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2 years ago

Consider the equation y = 4.2x and the table below that represents this relationship.

Mathematics

2 answers:

Vadim26 [7]2 years ago

3 0

Answer:

$k=4.2$

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $k=\frac{y}{x}$ or $y=kx$

In this problem we have

$y=4.2x$

The constant of proportionality K is the same that the slope of the linear equation

The value of k is

$k=4.2$

abruzzese [7]2 years ago

3 0

Answer:

The answer is 4.2

Step-by-step explanation:

i did it on edge

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Which equation is y=6x^2+12-10 rewritten in vertex form

Andre45 [30]

The formula in order to obtain the vertex form of a quadratic equation is given as

y=a(x-h)^2+k where (h,k) is the vertex of the quadratic equation which is parabolic in shape and it is opening upward.

As given in the problem, y=6x^2+12x-10

Using the formula, we can transformed the quadratic equation y=6x^2+12x-10 into its vertex form:

y=6x^2+12x-10

y= (6x^2+12x)-10 (grouping)

y=6(x^2+2x)-10 (factoring Common terms per group)

y=6(x^2+2x+1)-10-6 (Completing the squares)

y=6(x+1)^2-16 (Factor and Simplify)

Hence, the vertex form of y=6x^2+12x-10 is y=6(x+1)^2-16

7 0

2 years ago

Exam Lesson Name: Fractions

hammer [34]

It would be c 15/22 as the answer

8 0

2 years ago

Bruce wants to make 50 ml of an alcohol solution with a 12% concentration. He has a 10% alcohol solution and a 15% alcohol solut

wel

(50 - x) is the amount of the 15% Alcohol solution to use. If you solve for x first.
0.10x + 0.15(50 – x) = 0.12(50)
0.10x - 0.15x + 7.5 = 6
-0.05x + 7.5 = 6
7.5 - 6 = 0.05x
1.5 = 0.05x
1.5/0.05 = x
30 mL = x

Then the 15% solution: 50 - 30 = 20 mL

7 0

2 years ago

Read 2 more answers

Complete the sentence. the roots of the equation x^2 - 8x - 48 = 0 are -4 and *blank*

prisoha [69]

Answer:

12 is the answer.

Step-by-step explanation:

The best way to get the roots of the equation is to factorize the equation but when the factors are not possible then we should apply the quadratic equations formula to get the value of x.

Now we will try to factorize

x² - 8x -48 = 0

Now we multiply coefficient of highest degree term and constant term

48×1 = 48 which may be factored in 12×4. 8×6, 24×2.

Now we will choose 12×4 out of three because the 12-4 = 8 which is the coefficient of x.

Now its simple.

x²-12x + 4x -48 = 0

x(x -12) + 4(x-12) = 0

(x +4)(x-12) = 0

Therefore roots are x + 4 = 0

x = -4

and x - 12 = 0

x = 12

So the answer is 12.

8 0

2 years ago

Read 2 more answers

Disney held a breakfast for parents and their children to eat with Mickey mouse. adult tickets cost $17.95 and children's ticket

RUDIKE [14]

Answer:

The number of children attending = 324

The number of adults attending = 176.

Step-by-step explanation:

Here, the total number of people attending = 500

Let us assume the umber of children attending the breakfast = m

So, the number of adults attending the breakfast = 500 - m

Cost of ticket for each children = $12.95

So, the cost of m children's tickets = m x ( Cost of 1 children ticket)

= m x ( $12.95) = 12.95 m .... (1)

Cost of ticket for each adult = $17.95

So, the cost of (500 -m) adults's tickets

= (500 - m) x ( Cost of 1 adult ticket) = (500 -m) x ( $17.95)

= 8,975 - 17.95 m .... (2)

Now, the total earnings from the total ticket sold = $7355

So, The earning from ( Adult's + children's tickets) = $7355

⇒ 12.95 m + 8,975 - 17.95 m = $7355

or, - 5 m = 7355 - 8975 = -1620

or, m = 1620/5 = 324

⇒ m =324

Hence the number of children attending = m = 324

The number of adults attending = 500 - m = 500 - 324 = 176.

7 0

2 years ago