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3 years ago

Find the degree of the monomial 9b4b8 (the 4 and 8 are exponents

Mathematics

1 answer:

8090 [49]3 years ago

4 0

I'm sorry my friend but I need as much help as you do I'm just answering this so I can get some help sorry

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What does the transformation f(x)↦f(x)+5 do to the graph of f(x)?

Artyom0805 [142]

Answer:

Moves it up 5 units

Step-by-step explanation:

The +5 outside of any parenthesis on a graph moves it up.

6 0

3 years ago

Un triángulo rectángulo tiene un área de 84 pies2 y una hipotenusa de 25 pies de largo. ¿Cuáles son las longitudes de sus otros

jolli1 [7]

Answer:

7 feet and 24 feet

Step-by-step explanation:

In the right triangle, the hypotenuse is 25 feet long. The area of this triangle is 84 square feet.

Let x feet and y feet be the lengths of triangle's legs.

By the Pythagorean theorem,

$x^2+y^2=25^2\\ \\x^2+y^2=625$

The area of the right triangle is half the product of its legs, thus

$84=\dfrac{1}{2}xy\\ \\xy=168$

Solve the system of two equations:

$\left\{\begin{array}{l}x^2+y^2=625\\ \\xy=168\end{array}\right.$

From the second equation:

$x=\dfrac{168}{y}$

Substitute it into the first equation:

$\left(\dfrac{168}{y}\right)^2+y^2=625\\ \\168^2+y^4=625y^2\\ \\y^4-625y^2+168^2=0\\ \\D=(-625)^2-4\cdot 168^2=(625-2\cdot 168)(625+2\cdot 168)=289\cdot 961=17^2\cdot 31\\ \\\sqrt{D}=17\cdot 31=527\\ \\y^2_{1,2}=\dfrac{-(-625)\pm 527}{2}=49,\ 576\\ \\y_1=7,\ y_2=-7,\ y_3=24,\ y_4=-24$

The length of the leg cannot be negative, so

$y_1=7\Rightarrow x_1=\dfrac{168}{7}=24\\ \\y_2=24\Rightarrow x_2=\dfrac{168}{24}=7$

6 0

3 years ago

Disregard my work, but how do you get the answer? There is also a graph at the bottom which is optional to use.

kakasveta [241]

$\bf ~~~~~~~~~~~~\textit{function transformations}
\\\\\\
% templates
f(x)= A( Bx+ C)+ D
\\\\
~~~~y= A( Bx+ C)+ D
\\\\
f(x)= A\sqrt{ Bx+ C}+ D
\\\\
f(x)= A(\mathbb{R})^{ Bx+ C}+ D
\\\\
f(x)= A sin\left( B x+ C \right)+ D
\\\\
--------------------$

$\bf \bullet \textit{ stretches or shrinks horizontally by } A\cdot B\\\\
\bullet \textit{ flips it upside-down if } A\textit{ is negative}\\
~~~~~~\textit{reflection over the x-axis}
\\\\
\bullet \textit{ flips it sideways if } B\textit{ is negative}\\
~~~~~~\textit{reflection over the y-axis}$

$\bf \bullet \textit{ horizontal shift by }\frac{ C}{ B}\\
~~~~~~if\ \frac{ C}{ B}\textit{ is negative, to the right}\\\\
~~~~~~if\ \frac{ C}{ B}\textit{ is positive, to the left}\\\\
\bullet \textit{ vertical shift by } D\\
~~~~~~if\ D\textit{ is negative, downwards}\\\\
~~~~~~if\ D\textit{ is positive, upwards}\\\\
\bullet \textit{ period of }\frac{2\pi }{ B}$

with that template in mind.

since the original or "parent" function is y = x²−4x+3, if we change the "x" argument to "x-2", we end up with a horizontal shift.

the x-2 part would be in the template the Bx+C part, with B = 1 and C = -2, or a horizontal shift to the right of 2/1 or 2 units.

since the parent function has a point at (2, -1), if we move that horizontally only to the right, we'd end up at (4, -1).

7 0

4 years ago

Is 0.¯8 a fraction??

Damm [24]

It's a decimal, but you can rewrite it as a fraction: -8/10 or -4/5 (simplified).

5 0

3 years ago

Read 2 more answers

Please help. This is getting confusing. I can mark you brainliest. Please explain it also thank you.

Setler [38]

Answer:

x = 2.5

Step-by-step explanation:

In order to solve for x, we need to write an equation. This question gives us the angles of a triangle, so we can use this to write our equation. All angles of a triangle will always add to 180 degrees, therefore:

(12x+6) + 104 + 40 = 180

Now we can just take out the brackets, combine like terms and isolate and solve for x:

12x + 6 + 104 + 40 = 180

12x + 150 = 180

12x + 150 - 150 = 180 - 150

12x = 30

12x/12 = 30/12

x = 2.5

Hope this helped!

7 0

4 years ago