Given:
There exist a proportional relationship between x and y.
To find:
The equation which represents a proportional relationship between x and y.
Solution:
If there exist a proportional relationship between x and y, then
[tex]y\propto x[/tex]
[tex]y=kx[/tex]
where, k is constant of proportionality.
We know that, proportional relationship passes through the origin because (0,0) satisfy [tex]y=kx[/tex].
For x=0, check which equation has y=0.
In option A, [tex]y=-3(0)-2=-2[/tex].
In option B, [tex]y=9[/tex].
In option C, [tex]y=4(0)=0[/tex].
In option D, [tex]y=3(0)+1=1[/tex]
Only in option C, we have a equation of the form [tex]y=kx[/tex] with 4 as constant of proportionality and it passes through (0,0).
Therefore, the correct option is C.
Answer:
answer is c
Step-by-step explanation:
its 7=4x
5)Find the radius of the circle below!
4 cm
Answer:
2cm
Step-by-step explanation:
to get the radius u divide the diameter by 2
hope this is correct and helps
Step-by-step explanation:
Hey there!
Answer is 2cm.
Reason:
Diameter is given = 4 cm
Radius = d/2
= 4/2 = 2cm.
Hope it helps..
(e) If f(x+3) = f(x) + f(5) then prove that: f(2)= 0 and f(5) = -f(-1)
Answer:
See below.
Step-by-step explanation:
f(x + 3) = f(x) + f(5) (Given) so:
f(2 + 3) = f(2) + f(5)
and f(2) = f(2 + 3) - f(5)
= f(5) - f(5) = 0.
f(-1) = f(-1 +3) - f(5)
= f(2) - f(5)
= f(-3)
So - f(-1) = f(3)
Also:
f(5) = f(x + 3) - f(x)
= f(x + 3 - x)
= f(3).
But f(3) = -f(-1) ( shown above),
So f(5) = -f(-1).
A coffee shop sold 72 large cups of coffee on Monday. Each large cup of coffee cost $4.35.
What was total cost of the large cups of coffee sold by the coffee shop on Monday?
Answer:
314 large cups
Step-by-step explanation:
72x4.35=313.2
Answer:
The total amount of Large coffee cups sold should equal to 313.2
Step-by-step explanation:
4.35 x 72 = 313.2
Evaluate. Write your answer as a mixed number.
9 4/5 ÷ 3 1/2=
Answer:
2 4/5
Step-by-step explanation:
Answer:
It is 1 19/30. Hope that helped
In fig if x+y=w+z then prove that AOB is a line.
Answer:
As Given, x+y=w+z
To Prove: AOB is a line or x+y=180
∘
(linear pair.)
According to the question,
x+y+w+z=360
∘
∣ Angles around a point.
(x+y)+(w+z)=360
∘
(x+y)+(x+y)=360
∘
∣ Given x+y=w+z
2(x+y)=360
∘
(x+y)=180
∘
Hence, x+y makes a linear pair.
Therefore, AOB is a straight line
What is the slope of a line that contains the following points (17,-12) and (17,8)
Answer:
no slope
Step-by-step explanation:
y2-y1/ x2-x1
8-(-12)/17-17 = 0
The line containing (17, -12) and (17, 8) has no slope.
The line is a vertical line with an x-intercept at x = 17.
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
A line contains two points.
(17, -12) and (17, 8).
Consider,
(17, -12) = (a, b) and (17, 8) = (c, d)
The slope of the line.
Slope:
= (d - b) / (c - a)
= (8 - (-12)) / (17 - 17)
= 8 + 12 / 0
= 20 / 0
= undefined.
This means there is no slope for the line that contains (17, -12) and (17, 8).
The line is a vertical line intercepting at x = 17.
Thus,
The line containing (17, -12) and (17, 8) has no slope.
The line is a vertical line with an x-intercept at x = 17.
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Which property of addition is shown?
3 +41 + 5 + 6 = 3 + 5+ 41 + 61
Identity property
Associative property
Commutative property
Inverse property
Answer:
ASSOCIATIVE PROPERY
Step-by-step explanation:
A hat contains six purple chips, five green chips, and three orange chips, A chip is selected and
the color is noted. Then replaced. A second chip is selected and its color is noted.
Find the probability of P (Green and Green)
Answer:
B
Step-by-step explanation:
B
Which expression is equivalent to 2 - 35?
Choose 1 answer:
2 + (-35)
B
--35-2
2-(-35)
D
35 - 2
Answer:
2+(-35)
Minus and a plus make a minus
2-35
Answer:
2+(-35)
Step-by-step explanation:
2-35= -33
2+(-35)= -33
To mail 10 letters costs $ 4.50 . How much would it cost for 12 letters? Assume the relationship is proportional.
Answer:
12 letters cost 6.30 dollars
Step-by-step explanation:
hope this helps
Answer:
$5.40 for 12 letters
Step-by-step explanation:
you need to find the cost for 1 unit then multiply that by 12, so you take the cost (4.50) and divide it by letters (10) so you get 0.45. So that is the cost of q letter, then you that that unit rate and multi[ly it by the number that you need to figure out (12) so .45x12=5.40
12 letters=$5.40
Does the following make a right triangle?
A ceramic tile with sides 20 cm, 21 cm, and 29 cm
A. yes
B. no
Answer:
yes
Step-by-step explanation:
In order for it to be a right triangle, it has to be [tex]a^2+b^2=c^2[/tex].
[tex]20^2+21^2[/tex] should equal [tex]29^2[/tex]
400+441 should equal 841
So yes, the lengths make a right triange.
i need help fast fast
Answer:
D. Mountains
Step-by-step explanation:
When two Continental plates crash the land piles upward to forms mountains and hills.
Answer:
Step-by-step explanation:
I D KK
20.) A bird is perched in a tree 28 feet above the surface of the water. He spots a
fish and dives 5 feet into the water to catch it. How far did the bird travel?
Answer:
33 feet
Step-by-step explanation:
Which of these is an example of numerical data?
A Color of kitchen
B. Type of house
C. Distance from home
D. Name of street
Please hurry
Answer:
C
Step-by-step explanation:
Distance is the answer that includes numerical items!
Answer:
Daily temperature
Step-by-step explanation:
Alicia watched a drone take off from a bridge. The height of the drone (in meters above the ground) t minutes
after takeoff is modeled by
h(t) = -3t2 + 12t +96
Alicia wants to know when the drone will land on the ground.
1) Rewrite the function in a different form (factored or vertex) where the answer appears as a number in the
equation
h(t) =
2) How many minutes after takeoff does the drone land on the ground?
minutes
Answer:
h(t) = -3(t-8)(t+4). and 8 minutes
Step-by-step explanation:
The function can be written as: h(t) = - 3(t² - 4t - 32). As per quadratic equation, after take off, the drone will land on the ground after 8 minutes.
What is a quadratic equation?A quadratic equation is an equation that contains a variable with highest degree of 2.
Given, the height of the drone t minutes after take off is modeled by
h(t) = - 3t² + 12t + 96 = - 3(t² - 4t - 32)
Therefore, the function can be written as: h(t) = - 3(t² - 4t - 32)
Therefore, we can write the equation as:
t² - 4t - 32 = 0
⇒ t²- 8t + 4t - 32 = 0
⇒ t(t - 8) + 4(t - 8) = 0
⇒ (t + 4)(t - 8) = 0
Hence, (t + 4) = 0 and (t - 8) = 0
Therefore, t = -4, 8.
As 't' can't be negative, therefore, t = 8.
Therefore, after take off, the drone will land on the ground after 8 minutes.
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Does anyone live in Alabama
Answer: No. Do you?
Step-by-step explanation:
Answer:
yes lots of people live in Alabama there is 4.903 million (2019) but that was in 2019 and people dont know how much there is in 2020 so were still figuring it out but yes there are 4.903 million (2019) people living in Alabama right now
Step-by-step explanation:
i hope this helps
Solve for x in simplest form 11=3/4(3x+12)
Answer: 8/9
Multiply 3/4 by 3x and 12, then subtract the number with out the variable on the right side from both sides.
100000000x3,000,000,000,x650000x-200x100-100000000=....?
Answer:
Do you mean this 100000000* 300000000*650000*(-200)*100-100000000 if so the answer is -3.9E26
Step-by-step explanation:
Remove the parentheses from the (-200)
Multiply the numbers 100000000*300000000*650000*200*100
= -3.9E26-100000000
Subtract the numbers -3.9E26-100000000
= -3.9E26
Hope you enjoy this:) If you need me to explain it more I would love too:))
The Fairview Library is getting ready to move to a bigger building. So, the librarians need to pack 2 tons of books into cardboard boxes. Each box can safely hold about 25 pounds of books. If they already packed 50 boxes, how many more boxes should they expect to use?
Given :
The librarians need to pack 2 tons of books into cardboard boxes. Each box can safely hold about 25 pounds of books. If they already packed 50 boxes.
To Find :
How many more boxes should they expect to use.
Solution :
We know, 1 ton = 2000 pounds
So, 2 ton = 4000 pounds
Minimum number of boxes required for safe handling :
[tex]n=\dfrac{4000}{25}\\\\n=160[/tex]
So, total 160 boxes required.
Therefore, 160 - 50 = 110 many more boxes should they expect to use.
Hence, this is the required solution.
Answer:
110 more boxes
Step-by-step explanation:
find the quote that for -6•(-8)
Answer:
0.75
Step-by-step explanation:
The two negatives cancel each other out and divide like normal. 6 divided by 8 equals 3/4 or 0.75.
2. Which of the following numbers are prime? a) 53 b) 12 c) 18 d) 28
Answer:
a) 53 is prime
Step-by-step explanation:
Answer:
C,D
Step-by-step explanation:
A Prime number is a natural number greater than 1 that is not a product of two smaller natural numbers. A natural number greater than 1 that is not prime is called a composite number. For example, 5 is prime because the only ways of writing it as a product, 1 × 5 or 5 × 1, involve 5 itself
what is the slope of ( 3,1 ) and ( 6,4 )
Answer:
The slope of the line would be 1
(4-1)/(6-3)= 1
Determine if the expression 4x – 10x3 + 2x2 is a polynomial
or not.
Step-by-step explanation:
the correct answer is not a polynomial
What is 5-(n-4)=3(n+2)?
Answer:
-3n-6
Step-by-step explanation:
multiply each term by 3
-3(n+2)
-3n-3*2
-3n-6
Given the equation 2
Square root of x minus 5 = 2, solve for x and identify if it is an extraneous solution. (2 points)
Group of answer choices
x = 9, solution is not extraneous
x = 11, solution is extraneous
x = 9, solution is extraneous
x = 11, solution is not extraneous
Answer:
its none
Step-by-step explanation:
Simplify the expression
Answer:
[tex]2[/tex]
Step-by-step explanation:
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition SubtractionStep 1: Write expression
[tex]\frac{12/2(3)}{3(3)}[/tex]
Step 2: Evaluate
Divide: [tex]\frac{6(3)}{3(3)}[/tex]Multiply: [tex]\frac{18}{3(3)}[/tex]Multiply: [tex]\frac{18}{9}[/tex]Divide: [tex]2[/tex]Which statement correctly compares the function shown on this graph with
the function y = 2x - 5?
A. The function shown on the graph has a smaller rate of change and lower starting point.
B. The function shown on the graph has a smaller rate of change, but a higher starting point.
C. The function shown on the graph has a greater rate of change and a higher starting point.
D. The function shown on the graph has a greater rate of change, but a lower starting point.
The correct option is Option C: The function shown on the graph has a greater rate of change and a higher starting point.
What is the rate of change of function?The rate of change of function is the change in the value of the function with respect to x value.
rate of change of function f(x)= df(x)/dx= f'(x)
Here the function given in the question is y=2x-5
rate of change of function= f'(x)= df(x)/dx= dy/dx= d(2x-5)/dx= 2
the starting point of the function f is y-intercept of the function.
the y-intercept of the function is the point where the function touches the y-axis which can be calculated by putting x value is equals to 0.
y= 2x-5
⇒y= 2*0-5
⇒y= -5
The starting point of function is -5.
Given the graph has slope = |y-intercept| / |x intercept|
= 4/1 =4
rate of change of graph = slope of graph= 4
similarly, the y-intercept of the function is the point where the function touches the y-axis which can be calculated by putting x value is equals to 0.
The y-intercept of the graph= the starting point of the graph= -5
Therefore the function in the graph has a higher rate of change as well as a higher starting point.
From the above, it is clear that the correct option is Option C: The function shown on the graph has a greater rate of change and a higher starting point.
Learn more about the rate of change of function
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Parallelogram JKLM is reflected across a horizontal line through its center and then translated down and to the left to produce parallelogram QTSR
K
110°
R
S
9 ft
70°
M 12 ft
L
T
m
What is true about the angles and side lengths of parallelogram QTSR?
Enter the correct answers in the boxes
Answer:
[tex]\huge\boxed{Q = 110 \textdegree, \ ST = 9 \ \text{ft}}[/tex]
Step-by-step explanation:
When we reflect and transform a figure, the angle lengths nor the side lengths are touched. The side length only changes if we dilate or stretch the figure, and the angle length only changes if we stretch the figure.
Therefore, we know the information is going to be the exact same. We just have to figure out what corresponds to what from JKLM to QTSR.
If we reflect a figure across a horizontal reflection line through its center, the figure will just flip sides. M will be J, L will be K, etc.
When we translate this down, nothing changes except its position. So we can pretend these two shapes are right on top of each other for now.
When we move these right on top of each other, we can see that Angle J overlaps with Angle Q. Since they don't have any weird intersects, we know that angle J will be equal to Angle Q. Since we already know J is 110°, we know Q is also 110°.
When we move it on top, we also see that KL overlaps with ST perfectly. Since we know KL is 9, that must mean ST is also 9.
Hope this helped!
I don't understand this
Answer: m<DEA = 95° also
Step-by-step explanation: I took geometry last year and I don’t remember the exact name of the explanation but both of the angles are equal
can someone do all the even numbers
