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3 years ago

What type of algebraic expression is 4x + 5?

Mathematics

2 answers:

andriy [413]3 years ago

8 0

This is a binomial algebraic expression,buddy!

liq [111]3 years ago

6 0

Answer:

4x + 5 is a polynomial as well as a binomial.

Step-by-step explanation:

The expression 4x + 5 has two monomials 4x and 5 and this makes it a binomial. Now, the second thing to keep in mind is, every binomial is also considered a polynomial as well.

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How would you estimate the price if a shirt that usually costs $32.99 is on sale for 25% off?

Nuetrik [128]

Answer:

32.99/4 is about 8.25

8.25 x 3= 24.75

about 24.75

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Find the product of ( 2a2– 3b2) and ( a +b2- 3z)

Bond [772]

Answer:

$2a^3+2a^2b^2-6a^2z-3ab^2-3b^4+9b^2z$

Step-by-step explanation:

$(2a^2-3b^2)(a+b^2-3z)$

Start by distributing the $2a^2$ into all of the terms in between the second parentheses.

$2a^3+2a^2b^2-6a^2z$

Next, distribute the $-3b^2$ into all of the terms in between the second parentheses.

$-3ab^2-3b^4+9b^2z$

For the sake of simpler interpretation, I separated the two above, but they are together:

$2a^3+2a^2b^2-6a^2z-3ab^2-3b^4+9b^2z$

Since the terms are already in descending order, we do not need to rearrange them.

4 0

3 years ago

What is the period and midline?

OverLord2011 [107]

$\bf \qquad \qquad \qquad \qquad \textit{function transformations}
\\ \quad \\
% function transformations for trigonometric functions
\begin{array}{rllll}
% left side templates
f(x)=&{{ A}}cos({{ B}}x+{{ C}})+{{ D}}
\\ \quad \\

\end{array}\qquad$

$\bf \begin{array}{llll}
% right side info
\bullet \textit{ stretches or shrinks}\\
\quad \textit{horizontally by amplitude } |{{ A}}|\\
\bullet \textit{ horizontal shift by }\frac{{{ C}}}{{{ B}}}\\
\qquad if\ \frac{{{ C}}}{{{ B}}}\textit{ is negative, to the right}\\
\qquad if\ \frac{{{ C}}}{{{ B}}}\textit{ is positive, to the left}\\
\bullet \textit{vertical shift by }{{ D}}\\
\qquad if\ {{ D}}\textit{ is negative, downwards}\\
\qquad if\ {{ D}}\textit{ is positive, upwards}\\


\end{array}$

$\bf \begin{array}{llll}
\bullet \textit{function period}\\
\qquad \frac{2\pi }{{{ B}}}\ for\ cos(\theta),\ sin(\theta),\ sec(\theta),\ csc(\theta)\\
\qquad \frac{\pi }{{{ B}}}\ for\ tan(\theta),\ cot(\theta)
\end{array}
$

so if you notice yours $\bf \begin{array}{llll}
3.2cos&\left( \frac{5}{3}\theta \right)+&6.1\\
&\ \uparrow&\uparrow \\
&B&D 
\end{array}$

now.. normally the function $\bf 3.2cos&\left( \frac{5}{3}\theta \right)$
has a D value of 0, or no vertical shift, and the amplitude and the period simply make the wave taller and thinner, but the midline is still the x-axis

now, with D = 6.1, that moves the midline up vertically that much

now.. the period, well, B = 5/3, normal period of cosine is $2\pi$
so, the new period will be $\bf \cfrac{2\pi }{B}\implies \cfrac{2\pi }{\frac{5}{3}}\implies \cfrac{6\pi }{5}$

notice the picture below
the vertical shift by the D component, or 6.1, moved the midline to y = 6.1 :)

6 0

3 years ago

Find the product. (y-3)(y-4)=

zubka84 [21]

Answer:

y^2+12-7y

Step-by-step explanation:

(y-3)(y-4)

I will split it up for us

y*y= y^2

-3*y= -3y. \

y*-4= -4y. / -7y

-3*-4= 12

y^2+12-7y

7 0

3 years ago

Determine the intercepts of the line. y - 4= 72 – 6) z-intercept: y-intercept:

Goryan [66]

If i am correctthe answer is
y= 70
z=1

4 0

3 years ago