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Andrej [43]
3 years ago
5

Cyrus solved a quadratic equation. His work is shown below.

Mathematics
2 answers:
ASHA 777 [7]3 years ago
7 0

Answer:

sorry the text is all messsed up so i cant answer the questionstep #

Brrunno [24]3 years ago
3 0

Answer:

Step 2

Step-by-step explanation:

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Which expression is equal to
Sergio [31]
Answer: the second option
explanation: below

4 0
2 years ago
Read 2 more answers
Verify if f(x)= 5-3x/2 and g(x)= 5-2x/3 are inverses. Please show step by step.
mestny [16]

Since f(g(x)) = g(f(x)) = x, hence the function f(x) and g(x) are inverses of each other.

<h3>Inverse of functions</h3>

In order to determine if the function f(x) and g(x) are inverses of each other, the composite function f(g(x)) = g(f(x))

Given the function

f(x)= 5-3x/2 and

g(x)= 5-2x/3

f(g(x)) = f(5-2x/3)

Substitute

f(g(x)) = 5-3(5-2x)/3)/2

f(g(x)) = (5-5+2x)/2

f(g(x)) = 2x/2

f(g(x)) = x

Similarly

g(f(x)) = 5-2(5-3x/2)/3

g(f(x)) = 5-5+3x/3

g(f(x)) = 3x/3

g(f(x)) =x

Since f(g(x)) = g(f(x)) = x, hence the function f(x) and g(x) are inverses of each other.

Learn more on inverse of a function here: brainly.com/question/19859934

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7 0
1 year ago
An architect wants to draw a rectangle with a diagonal of 13 centimeters. The length of the rectangle is to be 3 centimeters mor
butalik [34]

Answer:

The rectangle is 3.2 cm by 12.6 cm

Step-by-step explanation:

See attached image for a diagram.

Choose <em>w</em> to represent the width because the length is described by referring to the width:  it's 3 more than (add 3) triple (multiplied by 3) the width.

Length = 3w + 3

The diagonal forms two right triangles, each with leg = <em>w</em>, other leg = 3<em>w</em> + 3, hypotenuse  =  13.

The Pythagorean Theorem says (\text{leg})^2+(\text{leg})^2=(\text{hypotenuse})^2 so

w^2+(3w+3)^2=13^2\\\\w^2+9w^2+18w+9=169\\\\10w^2+18w-160=0\\\\5w^2+9w-80=0\\

Now solve using the Quadratic Formula with a=5,\,b=9,\,c=-80.

w=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\w=\frac{-9\pm\sqrt{81+1600}}{10}\\\\w=\frac{-9\pm\sqrt{1681}}{10}\\\\w=\frac{-9\pm41}{10}\\\\w=-5\text{ or }w=3.2

The negative root makes no sense as a distance, so the width of the rectangle is 3.2 cm. The length is 3(3.2) + 3 = 12.6 cm.

5 0
2 years ago
Simplify 115(4) help pleaseee
Mice21 [21]

Answer:

I got 460.

Step-by-step explanation:

You multiply 115 by 4. Right?

5 0
3 years ago
Read 2 more answers
Anybody pls help me. Plus, working. Thank you ​
Umnica [9.8K]

I hope my answer can help you.

5 0
3 years ago
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