1 The graph shows the relationship between the weights of 5 packages and the shipping charge for each package. Is the relationship represented by the graph a function? Explain. I
Answers
Answer:
Step-by-step explanation:
Yes, each input value is paired with only one output value.
The function represent the given graph is f(x)=0.67x+1.83.
What is the equation of a line?The general equation of a straight line is y=mx+c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis.
From the graph, the coordinate points are (1, 2.5) and (2.5, 3.5)
Here, slope m=(3.5-2.5)/(2.5-1)
= 1/1.5
= 0.67
Substitute m=0.67 and (x, y)=(1, 2.5) in y=mx+c, we get
2.5=0.67+c
c=1.83
Substitute m=0.67 and c=1.83 in y=mx+c, we get
y=0.67x+1.83
Therefore, the function represent the given graph is f(x)=0.67x+1.83.
To learn more about the equation of a line visit:
https://brainly.com/question/2564656.
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Related Questions
I need help 6x-2y=10 x-2y=-5 solve by elimination
Answers
[tex] \begin{cases} 6x - 2y = 10 \\ x - 2y = - 5 \end{cases}[/tex]
Solve the system of equations by eliminating either x-term or y-term. We will eliminate the y-term as it is faster to solve the equation.To eliminate the y-term, we have to multiply the negative in either the first or second equation so we can get rid of the y-term. I will multiply negative in the second equation.
[tex] \begin{cases} 6x - 2y = 10 \\ - x + 2y = 5 \end{cases}[/tex]
There as we can get rid of the y-term by adding both equations.
[tex](6x - x) + ( - 2y + 2y) = 10 + 5 \\ 5x + 0 = 15 \\ 5x = 15 \\ x = \frac{15}{5} \longrightarrow \frac{ \cancel{15}}{ \cancel{5}} = \frac{3}{1} \\ x = 3[/tex]
Hence, the value of x is 3. But we are not finished yet because we need to find the value of y as well. Therefore, we substitute the value of x in any given equations. I will substitute the value of x in the second equation.
[tex]x - 2y = - 5 \\ 3 - 2y = - 5 \\ 3 + 5 = 2y \\ 8 = 2y \\ \frac{8}{2} = y \\ y = \frac{8}{2} \longrightarrow \frac{ \cancel{8}}{ \cancel{2}} = \frac{4}{1} \\ y = 4[/tex]
Hence, the value of y is 4. Therefore, we can say that when x = 3, y = 4.
Answer Check by substituting both x and y values in both equations.First Equation
[tex]6x - 2y = 10 \\ 6(3) - 2(4) = 10 \\ 18 - 8 = 10 \\ 10 = 10 \longrightarrow \sf{true} \: \green{ \checkmark}[/tex]
Second Equation
[tex]x - 2y = - 5 \\ 3 - 2(4) = - 5 \\ 3 - 8 = - 5 \\ - 5 = - 5 \longrightarrow \sf{true} \: \green{ \checkmark}[/tex]
Hence, both equations are true for x = 3 and y = 4. Therefore, the solution is (3,4)
Answer[tex] \begin{cases} x = 3 \\ y = 4 \end{cases} \\ \sf \underline{Coordinate \: \: Form} \\ (3,4)[/tex]
please help me with this question
Answers
Answer
777
Step-by-step explanation:
jnimimimimimim000
Answer: 777
Hope this helps!!
Sorry if it's not correct!!
Kelly had2 3/4 qt of cooking oil. She used 2/5 of it to deep fry some fish. How much oil did she use
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Answer:
answer is 3 3/20
name the property that the statement illustrates (photo)
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Answer:
I dont see a photo?
Step-by-step explanation:
There is a bag filled with 5 blue and 6 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting 2 blues?
PLZ answer fast its an emergancy
Answers
Answer:
5/11*5/11=25/121
Step-by-step explanation:
There are 6+5 marbles.
Of those, 5 are red.
The chances of drawing a red marble are 5/11
Since you replace the marble you drew, the chances each draw remain 5/11
You cannot draw two red marbles without drawing a red marble on your first draw, so the odds of you making a second draw are 5/11. The odds of that also being red are 5/11… but we only care about that 5/11ths the time
Hey someone pls help the girl out
Answers
Answer:
because one i one is higher than the other, if you look at it
Answer:
Larger
Step-by-step explanation: 6/5= 1.2 so 1.2 would be diametrically larger
camille has save php 3,150.00 in the past three month.if the bike cost Php9,000.00,what percent of the cost of the bike has he saved??
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Answer:
the percent of her saving to the price of the bike is 35%
LuANN is playing a math game. She chooses 3 cards. The value of her cards is hownn below
First card: -12
Second card: 3
Third card: -5
What was the sum of the value of LuANNS three cards?
Answers
How so you solve -5r+2r is greater than 54
Answers
Answer:
r < -18
Step-by-step explanation:
-5r+2r is greater than 54 can be written symbolically as:
-5r+2r > 54
Combining the r terms, we get:
-3r > 54
Solving this result for r requires reversing the direction of the inequality sign:
r < -54/3, or r < -18
Answer:
r < -18
Step-by-step explanation:
[tex]-5r+2r > 54\\\\\rightarrow \text{Greater Than - } >\\\\\\\text{Combine the Like Terms}\\\\-5 + 2 = -3\\\\\text{So:}\\\\-5r+2r=-3r\\\\\\-3r>54\\\\\text{Divide by -3: }\\\\\frac{-3r>54}{-3}\\\\\boxed{r<-18}\\\\[/tex]
We switch the inequality sign if we multiply or divide both sides of the inequality by a negative number.
Hope this helps.
1. Find the coordinates of the centroid of the triangle with the given vertices.
A(2,3), B(8, 1), C(5,7)
The centroid is ( , )
Answers
9514 1404 393
Answer:
(5, 3 2/3)
Step-by-step explanation:
The centroid is the average of the vertex coordinates:
(A +B +C)/3 = ((2, 3) +(8, 1) +(5, 7))/3 = (2+8+5, 3+1+7)/3 = (5, 3 2/3)
Answer:
46940064
Step-by-step explanation:
1)
The angle of inclination is the angle between the horizontal and the ramp.
Using the sine ratio in the right triangle formed by the ground and the ramp
let x be the angle of inclination, then
sinx = \frac{opposite}{hypotenuse}
hypotenuse
opposite
= \frac{0.7}{4.2}
4.2
0.7
, then
x = sin^{-1}sin
−1
(\frac{0.7}{4.2}
4.2
0.7
) ≈ 10° ( to the nearest degree )
(2)
Again there is a right triangle between the ground and the vertical height of the kite, with hypotenuse being length of string.
let y be the height of the kite and x the horizontal distance, then
sin27° = \frac{opposite}{hypotenuse}
hypotenuse
opposite
= \frac{y}{176}
176
y
( multiply both sides by 176 )
176 × sin27° = y , then
y ≈ 80m ( to the nearest metre ) ← height of kite
and
cos27° = \frac{adjacent}{hypotenuse}
hypotenuse
adjacent
= \frac{x}{176}
176
x
( multiply both sides by 176 )
176 × cos27° = x , then
x ≈ 157m ( to the nearest metre ) ← horizontal distance
Consider the graph of the function f(x) = e^x
Answers
Answer:
The y intercept is positive 1 because that's where the graph crosses the y axis.
Answer:
Horizontal Asymptote of y= -7
Step-by-step explanation:
Does this expression represent the sum 13.76 + 2.8?
fifteen and fifty-six hundredths
Answers
Answer:
False
Step-by-step explanation:
False becuase numbers dont add up
2y = x - 4
4x + 3y = 5
Answers
Answer:
the answer is, {x,y} ={2,1}
Step-by-step explanation:
1) 4x - 3y = 5 2) x + 2y = 4 3) 4•(-2y+4) - 3y = 5 4) - 11y = -11 5) 11y = 11 y = 1 6) x = -2y+4 y = 1 7) x = -2(1)+4 = 2 = {x,y} = {2,1} !!!
Can y’all help me a question 25?!
Answers
Answer:
19.8839 miles away
Step-by-step explanation:
:)
find the 7th term in the sequence
1/3,1,3,9
Answers
Proof:
3(1) = 3
3(3) = 9
5. 9(3) = 27
6. 27(3) = 81
7. 81(3) = 243
The 7th term is 243.
Mrs.Kim wants to share the stickers equally with each of her students. there are 32 students in here class
100 points for this
Answers
Answer:
Ok... what's the question
Step-by-step explanation:
Answer:
anwser= 8 she will have 0 left
Step-by-step explanation:
each student gets 8 stickers
:)
11 b = 5, what is a
B. 25
C, 75
D. 125
Answers
Answer:
2.2
Step-by-step explanation:
What is the area of this triangle?
A=bh2
54 cm²
90 cm²
108 m²
216 m²
I will give brainlest and 5/5 stars to the first person I see
Answers
Answer:
area = 1/2 *base* height
= 1/2 * 12* 9
= 54 cm^2
right triangle...
Hope this helps...
find the slope of the line going through the points (3,2) and (8,27)
Answers
Answer:
5
Step-by-step explanation:
y²-y¹/x²-x¹
Where y²=27
y¹=2
x²=8
x¹=3
= 27-2/8-3
=5
Sam made fruit punch for a party. He mixed 3 gallons of orange juice, 2 quarts of pineapple juice, 4 pints of cranberry juice, and 6 cups of apple juice. How many quarts did he make in all?
Answers
Answer:
19 quarts
Step-by-step explanation:
you change the measurements to quarts.
SPORTS A coach uses a metric to determine the athletes that make the Varsity, Junior Varsity A, and Junior Varsity B teams. The total number of points possible on a skills test is 350. Athletes will make "Varsity" with at least 90% of the points. Athletes will make "Junior Varsity A" for 70-89% of the points. Athletes will make "Junior Varsity B" for 50-69% of the points. The table shows the number of points for each athlete that tried out.
Answers
Answer:
there is no picture. :)
Step-by-step explanation:
Answer:
Varsity = 12
Jr Varsity A = 10
Jr Varsity B = 11
Step-by-step explanation:
Varsity = at least 90% = 350 times 90% = 315
Anything 315-350
Jr Varsity A = 70-89%
350 times 70% = 245
350 times 89% = 311.5
Jr Varsity b = 50-69%
350 times 50% = 175
350 times 69% = 241.5
Elsa, Ryan, and Bill have a total of $135 in their wallets. Ryan has 4 times what Bill has. Elsa has $9 more than Bill. How much does each have?
Answers
Answer:
Bill has $21.
Step-by-step explanation:
There's $135. 84/4=21. At the same time, 21+9=30. 30+21+84=135.
Graph the equation.
y= 5(x + 1)^2– 3
HELP!!!
Answers
Step-by-step explanation:
the answer is in the attachment
The graph of the function y= 5(x + 1)²– 3 is attached accordingly. See the description of the graph below.
The graph of y= 5(x + 1)²– 3The equation y = 5(x + 1)² - 3 represents a quadratic function.
The graph is a parabola with its vertex at (-1, -3). It opens upward since the coefficient of the squared term (x²) is positive.
The graph is vertically stretched by a factor of 5 compared to the standard quadratic function.
The x-coordinate of the vertex is -1, indicating a horizontal shift of 1 unit to the left from the standard quadratic.
Learn more about graphs at:
https://brainly.com/question/25799000
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What is the percent increase from 40 to 64
Answers
Answer:
60 percent
Step-by-step explanation:
Where: 40 is the old value and 64 is the new value. In this case we have a positive change (increase) of 60 percent because the new value is greater than the old value.
3 1/4 divided by 1 1/4 =
Answers
Answer:
2.6, 2 3/5, 2 6/10
Step-by-step explanation:
2.6 as a fraction is 2 3/5. When you read the decimal 2.6, it is read as ''2 and 6 tenths. '' This can also be written as a mixed number of 2 6/10.
13/4 5/4
keep the first fraction the same
Change sign to multiply
Flip second fraction
13/4 x 4/5 = 52/20
change back to mixed fraction
2 12/20
1. If a height of each of the bars in a bar graph get taller as you go from the far left to the far right, the data are:
A. skewed left
B .symmetrical
c skewed right
D. No answer text provided.
2. If the height of each of the bars in a bar graph get shorter as you go from the far left to the far right, the data are:
A. skewed left
B. symmetrical
C. skewed right
D. No answer text provide
3. If the height of the each of the bars in a bar graph as you go from the far left to the right gets taller until you reach the middle and then gets shorter as you continue to the far right, the data are:
Group of answer choices
A.skewed left
B. symmetrical
C. skewed right
D. No answer text provided.
Answers
Answer:
1. Skewed to left (negative)
2. Right skewed (positive)
3. Symmetric
Step-by-step explanation:
Set background
Clear frame
Simplify this
expression as
much as
possible.
45
8(5 – 4) – 3
Answers
Answer:
45/5 = 9
Step-by-step explanation:
use PEMDAS
Jason bought 6 CDs to add to his collection. A week later he dropped half of his total collection in a pond. He only had 12 CDs left. How many CDs did he start with?
Answers
Answer:
24 CDs
Step-by-step explanation:
if he dropped half of his CDs then the other half is in the equation. 12×12=24 the 6 is just there to throw you off...
if I get it wrong my bad its 2 am
Answer:
Jason starts with 18 CDs
Step-by-step explanation:
12 x 2 = 24
24 - 6 = 18
Algebra quadrilateral dklm is a rhombus if dk=8, find kL
Answers
Pretty sure kL is also 8 since it’s a quadrilateral
Solve each single-step equation. Show your work. a -2 + 3 = -2
Answers
Answer:
a=−3
Step-by-step explanation:
a−2+3=−2
Step 1: Simplify both sides of the equation.
a−2+3=−2
a+−2+3=−2
(a)+(−2+3)=−2(Combine Like Terms)
a+1=−2
a+1=−2
Step 2: Subtract 1 from both sides.
a+1−1=−2−1
a=−3
