Make a sketch of a linear relationship with slope 3 that is not a proportional relationship show how you know hay slope is 3 write an equation for the line
Answers
Answer:
A proportional relationship is something like:
y = k*x
Where k is the constant of proportionality
And a linear relationship is something like:
y = a*x + b
Is easy to see that if:
a = k, and b = 0, this would be a proportional relationship.
Then if we want to have a slope equal to 3, but this must not be a proportional relationship, we must only have b different than 0.
This could be something like:
y = 3*x + 1
The graph of this is:
A linear non - proportional relationship could be written with as a slope - intercept with a non - zero intercept value. One such relationship with a slope of 3 can be expressed thus :
y = 3x + 5Here, the linear relationship, has a slope value of 3 and an intercept value of 5. The function cannot be proportional due to the presence of a non-zero constant
Hence, Using a graphing calculator, the sketch of the linear relationship is attached.
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Related Questions
Find the slope of the line that passes through the points, A(0,2) and B(4, -1).
Answers
Answer:
Slope=M=y2-y1/X2-X1=
-1 -2 /4-0=
-3/4 =
-0.75
Step-by-step explanation:
Hope this helped!!!!
Answer:
y=(-3/4)+2
Step-by-step explanation:
Hello there! In order to solve this problem we will have to find the slope of the line and then use the point slope formula
Firstly, lets solve for the slope by finding the change in y over the change in x:
slope (m)= [tex]\frac{y2-y1}{x2-x1}[/tex]
We will plug in the values of the points given and find that:
slope (m)= [tex]\frac{-1-2}{4-0}[/tex]
this equals (-3/4)
from here we will use the point slope formula to find for the equation that the line passes through. You can use either point for this step, I will be using A(0,2).
Point-slope equation:
[tex]y-y1=m(x-x1)[/tex]
Plugging in values:
[tex]y-2=(\frac{-3}{4})(x-0)[/tex]
after isolating y we find that the equation is:
[tex]y=\frac{-3}{4} x+2[/tex]
Hope this helps!
-HM
In order for two figures to be considered similar, which of the following MUST be true? (Check all that apply) There is more than one answer.
Corresponding sides are proportional
Corresponding sides are congruent
The shapes are exactly the same in side length and angle measure
Corresponding angles are congruent
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Answer:
According to me all the options are correct
Can someone help me with this question thx
Answers
Answer:
D. 3
Step-by-step explanation:
3x−2y=−6
solve for y
-2y=-3x-6
y= 3/2x+3
y=mx+b
b= y intercept --> b = 3
in the figure given alongside find angle ACD angle ADC and angle DAE
Answers
Math Trick
43 x 67 = ?
Answers
Answer:2881
Step-by-step explanation:
Answer:
2881
Step-by-step explanation:
Subtract.
(2x4−x2+5x−2)−(−x4+3x3+2x2−1)
Answers
Answer:
477
Step-by-step explanation:
:)
Please help me! Im not good at this topic.
Answers
Answer:
I THINK IT IS C.
Step-by-step explanation:
I need a little bit of help right now.
Answers
1 point
A shirt is on sale for 40% off. The sale price is $12. How much was the
original price? *
20.00
16.80
19.20
8.00
Answers
Answer:
B
Step-by-step explanation:
0.4 x 16.8 or 40% off of 16.80 is 12
are these all right?? PLS HELP IM SO DUMB AHAH.
Answers
Answ
yes
Step-by-step explanation:
Answer:??
Step-by-step explanation: How do I use this app??
Similar Triangles, find value of X
Answers
20. If g(x) = x^3+9/3x evaluate g(-3)
Answers
Answer:
2
Step-by-step explanation:
-3^3+9/3*-3= 2 ypu have tu substitute the x by -3 always.
thx u help now ok yeah
Answers
To find the equation of the parabola, first let's write the parent function,
y = a(x-h)^2+k. Ok, now we need to find the vertex and plug it in. Remember, (h,k). When we look at the problem the vertex is (0,4). Therefore we write it as y = a(x-0)^2 +4 or y = ax^2 + 4. Now we need to look to see if it was stretched or compressed. Keep in mind that on a normal parabola, if you move over 1 you go up one. If you move over 2 you go up four. If you move over 3, you go up 9. In this problem, you move over 1, you go up 1. If you move over 2, you go up 4. If you move over 3, you go up 9. From this information, we see that there is no stretch or compression. Therefore the equation of the graph shown is:
y= x^2 +4
HELP ASAP! Given f(x) = ax^2 + c, list each characteristic of the function.
What does a do?
What shifts the graph from going up to going down?
What does x^2 do?
What does c do?
What is the vertex?
Answers
Eric wants to send a package to his mother. If he chooses UPS, the fixed express fee is 10 dollars and each kilogram costs 2 dollars. For Fedex, the fixed fee is 20 dollars and each kilogram costs only 1 dollar. If the total costs of the two options are the same, how many kilogram of package does Ericsend? Write a system of equations in order to solve this problem.
Answers
Answer:
10kg
Step-by-step explanation:
For UPS;
express fee = $10
If one kg costs $2, then x kg of package will coat $2x
Total cost of shipping xkg of package will be 10+2x
For FedEx;
Fixed express fee = $20
If one kg costs $1, then x kg of package will coat $1x
Total cost of shipping x kg of package is 20+x
If the total costs of the two options are the same, then;
10+2x = 20+x
2x-x = 20-10
x = 10.
Hence Eric sent 10kg of package
a jar contains 10 caramels 5 mints and 15 dark chocolates what is the probability of selecting vs mint expressed as show ur working out
Answers
Answer: The probability of selecting a mint 1/6
Step-by-step explanation:
the jar contains 30 different candies
out of the 30, 5 are mints
5/30 = 1/6
which is closer to 0 3/8 or -1/3
Answers
Answer:
3/8
Step-by-step explanation:
Answer:
3/8 = 9/24
1/3 = 8/24
-1/3 is closer to 0
3/8 is farther from 0
what is the answer?
Answers
Answer:
Required Answer:-If [tex]\triangle[/tex] ABC is a isosceles triangle thenAB=BCNow Substitute values
[tex]\longrightarrow[/tex][tex]\sf 3x-4=5x-10[/tex]
[tex]\longrightarrow[/tex][tex]\sf 5x-10=3x-4 [/tex]
[tex]\longrightarrow[/tex][tex]\sf 5x-3x=-4+10 [/tex]
[tex]\longrightarrow[/tex][tex]\sf 2x=6 [/tex]
[tex]\longrightarrow[/tex][tex]\sf x={\dfrac {6}{2}}[/tex]
[tex]\longrightarrow[/tex][tex]\sf x=3 [/tex]
[tex]\therefore[/tex][tex]\sf AB=3x-4=3\times 3-4=9-4 \\ \sf AB=5units [/tex]
Step-by-step explanation:
Side AB and Side BC are the same so we can make them equal to each other:
3x -4 = 5x -10
Subtract 3x from both sides.
-4 = 2x -10
Add 10 to both sides.
6 = 2x
Divide both sides by 2
3 = x
x = 3
Now substitute x in the expression
3x -4
3(3) -4
PEMDAS
9 - 4
Subtract
5
Given: m∠A = m∠C = 90°
AB ║ DC
Prove: ∆ABD ≅ ∆CDB
40 points
Answers
Answer:
ABD = CDB
AB is parallel to DC
Step-by-step explanation:
angle a and c are right angles so they are equal and angle b and d are equal because they have a line that touch both letters
AB and DC are parellel because they are the same looking lines just on oppisite sides
As per the ASA congruence theorem, the triangles ΔABD and ΔCDB are congruent.
What are alternate interior angles?When two parallel lines are intersected by a transversal, alternate external angles are created.
Given that, m∠A = m∠C = 90° and AB║DC.
In triangles ΔABD and ΔCDB,
m∠A = m∠C = 90°
m∠ABD = m∠BDC (Alternate interior angles)
BD = DB (Common side)
Hence, as per the ASA congruence theorem, the triangles ΔABD and ΔCDB are congruent.
Learn more about the alternate interior angles:
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#SPJ2
Which graph represents the equation 6x−5y=10 ? A image 1ab24067a1a445c6b2cc4633bfedfbb0 B image 28e91cd406af4c89bbd5cef1ec880a48 C image cfe6c7f17af74557ac6084f98e5bf5e0 D image 6fe8450f191547f885106542b28826f1
Answers
Answer:
i'm sorry
Step-by-step explanation:
what do you mean
X-7
4x + 1
ngle.
6x + 2
Find the perimeter
Answers
Answer:
ANSWER
GIVEN:
OA= 3x-1 , OC= 5x-3, OD= 6x-5 , BO = 2x+1
AO/OC = BO/OD
[The diagonals of a Trapezium divide each other proportionally]
(3x-1)/(5x-3) =( 2x+1)/(6x-5)
(3x-1) (6x-5) = (5x-3) ( 2x+1)
3x(6x-5) -1 (6x-5) = 2x(5x-3)+1(5x-3)
18x² -15x -6x +5 = 10x² -6x +5x -3
18x² -21x +5 = 10x² - x -3
18x² -10x² -21x + x +5+3 =0
8x² - 20x +8= 0
4(2x² -5x +2) = 0
2x² -5x +2 = 0
2x² -4x -x +2= 0
[By factorization]
2x(x-2) -1(x-2)= 0
(2x-1) (x-2) = 0
(2x-1) = 0 or (x-2) = 0
x = ½ or x = 2
If we put x= ½ in OD , The value of OD is negative.
Hence, the value of is x = 2.
Step-by-step explanation:
1 =29 and 2=44...............
a necklace contains 36 gram of gold 72% of the mass of necklace is gold what is the mass of the necklace
Answers
Answer:
50 grams
Step-by-step explanation:
36 grams = 72%
→ Find 1% by dividing both sides by 72
0.5 grams = 1%
→ Times both sides by 100 to find 100%
50 grams = 100%
Step-by-step explanation:
Multiply 32 by 72 to get thw mass.
A 9 pound bag of brown rice cost 40. 32 what is the price per ounce
Answers
Answer:
price per ounce: $4.48
Step-by-step explanation:
divide 40.32 by 9
Answer:
0.28
Step-by-step explanation:
9 pound = 144 ounce
40.32 / 144 = 0.28
find the amount and the compound interest on rupees 10000 for 2 years at 5% per annum compounded annually
Answers
Answer:
11025
Step-by-step explanation:
100+5÷100=1.05 squared
10000x1.05squared=11025
Answer:
Amount = 11205
CI = 1205
Step-by-step explanation:
[tex]a = p(1 + \frac{r}{n} ) {}^{nt} [/tex]
Here,
p = 10000
r = 5% = 5/100 = 0.05
n = 1
t = 2
[tex]a = 10000(1 + \frac{0.05}{1} ) {}^{1 \times 2} [/tex]
[tex]a = 10000(1.05) {}^{2} [/tex]
[tex]a = 10000(1.1025)[/tex]
[tex]a = 11205[/tex]
C.I = a - p
C.I = 11205 - 10000
C.I = 1205
Which values from the given replacement set make up the solution set of the inequality?
m+7<18 ; {8, 9, 10, 11}
{9, 10, 11}
{8, 9, 10}
{8, 9}
{10, 11}
Answers
Answer:
B: 8,9,10
Step-by-step explanation:
-4/2/5 = -3/1/5 + 7/10g
Answers
Answer:
g=12/7
Step-by-step explanation:
determine if l || m based on the information given on the diagram. If yes, state the converse that proves the lines are parallel.
Answers
Answer/Step-by-step explanation:
1. YES.
Converse: If same side interior angles are supplementary, then l || m. (Same side interior angles)
Since the sum of the two same side interior angles, 65° and 115°, equals 180°, therefore, l || m.
2. YES.
Converse: if two angles angles are a linear pair, they are supplementary, therefore l || m. (Linear pair)
Thus,
128° + 53° = 180°.
3. YES.
Converse: if two angles are corresponding angles and congruent, therefore l || m. (Corresponding angles).
Thus,
The indicated angles which are equal to 90°, are corresponding angles therefore, l || m.
4. YES
Converse: if two alternate exterior angles are congruent, then l || m. (Alternate exterior angles)
Thus, the two exterior angles are congruent, therefore l || m.
The converse which would serve as prove that l is parallel to m are given in the answers below:
Considering the information in the given diagrams:
1. Yes, l is parallel to m.
The converse is: "If corresponding angles are equal, then l is parallel to m". One of the corresponding angles plus [tex]115^{o}[/tex] equals [tex]180^{o}[/tex].
Thus, l || m.
2. Yes, l is parallel to m.
The converse is: "if two angles are linear pair, then they sum up to [tex]180^{o}[/tex]".
So then, l || m.
3. Yes, l is parallel to m.
The converse is: "if two corresponding angles are right angles, then they are congruent".
Therefore, l || m.
4. Yes, l is parallel to m.
The converse is: :if two alternate exterior angles are congruent, then l is parallel to m".
Therefore, l || m.
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Xochitl has saved $201.60. Yamka has saved LaTeX: \frac{2}{3}2 3 the amount Xochitl saved. Zack has saved 1.5 times the amount Yamka saved. How much have they saved all together?
Answers
Answer:
$537.60
Step-by-step explanation:
Xochitl has saved $201.60.
Yamka has saved 2/3 the amount Xochitl saved.
The amount Yamka has saved us calculated as:
2/3 × $201.60
= $134.40
Zack has saved 1.5 times the amount Yamka saved.
The amount Zack has saved is
1.5 × $134.40
= $201.60
How much have they saved all together?
This is calculated as:
$201.60 + $134.40 + $201.60
= $537.60
Gcf of 80x^3 and 30yx^2
Answers
10x^2
That's what I got
HURRY HELP
Tammy sold a diamond ring for $10,000. She placed the money into a CD with a 3.9% interest rate compounded
annually. What is the interest earned on the amount after 4 years?
a.)$1653.66
b.)$1984.87
c.)$1492.04
d.)$1119.99
Answers
=====================================================
Work Shown:
Use the compound interest formula
A = P*(1+r/n)^(n*t)
A = 10000(1+0.039/1)^(1*4)
A = 11,653.65589441
A = 11,653.66
That's the amount of money Tammy will have at the end of 4 years.
Subtract off the principal from this value to get the interest.
interest = A - P
interest = 11,653.66 - 10,000
interest = 1,653.66