Find the equation of the linear function represented by the table below in slope-intercept form.
Answers
Answer:
y=-5x+1
Step-by-step explanation:
First lets identify what slope intercept form looks like:
y=mx+b
m=slope
b=y-intercept
the y-intercept would be at (0,1)
choose 2 points from the graph and lets find the slope.
The formula for slope is:
[tex]\frac{y_{2} - y_{1}}{x_{2} - x_{1} }[/tex]
The points we will be using will be (1,-4) and (2,-9)
so -9 will be [tex]y_{2}[/tex] and -4 is [tex]y_{1}[/tex]
2 is [tex]x_{2\\}[/tex] and 1 is [tex]x_{1}[/tex]
set up the equation.
[tex]\frac{-9-(-4)}{2-1}[/tex]
[tex]\frac{-5}{1}[/tex]
m = -5
So the slope is -5 and the y-intercept is 1
[To find the y-intercept all you have to do is find what y is counting by. In this is would be -5. Go backwards one on the table so x is 0 and take away -5 and it will give you 1 which would be the intercept]
So the equation will be
y=-5x+1
Now when you want to solve it you plug in the x and y values for the table but it doesn't ask you to do that,
I've included a picture so you have a visual.
If you need further assistance, don't be afraid to reach out. Hope this helps!
Related Questions
What is the simplest form of the expression (14.2a + 9.8b) – (13.1b – 0.2a) – (3.7a + 4.8b)
Answers
Answer:
10.7a-8.1b
Step-by-step explanation:
Answer: 24.3a - 8.1 + 0.29
Step-by-step explanation:
YOUR WELCOME
1/5 ÷ 2
Explain how you could use multiplication to help check your answer to Number 1
Answers
Answer:
1/10
Step-by-step explanation:
you can find the reciprocal of 2 (which is 1/2) and multiply it to 1/5 and get 1/10, that is your answer
I hope this answer helped, and if it was correct, please mark this as brainliest! Thank you!
Answer:
1/10
Step-by-step explanation:
You first divide and then divide just becomes multiplication(I know its weird)
K(Keep) C(Change) F(Flip)
(1/5 ) (division becomes) x (The whole number 2 becomes the recipicol 1/2)
Then you multiply 1/5 times 1/2 =1/10
simplify (6^-2) (3^-3) (3•6)^4
Answers
Answer:
0.1728
Step-by-step explanation:
6^-2= 1/6^2
3^-3= 1/3^3
1/36 * 1/27 * 3.6 * 3.6 * 3.6
= 0.1728
A sandwich shop prepares 3 sandwiches in 126 seconds and 8 sandwiches in 336 seconds. At this rate, how many seconds will it take to prepare 5 sandwiches?
Answers
Answer: 210 seconds.
Time ÷ sandwiches
126 ÷ 3 = 42
336 ÷ 8 = 42
So it takes 42 seconds to make 1 sandwich.
42 seconds × 5 sandwiches = 210 seconds.
1
Mary and Darryl are selling flower bulbs for a school fundraiser. Customers can buy bags of
windflower bulbs and bags of daffodil bulbs. Mary sold 10 bags of windflower bulbs and 4
bags of daffodil bulbs for a total of $226. Darryl sold 6 bags of windflower bulbs and 4 bags of
daffodil bulbs for a total of $166. What is the cost each of one bag of windflower bulbs and
one bag of daffodil bulbs?
Answers
Answer:
15 windflower bulbs
19 daffodil bulbs
Step-by-step explanation:
Given
Represent windflower with W and daffodil with D.
So:
Mary's sales is:
10W + 4D = 226 --- (1)
Darryl's sales is:
6W + 4D = 166 ---- (2)
Required
Solve for W and D
We'll make use of elimination method.
Start by subtracting (2) from (1)
10W - 6W + 4D - 4D = 226 - 166
4W = 60
Multiply both sides by ¼
¼ * 4W = 60 * ¼
W = 60 * ¼
W = 15
Substitute 15 for W in (1)
10W + 4D = 226
10 * 15 + 4D = 226
150 + 4D = 226
Collect like terms
4D = 226 - 150
4D = 76
Multiply both sides by ¼.
¼ * 4D = 76 * ¼.
D = 19
Which illustration shows the particles of a solid.
Answers
Answer:
C
Step-by-step explanation:
The particles of a solid are tightly packed together. The one that is the most tightly packed is C. Also, B is the particles of a liquid, and A is the particles of a gas.
Help due asap
Show workings
Answers
Answer:
P' = (-4,2)
Q' = (-2,5)
R' = (-1,-4)
S' = (-6,-1)
Step-by-step explanation:
Tobias Gold sells computers at The Office Center.
He is guaranteed a minimum salary of $1,959 per month plus
6.3% commission on total sales. How much in total sales does
he need in order to have a gross pay for the month of $2,784.84?
Answers
Answer:
Total sales to be made = $13108.57
Step-by-step explanation:
Given that:
Monthly salary = $1959
Commission = 6.3%
Monthly pay to be earned = $2784.84
Commission amount = 2784.84 - 1959 = $825.84
Let,
x be the amount of sales
6.3% of x = 825.84
[tex]\frac{6.3}{100}x=825.84\\0.063x=825.84[/tex]
Dividing both sides by 0.063
[tex]\frac{0.063x}{0.063}=\frac{825.84}{0.063}\\x=13108.57[/tex]
Hence,
Total sales to be made = $13108.57
Two hundred tickets are being sold for a schools draws. What are your chance of winning with one ticket. Express your answer in a percent
Answers
Answer:
1%
Step-by-step explanation:
200 out of 1 is 1%
Most likely to win most likely to not win
Answer:
0.5 %
Step-by-step explanation:
1/200 is equivalent to 0.005
0.005 × 100 is 0.5
Factorise:
16p^2 + q^2 +4r^2 - 8pq+ 4qr -16pr .
Help me Plz....
Answers
Answer:
(4p-q-2r)^2
Step-by-step explanation:
Use the perfect square formula, a^{2}+b^{2}+c^{2}+2ab+2ac+2bc=\left(a+b+c\right)^{2}, where a=4p, b=-q and c=-2r.
Answer:
(4p-q-2r)^2
Step-by-step explanation:
(4p-q-2r)^2
our friends are going to the movies. The cost of one ticket is $9.50, and the cost of one large popcorn is $4.50. The expression Syntax error from line 1 column 49 to line 1 column 73. Unexpected 'mathsize'. shows the total cost for the four friends. Which of these is equivalent to the given expression?
Answers
Answer:
No clue not even close to a clue
Answer:
I'm pretty sure I know the question they're talking about. The answer would be 4(4.5) + (9.5)
Step-by-step explanation:
put them in the order from least to greatest. You can use the number line to help.
Answers
Answer:
-1.85 -7/8 1 3/4
Step-by-step explanation:
It is about which one is to the farest right ▶️ from 0
Choose the correct answer! ( sorry if it's hard :( )
1. A dot (.) represents a _______.
Options:
a. line
b. point
c. line segment
d. stop
2. A _______ has two endpoints
Options:
a. line segment
b. line
c. ray
d. point
Answers
1. point
2. Line segment
Why: will a dot on a graph is known as a point on a graph. A line segment has two endpoints but you could also do process of elimination and know that a Ray has one end point and the other side goes on forever, a line has no endpoint and as it was started in the first question a point is a dot on the graph.
Hope this Helps :D
Answer:
Step-by-step explanation:
1) A dot represents a point.
2) A line segment has two end points
Find the value of 3a + 2b -3 when a=-5 and b=-6
Answers
Answer:
-30
Step-by-step explanation:
Substituting values of a and b in equation
3(-5)+2(-6)-3
-15-12-3
-15-15
-30
Answer: -30.
Step-by-step explanation:
We start by multiplying 3 by -5 and 2 by -6.
So the new equation will be [tex]-15-12-3[/tex].
Then, we can either minus -12 by -3 or we can minus -15 by -12. Either way, we get the right answer.
[tex]-15-12=-27[/tex]
Then, the new equation will be [tex]-27-3[/tex].
[tex]-27-3 = -30[/tex].
Answer: [tex]-30[/tex].
If 1 is subtracted from the numerator and from
the denominator of a fraction, the value obtained
is If 1 is added to its numerator and to its denominator, the resulting value is 2/3.
Find the fraction.
Answers
1+ (-1/3) = 2/3
please help meeee!!!!!!!!!!!!!!!!
Answers
Answer:
(-3,-1)
Step-by-step explanation:
I LUV DESMOS lol, jk, but it's easier to graph at these times
solve 3(6b-1)-7(2b+3)=0
Answers
Answer:
24/13 or 1.8
Step-by-step explanation:
27b -3 - 14b -21 = 0
13b - 24 = 0
13b = 24
b = 24/13 or 1.8
Answer:
B = 6
Step-by-step explanation
1. (Do the parentheses) 3(6b-1)-7(2b+3) = 18b-3-14b-21
2. (Simplify) 18b-3-14b-21 = 4b-24
3. (Add 24 to both sides) 4b-24+24=0+24
4. (Simplify) 4b = 24
5. (Divide by 4) b = 6
HELP PLZ
Solve each proportion for the variable
Answers
Answer:
x = -1
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
4/12-((x+2)/(2*x+5))=0
x + 2
Simplify ——————
2x + 5
1
Simplify again —
3
1 (x + 2)
— - ————— = 0
3 2x + 5
Find the Least Common Multiple
The left denominator is : 3
The right denominator is : 2x+5
Number of times each prime factor
appears in the factorization of:
Prime
Factor Left
Denominator Right
Denominator L.C.M = Max
{Left , Right}
3 1 0 1
Product of all
Prime Factors 3 1 3
Number of times each Algebraic Factor
appears in the factorization of:
Algebraic
Factor Left
Denominator Right
Denominator L.C.M = Max
{Left , Right}
2x+5 0 1 1
Least Common Multiple:
3 • (2x+5)
Denote the Least Common Multiple by L.C.M
Denote the Left Multiplier by Left_M
Denote the Right Multiplier by Right_M
Denote the Left Deniminator by L_Deno
Denote the Right Multiplier by R_Deno
Left_M = L.C.M / L_Deno = 2x+5
Right_M = L.C.M / R_Deno = 3
Two fractions are called equivalent if they have the same numeric value.
For example : 1/2 and 2/4 are equivalent, y/(y+1)2 and (y2+y)/(y+1)3 are equivalent as well.
To calculate equivalent fraction , multiply the Numerator of each fraction, by its respective Multiplier.
L. Mult. • L. Num. 2x+5
—————————— = ——————————
L.C.M 3 • (2x+5)
R. Mult. • R. Num. (x+2) • 3
—————————— = ——————————
L.C.M 3 • (2x+5)
Add the two equivalent fractions which now have a common denominator . Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
2x + 5 - ((x + 2) • 3) -x - 1
——————————— = —————————
3 • (2x + 5) 3 • (2x + 5)
Pull out like factors :
-x - 1 = -1 • (x + 1)
-x - 1
—————————— = 0
3 • (2x + 5)
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now, to get rid of the denominator, multiply both sides of the equation by the denominator.
-x - 1
——————— • 3 • (2x + 5) = 0 • 3 • (2x + 5)
3 • (2x + 5)
Now, on the left hand side, the 3 • 2x + 5 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
-x - 1 = 0
Solving a Single Variable Equation:
Solve : -x - 1 = 0
Add 1 to both sides of the equation :
-x = 1
Multiply both sides of the equation by (-1) : x = -1
A florist is looking to make arrangements of red and white roses for bouquets. The flowers are priced so that she makes a profit of $1.25 per red rose and $1.00 per white rose in a bouquet. Her goal is to make at least $1000 from sales of these bouquets. Based on her available time and supplies of red and white roses, she is considering two possibilities: 130 bouquets of 4 red roses and 3 white roses each or 110 bouquets of 3 red roses and 5 white roses each. Will either of these possibilities turn the profit the florist is seeking?
Answers
Answer:
Option 1Step-by-step explanation:
Option 1
130 bouquets of 4 red roses and 3 white roses each. Profit is:
130*(4*$1.25 + 3*$1) = $1040 > $1000Option 2
110 bouquets of 3 red roses and 5 white roses each. Profit is:
110*(3*$1.25 + 5*$1) = $962.50 < $1000As we see option 1 is bringing target profit so should be her choice
Answer:
30 bouquets of 4 red roses and 3 white roses each.
Step-by-step explanation:
Identify the value of a if
y= ax+ 7x + 2
and the point (2, 12) is on the graph.
Answers
Answer:
a=-2
So yep. ;)
Step-by-step explanation:
Alright, so, (2,12), 2 is the x and 12 is the y.
Stick them into the equation: [tex]12=a*2+(7*2)+2[/tex]
Then, solve:
[tex]12=a*2+14+2[/tex]
a = -2
So yes, they're on the graph.
Hope this helped! :)
In a town election azeem got 42 percentage of the votes cast and hamza got the remaining votes.If the total number of votes cast is 40000. Find the votes obtained by Hamza .
Answers
Answer:
23200
Step-by-step explanation:
42 percent of 40000 is 16800
40000-16800=23200
please give me brainliest!!!<3
Answer:
23,200
Step-by-step explanation:
Total number of votes cast is 40,000
Since Azeem got 42% of the votes casted, then the votes obtained by him would be;
= 42% × 40,000
= 16,800
To get the number of votes obtained by Hamza, we will subtract the votes obtained by azeem from the total votes casted since there are only two candidates in that town, hence number of votes obtained by Hamza would be;
= 40,000 - 16,800
= 23,200.
Therefore, the number of votes obtained by Hamza is 23,200
find the measure of
a. 71 degrees
b. 109 degrees
c. 180 degrees
d. 82 degrees
Answers
Answer:
71°
Step-by-step explanation:
Given;
<A=27°
<B=82°
<T=?
We add all angles and subtract it from 180 since an interior angle adds up to 180
<A+<B+<T=180
27°+82°+<T=180
109°+<T=180
<T=180-109
<T=71°
Therefore angle T <T is equal to 71°degrees
X-7=13 what does x equal
Answers
Answer: 20
Step-by-step explanation:
To answer these types of questions, you have to think about what number minus 7 would equal 13. You can find out by simply adding 13+7. Then check your answer.
20-17=13 is accurate
4u+3u+21=70 find the value of the variables
Answers
Answer:
u=7
Step-by-step explanation:
First, add 4u and 3u because they are like terms.
7u+21=70
Second, subtract 21 from both sides.
7u=49
Finally, to isolate the variable divide 7 from both sides.
u=7
Hope this helps you
O is the centre of the circle and ABC and EDC are tangents to the circle. Find the size of angle BCD. You must give reasons in your answer.
*I got 3/4 Marks, can someone help me achieve the 4th?*
It may have something to do with reasoning...
Answers
Here is the ans of this ques. Hope it helps
Given: AD = BC and AD || BC
Prove: ABCD is a parallelogram.
Answers
Step-by-step explanation:
pls check your answer I hope u can understand
Answer:
thank u sm
Step-by-step explanation:
helps a lot
If f(x) = 2x+1 and g(x) = 3x-2 Find f[g(1)] =
Answers
Answer:
3
Step-by-step explanation:
3(1)-2= 1
2(1)+1 = 3
The equation shows the relationship between x and y: y = −9x + 5 What is the slope of the equation? (4 points) a −14 b −9 c −4 d 5
Answers
The letter b
answer: -9 the slope is -9
the volume of a cylinder tank is 936 cubic meter .if its height is 6 m determine the base area of tank
Answers
Answer:
156 cm²
Step-by-step explanation:
The volume (V) of a cylinder is calculated as
V = Ah ( A is the area of the base and h the height )
Here V = 936 and h = 6, then
936 = 6A ( divide both sides by 6 )
A = 156 cm²
Rashon breaks a granola bar in half and eats
1 piece. Kelly breaks another granola bar of the
same size into 4 equal pieces. She eats 3 pieces.
Who eats the least amount?