Problem:



Solution:

$ \frac{1}{17}(-48 - 42\sqrt{2} + 7\sqrt{3} + 4\sqrt{6}) $

graph the piecewise

Problem:



Solution:

Quadratic

Problem:



Solution.

$ k = -4 $

$ f(2)  = 2 $

Fractions

Problem



As far as I can read, the problem is $ \frac{3}{5}x - 2 = \frac{1}{3} $.

Solution.

$ x = \frac{50}{9} $

Saving

Problem:




Solution:

165 + 15w

Solve!

Problem:



Solution:

$ x = 0 $ or $ x = 6 $

Solve this!

Problem:




Solution:

$ x = \frac{8}{5} $.

Mental Math

20

3x - 11 = 22

Answer: x = 11

Multiple Choice

Problem:



Solution:

$ \frac{1}{11 - x} $

2 x 5 x 100

Answer: 1,000

36^(3/2)

Problem



Solution:

 216

Solve equation again

Problem:




4x - 5 = (-3/2)x + 12

Solution:

$ x = \frac{34}{11} $

Solve equation

Problem:



Solution: 

$ d = \frac{-4}{11} $

$ 3x^2 + 5x + 2 = 0 $

Problem:

$ 3x^2 + 5x + 2 = 0 $

Solution:

$ x = -1 $ or $ x = \frac{-2}{3} $

Fraction subtraction

Problem

$ \frac{2}{3} - \frac{3}{5} $

Solution:

$ \frac{1}{15} $

Hyperbola

Problem:

 

Solution:

The curve is a hyperbola, this is a special case of this one where a and b are both 1

Divide!

Problem:



Solution:

13, with remainder 3

$ \frac{2x + 1}{x^2 - 8x + 16} + \frac{3x + 3}{2x^2 - 32} + \frac{12}{4-x} = 0 $

Problem:

$ \frac{2x + 1}{x^2 - 8x + 16} + \frac{3x + 3}{2x^2 - 32} + \frac{12}{4-x} = 0 $

Solution:

$ x = 5 $ or $ x = \frac{-76}{17} $

Temperature

Problem:

the temperature at noon was 20 degrees feirenheight. the temperature fell 2 degrees every hour until 3 a.m. the next day. What was the temperature at 11 p.m that evening

Solution:

-2

It is an negative integer

Protein

Problem:



Solution:

80 grams

Triangle

Problem

I am only given this diagram


Solution:

The area of the triangle is 99.
PN = $ \sqrt{445} $

Perimeter = $ 29 + \sqrt{445} $.

what is the value of x

Problem:

$  53= 4x - 8 $

Solution:

$ x = 15\frac{1}{4} $

-10 + z - 1 = 7z - 5

Problem:

-10 + z - 1 = 7z - 5

Solution:

z = -1

Find $ n $ where $ 10^3 = 10 \times 10^n $

Problem:

Find $ n $ where $ 10^3 = 10 \times 10^n $

Solution:

$ n = 2 $

$ -12 = 8 + \frac{f}{2} $

Problem:

$ -12 = 8 + \frac{f}{2} $

Solution:

$ f = -40 $

$ \sqrt{100} \div \sqrt{25} + 3^2 \cdot 2 - 14 $

Problem:

$ \sqrt{100} \div \sqrt{25} + 3^2 \cdot 2 - 14 $

Solution:

6

$ 3\frac{1}{5} \times -2\frac{2}{3} $

Problem:

$ 3\frac{1}{5} \times -2\frac{2}{3} $

Solution:

$ -8\frac{8}{15} $

4 x 4 x 4

Problem:

4 x 4 x 4

Solution:

64

More arith

Problem



I read it as (10/(1/5))

Solution:

50

Arithmetic again

Problem




As I read, it is 2(-5) = ?

Solution

$ 2 \times (-5) = -10 $

Arithmetic

Problem:

8 - 5(2) - 1

Solution:

-3

Sequence

Problem:

6, -12, 24, -48

Solution:

The name term is 96, every term is -2 times the previous one.

Division

Problem:



Solution:
 
16 with remainder 456

Loss

Problem:



Solution:

$425

Average

Problem:




Solution:

Total gas = 12
Total #car = 12

Average = 1 gallon

a + 3 = 10

a = 7

5t + 2 = 7

Problem:

5t + 2 = 7

Solution:

t = 1

Graph problem

Problem:



Solution:

y = 3/2 x + 1/2

When x = 13, y = 20

Problem:



I read it as

What is the interest earned on $500 invested for 7 years is an account that earn simple interest at a rate of 4% per year?

Solution:

500 x 7 x 0.04 = $140

$ 5\frac{3}{8} $

Problem:

$ 5\frac{3}{8} $

Solution:

It can be written as improper fraction $ \frac{43}{8} $ or in decimal 5.375

Find x

Problem:



Solution:

x = 31^o

Dilation

Problem



 Solution: