MATHEMATICS MIDDLE SCHOOL

What graph best represents y=2^x + 1

Answers

Answer 1

Answer:

Answer:

The graph that best represents the given equation in the attached figure

Step-by-step explanation:

we have

$y=2^x+1$

Find the y-intercept

Remember that the y-intercept is the value of y when the value of x is equal to zero

For x=0

substitute

$y=2^0+1=2$

The y-intercept is the point (0,2)

The given function is increasing, because the y-value increases as the x-value increases. The function tends to go up as it goes along

therefore

The graph that best represents the given equation in the attached figure

Answer

$(3)/(25)$

Explanation

First we need to find the difference of the tow fractions. But to find it, we need to convert the mixed fraction to improper fraction so we can ease our calculation.

Remember that to convert a mixed fraction to an improper fraction, we just need to multiply the denominator of the fraction part by the whole number and add the result to the numerator of the fraction part; the denominator of the improper fraction will be the same denominator of the fraction part of the mixed fraction:

$5(1)/(2) =((5*2)+1)/(2) =(10+1)/(2)=(11)/(2)$

$6(1)/(4) =((4*6)+1)/(4) =(24+1)/(4) =(25)/(4)$

Now we can find the difference:

$(25)/(4) -(11)/(2)$

Remember that to add or subtract fractions, both fraction must have the same denominator, so we are multiplying both numerator and denominator of our second fraction by 2:

$(25)/(4) -(11)/(2)*(2)/(2)$