1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
diamong [38]
3 years ago
12

Given that y is directly proportional to x. If y = 30 and x= 5, write an equation that connects y with x.

Mathematics
1 answer:
alukav5142 [94]3 years ago
4 0

Answer: y = 6x

Step-by-step explanation:

Since this is a direct proportion, we will introduce the constant of proportionality here and this will be:

y = kx

Since y = 30 and x= 5,

30 = 5 × k

30 = 5k

k = 30/5

k = 6

Therefore, the equation that connects y to x will be:

y = kx

y = 6x

The equation that connects y to x is y = 6x.

You might be interested in
Which of the following statements best describes the effect of replacing the graph of y = f(x) with the graph of y = f(x) + 20?
Veronika [31]
The correct answer is the graph is shifted up by 20 units.

When a number is added to or subtracted from f(x), it translates the graph of f(x) either up or down or we can say it moves the graph of f(x) vertically up or down. Addition of a number moves it vertically up and subtraction moves it vertically down.

In this case 20 is being added to f(x), so this will shift the graph of f(x) 20 units up.
7 0
3 years ago
Plzz help me and don't give me a negative answer for points
LenaWriter [7]
1. No idea
2. Angle A
3. Line RT
4. NO, 4/2 = 2, 5/3 = Not 2
5.Asking someone else?
6. 6 ft.
7. 10.56, precisely
8. 90 degrees
9. 51 degrees
10. 24 ft.
4 0
3 years ago
10. The value of the 8th term is 78.
Yuri [45]

Answer: The answer is 88

Step-by-step explanation: It is recursive because you can add 78+10=88

5 0
3 years ago
Solve the following system of equations. What is one x-value of a solution?
gulaghasi [49]

Answer:

There is some mistake in the question, because the solutions are x = -1.445 and x = -34.555

Step-by-step explanation:

Given the functions:

f(x) = x² + 4x + 10

g(x) = -32x - 40

we want to find the points at which f(x) = g(x).

x² + 4x + 10 = -32x - 40

x² + 4x + 10 + 32x + 40 = 0

x² + 36x + 50 = 0

Using quadratic formula:

x = \frac{-b \pm \sqrt{b^2-4(a)(c)}}{2(a)}

x = \frac{-36 \pm \sqrt{36^2-4(1)(50)}}{2(1)}

x = \frac{-36 \pm 33.11}{2}

x_1 = \frac{-36 + 33.11}{2}

x_1 = -1.445

x_2 = \frac{-36 - 33.11}{2}

x_2 = -34.555

5 0
3 years ago
Math help!! This is really difficult​
Reptile [31]

Answer:

y = -3/2 x +13

Step-by-step explanation:

We want our line to be perpendicular to

y = 2/3 x -1

The slope of this line is 2/3   (since it is written in the form y = mx+b and m is the slope)

Perpendicular lines have negative reciprocal slopes

m = -(3/2)

The slope of our new line is -3/2

We can use point slope form of the equation

y-y1 - m (x-x1)

y - 7 = -3/2 (x-4)

Distribute

y-7 = -3/2x +6

Add 7 to each side

y-7+7 = -3/2 x +6+7

y = -3/2 x +13

4 0
3 years ago
Other questions:
  • AB←→ is perpendicular to CD←→. How many 90° angles are formed by the intersection?
    5·2 answers
  • The product of 7/8 and 9/10 is greater then 9/10
    15·2 answers
  • The median of a continuous random variable having distribution function F is that value m such that F(m) = 1/2 . That is, a rand
    8·1 answer
  • The deer population of a certain area is modeled by the formula: P=578e^0.045t where t is measured in years. In approximately ho
    8·1 answer
  • Translate the phrase into an algebraic expression. The product of 4 and y​
    11·1 answer
  • I need help with this please! ASAP<br> (PLEASE MULTIPLY AND SIMPLIFY COMPLETELY)
    9·2 answers
  • A group of friends wants to go to the amusement park. They have no more than $155 to spend on parking and admission. Parking is
    13·1 answer
  • An initial population if 1000 starfish double each year for 4 years. What is the population after 4 years?
    13·1 answer
  • put the following equation of a line into slope-intercept form, simplifying all fractions 16x - 4y = -20
    7·1 answer
  • Rewrite this expression in simplest form.<br> (40&amp;w)(-2003)2
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!