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3 years ago

How can you solve a system of two equations or inequalities in which one is linear and one is quadratic?

Mathematics

1 answer:

stealth61 [152]3 years ago

5 0

Answer:

Solve the inequality as though it were an equation. The real solutions to the equation become boundary points for the solution to the inequality. Make the boundary points solid circles if the original inequality includes equality; otherwise, make the boundary points open circles.

Step-by-step explanation:

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Aliun [14]

Answer:

Step-by-step explanation:

10a² : 5a² = 10 : 5 = 2

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3 years ago

Isaac is making soft pretzel nuggets. His recipe says that, after he makes the dough, he should divide it into 8 equal pieces. T

Romashka-Z-Leto [24]

Answer:

The answer to your question is 192 pretzels

Step-by-step explanation:

Data

number of pieces = 8

length of each piece = 2 ft

length of each pretzel = 1 in

number of pretzels = x

Process

1.- Convert ft to in

1 ft --------------- 12 in

2 ft --------------- x

x = (2 x 12) / 1

x = 24 ft

2.- Divide the length of each piece by the length of each pretzel

24/1 = 24 pretzels per piece

3.- Multiply the number of pretzels per the number of pieces

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3 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

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Sunny_sXe [5.5K]

Answer:

y = -2 + 5. Step-by-step explanation: To find the equation of a line when you only have two points you need to use the slope formula

Step-by-step explanation:

6 0

3 years ago

A man invests $2000 in an account that pays 6.5% interest per year, compounded quarterly.

skelet666 [1.2K]

Answer:

The correct answer is a. $2275.28; b. 17.04 years

Step-by-step explanation:

Principal to be invested is $2000

Interest rate (r) per year is 6.5 quarterly.

Interest is calculated compoundly.

a. Time (t) for the investment is given to be 2 years.

Amount after two years is = Principal × $( 1+ \frac{r}{100n}) ^ {nt}$ where the value of n is 4.

⇒ A = 2000 × $( 1+ \frac{6.5}{400}) ^ {8}$

⇒ A = $2275.28.

b. Now the value of A is given to be triple the principal = $ (3 × 2000).

Therefore we need to find the value of t.

⇒ 3 × 2000 = 2000 × $( 1+ \frac{6.5}{400}) ^ {4t}$

⇒ ㏑ 3 = 4t × ㏑ ( 1.01625)

⇒ t = 17.04

Therefore it would take 17.04 years for the principal to triple.

5 0

3 years ago