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Naya [18.7K]
3 years ago
5

Need help plz show workstep by step

Mathematics
1 answer:
Diano4ka-milaya [45]3 years ago
4 0
Pretty sure it is 3 units
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Solve 10e^2x - 5 =23^x for x.
yawa3891 [41]

10e^{2x}-5=23e^x\qquad\text{subtract}\ 23e^x\ \text{from both sides}\\\\10e^{2x}-23e^x-5=0\\\\10(e^x)^2-23(e^x)-5=0\\\\\text{substitution:}\ e^x=t > 0\\\\10t^2-23t-5=0\\\\10t^2-25t+2t-5=0\\\\5t(2t-5)+1(2t-5)=0\\\\(2t-5)(5t+1)=0\iff2t-5=0\ \vee\ 5t+1=0\\\\2t=5\ \vee\ 5t=-1\\\\t=\dfrac{5}{2} > 0\ \vee\ t=-\dfrac{1}{5} < 0\\\\\text{therefore}\ e^x=\dfrac{5}{2}\to\ln e^x=\ln\left(\dfrac{5}{2}\right)\\\\\boxed{x=\ln\left(\dfrac{5}{2}\right)}

5 0
3 years ago
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For the given equation, find the values of a, b, and c, determine the direction in which the parabola opens, and determine the y
mariarad [96]

Answer:

Table A

Step-by-step explanation:

y  = 3x^2 +2x -8

The quadratic is in the form

y = a x^2 +bx+c

a = 3  b = 2 c = -8

Since a > 0 it opens up

The y intercept is c so the y intercept is -8

7 0
3 years ago
Hillside orchard grows Fiji apples and Gala apples. There are 160 Fiji apple trees and 120 Galla apple trees in the orchard. Hil
Paul [167]

Answer:

190

Step-by-step explanation:

160 - 120 = 40

120 + 30 = 150                    

150 + 40 = 190                  

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tatyana61 [14]
The hundredths place value was rounded.
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4 years ago
4. If a data set is graphed, what type of graph would form if the data shows a direct variation?
Lady bird [3.3K]

A function represents a direct variation if the ratio between the output values and input values is constant. If two quantities vary directly, the points on a graph form a straight line, and the line runs through the origin.

Please leave a Thanks! It helps!

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3 years ago
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