The function f is graphed below.
determine the intervals on which f is increasing and decreasing

Answer:

-19

Step-by-step explanation:

1/3 of 69=23

14/15 of 45=42

23-42=-19

Answer:

23 2/5

Step-by-step explanation:

69 1/3 - 45 14/15

= (69 - 45) + (1/3 - 14/15)

= 24 + 1 x 5/3 x 5 - 14/15

= 24 + 5/15 - 14/15

= 24 + 5 - 14/15

= 24 + -9/15

= 24 + -9 ÷ 3/15 ÷ 3

= 24 + -3/5

= 23 2/5

To calculate a fraction, it is almost the same as calculating a number normal to the power. The numerator and denominator of the fraction are multiplied as many times as possible indicated by its exponent, then:

    [tex]\boldsymbol{\sf{\left(\dfrac{1}{9}\right)^{2}=\dfrac{1\times1}{9\times9}=\cfrac{1}{81} }}[/tex]

Therefore the fraction 1/81 is already in reduced form, so it is no longer possible to simplify it.

The minimum and maximum data​ entries is the to arrive at the values as follows:

Given data

minimum equals 13​, maximum equals 94​, 6 classes

The class width

= ( maximum - minimum ) / 6

= ( 94 - 13 ) / 6

= 13.5

The class width is solved to be 13

Lower class​ limit

From the lowest 13,repeated addition of the class width gives the lower class limits as follows:

lower class​ limits = 13, 26, 39, 52, 65, 78, 91

Upper class limits

The upper class limit is gotten from the lower class limit by reducing one from the class width to get 13 - 1 = 12. This value is added to the lower class limits to get the upper class limits.

upper class limits = 25, 38, 51, 64, 77, 90, 94

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Answer:

can you add a picture of the triangle

Step-by-step explanation:

al-World Application0231651561065

In the graph, [tex]f(x)[/tex] is increasing in the interval (-7, -5).

What is a graph in mathematics?

A graph is a graphic that uses a line or a sequence of bars, dots, or other symbols to depict a connection between two variables, most typically sets of numbers. Whatever else is in your graph, you can't construct it without scales. A vertical scale and a horizontal scale are used in bar graphs.

From the given graph, it can be concluded that

[tex]f(x)[/tex] is increasing in the interval (-7, -5)

[tex]f(x)[/tex] is decreasing in the interval (2, 10)

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The strength ratio of each sports drink is 4:3.

Ratio can be defined as comparison of two or more similar quantities.

According to the given question Maria uses 2/3 cup of powdered mix for every 2 gallons of water.

Therefore the no. of cups of powdered mix per gallon in Maria's sports drink is

= (2/3)÷2

= (2/3)×(1/2)

= 2/6.

= 1/3 cups per gallon of sport drink.

In case of Franco the no. of cups of mix in his sport drink per gallon is

=(5/4)÷5

= 5/4×1/5

= 5/20

= 1/4 cups per gallon of sport drink.

∴ The strength of each sport drink is

= 1/3:1/4

= 12/3:12/4         ( LCM of 3,4 is 12 to remove the fractions)

= 4:3.

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By changing units from calories per minute to watts, we conclude that your power output is 1.11 Watts.

Power is the ratio between energy consumed and the time in which it was consumed.

Here we know that you consume 111 calories per mile, and you run a mile in 7 minutes, then your power is:

P = (111 cal)/(7 min) = 15.86 cal/min

Now, we know that:

1 watt = 14.33 cal/min

Then we can rewrite our power as:

P = 15.86 cal/min = (15.86/14.33) W = 1.11 W

Your power output is 1.11 watts.

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The polynomial which models the company's sales in thousands of dollars will be 4.4x² + 4x.

A monetary profit, particularly the distinction between the amount gained and the actual cost of purchasing, running, or creating anything.

The profit is given as,

Profit = Selling price - Cost price

Sales volume for an auto manufacturer may be calculated as 7.8x² + 3.2x + 3.5 and costs as 3.4x² - 0.8x + 3.5.

The net profit by subtracting cost from sales will be

Net profit = (7.8x² + 3.2x + 3.5) - (3.4x² - 0.8x + 3.5)

Net profit = 7.8x² + 3.2x + 3.5 - 3.4x² + 0.8x - 3.5

Net profit = 4.4x² + 4x

The polynomial which models the company's sales in thousands of dollars will be 4.4x² + 4x.

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Answer:

2

Step-by-step explanation:

look at where x = 1 on the graph and see that there is a point at (1,2)

Using proportions, it is found that their total monthly payment is of $2,887.37.

A proportion is a fraction of a total amount, and the measures can be related using a rule of three, which derives from proportional relationships.

Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures, involving operations such as division and multiplication, as they involve unit rates.

For this problem, the payments are given as follows:

Hence:

2165.62 + 0.0833 x 6478.5 + 0.0833 x 2186 = $2,887.37

Their total monthly payment is of $2,887.37.

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The change in temperature over the 10 hours using a mathematical operation, is 12℉.

A mathematical operation uses input values (variables, numbers, mathematical operators, and operands) to determine an output value.

Some of the mathematical operators include addition, subtraction, division, and multiplication.

For instance, we can subtract the temperature in New Crampton at 6 A.M. from the temperature at 4 P.M. to determine the temperature change.

The temperature at 6 A.M. in New Crampton = 64℉

The temperature at 4 P.M in the same city = 76℉

Change in temperature over 10 hours = 12℉ (76℉ - 64℉)

Thus, the change in temperature over the 10 hours using a mathematical operation, is 12℉.

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The solution of the equation P = A/(1 + rt) for r is r = (A/P - 1)/t

The equation is given as

P = A/(1 + rt)

Multiply both sides of the equation by (1 + rt)

So, we have

P(1 + rt) - A

Divide both sides by P

So, we have

1 + rt = A/P

Subtract 1 from both sides

rt = A/P - 1

Divide by t

r = (A/P - 1)/t

Hence, the solution of the equation P = A/(1 + rt) for r is r = (A/P - 1)/t

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Answer:

It should be negative quantity 25 times x raised to the tenth power end quantity over y raised to the sixth power

Step-by-step explanation:

The other options have operations that don't match with the answer so it can't be them

The value of the unknown number b is 1/4.

Substitution is putting a specific value in a given variable.

According to the given question Six more than the product of a number and 4 is equal to 7 and we have to use b for the unknown number.

7 is 6 more than the product of 4 and b which can be numerically expressed as

7 = 6 + 4b...(i)

7 - 6 = 4b.

1 = 4b.

b = 1/4.

To check if it is correct or not we will substitute the numerical value of b.

in eqn (i).

7 = 6 + 4b

7 = 6 + 4×1/4

7 = 6 + 1

7 = 7.

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Answer:

x = 6

Step-by-step explanation:

5 - 4x = -19

-5          -5

-4x = -24

divide both sides by -4

x = 6

to check your work- plug in 6 for x.

Hope this helps!

Also- I am not entirely sure what inverse operations is in terms of algebra but I hope what I did is right!

The two equations that represent the remaining angle relationships are

x = 2(y + z) - 20 and x = 3z - 20

From the question, we are to determine the two equations that represent the remaining angle relationships

From the given information, we have that

x is the largest angle, y is the next largest angle and z is the smallest angle

Also, from the information,

"The measure of the largest angle is 20 degrees less than twice the sum of the measure of the other two angles"

That is,

x = 2(y + z) - 20

and

"The largest angle is 3 times the smaller angle minus 20 degrees"

x = 3z - 20

Hence, the two equations that represent the remaining angle relationships are x = 2(y + z) - 20 and x = 3z - 20

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Answer:

30

Step-by-step explanation:

Add 13 served to 17 left over to get how many muffins she originally baked.

Answer:

30

Step-by-step explanation:

served muffins=13

left muffins=17

13+17=30

Answer:

21 because if you can add like terms

End behavior of the polynomials f(x) = 2x² + 3x + x² - 1 and  f(x) = 1 - 3x + x² is; As x gets larger and larger in the positive direction, f(x) gets more positive. As x gets larger and larger in the negative direction, f(x) gets more positive.

A) We are given the polynomial; f(x) = 2x² + 3x + x² - 1

This is a second degree polynomial with a positive leading coefficient. Thus, the end behavior is; As x gets larger and larger in the positive direction, f(x) gets more positive. As x gets larger and larger in the negative direction, f(x) gets more positive.

B) We are given the polynomial; f(x) = 1 - 3x + x²

This is a second degree polynomial with a positive leading coefficient. Thus, the end behavior is; As x gets larger and larger in the positive direction, f(x) gets more positive. As x gets larger and larger in the negative direction, f(x) gets more positive.

C)  We are given the polynomial; f(x) = 9 + x¹

This is a first degree polynomial with a positive leading coefficient. Thus, the end behavior is;  As x gets larger and larger in either the positive or negative direction, f(x) gets larger and larger in the negative direction.

D)  f(x) = 2x + 5

This is a first degree polynomial with a positive leading coefficient. Thus, the end behavior is;  As x gets larger and larger in either the positive or negative direction, f(x) gets larger and larger in the negative direction.

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Answer:

you need to show the options at the bottoma

Step-by-step explanation en:

The overall percent increase in the stadium capacity between 1920 and 2000 considering the capacity was "x" in 1920 and "y" in 2000 is [tex][\frac{(y-x)}{x}*100][/tex].

As per the question statement, we are required to calculate the overall percent increase in the stadium capacity between the time period of 1920 and 2000. But no data about the stadium capacity is mentioned in the question statement. Hence, we will assume the capacity was "x" in 1920 and "y" in 2000. Assigning two variables to solve the question produces a generalized form of our required answer, in which, we can substitute any data to get the desired output.

Since Percentage change is calculated as

[{(Change from original)/(Original Value)}*100],

Our change in seating capacity of the stadium in 2000 from the year 1920 is [tex](y-x)[/tex] and original value being "x",

Overall percent increase in the stadium capacity between 1920 and 2000 is [tex][\frac{(y-x)}{x}*100][/tex].

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Value of x is 6.2 cm when x is the radius of cone.

What is Volume of cone?

The amount of space occupied by a cone is referred to as the volume of a cone. The volume of the cone depends on the base radius of the cone and the height of the cone. It can also be expressed in terms of its slant height wherever necessary.

Volume of cone formula, V= 1/3*[tex]\pi[/tex]*r∧2*h

given,

Height h= 2x

radius = x

Volume V= 500cm3

V= 1/3*[tex]\pi[/tex]*r∧2*h

500 = 1/3 *22/7*x2*2x

x∧3 = 5*3*5*5*2*2*7/11*4

x∧3 = 5*3*5*5*7/11

x = ∛(5*3*5*5*7/11)

x = 5(∛21/11)

x = 6.2 cm

Therefore, the radius of the cone x is 6.2 cm

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Answer:2,440,000,000

Step-by-step explanation:

The graph of the cost function is

Cost function refers to the functional relationship between cost and output. It studies the behavior of cost at different levels of output when technology is assumed to be constant.

Given: There are two companies Cronus and Zeus. Cronus charges a flat rate of $8 per GB of data. Zeus charges $3 per GB of data in addition to a monthly $10 fee that everyone pays. You expect to use between 0 GB and 8 GB of data each month.

Let y be the cost for data consumed.

Let x be Gb of data consumed.

Cost function of Cronus is y = 8x

Cost function of Zeus is y = 10+3x

Graph of both the companies is

where green line denotes the graph for Cronus and red line denotes the graph for Zeus.

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In the graph the Inefficient point of production is represented by the point A  , option(a)Point A is correct .

The graph given in the question is for Skateboards vs Bikers.

we need to find the point which represents the Inefficient point of Production.

The points in the Production Possibility Curve are said to be inefficient when the resources are not utilized to the fullest.

The given Production possibility curve between the Skateboards and the Bikers have Point A as the Inefficient Point .

Therefore , the point A represents the Inefficient point of production in the given Production possibility curve , the correct option is (a)Point A.

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