What is the y-intercept of the graph of x - 8 = y-(-5)?

Answer:

Step-by-step explanation:

The perimeter is all the side lengths added together

In this case, the

perimeter = x + (x+4) + (x+6) = 3x + 10

The correct answer is the first choice

We have that f(x) exists described for all real values of x, except for \($x=x _0$\). \($\lim _{x \rightarrow x 0} f(x)$\)

The graph shows a rising trend when the derivative's sign is positive. In all cases where x > 0, the derivative's sign is positive.

A function is increasing, decreasing, or constant on an interval if the derivative is positive, negative, or zero on that interval.

It is possible to determine the slope of a tangent line to a curve at any time using a function's first derivative. The first derivative of a function provides us with a wealth of information about the function as a result of this definition. Obviously increasing if is positive. is decreasing if it is negative.

Remember that when we are taking the limit we are not evaluating the function in \($x_0$\), instead, we are evaluating the function in values really close to \($x_0$\) (values defined as \($\mathrm{xO}^{+}$\)and \($\mathrm{xO}^{-}$\), where the sign defines if we approach from above or bellow).

And because f(x) is defined in the values of x near \($x_0$\), we can conclude that the limit does exist if:

\($\lim _{x \rightarrow 0+} f(x)=\lim _{x \rightarrow 0-} f(x)$\)

if that does not happen, like in f(x) = 1 / x where \($x_0=0$\)

where the lower limit is negative and the upper limit is positive, we have that the limit does not converge.

The complete question is:

Suppose that a function f(x) is defined for all real values of x, except x = xo. Can anything be said about LaTeX: \displaystyle\lim\limits_{x\to x_0} f(x)lim x → x 0 f ( x )? Give reasons for your answer.

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Answer:

$ 650

Step-by-step explanation:

Plan 1: y=0.3x + 150

Plan 2: y=0.1x + 280

O.3x + 150 > 0.1x + 280

0.3x - 0.1x > 280-150

0.2x > 130

x > 130/0.2

x > 650

Answer:The rational root theorem states that if the leading coefficient is taken to be an and the constant coefficient is taken to be a0 the possible roots of the equation can be expressed as : Now, from the given options, the possible choices can be : A, B, C and E D can be there because after taking any pair the rational root can't be 3

Step-by-step explanation:

DeMorgan's law states that the negation of a conjunction is the disjunction of the negations. This law allows us to prove that the two propositions are logically equivalent.

DeMorgan's law states that the negation of a conjunction is the disjunction of the negations. This means that if we have a statement such as (r ∧ p) ∨ ¬p ∧ q, we can negate both sides to get ¬(r ∧ p) ∧ ¬(¬p ∧ q). We can then apply DeMorgan's law to the left side, which gives us (¬r ∨ ¬p) ∧ ¬(¬p ∧ q). This is the same as (¬r ∨ ¬p) ∧ (p ∨ ¬q). We can then apply the associative law to the right side, which gives us (¬r ∨ ¬p) ∧ (¬p ∨ q). Finally, by applying the distributive law, we get ( (r ∧ p) ∨ ¬p ) ∧ ( (r ∧ p) ∨ q ), which is logically equivalent to the original statement. Therefore, DeMorgan's law shows that the two propositions are logically equivalent.

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Answer:

the answer to the question is C I took the test/quiz

Answer: b = 5

Step-by-step explanation:

        The standard form of a quadradic equation is 0 = ax² + bx + c. To do this, we will move all values to one side of the equation.

        Given:

8x + 4 = -2x² + 3x + 1

        Subtract (8x + 4) from both sides of the equation:

0 = -2x² - 5x - 3

        Lastly, we are given that a = 2, so we will divide both sides of the equation by -1.

0 = -2x² - 5x - 3

0 = 2x² + 5x + 3

        We are asked to find the value of b.

0 = ax² + bx + c

0 = 2x² + 5x + 3   ➜   b = 5

Answer:

1. Ron paid 4 dollars on sales tax and 2. The total Ron paid was 28.99

Step-by-step explanation:

Answer:

Answer to Part A: To solve this we must first find out how much of a discount is there. First we must divide 49.99 by 2 which equals about 24.99. After that we minis the discount with the original price, which equals 25.00. Then we divide 25.00 by 8 which equals 3.12. So then the sales tax must be 3.12 dollars.

Answer to Part B- First do all the math from Part A, then just add 3.12 to the price of 25.00. Which equals 28.12 so the answer must be 28.12 Dollars.

Step-by-step explanation:

Answer to Part A: To solve this we must first find out how much of a discount is there. First we must divide 49.99 by 2 which equals about 24.99. After that we minis the discount with the original price, which equals 25.00. Then we divide 25.00 by 8 which equals 3.12. So then the sales tax must be 3.12 dollars.

Answer to Part B- First do all the math from Part A, then just add 3.12 to the price of 25.00. Which equals 28.12 so the answer must be 28.12 Dollars.

Answer:

17

Step-by-step explanation:

IQR = Q3 - Q1

1st Quartile: 13

3rd Quartile: 30

IQR = 30 - 13 = 17

Answer:

37,842,563,960,161

Step-by-step explanation:

The squared symbol means to multiply the same number twice,

so:

6,151,631 × 6,151,631 = 37,842,563,960,161

---------------------------------------------------------------------------------------------------------------

Have a great summer :)

Work done is  1,252,352, and when rounded to the nearest integer, the it becomes 1,252,352 N/m.

A tank in the shape of an inverted cone has a height of 6 meters and a base radius of 4 meters. The tank is full of water. The question asks for how much work is required to pump the water over the upper edge of the tank until the height of the water remaining in the tank is 2 meters. Round the answer to the nearest integer.

Note: the weight-density of water is 9800 nm3. The formula for the work done is given by;W= weight x height.Here, the weight density of water is 9800 N/m³. The weight of water to be pumped is then given by:Weight of water to be pumped = Volume of water x density of water.Volume of the water is given by the formula of the volume of the cone, i.e.,πr²h/3Where r = 4 m and h = 6 m. T

he volume of water, therefore, is:Volume of water = πr²h/3 = π x 4² x 6/3 m³ = 32π m³.The weight of the water is:Weight = Volume of water x density of water = 32π x 9800 N = 313088 N.From the problem, the water is to be pumped to a height of 6 m - 2 m = 4 m. Therefore, the work done is given by:W= weight x height= 313088 N x 4 m= 1,252,352 N/m.Work done is therefore 1,252,352, and when rounded to the nearest integer, the answer becomes 1,252,352 N/m.

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Associated terms:

The formula for Calculating the Surface Area of a Cube:

\(SA=6s^2\)

s = the side length

\(SA=6(4in)^2 = 54inches^2\)

Mary lou will have $20574.6 in her savings account when she is ready to enroll in college.

For given question,

Mary lou received $14,000, 7 years prior to her enrolling in college.

She invested the money at 5.5% compounded semiannually.

so the Principal(P) = $14000

Rate (R) = 5.5%

Period(t) = 7 years

First we find the rate of interest in decimal form.

5.5% = 5.5/100

5.5% = 0.055

so, r = 0.055

Using the formula for continuous compound interest,

\(\Rightarrow A = Pe^{rt}\\\\\Rightarrow A=14000\times e^{(0.055\times 7)}\)

⇒ A = 14000 × e^(0.385)

⇒ A = 14000 × 1.4696

⇒ A = $20574.6

This means, after 7 years she will have $20574.6 in her saving account.

Therefore, Mary lou will have $20574.6 in her savings account when she is ready to enroll in college.

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When graphing an exponential function, a T-chart is commonly used to determine the values. The correct answer is option A.

The T-chart employs positive real numbers since this is the most typical form of exponential function.

Exponential functions are utilized to represent processes that increase or decrease exponentially, as well as to model phenomena in many different disciplines, including science, economics, and engineering.

The exponential function can be represented by the following equation:

\(y=a^x\), where a is the base, x is the exponent, and y is the outcome.

When a is a positive number greater than one, the function is called exponential growth, while when a is a fraction between 0 and 1, the function is called exponential decay.

The T-chart is used to determine the values to use in the graph and connect the dots as required. Positive real numbers are used as the values in the T-chart in order to effectively graph the exponential function.

Therefore, the correct answer is option A.

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Answer:

Step-by-step explanation:

J is correct.. that function can never be less than 2

Answer:

The amount invested at an 8% rate would be $184

The amount invested at a 3% rate would be $69

Step-by-step explanation:

The amount invested at an 8% rate would be $184 because 2,300 x 0.08 (8% in a decimal form) x 1 (since it was after 1 year) would come to 184.

The amount invested at an 3% rate would be $69 because 2,300 x 0.03 (3% in a decimal form) x 1 (since it was after 1 year) would come to 69.

Answer:

A. Brian will need 1.75 (1 3/4) cups of flour

B. Brian will need 1 1/16 cups of sugar

Step-by-step explanation:

Brian wants to make it for 3 people, so everything must be divided by 4 since 12/4=3.

7/4=1.75

4 1/4 divided by 4=1 1/16

Answer:A is 21 cups of flour and B is 12 3/4 cups of sugar

Step-by-step explanation:

A is 21 because 7x3 is 21 and B because 4 1/4x3 equals 12 and 3/4 cups

Answer:

???

Step-by-step explanation:

Where's the image?

Answer:

\(Height = 8.660\ in\)

\(Width = 17.321\ in\)

Step-by-step explanation:

Given

\(Area= 150in^2\)

\(Side\ Margin = 1\ in\)

\(Top\ \&\ Bottom\ Margins = 2\ in\)

Required

Determine the smallest dimension to use

To answer this question, I'll make use of the attached figure as a point of reference.

The area of the printed matter is:

\(Area = Length * Width\)

\(A_1 = H * W\)

Substitute 150 for A1

\(150 = H * W\)

Make H the subject

\(H = \frac{150}{W}\)

The area of the full paper is:

\(Area = Length * Width\)

\(A_2 = (W + 2+2) * (H + 1 + 1)\)

\(A_2 = (W + 4) * (H + 2)\)

Substitute 150/W for H

\(A_2 = (W + 4) * (\frac{150}{W} + 2)\)

Open brackets

\(A_2 = W(\frac{150}{W} + 2) + 4(\frac{150}{W} + 2)\)

\(A_2 = 150 + 2W + \frac{600}{W} + 8\)

Collect Like Terms

\(A_2 =2W + \frac{600}{W} + 8+150\)

\(A_2 =2W + \frac{600}{W} + 158\)

Differentiate with respect to w and set the result to 0

\(A_2' = 2 - \frac{600}{W^2} + 0\)

\(A_2' = 2 - \frac{600}{W^2}\)

Set to 0

\(0 = 2 - \frac{600}{W^2}\)

Collect Like Terms

\(2 = \frac{600}{W^2}\)

Cross Multiply

\(2 * W^2 = 600\)

Make \(W^2\) the subject

\(W^2 = \frac{600}{2}\)

\(W^2 = 300\)

Take positive square root of both sides

\(W = 17.321\)

Recall that:

\(H = \frac{150}{W}\)

\(H = \frac{150}{17.321}\)

\(H = 8.660\)

Hence, the smallest dimension of the paper is:

\(Height = 8.660\ in\)

\(Width = 17.321\ in\)

Answer:

H=18

W=12

Step-by-step explanation:

The question says 1 inch margins on the sides AND the top. And THEN a 2 inch margin ONLY on the bottom.

First, solve for y,

A = xy

150 = xy

150/x = y

If the center dimensions is A and its it equals x*y, then plus the margins, the outer dimensions would just be x+(size of margins) for width and y+(size of margins) for height.

This gives us

Width: x + 2

Height: y + 3  

Putting height into terms of x: (Substitute y) = 3 + 150/x

Now, since the area of a rectangle is b*h, the equation is:

(x + 2)(3 + 150/x)

Simplify:

3x + 150 + 6 + 300/x

= 3x + 156 + 300/x

Next, we find the derivative of this and then solve for x.

= 3 - 300/x^2

Solving for x:

0 = 3 - 300/x^2

3 = 300/x^2

3x^2 = 300

x^2 = 100

x = 10

Now that we have x, we plug this into the different equations for height and base:

Base=(10) + 2 = 12

Height=3 + 150/(10) =3+15 = 18

Hope this helps!

They differ in step size, the number of terms, and the starting point. Skip counting by 4s has a smaller step size and more terms compared to skip counting by 8s.

When skip counting by 4s four times, we start at 4 and then add 4 repeatedly: 4, 8, 12, 16.

When skip counting by 8s two times, we start at 8 and then add 8 repeatedly: 8, 16.

Both skip-counting sequences have the number 8 in common, which represents a common multiple of 4 and 8.

However, there are differences between skip counting by 4s and skip counting by 8s.

1. Step size: When skip counting by 4s, the step size is 4. We add 4 to the previous number each time. On the other hand, when skip counting by 8s, the step size is 8. We add 8 to the previous number each time.

2. Number of terms: In skip counting by 4s, we have four terms (4, 8, 12, 16). In skip counting by 8s, we have two terms (8, 16).

3. Starting point: Skip counting by 4s starts at 4, while skip counting by 8s starts at 8.

In summary, skip counting by 4s and 8s are alike in that they both involve adding multiples of a number. They differ in step size, the number of terms, and the starting point. Skip counting by 4s has a smaller step size and more terms compared to skip counting by 8s.

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The calculated value of the average of x, y, and z  is (b) m + 7

From the question, we have the following averages that can be used in our computation:

Using the formulas of arithmetic mean and average, we have

x = (m + 9)/2

y = (2m + 15)/2

z = (3m + 18)/2

The average of x, y, and z  is then represented as

Average = [(m + 9)/2 + (2m + 15)/2 + (3m + 18)/2]/3

Evaluate

Average = m + 7

Hence, the average of x, y, and z  is (b) m + 7

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The correct logarithm form is: a. log5 125 = 3

Question is about finding the logarithm form of 5³ = 125 using the given options.

The correct logarithm form is:

a. log5 125 = 3

Here's the step-by-step explanation:

1. The exponential form is given as 5³= 125.
2. To convert it to logarithm form, you have to express it as log(base) (argument) = exponent.
3. In this case, the base is 5, the argument is 125, and the exponent is 3.
4. Therefore, the logarithm form is log5 125 = 3.

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Answer:

-5(-16)

=5x16

=80

Answer:

Range : 8

Q2: 9.5

Interquartile range is 2.5