All categories

3 years ago

What are the solutions to the equation x2 = 289?

1 answer:

3 0

Because this is a second degree equation you will have 2 solutions. When you take the square root of a number you have to account for both the positive and negative roots. Since the square root of 289 is 17 then your solutions are +17 and -17.

You might be interested in

Write the ratio as a fraction in simplest form. 5 meters : 20 meters

Alexus [3.1K]

Answer:

$\frac{1}{4}$

Step-by-step explanation:

Given the ratio

5 m : 20 m ← divide both parts by 5

= 1 : 4

= $\frac{1}{4}$ ← as a fraction in simplest form

3 0

2 years ago

Dustin bought a $2000 computer with a credit card.The minimum payment each month is $35.Each month 1% of the unpaid balance is a

yuradex [85]

2nd month: (2000 - 35) 1.01 = 1984.65

3rd month: (1984.65 - 35) 1.01 = 1969.15

4 0

2 years ago

Read 2 more answers

Given functions f and g, find f-g.

Eva8 [605]

Answer:

$-5x-5$

Step-by-step explanation:

original functions:

$f(x)=3x-8\\g(x)=8x-3$

Subtract the polynomials:

$f(x)-g(x) = (3x-8) - (8x-3)$

Distribute the negative sign:

$3x-8-8x+3$

Combine like terms:

$(3x-8x)+(-8+3)$

Add like terms:

$-5x-5$

5 0

1 year ago

I think I have the answer but can anyone help?

kodGreya [7K]

Answer:

d 21.94

Step-by-step explanation:

11.99×4.99+2.09+2.09+.78=21.94

8 0

3 years ago

The water level in a lake was monitored and was noted to have changed -2 1/3 inches in one year. The next year it was noted to h

Diano4ka-milaya [45]

Answer:

The total change in water level over the past 2 years is $\displaystyle -4 \frac{1}{6}$ .

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Fractions

Proper and Improper

Numbers

Least Common Multiple (LCM)

Step-by-step explanation:

Step 1: Define

Identify

Year 1 water change: $\displaystyle -2 \frac{1}{3}$

Year 2 water change: $\displaystyle -1 \frac{5}{6}$

Step 2: Find Total Water Change

[Set up] Add yearly water changes: $\displaystyle -2 \frac{1}{3} + -1 \frac{5}{6}$
[Fractions] Convert to improper: $\displaystyle \frac{-7}{3} - \frac{11}{6}$
[Fraction] Rewrite [LCM]: $\displaystyle \frac{-14}{6} - \frac{11}{6}$
[Order of Operations] Subtract: $\displaystyle \frac{-25}{6}$
[Fraction] Convert to proper: $\displaystyle -4 \frac{1}{6}$

5 0

2 years ago