Francine rolls two 6-sided number cubes. What is the probability that she rolls
a sum equal to 6? Use the diagram of the sample space to help you.

Answer:

The slope of parallel line m = -7 is an integer

Step-by-step explanation:

Explanation:-

Given that the parallel line

                     -7x-y = 2

we know that the slope of the two parallel lines are equal

m₁ = m₂

The given parallel line equation

                           - 7 x - y = 2

The slope-intercept form

                             y = - 7x -2

comparing

                             y = mx +C

slope of parallel line m = -7 is an integer

y- Intercept  c = -2

Answer:

We conclude that:

Step-by-step explanation:

Given

h(a) = a² - 5

g(a) = -4x

To determine

(hog)(2)

Using the formula

(hog)(2) = h(g(2))

First determining the g(2)

substitute x = 2 in g(a) = -4x

g(a) = -4x

g(2) = -4(2) = -8

so

(hog)(2) = h(g(2)) = h(-8)

now determining the h(-8)

substitute x = -8 in h(a) = a² - 5

h(a) = a² - 5

h(-8) = (-8)² - 5

h(-8) = 64 - 5

h(-8) = 59

so

(hog)(2) = h(g(2)) = h(-8) = 59

Therefore, we conclude that:

Answer:

-3.3 (Choice 3)

Answer:

-3.3

Step-by-step explanation:

1/2=0.5 so 3+0.5=3.5

4.5-3.5=1 Brackets comes first because BIDMAS

-2.3-1= -3.3

Answer:

740,000

Step-by-step explanation:

500,000/100 = 5,000 ×3= 15,000

15,000×16= 240,000 increase in population

500,000+240,000= 740000

Answer:260,000

Step-by-step explanation:

500,000÷3 equal 15,000 that means it’s going every year by 15,000 times that by 16 equals 260,000

Answer:

930m

Step-by-step explanation:

It says they were 900 feet in the air below him is the ocean so thats 900 meters away from him and the shark is 30 feat below the surface of the ocean so you would do 900+30=930m so the shark is 930m away from him

Part (a)

She replaced x with -x to go from f(x) = 3(2)^x to g(x) = 3(2)^(-x). This will not reflect the graph of f(x) over the x axis. Instead, it will reflect over the y axis. This is because each input is negated from positive to negative, or vice versa. For instance the old input x = 2 becomes the new input -2. Applying this idea to every x input will mirror the curve over the vertical y axis.

==============================================

Part (b)

The correct equation should be g(x) = -3(2)^x

The negative out front is the same as -1.

We can think of it as g(x) = -1*f(x). The f(x) is the output value, or y value. If we multiply each y output by -1, this will flip every point over the horizontal x axis. A point like (0,3) moves to (0,-3) after doing this operation.

Answer:   [tex]2(\dfrac{1-e}{\pi})[/tex] or StartFraction 2 (1 minus e) Over pi EndFraction

Step-by-step explanation:

The average rate of function f(x) over the interval [a,b] is given by:-

[tex]\dfrac{f(b)-f(a)}{b-a}[/tex]

Given  : [tex]f(x)=e^{\sin x}[/tex]

The average rate of change over [tex][\dfrac{\pi}{2},\pi][/tex] will be:

[tex]\dfrac{f(\pi)-f(\dfrac{\pi}{2})}{\pi-\dfrac{\pi}{2}}=\dfrac{e^{\sin \pi}-e^{\sin \dfrac{\pi}{2}}}{\dfrac{\pi}{2}}\\\\=\dfrac{e^0-e^1}{ \dfrac{\pi}{2}}\\\\=2(\dfrac{1-e}{\pi})[/tex]

Hence, the average rate of change over [tex][\dfrac{\pi}{2},\pi][/tex]  is [tex]2(\dfrac{1-e}{\pi})[/tex].

Answer:

2 (1 minus e) Over pi

Step-by-step explanation:

edge 2023

Answer:

its c i just did it

Step-by-step explanation:

Answer:

Difference = 5 meters

Step-by-step explanation:

Given that:

Length of shadow of building = 20 meter

Height of woman = 1.8 meters

Shadow length of woman = 2.4 meters

Height of building = x

Ratio of building's height to shadow = x : 20

Ratio of woman's height to shadow = 1.8 : 2.4

x : 20 :: 1.8 : 2.4

Product of mean = Product of extreme

20 * 1.8 = 2.4x

2.4x = 36

Dividing both sides by 2.4

[tex]\frac{2.4x}{2.4}=\frac{36}{2.4}\\x=15[/tex]

Difference in height and shadow = 20 - 15 = 5 meters

Hence,

Difference = 5 meters

Answer:

2 loops

Step-by-step explanation:

If Tessa wants to run a total of 3.1 miles, then she has to complete 2 loops.

Division means the separation of something into different parts, sharing of something among different people, places, etc.

Tessa is training for her town's annual fun run.

Today, she plans to run along a 1.55-mile loop trail in a nearby park.

If Tessa wants to run a total of 3.1 miles.

Then the number of the loop will be

[tex]\rightarrow \dfrac{3.1}{1.55}\\\\\rightarrow 2[/tex]

Then the total number of the loops is 2.

More about the division link is given below.

https://brainly.com/question/369266

#SPJ2

Answer:

1) The factorized form of the polynomial is [tex](x-5)\cdot (x+2) = 0[/tex].

2) The factorized form of the polynomial is [tex](x+6)\cdot (x-4) = 0[/tex].

3)  [tex]r_{1} = -3[/tex], [tex]r_{2} = -2[/tex]. (Option D)

4) [tex]r_{1} = -7[/tex], [tex]r_{2} = 5[/tex]. (Option A)

Step-by-step explanation:

All exercise are case of factorization of second grade polynomials of the form [tex]x^{2} +(-r_{1} - r_{2})\cdot x + r_{1}\cdot r_{2}[/tex], where [tex]r_{1}[/tex] and [tex]r_{2}[/tex] are the two roots of the polynomial. Now we proceed to solve each polynomial:

1) [tex]x^{2}-3\cdot x-10 = 0[/tex]

In this case, the coefficients have the following characteristics:

[tex]-r_{1}-r_{2} = -3[/tex]

[tex]r_{1}\cdot r_{2} = -10[/tex]

The solution of this system of nonlinear equations is: [tex]r_{1} = 5[/tex], [tex]r_{2} = -2[/tex].

Then, the factorized form of the polynomial is:

[tex](x-5)\cdot (x+2) = 0[/tex]

2) [tex]x^{2}+2\cdot x -24 = 0[/tex]

In this case, the coefficients have the following characteristics:

[tex]-r_{1}-r_{2} = 2[/tex]

[tex]r_{1}\cdot r_{2} = -24[/tex]

The solution of this system of nonlinear equations is: [tex]r_{1} = -6[/tex], [tex]r_{2} = 4[/tex].

Then, the factorized form of the polynomial is:

[tex](x+6)\cdot (x-4) = 0[/tex]

3) [tex]x^{2} + 5\cdot x +6 = 0[/tex]

In this case, the coefficients have the following characteristics:

[tex]-r_{1}-r_{2} = 5[/tex]

[tex]r_{1}\cdot r_{2} = 6[/tex]

The solution of this system of nonlinear equations is: [tex]r_{1} = -3[/tex], [tex]r_{2} = -2[/tex].

Hence, the correct answer is D.

4) [tex]x^{2}+2\cdot x -35 = 0[/tex]

In this case, the coefficients have the following characteristics:

[tex]-r_{1}-r_{2} = 2[/tex]

[tex]r_{1}\cdot r_{2} = -35[/tex]

The solution of this system of nonlinear equations is: [tex]r_{1} = -7[/tex], [tex]r_{2} = 5[/tex].

Hence, the correct answer is A.

Answer:

384 sq ft.

Step-by-step explanation:

Given:

L = 12 ft

W = 9 ft

H = 4 ft

Required:

Surface area of the rectangular prism

SOLUTION:

Surface Area of rectangular prism = 2(LW + LH + WH)

SA = 2(12*9 + 12*4 + 9*4)

SA = 2(108 + 48 + 36)

SA = 2(192)

SA = 384 ft²

distribute the 4:

4x-36=-48x

subtract 4x

-36=-52x

divide by -52

x=1/2

The line has a positive slope. Let's look at all the slopes:

1) -3

2) -3

3) 3

4)3

Which ones are positive? That's right, 3 and 4. We don't know which equation would be the equation of the line. That's where the other information comes in.

The line intersects the y-axis at at a point that has a negative y-coordinate. Lets write the last two equations in slope-intercept form.

1) y = -3/2x - 5/2

2) y = -3/2x + 5/2

We have to graph both of the lines now. The graphs are at the very bottom. Take a look at them. In the first one, the y-intercept is a negative and in the second one, the y-intercept is positive.

The third one AKA 3x + 2y = -5 is the equation of the line. I hope this helps! Let me know if I got it wrong or if you need any more help.

Answer:

b) False, all integers are whole numbers, but not all whole numbers are integers

Answer: Set A is greater than set B

Step-by-step explanation:

You can see that the scale of set A is larger than the scale of set B. Therefore making set A greater than set B

Answer:

k = 5.

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

[tex]y = mx + b[/tex]

In which m is the slope, and b is the y-intercept(y when x = 0).

Perpendicular lines

When two lines are perpendicular, the multiplication of their slopes is -1.

Perpendicular to the line y=x−285.

This line has slope 1, so the line we want to find the equation has slope [tex]m = -1[/tex]

Then

[tex]y = -x + b[/tex]

Passes through (7, 0)

This means that when [tex]x = 7, y = 0[/tex]. So

[tex]y = -x + b[/tex]

[tex]0 = -7 + b[/tex]

[tex]b = 7[/tex]

So

[tex]y = -x + 7[/tex]

Find the value of k given that the line through (k, 2)

This means that when [tex]x = k, y = 2[/tex]. So

[tex]y = -x + 7[/tex]

[tex]2 = -k + 7[/tex]

[tex]k = 7 - 2 = 5[/tex]

The value of k is k = 5.

Answer:

(0,2)

Step-by-step explanation:

X=0 and y=2

Answer:

Cheapest cost to pay = £906

Step-by-step explanation:

Given that:

Rice to supply = 50 tonnes

Option A:

Big van has capacity of 15 tonnes.

Number of big vans = [tex]\frac{50}{15}=3.33[/tex]

It means that 4 big vans will be needed for transporting 50 tonnes of rice.

Cost of 4 vans = 4*250 = £1000

Option B:

Small van has capacity of 9 tonnes.

Number of small vans = [tex]\frac{50}{9} = 5.55[/tex]

It means that 6 small vans will be nedded for transporting 50 tonnes of rice.

Cost of 6 vans = 6*151 = £906

Therefore,

The company can transport the rice through small vans.

Hence,

Cheapest cost to pay = £906

Answer:

x³-3x²-40x+84

Step-by-step explanation:

y = (x-7)(x-2)(x+6)

 = (x²-9x+14)(x+6)

 = (x³-9x²+14x)+(6x²-54x+84)

 = x³-3x²-40x+84

Answer:

[tex]\huge\boxed{y=5-\frac{2}{3}x}[/tex]

Step-by-step explanation:

With the equation [tex]\displaystyle 2x+3y=15[/tex], we can solve for y by algebraically manipulating the question until we have y isolated on one side.

It's important to note that if we do something to one side, we have to do it to another. Just as [tex]5=5[/tex], adding two to both sides still makes it true [tex]5+2=5+2, 7=7[/tex].

Therefore, this equation for y is [tex]\displaystyle y = 5 - \frac{2}{3}x[/tex] .

Hope this helped!

2x + 3y = 15

3y = 15 - 2x

y = 15 - 2x/3

Answer:

Step-by-step explanation  Yes u did It right

Answer:

The expression for the perimeter of the rectangle is: [tex]P = 4x - 18[/tex]

Step-by-step explanation:

Perimeter of a rectangle:

A rectangle has length l and width w. It's perimeter is given by:

[tex]P = 2(l + w)[/tex]

In this question:

[tex]l = x - 9, w = x[/tex]

So

[tex]P = 2(x - 9 + x) = 2(2x - 9) = 4x - 18[/tex]

The expression for the perimeter of the rectangle is: [tex]P = 4x - 18[/tex]

Answer:

The answer is 40.

Step-by-step explanation:

Calculate within the parenthesis. After calculate the outside by the inside.

Answer:

0.86

Explanation:

He answered 43 out of 50 questions.

As a fraction this is written  

43

50

To convert this fraction to a decimal fraction divide 43 by 50 .This

can be done on a calculator to obtain 0.86

Step-by-step explanation:

Brainliest?

Step-by-step explanation:

6/10*300=180

60% of 500 is 300

6/10x=300 x=500

60/300=1/5=20%

Answer:

The answer is b.

Answer:

86 thousand 5 hundred and 3

Step-by-step explanation: