Rate of growth if y=1.1(1.22)^x

Will mark as brainliest if correct

stellarik [79]

Answer:

-2/3

Step-by-step explanation:

The only way the answer could be one is if the exponent is 0

So 3x-2=0:

3x = -2

x = -2/3

Hope this helps!

8 0

4 years ago

What is the equation of the line with a slope of 3/4 that goes through the point (4, 1) in slope-intercept form?

Svetach [21]

Answer:

$y=\frac{3}{4}x+-2$

Step-by-step explanation:

We do not have enough information for slope intercept form. But we can use the point-slope formula to find the information. The formula is $y -y_{1} =m(x -x_{1})$ where we substitute a point (x,y) for $(x_{1},y_{1})$ .

We have m=3/4 and (4, 1). We input m and $x_{1} =4\\y_{1}=1$ .

$y-1=\frac{3}{4} (x-4)$

We now simplify the parenthesis and solve for y.

$y-1=\frac{3}{4} (x-4)\\y-1=\frac{3}{4}x+\frac{3}{4} (-4)$

We convert -4 into a fraction with 1 as the denominator.

$y-1=\frac{3}{4}x+\frac{3}{4} (\frac{-4}{1} )\\y-1=\frac{3}{4}x+\frac{-12}{4}\\y-1=\frac{3}{4}x+-3$

We add 1 to both sides to isolate y,

$y-1+1=\frac{3}{4}x+-3+1\\y=\frac{3}{4}x+-2$

This is slope intercept form. The line as slope 3/4 and y-intercept (0,2) or b=2.

4 0

4 years ago

The total length of pencils A, B and C is 29 cm. Pencil a is 11 cm shorter then pencil B, and pencil B is twice as long a pencil

satela [25.4K]

The length of pencil A is 5 cm

Solution:

Let the length of pencil A be "x"

Let the length of pencil B be "y"

Let the length of pencil C be "z"

The total length of pencils A, B and C is 29 cm

Therefore,

length of pencil A + length of pencil B + length of pencil C = 29

x + y + z = 29 ------------ eqn 1

Pencil A is 11 cm shorter then pencil B

x = y - 11 ------- eqn 2

Pencil B is twice as long a pencil C

y = 2z

$z = \frac{y}{2}$ ------ eqn 3

Substitute eqn 2 and eqn 3 in eqn 1

$y - 11 + y + \frac{y}{2} = 29\\\\2y + \frac{y}{2} = 29 + 11\\\\\frac{4y+y}{2} = 40\\\\5y = 80\\\\y = 16$

Substitute y = 16 in eqn 2

x = 16 - 11

x = 5

Thus length of pencil A is 5 cm

5 0

3 years ago

How many pairs of whole numbers can you find that have a sum of 12

HACTEHA [7]

I can find six pairs.

7 0

3 years ago

Solve the system of equations -5x+13y+-7 5x+4y=24 y= x=

aleksklad [387]

<h3>The value of y is equal to 1.</h3><h3>The value of x is equal to 4.</h3>

Because both equations have a term that will cancel out if they're added together, we're going to add both equations together.

-5x + 5x = 0

13y + 4y = 17y

-7 + 24 = 17

17y = 17

Divide both sides by 17.

y = 1

Now that we have a constant value of y, we can solve for x.

-5x + 13(1) = -7

-5x + 13 = -7

Subtract 13 from both sides.

-5x = -20

Divide both sides by -5.

x = 4

3 0

3 years ago

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