The answer is A; every x-value must correspond to ONE y-value only. y-values can correspond with as many x-values as they want, but if you see an x-value corresponding with more than one y-value, that's not a function.
The table represent the function because every x-value corresponds to exactly one y-value.
What is function?In mathematics, a function is represented as a rule that produces a distinct result for each input x. In mathematics, a function is indicated by a mapping or transformation. Typically, these functions are identified by letters like f, g, and h. The collection of all the values that the function may input while it is defined is known as the domain. The entire set of values that the function's output can produce is referred to as the range. The set of values that could be a function's outputs is known as the co-domain.
Given:
Hours of Training Monthly Pay
10 1100
20 1200
30 1300
40 1400
50 1500
60 1600
70 1700
As, We can see the input values are distinct and have corresponding output.
Hence, the table represent the function because every x-value corresponds to exactly one y-value.
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In your own words, explain HOW to find the standard deviation of this data set. (20 points). What does the standard deviation tell you about this data? (20 points). Dr. Cwetna recorded all of the grades on a unit test on the chart below. plz somebody help I need this by today.
How many different 2-digit numbers are there with the following property: each of them has at least one digit 7?
Answer:
18 numbers
Step-by-step explanation:
These are all the two digit numbers with at least one 7.
17, 27, 37, 47, 57, 67, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 87, 97
**true or false**
all functions are relations but not all relations are functions
explain
Answer:
This is true
Step-by-step explanation:
because every function creates by making an one way relation. But relation makes from both side for that reason all relation are not function
The sum of two angles formed by the intersection of two lines is 50°. Find the measures of the angles.
Answer:
The measure of the angle will be 25°
Step-by-step explanation:
when two lines intersect each other, four angles are formed . Two of these angles are equal and the other two angles are also equal. The equality of the of these angles is due to the fact that they are vertically opposite angles.
Vertically opposite angles are equal. Since the sum of two angles formed due to the intersection of the two lines is equal to 50° , the two angles should be equal(vertically opposite angles).
The angles will be 50/2 = 25°. Each angle will be 25°. If we want to find the other 2 angles formed by the intersection we subtract 50 from 360°. we will get 310. The angles will be 310/2 = 155°. Generally the angles formed from the intersection of this 2 lines will be 25°, 25°, 155° and 155°.
Answer:
25 degrees
Step-by-step explanation:
justt trust me
What is an equation of the line that passes through the points (-7, -6) and
(-1,0)?
Answer:
equation of line:
y = mx+c
1) find the gradient, m
[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]
[tex]m = \frac{ - 6 - 0}{ - 7 - ( - 1)} [/tex]
[tex]m = 1[/tex]
2) find y-intercept, c using coordinate (-1,0)
y = mx + c
0 = 1(-1)+ c
-1 + c = 0
c = 1
the equation of line: y = x + 1
Dividing Polynomials Divide x^5+15x^4+54x^3−25x^2−75x−34 by x+8 You must show all of your work to receive credit.
Answer:
Step-by-step explanation:
You can ask me ıf you don't understand :)
7. Use the properties of operations to simplify this algebraic expression. Rewrite the expression by following the directions in each step. 5(x – 4) + 3x – 9x + 7 Step 1: Rewrite the subtraction operations as addition of negative numbers. (1 point) Step 2: Use the distributive property. (1 point) Step 3: Use the commutative property of addition to reorder terms so that like terms are together. (1 point) Step 4: Use the associative property of addition to group like terms. (1 point) Step 5: Simplify. (1 point)
Answer:
-x + -13
Step-by-step explanation:
Rewrite: 5(x – 4) + 3x – 9x + 7
Step 1: 5(x + –4) + 3x + –9x + 7
Step 2: 5x + -20 + 3x + –9x + 7
Step 3: 5x + 3x + –9x + -20 + 7
Step 4: -1x + -13
Step 5: -x + -13
4a-5=3 simplify this pleaseeee
Answer:
Hey there!
Given Equation
4a-5=3
Add 5 on both sides
4a=8
Divide by 4 on both sides
a=2
Hope this helps :)
Answer:
a= 2Step by step explanation
4a - 5 = 3
Add 5 on both sides:
4a - 5 +5 = 3 + 5
Simplify
4a = 8
divide both sides by 4
4a/4 = 8/4
Simplify
a = 2
Hope this helps...
Good luck on your assignment..
Which function has a domain where x does not =3 and a range where y does not =2? A. f(x)=(x-5)/(x+3) B. f(x)=2(x+5)/(x+3) C. 2(x+5)/(x-3) D. (x+5)/(x-3)
Answer: D. (x+5)/(x-3)
Step-by-step explanation:
Domain = Set of all input values of a function.
range = set of all output values of a function.
Given: Domain: [tex]x\neq3[/tex] ; range = [tex]y\neq2[/tex]
We do not include a value for domain if it makes the expression indeterminant .
Since all the functions in options are fractions, here the denominator does not equal to 0.
But in option C and D, the denominator can be zero if x=3.
So , domain for then it [tex]x\in {R-3}[/tex]
Also, for option C if [tex]2=2\dfrac{(x+5)}{(x-3)}[/tex]
[tex]\Rightarrow\ x-3=x+5\\\\\Rightarrow\ -3=5[/tex].which is not true.
Wher as in option D, [tex]2=\dfrac{x+5}{x-3}\Rightarrow\ 2x-6=x+5\Rightarrow\ x=11[/tex]
Hence, Domain: [tex]x\neq3[/tex] ; range = [tex]y\neq2[/tex] is for option D.
Answer:
OPTION D IS NOT CORRECT.
i took the test & selected D and it was wrong.
THE CORRECT ANSWER IS C.
Step-by-step explanation:
2m^2? + 10 = 210
Answer plssss
Answer:10
Step-by-step explanation:subtract 10, divide by 2, then do sqrt of 100
Help me please I need help
Answer:
4 to the power of 8
Step-by-step explanation:
if they have the same base number with a exponent u can add the exponenets together to simplify it but if they dont have the same base number you can not add the exponents together
Answer:
b.
[tex] {4}^{8} [/tex]
Step-by-step explanation:
With the same base you just add the exponents.
Penny received an unexpected $5,000.00 gift from a distant relative. She invests it in a mutual fund that increases the value of the original investment by 8% each year. In 15 years, Penny hopes to have $40,000 available to make a down payment on a house. How much would she need to invest right now in order to have enough for her down payment in 15 years?
Answer:
Penny would need to put in ~ $18,181.82
Step-by-step explanation:
Using the equation [tex]A = P(1+rt)[/tex]
Where A = the total
P is equal to the starting amount
r is equal to the rate (percent)
and t is equal to the total time.
We can put in:
A = $40,000
r = 0.08 (8%)
t = 15
[tex]40,000 = P(1 +(0.08* 15))\\40,000 = P(1+1.2)\\40,000 = P(2.2)\\\frac{40,000}{2.2} = P\\ \frac{200,000}{11} = P\\P = $18181.8181818181...[/tex]
Round to the nearest whole cent
P = $18,181.82
For what value of the variable: is the value of 2x+1 twenty greater than 8x+5?
Answer:
x = 4
Step-by-step explanation:
We would like to find the value of x such that:
2x + 1 = (8x + 5) + 20
Here, notice that the "+ 20" part mathematically represents the "twenty greater" phrase in the problem.
Now, we simply solve for x:
2x + 1 = 8x + 5 + 20
2x + 1 = 8x + 25
6x = 24
x = 4
The answer is thus 4.
~ an aesthetics lover
Answer:
x = -4.
Step-by-step explanation:
The question asks when is 2x + 1 20 more than 8x + 5, which is the same thing as when is 2x + 1 equal to 20 plus 8x plus 5.
2x + 1 = 8x + 5 + 20
2x - 8x = 25 - 1
-6x = 24
x = -4
Hope this helps!
Please help ASAP!! Will give brainliest
Answer:
y^12/5
Step-by-step explanation:
(9x^(5)y^(16))/(45x^(5)y^(4))
y^12/5
Are triangles DEF and LNM similar if LN equals 4, MN equals 3, DE equals 12, and FE equals 9? Yes, by the SAS Similarity Postulate Yes, by the SSS Similarity Postulate No, the corresponding sides are not proportional No, there is not enough info
Answer:
yes, sas
Step-by-step explanation:
12:4 and 9:3 are the same ratio so the sides are proportional. Since they have a congruent angle too, the answer is yes by the SAS Similarity Postulate.
Help, I don't understand
Answer:
5 hours 24 minutes
Step-by-step explanation:
the speed is :279/4.5 = 62 miles per hour (mph)
if he continues on the same speed : 325/62=5 16/62 or 5 hours 24 minutes
hope it works
SOMEONE PLEASE HELP!!!!!!!!!
Solve 2 x - 1 < 7 and 5x + 3 < 3.
A. {x l x < 0}
B. {x l x < 4}
C. {x l 0 < x < 4}
Answer:
Step-by-step explanation:
2x - 1 < 7
Add 1 to both sides
2x - 1 + 1 < 7+1
2x < 8
Divide both sides by 2
2x/2 < 8/2
x < 4
5x + 3 < 3
Subtract 3 form both sides
5x + 3 - 3 < 3-3
5x < 0
x < 0
x <4 & x < 0
So, solution ,
{x / x< 0 }
Answer:
A. {x l x < 0}
Step-by-step explanation:
2 x - 1 < 7 and 5x + 3 < 3.
Solve one inequality at a time
2 x - 1 < 7
Add 1 to each side
2 x - 1+1 < 7 +1
2x <8
Divide by 2
2x/2 <8/4
x <4
Now solve the other
5x + 3 < 3
Subtract 3
5x +3-3 < 3-3
5x<0
x <0
Recombine
x<4 and x<0
We go with the more restrictive and merge the overlapping interval since we have an and
x<0
Write the following Arithmetic Sequence using a Recursive Formula: an = -8 + 2(n - 1)
a. a1 = 2, an = an+1 - 8
b. a1 = -8, an = an+1 + 2
c. a1 = 2, an = an-1 - 8
d. a1 = -8, an = an-1 + 2
Answer:
d) a1 = -8, an = an-1 + 2
Step-by-step explanation:
The formule is:
an = a1 + r*(n - 1)
So:
an = -8 + 2(n - 1)
a1 + r*(n - 1) = -8 + 2(n - 1)
⇒ a1 = - 8 ∧ r = 2
Finally:
r = an - an-1
an = 2 + an-1
The arithmetic sequence using a Recursive Formula is defined as
aₙ = a₍ₙ₋₁₎+2
What is the Recursive Formula?A recurrence relation is an equation that uses a rule to generate the next term in the sequence from the previous term or terms.
Given that, Arithmetic Sequence defined by a Recursive Formula:
aₙ = -8 + 2(n - 1)......(i)
The explicit formula of an AP is
aₙ = a₁ + (n-1)d
Comparing the equations, we get,
a₁ = -8 and d = 2
Now, the recursive formula of an AP is
aₙ = a₍ₙ₋₁₎ +d
Put d = 2,
aₙ = a₍ₙ₋₁₎ +2
Hence, The arithmetic sequence using a Recursive Formula is defined as aₙ = a₍ₙ₋₁₎+2
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Vhen 2.0 moles of magnesium reacts, how many liters of oxygen gas, O2, are needed at STP conditions?
- Mg (3) + O2(g) → 2 Mgo (3)
Answer:
22.4 litres
Step-by-step explanation:
Reaction:
2Mg (s) + O2 (g) → 2 MgO (s)
From the reaction, we know that 2 moles of Mg (s) react with 1 mol of O2
STP conditions mean:
absolute temperature of 273.15 K absolute pressure of 1 atmUsing the equation of state for ideal gases:
PV = nRT
where P is the absolute pressure, T is the absolute temperature, n are the moles, V is the volume, and R is the gas constant = 0.082 atm*L/(mol*K). Solving for V and replacing:
V = nRT/P
V = 1*0.082*273.15/1
V = 22.4 litres
Divide. Simplify(or reduce) 32 dived by seven eights
Answer:
32 divided by 7/8 is 36 and 4/7
Step-by-step explanation:
Think of 32 of a fraction, 32/1. What do you do when you divide fractions by fractions? You invert the fraction that you divide. So basically 32/1 times 8/7 which is 36 and 4/7.
The function h(t) = –16t2 + 28t + 500 represents the height of a rock t seconds after it is propelled by a slingshot.
Answer:
The correct option is D
D) the height of the rock 3.2 seconds after it is propelled
Question:
The question is incomplete as it doesn't say what to find. I know that whole question which is given below
The function h(t) = –16t2 + 28t + 500 represents the height of a rock t seconds after it is propelled by a slingshot.What does h(3.2) represent?
A) the height of the rock 3.2 seconds before it reaches the ground
B) the time it takes the rock to reach the ground, or 3.2 seconds
C) the time it takes the rock to reach a height of 3.2 meters
D) the height of the rock 3.2 seconds after it is propelled
Solution:
h(t) represents the the height of the rock t seconds after it has propelled, where t is the time. If we take t=3.2, it means that we can find the height of the rock 3.2 seconds after it has been propelled by a slingshot, which is represented by the function h(t). Since the explanation given matches the option D, option D is the correct option.
I tried to do this but it makes it wrong :,(
Answer:
177.8cm
tell me if it's right :)
Step-by-step explanation:
Help please and explain it
i posted this one before but it got deleted somehow
Answer:
2) [tex]\frac{1}{4} c[/tex]
3/4 of the cyclists did not finish, thus 1/4 did.
3) [tex]59-t[/tex]
56 people were on the bus. 3 people got on(56+3=59). Then t people got off(-t)
4) [tex]\frac{G}{30}[/tex]
Out of 30 people, g of the are girls
5) [tex]\frac{16}{c}[/tex]
Out of c people, 16 are boys
Hope it helps <3
Hey guys please help find the area
Answer: 120 inches
Step-by-step explanation: because 12 times 10 is 120
I need help with this problem, if anyone could help ASAP, that would be much appreciated. In the figure below, mROP = 125° Find the measure of each arc. For each arc, write two or more complete sentences explaining which theorem or postulate you used to find your answer. Include your equations and calculations in your final answer. find mRP, MQS, MPQR, and MRPQ
Answer:
see below
Step-by-step explanation:
mROP= 125°
mSOQ= mROP= 125°
mROQ=mPOS= 180°-125°= 55°
Sum of measures of all arcs in the circle= 2π
mRP= mQS=2π*125/360=25/36π
mQR=mPS=2π*55/360=11/36π
mPRQ= half circle= 2π/2= π
mRPQ= 2π-mQR= 2π- 11/36π= 61/36π
Which is the correct way to show that (2, 3) is a solution to the following system of
inequalities?
y - X > - 4
2y - 5
1. 3 - 2 > -4 TRUE
2(3) – 5 < 2 TRUE
2. 3 - 2 > - 4 TRUE
2(2) – 5 < 3 TRUE
3. 2 - 3 > - 4 TRUE
2(3) - 5 < 2 TRUE
Answer:
Option 1.
Step-by-step explanation:
Note: In second inequality "<x" is missing after 5.
Consider the given inequalities are
[tex]y-x>-4[/tex]
[tex]2y-5<x[/tex]
If (2,3) is solution of given system of inequalities, then the above inequalities must be satisfy by the point (2,3).
Substitute x=2 and y=3 in the above inequalities and that should be true.
[tex]3-2>-4\Rightarrow 1>-4[/tex] True
[tex]2(3)-5<2\Rightarrow 1<2[/tex] True
Therefore, the correct option is 1.
From the graph y = 10/x^2 shown below, what happens to the y- values as the negative x- values get closer to zero?
a.
They increase
c.
They stay the same
b.
They decrease
d.
cannot be determined from the graph
Answer: a
Step-by-step explanation:
if you look on the x axis and go from the far left to 0 you can see the y values go up and increase.
The y- values as the negative x- values get closer to zero is they decrease the correct option is B.
How to find the function which used to make graph?There are many tools we can use to find the information of the relation which was used to form the graph.
A graph contains data of which input maps to which output.
Analysis of this leads to the relations which were used to make it.
For example, if the graph of a function is rising upwards after a certain value of x, then the function must be having increasingly output for inputs greater than that value of x.
If we know that the function crosses x axis at some point, then for some polynomial functions, we have those as roots of the polynomial.
We are given that;
The function= y = 10/x^2
Now,
As x gets closer to 0 from the negative side, x becomes a larger negative number in magnitude. When we substitute a large negative value for x in y = 10/x^2, the square of this negative number becomes a large positive number, and the fraction 10/x^2 becomes a small positive number.
For example, if we substitute x = -2 into y = 10/x^2, we get:
y = 10/(-2)^2 = 10/4 = 2.5
If we substitute x = -10 into y = 10/x^2, we get:
y = 10/(-10)^2 = 10/100 = 0.1
Therefore, by the graphed function the answer will be they decrease.
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Multiply: (x – 4)(x + 5)
Answer:
x² + x - 20
Step-by-step explanation:
Step 1: Expand using FOIL
x² + 5x - 4x - 20
Step 2: Combine like terms
x² + x - 20
[tex](x-4)(x+5)=x^2+x-20[/tex]
Hope this helps.
Choose the biconditional statement that could be based on the following: P → Q: If a quadrilateral is a parallelogram, then its opposite sides are parallel. Q → P: If its opposite sides are parallel, then a quadrilateral is a parallelogram. Question 1 options: A) P ↔ Q: A quadrilateral is a parallelogram if and only if its opposite sides are parallel. B) P ↔ Q: If a quadrilateral is a parallelogram, then its opposite sides are parallel. C) ∼P → ∼Q: If a quadrilateral isn't a parallelogram, then its opposite sides aren't parallel. D) P → P: If a quadrilateral is a parallelogram, then it's a parallelogram.
Answer:
A quadrilateral is a parallelogram if and only if its opposite sides are parallel AKA Q⇔P
Step-by-step explanation:
A biconditional statement puts a conditional statement in If and Only if form. it does not negate or switch the hypothesis or conclusion.
The symbol is q arrows going both ways (⇔) p
Hope this helps!!
Answer:
A quadrilateral is a parallelogram if and only if its opposite sides are parallel AKA QtoP
Step-by-step explanation:
Speed. One car travels 12 mph faster than another. While one car
travels 141 mi, the other travels 105 mi. How fast is each car
traveling?
Answer: the speeds of the cars are 47mph for the faster one, and 35mph for the slower one.
Step-by-step explanation:
Here you must remember the relation:
Speed = distance/time.
So we have car A and car B, with Sa the speed of car A, and Sb the speed of car B.
We know that:
Sa = Sb + 12mph.
and in the same time T, car A travels 141mi, while car B travels 105mi, then we have:
Sa*T = 141mi
Sb*t = 105mi
we can take the quotient of those two and get:
(Sa/Sb) = 141/105.
now we can replace Sa by Sa = Sb + 12mph.
(Sb + 12mph)/(Sb) = 141/105.
Sb + 12mph = (141/105)*Sb
Sb*(141/105 - 1) = 12mph
Sb = 12mph/(141/105 - 1) = 35mph.
and we know that:
Sa = Sb + 12mph = 35mph + 12mph = 47mph.