The line y=−0.5x+b passes through the points (1,5.5), (3,p), (4,4), and (7,n). Find b, n, and p.
Answers
Step-by-step explanation:
Finding b
If we use the given slope and use one of the points to write the equation in point-slope form (y - y₁) = m(x - x₁)), we can rearrange it to find the y-intercept:
Using (4,4)
⇒ y - 4 = - 0.5 (x - 4)
y - 4 = - 0.5 x + 2
y = -0.5 x + 6
∴ b = 6Calculating 'n' and 'p'
We can find n and p by plugging the points into the newly found equation y = -0.5 x + 6.
For n using (7, n)
since y = -0.5 x + 6
n = -0.5 (7) + 6
∴ n = 2.5For p using (3,p)
since y = -0.5 x + 6
p = - 0.5 (3) + 6
p = - 1.5 + 6
p = 4.5Checking the answer
We can check the answer we got in two ways:
We could also have found n a different way:Using the points (4, 4) and (7, n) as (x₁, y₁) & (x₂, y₂) respectively
The slope of the line (m) = (y₂ - y₁) ÷ (x₂ - x₁)
- 0.5 = (n - 4) ÷ (7 - 4)
- 0.5 = ⁿ⁻⁴/₃ [multiply both sides by 3]
- 1.5 = n - 4 [add four to both sides]
n = 2.5 [this matches the value of n we found]
We can plot the line and see if it goes through the points we found. As seen in the graph below, the line passes through all the points.
Related Questions
this is for trustmeiamsmart
hurry plzzzzzzzzzzzzzz
Answers
Answer:
distance between a and b is 1
distance between b and c is 3
distance between b and a is 1
6,-3
2-,5
-10,-3
-2-11
3
Answer:
Lol question for me only
Real Answer:
A and B = 1
B and C = 3
B and A = 1
Four points that are four points
6,-3
-2,5
-10,-3
-2,-11
Distance between some points
3
This is my 2 time posting please answer
Fernando opened a pizza box. Inside there was 3/4 of a pizza. He ate 1/3 of what was remaining. How much of a pizza did he eat? Fernando opened a pizza box. Inside there was 3/4 of a pizza. He ate 1/3 of what was remaining. How much of a pizza did he eat? Please include a sentence explaining your reasoning.
Answers
Answer:
He ate 1/4 of a pizza.
Step-by-step explanation:
1/3 basically means: There are 3 parts, you take 1 of those parts
so 3/4 means that there are three fourths. 3/4 divided by 3 = 1/4. He ate 1/4 of a pizza.
Evaluate the expression for k = –1.
–14k =
Answers
14
simplify the following surd expressions a) 9√3 - 4√3 + √5 + 2√5 b) 10√2 + 4√7 - 6√2
Answers
B) 4√2 + 4√7
Answer:
[tex]a)\:5\sqrt{3}+3\sqrt{5}[/tex]
[tex]b)-6\sqrt{2}+4\sqrt{7}[/tex]
Step-by-step explanation:
[tex]a)\:9\sqrt{3}-4\sqrt{3}+\sqrt{5}+2\sqrt{5}[/tex]
We need to combine like terms:
[tex]9\sqrt{3}-4\sqrt{3}[/tex]
[tex]=5\sqrt{3}[/tex]
[tex]\sqrt{5}+2\sqrt{5}[/tex]
[tex]=3\sqrt{5}[/tex]
[tex]5\sqrt{3}+3\sqrt{5}[/tex]
__________________
Combine like terms:
[tex]b)\:0\times \sqrt{2}+4\sqrt{7}-6\sqrt{2}[/tex]
[tex]0\cdot \sqrt{2}-6\sqrt{2}[/tex]
[tex]=-6\sqrt{2}[/tex]
[tex]-6\sqrt{2}+4\sqrt{7}[/tex]
____________________
what is 46+56+3+17+30+
Answers
Answer:
152
Step-by-step explanation:
46+56=102
102+3=105
105+17+130=152
Which property of addition is shown here? (4+5)+6=4+(5+6)
Answers
Answer:
I am pretty sure it is Associative property of addition
Step-by-step explanation:
kit says to pour 4 fluid ounces of juice into each bag. How many ice pop bags can you fill with 1 quart of juice?
Answers
Answer:
8 bags
Step-by-step explanation:
It is given that, a make-your-own ice pop kit says to pour 4 fluid ounces of juice into each bag.
We need to find the number of ice pop bags we can fill with 1 quart of juice.
We know that,
1 quart = 32 ounces
We have 32 ounces of juice and each bag contains 4 fluid ounces.
Therefore, 8 ice pop bags we can fill with 1 quart of juice.
1/2x-1/4y=10
1/8x-1/8y=19
which ordered pair (x,y) satisfies the system of equations above
a) (-122,264)
b) (64,88)
c) (232/3, 224/3)
d) (288,536)
Answers
Answer: (-112,-264)
Step-by-step explanation:
Alex and 3 of his friends are playing in a class math competition. Each player can score up to 10 points per round. Choose the equation or inequality to represent the number of points Alex’s team scores in one round.
A. p = 40
B. p = 30
C. p ≤ 40
D. p ≤ 30
E. p ≥ 40
F. p ≥ 30
Answers
A.p:40 his friends alex
Answer:
the answer is p<40
Step-by-step explanation:
(: ur welcome
Question 10 (5 points)
Seven values on the number line above are marked with letters. Match the opposites.
Question 10 options:
A) C and L; F and H
B) F and H; Y and Y
C) C and L; A and K
D) A and K; F and H
Answers
Answer:
B
Step-by-step explanation:
from observation......
A painter charges $15.30 per hour, plus an additional amount for the supplies. If he made $187.81 on a job where he worked 7 hours, how much did the supplies cost?
Answers
Answer:
$80.87
Step-by-step explanation:
The cost of supplies would be $80.87 This is because 15.33 • 7 = 107.31 and 188.18 - 107.31 = 80.87
Plz help ASAP!!
Picture attached:
Which statement is true about the graph of the equation y = x?
Answers
Answer:
that they both create different equations
equivalent to the complex number i^14
Answers
Answer: The powers of i have a repetitive cyclic nature.
When we raise the imagenry unit i to increasing powers, we get a pattern which repeats itself.
Observe the following table of powers of i.
Power of i i1 i2 i3 i4 i5 i6 i7 i8 i9
Simplified i -1 -i 1 i -1 -i 1 i
As you see above, the pattern repeats itself and is four members long.
Therefore, ix+8 ix+4 will equalx.
When asked to determine the value of i to a power higher than 4, we can use this information in order to find our position in the cycle.
So, instead of using the actual power, we can take the remainder of the power divided by 4.
Store A sells four bags of chips for $5.00. Store B sells eight bags for $7.00. Which has the lower unit price? Show your work using mathematics.
Answers
Answer:
none because the price is just one dollar up for each store and the bags of chips are 1 less than how much you have to pay.
Step-by-step explanation:
HELP
Karen's music library contains 18 fewer playlists than Clarann's music library. The total number of playlists on both music libraries is 40. Find the number of playlists on each person's music library.
Answers
Answer:
let Karen's music library be represented by K
let Clarann's music library be represented by C
C = K +18
C +K =40
put C = K +18 into (C +K =40)
K + 18 +K =40
2K +18 = 40
collect like terms
2K =40 -18
2K =22
divide both sides by 2
K =11
since C = K+18
C= 11 +18
C =29
Karen's music library contains 11 playlists while Clarann's music library contains 29 playlists
Who can solve these three ??
Answers
2. Y=16
3. Y= -1
Answer:
1) x = 9
2) y = 16
3) y = -1
Step-by-step explanation:
Do PEMDAS in reverse.
For every equation, your goal is to seperate the variable (x,y, or whatever letter) by itself.
1) 2x-7 = 11
Add 7 to both sides.
2x = 18
Divide both sides by 2.
x = 9
2) [tex]\frac{3}{4}y = 12[/tex]
Divide both sides by 3/4 (which turns into multiplying by 4/3).
Left side
[tex]\frac{3}{4}x * \frac{4}{3}\\\\\frac{3}{4}x * \frac{4}{3} = \frac{3*4}{4*3}x\\1x\\x[/tex]
Right side
[tex]12*\frac{4}{3}\\\\\frac{12}{1} *\frac{4}{3}\\\\ \frac{12}{1} *\frac{4}{3} = \frac{12*4}{1*3}\\\\\frac{48}{3} \\16[/tex]
3) 9(y+3) = 18
Remember do PEMDAS in reverse.
Divide both sides by 9.
y+3 = 2
Subtract both sides by 3.
y = -1
if you can do any of these that would be great, just please tell me which ones you did and the more questions you do the more points you get
Answers
Answer:
14. a = 16 14. b = No she doesn't have enough money to buy it
Step-by-step explanation:
14. a = 45 - 17 - 8 - 4 = 16
14.b she only got 16 dollars left and the T-shirt cost 19 dollar
Pls help. I will give you 10 points!
Answers
Answer:
the answer is 1 5/6 :))))
the figure is cut into 8 equal pieces. shade 3/4 of the figure
Answers
Answer: shade six parts to shade 3/4 of 8
3/4 * 8 = 6
hope this helps
brainliest?
Error Analysis Describe and correct the error made in solving the literal
equation at the right for n.
*need help asap!*
Answers
Answer: 2m+1/2
Step-by-step explanation: 2m=-6n+3
2m-3=-6n
(2m-3)/-6
n= 2m+1/2
Help! I’ll mark brainly list but please explain!!
Answers
Answer:
9.75, 2, and 56.25
Step-by-step explanation:
Since it's 4 movie tickets, 2 popcorns (which are $6.25),
4(9.75) + 2(6.25 -> Popcorn) + 4.75
= 39 + 12.5 + 4.75
= 39 + 17.25
= $56.25
As for the total cost,
4 * 9.75 = 39
2 * 6.25 = 12.5
1 * 4.75 = 4.75
Feel free to mark this as brainliest! :D
Solve for x thanks!!!!!
Answers
Answer:
x=5
Step-by-step explanation:
Since the angle with the expession and the one that has a measure of 58 and corresponding, they have equal measure. This helps us write an equation-
12x-2=58
now, solve
-2+2=0, 58+2=60
12x=60
12x/12=60/12
x=5
hope this helps:)
please crown me brainliest!!!
Answer:
12x-2°=58°
12x=58°+2°
=60°
x=60÷12
=5
Can a quadrilateral have no obtuse angles? Explain.
Answers
A ǫᴜᴀᴅʀɪʟᴀᴛᴇʀᴀʟ ʜᴀᴠᴇ 4 ᴏʙᴛᴜsᴇ ᴀɴɢʟᴇs
A quadrilateral is a four-sided closed figure with straight sides. The sum of the interior angles of a quadrilateral is
A quadrilateral is a four-sided closed figure with straight sides. The sum of the interior angles of a quadrilateral is 360
A quadrilateral is a four-sided closed figure with straight sides. The sum of the interior angles of a quadrilateral is 360∘
A quadrilateral is a four-sided closed figure with straight sides. The sum of the interior angles of a quadrilateral is 360∘360∘. Common quadrilaterals include parallelograms, rectangles, squares, kites, and trapezoids.
Is this pounds or Ounces?
lb:oz
Answers
Well... lb is pounds, and oz is ounces, so Maybe it's in both pounds and ounces? For instance, 2 pounds 3 ounces is equal to 35 ounces...
Every practice session at Kurt's
rink costs $5.00. Kurt goes to 4
sessions a day, 6 days a week.
How much does he spend each
week on ice time?
Answers
6 days a week
5 dollars per session
5x4=20
20x6=120
your answer is 120
hope this helps:)
yesterday a bakery made 360 bagels.they packed them in bags of 6.they sold 45 bags.how many bags were left.
Answers
Answer:
15 bags left
Step-by-step explanation:
360/6=60
60-45=15
Wich relation is a function of x
Answers
Answer:
the first one
Step-by-step explanation:
In the other 2 i can see the x repeats itself meaning it isn't a function.
helpppppppppppppppppppppppppppppp meeeeeeeeeeeeeeeeeee plsssssssssssssssssssssss there is more but plss help mee
Answers
29, d, infinite
30, c, intercepting
Solve for x given the point (x,9) is a point on the line y = 3x + 7.
Answers
Answer:
0.67 = x
Step-by-step explanation:
to solve the value of x we need to : (x,9)
y = 3x + 7
9 = 3x + 7
9 - 7 = 3x
2 = 3x
2/3 = x
0.67 = x
From the given point (x , 9) let's plug the value of its y - coordinate of into Equation - y = 3x + 7 and solve for x :
[tex]9 = 3x + 7[/tex][tex]2 = 3x[/tex][tex]x = \dfrac{2}{3} [/tex]hence, value of x = 2/3
The coordinates of point J are (-7, 2), and the midpoint of JK is at L (3, 5). What are the coordinates of point K?
Answers
The required coordinate of the point K is (13, 8).
Given that,
The coordinates of point J are (-7, 2), and the midpoint of JK is at L (3, 5), the coordinates of point K is to be determined.
Coordinate, is represented as the values on x-axis and y-axis of the graph.
here,
The coordinate of the midpoint (x, y) is given as,
x = (x₁ + x₂)/2 ; y = (y₁ + y₂)/2
Substitute the value in the above equation,
3 = (-7 + x₂)/2 ; 5 = (2 + y₂)/2
x₂ = 13 ; y₂ = 8
Thus, the required coordinate of point K is (13, 8).
Learn more about coordinate here:
brainly.com/question/13498438
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