Suppose y varies directly as x, and y = 7 when x = 2. Find x when y = 21.
Answers
Answer:
Step-by-step explanation:
y = k x X
7 = k x 2
7/2 = k...............1
hence y = 7/2x (substituting eq 1)
y = 21
therefore, x = 2y/7
x = 2 x 21
7
x = 2 x 3
x = 6
The required value of x is 6, when y =21 and y directly varies as x.
What is proportion?A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio.
Given that,
y directly varies as x,
Implies that,
y ∝ x
or y = k x (1)
When x = 2 and y = 7, from equation (1)
7 = k × 2
k = 7 / 2
To find the value of x when y = 21,
Substitute values of k = 7 /2 and y = 21 in equation (1),
21 = (7 / 2) × x
3 × 2 = x
x = 6
The value of x when y = 21, is 6.
To know more about Proportion on:
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Related Questions
I REALLY NEED HELPPPPP!! Write a paragraph proof for the following conjecture:
Given: m∠ 1 + m∠ 2 = m∠ 4
Prove: m∠3 + m∠1 + m∠2 = 180
Answers
Answer:
Given: measure 1 + measure 2 = measure 4
measure 4 + measure 3 must be 180 degrees because they are supplementary
If measure 4 + measure 3 is 180, and measure 1 + measure 2 = measure 4, we can substitute measure 4 in the first equation for measure 1 + measure 2.
Therefore, we arrive at the answer measure 1 + measure 2 + measure 3 = 180.
I really hoped this helped, and if it did, please consider giving me brainliest.
2(x - 6) + 6 = 4x - 2
What’s the value of X?
Answers
Answer:
x = -2
Step-by-step explanation:
Step 1: Write equation
2(x - 6) + 6 = 4x - 2
Step 2: Solve for x
Distribute 2: 2x - 12 + 6 = 4x - 2Combine like terms: 2x - 6 = 4x - 2Subtract 2x on both sides: -6 = 2x - 2Add 2 to both sides: -4 = 2xDivide both sides by 2: -2 = xRewrite: x = -2Step 3: Check
Plug in x to verify it's a solution.
2(-2 - 6) + 6 = 4(-2) - 2
2(-8) + 6 = -8 - 2
-16 + 6 = -10
-10 = -10
Answer:
distribute the 2. add -12+6. add 2 to both sides. decide both sides by 2. x= -2
Find the smallest value of p
such that 36p is a perfect cube.
Answers
Answer:1
Step-by-step explanation: 36(1)=36 and the square root of 36 is 6
6x6=36
Answer:
1
Step-by-step explanation:
What is the volume of a cone with a hieght of 27 cm and a radius of 13 cm ? Round your answer to the nearest tenth.
Answers
Answer:
4778.36
Step-by-step explanation:
With the equation 3z + 3 = 22 + 6, the value of z is
Answers
Please help with this problem
Answers
Answer:
ok its 45
Step-by-step explanation:
No problem
Answer:
the 48 oz becuase it more then the others and its cheaper
Step-by-step explanation:
What’s the answer?????
Answers
Answer:i know you it
Step-by-step explanation:
you know it
(3) (-9) what is the answer
Answers
Answer:
-27
Step-by-step explanation:
Positive times negative is always a negative or use a calculator
Pour tout réel x, on pose : f(x) = -2x²+4x+6. Vérifier que (-1) est une racine de ce polynôme f. On sait que l'axe de symétrie de la parabole qui représente f est la droite d'équation : x=1. Déduire de cette information l'autre racine du polynôme f. Factoriser le polynôme f. Aidez-moi svp meci d'avance
Answers
Explication étape par étape:
Étant donné la fonction polynomiale f (x) = -2x² + 4x + 6. Pour vérifier si f (-1) est un facteur de l'expression, nous devons montrer que f (-1) est équivalent à zéro. S'il est nul, donc x + 1 est un facteur du polynôme.
Preuve
f (x) = -2x² + 4x + 6
f (-1) = -2 (-1) ² + 4 (-1) +6
f (-1) = -2 (1) -4 + 6
f (-1) = -2-4 + 6
f (-1) = -6 + 6
f (-1) = 0
Puisque f (-1) = 0, donc x + 1 est un facteur du polynôme.
Ensuite, il faut obtenir l'autre racine du polynôme. Pour obtenir cela, nous devons factoriser la fonction polynomiale donnée.
Soit f (x) = 0
-2x² + 4x + 6 = 0
multiplier par -1
2x²-4x-6 = 0
diviser par 2
x²-2x-3 = 0
x²-3x + x-3 = 0
x (x-3) +1 (x-3) = 0
(x + 1) (x-3) = 0
x + 1 = 0 et x-3 = 0
x = 1 et x = 3
Par conséquent, l'autre racine du polynôme en dehors de 1 est x = 3
Which of the following is a line that is
perpendicular to y
2 and passes
through the point (-2,4)?
y - 4= 1/3 (x + 2)
y - 4= -3(x+2)
y - 4= -3(x - 2)
y - 4= 3(x + 2)
Answers
Answer:
y - 4= -3(x - 2)
I'm 101% sure
f(x)+-3x+5 for f(-2)
Answers
Answer:
f(-2)=11
Step-by-step explanation:
f(-2)=-3(-2)+5
=6+5
=11
please help this is timed
Answers
Answer:
66 degrees
Step-by-step explanation:
I dont remember the name of this law but ik its right
3x2 + 8x - 10
Please someone help ...
Answers
HELP PLEASE!!! I dont get this and its due in 5 minutes
If y varies directly with x and y=−54 when x=−20, then which equation best represents this proportional relationship?
1. ) y = 0.37x
2.) y = 2.7x
3.) y = -0.37x
4.) y = -2.7x
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Graph the following system of equations. Click on the graph until the correct one appears.
y > x
y ≤ -x + 2
(look at attached pictures)
Answers
Answer:
pic 2
Step-by-step explanation:
If 2y+2w=x, then w, in terms of x and y, is equal to
Answers
Answer:
w=-y+1/2x
Step-by-step explanation:
Its literal equations, so just solve like any other variable equation. Set your w value to the equal, and isolate the said variable
The first four terms of a sequence are show below. 3, 9, 27, 81.. Which function models this sequence?
A) 3^n,
B) 3^n-1
C)3n
D)9(-3)^n-1
Please help
Answers
A father is 30 years elder than his son. after 8 years he will be 4 times as old as his son. find their present ages
Answers
Father is 30 years older than the son.
After 8 years , he will be 4 times as old as his son.
Find:their present ages
Solution:Let the son's age be x and age of father be y years
⟹ Father's age = Son's age + 30
⟹ y = x + 30 -- equation (1)
Also,
Son's age after 8 years = (x + 8) years.
Father's age after 8 years = (y + 8) years.
According to the above condition,
⟹ y + 8 = 4(x + 8)
⟹ y + 8 = 4x + 32
Substitute the value of y from equation (1).
⟹ x + 30 + 8 - 32 = 4x
⟹ 6 = 4x - x
⟹ 6 = 3x
⟹ 6/3 = x
⟹ 2 = x
Substitute the value x in equation (1).
⟹ y = 2 + 30
⟹ y = 32
Therefore,
Son's present age = x = 2 years.
Father's present age = y = 30 years.
I hope it will help you.
Regards.
Answer:
→ 11(2 + y) + 11y
→ 22 + 11y + 11y = 154
→ 22y + 22 = 154
→ 22y = 154 - 22
→ 22y = 132
→ y = 132/22
→ y = 6
Step-by-step explanation:
Solve: - 4x +3<-9
idk tbh
Answers
Answer:
[tex]x > 3[/tex]
Step-by-step explanation:
Luckily for our brains, inequalities work very similar to equations when solving. Let's get on it.
First, we need to subtract 3 from both sides to isolate the -4x (this means we can then divide to get x by itself).
Which leaves us with [tex]-4x<-12[/tex].
Now we need to divide both sides by -4. Here's the thing - with inequalities, when we divide both sides by a negative, the sign flips! So after doing this simplification, our inequality looks like this: [tex]x > 3[/tex]
And there's your answer. :)
Answer:
x>3
Step-by-step explanation:
Help me ASAP WILL GIVE BRAINLIEST AND 5 STAR RATE (not a real test)
Answers
Answer:
y = -2
Step-by-step explanation:
y-intercept is the point of y at which x is zero
so it is (0,-2) when y= -2
Hope it helps!
is this true the square root of a positive number is always less than the half of the number itself
Answers
Step-by-step explanation:
yes ........................................ ..
What is the solution to this system of linear equations?
y − x = 6
y + x = −10
a. (−2, −8)
b. (−8, −2)
c. (6, −10)
d. (−10, 6)
Answers
Answer:
B: (-8,-2)
you add the equation to solve the first variable, then plug in the values to the other equation to find the last variable
good Luck!!!
What is cos(3π)?
1
0
-1
-2
Answers
Answer:
cos(3π) is 0.986 which rounds to 1
Step-by-step explanation:
Answer:
-1
Step-by-step explanation:
edge 2020
Solve the equation
x + 3x – 7 = 0
Give your answers to 2 decimal places.
Answers
Answer:
x = 1.75
Step-by-step explanation:
7 / 4 = 1.75
x + 3x = 4x
$haA graph has time (years) on the x-axis and height (inches) on the y-axis. A line goes through points (2, 3) and (4, 6). The graph shows a linear relationship between the height and years of a plant’s growth. Find the rate of change. Select all that apply. The rate of change of a linear function is always the same. The rate of change of a linear function increases as the input increases. The rate of change from 2 years to 4 years on the graph is 1.5 inches per year. The rate of change from 0 years to 6 years on the graph is 1.5 inches per year.
Answers
Answer:
The rate of change of a linear function is always the same.
The rate of change from 2 years to 4 years on the graph is 1.5 inches per year.
The rate of change from 0 years to 6 years on the graph is 1.5 inches per year.
Step-by-step explanation:
Vote brainiest
please help urgent easy 8th grade math
Answers
Answer:
No Solution
Step-by-step explanation:
8x-3(1+6x) -2>5(1+2x)
-10x-5>-5-10x
(Add 5 to both sides)
-10>-10x
(Add 10x to both sides)
-10x+10x>-10x+10x
Therefore , this equation has no solutions.
Answer:
-1=x
Step-by-step explanation
8x-3(1+6x)-2> 5(1+2x)
8x-3(7x)-2>5(3x)
8x-21x-2>15x
13x-2>15x
-13 -13
-2 2x
2 2
-1 x
what do the differences between the points represent
Answers
Answer:
The point represent the difference between the two sides that what are different between them.
If a point (x,y) is rotated 90 degrees counterclockwise around the origin, what will the resulting coordinate be?
Answers
Answer:
Step-by-step explanation:
90 degrees clockwise will result in a (+,+) answer.
90 degrees counterclockwise will result in a (-,+) answer.
Think of your quadrants.
Quadrant 1 the answer will be (+,+)
Quadrant 2 the answer will be (-,+)
Quadrant 3 the answer will be (-,-)
Quadrant 4 the answer will be (+,-)
It all depends where you are starting, so if you have to go counter clockwise from the third quadrant, your answer will be a coordinate that is (+,-).
I wish you would have shared more information, but I hope this helps.
Answer:
(a) AB
Step-by-step explanation:
$98.45 − $10.63 + $2.82 − $20.26
Answers
Answer:
70.38
Step-by-step exp7lanation:
$98.45 − $10.63 + $2.82 − $20.26 = 70.38
Answer:70.38
Step-by-step explanation:
Find the next two numbers in the pattern.
−12,60,−300,1500
Answers
the pattern is
multiplied by -5
so...
1500 *-5 = -7500
-7500*-5 = 37500
hope this helps
Answer:
-7500,37500 are next two numbers in the pattern