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3 years ago

List all the factor pairs for the number 56

Mathematics

2 answers:

maks197457 [2]3 years ago

8 0

1, 2, 4, 7, 8, 14, 28, and 56

viktelen [127]3 years ago

7 0

1 x 56, 2 x 28,4 x 14, 7 x 8, 8 x 7, 14 x 4, 28 x 2, 56 x 1

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Consider the three functions: f(x) = (4)x g(x) = (4)–x h(x) = –(4)x Which statements are true about the domain and range of f(x)

galina1969 [7]

1. Functions of the form f(x)=ax+b, where a is non zero, are called "linear functions" and the graphs of them are inclined lines.

2. If a>0, the line is increasing, so it gets higher as we move x to the right

If a<0, the line is decreasing.

3. There is no x we are not allowed to plug in the function: so Domain = all Real numbers

4. Since the lines are either increasing or decreasing, f(x), represented by the y values, take all values from -∞ to +∞. So Range = all Real numbers.

f(x)=4x (increasing line, 4>0) ,
g(x)=-x+4, h(x)=-4x (decreasing lines, -1<0, -4<0)

all f, g, h have Domain AND Range : All real numbers

6 0

3 years ago

Read 2 more answers

What is the solution to the system of equations? Use the linear combination method.

Korolek [52]

1. {2x−3y=9
{3x+5y=4

2. {(2x−3y=9)×5
{(3x+5y=4)x3

3. {10x-15y=45
{9x+15y=12

4. (10x-15y=45) + (9x+15y=12)= (19x=57)

5. (19x=57)÷19

6. x=3

7. 2(3)-3y=9

8. 6-3y=9

9. -3y=9-6

10. (-3y=3)÷(-3)

11. y=-1

Answer: x=3 and y=-1

3 0

3 years ago

MATH WORD PROBLEM

Sloan [31]

cost of one regular admission ticket = $ 10

cost of one senior citizen ticket = $ 5

<h3><u>Solution:</u></h3>

Let "r" be the cost of one regular admission ticket

Let "s" be the cost of one senior citizen ticket

Given that,

<em><u>On day 1 you sold 30 Regular Admission tickets and 20 Senior Citizen tickets for a total of $400</u></em>

So we can frame a equation as:

30 Regular Admission tickets x cost of one regular admission ticket + 20 Senior Citizen tickets x cost of one senior citizen ticket = $ 400

$30 \times r + 20 \times s = 400$

30r + 20s = 400 ----- eqn 1

<em><u>Day two you sell 40 Regular Admission tickets and only 10 Senior Citizen tickets for a total of $450</u></em>

So we can frame a equation as:

40 Regular Admission tickets x cost of one regular admission ticket + 10 Senior Citizen tickets x cost of one senior citizen ticket = $ 450

$40 \times r + 10 \times s = 450$

40r + 10s = 450 ---- eqn 2

<em><u>Let us solve eqn 1 and eqn 2 to find values of "r" and "s"</u></em>

Multiply eqn 2 by 2

80r + 20s = 900 --- eqn 3

Subtract eqn 1 from eqn 3

80r + 20s = 900

30r + 20s = 400

(-) ---------------------

50r = 500

Substitute r = 10 in eqn 1

30r + 20s = 400

30(10) + 20s = 400

300 + 20s = 400

20s = 100

cost of one regular admission ticket = $ 10

cost of one senior citizen ticket = $ 5

4 0

4 years ago

Determine whether the following statement is true or false. Justify your answer.

riadik2000 [5.3K]

Answer:

B. The statement is false. This is true only if θ is an acute angle in a right triangle.

Step-by-step explanation:

Trigonometric ratio formula can only be applied to define the relationship between the angles of a right triangle and its side lengths.

Therefore, it is impossible to define or find the tan θ of "any triangle". It only applies to right angled triangles.

In the case of a right triangle, given a reference angle, θ, tan θ = side lenght opposite to θ ÷ side lenght adjacent to θ (tan θ = $\frac{opp}{adj}$ .

A right triangle has two acute angles and 1 right angle that which is 90°.

Therefore, we can conclude that:

"B. The statement is false. This is true only if θ is an acute angle in a right triangle."

3 0

3 years ago

Alice borrowed 16700 from the bank at a simple interest rate of 9% to purchase a used car.At the end of the loan,she had paid a

BigorU [14]

Answer:

Step-by-step explanation:

Alice borrowed 16700 from the bank at a simple interest rate of 9% to purchase a used car. It means that the interest is not compounded. Simple interest is usually expressed per annum. The formula for simple is

I = PRT/100

Where

I = interest

P = principal(amount borrowed from the bank)

R = 9% ( rate at which the interest is charged

T = number of years

At the end of the loan,she had paid a total of 24215. This means that the interest + the principal = 24215

Therefore,

The interest = 24215 - 16700 = 7515

Therefore

7517 = (16700 × 9 × t)/100

751700 = 150300t

T = 751700/150300

T = 5 years

Converting 5 years to months,

1 year 12 months

5 months = 12 × 5 = 60 months

4 0

4 years ago