Answer:
(1, 6), (2, 8), (3, 10)
2(1) + 4 = 6, 2(2) + 4 = 8 and 2(3) + 4 = 10.
Step-by-step explanation:
The set of inputs for the equation f ( x ) = 2x + 4 is
( 1 , 6 ) , ( 2 , 8 ) , ( 3 , 10 )
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be f ( x ) = 2x + 4
f ( x ) = y
Now ,
Let the first point be A ( 1 , 6 )
Let the second point be B ( 2 , 8 )
Let the third point be C ( 3 , 10 )
a)
A ( 1 , 6 )
Substitute the value of x and y in the equation , we get
y = 2x + 4
6 = 2 ( 1 ) + 4
6 = 2 + 4
6 = 6
Hence , the input A ( 1 , 6 ) satisfies
b)
B ( 2 , 8 )
Substitute the value of x and y in the equation , we get
y = 2x + 4
8 = 2 ( 2 ) + 4
8 = 4 + 4
8 = 8
Hence , the input B ( 2 , 8 ) satisfies
c)
C ( 3 , 10 )
Substitute the value of x and y in the equation , we get
y = 2x + 4
10 = 2 ( 3 ) + 4
10 = 6 + 4
10 = 10
Hence , the input C ( 3 , 10 ) satisfies
Hence , The set of inputs for the equation f ( x ) = 2x + 4 is
( 1 , 6 ) , ( 2 , 8 ) , ( 3 , 10 )
To learn more about equations click :
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The graph of f(x)=x2 is horizontally stretched by a factor of 2 and then shifted to the left 2 units and down 4 units. Which equation describes the function g that results?
Using shifting concepts, it is found that function g is given by:
[tex]g(x) = \frac{x^2 - 4x - 12}{4}[/tex]
--------------
Horizontally stretching a function f(x) a units is the same as finding [tex]f(\frac{x}{a})[/tex]Shifting a function f(x) a units to the left is the same as finding f(x - a).Shifting a function f(x) down a units is the same as finding f(x) - a.--------------
The parent function is:
[tex]f(x) = x^2[/tex]
--------------
Horizontally stretching by a factor of 2.
[tex]f(\frac{x}{2}) = (\frac{x}{2})^2 = \frac{x^2}{4}[/tex]
--------------
Shifting left 2 units:
[tex]f(\frac{(x-2)}{2}) = \frac{(x - 2)^2}{4} = \frac{x^2 - 4x + 4}{4}[/tex]
--------------
Shifting down 4 units:
[tex]g(x) = f(\frac{(x-2)}{2}) - 4 = \frac{x^2 - 4x + 4}{4} - 4 = \frac{x^2 - 4x + 4}{4} - \frac{16}{4} = \frac{x^2 - 4x - 12}{4}[/tex]
A similar problem is given at https://brainly.com/question/24465194
Find the value of x.
Answer: x=10
Step-by-step explanation:
5x+3=53 subtract 3 from 3 and 53
5x=50 divide both sides by 5
50/5=10
now lets check to be sure
5*10=50+3=53
the solution is correct
hoped this help =)
Find two consecutive even integers
such that twice the larger is 14 less
than 5 times the smaller.
help me
Which of the following statements are true?
The Fire Station and the Worship Center lie on the same side of the transversal and form a linear pair.
The Museum and the Coffee Shop lie on the opposite sides of the transversal and form a pair of alternate exterior angles.
The Bank, the Museum, the Coffee Shop, the Worship Center are interior angles.
O The Day Care and the Park are on the same side of the transversal and form a linear pair.
The Day Care and the Community Center are supplementary angles and on opposite sides of the transversal.
The Bank and the Community Center are on opposite sides of the transversal and form a pair of alternate interior angles.
The Park and the Museum are adjacent angles and form a vertical pair of angles.
The Fire Station and the Community Center are consecutive interior angles lying on the same side of the transversal.
Answer:
*The Museum and the Coffee Shop lie on the opposite sides of the transversal and form a pair of alternate exterior angles
*The Day Care and the Community Center are supplementary angles and on opposite sides of the transversal.
*The Fire Station and the Community Center are consecutive interior angles lying on the same side of the transversal
Step-by-step explanation:
The transversal is the major road that crosses the other two roads shown in the diagram above.
Applying the knowledge of properties of lines, let's consider each statement given, to ascertain which is true and which is untrue:
Statement 1: 'The Fire Station and the Worship Center lie on the same side of the transversal and form a linear pair."
The fire station and the Worship center are on the same side of the transversal, however, they do not form a linear pair. They are corresponding angles.
Statement is NOT TRUE.
Statement 2: "The Museum and the Coffee Shop lie on the opposite sides of the transversal and form a pair of alternate exterior angles."
This statement is TRUE.
The Museum and the Coffee shop form alternate exterior angles pair.
Statement 3: "The Bank, the Museum, the Coffee Shop, the Worship Center are interior angles."
This is NOT TRUE.
They are all EXTERIOR angles.
Statement 4: "The Day Care and the Park are on the same side of the transversal and form a linear pair."
This is NOT TRUE.
They are consecutive interior angles.
Statement 5: "The Day Care and the Community Center are supplementary angles and on opposite sides of the transversal."
This is TRUE.
Statement 6: "The Bank and the Community Center are on opposite sides of the transversal and form a pair of alternate interior angles"
This is NOT TRUE.
They are on opposite side of the transversal but one the bank is an exterior angle while the community center is an interior angle.
Statement 7: "The Park and the Museum are adjacent angles and form a vertical pair of angles."
This is NOT TRUE.
They do not share the same side, so they can't be adjacent angles. They only share the same vertex, which makes them vertical angles.
Statement 8: "The Fire Station and the Community Center are consecutive interior angles lying on the same side of the transversal."
This is TRUE.
What is the relationship between a and b. ?
Jordan bought 7 chicken wings for $14.00. If Jordan spent $36.00, how many chicken wings did he buy?
Answer:
18
Step-by-step explanation:
7/14 = x/36
7*36=14*x
252=14x
x=252/14
x=18
Hope this helped !
If I had 5 mangos and someone took 5 apples, how much would i have left??????
Answer:
oof give me your points
Step-by-step explanation:
A fruit juice box contains 6% juice how is this percent rent as a decimal
Answer:
0.06
Step-by-step explanation:
6% = 0.06
0.06 as a decimal Hope this helped!
10 points!! Scatter plots; please help me!
Answer:
the first green one. yes
Step-by-step explanation:
it looks the clostest to yours
Please help. Will mark brainleist
What is the value of x?
(3x+5)
(8x-3)
Answer:
there are infinite x values
Step-by-step explanation:
Can someone help me with Number 7 i’ll give the brainly thingy
Answer:
$9.50
Step-by-step explanation:
What is the correct sum of 2.34 and 128.8
Answer:
131.14
Step-by-step explanation:
Hope this helps!! Good luck!!
Answer:
131.14
Step-by-step explanation:
2.34 + 128.8 = 131.14
The horse ran the first mile in 132.78 seconds and the second mile in 157.103 seconds. What is the estimated difference in the times?
Answer:
I have no clue sorry
Step-by-step explanation:
sorrytroublechevkers
Answer:
the difference is 24.323 seconds, if you round the numbers and then subtract the difference is 24 seconds
What is the quotient of : 4.652/.3
Answer:
15.51
Step-by-step explanation:
Determine the area of e
1.
4inch
A gas company uses formula c=26+0.05 t worI out the charge t a customer each month
Answer:
more info please!!!
Step-by-step explanation:
Automated electron backscattered diffraction is now being used in the study of fracture phenomena. The following information is on misorientation angle (degrees).
Class: 0−<5 5−<10 10−<15 15−<20 20−<30 30−<40 40−<60 60−<90
Rel freq: 0.179 0.168 0.174 0.135 0.193 0.071 0.051 0.029
Is it true that more than 50% of the sampled angles are smaller than 15°, as asserted by researchers?
A. Yes, the proportion of sampled angles smaller than 15° is greater than 0.50.
B. Yes, the proportion of sampled angles smaller than 15° is not greater than 0.50.
C. No, the proportion of sampled angles smaller than 15° is greater than 0.50.
D. No, the proportion of sampled angles smaller than 15° is not greater than 0.50.
Answer: A. Yes, the proportion of sampled angles smaller than 15° is greater than 0.50.
Step-by-step explanation:
Given the data :
Class: _______ relative frequency
0−<5 __________ 0.179
5−<10 __________ 0.168
10−<15 _________ 0.174
15−<20 _________ 0.135
20−<30 _________0.193
30−<40 _________ 0.071
40−<60 _________ 0.051
60−<90 _________ 0.029
Evaluating the proportion of sampled angles less than 15°. This consist of the following classes :
Class: ________frequency
0−<5 __________ 0.179
5−<10 __________ 0.168
10−<15 _________ 0.174
Summing up the relative frequency values :
(0.179 + 0.168 + 0.174) = 0.521
0.521 * 100% = 52.1%
Hence, more than 50% of the sampled angles are smaller than 15°
Graph y = - 3x + 7 .
Answer:
put your first point at 7 in y axis that point go down 3 to the rights side 1 and your point should be at (1,4) then connect the dots and that's how you graph it
Step-by-step explanation:
The equation of the line y = - 3x + 7 is drawn below.
What is a linear equation?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.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The linear equation is given as,
x/a + y/b = 1
Where 'a' is the x-intercept of the line and ‘b’ is the y-intercept of the line.
The equation of the line is given below.
y = -3x + 7
Convert the line into intercepts form, then we have
y = - 3x + 7
3x + y = 7
x / (7/3) + y / 7 = 1
The equation of the line is drawn below.
More about the linear equation link is given below.
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There are 6 tickets to winning a trip, 10 tickets to winning a computer, and 184 tickets to
winning a pen. What is the probability of winning either a trip or a computer?
Answer:
[tex] \frac{2}{25} [/tex]
is the probability of winning either a trip or a computer
Mel drove 432 miles during his trip. He drove an average of 72 miles per hour. How long was his trip?
Answer:
6h
Step-by-step explanation:
If he drove 72 mph and you know how long he drove, just need to divide:
[tex]Distance / Speed = Time[/tex]
Therefore:
[tex]432 / 72mph = 6h[/tex]
Answer:
hi its just like the dood above me said *dude sorry if i was late
Step-by-step explanation:
What is the smallest value that x^(2)+6 can have?
Answer:
-56.9034
Step-by-step explanation:
will mark brainliest
please help me asap on this word problem! explain.
Answer:
The second one for both a and b.
Step-by-step explanation:
The first cereal box is:
8•3•11=264 inches cubed
the second cereal box is:
10•10•3=300 inches cubed
a. The box that holds more cereal would be the second one, since it has more volume.
b. The box that requires more material to make is the second one, since the it is bigger in volume, therefore, bigger in length and width.
divide (2x^2-5x-3) by (x-3)
Answer:
2x + 1
Step-by-step explanation:
Answer:
The expression simplifies to [tex]2x+1[/tex]
Step-by-step explanation:
To divide the polynomials, we must first factor the trinomial into binomials so we can easily divide it by the binomial. Factoring [tex]2x^2-5x-3[/tex] results in the expression [tex](x-3)(2x+1)[/tex]. Since these two values are multiplied, the [tex](x-3)[/tex] can be canceled out by the divisor, which is the exact same expression. This leaves us with our final answer: [tex]2x+1[/tex].
Kadyn rode his bicycle in a marathon for
176 miles. He took a rest stop every 22
miles. How many rest stops did Kadyn
take?
Kadyn took 8 rest stops.
Step-by-step explanation:
22 x 8 = 176
Answer: The answer is 8
4 thousands divided by 10 = hundreds
Answer:
400
Step-by-step explanation:
brainliest is appreiated
PLEASE HELP ME I WILL GIVE BRAINLIEST!!!!!!
In Exercises 1–4, use these results from a USA Today survey in which 510 people chose to respond to this question that was posted on the USA Today website: "Should Americans replace passwords with biometric security (fingerprints, etc)?" Among the respondents, 53% said "yes." We want to test the claim that more than half of the population believes that passwords should be replaced with biometric security.Number and Proportiona. Identify the actual number of respondents who answered "yes."b. Identify the sample proportion and the symbol used to represent it.
Answer:
The proportion of the population believes that passwords should be replaced with biometric security is not more than 50%.
Step-by-step explanation:
In this case we need to test the claim that more than half of the population believes that passwords should be replaced with biometric security.
Assume that the significance level of the test is, α = 0.05.
The hypothesis can be defined as follows:
H₀: The proportion of the population believes that passwords should be replaced with biometric security is 50%, i.e. p = 0.50.
Hₐ: The proportion of the population believes that passwords should be replaced with biometric security is more than 50%, i.e. p > 0.50.
The information provided is:
[tex]n = 510\\\hat p=0.53[/tex]
Compute the test statistic value as follows:
[tex]z=\frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
[tex]=\frac{0.53-0.50}{\sqrt{\frac{0.50(1-0.50)}{510}}}\\\\=1.354991\\\\\approx 1.35[/tex]
The test statistic value is 1.35.
The decision rule is:
The null hypothesis will be rejected if the p-value of the test is less than the significance level.
Compute the p-value as follows:
[tex]p-value=P(Z>1.35)[/tex]
[tex]=1-P(Z<1.35)\\=1-0.91149\\=0.08851\\\approx0.088[/tex]
p-value = 0.088 > α = 0.05.
The null hypothesis will not be rejected at 5% significance level.
Thus, there is not enough evidence to support the claim.
Conclusion:
The proportion of the population believes that passwords should be replaced with biometric security is not more than 50%.
There are 70 fish in the tank. Half of the fish have orange spots and 1/5 of the remaining fish have orange and black spots. How many fish have orange and black spots?
Answer:
7 orange and black fish
Step-by-step explanation:
a fifth of the remaining fish is 7 because you are doing 35*1/5. 35 is the remaining number of fish because already half of the other fish is 35 and they are orange
How do you do this question?
Answer:
a) -7/9
b) 16 / (n² + 15n + 56)
c) 1
Step-by-step explanation:
When n = 1, there is only one term in the series, so a₁ = s₁.
a₁ = (1 − 8) / (1 + 8)
a₁ = -7/9
The sum of the first n terms is equal to the sum of the first n−1 terms plus the nth term.
sₙ = sₙ₋₁ + aₙ
(n − 8) / (n + 8) = (n − 1 − 8) / (n − 1 + 8) + aₙ
(n − 8) / (n + 8) = (n − 9) / (n + 7) + aₙ
aₙ = (n − 8) / (n + 8) − (n − 9) / (n + 7)
If you wish, you can simplify by finding the common denominator.
aₙ = [(n − 8) (n + 7) − (n − 9) (n + 8)] / [(n + 8) (n + 7)]
aₙ = [n² − n − 56 − (n² − n − 72)] / (n² + 15n + 56)
aₙ = 16 / (n² + 15n + 56)
The infinite sum is:
∑₁°° aₙ = lim(n→∞) sₙ
∑₁°° aₙ = lim(n→∞) (n − 8) / (n + 8)
∑₁°° aₙ = 1