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2 years ago

The sum of twice a number and four times the number is 54. Find the number.

2 answers:

5 0

Twice a number can be written as 2n.

Four times the number can be written as 4n.

If the sum of 2n and 4n equals 54, then:

6n = 54

Divide both sides by 6 to solve for n:

n = 9

mamaluj [8]2 years ago

4 0

number is 9

2n+4n=54

6n=54

n=9

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A circle with a radius of 10 inches is placed inside a square with a side length of 20 inches. Find the probability that a dart

melamori03 [73]

Answer:

The correct answer is last option 78.5%

Step-by-step explanation:

Points to remember

Area of circle = πr²

Where r is the radius of circle

Area of square = a²

Where 'a' is the side length of square

<u>To find the area of circle</u>

Here r = 10 cinches

Area = πr²

= 3.14 * 10²

= 3.14 * 100 = 314

<u>To find the area of square</u>

Here a = 20 inches

Area = a²

= 20²

= 400

<u>To find the probability percentage</u>

Probability = area of circle/Area of square

= (314/400)*100

78.5 %

7 0

2 years ago

Read 2 more answers

Please tell me the function( will mark as brainiest) thanks

Alecsey [184]

Answer:

y = 8x+8

Step-by-step explanation:

We can solve for the function by finding the slope of the linear function using two points. Let's use (0,8) and (1,16)

Slope formula is: $m = \frac{y2-y1}{x2-x1}$

Plug in the 2 points: $m = \frac{16-8}{1-0}$

Simplify: m = 8

So now, for the equation y = mx+b, we have m which is y = 8x+b

Now we need to find b by using another point from this linear function.

We can use the point (2,24).

Plug this point into the equation y = 8x+b

24 = 8(2)+b
24 = 16 + b
b = 8

We have now found the equation of the linear function: y = 8x+8

6 0

3 years ago

According to the Rational Root Theorem, which number is a potential root of f(x) = 9x8 + 9x6 – 12x + 7?

bogdanovich [222]

Answer:

Seven-thirds

Step-by-step explanation:

The give equation is $f(x)=9x^8+9x^6-12x+7$ .

The leading coefficient is 9

The constant term is 7

According to the rational root theorem, the ratio of factors the constant terms to that of the coefficient of the leading term are all possible rational roots of the given polynomial.

Base on this theorem, $\frac{7}{3}$ or seven thirds is a potential root because the numeration is a factor of 7 and the denominator is a factor of 9.

5 0

3 years ago

Read 2 more answers

I need help doing everything.

ohaa [14]

Using set notations, we have that:

1. The range of the function is:

Inequality: x ≥ -15.

Set-builder: {x | x ≥ -15}

Interval: [-15, ∞).

2. The function is increasing on:

Inequality: x > 3.

Set-builder: {x | x > 3}

Interval: (3, ∞).

3. The function is decreasing on:

Inequality: x < 3

Set-builder: {x | x < 3}

Interval: (-∞, 3).

4. The function is negative on:

Inequality: 0.918 < x < 5.082.

Set-builder: {x | 0.918 < x < 5.082}.

Interval: (0.918, 5.082).

<h3>What is the standard interval notation?</h3>

The standard interval notation of an interval of lower bound a and upper bound b is given by:

[a,b].

The inequality notation is:

a ≤ x ≤ b

The set builder notation is:

{x | a ≤ x ≤ b}.

<h3>What is the range of the function?</h3>

The range of a function is the set that contains all possible output values for the function. In a graph, it is given by the values of y of the function.

Hence, for this problem, the range is given by these following notations:

Inequality: x ≥ -15.

Set-builder: {x | x ≥ -15}

Interval: [-15, ∞).

<h3>When is a quadratic function increasing and when it is decreasing?</h3>

Considering a concave up quadratic function, as given in this problem, we have that:

It decays for the values of x before the vertex.

It increases for the values of x after the vertex.

In this problem, the vertex is at x = 3, hence the intervals are given as follows:

2. The function is increasing on:

Inequality: x > 3.

Set-builder: {x | x > 3}

Interval: (3, ∞).

3. The function is decreasing on:

Inequality: x < 3

Set-builder: {x | x < 3}

Interval: (-∞, 3).

<h3>When a function is negative?</h3>

A function is negative when it's graph is below the x-axis. Hence, for this problem, we have that:

4. The function is negative on:

Inequality: 0.918 < x < 5.082.

Set-builder: {x | 0.918 < x < 5.082}.

Interval: (0.918, 5.082).

More can be learned about set notations at brainly.com/question/24462379

#SPJ1

6 0

1 year ago

Find the radius of a circle with an area of 615.75 sq kilometers?

Olegator [25]

area = pi x r^2

615.75 = 3.14 x r^2

r^2 = 615.75/3.14 =196.0987 round to 196.1

r = sqrt(196.1) = 14.00357 round to 14

radius = 14 kilometers

4 0

3 years ago