I’m supposed to prove this identity but it’s not working for me

Answer:

81 cm³

Step-by-step explanation:

15 + 1.50 h = monthly cost

The slope is given by:

from the graph we notice that the line passes through the points (0,2) and (3,0), plugging this values into the equation above we have:

therefore the slope is m=-2/3.

The y intercept is the value of y when x=0; from the graph we conclude that b=2.

The equation of the line is:

We are given the following line equation:

We are asked to determine the x and y-intercepts of the line. To do that, we will convert the given equation into the following form:

Written in that form the value of "a" is the x-intercept and the value of "b" is the y-intercept. Therefore, we need to divide the given equation by 20 in order to get a 1 on the right side:

Simplifying we get:

Therefore, the y-intercept is 4 and the x-intercept is 5.

Let 'x' and 'y' be the cost of one rose bush and one bunch of ornamental grass.

Given that Castel paid $69 for 5 rose bushes and 8 bunches of grass,

Also, given that Sumalee paid $42 for 2 rose bushed and 8 bunches of grass,

Now that we have two equations and two variables. These can be solved using the Elimination Method.

Subtract equation (2) from (1) as follows,

Substitute this value in (1) and obtain the corresponding y-value,

So the simultaneous solution is obtained as,

Thus, the cost of one rose bush is $9 and the cost of one bunch of ornamental grass is $3.

Taxi fares start at $3.50 and go up to $0.80 for every mile traveled is an example of a linear equation. Then the correct option is A.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

Taxi fares start at $3.50 and go up to $0.80 for every mile traveled. This relationship is given by the linear equation.

the link between a ball's height after being kicked off the ground and its proximity to the kicker. This relationship is given by the quadratic equation.

The amount in a savings account earns 0.7% interest each month compounded. This relationship is given by the exponential equation.

A car's slowing down for a curve and then reaccelerating to its usual speed. Its links time and speed.  This relationship may be given by the linear equation.

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lim x → 0 (2/x - 2/|x|) does not exist.

We need to find lim x → 0 (2/x - 2/|x|)

lim x → 0 (2/x - 2/|x|) = lim x → 0 (2|x| - 2x / x |x|)

Consider the left hand limit.

lim x → 0^- [(2|x| - 2x) / x |x|]

As the x values approach 0  from the left, the function values decrease without bound.

i.e., the function approaches -∞

Consider the right hand limit.

lim x → 0^+ [(2|x| - 2x) / x |x|]

Consider a table to see the behavior of the function as x approaches 0 from the right.

   x             f(x)

  0.1            0

 0.01           0

 0.01           0

As the x values approach 0 from right, the function values approach 0.

Thus, the limit of  [(2|x| - 2x) / x |x|] as x approaches 0 from the right is 0.

Since the left sided and right sided limits are not equal, the limit does not exist.

Therefore,  lim x → 0 (2/x - 2/|x|) does not exist.

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the prime numbers smaller than 50 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47.

let's find the sums that give us 50:

3+47=50

7+43=50

13+37=50

19+31=50

so the answer is four different ways.

The constant of proportionality is 12

Number of fresh jars of honey stored by The Busy Bee in 3 hours= 36 jars

Number of fresh jars of honey stored by The Busy Bee in 7 hours= 84 jars

So, In 3 hours = 36 jars

In 1 hour = 36/3 = 12 jars

Similarly, In 7 hours = 84 jars

In 1 hour = 84/7 = 12 jars

So, 12 is the constant number

Let x represent the number of hours and y the total number of jars stored by The Busy Bee after x hours

So, the equation can be formulated as:

y = 12x

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Julieta has at most $1 worth of coins altogether, then the inequality of the given situation is $0.1p + $0.25n ≤ $1.00.

Based on the given conditions,

Julieta has p pennies and n nickels.

He has at most $1 worth of coins altogether.

Inequality, a statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

Since p time = $0.1

So n times = $(0.1)n

Since p quarter = $0.25

So n quarters = $(0.25)n

Total of p times and n quarters = $[(0.1)p + (0.25)n]

This total answer has a minimum of $1 worth of mins all to get he.

So,

$[(0.1p + 0.25n)] ≤ 1

Therefore,

Julieta has at most $1 worth of coins altogether, then the inequality of the given situation is $0.1p + $0.25n ≤ $1.00.

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Given the following:

a)

b) The critical value is -1.645

Also

c) Conclusion:

We fail to reject the test, since there is no enough evidence to conclude that the proportion of wrong tests is less than 10%

The  value of w is 10.8.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them. Variables are the name given to these symbols because they lack set values. We frequently observe constant change in specific values in our day-to-day situations. But the need to depict these shifting values is ongoing. These values are frequently represented in algebra by symbols such as x, y, z, p, or q, and these symbols are known as variables. In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

given:

w/3 + 14 = 17.6

Now, solving for w.

Subtract 14 from both side

w/3 + 14 - 14  = 17.6 - 14

w/3 = 3.6

Multiply by 3 both side

w/3 x3 = 3.6 x 3

w= 10.8

Hence, the value of w is 10.8.

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If the line is paralell to y = 5x + 7, it will have the same slope, which is 5

The general equation of a line is: y = mx + b

we know that the slope m = 5, and to find b we will use the point (3, -5)

using 3 for x and -5 for y:

y = mx + b

y = 5x + b

-5 = 5(3) + b

-5 = 15 + b

-5 - 15 = b

-20 = b

b = -20

Then the equation is: y = 5x - 20

Answer:

y = 5x - 20

Answer: 159,000

Step-by-step explanation:

The number after the nine (one) is under five, so you keep the number the same instead of rounding up :)

Answer:

-2.86, -0.37, 0.19, 0.91, 1.46

Step-by-step explanation:

the negatives will always be the least, hope this helps!

(5x + 12) = 18

Remove the parenthesis from the right hand side:

5x + 12 = 18

Subtract 12 from both sides:

5x + 12 - 12 = 18 - 12

5x = 6

Divide both sides by 5:

5x/5 = 6/5

x = 6/5 = 1.2

⚠ If you are in a rush, only read the bold.

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This system is impossible to solve because we have two uknown values (x,y) and only one equation.

The quadratic function is expressed as

f(x) = - x^2 + 10x - 22

The y intercept is the value of y or f(x) when x = 0

Thus, to find the y intercept, we would substitute x = 0 into the function. Thus, we have

f(0) = - 0^2 + 10 * 0 - 22

f(0) = 0 + 0 - 22

f(0) = - 22

Thus, the y intercept of the function f is (0, - 22)

A quadratic equation

Here, we want to get the type of equation that will fit the given plot

From what we have, the tracing of a line in the direction of the plotted lines will give us a parabola

The parabola represents the plot of a quadratic equation

Hence, the data will be best fit by a quadratic equation

Find the value of y if B is between A and C, AB= 2y, BC= 6y, and AC = 48

I'll draw to help you understand:

AB = 2y and BC = 6y, so AB+BC = AC

Also: 2y+6y = 48

8y = 48

y = 48/8

y = 6

Answer: Letter C

To make the table first replace the given values ​​of x in the equation, operate, and with it, you get their corresponding coordinates in y. Then you have

If x = -2

If x = -1

If x = 0

If x = 1

If x = 2

Finally, the table of the equation

and its corresponding graph will be

Therefore, the correct answer is option A.

The final score of the visiting team is 4 points and the home team's points is 3 points.

The home team only scores 3 points for every 4 points the visiting team scored in the basketball game.

By the end of the game, the home team was down by 1 point.

Let's say the visiting team scored 4 points and the home team scored 3 points. Hence, the home team is down by 1 point.

Now, if the visiting team scored again.

Then the score of visiting team: 8 points and the home team: 6 points.

Hence, the home team is down by 2 points.

As we go along, the point difference between the home team and the visiting team will only increase.

Therefore, the final score of the team will be:

Visiting team = 4 points

Home team = 3 points

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When two equation are parallel it means they have the same slope.

You have the equation:

You can identify the slope(m) as the number next to the x in equation that follow the next form:

Then, the equation parallel to the given equation has an slope of:

Now, if we have a point of the equation we can find the value of the b (y-intercept) in the slope - intercept form of a lineal equation:

The given point is ( -4 , 2)

You have the next values:

m= - 1/2

y= 2

x= -4

Then we substitute that values:

And clear the b:

Now, we get the value of the slope (m= - 1/2) and the y-intercept (b=0)

We can write the equation in slope - intercept form:

or:

Hence option A is the correct answer

SOLUTION

Given the question, the following are the solution steps to answer the question.

STEP 1: Write the given z-score

STEP 2: Draw the required region on a graph

STEP 3: Find the probability using the normal distribution tabele

-0.24 = -(0.20 + 0.04)

It can be seen from the table above that the Probability will be the circled portion on the table.

Hence,

Answer:

4

Step-by-step explanation:

Given expression:

[tex](3^{8} \cdot 2^{-5} \cdot 9^{0})^{-2} \cdot \left(\dfrac{2^{-2}}{3^{3}}\right)^{4} \cdot 3^{28}[/tex]

Any number to the power of zero is 1:

[tex]\implies (3^{8} \cdot 2^{-5} \cdot 1)^{-2} \cdot \left(\dfrac{2^{-2}}{3^{3}}\right)^{4} \cdot 3^{28}[/tex]

[tex]\implies (3^{8} \cdot 2^{-5})^{-2} \cdot \left(\dfrac{2^{-2}}{3^{3}}\right)^{4} \cdot 3^{28}[/tex]

[tex]\textsf{Apply the exponent rule} \quad (a^b \cdot c^d)^p=a^{bp}\cdot c^{dp}:[/tex]

[tex]\implies 3^{(8 \cdot -2)} \cdot 2^{(-5 \cdot -2)} \cdot \left(\dfrac{2^{-2}}{3^{3}}\right)^{4} \cdot 3^{28}[/tex]

[tex]\implies 3^{-16} \cdot 2^{10} \cdot \left(\dfrac{2^{-2}}{3^{3}}\right)^{4} \cdot 3^{28}[/tex]

[tex]\textsf{Apply the exponent rule} \quad \left(\dfrac{a}{b}\right)^c=\dfrac{a^c}{b^c}:[/tex]

[tex]\implies 3^{-16} \cdot 2^{10} \cdot \dfrac{\left(2^{-2}\right)^{4} }{\left(3^{3}\right)^{4} } \cdot 3^{28}[/tex]

[tex]\textsf{Apply the exponent rule} \quad (a^b)^c=a^{bc}:[/tex]

[tex]\implies 3^{-16} \cdot 2^{10} \cdot \dfrac{2^{(-2 \cdot 4)}}{3^{(3\cdot 4)}} \cdot 3^{28}[/tex]

[tex]\implies 3^{-16} \cdot 2^{10} \cdot \dfrac{2^{-8}}{3^{12}} \cdot 3^{28}[/tex]

[tex]\textsf{Apply the exponent rule} \quad \dfrac{1}{a^n}=a^{-n}[/tex]

[tex]\implies 3^{-16} \cdot 2^{10} \cdot 2^{-8} \cdot 3^{-12} \cdot 3^{28}[/tex]

Gather like terms:

[tex]\implies 2^{10} \cdot 2^{-8} \cdot3^{-16} \cdot 3^{-12} \cdot 3^{28}[/tex]

[tex]\textsf{Apply the exponent rule} \quad a^b \cdot a^c=a^{b+c}:[/tex]

[tex]\implies 2^{(10-8)}\cdot3^{(-16-12+28)}[/tex]

[tex]\implies 2^{2}\cdot3^{0}[/tex]

Any number to the power of zero is 1:

[tex]\implies 2^{2}\cdot 1[/tex]

[tex]\implies 2^2[/tex]

Therefore, the solution is:

[tex]\implies 2^2=2 \times 2=4[/tex]

As given by the question

(6)

There are given that the function:

Now,

For the even:

So,

From the function

So, the given function is not even.

Then,

For odd:

So, the given function is not odd.

Hence, the given function is neither odd nor even.

Given the function below,

Let us now factorize the denominator

First of all, let us factorize x out from the denominator.

Therefore, x is a factor of the denominator.

Let us now factorize the remainder

Let us substitute x = 1 into the function to confirm if it is a factor.

Therefore, (x - 1) is a factor.

Let us now divide the function by (x - 1)

Hence, the factors of the denominator are,

Therefore,

Now, looking at both the numerator and the denominator, we can observe that there is no common factor between the numerator and the denominator.

Hence, there is no removable discontinuity.

We have the function:

We then replace the values of b and c, that is:

From this expression, we have that the solution is 13.