Determine whether y varies directly with x. If so, find the constant of variation k write the equation
Answers
Answer:
It varies directly
k = [tex]\frac{5}{3}[/tex]
Step-by-step explanation:
Table:
x y
7 11
8 13
9 15
10 17
Problem:, determine if y varies directly as x
Solution:
The equation to determine if they vary directly is;
y ∝ x
y = kx
From the table, y varies directly as x. As y increases, x also increases.
To find k, use any convenient value of y and x ;
y = 15 and x = 9;
15 = k x 9
k = [tex]\frac{15}{9}[/tex] = [tex]\frac{5}{3}[/tex]
Related Questions
evaluate the expression when c=5 and d=8. c+7d
Answers
Answer:
C+7d
5+7(8)
5+56=61
Step-by-step explanation:
Answer: 61
Step-by-step explanation:
This is an algebraic equation. You need to replace the variables with their values.
Step 1: Given c=5 and d=8.
5 + 7*8
Step 2: Solve the equation. Following the rules of PEMDAS, first multiply the 7 times the 8. Then, add 5 to that.
7 * 8 = 56
5 + 56 = 61
What is the slope of a line that is parallel to the graph of 2x+3y=5?
Answers
Answer:
2/3
Step-by-step explanation:
I checked on desmos.
Elyse wants to buy a new softball glove that costs $46.50. She has $15 and plans to save $5.25 each week. How many weeks will it take her to save the money?
write an equation using x as the variable
plz hurry im being timed
Answers
Answer:
$46.50 = $15+ $5.25x
it will take her 6 weeks
Step-by-step explanation:
she has $15, so that stays the same and the amount she saves each week is multiplied by the number of weeks. then solve the equation to find the value of x or the number of weeks and get 6 weeks
Answer:
6 weeks
Step-by-step explanation:
5.25 times 6 equals 31.5 plus 15 equals 46.50
It cost Samantha $4.23 to send 47 text messages. How much does each text cost to send?
Answers
Answer:
456
Step-by-step explanation:
Answer:
i think its 0.09
Step-by-step explanation:
Find the distance between (8,-4,7) and (8,5,3)
Answers
Answer:
sqrt(97)
Step-by-step explanation:
Since the x for both of the points are the same, we can reduce the problem to "find the distance between (-4, 7) and (5, 3)".
To do that, we can use the Pythagorean theorem, where (change in x)^2+(change in y)^2 = (distance)^2:
(5-(-4))^2+(3-7)^2=d^2
(9)^2+(-4)^2=d^2
81+16=d^2
97=d^2
d=sqrt(97).
If f(x) = 7x + 9, what is the value of f(2)?
Answers
Answer: f ^− 1 ( x ) = x /7+ 9/ 7
Step-by-step explanation:
Replace f ( x ) with y .
y = 7 x− 9
Interchange the variables.
x = 7 y − 9
solve for y
y = x/ 7 + 9 /7
Solve for y and replace with f ^− 1 ( x ) .
f ^− 1 ( x ) = x /7+ 9/ 7
Solve for x
3x - 10 = -9x + 14
Answers
Answer: X=2
Step-by-step explanation:
3x-10=-9x+14
+9x +9x
12x-10=14
+10 +10
12x=24
24/12=2
So X=2
Answer:
x=2
Step-by-step explanation:
add 10 to both sides
simplify
add 9x to both sides
simplify 3x+9x to 12x
divide both sides by 12
x=2
If 2x = 10, find the value of 1 - 2x
Answers
Answer:
2x=10
divide by 2
x=5
1-2x
1-2(5)
1-10
answer is -9
Answer:
-9
Step-by-step explanation:
First solve the equation, 2x=10 to get the value of x
2x = 10
x = 10÷ 2
x= 5
now, put this value of x in the expression 1-2x
1 - 2x
= 1- 2(5)
= 1- 10
= -9
expand (2a +36) (2a-3b
Answers
(
a
+
b
)
n
=
n
∑
k
=
0
n
C
k
⋅
(
a
n
−
k
b
k
)
(
a
+
b
)
n
=
∑
k
=
0
n
n
C
k
⋅
(
a
n
-
k
b
k
)
.
3
∑
k
=
0
3
!
(
3
−
k
)
!
k
!
⋅
(
2
a
)
3
−
k
⋅
(
−
3
b
)
k
∑
k
=
0
3
3
!
(
3
-
k
)
!
k
!
⋅
(
2
a
)
3
-
k
⋅
(
-
3
b
)
k
Expand the summation.
3
!
(
3
−
0
)
!
0
!
⋅
(
2
a
)
3
−
0
⋅
(
−
3
b
)
0
+
3
!
(
3
−
1
)
!
1
!
⋅
(
2
a
)
3
−
1
⋅
(
−
3
b
)
+
3
!
(
3
−
2
)
!
2
!
⋅
(
2
a
)
3
−
2
⋅
(
−
3
b
)
2
+
3
!
(
3
−
3
)
!
3
!
⋅
(
2
a
)
3
−
3
⋅
(
−
3
b
)
3
3
!
(
3
-
0
)
!
0
!
⋅
(
2
a
)
3
-
0
⋅
(
-
3
b
)
0
+
3
!
(
3
-
1
)
!
1
!
⋅
(
2
a
)
3
-
1
⋅
(
-
3
b
)
+
3
!
(
3
-
2
)
!
2
!
⋅
(
2
a
)
3
-
2
⋅
(
-
3
b
)
2
+
3
!
(
3
-
3
)
!
3
!
⋅
(
2
a
)
3
-
3
⋅
(
-
3
b
)
3
Simplify the exponents for each term of the expansion.
1
⋅
(
2
a
)
3
⋅
(
−
3
b
)
0
+
3
⋅
(
2
a
)
2
⋅
(
−
3
b
)
+
3
⋅
(
2
a
)
⋅
(
−
3
b
)
2
+
1
⋅
(
2
a
)
0
⋅
(
−
3
b
)
3
1
⋅
(
2
a
)
3
⋅
(
-
3
b
)
0
+
3
⋅
(
2
a
)
2
⋅
(
-
3
b
)
+
3
⋅
(
2
a
)
⋅
(
-
3
b
)
2
+
1
⋅
(
2
a
)
0
⋅
(
-
3
b
)
3
Simplify each term.
Tap for more steps...
8
a
3
−
36
a
2
b
+
54
a
b
2
−
27
b
3
8
a
3
-
36
a
2
b
+
54
a
b
2
-
27
b
3
below are two parallel lines with a third line intersecting them
Answers
Hope it helps !
a= 18 in.
C = 82 in.
What is the length of b?
Answers
Answer:
B should equal 80
Step-by-step explanation:
Answer:
80
Step-by-step explanation:
Use Pythagorean theorem so 18^2 +b^2 =82^2 which is 324 +b^2=6724 then subtract 324 on both sides then square root which is 80
What is the slope of a line perpendicular to the line in the graph
-2/3
3/2
-3/2
2/3
PLS ANSWER ASAP
Answers
Answer:
3/2
Step-by-step explanation:
opposite inverse
HELP ME ASAP BRO THIS IS DUED BY TONIGHT, LITERALLY ANYONE OUT THERE
Show Work Pleaseeee
What is the m< BAD? ( If you are confused look at the picture provided)
Answers
Answer:
The measurement of angle BAD would be 120°.
How To Do It:
You set the expressions equal to each other & solve for x. Then you plug x into each expression & add them.
Set Expressions Equal To Each Other To Find The Value Of X:
(13x-31)=(x+53)----------add 31 to each side
13x=(x+84)----------subtract x from both sides
12x=84----------divide both sides by 12
x=7
Plug-In The Value Of X To Each Expression & Add:
(13(7)-31)+((7)+53)----------distribute the 7 to each coefficient
(91-31)+(7+53)----------add/subtract numbers inside the parentheses
(60)+(60)----------add the final products together
120----------*Final Answer*
Which Is The Correct Classification And Decimal Expansion of 3/8
Answers
Answer:
3/8 = 0.375
Step-by-step explanation:
I used a calculator
Robert is moving and must rent a truck. In addition to an initial fee, the rental company charges a fee of $1.50 per mile driven. If Robert were to drive 4 miles, the total cost would be $26. Write an equation for C, in terms of m,m, representing the total cost of renting the truck if Robert were to drive mm miles.
Answers
Answer:
son $23.345 creo que si espero que si sea
A recipe requires 1/3 cup of milk for each 1/4 cup of water. How many cups of water are needed for each cup of milk ?
Answers
Answer:
0.75 or 3/4
Step-by-step explanation:
multiply each by 3 equal full cup of milk and 3/4 of water
Answer the answer is 83
Step-by-step explanation:
Find the solution set for this inequality:
-4(3x-5)<2(3x+4)
Answers
Answer: x> 2/3
Step-by-step explanation:
Answer:
x > 2/3 OR (2/3, ∞ )
What is the solution of 34x+2x=44
Answers
Answer:
x=11/9 hope this helped <3
Step-by-step explanation:
Let's solve your equation step-by-step.
34x+2x=44
Step 1: Simplify both sides of the equation.
34x+2x=44
(34x+2x)=44(Combine Like Terms)
36x=44
36x=44
Step 2: Divide both sides by 36.
A scale factor of 3/4 applied to an object describes
1. an enlargement
2. a reduction
3. no change
4. a rotation
Answers
Answer:
a rotation
Step-by-step explanation:
please help me solve this!!
5x = 3y + 18
3x + 5y = 4
Answers
Answer:
Slope=
2.000
1.200
=0.600
x−intercept=
3
4
=1.33333
y−intercept=
−5
4
=−0.80000
thats the first one
Step-by-step explanation:
eliminating method:
1) move the 3y to the other side so it looks like the second equation.
5x - 3y = 18
3x + 5y = 4
2) multiply both of the equations by a number to make the equations eliminate one of the variables.
5(5x - 3y = 18) —> 25x - 15y = 90
3(3x + 5y = 4) —> 9x + 15y = 12
3) subtract the two equations (the y’s crossed out) and solve for x:
16x = 78
16x/16 = 78/16
x = 4.875 ≈ 4.9 ≈ 5
4) plug x into one of the two equations (preferably the easier one) to solve for y:
5(4.875) - 3y = 4
24.375 - 3y = 4
-3y = -20.375
-3y/3 = -20.375/-3
y = 6.791667 ≈ 6.8 ≈ 7
answers: x = 4.9 / y = 6.8
please help me with this.
Answers
Answer:
The answer is c
Step-by-step explanation:
The slope of the equation is
[tex] \frac{6 - 2}{7 - 9} = \frac{4}{ - 2 } = - 2 [/tex]
Let's take a point on the line (x, y)
[tex] \frac{y - 6}{x - 7} = - 2[/tex]
After solving this you can get
[tex]y - 6 = - 2(x - 7)[/tex]
That is the answer
Question 3
Which expression uses the greatest common factor to rewrite 18 + 6?
A
2 (9+3)
B
6 (3+B
С
9 (2) + 3 (2)
D
6 (3) + 2 (3)
Answers
Answer:
6( 3+1)
Step-by-step explanation:
18 + 6
Factor a 6 from each term
6*3 + 6*1
6( 3+1)
Write the expression as a simplified rational expression. Show your work.
(6x+2)/(1/x + 1/(2x+1))
Answer:
Answers
Answer:
4x^2 + 2xStep-by-step explanation:
(6x+2)/(1/x + 1/(2x+1))= 2(3x + 1)/((2x + 1 + x)/x(2x+1)) =2(3x + 1)x(2x+1)/(3x+1) = 2x(2x + 1) = 4x^2 + 2xAnswer:
4x^2 + 2x
Step-by-step explanation:
i just did this
(-9) - (-37) =
A -29
B -40
C 28
Answers
Answer:c: 28
Step-by-step explanation:
Write the given equation in STANDARD FORM (slope standard form)
y = 2x + 3/7
Answers
Answer:
7y=14x+3 is your answer
45 divided by 8827 please answer soon!!!
Answers
Earth is represented on a map of a portion of the solar system so that its surface is the circle with equation x2+y2+8x+2y−4883=0. A weather satellite circles 0.4 unit above Earth with the center of its circular orbit at the center of Earth. Find the general form of the equation for the orbit of the satellite on this map.
Answers
Answer:
The general form of the equation for the orbit of the satellite is [tex]x^{2}+y^{2}+8\cdot x+2\cdot y = 4939.16[/tex].
Step-by-step explanation:
From statement we have the general equation of the elliptic form of Earth. First we have to transform this formula to the standard form of the equation of the circle. That is:
1) [tex]x^{2}+y^{2}+8\cdot x +2\cdot y -4883=0[/tex] Given
2) [tex](x^{2}+8\cdot x)+(y^{2}+2\cdot y) = 4883[/tex] Associative, commutative and modulative properties/Compatibility with addition/Existence of additive inverse.
3) [tex](x^{2}+8\cdot x +16)+(y^{2}+2\cdot y+1)-17=4883[/tex] Associative, commutative and modulative properties/Compatibility with addition/Existence of additive inverse.
4) [tex](x+4)^{2}+(y+1)^{2} = 4900[/tex] Square perfect trinomial/Result
According the result, the center of Earth is [tex]C(x,y) = (4, 1)[/tex] and the square of the radius of Earth equals 4900. That is: [tex]r = 70[/tex]
If satellite circles 0.4 unit above Earth, then the equation of the orbit of the satellite is:
[tex](x+4)^{2}+(y+1)^{2}=70.4^{2}[/tex]
[tex](x+4)^{2}+(y+1)^{2} = 4956.16[/tex]
Now we transform this into its general form:
1) [tex](x+4)^{2}+(y+1)^{2} = 4956.16[/tex] Given
2) [tex]x^{2}+8\cdot x +16+y^{2}+2\cdot y+1 = 4956.16[/tex] Square perfect trinomial
3) [tex]x^{2}+y^{2}+8\cdot x+2\cdot y = 4939.16[/tex] Associative, commutative and modulative properties/Compatibility with addition/Existence of additive inverse/Result
The general form of the equation for the orbit of the satellite is [tex]x^{2}+y^{2}+8\cdot x+2\cdot y = 4939.16[/tex].
express 12 1/3 in simplest radical form
Answers
Answer:
37/3
Step-by-step explanation:
Convert mixed numbers to improper fraction :
Which of the following is not a way to represent the solution of the inequality?
7 - 9x - (x + 12) <= 25?
A: x => -3
B: x <= -3
C: -3 <= x
D: a number line with a closed circle on negative 3 and shading to the right
Answers
Answer:
B) x <= -3
Step-by-step explanation:
B is the only answer that shows x being less than -3.
all of the other answers show x being greater than -3.
-1/3(x-15)=-4 what is the correct sequence of operations
Answers
Answer:
x = 3
Step-by-step explanation:
The steps I show will be listed from first-to-last.
-1/3x + 5 = -4 (Distribute)
-1/3x = -9 (Subtract 5 from both sides)
x = 3 (Multiply both sides by -3)