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2 years ago

IT WUU Tate for school on a

Mathematics

1 answer:

Blizzard [7]2 years ago

3 0

Answer:

Number of students = 441 Students

Step-by-step explanation:

Given:

Percent of women = 40%

Percent of women = 35.5%

Total number of people = 1,800

Find:

Number of students

Computation:

Percent of student = 100% - 35.5% - 40%

Percent of student = 24.5%

Number of students = 1,800 x Percent of student

Number of students = 1,800 x 24.5%

Number of students = 441 Students

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I’ll give brainliest!! Help!!Jeremy deposits $24,000 into an account earning interest that is compounded monthly. The interest r

Schach [20]

The answer is $79,523.95

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4 0

3 years ago

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Translate ƒ(x) = |x| so that it's translated up by 5 units and vertically stretched by a factor of 3. What's the new function g(

zavuch27 [327]

Given:

The parent absolute function is

$f(x)=|x|$

To find:

The new function if the parent function is translated up by 5 units and vertically stretched by a factor of 3.

Solution:

The translation is defined as

$g(x)=kf(x+a)+b$ .... (1)

Where, k is stretch factor, a is horizontal shift and b is vertical shift.

If 0<k<1, then the graph compressed vertically by factor k and if k>1, then the graph stretch vertically by factor k.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

Parent function is translated up by 5 units. So, b=5

It is vertically stretched by a factor of 3. So, k=3.

There is no horizontal shift. So, a=0.

Now, putting k=3, a=0 and b=5 in (1), we get

$g(x)=3f(x+0)+5$

$g(x)=3f(x)+5$

$g(x)=3|x|+5$ $[\because f(x)=|x|]$

Therefore, the correct option is D.

5 0

2 years ago

If x, y, and z are integers greater than 1, and (327)(510)(z) = (58)(914)(xy), then what is the value of x? (1) y is prime (2) x

Virty [35]

Answer:

1) 5

2) 5

Step-by-step explanation:

Data provided in the question:

(3²⁷)(5¹⁰)(z) = (5⁸)(9¹⁴)( $x^y$ )

Now,

on simplifying the above equation

⇒ (3²⁷)(5¹⁰)(z) = (5⁸)((3²)¹⁴)( $x^y$ )

⇒ (3²⁷)(5¹⁰)(z) = (5⁸)(3²⁸)( $x^y$ )

⇒ $(\frac{3^{27}}{3^{28}})(\frac{5^{10}}{5^8})z=x^y$

⇒ $(\frac{5^2}{3})z=x^y$

⇒ $\frac{5^2}{3}=\frac{x^y}{z}$

we can say

x = 5, y = 2 and, z = 3

Now,

(1) y is prime

since, 2 is a prime number,

we can have

x = 5

2) x is prime

since 5 is also a prime number

therefore,

x = 5

8 0

2 years ago

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

Use the quadratic formula to solve the equation. If necessary, round to the nearest hundredth.

marishachu [46]

Answer:

Thus, the two root of the given quadratic equation $x^2-6=-x$ is 2 and -3 .

Step-by-step explanation:

Consider, the given Quadratic equation, $x^2-6=-x$

This can be written as , $x^2+x-6=0$

We have to solve using quadratic formula,

For a given quadratic equation $ax^2+bx+c=0$ we can find roots using,

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$ ...........(1)

Where, $\sqrt{b^2-4ac}$ is the discriminant.

Here, a = 1 , b = 1 , c = -6

Substitute in (1) , we get,

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

$\Rightarrow x=\frac{-(1)\pm\sqrt{(1)^2-4\cdot 1 \cdot (-6)}}{2 \cdot 1}$

$\Rightarrow x=\frac{-1\pm\sqrt{25}}{2}$

$\Rightarrow x=\frac{-1\pm 5}{2}$

$\Rightarrow x_1=\frac{-1+5}{2}$ and $\Rightarrow x_2=\frac{-1-5}{2}$

$\Rightarrow x_1=\frac{4}{2}$ and $\Rightarrow x_2=\frac{-6}{2}$

$\Rightarrow x_1=2$ and $\Rightarrow x_2=-3$

Thus, the two root of the given quadratic equation $x^2-6=-x$ is 2 and -3 .

7 0

3 years ago

Read 2 more answers