James and John, working together, can paint a room in 5 hours. If Jude helps James and John paint the room, the three of them can paint the room in 4 hours. What amount of time (in hours) would it take James, working alone, to paint the room?*

The following is an equation fo curve if it passes through the point (-2,3) is  y=2 x^2-x-7.

What is Slope?

A graph is a set of vertices—points—and edges—the lines connecting those vertices in discrete mathematics. Graphs come in a variety of forms, including connected and disconnected graphs, bipartite graphs, weighted graphs, directed and undirected graphs, and simple graphs.

Slope of the carne at (x, y) is 4 x-1

Let the curve is: y=2 x^2-x-7

\($$\begin{gathered}\text { Slope: } \frac{d y}{d x}=\frac{d}{d x}\left[2 x^2-x-7\right] \\\frac{d y}{d x}=4 x-1\end{gathered}$$\)

And passes Iowa's the point (-2,3).

\($$\begin{aligned}& y=2 x^2-x-7 \\& 3=2(-2)^2-(-2)-7 \\& 3=8+2-7 \\& 3=10-7 \\& 3=3\end{aligned}$$\)

Satisfied.

y=2 x^2-x-7

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Answer:

148.5 ft²

Step-by-step explanation:

bottom area = (10(8.7)(0.5) = 43.5 ft²

side area = 3(10)(7)(0.5) = 105 ft²

43.5 + 105 = 148.5 ft²

Answer: 9,2

Step-by-step explanation:

a+c=11

a=11-c

22(11-c) + 15c = 228

242-22c + 15c = 228

-7c=-14

C = 2 (two children)

Remember how a + c = 11

a + 2 = 11

A= 9

9 adults, 2 children.

Answer:

87.5%

Step-by-step explanation:

.

..

...

....

......

......

....

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7 is 87.5 percent of 8.

Here, we have,

given that,

7 is what percent of 8

now, let,

x% of 8 is 7.

we know that,

of means multiply

now, we have,

x% of 8 is 7..

=> x% × 8 = 7.

=> x% = 7/8

=> x% = 0.875

=> x = 0.875 * 100

=> x = 87.5

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Answer:

28.33

(Ignore these words)

Answer:

x=2

Step-by-step explanation:

10 - (x + 3) = 5

To solve for x, we can start by simplifying the left side of the equation:

10 - (x + 3) = 5

10 - x - 3 = 5

7 - x = 5

Next, we can isolate x on one side of the equation by subtracting 7 from both sides:

7 - x = 5

7 - x - 7 = 5 - 7

-x = -2

Finally, we can solve for x by dividing both sides of the equation by -1:

-x = -2

x = 2

Therefore, the solution to the equation is x = 2.

Answer:

$6,000

Step-by-step explanation:

If her food costed $2500 and was 25%, then she had $10,000 to begin with. 3/5 of $10,000 is $6,000, so her rent costs $6,000.

Answer:

$6,000 on rent

Step-by-step explanation:

Find her weekly salary by dividing 2500 by 0.25

2500/0.25

= 10,000

Now, find how much she spent on rent by multiplying 10,000 by 3/5

10,000(3/5)

= 6,000

So, she spent $6,000 on rent

Answer:

the radius

Step-by-step explanation:

Answer:

radius

Step-by-step explanation:

The vertex of the given equation is (0,12) and (1, -10). The value of y-intercept will be -12.

Given equation :

y=(x−2)2−8

y = 2x - 4 - 8

= 2x - 12

The final equation is y = 2x - 12.

Compare this equation with slope and y-intercept formula :

y = mx+c

So that c = -12

The value of y-intercept according to the solution is -12.

To find the vertex. Let's assume x=0; Substitute in the equation

y = 2(0) -12

y = -12

The first vertex will be (0, -12)

If x = 1; y = 2(1) -12

y = -10

Then the second vertex will be (1, -10).

Hence, the vertex of the given equation is (0,12) and (1, -10). The value of y-intercept will be -12.

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Answer:

the first one (y=\(\frac{1}{3}\)x+3 and 3x-y=2)

Step-by-step explanation:

y=\(\frac{1}{3}\)x+3 is the red line, while 3x-y=2 is blue.

For red, the slope is 1/3 because the y value of the function only increases by one (between x values 0 and 3) while the x value increases by 3.  The y intercept is also 3.

Blue can also be rewritten as 3x-2=y.  From this, we can get a lot of information.  the y-intercept is 2, and the slope is 3.

Answer:

17x + 56 = 0

Step-by-step explanation:

add 2x and 15x

Answer:

65432wdfvh654

Step-by-step explanation:

Product

Height: 4 units

Width 2√/2

Explanation:

Start by sketching y = 6 - ². Then draw a rectangle beneath it. You will notice that the width is 2x and the height is 6 ². Area is given by length - times width, so the area function will be A=2x (6 - x²) = 12x - 2x³.

Now you differentiate to find the maximum.

A' = 12 - 6x²

Find critical numbers by setting A' to 0.

x = ± √/2

The derivative is negative at x = 2 and positive at x = 1, which justifies that the rectangle with width of √2 has maximal area.

The height will be y (√2) = 6 – (√2)²) = 4

5)

The two expressions are:

0.5 (0.5x + 1.5)

2 (0.5x + 1.5)

6)

The story for 8b + 4b - 2 is:

Anna bought 8 and bima bought 4 of the same items which cost $b and there was a discount of $2 together.

The equivalent expression of 8b + 4b - 2 is 12b - 2.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

5)

0.5x + 1.5

We can make an equivalent expression as,

0.25x + 0.75

Taking out a common factor.

0.5 (0.5x + 1.5)

And,

x + 3

Taking out 2 as a common factor.

2 (0.5x + 1.5)

6)

8b + 4b - 2

This can be written as a story,

Anna bought 8 and bima bought 4 of the same items which cost $b and there was a discount of $2 together.

8b + 4b - 2

= 12b - 2

Thus,

5)

0.5 (0.5x + 1.5)

2 (0.5x + 1.5)

6)

The story is given above and the equivalent expression is 12b - 2.

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Answer:

7854

Step-by-step explanation:

Answer: \(x=\frac{\log (3/5)}{\log 5}\)

Step-by-step explanation:

\(3=5^{x+1}\\\\\log_{5} 3=x+1\\\\x=\log_{5} 3-1\\\\x=\log_{5} 3-\log_{5} 5\\\\x=\log_{5} \left(\frac{3}{5} \right)\\\\x=\frac{\log (3/5)}{\log 5}\)

Okay, here we have this:

Considering the provided system, we are going to solve it using the elimination method, so we obtain the following:

Now we will add the equations to eliminate the y term:

Finally, let's replace in the first equation to find the value of x:

Finally we obtain that the unique solution for the system is the ordered pair: (6, -1).

Answer:

It should be 90

Step-by-step explanation:

Because 270 divided by 3 is 90

a) The 90% confidence interval for the proportion of adults that have blue eyes is given as follows: (0.087, 0.133).

b) As the interval does not contain 0.08, the belief that 8% of people have blue eyes is misguided.

A confidence interval of proportions has the bounds given by the rule presented as follows:

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which the variables used to calculated these bounds are listed as follows:

The confidence level is of 9%, hence the critical value z is the value of Z that has a p-value of \(\frac{1+0.9}{2} = 0.95\), so the critical value is z = 1.645.

The parameters for this problem are given as follows:

\(n = 500, \pi = \frac{55}{500} = 0.11\)

The lower bound of the interval is given as follows:

0.11 - 1.645 x sqrt(0.11 x 0.89/500) = 0.087.

The upper bound of the interval is given as follows:

0.11 + 1.645 x sqrt(0.11 x 0.89/500) = 0.133.

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Answer:

There is obviously only 1 10x10 square. If we start with a 9x9 square in the top left corner, we can move it down 1, across 1 and back up 1, so there are 4 possible 9x9 squares.

For 8x8 we can move down 1, then 2 and we can move across 1 or 2 so that's 9 possible 8x8 squares.

For 7x7 we can go down 3 and across 3, so that's 4x4=16 possible squares.

The pattern is now clear the total number if squares is 1+4+9+16+…+100.

There's a formula for this, which I had to look up, but any the sum of the first n squared is 1/6n(n+1)(2n+1)1/6n(n+1)(2n+1), so the total number of squares is 10x11x21/6=5x11x7=385.

Answer:

2.5

Step-by-step explanation:

the length has increased by 7.5/3 = 2.5.

so the scale factor is 2.5

The \(x\)-intercept is where the graph intersects the \(x\)-axis. So, there is an \(x\)-intercept at \((-4,0)\).

The \(y\)-intercept is where the graph intersects the \(y\)-axis. So, there is a \(y\)-intercept at \((0,-1)\).

The horizontal asymptote is what the graph approaches as \(x \to \pm \infty\). So, there is a horizontal asymptote with equation \(y=-2\).

The vertical asymptote is where the graph approaches \(\pm \infty\). So, there is a vertical asymptote with equation \(x=-5\).

Answer:

Image below.

Step-by-step explanation:

Answer:

y = (-2/3)x + 5

Step-by-step explanation:

To write the equation of a line, we need to find its slope and y-intercept using the given points.

The slope of a line passing through two points (x1, y1) and (x2, y2) is given by:slope = (y2 - y1) / (x2 - x1)

Using the points (-3,7) and (9,-1), we can find the slope as:slope = (-1 - 7) / (9 - (-3))

     = -8 / 12

     = -2/3

Now that we have the slope, we can use the point-slope form of the equation of a line to find the y-intercept. The point-slope form of the equation of a line passing through a point (x1, y1) with slope m is:y - y1 = m(x - x1)

Using the point (-3,7) and the slope we just found (-2/3), we get:y - 7 = (-2/3)(x - (-3))

Simplifying this equation, we get:y - 7 = (-2/3)x - 2

y = (-2/3)x + 5

Answer:

(X'U'Y) + (XUY')

Step-by-step explanation:

Starting with [Xn(X'nY)]', we can use De Morgan's laws to simplify the expression:

[Xn(X'nY)]' = (Xn)' + (X'nY)'

Recall that Xn represents the logical operator "and", while X' represents "not X". Using these definitions, we can expand the expression:

(Xn)' + (X'nY)' = (X'U'Y) + (XUY')

where U represents the logical operator "or".

Therefore, [Xn(X'nY)]' simplifies to (X'U'Y) + (XUY').

Answer:

$514 give or take.  I could be wrong so you might want some confirmation on my answer before putting it on your test or what ever you need it for because i'm only in Middle School.

Step-by-step explanation:

Answer:

(-3/2, -11/2)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define Systems

y = x - 4

y = 4x + 2

Step 2: Solve for x

Substitution

Step 3: Solve for y

Answer by Khan Academy:

x=−2

y=−6

​ Hope This Helped Everyone

Step-by-step explanation:

Answer:

Please find the answer in the explanation

Step-by-step explanation:

RULER

measurements taken by ruler can be limited due to absolute errors, zero error and uncertainties.

1.) If the end of the ruler is worn out giving rise to a zero error

2.) The calibration of the ruler may give rise to another systematic error if the makings are incorrect.

3.) If the object to be measured is not on the same level as graduated surface of the ruler, the angle at which the scale is viewed will affect the result. This is known as parallax error.

SCALE

Systematic error can occur in a scale when the scale is wrongly calibrated.

Also, reading a scale from different angles introduces a variable parallax error.

random uncertainty could be a parallax error caused by taking readings from different angles. This can be reduced by the use of a mirror behind the scale and viewing normally.