
We have two points (0,350) and (2500,525)
[tex](x_1,y_1)=(0,350)\\(x_2,y_2)=(2500,525)\\y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\y-350=\frac{525-350}{2500-0}(x-0)\\y-350=\frac{7}{100}x\\y=\frac{7}{100}x+350[/tex]
b) So, Supply equation : [tex]y=\frac{7}{100}x+350[/tex]
Now to find equilibrium quantity and price equate demand and supply equation
[tex]-\frac{2}{25}x+725=\frac{7}{100}x+350\\725-350=\frac{7}{100}x+\frac{2}{25}x\\x=2500[/tex]
So, equilibrium quantity = 2500
To find equilibrium price substitute equilibrium quantity in any equation
[tex]y=\frac{7}{100}x+350\\y=\frac{7}{100}(2500)+350\\y=525[/tex]
C) The equilibrium quantity and the equilibrium price are 2500 and $ 525 respectively
If you draw a tree to show the number of ways to spin a spinner with five regions twice, how many possibilitdies would there be? There would be possibilities.
There are 5 spaces and 2 slots, so there are 5*5 = 25 different outcomes.
Think of a table that has 5 rows and 5 columns. There would be 25 cells in this table. Each cell is a different outcome.
The probability tree would have 5 branches on the upper level. Then for each upper branch, there are 5 lower sub-branches. Add up all the possible paths and you should find 25 total paths (each path representing a different outcome).
The table lists several points that form a line on a coordinate plane.
x y
4 6
12 8
16 9
28 12
Based on the information in the table, what are the y-intercept and slope of the line described by these points?
The y-intercept and slope of the line described by these points will be y = (1/4)x + 5.
What is the equation of a line passing through two points?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
Let the equation of the line pass through (x₁, y₁) and (x₂, y₂). Then the equation of the line is given as,
[tex]\rm (y - y_2) = \left (\dfrac{y_2 - y_1}{x_2 - x_1} \right ) (x - x_2)[/tex]
Taking only two points from the table will be (4, 6) and (12, 8). Then the equation of the line is given as,
(y - 6) = [(8 - 6) / (12 - 4)](x - 4)
y - 6 = 1/4(x - 4)
y - 6 = (1/4) x - 1
y = (1/4)x + 5
The y-intercept and slope of the line described by these points will be y = (1/4)x + 5.
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Determine by inspection whether the vectors are linearly independent. Justify your answer. [ 8 [ 12 -6 -9 4] 6]A. The set of vectors is linearly independent because nothing times the first vector is equal to the second vector. (Type an integer or a simplified fraction.) B. The set of vectors is linearly dependent because nothing times the first vector is equal to the third vector. (Type an integer or a simplified fraction.) C. The set of vectors is linearly dependent because one of the vectors is the zero vector. D. The set of vectors is linearly independent because none of the vectors are multiples of the other vectors.
✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅
Option C is correct, the set of vectors is linearly dependent because one of the vectors is the zero vector.
What is Matrix?A matrix is a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns.
To determine if the set of vectors is linearly independent, we need to check if any of the vectors can be expressed as a linear combination of the others.
Let's consider the first vector [8 -6 4].
If we try to express this vector as a linear combination of the other vectors, we get:
[8 -6 4] = a[12 -9 6] + b[0 0 0]
where a and b are constants.
We can immediately see that this equation has infinite solutions, because the third component of the second vector is zero, which means we can choose any value for b and still satisfy the equation.
Therefore, the set of vectors is linearly dependent.
Hence, Option C is correct, the set of vectors is linearly dependent because one of the vectors is the zero vector.
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Determine by inspection whether the vectors are linearly independent. Justify your answer.
[8 -6 4][12 -9 6]
A. The set of vectors is linearly independent because nothing times the first vector is equal to the second vector. (Type an integer or a simplified fraction.)
B. The set of vectors is linearly dependent because nothing times the first vector is equal to the third vector. (Type an integer or a simplified fraction.)
C. The set of vectors is linearly dependent because one of the vectors is the zero vector.
D. The set of vectors is linearly independent because none of the vectors are multiples of the other vectors.
I need some help with this question.
Answer:
it is stq utv
Step-by-step explanation:
Answer:
its top right option
Step-by-step explanation: