look at the tables below and determine the slope and y intercept. use this information to write a function rule for each table.
Answers
Answer:
not sure if this is what you're looking for but the function would be
f(x) = x-5
Related Questions
4. Write an equation in slope intercept form for a line with a slope of 3/8
y-intercept = -4.
Answers
(i) 3 (a + 5b) + a (a + 4) (ii) y (10 - y) + 3 (y - 2) (iii) 2 (8a - 5b) + 3 (5a - 12) (iv) 3 (y - 3) + ( 8 - 6y + x) (v) a (a - 2b) + b (b + 2a - c) (vi) 5 (x - y + z) + (4x + 3y) plzz solve
Answers
Answer:
[tex]3 (a + 5b) + a (a + 4) = a^2 + 7a + 15b[/tex]
[tex]y (10 - y) + 3 (y - 2) = - y^2+13y - 6[/tex]
[tex]2 (8a - 5b) + 3 (5a - 12) = 31a -10b - 36[/tex]
[tex]3 (y - 3) + ( 8 - 6y + x) = -3y + x-1[/tex]
[tex]a (a - 2b) + b (b + 2a - c) =a^2 + b^2 - bc[/tex]
[tex]5 (x - y + z) + (4x + 3y) =9x - 2y +5z[/tex]
Step-by-step explanation:
Solving (i):
[tex]3 (a + 5b) + a (a + 4)[/tex]
Open brackets
[tex]3 (a + 5b) + a (a + 4) = 3a + 15b + a^2 + 4a[/tex]
Collect like terms
[tex]3 (a + 5b) + a (a + 4) = a^2 + 4a+3a + 15b[/tex]
[tex]3 (a + 5b) + a (a + 4) = a^2 + 7a + 15b[/tex]
Solving (ii)
[tex]y (10 - y) + 3 (y - 2)[/tex]
Open bracket
[tex]y (10 - y) + 3 (y - 2) = 10y - y^2 + 3y - 6[/tex]
Collect like terms
[tex]y (10 - y) + 3 (y - 2) = - y^2+10y + 3y - 6[/tex]
[tex]y (10 - y) + 3 (y - 2) = - y^2+13y - 6[/tex]
Solving (iii)
[tex]2 (8a - 5b) + 3 (5a - 12)[/tex]
Open bracket
[tex]2 (8a - 5b) + 3 (5a - 12) = 16a -10b + 15a - 36[/tex]
Collect like terms
[tex]2 (8a - 5b) + 3 (5a - 12) = 16a+ 15a -10b - 36[/tex]
[tex]2 (8a - 5b) + 3 (5a - 12) = 31a -10b - 36[/tex]
Solving (iv)
[tex]3 (y - 3) + ( 8 - 6y + x)[/tex]
Open bracket
[tex]3 (y - 3) + ( 8 - 6y + x) = 3y - 9 + 8 - 6y + x[/tex]
Collect like terms
[tex]3 (y - 3) + ( 8 - 6y + x) = 3y - 6y + x- 9 + 8[/tex]
[tex]3 (y - 3) + ( 8 - 6y + x) = -3y + x-1[/tex]
Solving (v):
[tex]a (a - 2b) + b (b + 2a - c)[/tex]
Open bracket
[tex]a (a - 2b) + b (b + 2a - c) =a^2 - 2ab + b^2 + 2ab - bc[/tex]
Collect like terms
[tex]a (a - 2b) + b (b + 2a - c) =a^2 + 2ab- 2ab + b^2 - bc[/tex]
[tex]a (a - 2b) + b (b + 2a - c) =a^2 + b^2 - bc[/tex]
Solving (vi)
[tex]5 (x - y + z) + (4x + 3y)[/tex]
Open brackets
[tex]5 (x - y + z) + (4x + 3y) =5x - 5y +5z+4x +3y[/tex]
Collect like terms
[tex]5 (x - y + z) + (4x + 3y) =5x +4x +3y- 5y +5z[/tex]
[tex]5 (x - y + z) + (4x + 3y) =9x - 2y +5z[/tex]
Hugo cut 15 short strips of paper then he cut 14 long strips how many strips of paper did he go cut in all
A.1 strip of paper
B.28 strip of paper
C.2 strip of paper
D.29 strips of paper
Answers
Answer:
D.) 29
Step-by-step explanation:
Add 15 and 14
18. When an article is sold for $100 a profit of 25% is made on the cost price. What is the cost price?
Answers
Answer:
$80
Step-by-step explanation:
100/1.25 = 80
The cost price of the article that makes a profit of $100 will be $400.
What is the percentage?The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolized by the character '%'.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
When an article is sold for $100 a profit of 25% is made on the cost price.
Let 'x' be the cost price of the article. Then the equation is given as,
25% of x = $100
Simplify the expression, then we have
0.25x = $100
x = $100 / 0.25
x = $400
The cost price of the article that makes a profit of $100 will be $400.
More about the percentage link is given below.
https://brainly.com/question/8011401
#SPJ2
PLEASE HELP
What two numbers that add each other give you -7 but times it give you -120
Answers
To solve this I set up a system of equations. When you add two numbers, let’s say x and y, together you get -7. My first equation is x+y=-7. My second equation is xy=-120, because when you multiply them together you get -120.
x + y =-7
xy = -120
I solved by substitution, so I first got one variable (in this case y) alone on one side of the equation. Let me know if you want me to explain any of these steps further.
x+y = -7
y = -7 - x
I then substituted -7 - x in for y in the other equation.
xy = -120
x(-7 - x) = -120
From here I distributed the x.
-7x -x^2 = -120
-x^2 -7x +120 = 0
-1(x^2 + 7x -120) = 0
-(x-8)(x+15) = 0
x=8,-15
I factored the polynomial to solve for x.
8 + y = -7
y = -15
-15 + y = -7
y = 8
Finally, I solved for y using these values for x. Either way the numbers you get are -15 and 8. To double check this, see that -15+8=-7 and -15(8) =-120
I hope this helps!
Get as many people to answer this question will give brainiest for free!!!!
Answers
Answer:
huh?
Step-by-step explanation:
Write an equation in slope intercept form for the given line (-7,2) and (5,8)
PLEASE HELP ASP 10 MINUTES LEFT TILL THE DEADLINE
Answers
Answer: y= 0.5x + 5.5
Step-by-step explanation: Y = mx + C
SLOPE INTERCEPT FORM:
First we need to find the slope of the two points. Which is y2-y1 / x2-x1.
8 is Y2 and 2 is Y1. 5 is Y2 and -7 is Y1. Plug those numbers into a calculator and solve. The slope (m) is 1/2 or 0.5
Then we have to find C as the slope intercept form is Y = mx + C. To find C we replace x and y with one of the points, and solve as an algebric equation. C will be 5.5
How will the graph of the function f(x) = 3x translate when the function is changed to f(x) = 3(x-2)
Answers
Answer:
Step-by-step explanation:
Subtracting from the x value shifts the graph to the right that many units. In this case the graph is shifted to the right by 2 units.
Answer:
It moves to the right 2
Step-by-step explanation:
:)
Please help me with the question I asked I’m doing a text please.
Answers
Answer:
Wait, what question?? I can try to do it.
The scatter plot shows a scuba diver’s depth in the ocean. The equation of the trend line shown is y = –3.29x – 10.
Predict what the diver’s depth will be after 30 minutes.
____feet below sea level
Answers
Answer:
It's not given a scatter plot not the characteristics of the variables, but it can be safely assumed as shown below
Answer:
The diver's depth will be -42.9 after 30 minutes
Step-by-step explanation:
The equation of the trend (or best fit line) for the scuba diver's depth in the ocean is:
y = -3.29x - 10
Where y is the diver's depth and x is the time in minutes.
To predict the diver's depth at x=30 minutes, substitute in the equation:
y = -3.29(10) - 10
y = -32.9 - 10
y = -42.9
Since no units are provided for y, the answer is:
The diver's depth will be -42.9 after 30 minutes
lol so yes-
Help im very confused....
Answers
Answer:
The answer is the last one. Nerve cell, nerves, brain, nervous system, and mouse. These go from the least complex to the most complex
Answer: nerve cell, nerves, brain, nervous system, mouse
Step-by-step explanation: the human body is more difficult to understand then just a mouse
6a+5=5 what is a in the equation?
Answers
Answer:
a = 0
Step-by-step explanation:
Given
6a + 5 = 5 ( subtract 5 from both sides )
6a = 0 , then
a = 0
7a+5=61 what is a in the equation
Answers
Answer:
a=8
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
7 * 8 = 56
56 + 5 = 61
HELPPP PLEASE !!!!!!!!
Answers
Answer:
20
Step-by-step explanation:
1. First simplify 8a + 4 then substitute a=2 so 8(2) + 4 = 16+4=20
Now you try the rest
Will mark brainly! 20 points please hurry and help!!
Marty is asked to draw triangles with side lengths of 4 units and 2 units, and a nonincluded angle of 30°. Select all the triangles that he could have drawn.
Answers
The correct drawn triangle with an angle of 3 degrees is represented by A, B, and E.
What is geometry?Geometry is the area of mathematics that deals with the characteristics of space and the shapes of particular things as well as the interactions between them in space.
Given that Marty is asked to draw triangles with side lengths of 4 units and 2 units, and a nonincluded angle of 30°.
The triangle must have the properties given below:-
The triangle has the following characteristics: All triangles, regardless of kind, have an angle sum of 180 degrees.The length of a triangle's two longest sides added together is longer than the third side.Similarly to this, the length of the third side of a triangle third side is shorter than the difference between its two sides.The correctly drawn triangles are represented by triangles A, B, and E.
To know more about geometry follow
https://brainly.com/question/15799604
#SPJ6
Christian purchased t-shirts that cost $3 each, and shorts that cost $10 each. His total came up to $66. Let t-shirts be represented by X, and shorts, Y. Write an equation in standard form that represents the situation.
Need help Asap pls will give brainlest whatever it's call
Answers
Answer:
3(x)+10(y)=66$
Step-by-step explanation:
Answer:
3X + 10Y = 66
Step-by-step explanation:
3. A line contains the points P (1,1) and Q (7,10) what is the slop of the line
Answers
Answer:
9/6 is the slope but that simplifies to 3/2
Step-by-step explanation:
y2-y1
x2-x1
10-1=9
7-1=6
What is -536/4 as a mixed number?
Answers
Answer:
-134
We cannot make a "mixed number" because -536-4 can already be divided...
--
As I like to keep my answers short, I hope you have a wonderful day!
Write the number below as a fraction in its simplest form
0.569
Answers
Answer:
[tex] \binom{569}{1000} [/tex]
Step-by-step explanation:
Step 1:
[tex] \binom{0.569}{1} [/tex]
Step 2:
Then multiply both by 1000
[tex] \binom{569}{1000} [/tex]
It cant be simplifyed further so its in simplest form
Gary read 34 pages of a 340-page book. What percent did he read ?
Answers
Answer:
10%
Step-by-step explanation:
Factories:
[tex] {6x}^{2} + 4xy - 3x - 2y[/tex]
answer plzz with formula plzz
Answers
Answer:
[tex][tex] {6x}^{2} + 4xy - 3x - 2y[/tex][/tex]
6x²+4xy-3x-2y
2x(3x+2y)-1(3x+2y)
(3x+2y)(2x-1) is your answer
Jerry plans on saving money for a trip by putting $1 in a savings account the first month and then adding
enough to double the amount in the account each following month. Write a function to show how much money Jerry will have in his savings account s (t) after t months
Answers
9514 1404 393
Answer:
s(t) = 2^(t-1)
Step-by-step explanation:
The amount in the account is the sum of the series ...
1 + 1 +2 +4 +8 +16 +...
We note that terms after the first are a geometric sequence with a first term 1 and a common ratio 2. The sum of such a sequence is ...
Sn = a1×(r^n -1)/(r -1) . . . . where n is the number of terms being summed
For our values, this simplifies to ...
Sn = 1×(2^n -1)/(2 -1) = 2^n -1
We notice here that the account balance is 1 more than this sum, and that n = t-1, so the balance a(t) is ...
s(t) = 1 +(2^(t -1) -1)
s(t) = 2^(t -1) . . . . . . the function showing how much Jerry has
I need help with these questions (see image). Please show workings.
Answers
Answer:
Q1. 37.3 cmQ2. (a) 8.66 cm (b) 17.3 cmStep-by-step explanation:
Question 1
GivenChord 1 c1 = 36 cmChord 2 c2 = 30 cmRadius r = d/2 = 50/2 = 25 cmChords are parallelTo find The distance between the chordsSolutionThe distance between the chords is sum of the distances between the center and the midpoint of the chords
The segments between the center to the midpoints of the chords for right triangles with one side being the radius.
The distance is:
h = h1 + h2 h1 = [tex]\sqrt{r^2 - (c1/2)^2} = \sqrt{25^2 - 18^2} = \sqrt{301}[/tex] ≈ 17.3 cm (rounded)h2 = [tex]\sqrt{r^2 - (c2/2)^2} = \sqrt{25^2 - 15^2} = \sqrt{400}[/tex] = 20 cmh = 17.3 + 20 = 37.3 cm------------------------------------------
Question 2
GivenEquilateral triangle inscribed into circleSide of the triangle is 30 cmTo findDistance between the center and the sideRadiusSolutionMidpoint of the side, the center and the vertex form a right triangle with 30° angle at the vertex.
Let the radius be r, the distance from the center to the side be h
Then we have:
r² = h² + (30/2)²As per property of 30°-60°=90° triangle, the side opposite to 30° is half of the hypotenuse. In this case, h = r/2 or r = 2h
Substitute r into equation above and solve for h:
(2h)² = h² + 2253h² = 225h² = 75h = √75 = 8.66 cm (rounded)Find the value of r:
r = 2*8.66 = 17.3 cm (rounded)Evaluate: 4 + 8 / 2 • (6 - 3)
Answers
Answer:
4 + 8 / 2 · (6 - 3) = 16
Step-by-step explanation:
Use PEMDAS
Parenthesis first
6 - 3 = 3
the equation is now 4 + 8 / 2 · 3
divide 8 and 2 = 4
4 + 4 · 3
multiply 4 and 3 = 12
4 + 12
add 4 and 12 = 16
b.
Convert each rational number in the table to its decimal equivalent.
0
0
20
99
= 0.20
30
99
0.30
45
= 0.45
99
99
10
= 0.10
99
62
= 0.62
99
58
0.58
77
99
0.7
81
= 0.81
99
98
99
0.98
99
Do you see a pattern? Explain.
Can you find other rational numbers that follow similar patterns?
Answers
Answer:
0.39
Step-by-step explanation:
each one is below zero i guess
The students in a science class recorded the change in high temperature for four consecutive days. On days when the
high temperature decreased, the change was recorded as a negative number. On days when the temperature
increased, the change was recorded as a positive number. Which day's temperature change was the greatest?
Day 1: -17°F
Day 3: 14°F
Day 2: -3°F
Day 4: 18°F
Answers
Answer:
Day 3
Step-by-step explanation:
Day 3 Changed by 17 F
Answer:
its day 4
Step-by-step explana
Veronica and Chad are walking down the street. Veronica walks at a speed of 5 miles per hour, and Chad walks at a speed of 4 miles per hour. Write an equation for the distance(d), in miles, each person walks over time(t), in hours. Do the equations represent linear functions?
Answers
Answer:
Veronica:
d=5t
Chad:
d=4t
Step-by-step explanation
yes they do represent linear equations
Your portfolio must include a minimum of the following five types of equations and solutions:
Two one-step equations
Two equations that contains fractions
One equation with distributive property
One equation with decimals
One real-world problem that is solved by an equation
Once you have created each equation, you will solve it and show your work. Pretend that you are teaching the equations to a new pre-algebra student. Or you can actually teach them to a sibling or friend!
This is a total of 7 equations and solutions.
i had gotten a 70 on the 1st try i want a better grade
Answers
Answer: 2 step equations: x-12=4 and 3x=6. Equations that contain fractions: Equations with distributive property: 4x+2=2(x+6). One equation with decimals: 0.75X+25=50. Real world problem that is solved by an equation: Kelly intakes up to 2,000 calories per day. Today she ate breakfast which had 300 calories. For lunch she had 2 pb&j sandwiches with some chocolate milk on the side. That in total had 1,050 calories. When she had dinner she Intakes another 250 calories. For snack she had ice cream which was 150 calories with cookies. If each cookie had 50 calories how many cookies did she have?
Step-by-step explanation:
The images is where I showed all the work
The solution is given below.
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
here, we have,
One-Step Equations:
Number one: x + 6 = 8
Solve: To begin, you must subtract 6 on both sides to get x by itself.
x = 8 When you subtract 6 on both sides, you get x = 8 which is your answer.
This is a one-step equation, meaning it only took us a single step in order to solve this equation.
Number two: x - 5 = 15
Solve: To solve this one-step equation, first, start off by adding 5 on both sides.
Since it's only one step, your answer will be x = 20. All we had to do was add 5 to isolate the variable.
Two equations that contain fractions:
Number one: x - 1/2 = 2/4
Solve: x - 1/2 = 2/4
To begin, we have to add 1/2 to get x by itself. Since 2/4 and 1/2 don't have common denominators, all we have to do is multiply 1/2 by 2/2 to get a common denominator of 4. 1/2 x 2/2 is equal to 2/4. 2/4 + 2/4 is 4/4 which is equal to 1. Your answer is x = 1.
Number two: x + 3/4 = 2/4
Solve: To begin, we have to subtract 3/4 on both sides. Since 2/4 and 3/4 have a common denominator of 4, we can go ahead and subtract right away. 2/4 - 3/4 is equal to -1/4. x = -1/4.
One equation using distributive property:
Number one: 3(x + 2) = 18
Solve: To begin, we have to distribute the 3 to x and 2 (multiply). We get 3x + 6 = 18. To get x by itself, we have to first subtract 6 on both sides. We then get 3x = 12. Now, divide by 3 on both sides so that x is completely isolated, and we get x = 4.
One equation with decimals:
Number one: x + 0.25 = 0.75
Solve: To begin, we have to subtract 0.25 on both sides. When we do this, 0.75 - 0.25, we get x = .50 We can also write this as a fraction .50 is the same thing as 1/2. x = 1/2 or .50
One real-world problem:
Number one: Maria went to the store and she had 20 dollars to spend. She got a notebook for 5 dollars, and she wanted to buy pens with the rest. Each ben cost 5 dollars, how many pens can she buy in total?
Solve: We know that Maria had a total of 20 dollars in total and she already spent 5 dollars. We also know that each pen cost 5 dollars. When knowing this we can write this equation: 5x + 5 = 20. Since we don't know how many pens she's going to buy, we can just write a variable, in this case, x. Now we solve. Just like always, we need to isolate the variable. To do this, we have to first subtract 5. We then get, 5x = 15. Now, divide by 5 on both sides and we get x = 3. That means that Maria can buy a total of 3 pens.
To learn more on equation click:
brainly.com/question/24169758
#SPJ3
HELP HELP PLEASE!! D:
Determine the missing side length:
Please don't give cap!
Answers
Answer:
c = 35
Step-by-step explanation:
[tex]c^{2} = a^{2} + b^{2}[/tex]
[tex]c^{2} = 21^{2} + 28^{2}[/tex]
[tex]c^{2} = 1225[/tex]
[tex]\sqrt{c^{2} } = \sqrt{1225}[/tex]
[tex]c = 35[/tex]
3(x+2)^2+7 in standard form
Answers
Answer:-2x^2+3x-7=0
Step-by-step explanation: