Answer:
5x-1
Step-by-step explanation:
f(x) = 3x - 2
g(x) = 2x + 1
f(x) + g(x) = 3x-2 +2x+1
Combine like terms
= 5x-1
Answer:
(f+g)(x)=5x-1
Step-by-step explanation:
To find (f+g)(x), add f(x) and g(x)
f(x)+g(x)
We know that f(x) is equal to 3x-2 and g(x) equals 2x+1.
f(x)=3x-2
g(x)=2x+1
(3x-2)+ (2x+1)
Combine like terms. Add all the terms with a variable, then all the terms without a variable
(3x+2x)+(-2+1)
5x+(-2+1)
5x-1
(f+g)(x)=5x-1
Identify the graph of xy=-8 for theta=pi/4 and write and equation of the translated or rotated graph in general form.
Answer:THE ANSWER IS A
Step-by-step explanation:
CORRECT ON EDGE
Answer:
A
Step-by-step explanation:
edge
Help please! I appreciate all of you people helping me:))
Answer:
∠ b = 12°
Step-by-step explanation:
Complementary angles sum to 90°, thus
a + b = 90 ← substitute a = 78
78 + b = 90 ( subtract 78 from both sides )
b = 12
That is ∠ b = 12°
Maya can run 18 miles in 3 hours, and she can bike 18 miles in 2 hours.
When Maya biked for 3 hours and then ran for 1 hour and 30 minutes, what was her average speed?
Answer:
6mph
Step-by-step explanation:
Speed = distance/time
so you would do 18/3 and you would get 6
Monyne Phillips three coins. What is the probability that the first second and third Cornwall in the same way (either all heads or or tails) SHOW YOUR WORK
Answer:
1 in 8 chance.
Step-by-step explanation:
When a coin flips is has two outcomes: heads or tails, obviously.
Whenever you have a 50/50 probability, in this case a coin, every time you add another coin the amount of outcomes squares, or multiplies by the number of outcomes, and since we are using a coin, two. To reiterate, say we were using a die, a die is a cube, a six sided shape, so there are six outcomes. The chances of getting all sixes with one die is 1 in 6. Add another die and try to get all sixes, the chances become 1 in 36. We got this by multiplying our out comes by our outcomes
1 coin: 2 outcomes
2 coins: 4 outcomes
3 coins: 8 outcomes
Another thing:
Don't be fooled by questions being specific by saying "all heads" or "all tails"...
This is a wording trick, no matter the outcome, the chances will always be equal.
Good luck :)
Which of the following is a counter example for the given conjecture?
Conjecture: All student have school pride.
A. Jose goes to school every day.
B. Jessica studies and is attentive in class.
C. Joanna always wears her school colors and attend all school events she possibly can.
D. John does not wear his school colors and does not attend any school event
Please answer this
Answer:
Hey mate, here is your answer. Hope it helps you.
Step-by-step explanation:
D- John does not wear his school colors and does not attend any school event.
Description in mathematics, a conjecture is a conclusion or a proposition which is suspected to be true due to preliminary supporting evidence, but for which no proof or disproof has yet been found.
The counter-example for the given conjecture is "John does not wear his school colours and does not attend any school event". Therefore, option D is the correct answer.
The given conjecture is "All students have school pride."
We need to identify a counter-example for the given conjecture.
What is a conjecture?In mathematics, a conjecture is a conclusion or a proposition that is proffered on a tentative basis without proof. Some conjectures, such as the Riemann hypothesis or Fermat's Last Theorem, have shaped much of mathematical history as new areas of mathematics are developed in order to prove them.
Now, "All students have school pride" is not true, because not all students have school pride.
The counter-example for this conjecture is "John does not wear his school colours and does not attend any school event"
Therefore, option D is the correct answer.
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2|x-7|=8 solve the equation
Answer:
2x - 7 = 8
2x = 8 + 7
2x = 15 (divide both sides by 2 to get x)
2x/2 = 15/2
x = 7.5
Step-by-step explanation:
Answer:
11, 3
Step-by-step explanation:
Substitute 11
2|11-7|=8
2|4|=8
8=8
Substitute 3
2|3-7|=8
2|-4|=8
2x4=8
8=8
10. A cliff on the seashore is eroding at the rate of 17 centimeters per year. Write and solve an equation to find the number of
years in which the cliff will erode 85 centimeters.
Answer:
The number of years in which the cliff will erode 85 centimeters are:
5 years.Step-by-step explanation:
To solve the question in the text, you must create a formula that includes the rate (17 centimeters per year) and a variable representing the time (t), how I show below:
f(t) = 17tWhere:
t = time in yearsRemember that where are not symbols between two numbers o variables, it means you must multiply (17t actually is 17 * t). Now you only must replace t by years 1 per 1 until obtain the value of 85 (the eroding wanted):
f(1) = 17(1) = 17 f(2) = 17(2) = 34 f(3) = 17(3) = 51 f(4) = 17(4) = 68 f(5) = 17(5) = 85How you can see, when the time is equal to 5, the f(t) or the eroding is 85, the value we wanted.
Tara's car travels about 25 miles on one gallon of gas. She has between 10 and 12 gallons of
gas in the tank. Identify the independent and dependent quantity in the situation. Find
reasonable domain and range values.
A. number of gallons of gas; distance traveled; 10 to 12 gallons; 100 to 120 miles
B. number of gallons of gas; distance traveled; 10 to 12 gallons; 250 to 300 miles
C. distance traveled; number of gallons of gas; 10 to 12 gallons; 250 to 300 miles
D. distance traveled; number of gallons of gas; 250 to 300 miles; 10 to 12 gallons
Answer:
B
Step-by-step explanation:
The independent value is the number of gallons of gas and the dependent value is the distance traveled, because the distance traveled is affected by how much gas is in the tank.
It is also 250 to 300, because 10 and 12 (numbers of how many gallons of gas are in the tank) multiplied by 25 (miles traveled on one can of gas) equals 250 and 300.
The distance traveled; the number of gallons of gas; 250 to 300 miles; 10 to 12 gallons. Then the correct option is D.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
Tara's car travels about 25 miles on one gallon of gas. She has between 10 and 12 gallons of gas in the tank.
The distance traveled in 10 gallons of gas will be
⇒ 25 x 10
⇒ 250 miles
The distance traveled in 12 gallons of gas will be
⇒ 25 x 12
⇒ 300 miles
The distance traveled; the number of gallons of gas; 250 to 300 miles; 10 to 12 gallons. Then the correct option is D.
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Ellen thinks that if a line has no slope, then it never touches the y-axis. Which line proves that her statement is incorrect?
A. x = 0
B. y = 0
C. x = 1
D. y = 1
Answer:
Option D
Step-by-step explanation:
A horizontal line has no slope. The equation 'y=1' graphs as a horizontal line. It passes (0,1). So, it touches the y-axis.
A line with an undefined slope does not touch the y-axis. It is vertical.
Option D should be the correct answer.
ANSWER ALL PLS NOW I NEED THIS ANSWERED
1. 6^2
2. -5^4
3. 3^3
4. -4^3
5. a^3
6. 1/2^6
7. Base is -12 expanded is -12x-12 exponent is 2 standard form is 144
8. Base is 1/2 and expanded is 1/2x1/2x1/2 exponent is 3 standard form is 1/8
9. Base is -9 expanded is -9x-9x-9 exponent is 3 and standard form is -729
10. 8x8x8x8
11. -3x-3
12. 8x8
13. -7x-7x-7x-7x-7
14. 7x7x7
15. 3/4x3/4x3/4x3/4x3/4
1) [tex]6^{2}[/tex]
2) [tex]-5^{4}[/tex]
3) [tex]3^{3}[/tex]
4)[tex]-4^{3}[/tex]
5)[tex]a^{3}[/tex]
6)[tex]2^{6}[/tex]
7) Base= -12 Exponent=2 Expanded= (-12)(-12) Standard Form= -144
8) Base= [tex]\frac{1}{2}[/tex] Exponent= 3 Expanded= ([tex]\frac{1}{2}[/tex])([tex]\frac{1}{2}[/tex])([tex]\frac{1}{2}[/tex]) Standard Form = [tex]\frac{1}{8}[/tex]
9) Base= -9 Exponent= 3 Expanded= (-9)(-9)(-9) Standard Form= -729
10) (8)(8)(8)(8)
11) (-3)(-3)
12) (8)8)
13)(-7)(-7)(-7)(-7)(-7)
14) (7)(7)(7)
15) ([tex]\frac{3}{4}[/tex])([tex]\frac{3}{4}[/tex])([tex]\frac{3}{4}[/tex])([tex]\frac{3}{4}[/tex])([tex]\frac{3}{4}[/tex])
(25 pts) Between which consecutive years was the decrease in the price of gold per ounce the greatest?
1975-76
1973-74
1972-73
1974-75
Answer:
1975-76
Step-by-step explanation:
On this chart, the price of gold per ounce rises almost continuously, until it suddenly drops from the years 1975 to 76 by a margin of about 40 dollars. Therefore, this these are the years with the most decrease. Hope this helps!
Alison, the owner of a regional chain of pizza stores, is trying to decide whether to add calzones to the menu. She conducts a survey of 700 people in the region and asks whether they would order calzones if they were on the menu. 46 people responded “yes.” Create a 90% confidence interval for the proportion of people in the region who would order calzones if they were on the menu.Round your answer to four decimal places.
Answer:
Step-by-step explanation:
Confidence interval is written as
Sample proportion ± margin of error
Margin of error = z × √pq/n
Where
z represents the z score corresponding to the confidence level
p = sample proportion. It also means probability of success
q = probability of failure
q = 1 - p
p = x/n
Where
n represents the number of samples
x represents the number of success
From the information given,
n = 700
x = 46
p = 46/700 = 0.066
q = 1 - 0.066 = 0.934
To determine the z score, we subtract the confidence level from 100% to get α
α = 1 - 0.9 = 0.1
α/2 = 0.1/2 = 0.05
This is the area in each tail. Since we want the area in the middle, it becomes
1 - 0.05 = 0.95
The z score corresponding to the area on the z table is 1.645. Thus, the z score for a confidence level of 90% is 1.645
Therefore, the 90% confidence interval is
0.066 ± 1.645√(0.066)(0.934)/700
= 0.066 ± 0.0094
The lower limit of the confidence interval is
0.066 - 0.0094 = 0.0566
The upper limit of the confidence interval is
0.066 + 0.0094 = 0.0754
Answer:
(0.0503, 0.0811).
Step-by-step explanation:
The confidence interval for the unknown population proportion p is (p^−z⋆p^(1−p^)n−−−−−−−−√,p^−z⋆p^(1−p^)n−−−−−−−−√). The confidence interval can be calculated using Excel.
1. Identify α. Click on cell A1 and enter =1−0.90 and press ENTER.
2. Thus, α=0.1. Enter the number of successes, x=46, and sample size, n=700, in the Excel sheet in cells A2 and A3. To find the proportion of successes, p^, click on cell A4 and enter =A2/A3 and press ENTER.
3. Thus, p^≈0.0657. Use the NORM.S.INV function in Excel to find z⋆. Click on cell A5, enter =NORM.S.INV(1−A1/2), and press ENTER.
4. The answer for z⋆, rounded to two decimal places, is z⋆≈1.64. To calculate the standard error, p^(1−p^)n−−−−−−−−√, click on cell A6 and enter =SQRT(A4∗(1−A4)/A3) and press ENTER.
5. The answer for the standard error, rounded to four decimal places, is p^(1−p^)n−−−−−−−−√≈0.0094. To calculate the margin of error, z⋆p^(1−p^)n−−−−−−−−√, click on cell A7 and enter =A5*A6 and press ENTER.
6. The answer for the margin of error, rounded to four decimal places, is z⋆p^(1−p^)n−−−−−−−−√≈0.0154. The confidence interval for the population proportion has a lower limit of A4−A7=0.0503 and an upper limit of A4+A7=0.0811. Thus, the 90% confidence interval for the population proportion of people in the region who would order calzones if they were on the menu, based on this sample, is approximately (0.0503, 0.0811).
Which set a rational numbers are ordered from least to greatest?
Wrong answers will be reported!!!!
Answer:
The answer to this is A
Step-by-step explanation:
hope it helped
Answer:
A
Step-by-step explanation:
tell me if im right
ram is half his fathers age now. ten years ago he was one third his fathers age then what are their present ages
x - Ram's age now
Ram is half his father's age now, so his father's age is two times Ram's age:
2x - Ram's father age now
x - 10 - Ram's age ten years ago
2x - 10 - Ram's father age ten years ago
ten years ago he was one third his father's age so his father's age was three times Ram's age:
2x - 10 = 3•(x - 10)
2x - 10 = 3x - 30
-10 + 30 = 3x - 2x
20 = x
2x = 2•20 = 40
Answer:
Ram is 20 years old now, Ram's father is 40 years old now.
Please help me!!! :(
Answer:
280
Step-by-step explanation:
7*5*4*2=280
A digital scale measures weight to the nearest 0.2 pound. Which
measurement shows an appropriate level of precision for the scale?
A.130.4 pounds
B.124.75 pounds
C.125 pounds
D.120 pounds
Answer:
A
Step-by-step explanation:
This option contains a number that would appear on this scale.
Answer:130.4
Step-by-step explanation:
have good day
What is the domain of the function y = RootIndex 3 StartRoot x EndRoot?
Negative infinity less-than x less-than infinity
0 less-than x less-than infinity
0 less-than-or-equal-to x less-than infinity
1 less-than-or-equal-to x less-than infinity
Answer:
A
All real number which would be -infinity < x < infinity
The domain of the function is the set of all real numbers given by; Negative infinity less-than x less-than infinity.
What is the domain of the function?According to the task content;
It follows that the function whose domain is to be defined is; y = ³√x.Since, the domain of a function includes all possible values of its input variables (x in this case). It follows that the domain of the function in discuss is; all real number values. This follows from the fact that all the cube root of all real numbers can be evaluated.
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Given the speeds of each runner below, determine who runs the fastest.
Ron runs 8 feet per second.
Liz runs 104 feet in 7 seconds.
Katie runs 1 mile in 526 seconds.
Emily runs 835 feet in 1 minute.
Answer:
Liz
Step-by-step explanation:
lets make all speeds ft/1sec
Ron 8ft/1sec
Liz 104ft/7sec : 104/7=
14.8571428571 ft/1 sec
Katie
1 mile = 5280ft
5280ft/526sec
5280/526=
10.0380228137ft/1 sec
Emily,
1 min= 60 sec
835ft/60 sec
835/60=
13.9166666667 ft/sec
now, lets order from least to greatest
R:8ft/1sec, K:10.0380228137ft/1 sec,
E:13.9166666667 ft/sec, L:14.8571428571 ft/1 sec
Liz's speed is fastest
This sphere has a diameter of 5 m. What is the volume of the sphere?
Answer:
65.46 meters cubed
Step-by-step explanation:
Answer: the answer is V= 125/6πm^3
Step-by-step explanation: edge 2021
help me, please.........
Answer:
de for the second
Step-by-step explanation:
Answer:
Step-by-step explanation:
an altitude - a ( forms with a line an angle of 90 degrees)
a perpendicular bisector- c ( divide the line in 2 equal parts and it is perpendicular on the line)
an angle bisector - d ( divide the angle in 2 equal parts)
a median - b ( a segment between an angle and the middlepoint of the opposite line)
Answer please need help and is struggling
15. The set of ordered pairs represents a function.
{(1,3), (2, 9), (k, 12), (5,9), (8,0)}
Which of these could be the value of k?
A. 0
B. 1
C. 5
D. 8
Answer:
A. 0
Step-by-step explanation:
In a function, all x-coordinates must be different.
The given function already shows 1, 2, 5, and 8 as x-coordinates, so you must choose a number other than those.
Answer: 0
The correct option will be Option A : the value of k will be 0.
What is a function?The function is a relation between two sets where one set is called the domain and another set is the codomain which is one one or many one relations.
If the x or input values are different then the relation will become a function.
So we can say if the x values are repeated and their corresponding y or output values are the same, then also the relation becomes a function.
If the x values are repeated and their corresponding y or output values are different, then the relation will not become a function.
Given the ordered pairs are {(1,3), (2, 9), (k, 12), (5,9), (8,0)
As we know the x value is repeated and the y value is different then the relation will not be a function.
So here in the given ordered pair, there is no any second 12. So k value should not be equal to 1,2,5,8 otherwise it will not be a function.
By checking all the options
0 is not present in x value of the given ordered pair.
Therefore the correct option will be Option A : the value of k will be 0.
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What is the third quartile of this data set 14,18,20,21,25,32,42,46,48
Answer:
40
Step-by-step explanation:
Divide the list of numbers in half.
Since there are 9 numbers (odd number), divide like this :
14, 18, 20, 21 25 32, 42, 46, 48
Find the median of the third one.
(46 + 42)/2 = 44
So the answer is 44
Hope this helped!
please mark me brainliest :)
In the diagram, measure angle 3 = 120° and measure angle 12 = 80°. Which
angle measures are correct? Check all that apply
measure angle 1 = 60°
measure angle 13 = 80
measure angle 6 = 80°
measure angle 5 = 60°
measure angle 10 = 120
measure angle 14 = 100
Answer:
1, 13, 5 are correct
Step-by-step explanation:
Answer: A,B,D,F are correct
Step-by-step explanation:
For the graph, what is a reasonable constraint so that the function is at least 300?
(Graph Below)
A) x ≥ 0
B) −5 ≤ x ≤ 30
C) 0 ≤ x ≤ 25
D) All real numbers
Answer:
C) 0 ≤ x ≤ 25
Step-by-step explanation:
We are supposed to find a reasonable constraint so that the function is at least 300 i.e. the value of x at which f(x) is greater or equal to 300
A)x ≥ 0
Refer the graph
At x = 0
f(x)=300
On increasing the value of x , f(x) increases but at x = 12 it starts decreasing
So, x ≥ 0 can also have f(x)<300
So, Option A is wrong
B)−5 ≤ x ≤ 30
At x = -5
f(x) = 100
So, Option B is wrong since we require f(x) is greater or equal to 300
c)0 ≤ x ≤ 25
At x = 0
f(x)=300
At x = 12 , it starts decreasing
At x = 25
f(x)=300
So, The value of f(x) is at least 300 when 0 ≤ x ≤ 25
D)All real numbers
At x = 30
f(x)=0
But we require f(x) greater or equal to 300
Hence Option C is true
Answer:
C) 0 ≤ x ≤ 25
Its correct! Hope this helps :)
Find an equation of the line passing through the pair of points. Write the equation in the form Ax+By = C.
(-6,3), (-7, - 7)
Answer:
-10x + y = 63
Step-by-step explanation:
Let's find the slope of this line. Going from (-7, -7) to (-6, 3), the "run" is +1 (this is the increase in x) and the "rise" is -10 (y increases by 10). Thus, the slope, m, is m = rise / run = 10 / 1 = 10.
Using the point-slope version of the equation of a straight line, we get
y + 7 = 10(x + 7)
Performing the multiplication results in
y + 7 = 10x + 70.
Rearranging these terms in the form Ax + By = C, we get:
-10x + y = 63
Check this by substituting -6 for x and 3 for y:
-10(-6) + 3 = 63 This is TRUE
A student at a university makes money by buying and selling used cars. Charles bought a used car and later sold it for a 20% profit. If he sold it for $4560, how much did Charles pay for the car? Charles paid $? for the car.
Answer:
He paid $3648
Step-by-step explanation:
If you subtract 20% from 4560 which he sold it for you will get how much he paid for it.
4560 - 20% = $3648
One polygon has a side of length 2 feet. A similar polygon has a corresponding side of length 4 feet. The ratio of the
perimeter of the smaller polygon to the larger is 2/1 or 1/2 or 1/4
What is the solution for x in the equation? 4x − 3 + 5 = 2x + 7 − 8x
Answer:
4x+2= -6x+7
4x+6x=7-2
10x=5
x=1/2
Step-by-step explanation:
What is the surface area of a cylinder with base redius 2 and height 9
Answer:
[tex]138.23units^2[/tex]
Step-by-step explanation:
[tex]A=2\pi rh+2\pi r^2=2*\pi *2*9+2*\pi *2^2=138.23008\\138.23units^2[/tex]
Answer:
44pi
Step-by-step explanation:
Look at the attachment
