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malfutka [58]
4 years ago
6

The difference of two numbers is 5. The sum of three times the larger number and twice the smaller number is 30. What is the sma

ller number?
Mathematics
1 answer:
seraphim [82]4 years ago
5 0

Answer: 3

Step-by-step explanation:

Let the smaller number be y.

Since the difference of two numbers is 5,then the larger number will be: y+5

The sum of three times the larger number and twice the smaller number is 30. This can be written as:

3(y+5) + 2y = 30

3y + 15 + 2y = 30

5y + 15 = 30

5y = 30 - 15

5y = 15

y = 15/5

y = 3

The smaller number is 3

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What is the minimum point on a graph of f(x) = (x - 1)² - 3?
mariarad [96]

Answer:

(1, -3)

First option

Step-by-step explanation:

The minimum point on the graph is also the <u>vertex</u>.

The quadratic function equation is given in <u>vertex form</u>, which is f(x) = a(x - h)^{2} + k

Using this equation, the vertex is (-h, k).

Whatever number you see for "h", find its opposite negative/positive. That will be the x-coordinate of the vertex. The y-coordinate for the vertex is the same as "k", keeping the negative and positive.

In f(x) = (x - 1)² - 3 using (-h, k) is:

h = -1   =>   -h = 1

k = -3

Therefore the vertex is (1, -3).

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4 years ago
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Step-by-step explanation:

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2 years ago
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You could've got this by multiplying -5 and x together, which is -5x.
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Step-by-step explanation:

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