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3 years ago

Let g be a translation 5 units up, followed by a reflection over the y-axis given the graph of f(x)=x4−2x3−12

Mathematics

1 answer:

Dmitrij [34]3 years ago

8 0

Answer:

te recomiendo photomacht te hace las cuentas con una foto

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What is the area of this composite

padilas [110]

Step-by-step explanation:

It's 27

Your welcome!!!!

6 0

4 years ago

If $5200 is invested at a rate of 8.6% compounded quarterly, how long will it take, to the nearest hundredth of a year, until th

dexar [7]

Answer:

$t= 9.43\ years$

Step-by-step explanation:

we know that

The compound interest formula is equal to

$A=P(1+\frac{r}{n})^{nt}$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

n is the number of times interest is compounded per year

in this problem we have

$t=?\ years\\ P=\$5,200\\ r=8.6\%=8.6\100=0.086\\n=4\\A=\$11,600$

substitute in the formula above

$11,600=5,200(1+\frac{0.086}{4})^{4t}$

$11,600=5,200(1.0215)^{4t}$

$(11,600/5,200)=(1.0215)^{4t}$

Applying log both sides

$log(11,600/5,200)=log(1.0215)^{4t}$

applying property of logarithms

$log(11,600/5,200)=(4t)log(1.0215)$

$t=log(11,600/5,200)/[(4)log(1.0215)]$

$t= 9.43\ years$

5 0

4 years ago

Find the solution of the Quadratic Equation 2X^2 + 2x - 12 = 0 note: X^2 means x to the power of 2

allsm [11]

x=3 and x= -2

Step-by-step explanation:

we could simplify it to x*2 + x -6 = 0

then 2 numbers whose sum is 1 and product is -6

the numbers are 3 and -2

3 0

3 years ago

Solve for the roots in the equation below. In your final answer, include each of the necessary steps and calculations. Hint: Use

AveGali [126]

Answer: 3

<u>Step-by-step explanation:</u>

$x^3-27=0\\\\x^3=27\\\\\sqrt[3]{x^3}=\sqrt[3]{27}\\\\x=\sqrt[3]{3\cdot 3\cdot 3} \\\\x=3$

6 0

3 years ago

3 and 1/3 minus 2 and 5/6

Rama09 [41]

$3\dfrac{1}{3}-2\dfrac{5}{6}$

Find the common denominator

LCM(3, 6) = 6

$3\dfrac{1}{3}=3\dfrac{1\cdot2}{3\cdot2}=\3\dfrac{2}{6}\\\\3\dfrac{1}{3}-2\dfrac{5}{6}=3\dfrac{2}{6}-2\dfrac{5}{6}=2\dfrac{6+2}{6}-2\dfrac{5}{6}=2\dfrac{8}{6}-2\dfrac{5}{6}=(2-2)+\left(\dfrac{8}{6}-\dfrac{5}{6}\right)\\\\=\dfrac{8-5}{6}=\dfrac{3}{6}=\dfrac{3:3}{6:3}=\boxed{\dfrac{1}{2}}$

7 0

3 years ago