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3 years ago

Transformations of exponential functions

Mathematics

1 answer:

AURORKA [14]3 years ago

6 0

Answer:

It's the last one. We know it's to the right because the -8 is in the exponent and also, it's -8 not +8.

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Find the ratio of 3:2 9:x

NeX [460]

Answer:

9:6

Step-by-step explanation:

You can find x by setting the ratios equal to each other.

$\frac{3}{2} = \frac{9}{x}$

Now you just need to solve for x.

$\frac{3}{2} = \frac{9}{x} \\\frac{3}{2}x = 9\\x = 6$

The ratio is 9:6.

8 0

3 years ago

what is the equation of the following line ? be sure to scroll down first to see all answer options (0,0) (-2,-3)

jenyasd209 [6]

to get the slope of any line, all we need is two points off of it, so let's get the slope and thus its equation, hmmmm let's see points (-2,-3) and the origin are the obvious ones =)

$\bf (\stackrel{x_1}{-2}~,~\stackrel{y_1}{-3})\qquad (\stackrel{x_2}{0}~,~\stackrel{y_2}{0}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{0-(-3)}{0-(-2)}\implies \cfrac{0+3}{0+2}\implies \cfrac{3}{2} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-(-3)=\cfrac{3}{2}[x-(-2)]\implies y+3=\cfrac{3}{2}(x+2) \\\\\\ y+3=\cfrac{3}{2}x+3\implies y=\cfrac{3}{2}x$

6 0

4 years ago

RUDIKE [14]

Answer:

Answer:

For converging lens

object distance u = - 2.0cm

Focal length f = 5.0cm

From lens formula

Size of image = size of object x Magnification

= 2 x .10 = 2.0cm

For diverging lens

object distance u = 140 - 120 = 20 cm

focal length f = -30 cm

frac{1}{v}+\frac{1}{20}=-\frac{1}{30}

v = -12 cm

m = 12/20 = 0.6

size of final image = .6 x 30 = 18 cm

3 0

4 years ago

Jeremy completes eight extra credit problems on the first day and then for problems each day until the work is complete their 28

Novay_Z [31]

I THINK there is a typo. Instead of "for problems each day", i think it's "four problems each day."

Anyway, we need to find how many days it takes Jeremy to complete the paper.

If he completes 8 problems on the first day and 4 on the rest of the days, after the first day he'll have 28 - 8 = 20 more problems.

And since he does 4 every day with 20 problems: 20 / 4 = 5 days.

7 0

3 years ago

Write the decimal represented by each model.

jekas [21]

There are 100 squares in the grid.

63 are shaded.

Number of squares shaded is the numerator (number on top of the decimal).

Total number of squares is the denominator (number at the bottom of the decimal).

$\frac{63}{100}$

Whenever the denominator of the fraction is 100, you can just take the numerator and put a decimal behind the number.

Therefore, the decimal represented would be 0.63.

3 0

3 years ago