Evaluate the following expression.

1/2 + 2/3 divided by 1/6

Answer:x=-32

Step-by-step explanation:

Answer

\(3x ^{2} - 6x + 8 + \frac{4}{x + 2} \)

Step-by-step explanation:

use synthetic division-

1. but all the coefficients in a box

2. put the divisor term equal to 0 so... x+2=0 ,x would have to equal negative 2 x= -2

3. drop the first coefficient

4. multiply the number outside the box by the number you just dropped and put it under the second coefficient. then subtract

5. keep repeating steps four

6. once youre done the last term below the box is your remainder and should be written as +remainder over divisor which in this case is x-2

7. everything is backwards soo the 8 would be your constant, the -6 is your x and 3 is your x^2 term.

also PLS mark brainliest :) <33

a. The complete table for the ordered pairs that are solutions to y = x³ - 4 is

x             y

-1            -5

0            -4

1             -3

2            4

b. The graph of the equation is shown below

From the question, we are to complete the given table of ordered pairs that are solutions to the given equation.

The given equation is

y = x³ - 4

Now, we will determine the values of y for the given values of x

When x = -1

y = x³ - 4

y = (-1)³ - 4

y = -1 - 4

y = -5

(-1, -5)

When x = 0

y = x³ - 4

y = (0)³ - 4

y = 0 - 4

y = -4

(0, -4)

When x = 1

y = x³ - 4

y = (1)³ - 4

y = 1 - 4

y = -3

(1, -3)

When x = 2

y = x³ - 4

y = (2)³ - 4

y = 8 - 4

y = 4

(2, 4)

Thus,

The table is

x             y

-1            -5

0            -4

1             -3

2            4

The graph is shown below

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Answer:

No

Step-by-step explanation:

Given that:

Total number of cups of trail mix available for camping trip = \(6\frac{1}{2}\)

Amount of one serving contains = \(\frac{3}{4}\) cups

Number of people at the trip = 12

To find:

Whether each person will be able to get the servings?

Solution:

Here, we can find the total number of servings by dividing the total number of cups of trail mix with the amount of one serving.

First of all, let us convert the mixed fraction into fractional number.

\(6\dfrac{1}{2} = \dfrac{6\times 2+1}{2} = \dfrac{13}{2}\)

Therefore, total number of servings available as per the given quantities:

\(\dfrac{\frac{13}2}{\frac{3}4}\\\Rightarrow \dfrac{13\times 4}{2\times 3} \\\Rightarrow \dfrac{26}{3}\\\Rightarrow \approx 8\)

So, With this type of servings Zoey will be able to serve only 8 people.

Therefore, there is not enough servings.

As per the proportion, the number of males rabbits in the population is 1000.

Let's first find the proportion of female rabbits in the population using the given information. We are told that 8 out of every 75 rabbits in the population are females. Therefore, we can write:

Proportion of females = 8/75

We can simplify this fraction by dividing both the numerator and the denominator by the greatest common factor, which is 1:

Proportion of females = 8/75 = 0.1067

This means that for every unit of 75 rabbits in the population, there are 8 female rabbits.

Then, the total number of rabbits in the population is:

Total number of rabbits = r x 75

Since we know that the proportion of females is 0.1067, we can find the number of female rabbits in the population as follows:

Number of female rabbits = Proportion of females x Total number of rabbits

= 0.1067 x (r) x 75

We also know that the total number of rabbits in the population is 1500. Therefore, we can set up an equation as follows:

Number of male rabbits + Number of female rabbits = Total number of rabbits

Number of male rabbits + 0.1067 x (r) x 75 = 1500

Now, we can solve for the number of male rabbits by rearranging the equation:

Number of male rabbits = 1500 - 0.1067 x (r) x 75

We can simplify this expression by first multiplying 0.1067 and 75:

Number of male rabbits = 1500 - 8.003 x r

Finally, we can substitute the value of x in terms of the total number of rabbits in the population (1500) to find the number of male rabbits:

Number of male rabbits = 1500 - 8.003 x (1500/75)

Number of male rabbits = 1000

Therefore, there are 1000 male rabbits in the population.

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Answer:

M(6,3)

Step-by-step explanation:

Find the average of your x1 and x2 and your y1 with your y2.

Don't change which ordered pair is 1 or 2.

so:

U(2,3)

V(10,3)

M(x,y)

x= (2+10)÷2=(12)÷2=6       X=6

y=(3+3)÷2=6÷2=3             Y=3

The answer is either 2 cups or slightly more than 2 cups of fluid to rehydrate himself.

Rehydration means replenishing the fluids and electrolytes lost from the body due to various reasons, such as sweating during exercise, diarrhea, vomiting, fever, etc.

It is important to maintain proper hydration levels to keep the body functioning properly.

Here we have

Bert goes to the gym and works out strenuously for about 45 minutes. after his exercise session, he weighs himself and notices that he has lost a pound.  

It is recommended to drink about 16-20 ounces (2-2.5 cups) of fluid for every pound lost during exercise.

Since Bert lost one pound during his workout, he should drink about 16-20 ounces (2-2.5 cups) of fluid to rehydrate his body.

Therefore,

The answer is either 2 cups or slightly more than 2 cups of fluid to rehydrate himself.

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Answer:16 multiply by 4 = 64 +15= 79

Step-by-step explanation:

The conclusion that is correct in a two-tailed test at α = .05 is There appears to be no difference in the mean occupancy rates.

From the given values:

Thus, the P-value = 0.1791

Interpret results. Since the P-value (0.1791) is greater than the significance level (0.05), we failed to reject the null hypothesis.

From the above test, we do not have sufficient evidence in favor of the claim that there is a difference in the mean occupancy rates.

Thus, option A is correct.

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A road's grade can be thought of as its slope. In the US, grades are frequently reported as percentages by dividing the result by 100. (slope). A road with a rise of 950 feet over three miles is roughly 3% grade.

The slope or gradient of a line in mathematics is a numerical representation of the steepness and direction of the line. Slope is usually represented with the letter m; the rationale for this is unclear, although O'Brien (1844) stated the equation for a straight line as "y = mx + b," which is the first recorded use of the letter in English. It was also written as "y = mx + c" by Todhunter in 1888. The ratio of the "vertical change" to the "horizontal change" between (any) two distinct points on a line is used to calculate slope.

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Answer:

-43

hope this helps

have a good day :)

Step-by-step explanation:

3+4=7

7-50=-43

Answer:

Step-by-step explanation:

(3+4)-50

=7-50

=-43

Answer:

24

Step-by-step explanation:

Answer:

3     : 1

Step-by-step explanation:

1 girl for 3 boys

We want the ratio of boys to girls

boys: girls

3     : 1

multiply it. (x+3)(x) which equals x²+3

The purchase price in dollars of the television that has been marked up 25% of the retail price of $4,500 would be $5,625.

To find the purchase price of the television in dollars, follow these steps:

1. Determine the markup amount: 25% of the retail price ($4,500).
2. Subtract the markup amount from the retail price to find the purchase price.

Step 1: Calculate the markup amount:
25% of $4,500 = 0.25 × 4,500 = $1,125

Step 2: Subtract the markup amount from the retail price:
$4,500 (retail price) - $1,125 (markup) = $3,375

The purchase price of the television in dollars is $3,375.

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The correct equation that can be used to represent the price of the home x years after 2010 is y = 150,000(1.1)ˣ.

Finbar bought his home for $150,000 in 2010. Property values have increased 10% every year since he has owned the home. The equation that can be used to represent the price of the home x years after 2010 is y = 150,000(1.1)ˣ.

Here is an explanation as to why this is the correct equation: To calculate the increase in the value of the home, you have to increase it by 10% each year.

For example, after the first year, the value of the home will be 150,000(1.1) = $165,000. After the second year, the value will be 165,000(1.1) = $181,500. This is called exponential growth because the value of the home is increasing by a fixed percentage each year. Using this pattern, we can see that the equation to calculate the value of the home x years after 2010 is y = 150,000(1.1)ˣ. This equation takes the initial value of the home and multiplies it by 1.1, which represents the 10% increase in value each year, raised to the power of x, which represents the number of years after 2010.  

Therefore, the correct equation that can be used to represent the price of the home x years after 2010 is y = 150,000(1.1)ˣ.

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Answer:

-3

Step-by-step explanation:

Step 1: Solve (-2+(-1))^2/3 3

           1. -2+(-1) = -3

           2. (-3)^2 = 9

           3. 9/3 = 3

Step 2: Solve (-4)^2-17 -1

           1. 3/-1

Step 3: Simplify 3/-1 = -3. I hope this helped and please don't hesitate to reach out with more questions!

Yes, the figure shown in the xy-coordinate plane is a parallelogram because side OP is parallel to side TS and side OT is parallel to side PS

In order for any quadrilateral to be considered a parallelogram, two pairs of its parallel sides must be equal (congruent). Therefore, we would determine the slope of each side by using this mathematical equation:

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

For side OP, the slope is given by:

Slope (m) = (b - 0)/(a - 0)

Slope (m) = b/a.

For side TS, the slope is given by:

Slope (m) = (0 - )/(c - (a + c))

Slope (m) = -b/-a = b/a

Therefore, side OP is parallel to side TS.

For side OT, the slope is given by:

Slope (m) = (0 - 0)/(c - 0)

Slope (m) = 0.

For side PS, the slope is given by:

Slope (m) = (b - b)/((a + c) - c)

Slope (m) = 0

In conclusion, the figure shown above is a parallelogram because side OT is parallel to side PS and side OP is parallel to side TS.

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Duane is making a casserole for dinner. he has been cooking the casserole for 111 hour and 484848 minutes. the casserole needs to cook for 474747 more minutes, the casserole cook in total in minute 966255.

Casseroles are mainly cooked slowly in the oven, often uncovered. They may be served as a main course or side dish, and, conveniently, may be served in the vessel in which they were cooked. It's necessary to heat a casserole thoroughly before eating it; use an instant-read thermometer to make sure the casserole is at 165 degrees F for safe consumption.

Add together how long it has been cooking plus how long it needs to cook.

⇒ 111 hour and 484848 minute + 474747 minute

⇒ 491508 + 474747

⇒ 966255 minute.

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The new price per pound of cat food after applying the coupon is $15.98.

The correct answer is Option B.

Given data:

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

To find the new price per pound of cat food after applying the coupon, we can subtract the coupon amount from the original price per pound.

Original price per pound = Total cost / Total pounds

= $38.96 / 2 pounds

= $19.48 per pound

Coupon amount per pound = $3.50

New price per pound = Original price per pound - Coupon amount per pound

On simplifying the equation:

= $19.48 - $3.50

= $15.98

Hence, the new price per pound of cat food is $15.98.

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It could be D but mathematically it's 3/6=1/2

Answer:

3 on the other side and 7 and 7 on the sides

Step-by-step explanation:

Answer:

d = 4

Step-by-step explanation:

4d - 4 = 5d - 8

Add -5d and 4 on both sides.

4d - 5d = - 8 + 4

- 1d = - 4

Divide -1 into both sides.

d = -4/-1

d = 4

The equation of the line that passes through the points (-8, 9) and (2, -6) is y = (-3 / 2)x - 3.Given two points (-8, 9) and (2, -6). We are supposed to find the equation of the line that passes through these two points.

We can find the equation of a line that passes through two given points, using the slope-intercept form of the equation of a line. The slope-intercept form of the equation of a line is given by, y = mx + b,Where m is the slope of the line and b is the y-intercept.To find the slope of the line passing through the given points, we can use the slope formula: m = (y2 - y1) / (x2 - x1).Here, x1 = -8, y1 = 9, x2 = 2 and y2 = -6.

Hence, we can substitute these values to find the slope.m = (-6 - 9) / (2 - (-8))m = (-6 - 9) / (2 + 8)m = -15 / 10m = -3 / 2Hence, the slope of the line passing through the points (-8, 9) and (2, -6) is -3 / 2.

Now, using the point-slope form of the equation of a line, we can find the equation of the line that passes through the point (-8, 9) and has a slope of -3 / 2.

The point-slope form of the equation of a line is given by,y - y1 = m(x - x1)Here, x1 = -8, y1 = 9 and m = -3 / 2.

Hence, we can substitute these values to find the equation of the line.y - 9 = (-3 / 2)(x - (-8))y - 9 = (-3 / 2)(x + 8)y - 9 = (-3 / 2)x - 12y = (-3 / 2)x - 12 + 9y = (-3 / 2)x - 3.

Therefore, the equation of the line that passes through the points (-8, 9) and (2, -6) is y = (-3 / 2)x - 3. Thus, the answer is (-3/2)x - 3.

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Answer:

48 600

Step-by-step explanation:

6(4×6) × 9(5×9)

Solve the numbers in brackets first

6(20) × 9(45)= 120 × 405

= 4 8 600

Answer:

6(20) × 9(45)= 120 × 405

= 4 8 600

Answer:

x= 8

Step-by-step explanation:

The equation of direct variation is

y = kx

When y = 50  when x = 40

50 = k* 40

Divide each side by 40

50/40 = k

5/4 = k

The equation is

y = 5/4x

Let y = 10

10 = 5/4x

Multiply each side by 4/5

4/5 * 10 = 5/4 x * 4/5

8 = x

Answer:

9/14

Step-by-step explanation:

81/126=9x9/9x14=9/14

Answer:

9/14

Step-by-step explanation:

I divided both the numerator and denominator by 9 and 9/14 is the "most simplified" it can go to, unless I'm incorrect. Hope this helped ^-^

See Explanation

Step-by-step explanation:

1)

\( \begin{bmatrix} - 3 & 5 & 6\\-3 & 0 & - 3\end{bmatrix} -\begin{bmatrix} 6 & - 1& 1\\0& - 4& - 5\end{bmatrix} \\\\

=\begin{bmatrix} - 3-6 & 5-(-1) & 6-1\\-3-0 & 0-(-4) & - 3-(-5)\end{bmatrix} \\\\

=\begin{bmatrix} - 3-6 & 5+1 & 6-1\\-3-0 & 0+4 & - 3+5\end{bmatrix} \\\\

=\begin{bmatrix} - 9 & 6 & 5\\-3 & 4 & 2\end{bmatrix} \\\\

\)

2)

\( \begin{bmatrix} 4 & - 6 \\-3 & - 6\\2 & 6 \end{bmatrix} + \begin{bmatrix} 5 & 3 \\-5 & 5\\ 4 & - 5\end{bmatrix} \\\\

= \begin{bmatrix} 4 +5& - 6+3 \\-3+(-5) & - 6+5\\2+4 & 6+(-5) \end{bmatrix} \\\\

= \begin{bmatrix} 4 +5& - 6+3 \\-3-5 & - 6+5\\2+4 & 6-5 \end{bmatrix} \\\\

= \begin{bmatrix} 9& - 3 \\-8 & - 1\\6 & 1\end{bmatrix} \\\\\)

The equation of the given line passes through the point (2,9) y = 4x + 1.

The slope of a line indicates its steepness. The slope is determined mathematically as "increase over run" (change in y divided by change in x).

The conventional form of a line equation is ax + by + c = 0. Here, the coefficients are a and b, the variables are x and y, and the constant term is c. It is a one-degree equation with variables x and y. The coordinates of both the point on the line that appears in the coordinate plane are represented by the values of x and y.

m = 4

equation of the line = y = mx + c

substituting the value of m = 4

y = 4x + c

the point (2,9):

putting the points in the line of the equation:

x = 2

y = 9

So,

y = mx + c

9 = 4 * 2 + c

9 = 8 + c

c = 1

The equation of the given line y = 4x + 1.

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Answer:

y=4x+1

Step-by-step explanation:

y-y1=m(x-x1)

y-9=4(x-2)

y=4x-8+9

y=4x+1