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3 years ago

A rational number is a number that can be written as a _of two integers

Mathematics

1 answer:

a_sh-v [17]3 years ago

8 0

By definition, rational numbers are ratios between integer numbers:

$\mathbb{Q} = \left\{\dfrac{a}{b}:\ a,b\in\mathbb{Z},\ b\neq 0\right\}$

So, you get every possible rational number by dividing two integer numbers.

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What is the equation of the quadratic graph with a focus of (3, 4) and a directrix of y = 8? (1 point)

Marta_Voda [28]

This question was already answered this is what the other person got.

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3 years ago

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Please help will mark brainliest.

olasank [31]

Answer:

(g)x divided by 12/4

Step-by-step explanation:

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3 years ago

Steven estimates how long his computer repairs will take. He discovers that ABC Tech and Tech Squad will charge the

katrin2010 [14]

You didn't include the costs of doing repairs at both computer repair firms. I fixed that for you.

ABC Tech ------- $20 service charge plus $15 per hour.

Tech squad ------- $30 service charge plus $10 per hour.

Answer:

Steven's estimate of the repair time is 2 hours.

Step-by-step explanation:

Now in this case, we were told that ABC Tech normally charges $20 service charge and $15 per hour of computer repair service. The second tech firm charges $30 service charge and $10 per hour for computer repair service. We are now simply required to find out or calculate the number of hours of computer repair service whereby the cost of doing repairs at both tech firms become equal.

Let us use "x" to represent that unknown number of hours. The equation needed to calculate this is:

20 + 15x = 30 + 10x

We then pair like terms

15x - 10x = 30 - 20

5x = 10

x = 10/5

x = 2

Therefore the number of hours of computer repair service whereby the cost of doing repairs at both tech firms become equal is 2 hours.

8 0

3 years ago

which of the following is a point slope equation of a line with the point (-6,2) and a slope of 1/2?

wariber [46]

Answer:

y - 2 = 1/2(x + 6)

General Formulas and Concepts:

Algebra I

Point-Slope Form: y - y₁ = m(x - x₁)

x₁ - x coordinate
y₁ - y coordinate
m - slope

Step-by-step explanation:

Step 1: Define

Identify

Point (-6, 2)

Slope m = 1/2

Step 2: Find

Substitute in variables [Point-Slope Form]: y - 2 = 1/2(x - -6)
Simplify: y - 2 = 1/2(x + 6)

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3 years ago

Jonah is going to the store to buy candles for his igloo. Small candles cost $3.50 and large candles cost $5.00. He needs to buy

Semmy [17]

Answer:

$x+y\geq 20$

$3.50x+5.00y\leq 80$

Step-by-step explanation:

Let x represent number of small candles and y represent number of large candles.

We have been given that Jonah needs to buy at least 20 candles. This means number of small and large candles should be greater than or equal to 20. We can represent this information in an inequality as:

$x+y\geq 20...(1)$

We are also told that small candles cost $3.50, so cost of x small candles would be $3.50x$ .

Since large candles cost $5.00, so cost of y large candles would be $5.00y$ .

We are told that Jonah cannot spend more than $80, this means cost of x small candles and y large candles should be less than or equal to $80. We can represent this information in an inequality as:

$3.50x+5.00y\geq 80$

Therefore, our required system of inequalities would be:

$x+y\geq 20$

$3.50x+5.00y\leq 80$

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3 years ago