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3 years ago

Is ( - 1, 2) a solution of the system y > x and x + y > 0?

Mathematics

1 answer:

kow [346]3 years ago

8 0

Answer:

Yes, because (-1,2) is a solution to both inequalities

Step-by-step explanation:

2>-1 so the first inequality is correct

-1+2>0 so the second inequality is correct

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A glassblower can produce a set of simple glasses in about 2 h. When the glassblower works with an apprentice, the job takes abo

Snowcat [4.5K]

Answer:

6 hours.

Step-by-step explanation:

Let t represent the time taken by apprentice in hours to make a set of glasses when working alone.

Part of work completed by apprentice in one hour would be $\frac{1}{t}$ .

We have been given that a glassblower can produce a set of simple glasses in about 2 hours. So part of work completed by glassblower in one hour would be $\frac{1}{2}$ .

While working together, the job takes about 1.5 hours. So part of work completed by both in one hour would be $\frac{1}{1.5}$ .

Now we will equate sum of work competed by both in hour by work completed by both working together is one hour as:

$\frac{1}{t}+\frac{1}{2}=\frac{1}{1.5}$

$\frac{1}{t}\cdot 3t+\frac{1}{2}\cdot 3t=\frac{1}{1.5}\cdot 3t$

$3+\frac{3}{2}\cdot t=\frac{3t}{1.5}$

$3+1.5\cdot t=2t$

$3+1.5t-1.5t=2t-1.5t$

$3=0.5t$

$\frac{3}{0.5}=\frac{0.5t}{0.5}$

$6=t$

Therefore, it will take 6 hours for the apprentice to make a set of glasses when working alone.

7 0

3 years ago

Need help for this. Math Alg

Alexandra [31]

Answer:

y = 2x - 3

Step-by-step explanation:

Since the equation for the line y = 2x + 5 is already in slope-intercept form (y = mx + b), the slope (m) is 2. A parallel line will have the same slope. Now use point-slope formula to find an equation for the parallel line including point (3,3). Point-slope formula is:

(y – y₁) = m(x – x₁), where m is the slope (2) and (x₁, y₁) is the point the line passes through (3,3).

Therefore:

(y – 3) = 2 (x – 3)

y – 3 = 2x – 6

y – 3 + 3 = 2x – 6 + 3

y = 2x - 3

7 0

3 years ago

Consider this three-digit sequence: 943. Is the first digit the largest or the second digit the smallest, AND, is the third digi

Delicious77 [7]

<span>your question isn't very clear, but I'll try to answer

</span><span>943
</span>the first digit (9) is the largest, the second digit (4) is the 2nd largest, and the third digit (3) is the smallest.
the first digit is odd, the second is even, and the third is odd

8 0

3 years ago

Jillian was asked to translate the expression 9 n into words. She wrote "a number increased by nine. " Which best describes the

statuscvo [17]

A number increased by nine (n + 9) is the same as nine increased by a number (9 + n), the correct option is C.

<h3>What is the pharse in mathematics?</h3>

A mathematical phrase is a set of words or a combination of words and numbers that can be written as a mathematical expression.

Given

Jillian was asked to translate the expression 9 + n into words.

She wrote "a number increased by nine.

The expresion can be written into the two formate which is;

(n+9) and (9+n)