Answer:
Y = 40
Step-by-step explanation:
First, find the slope-intercept of the table
Slope-intercept form: y = mx + b
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
(3, 1) and (6,2)
[tex]m=\frac{y_2-y_1}{x_2-x_1}\\\\m=\frac{2-1}{6-3}\\\\m=\frac{1}{3}[/tex]
[tex]y=mx+b[/tex]
[tex]y=\frac{1}{3}x+b[/tex]
Find b using (6,2):
[tex]y=\frac{1}{3}x+b\\\\2=\frac{1}{3}(6)+b\\\\2=\frac{6}{3}+b\\\\2=2+b\\\\-2\ -2\\\\0=b[/tex]
[tex]y=\frac{1}{3}x+b== > y=\frac{1}{3}x+0== > y=\frac{1}{3}x[/tex]
[tex]y=\frac{1}{3}x[/tex]
What will be the value of Y when X = 120?
Substitute 120 for x into [tex]y=\frac{1}{3}x[/tex]
[tex]y=\frac{1}{3}x\\\\y=\frac{1}{3}(120)\\\\y=\frac{120}{3}\\\\y=40[/tex]
(120, 40)
Therefore, when X = 120, Y = 40
Hope this helps!
Each graph shows a relation. The first and second numbers of each ordered pair in the relation are members of the set of real numbers. In each case, find the domain and range and determine whether the relation is a function.
Answer:
Domain: -2≤ x≤ 0
Range: -2≤ x≤ 2
The relation is a Function
Step-by-step explanation:
The Domain is all the x values.
All the x values are either equal to or greater than -2, and less than or equal to =-0
The Range is all the y values.
Apply the same logic as the domain.
A function is where no x values are the same, and since in this graph we see no vertical line, indicating the same x value, it means it is a function
Will give 20 points for who answer!
Answer:
Equation: y + 1 = -2(x - 0) OR y + 3 = -2(x - 1)
Slope: -2
Y-intercept: (0, -1)
Step-by-step explanation:
First, create an equation in point-slope form using ONE point. Using (0,-1):
y - y1 = m(x - x1)
y + 1 = m(x - 0)
Then, use both points to find slope:
[tex]\frac{y2-y1}{x2-x1} =m[/tex]
[tex]\frac{-1-(-3)}{0-1}[/tex]
[tex]\frac{2}{-1}=m=-2[/tex]
Then, plug the slope into the equation and rewrite in the form of y=mx+b:
y + 1 = (-2)(x - 0)
y + 1 = -2x
y = -2x - 1
-1 = b OR (0, -1)
Final answers:
Equation: y + 1 = -2(x - 0) OR y + 3 = -2(x - 1)
Slope: -2
Y-intercept: (0, -1)
I hope this helps!
Backyard World buys plastic pools from a supplier with an invoice amount of $17,500. The terms of the sale are 5/10, n/30. If the retailer sends a partial payment of $8,300 on the discount date, what is the net amount still due?
Answer:
I think it $10800
Step-by-step explanation:
I have not read how to sole
Mrs. Miller is measuring fabric for costumes for the school's musical. She
needs 10.5 meters of fabric. She has 140 centimeters of fabric. How much more
fabric does Mrs. Miller need?
Answer:
9.1 meters or 910 centimeters
Step-by-step explanation:
10.5 meters = 1050 centimeters
1050 - 140 = 910 centimeters
Grayson spots an airplane on radar that is
currently approaching in a straight line,
and that will fly directly overhead. The
plane maintains a constant altitude of
7225 feet. Grayson initially measures an
angle of elevation of 19 to the plane at
point A. At some later time, he measures
an angle of elevation of 39° to the plane at
point B. Find the distance the plane
traveled from point A to point B. Round
your answer to the nearest tenth of a foot
if necessary.
Using the slope concept, it is found that the distance traveled from point A to point B was of 12060.8 ft.
What is a slope?The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.
At point A, the vertical change is of 7225 feet, with an angle of 19º, hence:
[tex]\tan{19^\circ} = \frac{7225}{x_A}[/tex]
[tex]x_A = \frac{7225}{\tan{19^\circ}}[/tex]
[tex]x_A = 20982.9[/tex]
At point B, the vertical change is of 7225 feet, with an angle of 39º, hence:
[tex]\tan{39^\circ} = \frac{7225}{x_B}[/tex]
[tex]x_B = \frac{7225}{\tan{39^\circ}}[/tex]
[tex]x_B = 8922.1[/tex]
The distance in feet is given by:
[tex]d = x_A - x_B = 20982.9 - 8922.1 = 12060.8[/tex]
More can be learned about the slope concept at https://brainly.com/question/18090623
please help me..... asap
Answer:
collect a sample bacteria from the lake
Answer:
A- collect a sample of bacteria from the lake.
Step-by-step explanation:
It will not help to get bacteria from a RIVER since the scientist wants to learn about the LAKE. Also, getting all the lake bacteria will cause no more bacterial life to thrive, which is bad- but just a single bacteria cell isn't good either since we don't know how it reproduces and one is usually not enough.
A garden store purchased a lawn mower and marked it up 160% from the original cost of $82.67. A week later, the store placed the lawn mower on sale for 10% off. What was the discount price?
The discount price of the lawn mower purchased by the store is $193.45.
What is the discount price?The first step is to determine the selling price of the lawn mower.
Selling price = ( 1 + 1.60) x $82.67 = 214.94
Now determine the price after the discount has been applied.
Discount price = (1 - 0.1) x 214.94 = $193.45
To learn more about how to calculate discounts, please check: https://brainly.com/question/26061308
The mid point of P (10,4) and Q (-4, -6) is: *
Answer:
(-1,3)
Step-by-step explanation:
use x1+ x2 /divide by 2 .BCOS of u need the midpoint of the straight line
The variable y is directly proportional to x. If y=3 when x=5, then what is y when x=20
Answer:
y=12
Step-by-step explanation:
y=k*x
3=5*k
k=3/5
y= (3/5)*x
y=(3/5)*20
y=12
Each week Samantha can pay as much $15 for her school at lunch. Write an inequality showing how much Samantha spends at lunch. I NEED HELP WITH THIS PLEASE!!!!!!!
Answer:
x ≤ 15 - weekly
x ≤ 3 - daily
Step-by-step explanation: sorry, not much info to answer this :(
If m =32, what is the Value of 3(m+5) ? A.37 B. 96 C.101 D.111
Answer:
D) 111
Step-by-step explanation:
help y’all!! it’s gradpoint!! this is the last question & i’ve failed this test so many times :(
Answer:
just study study study
Step-by-step explanation:
you will learned
If the coordinates for C' are (4.5, 4.5), which rule best represents the dilation that was applied to rectangle ABCD to create rectangle A'B'C'D'?
The dilation of rectangle ABCD to create rectangle A'B'C'D' would change the size of the rectangle
The dilation rule is: (x,y) -> k(x,y)
How to determine the rule of dilation?The coordinates of C' is given as:
C' = (4.5, 4.5)
The coordinate of point C is not given.
So, I will apply a general rule
The general rule of dilation is:
(x,y) -> k(x,y)
Where k represents the scale factor.
Assume that k = 3, the the rule would be
(x,y) -> 3(x,y)
Read more about dilation at:
https://brainly.com/question/3457976
A Lorry travels for 4 hours at a speed of 58km/h . Work out the travel distance
Answer: The answer is 9.00988 mi/h
Step-by-step explanation: to be simplified it would be 9.0 or 9 miles an hour
Which fraction below represents a terminating decimal?
A.
B.
C.
D.
Answer:
3/10
Step-by-step explanation:
The fraction, 1/12, can be written as 1/4 * 1/3. Since we know that 1/3 = 0.333333... and it doesn't terminate, we know that 1/12 doesn't terminate. Similarly 2/9 = 2/3*1/3 and 2/3 = 2*1/3, and neither of these fractions terminate. But, when dividing 3/10, you get 0.3, which terminates.
Simplify the problem below and write in standard
form:
–725 + 8x3 – 6x2 – 10x3 – 9
-7x5
If P = (4,7), Find:
r 180° (P)
([?], [])
Answer: (-4,-7)
Step-by-step explanation:
what is 326x2,419
show your work
Answer:
=788594
Step-by-step explanation:
326 x 2,419
=788594
Solving the System of Equations
Examine the system of equations.
4.2x + 8y = 41.8
–4.2x + y = 19.4
Use the linear combination method to solve the system of equations. What is the value of x?
–3
–1
1.7
6.8
Answer:
x= -3
Step-by-step explanation:
Solve the following system:
{8 y + 4.2 x = 41.8
y - 4.2 x = 19.4
In the second equation, look to solve for y:
{8 y + 4.2 x = 41.8
y - 4.2 x = 19.4
y - 4.2 x = y - (21 x)/5 and 19.4 = 97/5:
y - (21 x)/5 = 97/5
Add (21 x)/5 to both sides:
{8 y + 4.2 x = 41.8
y = 1/5 (21 x + 97)
Substitute y = 1/5 (21 x + 97) into the first equation:
{4.2 x + 8/5 (21 x + 97) = 41.8
y = 1/5 (21 x + 97)
4.2 x + (8 (21 x + 97))/5 = ((168 x)/5 + 776/5) + 4.2 x = 37.8 x + 776/5:
{(37.8 x + 776/5) = 41.8
y = 1/5 (21 x + 97)
In the first equation, look to solve for x:
{37.8 x + 776/5 = 41.8
y = 1/5 (21 x + 97)
37.8 x + 776/5 = (189 x)/5 + 776/5 and 41.8 = 209/5:
(189 x)/5 + 776/5 = 209/5
Subtract 776/5 from both sides:
{(189 x)/5 = -567/5
y = 1/5 (21 x + 97)
Multiply both sides by 5/189:
{x = -3
y = 1/5 (21 x + 97)
Substitute x = -3 into the second equation:
Answer: {x = -3, y = 34/5
Answer:
A) -3
Step-by-step explanation:
What is the sum (2 x 1016) + (7 1016) in scientific notation
Answer:9x1016
Step-by-step explanation:
when adding or subtracting in standard form (aka scientific notation), the powers of 10 need to be the same. If they are just add the numbers and keep the same power of 10
#2xx10^(16)+7xx10^(16)
= ( 2 + 7 ) × 10 16
9 × 10 16
Pythagorean theorem. Show your work!
Please help in really stuck!!
Answer:
[tex]\sqrt{81}[/tex] = 9 :)
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
Pythagorean theorem is a^2 + b^2 = c^2.
In this case, a = 12, c = 15, and we do not know the value of "b."
Let's solve by plugging the values in!
12^2 + b^2 = 15^2
144 + b^2 = 225
Subtract 144 on both sides:
b^2 = 81
b = sqrt 81
b = 9
Yo I need to bring up my math grade bad so
4x-5y>20
(please show it graphed already, and step by step, NO LINKS
Answer:
Set both equations equal to 20
4x > 20
-5y> 20
solve by divideing
x >5
y> -4
Solve for X please! Include small explanation as-well
Answer:
x = 26
Step-by-step explanation:
Take the sides in proportion.
7/56 = 8/(2x - 4 + 8)1/7 = 8/(2x+4)2x + 4 = 8(7) = 562x = 52x = 26someone please help
Answer:
[tex]g(g(x)) = {x}^{4} + 14 {x}^{2} + 56 [/tex]
[tex]h(h(x)) = x[/tex]
Step-by-step explanation:
[tex]g(x) = {x}^{2} + 7[/tex]
[tex]g(g(x)) = {( {x}^{2} + 7)}^{2} + 7 [/tex]
[tex]g(g(x)) = {x}^{4} + 14 {x}^{2} + 49 + 7 = {x}^{4} + 14 {x}^{2} + 56 [/tex]
[tex]h(x) = \frac{5}{9x} [/tex]
[tex]h(h(x)) = h( \frac{5}{9x} )[/tex]
[tex]h(h(x)) = \frac{5}{9( \frac{5}{9x} )} = \frac{5}{ \frac{5}{x} } = 5( \frac{x}{5}) = x [/tex]
PLEASE SOLVE. I NEED IT TO BE CORRECT!
Answer:-4,000/ -20
Step-by-step explanation:
hopefully this is right, so you have multiple choice and if so is this up their?
Answer:
198
Step-by-step explanation:
PLEASE HELP ME. I NEED IT TO BE SOLVED.
the correct answer is 21
Answer:
21 (this is given in the simplest form)
the maximum value of 4x - 6 is 54
Answer:
x=15
Step-by-step explanation:
1. Solve
4x-6=54
4x-6+6=54+6 <=== Add 6 to both sides
4x=60
4x÷4=60÷4 <=== divide by 4 on both sides
x=15
2. Check
4x15-6=54 <=== Replace x with 15 to check
60-6=54 <=== 4x15 equals 60
54=54 <=== 60-6 equals 54 and 54=54
so it is correct!!
I NEED THIS RIGHT NOW
Answer:
B
Step-by-step explanation:
If the numerator is one, the denominator is going to be the same value as a normal positve interger.
Answer:
A
Step-by-step explanation:
If z = 10, y = 9, and x = 8, it would fit the fact that z > y and y > x.
If we divide 1 by the variables, then it would be 1/10, 1/9, and 1/8. Imagine this as a pie. 1/8 would be the biggest slice then because it is cut into less pieces. 1/9 would be the second biggest slice because it is cut into less pieces than 1/10. Therefore, A is the correct answer.
I hope this helps and please mark this as brainliest!
help me, Sofia practices swimming and has every day for three weeks. the first day she trains 15 minutes and each day she trains 5 minutes more than the day before She constructs the sequence for the first week of training and determines the elements of the sequence and the type.
Answer:
20
Step-by-step explanation:
you add 15 and 5
for the given equation, enter the value of B when x =10. Bx=20
[tex]b = 2[/tex]
Step-by-step explanation:
[tex]bx= 20[/tex]
insert x=10
[tex]b(10) = 20[/tex]
divide both sides by 10
[tex]b(10) \div 10 = 20 \div 10[/tex]
[tex]b = 20 \div 10[/tex]
simplify
[tex]b = 2[/tex]