Student:
Functions
Student Activity Sheet 4; Exploring "Graphs"
Rental fee
$150
$100
odmen size6
$50
$0+
0
18
Carla's Cars-to-Go
L
200
Miles driven
100
300
Class:
Vince's Vans
Miles driven
50
100
150
200
250
300
Date
Rental fee
$22.50
$45.00
$67.50
$90.00
$112.50
$135.00
Student
nawol iswoll arb
Func
Stude
16. Which van rental company begins to charge you money as soon as you rent the va
(before you ever drive a single mile)? How do you know?
2016/3

Answer: It is not possible for f(x) = 5(2^x) to equal to 200.

Step-by-step explanation: I put it in a calculator. When x = 5.321, the output is approximately 199.871380105. But when x = 5.322, the output is about 200.009968414. This means that the output of exactly 200 is impossible.

The quadratic function only has a maximum at y = 2, and:

Here we have a quadratic function:

y = -x^2 - 4x - 2

Because the leading coefficient is negative, we know that the parabola opens downwards, then we only have one maximum which is at the vertex.

The x-value of the vertex is at:

x = -(-4)/(2*-1) = 4/-2 = -2

Evaluating in that x-value we will get the maximum:

y = -(-2)^2 - 4*-2 - 2 = -4 + 8 - 2 = 2

The maximum is y = 2.

Then:

The domain is the set of all real numbers like in all quadratics.

The range is the set y ≤ 2

And the function increases in (-∞, 2)

And decreases on (2, ∞).

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Answer:

If im correct it should be 1827

Step-by-step explanation:

I think i did this eqasion properly

The maturity value of a loan is the total amount you must repay, including the principal and any interest you incur.

The interest is calculated by:

I = Prt

Where P is the amount of the loan, r is the interest rate and t is the time of the loan.

We are given:

P = $3345

r = 10.5%

t = 87 days

Convert the interest rate to daily by dividing by 365 (assuming a calendar 365-day year):

Calculate the interest (we keep all the decimals in the calculator):

I = $3345 x 0.00028767 x 87

I = $83.72

The maturity value (final value) of the loan is:

FV = P + I = $3345 + $83.72

FV = $3428.72

First, rewrite both numbers as improper fractions.

Next, multiply both numbers. To do so, multiply the numerators and denominators sparatedly:

Since the factor 7 appears both in the numerator and the denominator, we can cancel it out:

Since 24 divided by 4 is 6, then:

Answer: y= 2x+10

Step-by-step explanation:
Slope Intercept form: y=mx+b
You want to find the equation in terms of y. So, therefore, isolate 2y
2y=20+4x
Divide both sides by 2
y=10+2x
|

|
|

v
y=2x+10

Regarding the Canadian coins, 1 toonies will be equal to 8 quarters.

From the information given, it was stated that 16 Canadian coins, 16 quarters is equal in value to 2 toonies.

Therefore, it's important to find the constant of proportionality. This will be:

y = kx

where y = quarter

k = constant

x = toonies

16 = 2k

k = 16/2

k = 8

The value next to 1 quarter will be:

y = kx

y = 1 × 8

y = 8

Therefore, the toonies will be equal to right quarters.

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Answer: If you are asking what 0.7/0.21 is, that is 3.3 repeating.

Answer:

3.33333333

or 3.33

To compare 7.123 and 7.213 you have to look at tenths place in each number. Given that 1 is less than 2, then 7.123 is less than 7.213, that is,

7.123 < 7.213

Part A: Solving for angle measure A

Part B: Finding Arc CE

Part C: Finding ang measure C

Part D: angle measure D

Part E: angle measure ABE

Answer: 0.09

Step-by-step explanation:

Applying the distribution property of equality, -3xy(2xy² - xy + y²) = -6x²y³ + 3x²y² - 3xy³.

The distribution property of equality is a property of equality which is used to pen up parentheses in a given polynomial operation.

For example, given that a(b + c), we can expand of remove the parentheses by using the term "a" to multiply every term within the parentheses, that is b and c. Thus, we would have:

a(b + c) = a(b) + a(c) [distribution property of equality]

a(b + c) = ab + ac.

Given the polynomial expression, -3xy(2xy² - xy + y²):

-3xy(2xy² - xy + y²)

-3xy(2xy²) -3xy(-xy) -3xy(y²) [distribution property of equality]

-6x²y³ + 3x²y² - 3xy³

Therefore, -3xy(2xy² - xy + y²) = -6x²y³ + 3x²y² - 3xy³.

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(a) The numerical expression that represents the position of the fish relative to sea level after it rises 8 feet is (14 - 8) feet.

(b) The position of the fish after it rises 8 feet relative to sea level is 6 feet below the sea level.

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The solution set for the obtained inequality is {.......-5, -4, -3, -2, -1, 0, 1, 2}.

Given that, twice a​ number, increased by ​three, is between negative one and nine.

The relation between two expressions that are not equal, employing a sign such as ≠ ‘not equal to’, > ‘greater than’, or < ‘less than’.

Let the unknown number be x.

Now, twice a​ number, increased by ​three = 2x+3

The given expression is between negative one and nine

-1 < 2x+3 < 9

-1 < 2x+3

Subtract 3 to both the side of the inequality

-1-3<2x+3-3

⇒ -4 < 2x

Divide 2 to both the side of the inequality

-2 < x

Now, 2x+3 < 9

Subtract 3 to both the side of the inequality

2x+3-3<9-3

⇒ 2x<6

Divide 2 to both the side of the inequality

x < 3

So, -2<x<3

Solution set = {.......-5, -4, -3, -2, -1, 0, 1, 2}

Therefore, the solution set for the obtained inequality is {.......-5, -4, -3, -2, -1, 0, 1, 2}.

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Answer:

Abdul and Diane brought 137 cans in all.

Step-by-step explanation:

Abdul brought 16 packs that had eight cans each so to find how many cans he brought in total you do:

16 × 8 = 128

Diane brought 9 cans.

To find what they brought in all add the two amounts together:

128 + 9 = 137

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The lower and upper bounds of w is 3 and 4.16

What is Upper bound and Lower bound?

An element of K that is bigger than or equal to every element of S is referred to as an upper bound or majorant of S in mathematics, specifically in order theory. In contrast, a lower bound or minorant of S is defined as an element of K that is smaller than or equal to every element of S. A set that has an upper (or lower) bound is said to be majorized[1] (or minorized, respectively) from above (or below) by that constraint.

Given that,

w =(x + y)/z

x = 2.5 ± 0.5,

y = 1.5 ± 0.5

and, z = 1.1 ± 0.1

Substituting the values in the equation to find upper bound

x = 3.0

y = 2.0

z = 1.2

Then,

w = (3 + 2)/1.2

w = 5/1.2

w = 4.16

Substituting the values in the equation to find lower bound

x = 2.0

y = 1.0

z = 1.0

Then,

w = (2 + 1)/1

w = 3/1

w = 3

Hence, The upper bound of w is 4.16

The lower bound of w is 3

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For the very first graph of the sinx function,

According to the coordinates obtained ,

The graph from the options which satisfied the sinx function are,

The graph of option A,C are satisfied the sin function .

Therefore the correct option is A , C.

Answer:

I think it is the first ones

Answer:

[tex]y=\boxed{-14.380}\;x^2+\boxed{299.970}\;x+\boxed{-950.851}[/tex]

$39

Step-by-step explanation:

Create 5 additional columns on the given table for x², x³, x⁴, xy, and x²y.

Calculate the values and add the sum of each column.

(See attachment 1).

Use the matrix equation for determining the parabolic curve, entering the sums from attachment 1:

[tex]\displaystyle a \sum x{_i}^4+b \sum x{_i}^3+c \sum x{_i}^2=\sum x{_i}^2y_i[/tex]

[tex]\implies 74446.015625a+6046.90625b+520.25c=248662.875[/tex]

[tex]\displaystyle a \sum x{_i}^3+b \sum x{_i}^2+c \sum x{_i}=\sum x{_i}y_i[/tex]

[tex]\implies 6046.90625a+520.25b+48.5c=22987.5[/tex]

[tex]\displaystyle a \sum x{_i}^2+b \sum x{_i}+c n_i=\sum y_i[/tex]

[tex]\implies 520.25a+48.5b+5c=2313[/tex]

Solve for a, b and c using a calculator:

Insert these values (rounding to 3 decimal places) into the quadratic formula [tex]y=ax^2+bx+c[/tex] :

[tex]\large\boxed{y=-14.380x^2+299.970x-950.851}[/tex]

To find the profit (y) for a selling price of 16.75, substitute x = 16.75 into the found quadratic equation:

[tex]\implies y=-14.380(16.75)^2+299.970(16.75)-950.851[/tex]

[tex]\implies y=39.157...[/tex]

Therefore, the profit is $39 to the nearest dollar.

Note: Attachment 2 is the two-variable regression analysis as calculated by an online graphing calculator, proving that the y-value is 39 (nearest whole number) when x=16.75.

The measure of the exterior angle equals the sum of the two remote interior angles

Explanation:

The measure of the exterior angle equals the sum of the two remote interior angles

then

I hope this helps you

The value of angle 4x of the triangle is found as 60 degrees.

For the given question,

The angle of the triangle are given as;

We know that the sum of the angles of the triangle is 180 degrees.

thus,

75 + 3x + 4x = 180

7x = 180 - 75

7x = 105

x = 15

the, 4x = 4×15 = 60

Thus, the value of angle 4x of the triangle is found as 60 degrees.

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Answer:

38 × 38 is larger than 37 × 37 by 75!

Answer:

x+6 ≤ 10

For this inequality 5.8 will not be a solution

Step-by-step explanation:

Plug in x = 5.8 into each inequality. All inequalities except x +  6 ≤ 10 are satisfied

x + 6 = 5.8 + 6 = 11.8 and this is greater than 10 so the inequality x + 6 ≤ 10 is not satisfied

The tail length of an alligator whose body length is 4.2 feet will be 3 feet.

Direct proportion or direct variation is the relation between two quantities where the ratio of the two is equal to a constant value. Mathematically, direct proportionality is represented by a straight line and it equation is of the form -

y = kx

k = y/x

where [k] is the constant

Given is an alligator's tail length [T] varies directly as its body length [B]. An alligator with a body length of 2.8 feet has a tail length of 2 feet.

We can write as -

tail length [T]  [tex]\alpha[/tex]  body length [B].

Therefore -

T/B = K    [Constant]

We can write -

T₁/B₁ = T₂/B₂

2/2.8 = T₂/4.2

T₂ = (2 x 4.2)/2.8

T₂ = 3 ft

Therefore, the tail length of an alligator whose body length is 4.2 feet will be 3 feet.

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Answers 1: = ⅔ y + 4

2. x - y = 8

3. numb.

4. x = ⅓ y + 1

5. x = 2y - 2

The unit rate of the given parts are :

1)  37.037 index cards

2) 25.64 index cards

An item's unit rate is its price for one of it. This is expressed as a ratio with a one as the denominator. For instance, if you covered 70 yards in 10 seconds, you covered 7 yards on average every second. Seven yards in one second and 70 yards in ten seconds are both ratios, but only one of them is a unit rate.

The denominator of a unit rate is always 1. Therefore, divide the denominator by the numerator so that the denominator equals one in order to determine the unit rate. The unit rate is 50km/5.5 hours = 9.09 km/hour, for instance, if 50km are traveled in 5.5 hours.

1 ) $4.05 for 150 index cards

Thus for $1 we will get = 37.037 index cards

2) $1.17 for 30 index cards

Thus for $1 we will get = 25.64 index cards

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Answer:  25%

Step-by-step explanation:

1/4 make the denominator 100

100/4 =25

times 25 by 1/4 = 25/100

Answer = 25%

The equation that represents the first step is (b) x/3 - 15 + 15 = -5 + 15

The equation is given as

x/3 - 15 = -5

In the above equation, we have:

The first step is to eliminate the constant terms from the variable terms

This is done by adding 15 to both sides of the equation

So, we have

x/3 - 15 + 15 = -5 + 15

Hence, the first step is (b) x/3 - 15 + 15 = -5 + 15

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