write each expression without using the absolute value symbol |x/3| if x<0

x + 6 ≤ -30

Explanation:

let the number = x

x increased by 6 = x + 6

less than or equal means ≤

number x increased by 6 is less than or equal to -30:

x + 6 ≤ -30

To write a quadratic function from its vertex and another point, we can use the vertex form of a quadratic function, which is f(x) = a(x-h)^2 + k. Substitute the coordinates of the vertex and the other point into the vertex form to find the value of a. Then, substitute the value of a back into the vertex form to get the quadratic function.

To write a quadratic function from its vertex and another point, we can use the vertex form of a quadratic function, which is f(x) = a(x-h)^2 + k. In this form, (h, k) represents the coordinates of the vertex of the parabola.

Let's say the vertex of the quadratic function is (h, k) and the other point is (x1, y1). We can substitute these values into the vertex form to find the value of a.

Substituting the vertex coordinates, we get:

f(h) = a(h-h)^2 + k

f(h) = k

Substituting the coordinates of the other point, we get:

f(x1) = a(x1-h)^2 + k

Now, we have two equations:

k = a(0)^2 + k

y1 = a(x1-h)^2 + k

From the first equation, we can see that k = k, which is always true. Therefore, we can ignore this equation.

From the second equation, we can solve for a:

y1 - k = a(x1-h)^2

a = (y1 - k) / (x1-h)^2

Now that we have the value of a, we can substitute it back into the vertex form to get the quadratic function:

f(x) = a(x-h)^2 + k

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Answer:

Step-by-step explanation:

If you mean 3x^3 - 42x^2 - 4x + 5 = 0 you can graph it manually or with technology

The roots are 14.09, 0.30 and -0.39 to nearest hundredth.

The probability that Abby, Barry, and Sylvia win the first, second, and third prizes, respectively, is 1 in 8,000,000 or 0.0000125%

Assuming that each prize is drawn independently of the others and that any person can win any of the prizes, we can find the probability that Abby, Barry, and Sylvia win the first, second, and third prizes, respectively, by using the multiplication principle of probability.

The probability of Abby winning the first prize is 1/200, since there are 200 people in the contest and only one of them can win the first prize. Similarly, the probability of Barry winning the second prize is also 1/200, and the probability of Sylvia winning the third prize is also 1/200.

Since winning more than one prize is allowed, the probability of all three of these events occurring simultaneously is simply the product of their individual probabilities:

P(Abby wins 1st prize AND Barry wins 2nd prize AND Sylvia wins 3rd prize) = (1/200) * (1/200) * (1/200) = 1/8,000,000

Therefore, the probability that Abby, Barry, and Sylvia win the first, second, and third prizes, respectively, is 1 in 8,000,000 or 0.0000125%

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Answer:

C

Step-by-step explanation:

When the whole number plus the exponent is being put to an exponent, you multiply the exponents

√100000 = 100√10 ≈ 316.227766

10 =2⋅5 has no more square factors, so √10 cannot be simplified further.

So it may be simply

√100000 = 100√10

Unless you want a decimal approximation or an expression using a continued fraction...

Irrational Number

An irrational number is a type of real number which cannot be represented as a simple fraction. It cannot be expressed in the form of a ratio. If N is irrational, then N is not equal to p/q where p and q are integers and q is not equal to 0.

√10 is an irrational number. It cannot be expressed as a fraction. Its decimal representation does not terminate or recur.

If  use a calculator, it will  an approximation like:

√10 ≈ 3.16227766

Then

√100000 = 100√10 ≈ 316.227766

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x+3/x is the simplified form of the expression

Given the expression below

x^2-9/x^2-3x

On simplifying the expression, we will have:

x^2-9/x^2-3x

Factorize the denominator and numerator

x^2-9/x^2-3x = x²-3²/x²-3x
x^2-9/x^2-3x = (x+3)(x-3)/x(x-3)
x^2-9/x^2-3x = x+3/x

Hence the simplified form of the expression is x+3/x

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Answer:

I am really sorry but I need points urgently

Step-by-step explanation:

Really sorry sorry

Answer:

95

Step-by-step explanation:

jdisusyhsyysysyydyydyyddhdhhdhhdhhd random

Answer:

(4,4)

Step-by-step explanation:

The solution set of the system of equations can be found by setting the two equations equal to each other and solving for x.

x^2 - 6x + 12 = 2x - 4

x^2 - 8x + 16 = 0

(x - 4)^2 = 0

x = 4

Since both equations in the system are equal to y, we can substitute x = 4 into either equation to find the corresponding value of y.

y = 2x - 4 = 2(4) - 4 = 4

Therefore, the solution of this system of equations is (4, 4).

Therefore, the correct answer is (4, 4).

Answer:

depends on the cases. they all have different uses

Answer: 6+x−2/x

Step-by-step explanation:

3x/x+3+x−2/x

3+3+x−2/x

6+x−2/x

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

Or, if you love crazy fractions:

3x/x+3+x−2/x

3x/x−2/x+3+x

(1/x)(3x−2)+3+x

Answer:

A.

Step-by-step explanation:

There is a picture of a graph

To solve the initial value problem, we first need to put it in standard form, which is of the form y' + p(t)y = q(t). We can do this by dividing both sides of the equation by t:

dy/dt + (3/t)y = 9

Now we can identify p(t) and q(t) as p(t) = 3/t and q(t) = 9. To find the integrating factor, we need to compute the exponential of the integral of p(t) dt:

rho(t) = exp(∫p(t)dt) = exp(∫3/t dt) = exp(3ln(t)) = t^3

Multiplying both sides of the equation by the integrating factor, we get:

t^3dy/dt + 3t^2y = 9t^3

Recognizing the left-hand side as the product rule of (t^3y)', we can integrate both sides:

∫(t^3y)' dt = ∫9t^3 dt

t^3y = 9/4 t^4 + C

where C is the constant of integration. To find C, we use the initial condition y(1) = 3:

t^3y = 9/4 t^4 + C

1^3*3 = 9/4*1^4 + C

C = 3 - 9/4 = 3/4

Therefore, the solution to the initial value problem is:

t^3y = 9/4 t^4 + 3/4

y = (9/4)t + (3/4)t^(-3)

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The height of the rocket at t=7 seconds is 882 feet.

As we know that  rocket is fired upward from the ground with an initial velocity of 260 feet per second. Neglecting air​ resistance, the height of the rocket at any time t can be described in feet by the polynomial -16t^2+260t

Given, the height of the rocket at any time t can be described by the polynomial -16t^2+260t.

To find the height at t=7, we substitute t=7 in the polynomial equation and simplify:

Height at t=7 seconds = -16(7)^2 + 260(7)

= -16(49) + 1820

= -784 + 1820

= 1036 feet

Therefore, the height of the rocket at t=7 seconds is 1036 feet.

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Answer:

Q2. angle 5 +angle 6=90°

angle 5+ 6°=90°

angle 5=90°-6°

angle 5=84°

Q.3 angle 8+angle 9=90°

angle 8 + 11°=90°

angle 8=90°-11°

angle 8=79°

The angle of depression of the fish from the given height to the bottom of the lake is 60° .

The bird caught the fish at site A, flew it 100 yards to location B, and then dropped it off at location C. (which is horizontally 50 yards from A).

The right angled triangle BAC is equal to the length of the perpendicular and base .

The angle the bird creates with the water piques our interest (horizontal). This angle is BAC. We can claim to be knowledgeable about the "hypotenuse" and "adjacent" side of the right triangle to angle BAC. Since the cosine relationship between the hypotenuse and its neighbors exists, we can write:

cos BAC = 50/100

BAC = cos ⁻¹ 1/2

BAC = 60 °

Here, our goal is to determine the length (distance) of segment BC. We can say that BC is "opposite" to the angle BAC, which we discovered to be 60 degrees. The hypotenuse is known to be 100. So let's utilize sine since sine is the ratio of the hypotenuse's opposite.

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1) The degree of function f(x) is neither odd nor even function.

2) The leading coefficient is positive,

Reason

3) There are 3 distinct real zeros and 4 relative extreme values.

Answer:

m=-1/3

Step-by-step explanation:

To find the slope you have to use the equation:y₂-y₁ divided by x₂-x₁

So you would have 3-4 divided by 0-(-3)

And then you would get -1/3

Answer:

-0.33333

//////Step-by-step explanation:///////

The standard error of the mean (SEM) is approximately 1.563.

The margin of error is approximately 3.059.

The lower bound of the confidence interval is approximately 13.941, and the upper bound is approximately 20.059.

The population mean falls within the range of 13.941 to 20.059, based on the given sample data.

Sample size (n) = 235

Population standard deviation (σ) = 24

Sample mean (x) = 17

A. Determining the standard error of the mean (SEM):

The formula for calculating the standard error of the mean is:

SEM = σ / √n

Where:

SEM = Standard Error of the Mean

σ = Population Standard Deviation

n = Sample Size

Plugging in the values we have:

SEM = 24 / √235

Using a calculator or simplifying the square root manually, we find:

SEM ≈ 1.563 (rounded to 3 decimal places)

Therefore, the standard error of the mean is approximately 1.563.

C. Determining the 95% confidence interval for the population mean:

To calculate the confidence interval, we need to determine the margin of error first. The margin of error is based on the desired level of confidence and the standard error of the mean.

For a 95% confidence interval, the critical z-value is 1.96 (assuming a large sample size). The margin of error is then given by:

Margin of error = z * SEM

Where:

z = z-value for the desired confidence level

SEM = Standard Error of the Mean

Plugging in the values we have:

Margin of error = 1.96 * 1.563

Using a calculator, we find:

Margin of error ≈ 3.059 (rounded to 3 decimal places)

To construct the confidence interval, we add and subtract the margin of error from the sample mean:

Lower bound of confidence interval = x - Margin of error

Upper bound of confidence interval = x + Margin of error

Plugging in the values we have:

Lower bound = 17 - 3.059

Upper bound = 17 + 3.059

Calculating the values:

Lower bound ≈ 13.941 (rounded to 3 decimal places)

Upper bound ≈ 20.059 (rounded to 3 decimal places)

Therefore, the 95% confidence interval for the population mean is approximately 13.941 to 20.059.

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If after climbing 10 feet further up the pole, you measure once more, and find the angle is 24°, then the height of the building is approximately 73.59 feet.

The solution involves using trigonometry to solve for the height of the building based on the angles and distances provided.

Let's assume that the height of the pole is x, and the height of the building is y.

From the first measurement, we have \(tan(35) = \frac{y}{x}\).

From the second measurement, we have \(tan(32) = \frac{y}{x} + \frac{10}{x}\).

From the third measurement, we have \(tan(24) = \frac{y}{x} + \frac{20}{x}\).

We have three equations and three variables. We can solve for x and y.

Simplifying the second equation, we get

\(\frac{y}{x} = tan(32) - \frac{10}{x}\).

Substituting this into the first equation, we get \(tan(35) = tan(32) - \frac{10}{x}\), which simplifies to x = 69.98.

Substituting x into the second equation, we get \(tan(32) = \frac{y}{69.98}\), which simplifies to y = 73.59.

Therefore, the height of the building is approximately 73.59 feet.

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Answer:

Initial Question: How to find percent of a number?

What I know: Percents can be written as decimals.

Points of confusions: What do I do next after turning the percent into a decimal?

Steps: *Example* What is 60% of 30:

60% = .60

.60 x 30 = 18

Step-by-step explanation:

Hope this helps.

The location of 12/5 is between 2 and 3 on a number line and the number is located at 0.4 units after 2

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

Number = 12/5

Evaluate the expression

So, we have

Number = 2.4

The number 2.4 is between 2 and 3

This means that the location of 12/5 is between 2 and 3 on a number line

Also, the actual position of 12/5​ on a number line is that

The number is located at 0.4 units after 2

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Answer:

a. -63/4

b. -387/20

C. -281/12

I think it will help you

Answer:

Step-by-step explanation:

Multiply all terms by the same value to eliminate fraction denominators

14÷(3y+5)=3÷y

\(\frac {14} {3y+5}= \frac {3}{y}\)

\((3y+5)(y( \frac {14}{3y+5})=\) (3y+5)·y·\(\frac {3} {y}\)

Simplify

Combine multiplied terms into a single fraction

Re-order terms so constants are on the left

Cancel terms that are in both the numerator and denominator

Divide by 1

Cancel multiplied terms that are in the denominator

Re-order terms so constants are on the left

Distribute:

14y=9y+15

Subtract  9

Answer:

111.101, 110.111, 101.121, 101.112

Step-by-step explanation:

Descending order means values starting with big ones and ending with the small ones.

So, in this case,

Hope it helps :)

Answer:

theres 26 lines of symmetry i think....hope this helps:)

Answer:

50% of what number is 11.72 = 23.44

Step-by-step explanation:

50% is half, so simply doube it.