MATHEMATICS COLLEGE

What is the range of the absolute value function shown in the graph?

Answers

Answer 1

Answer:

Answer:

Range : [-6, ∞)

Step-by-step explanation:

Domain of any function on a graph is represented by the x-values (input values).

Similarly, Range of function is represented by the y-values or output values of the function on a graph.

Therefore, domain of the given absolute function will be (-∞, ∞) Or set of all real numbers.

Range of the function → [-6, ∞) Or {y | y ≥ -6}

Related Questions

Find the y intercept of the straight line with the following equations y=7+3x

3y=6x+12

Answers

y = 7 + 3x

y = 3x + 7

y = mx + b, therefore the y-intercept is 7.

3y = 6x + 12

y = 2x + 4

y = mx + b, therefore the y-intercept is 4.

the production of a printer consists of the cost of raw material at 100 dollars the cost of overheads at 80$ and wages at 120$ if the cost of raw materials and overheads are increased by 11% and 20% respectively while wages are decreased by 15% find the percentage increase or decrease in the production cost of the printer

Answers

Answer:

The percentage increase in the production cost of the printer is 3%.

Step-by-step explanation:

We are given that the production of a printer consists of the cost of raw material at 100 dollars the cost of overheads at 80$ and wages at 120$.

Also, the cost of raw materials and overheads are increased by 11% and 20% respectively while wages are decreased by 15%.

Cost of raw material = $100

Cost of overheads = $80

Cost of wages = $120

So, the total cost of the printer = $100 + $80 + $120

= $300

Now, the increase in the cost of raw material = $100 + 11% of $100

= $\$100 + ((11)/(100) * \$100)$

= $100 + $11 = $111

The increase in the cost of overheads = $80 + 20% of $80

= $\$80 + ((20)/(100) * \$80)$

= $80 + $16 = $96

The decrease in the cost of wages = $120 - 15% of $120

= $\$120 - ((15)/(100) * \$120)$

= $120 - $18 = $102

So, the new cost of a printer = $111 + $96 + $102 = $309

Now, the percentage increase in the production cost of the printer is given by;

% increase = $\frac{\text{Net increase in the cost of printer}}{\text{Original cost of printer}} * 100$

= $(\$309- \$300)/(\$300) * 100$

= 3%

Hence, the percentage increase in the production cost of the printer is 3%.

A bank credit card charges interest at the rate of 24% per year, compounded monthly. If a senior in college charges $1,500 to pay for college expenses, and intends to pay it in one yewhat will he have to pay? (Round your answer to the nearest cent.)

$

Answers

Answer: 1902.36

Step-by-step explanation:

When interest is compounded monthly , the formula to find the accumulated amount is

$A=P(1+(r)/(12))^(12t)$ , where P = principal value , r = rate of interest , t = time.

As per given,

r= 24% = 0.24

P= $1500

t= 1 year

Put all value in formula , we get

$A= 1500(1+(0.24)/(12))^(12* 1)\n\n=1500(1+0.02)^(12)\n\n=1500(1.02)^(12)\n\n=1500(1.26824179456)\approx1902.36$

Hence, he need to pay $1902.36.

What is a rate in math?

Answers

Answer:

A rate is a ratio between two related quantities.

Step-by-step explanation:

Often, the rate has associated units. Often, the word "per" is used to separate the quantities of the ratio, as in "miles per hour" or "dollars per gallon". In this context, "per" means "divided by."

If the units of the quantities are the same, they cancel, and the rate is a "pure number" (a number with no units). A tax rate, for example, is some number of dollars per dollar, a pure number, often expressed as a percentage.

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Unit rates

A "unit rate" is a rate in which one of the quantities is 1 unit. Usually, that is the denominator quantity. A rate that is not a unit rate can be made to be a unit rate by carrying out the division of the numbers.

For example, 3 dollars for 2 pounds ($3/(2#)) is expressed as the unit rate $1.50 per pound.

Some years ago, grocery stores began putting unit rates on price tags so that prices could be compared more easily (at least some of the time). Sometimes the comparison is complicated by different units being used for similar products.

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Percentages

A percentage is the ratio of similar measurements, expressed with a denominator of 100. ("Cent" means "hundred" in "per cent.") The "/100" in the ratio is generally abbreviated as the symbol "%". Since the ratio is of quantities with similar units, it is a pure number.

Occasionally, you will find the idea of "percent" used to relate quantities that are measured differently. For example, a drug that has a concentration of x mg/(100 mL) may be specified as an x% solution.

The proportion of items of significantly different density may be specified either by weight or by volume. That is a mixture that is x% "by weight" may be y% "by volume" (x≠y). The choice of weight or volume will generally depend on the typical way an amount of the mixture is measured.

Answer:

Step-by-step explanation:

La tasa es un coeficiente que expresa la relación entre la cantidad y la frecuencia de un fenómeno o un grupo de números. Se utiliza para indicar la presencia de una situación que no puede ser medida en forma directa.

Four times the quotient of 3 and 4