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lapo4ka [179]
3 years ago
7

Part A: Explain why the x-coordinates of the points where the graphs of the equations y = 8^x and y = 2^x+2 intersect are the so

lutions of the equation 8^x = 2^x+2. (4 points)
Part B: Make tables to find the solution to 8^x = 2^x+2. Take the integer values of x between −3 and 3. (4 points)

Part C: How can you solve the equation 8^x = 2^x+2 graphically? (2 points)
Mathematics
1 answer:
Butoxors [25]3 years ago
6 0
If they y values are the same then you can equate these 2 equations y = 8x and y = 2x + 2 8x=2x+2
because where they inersect their x and y values are the same

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compute the value of the discriminant and give the number of real solutions of the quadratic equation. -2x²+3x+5=0
SCORPION-xisa [38]

Given a quadratic equation in standard form

y=ax^2+bx+c

The discriminant D

D=b^2-4ac

tells the types of roots the equation has.

In this case, we have

\begin{gathered} -2x^2+3x+5=0 \\ a=-2 \\ b=3 \\ c=5 \end{gathered}

Then, the discriminant of this quadratic equation will be

\begin{gathered} D=b^2-4ac \\ D=(3)^2-4(-2)(5) \\ D=9+40 \\ \mathbf{D=49} \end{gathered}

Finally, the value of discriminat is 49 and as he discriminant is greater than zero then this quadratic equation has 2 different real solutions.

8 0
1 year ago
Use the given data to find the 95% confidence interval estimate of the population mean μ. Assume that the population has a norma
loris [4]

Answer: For 95% Confidence Interval:

Upper Limit = 110.2

Lower Limit = 97.8

95% Confidence Interval = [97.8, 110.2]

Step-by-step explanation:

Given that,

Mean(M) = 104

Standard Deviation(SD) = 10

Sample Size(n) = 10

Formula for calculating 95% Confidence Interval are as follows:

Standard error(SE) =\frac{SD}{\sqrt{n} }

                         = \frac{10}{\sqrt{10} }

                         = 3.164

⇒ M ± Z_{0.95} × SE

= 104 ± (1.96)(3.164)

= 104 ± 6.20

∴ Upper Limit = 104 + 6.20 = 110.2

   Lower Limit = 104 - 6.20 = 97.8

So,

95% Confidence Interval = [97.8, 110.2]

6 0
3 years ago
Anna built a prism (Prism A) out of a cube of wood. The side length of the cube measured 18 inches in length. Anna built another
adelina 88 [10]

Answer:

The volume of the prism B will double

Step-by-step explanation:

4 0
3 years ago
Solve the system of equations by multiplying first. Enter the solution as an ordered pair.
MA_775_DIABLO [31]
The answer will be -8+13
4 0
3 years ago
If f(x) = 5x – 2 and g(x) = x+1, find (f = g)(x).
Karo-lina-s [1.5K]

Answer: Choice A) 5x^3 - x - 3

=================================================

Work Shown:

We subtract the two functions like so

(f - g)(x) = f(x) - g(x)

(f - g)(x) = ( 5x^3-2 ) - ( x+1 )

(f - g)(x) = 5x^3 - 2 - x - 1

(f - g)(x) = 5x^3 - x - 3 ..... choice A

Note: be sure to remember to distribute the negative to every term inside (x+1), and not just to the x only.

5 0
3 years ago
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