Answer:
11x + 20
Step-by-step explanation:
x2 + 9x + 20
2x + 9x + 20
11x + 20
Hope this helped!
Answer:
(x + 5)(x + 4)
Step-by-step explanation:
Assuming you require the expression to be factored
Given
x² + 9x + 20
Consider the factors of the constant term (+ 20) which sum to give the coefficient of the x- term (+ 9)
The factors are + 5 and + 4, since
5 × 4 = + 20 and 5 + 4 = + 9 , thus
x² + 9x + 20 = (x + 5)(x + 4) ← in factored form
Factor each expression. If the expression cannot be factored, write cannot be
factored. Use algebra tiles if needed.
2a. 4x + 28
2b. 3 + 33x
2c. 4x + 35
Linear Sypressions
34
Answer:If the expression cannot be factored, write cannot be factored. 5. 4x + 12. 6. 5x + 35. 7.
Step-by-step explanation:
Jason is the captain of his basketball. The list below shows how many points Jason scores in each of the first 10 games of the season. Would the results show a sample or a population?
Since it was his first 10 games, it doesn’t represent all of the games so I thought it would be sample but many are saying it’s population
Answer:
Sample because it's only the first ten games of the season not of all the games in the season
Step-by-step explanation:
Answer:
Sample but the power of a study is its ability to detect an effect when there is one to be detected. ... A sample size that is too small increases the likelihood of a Type II error skewing the results, which decreases the power of the study.
Within accompaniment order to be a population then it would need to be justifiable to be comparable to a larger cross section same teams different players that could be at the end of the season, and a population that shows cross section of change, such as the inevitable and include distractions that occur in sports as season starts and progresses till end. Examples of this would include ie) playing with man down etc. or against a team with man down or during penalties etc..
It only becomes a population when it defines all home games only being used as a population as this would show less distraction for each team. Which would be unlikely event in first 10 games, just like it would be unfair to not show the differences for away games within a population.
The higher proportion showing the whole season, thereafter would show population as things change too fast in seasonal events.
please go through this and answer any questions I got wrong. thanks
Problem
Solution
(1) 2y = x-8
y = (x-8)/2 =x/2 -4
The correct graph is:
(2) y <= 3
The anwer provided is correct in the graph
(3) y +2/3 x < 4
y < -2/3 x +4
and the graph would be given by:
(4) 6x -2y <=12
-2y <= 12-6x
2y >= 6x -12
y >= 3x -6
And the graph would be given by:
Lines p, q, r, and s are shown in the diagram in the photo attached.
Part A: If line p || line q, which of the numbered angles 1 through 8
must have a measure equal to 84°?
Part B: If line r || line s, which of the numbered angles 1 through 8
must have a measure equal to 84°?
Part C: What must be true in order for m∠1 = m∠6? Explain how
you know.
The required solution for Lines p, q, r, and s has been given.
What are parallel lines?Parallel lines are defined as identical lines with identical orientations, parallel lines never intersect each other but meet at infinity.
here,
Part A:
If line p || line q, then angles 1 and 2 are corresponding angles and have the same measure. Since angle 1 has a measure of 84°, angle 2 must also have a measure of 84°.
Part B:
If line r || line s, then angles 1 and 4 are alternate angles and have the same measure. Since angle 1 has a measure of 84°, angle 4 must also have a measure of 84°.
Part C:
In order for m∠1 = m∠6, line r must be a transversal that intersects lines p and q at points A and B respectively, such that angles 1 and 6 are corresponding angles. This means that angle 1 and angle 6 are in the same position relative to their respective parallel lines and therefore have the same measure.
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solve x/-4 ≥ –1, show your work
Answer:
x≤4
Step-by-step explanation:
Step 1: Simplify both sides of the inequality.
−1/4
x≥−1
Step 2: Multiply both sides by 4/(-1).
(4−1)*(−14x)≥(4−1)*(−1)
Answer:
1. multiply both sides of the equality by -4 and flip the equality sign
that makes the problem: -4×x/-4 >_ -4×(-1)
2.since you multiplied -4 the divisor cancels and you are left with : x<_ -4×(-1)
multiplying 2 negatives makes it a positive so now you get x<_4
What is 2 2/3 in radical form step by step
f(x)= {x+4 if x<5
{8 if 5 < or equal to x<7
{2x-1 if 7 < or equal to x < or equal to 10
for f(x), evaluate the following:
A. f(0)
B. f(6)
show all of your work.
Answer:
A. f(0) = 4
B. f(6) = 8
Step-by-step explanation:
When evaluating a piecewise function, the fist step is to determine the applicable domain. Then the function defined for that domain is the one that is used for the evaluation.
A.x = 0 is in the domain x < 5, so the applicable function is f(x) = x+4.
f(0) = 0 +4 = 4
__
B.x = 6 is in the domain 5 ≤ x < 7, so the applicable function is f(x) = 8.
f(6) = 8
Please help answer correctly !!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!
consider the following research scenario: ivan wants to research how the number of breaks throughout the day can impact fatigue. he gains permission from a local accounting firm and randomly assigns willing participants to take either ten or zero 5-minute breaks across the workday (in addition to regularly scheduled breaks). he then asks participants to complete a questionnaire to assess fatigue. in this study, what is the independent variable and what is the dependent variable? number of 5-minute breaks is the independent variable and fatigue is the dependent variable fatigue is independent variable and number of 5-minute breaks is the dependent variable the participant is the independent variable and number of 5-minute breaks is the dependent variable the participant is the independent variable and fatigue is the dependent variable
The independent variable is the number of 5-minute breaks, and the dependent variable is fatigue.
The cause is the independent variable. Its value is unaffected by the other study variables.
Effect is the dependent variable. Changes in the independent variable affect its value.
The independent variable is a variable in an experimental design that is manipulated or changed by the researcher to observe its effect on the dependent variable. It is also referred to as the "predictor variable" or the "explanatory variable". In the research scenario described, the independent variable is the number of 5-minute breaks (ten or zero) that are assigned to the participants.
The dependent variable is a variable in an experimental design that is being studied and measured to determine its relationship with the independent variable. It is also referred to as the "outcome variable" or the "response variable". In the research scenario described, the dependent variable is fatigue, as Ivan wants to study the impact of the number of 5-minute breaks on fatigue and will measure fatigue levels by using a questionnaire.
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The independent variable is the number of 5-minute breaks, and the dependent variable is fatigue.
The cause is the independent variable. Its value is unaffected by the other study variables.
Effect is the dependent variable. Changes in the independent variable affect its value.
The independent variable is a variable in an experimental design that is manipulated or changed by the researcher to observe its effect on the dependent variable. It is also referred to as the "predictor variable" or the "explanatory variable". In the research scenario described, the independent variable is the number of 5-minute breaks (ten or zero) that are assigned to the participants.
The dependent variable is a variable in an experimental design that is being studied and measured to determine its relationship with the independent variable. It is also referred to as the "outcome variable" or the "response variable". In the research scenario described, the dependent variable is fatigue, as Ivan wants to study the impact of the number of 5-minute breaks on fatigue and will measure fatigue levels by using a questionnaire.
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On his bike, Jason can travel 8 miles in 50 minutes.
At this rate, how far can Jason travel in 150 minutes.
Answer:
24 miles
Step-by-step explanation:
50 minutes = 8 miles
100 miles = 16 miles
150 minutes = 24 miles
Answer:
Jason can travel 24 miles in 150 minutes.
Step-by-step explanation:
8= miles. 50&150= mins
8=50.
Your trying to find how many miles Jason can travel in 150 mins. So your going to divide the new amount of minutes to the old amount.
150÷50= 3.
So since 50 can go into 150 3 full times that means you will multiply the original amount of miles by 3 to get your new amount.
3×8= 24
So, if Jason can travel 8 miles in 50 mins (8=50) Then, he can travel 24 miles in 150 mins (24=150)
Hope this wasn't too confusing,
Hope this helps!
Which of the following expressions is equivalent to the one shown below?
OA. 5.-11
OB. (-11)
14
OC.
(-11)
D. (-11)
145
The expression that is equivalent to (-11/15)⁵ is (-11)⁵/(15)⁵
Indices expressionGiven the expression as shown below
(-11/15)⁵
This expression means that we are to raise the value -11 and 14 raised to the power of 5 individually as shown:
(-11/15)⁵ = (-11)⁵/(15)⁵
Hence the expression that is equivalent to (-11/15)⁵ is (-11)⁵/(15)⁵
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Due at 6:00 where i live help plz plz plz HELP reward brainliest
Answer:im not sure what u mean
Step-by-step explanation:
Answer:
7. 45, 60, 75
8. id k sorry
9. 40, 135, 165
10. 15, 20
Use point-slope form to write the equation of a line that passes through the point
(1,-5) with slope-1.
The equation of a line that passes through the point (1,-5) with slope -1 is y = -x - 4.
Given:
(1,-5) with slope m = -1
The standard slope intercept form is y = mx + c.
substitute m = -1 and (1,-5)
-5 = -1(1) + c
-5 = -1 + c
c = -4.
y = mx + c
y = -1(x) + (-4)
y = -x - 4.
Therefore the equation of a line that passes through the point (1,-5) with slope -1 is y = -x - 4.
Therefore equation of a line that passes through the point (1,-5) with slope -1 is y = -x - 4.
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a soda can has a radius of 3 cm and a height of 12 cm as shown which sets of measurements for a few radius and height could be used to make a cylinder with a volume that is 8 times greater than this can of soda?
Therefore, another set of values for r and h that could be used to make a cylinder with a volume that is 8 times greater than the given soda can are r = 6 cm and h = 24 cm
The given soda can has a radius of 3 cm and a height of 12 cm. The formula for the volume of a cylinder is V = πr²h where r is the radius and h is the height of the cylinder.
To find the radius and height of a cylinder that has a volume 8 times greater than the given soda can, we need to multiply the volume of the soda can by 8, and then solve for the radius and height of the cylinder.
Volume of the given soda can = π(3 cm)²(12 cm) = 339.292 cm³
Volume of the cylinder with 8 times the volume of the soda can = 8 × 339.292 cm³ = 2714.336 cm³
Now, we can substitute the values of V and r²h into the formula V = πr²h and simplify it to solve for the possible values of r and h.πr²h = 2714.336 cm³
Substituting the value of V and r²h, we get:π( r²)(h) = 2714.336
Dividing both sides by π, we get:r²h = 864 cm³
Solving for r and h using the given values:
r = 3 cm
h = 12 cm
Substituting these values in the equation:
r²h = 3² × 12 = 108 cm³
Since r²h = 864 cm³, we can find another set of values for r and h by dividing 864 cm³ by 108 cm³ and multiplying both r and h by that same factor.864 ÷ 108 = 8
Multiplying both r and h by 8, we get:
r = 3 cm × 2 = 6 cm
h = 12 cm × 2 = 24 cm
Therefore, another set of values for r and h that could be used to make a cylinder with a volume that is 8 times greater than the given soda can are r = 6 cm and h = 24 cm
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What is the equation of the line that passes through the point (-2, -2) and has
slope of 3?
Select the correct answer what are the solutions to this quadratic equation 4x^2-10=10-20x
Answer:
x1 = 5-3squareroot 5/2 x2= -5+3 squareroot 5 / 2
Step-by-step explanation:
Emiliano buys two coffees for $8.98. He tips the barista 20% of the bill. How much did Emiliano tip? Round your answer to the nearest cent.
Please help!
The amount for Emiliano tip is $1.8.
How to calculate the value?From the information, Emiliano buys two coffees for $8.98 and he tips the barista 20% of the bill.
The value of the tip will be:
= Percentage × Value of coffee
= 20% × $8.98
= 0.2 × $8.98
= $1.796
= $1.8 to the nearest cent.
This illustrates the concept of multiplication.
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Al 2. Check if the following vectors are a) orthogonal b) linearly independent (1,1,-1), (2, 0, 1), (0, 3, 3)
a) The dot product of the first two vectors is not zero but the dot product of the second pair is zero, the given vectors are not orthogonal.
b) The given vectors are linearly independent.
a) To check if the given vectors are orthogonal, we need to compute the dot products of each pair of vectors and verify that the dot product is zero for all pairs:
(1,1,-1) . (2,0,1) = 2 + 0 - 1 = 1
(1,1,-1) . (0,3,3) = 0 + 3 - 3 = 0
(2,0,1) . (0,3,3) = 0 + 0 + 3 = 3
Since the dot product of the first two vectors is not zero but the dot product of the second pair is zero, the given vectors are not orthogonal.
b) To check if the given vectors are linearly independent, we need to determine whether there exist non-zero constants c₁, c₂, and c₃ such that
c₁(1,1,-1) + c₂(2,0,1) + c₃(0,3,3) = (0,0,0)
This leads to the system of equations:
c₁ + 2c₂ = 0
c₁ + 3c₃ = 0
-c₁ + c₂ + 3c₃ = 0
We can solve this system using elimination or substitution. Without going into details of elimination or substitution, we obtain c₁ = 0, c₂ = 0, and c₃ = 0 as the only solution. This means that the only linear combination of the given vectors that produces the zero vector is the trivial one, where all coefficients are zero.
Therefore, the given vectors are linearly independent.
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Tina divided the rectangle at the right into two smaller parts. Show another way to divide the rectangle into two smaller parts. Write the equation you could use to find the area of the two smaller rectangles.
The equations to find the areas would be:
A = W*(L - x)
A' = W*x
Where W is the width, L is the length, and x is defined by where she divides the rectangle.
So originally, we have a rectangle of length L and width W.
Let's assume that tina divides the length, by cutting "x" of the length to make one of the rectangles.
Then, we have two rectangles of width W, and one has a length of (L - x) and the other has a length of x. (A diagram of this can be seen below).
Then the area of these two rectangles will be:
A = W*(L - x)
A' = W*x
Now we want to see another way of dividing the rectangle, and well, we could also divide it along its width, and the calculations are exactly the same.
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I really need help with this please
Answer:
3x
Step-by-step explanation:
a = 4x - 4
The perimeter is equal to 14x + 8 but it is also equal to 2a + 2b, so
14x + 8 = 2(4x - 4) + 2b
14x + 8 = 8x - 8 + 2b
Let's move 2b to the other side of the equation, we get:
14x + 8 - 2b = 8x - 8
Now, let's move 14x + 8 to the other side too to find what -2b is equal to
-2b = 8x - 14x + 8 - 8
Gonna simplify:
-2b = -6x
Now, let's multiply both sides with -1 to find what 2b is equal to
-2b * -1 = -6x * -1
2b = 6x
Now, we know that 2*b is equal to 6x, but we need to find what side b is equal to, so we gonna divide 6x by two to get what b is equal to
2b = 6x
b = 3x
Side b is equal to 3x
Write in simplest form: what is 2^-3 in simplest form
Answer: 1/8
\(2^{-3}=\frac{1}{2^{3} }=\frac{1}{8}\)
Step-by-step explanation:
Answer:
1/8
Step-by-step explanation:
what is the height of this triangle?
Answer:
XY (height) is approximately 20.8 feet
Step-by-step explanation:
let h = XY
tan60° = h/12
h = 12·tan60°
h = 20.78 ft
a 21-ft ladder is leaning against a building. if the base of the ladder is 9 ft from the base of the building, what is the angle of elevation of the ladder?
A 21-ft ladder is leaning against a building. if the base of the ladder is 9 ft from the base of the building, then the angle of elevation of the ladder will be: α = 71° .
From trigonometry we have:
cos α = 7/21
7 = 21 cos(α)
and:
α = arc cos(7/21) = 70.5 ≈ 71∘
The angle of elevation is the angle between the horizontal line of sight and the article.
Considering that, A 21-ft stepping stool is resting up against a structure. Assuming the foundation of the stepping stool is 9 ft from the foundation of the structure,
Subsequently, Angle of Elevation is x = 71° and the Level of stepping stool arriving at the wall = 21 ft .
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what is the average of 4741, 4261, 4628?
Answer:
4628
I hope it will help you all
seven more then a number is equal to 18. what is the number
Answer:11
Step-by-step explanation:
Which numbers are irrational?
A
1-4
B
5
19
с
0.573
D
13
7
3
E TI
F
V 11
Answer:
i have that same question too i still don't the answer.
Step-by-step explanation:
4 tons =
pounds
PLEASE HELP ASAP!!!!
Answer:
8000 pounds
Step-by-step explanation:
1 ton is 2000 pounds
Therefore we can use the equation: 4x2000 which is:
8000 pounds
Answer:
4 tonnes =
8818.49 pounds
\(4 \: tones \: = \: 8818.49 \: pounds \\ \: is \: the \: answer \: of \: ur \: question\)
F(x) =2x-1 what is the value of f(x) when x = -1
Answer:
f(x) = -3 when x = -1
Step-by-step explanation:
Let's go through this!
So our equation is f(x) = 2x - 1
we are asked for the value of f(x) when x = -1
Let's consider this, the f(x) value is the y value
and the x value in f(x) is the x value
So when x = -1
what is the y value?
we can use the equation to subsitute -1 into x and solve for f(x)
f(x) = 2(-1)-1
f(x) = -3
Our answer is -3
what is the answer to this equation ... 3 + 2c + 5c + 2 ??
Answer:
solution:7c+5
A plane flew 256 miles from London City airport to Newcastle airport. It had an average speed of 192 mph and arrived at 19:15. Work out what time the plane left London City airport. Give your answer using the 24 hour clock.
The time that the plane left London City Airport, given the average speed of the plane and the miles flown, is 17 : 55
How to find the time ?To find the time that the plane left London City airport, find the number of hours the plane spent flying the 256 miles distance at an average speed of 192 mph.
The time can be found by the formula :
= Distance / Speed
= 256 / 192
= 1 .33 hours
0.33 hours in minutes is:
= 0.33 x 60 minutes per hour
= 20 minutes
So the time spent flying was 1 hour 20 minutes
If the plane arrived at 19 : 15 then it must have left at :
= 19 : 15 - 1 hour 20 minutes
= 17 : 55
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