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3 years ago

Please answer quick, this is due soon

Mathematics

2 answers:

bulgar [2K]3 years ago

7 0

Answer:

<em>An equation shows the equality of two variables while an inequality shows the inequality of two variables. 3. Although both can have several different solutions, an equation only has one answer while an inequality can also have several</em>

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LenaWriter [7]3 years ago

4 0

Step-by-step explanation:

The solution of an equation is usually one number (for example, x = 4) and sometimes two or three numbers (for example, x = 5 or x = -2). Sometimes there is no solution, or there are more than three numbers as solutions.

The solution of an inequality is usually an infinite number of numbers, such as all numbers greater than 5, or all numbers less than or equal to 2. Each of these example solutions consists of an infinite number of numbers. Sometimes there is no solution.

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The area of the triangle is 42 square inches. find the value of x when a = x and b = (x+8)

damaskus [11]

Answer:

6 and -14

Step-by-step explanation:

Area of the triangle = 1/2 ab

42 = 1/2 (x)(x+8)

42 *2 = x(x+8)

84 = x²+8x

x²+8x-84 = 0

x²+14x-6x-84 = 0

x(x+14)-6(x+14) = 0

x-6 = 0 and x+14 = 0

x = 6 and -14

Hence the values of x are 6 and -14

3 0

3 years ago

PLEASE HELP ME!!!!!!!!!

vitfil [10]

$(x - 4) {}^{2} - 28 = 8 \\ (x - 4) {}^{2} = 8 + 28 \\ (x - 4) {}^{2} = 36$

This must be true for some value of x, since we have a quantity squared yielding a positive number, and since the equation is of second degree,there must exist 2 real roots.

$\sqrt{(x - 4) {}^{2} } = ± \sqrt{36} \\x - 4 = ±6 \\ x _{1}- 4 = 6 \: \: \: \: \: \: \: \: \: \: x _{2}- 4 = - 6 \\ x_{1} = 6 + 4 \: \: \: \: \: \: \: \: \: \: x_{2} = - 6 + 4 \\ x_{1} = 10 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: x_{2} = - 2$

Well he started off correct to the point of completing the square.

$(x - 3) {}^{2} = 16 \\ x - 3 = ±4 \\ \: x_{1} - 3 = 4 \: \: \: \: \: \: \: \: \: \: \: \: x_{2} - 3 = - 4 \\ x_{1} = 7 \: \: \: \: \: \: \: \: \: \: x_{2} = - 1$

8 0

1 year ago

2.<br> Which of the functions below is an inverse of the quadratic function f(x) = x2 - 3 ?

mezya [45]

Answer:

the inverse of the quadratic function $f(x) = x^2 - 3$ is $\mathbf{f^{-1}(x)=\pm \sqrt{x+3}}$

Step-by-step explanation:

We need to find inverse of the quadratic function $f(x) = x^2 - 3$

Let

$y=x^2-3$

Replace x and y

$x=y^2-3$

Now, we will solve for y

Adding 3 on both sides

$x+3=y^2-3+3$

$x+3=y^2$

Taking square root on both sides

$\sqrt{y^2}=\sqrt{x+3}\\y=\pm \sqrt{x+3}$

Now replace y with $f^{-1}(x)$

$f^{-1}(x)=\pm \sqrt{x+3}$

So, the inverse of the quadratic function $f(x) = x^2 - 3$ is $\mathbf{f^{-1}(x)=\pm \sqrt{x+3}}$

3 0

3 years ago

A cylinder has volume 45 pie and radius 3. What is its height?

liraira [26]

Answer:

5 units

Step-by-step explanation:

The <u>volume of the cylinder</u> is the area of the circle multiplied by it's height. Therefore, the volume of the cylinder is πr² × h, which when simplified, gives us πr²h. Let's substitute the volume and the radius in the formula to find the height.

⇒ πr²h = Volume of cylinder

⇒ (π)(3²)(h) = 45π

Now, simplify the equation to evaluate the area of the cylinder.

⇒ (π)(3²)(h)/(3²)(π) = 45π/(3²)(π)

⇒ (h) = 45π/(9)(π) = 45/(9) = 5 units

7 0

3 years ago

Jessica purchased a dvd that was on sale for 12% off. the sales tax in her county is 3%. let y represent the original price of t

ohaa [14]

Jessica purchased a DVD that was on sale for 12% off.

The sales tax in her county is 3%.

Let, y represent the original price of the DVD.

We can simply solve this mathematical problem by using the following mathematical process.

Here, we will form an algebraic expression, according to the given data.

So,

The original price of the DVD = y

Discount on the original price :

y * 12/100

=3y/25

Price after discount :

y - 3y/25

=25y - 3y/25

=22y/25

Sales tax amount :

22y/25 * 3/100

11y/25 * 3/50

=33y/1250

Final price including the sales tax :

22y/25 + 33y/1250

1100y + 33y/1250

1133y/1250

(This will be considered as the final result.)

Learn more about sales tax here:brainly.com/question/9437038

#SPJ4

5 0

2 years ago