Answer:
Direct variation: y = 3x, y = (2/7)x, and -0.5x = y
Not direct variation: x = -1, y = 2.2x + 7, and y = 4
Step-by-step explanation:
We know that the equation for direct variation is y = k · x, where you can fill in for k whatever number you want.
So, let’s figure this out by looking at the equations.
Equation 1: y = 3x
We know this is a direct variation equation because it all fits together and the 3 is a substitute for the variable, k.
Equation 2: x = -1
This is not an example of direct variation because:
1) the variable by itself on one side is x, when it is supposed to be y
2) there is only one number, -1, when instead it should say, -1x.
Equation 3: y= (2/7)x
This is an example of direct variation because the 2/7 is filling in for the k, and everything else matched the direct variation equation.
Equation 4: -0.5x = y
Since it doesn’t matter on which side y is, let’s just turn the equation around to make it simpler.
Now we have:
y = -0.5x
This makes sense because we have everything a direct variation equation needs to have plus the -0.5 substituting in for the k.
Equation 5: y = 2.2x + 7
This is also not an example of direct variation because although it has practically everything that an equation with direct variation has to have, it has that extra 7 there that ruins the equation.
Equation 6: y = 4
This is not an example of direct variation because there is no variable x in here! We have a k, but not an x!
Hope this helps! :)
The equations represent Direct variation are y = 3x, y = (2/7)x, and -0.5x = y
The equations represent Not direct variation: x = -1, y = 2.2x + 7, and y = 4
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
We know that the equation for direct variation can be written as;
y = kx,
Equation 1; y = 3x
This is a direct variation equation because the 3 is a correct value for the variable, k.
Equation 2: x = -1
This is not an example of direct variation because the variable by itself on one side is x, when it is supposed to be y at that place.
Equation 3: y= (2/7)x
This is direct variation because the 2/7 is filling in for the k.
Equation 4: -0.5x = y
Since it doesn’t matter on which side y is, then just turn the equation around to make it simpler.
Now we have;
y = -0.5x
This is a direct variation equation that needs to have plus the -0.5 substituting in for the k.
Equation 5: y = 2.2x + 7
This is also a direct variation because although it has practically everything that an equation with direct variation has to have, it has that extra 7 there that ruins the equation.
Equation 6: y = 4
This is not an example of direct variation because there is no variable x. We have a k, but not an x!
Learn more about equations here;
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Maya can run 18 miles in 3 hours, and she can bike 18 miles in 2 hours.
Chapter Reference
c
Maya biked for 3 hours and then ran for 1 hour and 30 minutes. What distance did she cover?
PLZ HELP IN A BIG RUSH PLZ PLZ PLZ
Answer:
36 miles
Step-by-step explanation:
Maya can bike 9 miles in one hours, meaning that she can bike 27 miles in 3 hours. Since Maya can run 18 miles in 3 hours, and half of 3 is 1.5, she can run 9 miles in 1.5 hours.
Biking Miles + Running Miles= Total Miles
27 + 9= 36 total miles
Answer:
36
Step-by-step explanation:
just trust me and focus on ur test.
10x^2+15x+5??? Rewrite the question by completing the square factor
Answer:
5 • (2x + 1) • (x + 1)
Step-by-step explanation:
Step 1 :
Equation at the end of step 1 :
((2•5x2) + 15x) + 5
Step 2 :
Step 3 :
Pulling out like terms :
3.1 Pull out like factors :
10x2 + 15x + 5 = 5 • (2x2 + 3x + 1)
Trying to factor by splitting the middle term
3.2 Factoring 2x2 + 3x + 1
The first term is, 2x2 its coefficient is 2 .
The middle term is, +3x its coefficient is 3 .
The last term, "the constant", is +1
Step-1 : Multiply the coefficient of the first term by the constant 2 • 1 = 2
Step-2 : Find two factors of 2 whose sum equals the coefficient of the middle term, which is 3 .
-2 + -1 = -3
-1 + -2 = -3
1 + 2 = 3 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, 1 and 2
2x2 + 1x + 2x + 1
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (2x+1)
Add up the last 2 terms, pulling out common factors :
1 • (2x+1)
Step-5 : Add up the four terms of step 4 :
(x+1) • (2x+1)
Which is the desired factorization
So the answer is:
5 • (2x + 1) • (x + 1)
Answer:
2 (that is the answer, hope i helped)
Which equation can be used to find the surface area of the cylinder?
VX
r = 4 in.
h = 16 in.
S= 2 (4)2 + 2 $(4)(16)
O S-2 (8)? + 2 (8)(16)
S = 28(16)2 + 28(16)(4)
Answer:
I am pretty sure the answer is A.
Solve the system of equations:
y= 2x
y = x2 - 3
O A. (-2, 1) and (2, 1)
O B. (-1,-2) and (3, 6)
O C. (-2,-4) and (2, 4)
O D. (-1,2) and (3, 2)
HELP! Please! HELP! Please see attachment to see the problem
Hello hello!
Solving this is simple, just remember the vertical angles theorem. Due to this theorem, you are able to conclude that x+40 and 60 are equal in terms of their angle measure. This means that to solve this, we need to set both sides equal to each other and solve for x, and plug it in!
STEP ONE: 60 = x + 40
DO: Subtract 40 from both sides.
STEP TWO: 20 = x
DO: You've answered the question!
ANSWER: x = 20Which equation represents the relationship between the angles in the figure?
A. 88+b=90
B. 88+b=180
C. 2b+88=90
D. 2b+88=180
Answer:
D
Step-by-step explanation:
this figure equals to 180
so you put add 88 + b+ b=
since 2b is the closest to b+b
Answer:
D I did the quiz i had to figure it out
Step-by-step explanation:
Which statement about the relative areas of triangle ABC and triangle XYZ is true?
Answer:
Step-by-step explanation:
Answer: A. The area of ABC > the areas of XYZ
Step-by-step explanation:
Look up
If θ is an angle in standard position and its terminal side passes through the point (-9,-5), find the exact value of
cot
θ
cotθ in simplest radical form.
Answer:
Step-by-step explanation:9/5 is the answer
(-5)^2 + (-9)^2 =c^2
25 + 81 = c^2
106= c^2
Sqr rt 106 = c
By using trigonometric relations, we will see that:
cot(θ) = 9/5.
How to get the cotangent?We know that if an angle's terminal side passes through the point (x, y), then we can write the tangent as:
tan(θ) = y/x
In this case, we know that the terminal side passes through (-9, -5), then the tangent is:
tan(θ) = -5/-9 = 5/9
And the cotangent is the inverse of the tangent, then:
cot(θ) = 1/tan(θ) = 9/5.
If you want to learn more about trigonometric relations, you can read:
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Solve by completing the square with working out
-6x-x^2-8
Answer:
x = -3 +/- sqrt(17)
Step-by-step explanation:
-6x - (x^2) - 8 = 0
-((x^2) + 6x + 8) = 0
(x^2) + 6x + 8 = 0
(x + 3)^2 - 1 = 0
(x + 3)^2 = 1
x + 3 = +/- sqrt(1)
x + 3 = +/- 1
x = -3 +/- 1
x = -4, -2
A house is listed for sale at $235,000, but the listing does not include square
footage of the house. Based on the comps, the line of best fit is
y=0.06x + 60.5. If the price is fair, what size (in square feet) should the house
be?
A. 2850 ft^2
B. 2900 ft^2
C. 20,000 ft^2
D. 2350 ft^2
Answer:
Option B.
Step-by-step explanation:
If the cost of the house (y) is in thousands and area of the house is x ft².
Cost of the house is modeled by the equation given,
y = 0.06x + 60.5
By substituting the values in the line of best fit,
235 = 0.06x + 60.5
0.06x = 235 - 60.5
0.06x = 174.5
x = [tex]\frac{174.5}{0.06}[/tex]
x = 2908.33 ft²
x ≈ 2900 ft²
Therefore, Option B will be the correct answer.
Find the common difference of the arithmetic sequence -13,-16,-19,
Answer:
common difference=-3
Step-by-step explanation:
[tex] - 13 - ( - 16) = - 13 + 16 = - 3[/tex]
( -2ab+4a-1) - (3ab+1)
Answer:
Step-by-step explanation:
−5ab+4a−2
Answer:
-5ab+4a-2
Step-by-step explanation:
(-2ab+4a-1) - (3ab+1)
-2ab+4a-1 -3ab-1 (you put them out of the brackets by following the procedures. )
-2ab-3ab+4a-1-1 (then you collect like terms)
-5ab+4a-2
Patty is making a candle. She has 6 wax colors, 4 candle scents, and 3 candle shapes to choose from. How many ways can Patty make a candle? a 27 b 72 c 96 d 13
Answer:
b 72
Step-by-step explanation:
you multiply 6 times 4 times 3
hope this right
if it is wrong correct me
Solve this equation. Explain or show your reasoning.
x + 5 =2(x - 3)
Look at the attached picture
Hope it will help you
Answer:
this answer is attached to the picture
x squared + 12 x + 3 = 7 solve by completing the square
ax^2 + bx + c
x^2 + 12x + 3 = 7
x^2 + 12x = 4
Take b, half it, then square it--
x^2 + 12x + 36 = 40
That equation becomes
(x+6)^2 = 40
+ 6 = ± (square root of 40)
= 0.324555
= −12.3246
Answer:
1/6?
Step-by-step explanation:
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
The equation of the line in this graph is y = __x +___.
Answer:
The line equation is y = 1.5x + 3
Fill the first space with '1.5' and the second with '3'
Step-by-step explanation:
The generic model for a line equation is:
y = ax + b
To find the parameters 'a' and 'b', we can use two points of the graph in the equation.
Using the point (0, 3), we have:
3 = 0*a + b
b = 3
Using the point (-2, 0) and the value of b above, we have:
0 = -2*a + b
2a = 3
a = 1.5
So the line equation is y = 1.5x + 3
Find the minimum value of the parabola y =X^2 + 5x – 3
Answer:
Minimum value = −13/4
Step-by-step explanation:
Answer:
-37/4
Step-by-step explanation:
The minimum value of the parabola y =x² + 5x – 3 is f(-b/2a)
in this case a = 1 and b = 5 and c = -3
then
-b/2a = -5/2(1) = -5/2
then
f(-b/2a) = f(-5/2) = -37/4
John’s solution to an equation is shown below.
What property of real numbers did John use for Step 2?
A. multiplication property of equality
B. zero product property of multiplication
C. commutative property of multiplication
D. distributive property of multiplication over addition
1. Anike needs a new pair of athletic shoes for her soccer tryouts. The regular price for the shoes is $129.00. There is a sales tax of 7%. Anike has a budget of $150.00. How much money will Anike have left after this purchase? Round to the nearest cent, like $7.15.
50−(129+129(0.07))=$11.97
129+129(0.07)=$138.03
150+129(0.07)=$140.97
150−(129+150(0.07)=$10.50
2. Harper has budgeted $525 to purchase a new laptop. She found one on sale for $500, and the sales tax is 6.25% in her state. How much will she actually have to pay for the laptop?
$31.25
$531.25
$468.75
$500.00
3. Mr. Robinson is planning to buy a house with the appraised value of $250,000. The property tax rate is 37.658. What are his yearly property tax fees?
$9314.00
$9314.50
$9414.50
$9400.15
PLEASE HELP IM JUST TRYING TO GET PASSED FINANCIAL MATH D:
Answer:
$150-$129-($129*7%)=$11.97
$531.25
$9414.5
Step-by-step explanation:
The amount that Anike would have left is the budgeted amount minus the regular price as well as the applicable sales tax.
Amount left=$150-$129-($129*7%)=$11.97
The amount that Harper would have to pay is the purchase price of $500 plus the 6.25% of sales price as sales tax i.e $500+$500*6.25%=$531.25
The yearly tax fees is the appraised value multiplied by property tax rate i.e $250,000*3.7658%=$9414.5
The property tax rate is 3.7658% not 37.658%
Which two values of xare roots of the polynomial below?
x²-3x+5
Answer:
the image provided is the answer.
Find the value of x in the diagram below.
Answer:
10
Step-by-step explanation:
13x + 5x = 180
18x = 180
x = 10
Ivan bought a box of macadamia nuts to bring home from his trip.
10 in.
3.5 in.
4 in.
HELP ME
AM DESPERATE
Answer: B. 140 cubic inches.
Step-by-step explanation:
The question is asking you to find the volume of the rectangular prism.
You can find this by using this formula:
[tex]V = w*h*l[/tex]
Where w is the width, h is the height, and l is the length.
Substitute the sides of the rectangular prism into the equation:
[tex]V = 3.5 * 10 * 4\\\\V = 140[/tex]
The volume of the prism is 140 cubic inches.
The correct answer is B.
Aquarium one contains 4.6 gallons of water. Louise will begin filling aquarium one at a rate of 1.2 gallons per minute.
Aquarium two contains 54.6 gallons of water. Isaac will begin draining aquarium to at a rate of 0.8 gallons per minute.
After how many minutes will both aquariums contain the same amount of water?
Answer:
25
Step-by-step explanation:
4.6 + 1.2g = 54.6 -.8g
1.2g + .8g = 54.6 - 4.6
2g = 50
g = 25
Answer:
Hideki is draining a 45-gallon aquarium at a rate of 15 gallons per minute. Let's solve for the initial value of the linear function that represents thissituation. => 45 gallon aquarium at rate of 15 gallons per minute.
=> 45 gallon / 15 gallon = 3 minutes. Therefore with the rate of 15 gallons per minutes, Hideki will be able to finish the 45 gallon aquarium in 3 minutes.
Step-by-step explanation:
What is the cost of 1 Apple and of 3 apples?
Answer:
The cost of 1 apple is a third of the price of 3 apples
Step-by-step explanation:
google says that apples are $1.49 a pound
1=$1.49
3=$4.47
A fast food restaurant sells hamburgers at $5.50 each and hot dogs at $4 each. 1) Write an algebraic expression to find the total sales revenue if the fast food restaurant sells x hamburgers and y hot dogs. 2) What is the total sales revenue of the fast food restaurant if x=30 and y=45?
Answer: $ 345
Step-by-step explanation:
The equation is 5.50x + 4y
Plugging the numbers in: 5.50(30) + 4(45)
$165 worth of hamburgers + $180 worth of hot dogs = $345 total sales revenue
In a certain country, the car license plate formed by 4 numbers from the digits 1-9 followed by 3 letters from the alphabet. How many license plates can be formed if neither the digits nor the letters are repeated?
Answer:
78,624,000 license plates
Step-by-step explanation:
For each of the 4 numbers, we have the following possibilities:
First number: 10 digits possible
Second number: 9 digits possible (one used)
Third number: 8 digits possible (two used)
Fourth number: 7 digits possible (three used)
For each of the 3 letters, we have the following possibilities:
First letter: 26 digits possible
Second letter: 25 digits possible (one used)
Third letter: 24 digits possible (two used)
The total number of license plates is the product of all these possibilities:
Number of plates = 10 * 9 * 8 * 7 * 26 * 25 * 24 = 78,624,000 license plates
The license plates can be formed if neither the digits nor the letters are repeated is 78,624,000.
What are permutation and combination?A permutation is an act of arranging the objects or elements in order. Combinations are the way of selecting objects or elements from a group of objects or collections, in such a way the order of the objects does not matter.
In a certain country, the car license plate is formed by 4 numbers from the digits 1-9 followed by 3 letters from the alphabet.
There are 10 numbers.
And there is 26 alphabet.
The license plates can be formed if neither the digits nor the letters are repeated will be
[tex](number)(alphabet)\\\\(9*8*7*6)(26*25*24) \\\\78,624,000[/tex]
The license plates can be formed if neither the digits nor the letters are repeated is 78,624,000.
More about the permutation and the combination link is given below.
https://brainly.com/question/11732255
I need heelpppp plz hurry
Using Pythagoras theorem,
H^2 = P^2 + B^2
h = 200
p = 2x
b = 6x
Solving,
(200)^2 = (2x)^2 + (6x)^2
40000 = 4x^2 + 36x^2
40000 = 40x^2
40000/40 = x^2
1000 = x^2
[tex]\sqrt{1000}[/tex] = x
x = 31.62 ft
Find an ordered pair (x, y) that is a solution to the equation.
2x-y=7
Answer:
(0,−7)
Step-by-step explanation:
Since this is the equation of a straight line, there are no restrictions on what you could choose for a value of x. In "official" terms, we say the domain of the function is all real numbers.
Say you pick something simple like x=1. Now, insert this value, and the equation becomes
2−7=y
or y=−5
This means (1,−5) must be a point on the line, and it is also an ordered pair that satisfies the equation.
Time Temperature(०F)
9:00 60
10:00 62
11:00 64
12:00 68
find the constate rate
Answer:
it is +2 every time
Step-by-step explanation:
hope this helps please give me brainiest
The frequency table shows the number of t-shirts each person in a class owns. Which histogram is displayed correctly from the frequency table?
Answer:
I think its option 1
Step-by-step explanation: