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3 years ago

Which of the equations is proportional if y is a function of X?

Mathematics

1 answer:

Taya2010 [7]3 years ago

6 0

Answer:

y=4x

Step-by-step explanation:

it goes through 0,0 on my graph

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Translate this problem to an equation and solve. The product of 2 positive consecutive even integers is 48. What is the smaller

bonufazy [111]

Let x represent the first even integer: x = 2(k) → y = 2k
Let y represent the second even integer: y = 2(k + 1) → y = 2k + 2

x · y = 48
(2k) · (2k + 2) = 48
4k² + 4k - 48 = 0
4(k² + k - 12) = 0
4 (k + 3)(k - 2) = 0
k = -3, k = 2 (Note: POSITIVE integers so k = -3 is ruled out)

x = 2k → x = 2(2) → x = 4
y = 2(k + 1) → y = 2(2 + 1) → y = 2(3) → y = 6

The smaller number (x) is 4

8 0

4 years ago

NikAS [45]

So if triangle ABC is similiar to triangle DEC then we know that when two figures are similar, the ratios of the lengths of their corresponding sides are equal.So we can write:

AC/DC = BC/EC =AB/DE = k

BC= 9ft + 6ft = 15

BC/EC= k
15/6=k

Now that we know the k we can find the height of the tree that's equal to AB:

AB/DE= k
AB/4=15/6
6AB= 15 x 4
AB= 60/6 = 10

The height of the tree is 10ft

3 0

3 years ago

Give the y-interecept

Inessa05 [86]

Answer:

(0, 5)

Step-by-step explanation:

3x + y = 5

Plug x = 0

3*0 + y = 5

0 + y = 5

y = 5

y-intercept = (0, 5)

5 0

3 years ago

8 BASIC LEVEL 1. On weekends, a movie ticket costs $10.50. Form an inequality and solve it to find the maximum number of tickets

Brrunno [24]

Answer:

10.50x ≤ 205

The maximum number of tickets, x, would be 19.

Step-by-step explanation:

Given,

The cost of one ticket = $ 10.50,

The cost of x tickets = 10.50x dollars,

Since, the total cost can not exceed $ 205,

⇒ 10.50x ≤ 205

∵ 10.50 > 0 thus, when we multiply both sides by 1/10.50 the inequality sign will not change,

⇒ x ≤ $\frac{205}{10.50}$ ≈ 19.52

Hence, the maximum number of tickets would be 19.

6 0

3 years ago

Find the average rate of change of each function over the interval [0,3]. Match each representation with its respective average

satela [25.4K]

Remember that to determine the average rate of change over an interval, you can use the formula f(b) - f(a) / b - a. Remember that we have to find the average rate of change over the interval [0, 3].

(1) Given our table, we know that g(3) = 5, and and g(0) = - 13. Respectively b = 3, and a = 0. Let's substitute,

$5 - (- 13) / 3 - 0 \\= 5 + 13 / 3\\= 18 / 3 = 6$

The average rate of change of the table is hence 6.

(2) Here we are given that our function has an x-intercept of (3,0), and a y-intercept of (0,6). Therefore p(3) = 0, and p(0) = 6. And of course b = 3, and a = 0,

$0 - 6 / 3 - 0\\= - 6 / 3 = - 2$

The average rate of change of 'function p' is - 2.

(3) If you take a look at the graph, f(3) = 5, and f(0) = - 4. Let's substitute,

$5 - (-4) / 3 - 0\\= 5 + 4 / 3 = 9 / 3\\= 3$

Hence the average rate of change of the graph is 3.

(4) Knowing the equation we can solve for r(3) and r(0) by plugging in 3 and 0 for x. Let's do it,

r(3) = (3)² + 2(3) - 5 = 9 + 6 - 5 = 10,

r(0) = (0)² + 2(0) - 5 = - 5

Now let's substitute into the formula f(b) - f(a) / b - a,

$10 - (- 5) / 3 - 0\\= 10 + 5 / 3 = 15 / 3\\= 5$

The average rate of change of the equation is 5.

3 0

4 years ago