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Ludmilka [50]
3 years ago
8

WARM-UP Solutions

Mathematics
1 answer:
Andreas93 [3]3 years ago
6 0

Answer:

x = 2

Step-by-step explanation:

Rearrange terms

Subtract from both sides of the equation

Simplify

Divide both sides of the equation by the same term

Simplify

If you have like this again type it into a search engine it will answer

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where I got this

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Identify the equivalent expression for (m^1/3 m^1/5)^0
Lostsunrise [7]

Answer:

1.

Step-by-step explanation:

The thing is, x^0 is always 1. So even if you simplify, it will still be 1.

(m^\frac{1}{3}*m^\frac{1}{5})^0\\(m^\frac{8}{15})^0\\\text{But when put to the power of 0,}\\1.

4 0
3 years ago
Read 2 more answers
Complete the statements about the key features of the graph of f(x) = x5 – 9x3. As x goes to negative infinity, f(x) goes to neg
Mars2501 [29]
The function is f(x)= x^{5} -9x ^{3}

1. let's factorize the expression x^{5} -9x ^{3}:

f(x)= x^{5} -9x ^{3}= x^{3} ( x^{2} -9)=x^{3}(x-3)(x+3)

the zeros of f(x) are the values of x which make f(x) = 0.

from the factorized form of the function, we see that the roots are:

-3, multiplicity 1
3, multiplicity 1
0, multiplicity 3

(the multiplicity of the roots is the power of each factor of f(x) )


2.  
The end behavior of f(x), whose term of largest degree is x^{5}, is the same as the end behavior of  x^{3}, which has a well known graph. Check the picture attached. 

(similarly the end behavior of an even degree polynomial, could be compared to the end behavior of x^{2})

so, like the graph of x^{3}, the graph of f(x)= x^{5} -9x ^{3} :

"As x goes to negative infinity, f(x) goes to negative infinity, and as x goes to positive infinity, f(x) goes to positive infinity. "

7 0
3 years ago
Read 2 more answers
Airen’s grandparents deposited $1300 in a mutual fund earning 6% interest compounded annually. Write an equation to represent ho
IRINA_888 [86]

~~~~~~ \textit{Compound Interest Earned Amount \underline{in 18 years}} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$1300\\ r=rate\to 6\%\to \frac{6}{100}\dotfill &0.06\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &18 \end{cases}

A=1300\left(1+\frac{0.06}{1}\right)^{1\cdot 18}\implies A=1300(1.06)^{18}\implies A\approx 3710.64 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill y = 1300(1.06)^x~\hfill

7 0
2 years ago
1kg-1/4-3/8=<br><br>what is it please help​
olga_2 [115]

Answer: it's either kg-5/8 or kg + -5/8

Step-by-step explanation:

4 0
2 years ago
The temperature at a point (x, y, z) is given by T(x, y, z) = 300e−x2 − 3y2 − 7z2 where T is measured in °C and x, y, z in meter
Elenna [48]

Answer:

Rate of change 24^{\circ}C per meter.

Step-by-step explanation:

Given,

T(x,y,z)=300e-x_{2}-3y_{2}-7z_{2}

Then,

T_{x_2}=-1, T_{y_2}=-3, T_{z_2}=-7

Change of temperature at the point say, (x,y,z)=(2,-1,3) along the direction say, (u,v,w)=(6,-4,6) is,

\Big[uT_{x_2}+vT_{y_2}+wT_{z_2}\Big]_{(x,y,z)}

=(6\times -1)+((-4)\times (-3))+(3\times 6)

=24

Hence the rate of change  of temperature is 24^{\circ}C per meter.

3 0
3 years ago
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