y = x² + 6x - 12
a =______
b = _____
c=______
h=______
k =_____
y-intercept=______
x-intercepts =______
and_____

Answer:

\( \frac{1}{x {}^{2} y {}^{4} }\)

Step-by-step explanation:

\( \frac{x {}^{ - 2} }{y {}^{4} } = x {}^{ - 2} \times \frac{1}{y {}^{4} } \)

\(x {}^{ - 2} = \frac{1}{x {}^{2} } \)

\(therefore \: \frac{x {}^{ - 2} }{y {}^{4} } = \frac{1}{x {}^{2} } \times \frac{1}{y {}^{4} } \\ = \frac{1}{x {}^{2}y {}^{4} }\)

Answer:

A or C

Step-by-step explanation:

Answer:

a number x is multiplied by 4 then increased by 2

Step-by-step explanation:

4x+2

Answer: 14 ounces

Step-by-step explanation:

         To find the mean, we add up all the values and divide by the number of values.

\(\displaystyle \frac{12+14+15+15+14}{5} =\frac{70}{5} =14\;ounces\)

Answer:

0.5294117647

Step-by-step explanation:

Answer:

52.94117647 %

0.52941176

Step-by-step explanation:

According to the given percentage,

The original price of the jacket was $64.

Jeremy surveyed 100 students for his math project.

If the jacket was on sale for 25% off, that means the price Linda paid was equal to 75% of the original price. We can set up an equation to represent this:

0.75x = 48

where x is the original price of the jacket. To solve for x, we divide both sides by 0.75:

x = 48 / 0.75

x = 64

If 18% of the students surveyed selected hamburgers, that means the remaining 82% did not select hamburgers. We can represent this with an equation:

0.18x + 0.82x = x

where x is the total number of students surveyed. The left-hand side of the equation represents the number of students who selected hamburgers (0.18x) plus the number who did not (0.82x), which must equal the total number surveyed (x).

Simplifying the equation, we get:

x = 100x / 100

Dividing both sides by 100, we get:

x = 1 / 0.01

x = 100

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Answer:

16.67% probability of getting 2 blues

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The order in which the marbles are selected is not important. So we use the combinations formula to solve this question.

Combinations formula:

\(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

What is the probability of getting 2 blues?

Desired outcomes:

Two blue marbles, from a set of 4.

\(D = C_{4,2} = \frac{4!}{2!(4-2)!} = 6\)

Total outcomes:

Two marbles, from a set of 9.

\(T = C_{9,2} = \frac{9!}{2!(9-2)!} = 36\)

Probability:

\(p = \frac{D}{T} = \frac{6}{36} = 0.1667\)

16.67% probability of getting 2 blues

Answer:

288 ft³

Step-by-step explanation:

Volume of the pyramid,

base area × height × (1/3)

= (9×8)×12/3

= 72×4

= 288 ft³

The coordinates of B are (-7,-2).

What do you mean by x and y coordinates?

The x and y coordinates are a component of the x-axis and y-axis in a 2D space in the Cartesian coordinate system. The x and y coordinates for a point in space are expressed as an ordered pair (x, y). The position of the point on the x-axis is shown by the first number, while its location on the y-axis is indicated by the second number.

According to the given data in the question,

if M is the location where line segment AB meets its midpoint.

Then, we will using the midpoint formula,

\((-5,2)=(\frac{-3+x}{2},\frac{6+y}{2})..............(1)\)

Putting the x-coordinates in (1),

\(-5=\frac{-3+x}{2}\\ -10=-3+x\\-10+3=x\\x=-7\)

Similarly, putting the y-coordinates in (1),

\(2=\frac{6+y}{2} \\4=6+y\\4-6=y\\y=-2\)

Hence, the coordinates of B are (-7,-2).

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Answer:

(-∞,∞)

Step-by-step explanation:

This would form a roughly parabolic shape that extends infinitely along the x-axis.  It would reach a height of ³√2 on the y-axis.  Because it extends infinitely left and right, it would have an infinite domain.  In interval notation, this would be (-∞,∞)

The function is continuous only if m = 7.

If the function is continue, then the value of the function needs to be the same one in both pieces of the function when we evaluate in x = -2

That means that:

f(-2) = f(-2)  (trivially)

Replacing the two pieces of the function we will get:

m*(-2) - 6 = (-2)^2 + 10*(-2) - 4

now we can solve that equation for m.

-2m - 6 = 4 -20 - 4

-2m = -20 + 6 = -14

m = -14/-2 = 7

m = 7

that is the value of m.

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a. There is a 0.7643 percent probability that the website will have fewer than 5 million visitors in a single day.

b. There is a 0.0375 percent chance that the website will have 3 million or more visitors in a single day.

c. There is a 0.3186 percent chance that the website will receive between 3 million and 4 million visitors in a single day. Therefore, about 5,276,320 visits per day's worth of website traffic will necessitate Smiley's People buying more server space.

d. The amount of web traffic that will require Smiley's People to purchase additional server capacity is approximately 5,276,320 visitors per day.

In order to calculate the likelihood, we must standardise the data using the equation z = (x - mu) / sigma, where x is the value we are interested in, mu is the mean, sigma is the standard deviation, and z is the standardised value.

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Answer:

oh, you may have forgotten to add the file, you can edit and add it, which i will edit my response and respond.

Step-by-step explanation:

Step-by-step explanation:

-9 ≤ 7 − 8x

8x ≤ 16

x ≤ 2

The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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Bob can deduct a total of $2,210 on his Schedule C related to these expenses.

To determine the total amount Bob can deduct on his Schedule C related to these expenses, consider the specific categories that can be deducted. Based on the information provided, categorize the expenses as follows:

Course fees for continuing legal education: $1,400

Airfare and hotel room: $500

Meals provided by the hotel's restaurant: $300

Snacks from the newsstand: $10

To calculate the total amount that Bob can deduct, add up these expenses:

$1,400 + $500 + $300 + $10 = $2,210

Therefore, Bob can deduct a total of $2,210 on his Schedule C related to these expenses.

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Answer:

Miriam has $6, Phoebe has $16, and Grace has $32

Step-by-step explanation:

So we know Kendra has $54. (I'm being very obvious, aren't I) The first thing we need to figure out is how much money Miriam has. We have to guess around with this since there isn't much info on it anyways. I started guessing around with 5 and ten, and those weren't accurate, so that narrows it down to somewhere in between. Let me explain now how I did it.

If Miriam was loaned $6 of the total of 54, and Phoebe has 10 more dollars than that, she would have 16. Then, if Grace had twice the amount of 16, we know that 16 + 16 (or 16 x 2) equals 32.

Now if we add up Miriam, Phoebe, and Grace's loaned money, we will get our answer.

6 + 16 + 32 = 54

The exponential form of the given number 8x8x8 is 8³.

The exponential form is a way of writing numbers using bases and powers. It tells us how many times are we actually multiplying a number to get the result.

Given is a number, 8x8x8,

As we know,

a×a×a××a×a×a×a×a×a...... n times = aⁿ

The number 8 is multiplied by itself 3 times, so, it will have a power of 3,

Therefore, 8x8x8 = 8³

Hence, the exponential form of the given number 8x8x8 is 8³.

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Multiply:  1

3

 ×  2

5

To find the product,

✔ multiply

the numerators and

✔ multiply

the denominators.

The product is

✔ 2/15

.

Divide:  2

5

 ÷  3

5

To divide, multiply by the

✔ reciprocal

.

The quotient is

✔ 2/3

.

Edg 2020 :)))))))

The multiplication result to 2/15 and division result to 2/3.

The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.

Given:

1/ 3 × 2 /5

Now, to multiply we have multiply numerator and denominator.

1/ 3 × 2 /5

=(1  x 2)/ ( 3 x 5)

= 2 /15

Now, 2/ 5 ÷ 3/ 5

We have to divide the fraction.

Fraction does not support division.

So,2/ 5 ÷ 3/ 5

= 2/5 x 5/3

= 2/3.

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To isolate the variable on one side of the equal sign, divide both sides of the equation by the coefficient of the variable.

for blank 1 the answer is "slope" and for blank 2 the answer is y-intercept (slope intercept form is y=mx+b, m=slope and b=y-intercept).

Answer:

Of the 500 parents surveyed 275 would be expected to spank their​ children.

Step-by-step explanation:

Let the random variable X represent the number of parents who spank their children.

It is provided that, from previous studies, p = 55​% of parents spank their children.

A random sample of n = 500 adults were selected.

The event whether a parent spank their children is independent of other parents.

The random variable X thus follows a Binomial distribution with parameters n = 500 and p = 0.55.

The expected value of a Binomial random variable is:

\(E(X)=np\)

         \(=500\times 0.55\\=275\)

Thus, of the 500 parents surveyed 275 would be expected to spank their​ children.

From the 500 parents surveyed, the number of parents that will be expected to spank their​ children is 275 parents.

Number of parents surveyed = 500

Percentage of parents that spank their children = 55%

Therefore, from the 500 parents surveyed, the number of parents that will be expected to spank their​ children  will be:

= 55% × 500

= 0.55 × 500

= 275

Therefore, the number of parents will be 275 parents.

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The expanded and simplified form of the expression (x + 5)(x - 1) is  x² - x + 5x - 5.

Given the expression in the question;

(x + 5)(x - 1)

To expand and simplify the expression (x+5)(x-1),

we use the distributive property:

(x + 5)(x - 1)

x(x - 1) + 5(x - 1)

Now we can simplify each term by using the distributive property again:

x(x - 1) = x² - x

5(x - 1) = 5x - 5

Putting these terms back together, we have:

(x+5)(x-1) = x² - x + 5x - 5

Combining like terms, we get:

(x+5)(x-1) = x² + 4x - 5

Therefore, (x+5)(x-1) simplifies to the quadratic expression x² + 4x - 5.

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x=-11

we know that

Points A,B,C,and D are collinear and positioned in that order

so

AD=AB+BC+CD -----> by addition segment postulate

we have

AB=2x+30

AD=x=32

substitute the given values and solve for x

x+32 = (2x+43)

Group terms that contain the same variable

2x-x=32-43

x=-11

The area of the square with a side length of 3.1 meters is 9.61 square meters.

To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.

Area of a square = side length × side length

Substituting the given side length into the formula:

Area = 3.1 m × 3.1 m

To perform the calculation:

Area = 9.61 m²

It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.

Remember, to find the area of any square, you simply need to multiply the length of one side by itself.

The area of the square with a side length of 3.1 meters is 9.61 square meters.

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Answer:

198

Step-by-step explanation:

t20=a+19d.......1

t40=a+39d.......2

t2=a+d=2.........3

According to ques,

t40-t20=a+39d-(a+19d)=40

or,20d=40

or,d=2

Now ,putting the value of d in equation 3,we get,

a=0

t100=a+99d

=0+99×2

=198

Answer:

3,0,-6,0

Step-by-step explanation:

x1=3 because 3+0+0=3

since x2 and s2=0.

The expression represents a quadratic polynomial with two terms. The constant term is \(-\frac{1}{6}\), the leading term is \(x^{2}\), and the leading coefficient is \(-1\).

The given expression is \(-x^{2}-\frac{1}{6}\).

We have to complete the given sentence;

The expression represents a ........... polynomial with ........terms. The constant term is .........., the leading term is..........., and the leading coefficient is ....................  .

we first complete the given sentence then we explain the sentence.

The expression represents a quadratic polynomial with two terms. The constant term is \(-\frac{1}{6}\), the leading term is \(x^{2}\), and the leading coefficient is \(-1\).

Firstly about Quadratic Polynomial

When the highest degree term in a second-degree polynomial equals to 2, the polynomial is said to be quadratic.

Now about Constant Term

A number that is constant and does not have any variables in an algebraic expression is a constant term.

Now about Leading Coefficient

The numbers placed in front of the variable with the biggest exponent are known as leading coefficients.

Hence, the expression represents a quadratic polynomial with two terms. The constant term is \(-\frac{1}{6}\), the leading term is \(x^{2}\), and the leading coefficient is \(-1\).

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Answer:

the correct answer is A.1

the result is explained below in the photo

Answer:

y = 1

Step-by-step explanation:

2x + y = 7

x = 3

plug in 3 for x

2(3) + y = 7

Multiply 2 * 3

6 + y = 7

Therefor y = 1