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GaryK [48]
1 year ago
8

Simplify: 3a²b + 5ab – 4ab + ab² + 8a²b

Mathematics
1 answer:
Lisa [10]1 year ago
8 0

In order to simplify this expression, we need to add the like terms.

Like terms are terms that have the same variables to the same power.

So we have:

\begin{gathered} 3a^2b+5ab-4ab+ab^2+8a^2b \\ =(3a^2b+8a^2b)+(5ab-4ab)+ab^2 \\ =11a^2b+ab+ab^2 \end{gathered}

Therefore the correct option is the fourth one.

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I REALLY NEED HELP PLEASE!!  
disa [49]


part A)

\bf \begin{array}{ccllll}
hours(x)&velocity(y)\\
-----&-----\\
1&6\\
3&2
\end{array}\\\\
-------------------------------\\\\


\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
%   (a,b)
&({{ 1}}\quad ,&{{ 6}})\quad 
%   (c,d)
&({{ 3}}\quad ,&{{ 2}})
\end{array}
\\\\\\
% slope  = m
slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{2-6}{3-1}\implies \cfrac{-4}{2}\implies -2

\bf y-{{ y_1}}={{ m}}(x-{{ x_1}})\implies y-6=-2(x-1)\\
\left. \qquad   \right. \uparrow\\
\textit{point-slope form}
\\\\\\
y-6=-2x+2\implies y=-2x+2+6\implies \boxed{y=-2x+8}

part B)

well, we know y = -2x+8.... so.. what's the runner's velocity after 5hours? well, x = 5, thus y = -2(5) +8 ---> y = -2

to graph it, well, is a LINEar equation, meaning the graph is a LINE, and to graph a line, all you need is two points, and by now, you have more than two.. so graph it away.
7 0
3 years ago
Una tienda vende un artículo por $35 después de un margen de beneficio del 25%. ¿Cuál es el precio que pagó la tienda?
nadya68 [22]

Answer:

43.75

Step-by-step explanation:

25 dividido por 100=.25

.25*35=8.75

8,75+35=43,75

5 0
2 years ago
Efia draws this scale drawing a two famous landmarks each inch in the drawing represents 400 ft on the actual landmark how much
Bess [88]

Answer:

x4800 inch

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Clare made $160 babysitting last summer. She put the money in a savings account that pays 3% interest per year. If clare doesn't
AVprozaik [17]

We have been given that Clare made $160 babysitting last summer. She put the money in a savings account that pays 3% interest per year. If Clare doesn't touch the money in her account, she can find the amount she'll have the next year by multiplying her current amount 1.03.

We are asked to write an expression for the amount of money Clare would have after 30 years if she never withdraws money from her account.

We will use exponential growth function to solve our given problem.

An exponential growth function is in form y=a(1+r)^x, where

y = Final value,

a = Initial value,

r = Growth rate in decimal form,

x = Time.

3\%=\frac{3}{100}=0.03

We can see that initial value is $160. Upon substituting our given values in above formula, we will get:

y=160(1+0.03)^x

y=160(1.03)^x

To find amount of money in Clare's account after 30 years, we need to substitute x=30 in our equation.

y=160(1.03)^{30}

Therefore, the expression 160(1.03)^{30} represents the amount of money that Clare would have after 30 years.

8 0
3 years ago
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the
yarga [219]

Answer:

(x-5)^2+(y-2)^2=9\\

Step-by-step explanation:

So, you basically want the equation of the circle.

Given:

Center(C): C(5, 2)

r=3

The equation of circle is:

(x-h)^2+(y-k)^2=r^2\\

Where, (h, k) represents the center point and r is the radius of the circle.

Plotting the values in the equation:

(x-5)^2+(y-2)^2=3^2\\

(x-5)^2+(y-2)^2=9\\

This is the equation of the circle of center (5, 2) and radius 3.

6 0
3 years ago
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