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3 years ago

How do you graph exponential function f(x) = e^2x

Mathematics

1 answer:

miss Akunina [59]3 years ago

3 0

First, use the f(x)=eˣ to get the base graph then stretch the graph horizontally by 2 because it is multiplied by the x-axis.

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Can someone please help me

xenn [34]

It’s y = (x + 1) ^2 - 9

4 0

2 years ago

Read 2 more answers

Trina uses 8.6 pints of blue paint and white paint to paint her bedroom walls.

max2010maxim [7]

<h3>Trina uses 3.44 or $\frac{ 17.2}{5}$ pints of white paint</h3>

Solution:

Given that,

Trina uses 8.6 pints of blue paint and white paint to paint her bedroom walls

3/5 of the amount is blue paint, and the rest is white paint

From given,

3/5 of 8.6 pints is blue paint

$Remaining = 1 - \frac{3}{5}\\\\Remaining = \frac{2}{5}$

Thus, 2/5 of 8.6 pints is white paint

How many pints of white paint did she use to paint her bedroom walls?

$White\ paint = \frac{2}{5} \times 8.6\\\\White\ paint = \frac{17.2}{5}\\\\White\ paint = 3.44$

Thus she uses 3.44 or 17.2/5 pints of white paint

5 0

3 years ago

If the endpoints of the diameter of a circle are (6, 3) and (2, 1), what is the standard form equation of the circle?

Anastasy [175]

If the endpoints of a diameter are (6,3) and (2,1) the midpoint is the center of the circle so:

(x,y)=((6+2)/2, (3+1)/2)=(4,2)

Now we need to find the radius....the diameter is:

d^2=(6-2)^2+(3-1)^2

d^2=16+4

d^2=20 since d=2r, r=d/2, and r^2=d^2/4 so

r^2=5

The standard form of the circle is (x-h)^2+(y-k)^2=r^2 and we know:

(h,k)=(4,2) from earlier so:

(x-4)^2+(y-2)^2=5

8 0

3 years ago

8x + 6 - 2x = 34 x= ?

e-lub [12.9K]

8x + 6 - 2x = 34x

Simplify 8x +6 - 2x to 6x + 6:
6x + 6 = 34x

Subtract 6x from both sides:
6 = 34x- 6x

Simplify 34x - 6x to 28x:
6 = 28x

Divide both sides by 28:
$\frac{6}{28}$ = x

Simplify $\frac{6}{28}$ to $\frac{3}{14}$ :
$\frac{3}{14}$ = x

Now switch sides and the answer is:

x = $\frac{3}{14}$

:) <3

5 0

3 years ago

Read 2 more answers

A custom rectangular tabletop has a length that is twice it’s width, and the tabletop measures 76 inches on its diagonal. What a

Sunny_sXe [5.5K]

Answer:

The dimensions of the tabletop: Length= 67.976... inches and Width= 33.988... inches and the perimeter will be 203.929... inches.

Step-by-step explanation:

Suppose, the width of the rectangular tabletop is $x$ inch.

As the tabletop has a length that is twice it’s width, so the length will be: $2x$ inch.

The tabletop measures 76 inches on its diagonal.

Formula for length of diagonal of rectangle: $d=\sqrt{l^2+w^2}$

So, the equation will be..........

$76=\sqrt{(2x)^2+ x^2}\\ \\ 76=\sqrt{4x^2+x^2} \\ \\ 76=\sqrt{5x^2} \\ \\ 5x^2= 76^2= 5776\\ \\ x^2= \frac{5776}{5}=1155.2 \\ \\ x= \sqrt{1155.2} =33.988...$

Thus, the width of the tabletop is 33.988... inches and the length will be: (2×33.988...) = 67.976... inches.

The perimeter will be: 2(33.988...+ 67.976...) inches = 203.929... inches.

5 0

3 years ago