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Artyom0805 [142]
3 years ago
14

Rewrite the following without an exponent

Mathematics
1 answer:
Leokris [45]3 years ago
7 0
125/27 , or 4 & 25/27 , or 4.62963
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The function f(x)=5(2)^x was replaced with f(x)+k , resulting in the function graphed below.
ella [17]
In this problem, you have to find the y- intercept of f(x)=5(2)^x. I graphed mine into a graphing calculator. An algebraic way to find it is to input x=0 in the function. The y-intercept is 5.  You can see the y-intercept for the new one is -2. That means we shifted the graph down 7 units. (Vertical Shift down 7)  
k=-7
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3 years ago
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How do you multiply mixed numbers?
GalinKa [24]
1. You turn all mixed numbers into improper fractions
2. Multiply the numerators
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4 years ago
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F(x) = 3 x² + 5 x - 7 &
Andrew [12]

Answer:

4x² + 13x + 3 and 2x² - 3x - 17

Step-by-step explanation:

(a)

f(x) + g(x)

= 3x² + 5x - 7 + x² + 8x + 10 ← collect like terms

= 4x² + 13x + 3

(b)

f(x) - g(x)

= 3x² + 5x - 7 - (x² + 8x + 10)

= 3x² + 5x - 7 - x² - 8x - 10 ← collect like terms

= 2x² - 3x - 17

6 0
3 years ago
HELP HELP HELP*. Hei has $1,700 in a retirement account earning 4% interest compounded annually. Each year after the first, she
KatRina [158]

~~~~~~~~~~~~\stackrel{\textit{payments at the beginning of the period}}{\textit{Future Value of an annuity due}}\\ ~~~~~~~~~~~~ \\\\ A=pmt\left[ \cfrac{\left( 1+\frac{r}{n} \right)^{nt}-1}{\frac{r}{n}} \right]\left(1+\frac{r}{n}\right)

\begin{cases} A=\textit{accumulated amount} \\ pmt=\textit{periodic payments}\dotfill &1700\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &5 \end{cases} \\\\\\ A=1700\left[ \cfrac{\left( 1+\frac{0.04}{1} \right)^{1\cdot 5}-1}{\frac{0.04}{1}} \right]\left(1+\frac{0.04}{1}\right) \\\\\\ A=1700\left( \cfrac{1.04^5~~ - ~~1}{0.04} \right)(1.04)\implies A\approx 9576.06

8 0
3 years ago
Y=6-x In this case, what would be the slope and y-intercept? I'm having a hard time trying to get it to the y=mx+b format.
frutty [35]

Answer:

Slope = \frac{-1}{1} or -1

y = 6

Step-by-step explanation:

The equation given (y = 6 - x) is the same as saying

y = -1x + 6

Since we have a negative x variable and a positive 6 and would also be graphed the same. The only difference is that the second equation I just mentioned resembles the y = mx + b expression more. In this case the slope would be

Slope = \frac{-1}{1} or -1

While the y-intercept would be

y = 6 - x

y = 6 - 0

y = 6

4 0
3 years ago
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