In the given equation, as the value of y increase, the value of x also
increases.
Yes, 4·y = 16·x is a direct variationReasons:
A direct variation is a relationship that exists between two variables. It is
also known as a direct proportion which can be expressed as; y = k·x
Where k is a number
The given equation is 4·y = 16·x
Dividing both sides by 4 gives;
[tex]\displaystyle \frac{4 \cdot y}{4} = \frac{16 \cdot x}{4} = \frac{4 \times 4 \cdot x}{4}[/tex]
Which gives;
y = 4·x
Comparing the above equation with the equation for a direct variation gives;
y = 4·x
y = k·x
Therefore;
k = 4
The equation, y = 4·x, and therefore, the equation from which it is derived, 4·y = 16·x, is a direct variation.
Learn more about direct variation here:
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what is equivelent to 4x+(2x+4)?
Answer:
8x + 16
Step-by-step explanation:
4x times 2x = 8x
4 times 4 = 16
8x + 16
YW!!!
Answer:
The solution is 6x+4
Step-by-step explanation:
4x+(2x+4)
= 4x+2x+4
= 6x+4
in the parentheses we lose it because it is added instead of multiplied
9. Find the slope of the line
that passes through the
following pairs of points.
a. (5, 4) and (-4,3)
B. (10, 8) and (9, 13)
Answer:
a]y= 0.11x + 3.44
b]y= 0.11x + 3.44
explanation:
y=mx+b form
What is the simplified form of
3+2−14−24
−4
when x ≠ 4?
The product of three less than a number and eight is nine
Answer:
[see below]
Step-by-step explanation:
Three less than a number (x) would be: x - 3
"The product of three less than a number and eight" would be 8(x-3).
The product of three less than a number and eight is nine would be:
8(x-3) = 9
[tex]8(x-3) = 9\\\rule{150}{0.5}\\8x - 24 = 9\\\\8x - 24 + 24 = 9 + 24\\\\8x = 33\\\\\frac{8x = 33}{8}\\\\x = \frac{33}{8}[/tex]
Hope this helps.
what is 1/5 of 15? ( algebra)
Answer:
3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
Enter a number in the box so that the equation will have no solution.
Answer:
156
Step-by-step explanation:
A recipe requires 2 eggs for every 5 dozen cookies. At this rate, how many eggs are required for 30 dozen
Answer:
12
Step-by-step explanation:
Theres 6 5's in 30. ( 5,10,15,20,25 and 30.)
There is 2 eggs in every 5 dozen cookies, ( 5d, 2, 10d, 4, 15d, 6, 20d, 8, 25d, 10, 30d, 12.) The d means dozen by the way...
I am so sorry if you use this and get it wrong!! I am not good at math!! And i am sorry, this is probably confusing >-<
In which direction must the graph of Rx) = 7% be shifted to produce the graph of g(x) = 7% + 7?
O A right
OB. Up
OC. left
OD. down
Answer:
B. Up
Step-by-step explanation:
If you alter a function by adding or subtracting a constant to the end of the expression, then the graph will slide up (down if subtracting) If you alter the x value by altering the expression in close to the x with addition or subtraction the graph will slide left or right.
Vertical translations (sliding up or down) go up when adding and down when subtracting as you would expect it to.
Horizontal translations are the oppoof what you might expect. A (x-h) will shift the graph right, while a (x+k) will shift the graph left.
The answer to your question is UP.
Please help I need help by the end of today
Answer:
A. x = 7, y = 3
Step-by-step explanation:
The triangles are congruent by HL if the hypotenuses are congruent, and if the marked legs are congruent.
3x -1 = 6y +2 . . . . hypotenuses are congruent
2x = 5y -1 . . . . . . .legs are congruent
Subtracting 2 times the first equation from 3 times the second gives ...
3(2x) -2(3x -1) = 3(5y -1) -2(6y +2)
6x -6x +2 = 15y -3 -12y -4
9 = 3y . . . . . . . . . . . add 7 and simplify
y = 3 . . . . . . . . divide by 3
This value of y matches only answer choice A.
Plz help! I have two parts to this :(
If I am correct, it is 36 because its b x h x l x 1/2
A pair of parallel lines is cut by a transversal:
A pair of parallel lines is cut by a transversal. The interior angle made on the left by the intersection of the upper parallel line and the transversal is divided into 2 parts by a slanting line. One part of this angle is labeled as x, and the other part is labeled as 30 degrees. The interior angle made on the right by the intersection of the lower parallel line and the transversal is labeled as 75 degrees.
What is the measure of angle x?
10 degrees
15 degrees
45 degrees
60 degrees
Answer:
i wish i could help but i'm trynna figure that out myself
Step-by-step explanation:
Answer:
im pretty sure it might be 50
Step-by-step explanation:
How can I solve for t?
Answer:
This is not possible with 2 equal symbols
if the lines that comprise a system of equations have two different y-intercepts, is it possible that the system has infinitely many solutions?
Answer:
No, it is not possible.
Step-by-step explanation:
A system of linear equations with infinitely many solutions must meet at every single point. That means they have both the same y-intercept and the same slope. If either one of those are different, there cannot be infinitely many solutions.
Solve this question with Statements and reasoning.
Here
[tex]\\ \sf\longmapsto PD\cong PC[/tex]
As
P is the midpoint of AC and BD
[tex]\\ \sf\longmapsto AC=BD[/tex]
[tex]\\ \sf\longmapsto AP+PC=PD+BP[/tex]
Put PD=PC[tex]\\ \sf\longmapsto AP+PC=PC+PB[/tex]
Cancel PC[tex]\\ \sf\longmapsto AP=BP[/tex](Proved)
If
f (x) = -3x + 15
find:
f (x)
-6
Answer:
33
Step-by-step explanation:
f(-6) = -3(-6) + 15
= 18 + 15
= 33
Maci is saving money to go to Disney world for spring break. She has saved $570 so far. She works at Walmart and makes $9.20 per hour. How many more hours must work ur she needs a total of $800 to go to Disney world?
Answer:
25 hours
Step-by-step explanation:
subtract 800 from 570 to find out how much more she needs to save
divide your answer by 9.20
hope you understand
About how many years would it take you to earn $1000 simple
interest on an investment of $800 at 9% annual interest?
A)
8
B)
10
C)
12
D)
14
Ratios and Proportional Relationships
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14 year it would take to earn $1000 simple interest on an investment of $800 at 9% annual interest.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Let the number of years be represented as T
Now , the equation will be
The simple interest I = $ 1000
The rate of interest R = 9 %
The principal amount P = $ 800
Simple Interest = ( Principal Amount x Rate x Time Period ) / 100
Substituting the values in the equation , we get
1000 = ( 800 x 9 x T ) / 100
On simplifying the equation , we get
72T = 1000
Divide by 72 on both sides of the equation , we get
T = 13.89 years
Therefore , the number of years is approximated to 14 years
To learn more on Percentage click:
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What is the HCF of 62 and 24 ?
Answer: As you can see when you list out the factors of each number, 2 is the greatest number that 24 and 62 divides into.
Step-by-step explanation:
What is mAngleMHJ? 35 50 72.5 92.5
Answer:
Do you have any picture?
Answer:
50
Step-by-step explanation:
B.
At the end of the day, a bakery had 6/7 of a pie left over. Louie, Duey and Huey split the pie, with each taking home the same amount of leftover pie. How much pie did Louie take home?
Answer:
2/7 of the pie
Step-by-step explanation:
6/7 / 3 = 2/7
Find the sine of ∠D.
Write your answer as an integer or as a decimal rounded to the nearest hundredth.
We know
[tex]\\ \sf{:}\Rrightarrow sin\Theta=\dfrac{Perpendicular}{Hypotenuse}[/tex]
Now
[tex]\\ \sf{:}\Rrightarrow sinD=\dfrac{FE}{DE}[/tex]
[tex]\\ \sf{:}\Rrightarrow sinD=\dfrac{55}{73}[/tex]
Can someone plz help Me?
Answer:
D
Step-by-step explanation:
As the y value doesn't change between the points that means that it would be reflected over the y axis
Nina can stitch 2/3 of a dress in 4 hours. If d represents the number of dresses and h represents the number of hours, which equation represents this proportional relationship? A: d=6h B: 3D=4h C: d=1/6h D: d=4h E: 1/6d=12h No links, only answer if you know pls, will give brainliest and like if right.
Answer:
The answer is A.
Explanation:
A is true because 2/3 of a dress takes a full four hours. That means 1/3 is finished every 2 hours. So if you add both 4 and 2 together you get 6 hours :)
Hope this helped
For what value of y is the perimeter of the Shape 220 cm? and given sides are 5y+4 and 2y+36
Given that:
Length of the rectangle = (5y+4) cm
Breadth of the rectangle = (2y+36) cm
We know that formula for
Perimeter of a rectangle = 2(l+b) units
⇛P = 2(5y+4+2y+36) cm
⇛ P = 2(7y+40) cm
⇛ P = 14y+80 cm
According to the given problem
The perimeter = 220 cm
⇛ 14y+80 = 220
⇛14y = 220-80
⇛14y = 140
⇛y = 140/14
⇛y = 10 cm
Therefore, the value of y = 10 cm Ans.
also read similar questions: A rectangular prism has a volume of 220 cubic cm and a height of 5 cm. Its base might have sides that measure:
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If the ratio of the measures of the sides of a triangle is 5:6:9 and its perimeter is 220. what are the measures of the sides
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.pleseee help so important
my answer with solving steps
#CARRYONLEARNING
LOVEUALL
how do you solve 9r=3r+6
Answer:
r=1
Step-by-step explanation:
9r=3r+6
-3r -3r
6r=6
/6 /6
r=1
Check your answer:
9(1)=3(1)+6
9=9 ✔️
What is the equation for the line described in #9And #10?
Answer: it is definitely c. y=3x+2
Step-by-step explanation: solve the first equation and then plug in
Anyone know how to solve 28?
Answer:
i need help too
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
x = - 3 is a vertical line parallel to the y- axis.
A line perpendicular to it will therefore be a horizontal line parallel to the x- axis with equation
y = c
where c is the value of the y- coordinates the line passes through.
The line passes through (6, - 4 ) with y- coordinate - 4 , then
y = - 4 ← equation of perpendicular line
can someone help me out plz
Answers:
A = 3
B = -7
C = 3
D = -7
======================================================
Explanation:
You could use the AC method to factor, but I think the method described below is a more efficient way of factoring.
Set the given expression equal to zero and solve for x using the quadratic formula. So the goal is to find the roots for [tex]9x^2-42x+49=0[/tex]
We'll plug in a = 9, b = -42, and c = 49.
[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(-42)\pm\sqrt{(-42)^2-4(9)(49)}}{2(9)}\\\\x = \frac{42\pm\sqrt{0}}{18}\\\\x = \frac{42+0}{18}\\\\x = \frac{42}{18}\\\\x = \frac{7}{3}\\\\[/tex]
Because the root is x = 7/3, it leads to the factor 3x-7 = 0
Note that we go from x = 7/3 to 3x = 7 after multiplying both sides by 3. Then we subtract 7 from both sides.
It turns out that we have two copies of the identical factor (3x-7) because x = 7/3 is a double root.
So in reality we have the factorization (3x-7)(3x-7) which we can shorten into (3x-7)^2 if we wanted.
Use the box method or FOIL method to expand (3x-7)(3x-7) and you should get 9x^2-21x-21x+49 which simplifies to 9x^2-42x+49. This confirms we have the correct factorization.
Therefore, A and C are both 3, while B and D are both -7.
What is NOT the value for p? (Multiple Answers)
9
8
6
7
The definite value for p is 9.
But how are 8, 7, or 6 the value of p?
I personally think that you should contact the teacher who made this question. He/She probably meant to say What IS the value for p?
You use algebra to get the value for p:
20p-45 = 9p + 5p
Start solving from there.