is the relation a function?
Donald's Earnings, x (dollars) Fallons Earnings, y 38 45 43 50 48 55 53 60 58 65 Which equation best represents Fallon's earnings in terms of Donald's earnings? A. y=x+7 B. X=7y C. y=7x D. x=y+7
Given:
The table of values for Fallon's earnings in terms of Donald's earnings.
To find:
The equation that best represents Fallon's earnings in terms of Donald's earnings.
Solution:
In the given table the x-values are increasing by 5 units and y values increasing by 5 units. It means the rate of change of y with respect to x is constant and the table represents a linear function.
If the graph of a linear function passes through two points, then the equation of linear function is
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
Consider any two points from the table. Let the two points are (38,45) and (43, 50). Then, the equation is
[tex]y-45=\dfrac{50-45}{43-38}(x-38)[/tex]
[tex]y-45=\dfrac{5}{5}(x-38)[/tex]
[tex]y-45=1(x-38)[/tex]
[tex]y-45=x-38[/tex]
Adding 45 on both sides, we get
[tex]y=x-38+45[/tex]
[tex]y=x+7[/tex]
Therefore, the correct option is A.
Q1 Expand the following brackets
(a) 5(y + 3) (b) 4(a + 2)
(c) 8(W + 10)
(
(e) 9(s - 1)
(f) 2(8-t)
(g) 7(4 + h)
(i) 4(3y + 2)
6) 5(2p - 1)
(k) 3(7a +2)
Answer:
[tex]a)5y + 15 \\ b)4a + 8 \\ c)8w + 80 \\ e)9s - 9 \\ \: f)16 - 2t \\ \: g)28 + 7h \\ \: i)12y + 8 \\ \: 6)10p - 5 \: \\ k)21a + 6[/tex]
[tex]plzz \: \: mark \: as \: brainliest[/tex]
Which statement is not true in the
equation
y = 0.5x?
Answer:
Are there set answers? Ill edit my answer after.
Step-by-step explanation:
Ms. Johnson is drawing a floor plan of her square room that has an area of 100 ft2. She is using the scale of 0.5 inch =2 ft. What is the length of her room on the floor plan?
Answer:
it's 2.5 inches cool profile pic to
Step-by-step explanation:
Need Help Fast!!!!
Will Mark Brainlist!!!!
Will Rate!!!!
9th Grade Honors Geometry
Answer:
The Correct Answer is 4!
Step-by-step explanation:
We know on triangle 1 that 2 of the sides are 2 and 4 and there a right angle, an angle that has 90 degrees
with this we can calculate the top angle to be 26.565 which combined on both sides is equal to 90, lust you will then have to subtract 90 minus 26.565 and you will get 63.435. Now that we know than the top angle is equal to 63.435, the 2nd angle is equal to 90 degrees which by the way resembles a right angle, and that 1 side of the 3 sides is 2 we can conclude though the triangle formula that...
X=4.
That's it Hope I Helped.
Find DC (Image Below)
Answer:
79239729379249
Step-by-step explanation:
your aswer is 284389300 oo
A coin is tossed 30 times. The experimental probability of the coin showing tails is 40%. How many times did the coin show heads?
Answer: 10 i just had this question
ep-by-step explanation:
Answer:
18
Step-by-step explanation:
Just find the other 60 percent of 30 so just multiply it by 6/10 which is 18
please help asap!!!!!!!!!!!!
7853.98mm
Step-by-step explanation:
Circumference is pi times diameter so the diameter is 100 millimeters
Diameter is 2 times the radius so the radius is 50 millimeters
Area is pi times the radius squared so the area is about 7853.98 millimeters squared
Answer:
A = 795.77
Step-by-step explanation:
Using the formulas
A=πr2
C=2πr
Solving forA
A=C2
4π=1002
4·π≈795.77472
Find f(-2) this is due in 10mins help please
-2f
Step-by-step explanation:
move the -2 to the left of the f
Tom's Ice Cream Shop sold 7 sundaes with nuts and 5 sundaes without nuts. What is the ratio of the number of sundaes with nuts to the number of sundaes without nuts?
Answer:
20 : 28
5 : 7 = 20 : 28. And 7 is a fourth of 28.
A cylinder has a base radius of 10m a height of 18m. What is its volume in cubic
m, to the nearest tenths place?
Answer:
5656 m^3
Step-by-step explanation:
Volume of a cylinder can be calculated using below formula
V = πr²h
Where
h= height =18m
r= radius= radius = 10m
If we substitute the values we have
V = π × (10)²× 18
= 5655.6 m^3
= 5656 m^3
Answer: 5654.9
Step-by-step explanation:
Make the following changes to the number 5.376: Make the 3 worth 10 times as much. Makethe5worth_1 asmuch.
10
Makethe7worth_1 asmuch. 10
Make the 6 worth 10 times as much. Write the new number.
Answer:
Step-by-step explanation:
your mom
What is the area of this composite figure??
Please help! I am so confused!
Answer:
180 cm²
Step-by-step explanation:
Area of Triangle: 1/2bh
You can divide the figure into two parts: top and bottom.
Top:
1/2(4)(12)
1/2 (48)
24
24 • 2 (two triangles) = 48 cm²
Bottom:
1/2(12)(11)
1/2 (132)
66 • 2 (two triangles) = 132 cm²
Add them up: 48 cm² + 132 cm² = 180 cm²
Find the scale factor
A. 3.5
B. 3/5
C. 35
Answer:
3.5
Step-by-step explanation:
35/10 = 3.5
Clear
The perimeter of a regular octagon is 88 mm. How long is each side?
Answer:
11 mm
Step-by-step explanation:
An octagon has 8 sides. This mean that we do 88 divided by 8 to get the length of each side which is 11 mm.
Please help I’ll mark you brainly!
9514 1404 393
Answer:
A. f(x) = (x -3)² -1
B. vertex: (3, -1); axis of symmetry: x=3; x-intercepts: {2, 4}; y-intercept: 8
C. see attached for a graph
Step-by-step explanation:
A. Put the function in vertex form by completing the square. Start by putting parentheses around the terms containing x.
f(x) = (x² -6x) +8
Now, identify the coefficient of x (-6) and square half of that. (-6/2)² = 9. Add this value inside parentheses, and subtract this value outside parentheses.
f(x) = (x² -6x +9) +8 -9
Rewrite the trinomial in parentheses as a square. The constant in the binomial will be the value you squared in the previous step.
f(x) = (x -3)² -1 . . . . . vertex form; a(x -h)²+k for vertex (h, k)
__
B. The vertex and the axis of symmetry can be read from the equation. Here, the vertex is (3, -1). The axis of symmetry is the vertical line through the vertex: x = 3. The x-intercepts are found by solving f(x) = 0.
f(x) = 0
(x -3)² -1 = 0
(x -3)² = 1 . . . . . add the opposite of the 'k' value
x -3 = ±√1 . . . . take the square root. We need both signs.
x = 3 ± 1 . . . . . add 3 to get x by itself. These are the x-intercepts.
x = 3-1 = 2 and x = 3+1 = 4
The x-intercepts are 2 and 4, points (2, 0) and (4, 0).
The y-intercept is the value of f(0). It is the constant in the original form of the function. f(0) = 8 . . . . y-intercept
__
C. The graph is attached. The various points above are marked, and the axis of symmetry is shown.
(this is about Write Expressions)
~~
Eric is 3 times older than his sister Alyssa. Eric is 15 years old. Create an equation to find out Alyssa's age
Answer:
the answer is five because 3 times 5 is 15
Step-by-step explanation:
Answer:
Equation : - three times a number is equal to 15
3x = 15
x = 15 ÷ 3
x = 5
what’s 3-4/7 equal as a fraction?!
Answer:
17/7 or 2 3/7
Step-by-step explanation:
3 is the same as 21/7. Subtract 21/7-4/7 to get 17/7.
Hope it helps!
Hey there. Hope you're having a pleasant morning/evening and wherever else in between. The answer of 3-4/7, as far as I can remember, is -1/7.
Simplify the expression by combining all the like terms 6+2x+5+4x
Answer:
6x+11
Step-by-step explanation:
6+2x+5+4x
4x+2x+6+5
(4x+2x)+(6+5)
6x+11
Answer:
6x +11
Step-by-step explanation:
group like terms (terms with the same variable and powers) together
(2x+4x) + (6+5)
6x +11
Please Help for brainliest and points
Which relation is a function?
{(3, 4), (2, 4), (5, 1), (3, 5)}
{(1, 4), (1, 3), (1, 2), (1, 1)}
{(1, 3), (2, 6), (3, 9), (4, 12)}
{(3, 4), (3, 3), (1, 2), (1, 5)}
Answer:
its 1
Step-by-step explanation:
look it up big dig daddy
Please help me. Thank you so much!
Answer: the answer is d. 7.2 feet
Step-by-step explanation: hope this helps!
Answer each question based on the graph below. How many solutions does this system have? ___________________ List the solution(s) to this system ____________________ What is the x-intercept of the linear equation? ____________________ What is the y-intercept of the quadratic equation? ____________________
Each serving of food at an awards lunch costs $10.46. A total of 42 people attend the lunch.
What is the total cost for the food at awards lunch?
Enter your answer in the box.
Answer:$439.32 us$
Step-by-step explanation: $10.46 x 42
Answer:
439.32
Step-by-step explanation:
I took da test
A bicycle shop is selling $500 bikes at 10% off. If the sales tax is 7%, how much will the bike cost?
Answer:
The bike will cost $481.50
because
10% off of 500 is 50
so 500 - 50 = 450
Now include the sales tax which is
450 * 0.07 = 31.5
Now add the two totals to get
$481.50
please help and show work! :)
Step-by-step explanation:
how do you show work cuz I screenshot it but it won't let me write over the thing and put the answer so can I just type it out
7x^2 + 3 - 5x -\2x^2
Step-by-step explanation:
[tex] {7x}^{2} + 3 - 5x - {2x}^{2} \\ = {5x}^{2} - 5x + 3[/tex]
HELP HELP HELP!!!!!!!
A piece of paper is 0.1 millimeter thick. When folded, the paper is twice as thick.
Find both the explicit and recursive rule for this geometric sequence.
Answer:
sorry i am struggling the same
Step-by-step explanation:
2+2=4
The answers to each part are mentioned below.
What is geometric sequence? What is an exponential function? Differentiate between equation and expression? geometric sequence : A geometric sequence is a special type of sequence where the ratio of every two successive terms is a constant. This ratio is known as a common ratio.function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is a piece of paper is 0.1 millimeter thick. When folded, the paper is twice as thick.
We can write the geometric sequence as -
0.1, 0.2, 0.4, 0.8 ......
The explicit formula for a geometric sequence is of the form -a{n} = arⁿ ⁻ ¹
where [r] is the common ratio.
The recursive formula for a geometric sequence is of the form -a{n} = a{n - 1}rFor the geometric sequence -
0.1, 0.2, 0.4, 0.8 ......
The explicit formula will be : a{n} = (0.1)(2)ⁿ ⁻ ¹ The recursive formula will be : a{n} = 2a{n - 1}If the paper is folded 7 times, we can write the thickness as -
y{7} = (0.1)(2)⁶ = (0.1) x (64) = 6.4
To surpass the Mount Everest, we can write -
8850 < (0.1)(2)ⁿ ⁻ ¹
(2)ⁿ ⁻ ¹ > 88500
(2)ⁿ/2 > 88500
(2)ⁿ > 177000
n log(2) > log(177000)
n > {5.25/log(2)}
n > 17.44
n > 18
Therefore, the answers to each part are mentioned above.
To solve more questions on functions, expressions and polynomials, visit the link below -
brainly.com/question/17421223
#SPJ2
The "h" in the lateral area formula, L = Ph, stands for
