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3 years ago

Which statements are true about exponential decay functions? Check all that apply.

Mathematics

1 answer:

shtirl [24]3 years ago

5 0

Answer: the domain is all real numbers.

The base must be less than 1 and greater than 0.

The function has a consumer multiplicative rate of change.

Step-by-step explanation:

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Which is the approximate solution for the system of equations 3x+4y=2 and 4x+y=-4

harina [27]

$3x+4y=2\qquad\text{subtract 3x from both sides}\\\\4y=-3x+2\qquad\text{divide both sides by 4}\\\\y=-\dfrac{3}{4}x+\dfrac{2}{4}\to y=-\dfrac{3}{4}x+\dfrac{1}{2}\\\\for\ x=0\to y=-\dfrac{3}{4}(0)+\dfrac{1}{2}=0+\dfrac{1}{2}=\dfrac{1}{2}\to\left(0,\ \dfrac{1}{2}\right)\\\\for\ x=2\to y=-\dfrac{3}{4}(2)+\dfrac{1}{2}=-\dfrac{3}{2}+\dfrac{1}{2}=-\dfrac{2}{2}=-1\to(2,\ -1)\\--------------------------------\\$

$4x+y=-4\qquad\text{subtract 4x from both sides}\\\\y=-4x-4\\\\for\ x=0\to y=-4(0)-4=0-4=-4\to(0,\ -4)\\\\for\ x=-1\to y=-4(-1)-4=4-4=0\to(-1,\ 0)\\\\Answer:\ \boxed{A.\ (-1.4,\ 1.5)}$

6 0

3 years ago

Read 2 more answers

On Monday, Lou drives his ford escort with 28-inch tires, averaging x miles per hour. On Tuesday, Lou switches the tires on his

weeeeeb [17]

Answer:

$\% Change = \frac{|28-32|}{32} *100 = 12.5\%$

(B) Decrease by 12.5%

Step-by-step explanation:

For this case we know that the revolution is proportional to the circumference.

And we know that the average number of revolutions of 32 inch tires for Tuesday is higher than the original value of 28 inch tires for Monday.

We know that we have x mi/hr, so we can select a value fo x in order to find the average revolutions with the following formula:

$Avg = \frac{x}{mi}$

Let's say that we select a value for x for example x= 28*32 = 896, since this value is divisible by 32 and 28.

If we find the average revolutions per each case we got:

Tuesday:

$Avg = \frac{896}{32}=28$

Monday:

$Avg = \frac{896}{28}=32$

And then we can find the % of change like this:

$\% Change= \frac{|Final-Initial|}{Initial} *100$

And if we replace we got:

$\% Change = \frac{|28-32|}{32} *100 = 12.5\%$

Because we are assuming that the initial amount is the value for Monday and the final value for Tuesday.

So then the best answer for this case would be:

(B) Decrease by 12.5%

3 0

3 years ago

A new Community Sport complex is being built in safe harbor the perimeter of the rectangular playing field is 402 yards the leng

ivanzaharov [21]

Answer:

<h2>length = 159 yards</h2><h2>width = 42 yards</h2>

Step-by-step explanation:

Perimeter of a rectangle = 2l + 2w

where

l is the length

w is the width

From the question

Perimeter = 402 yards

The statement

the length of the field is 9 yards less than quadruple the width is written as

l = 4w - 9

Substitute this is expression into the above formula and solve for the width

That's

402 = 2( 4w - 9) + 2w

402 = 8w - 18 + 2w

10w = 402 + 18

10w = 420

Divide both sides by 10

Substitute this value into l = 4w - 9

That's

l = 4(42) - 9

l = 168 - 9

Therefore

length = 159 yards

width = 42 yards

Hope this helps you

3 0

4 years ago

I need help one all of these questions please help please it due today please

GrogVix [38]

Answer:

jsut do it by your self

Step-by-step explanation:

7 0

3 years ago

The graph of the function f(x)=x2+12 is shown which stamen te describe the graph Check all that apply

MrMuchimi

I am sorry but I don’t know

8 0

2 years ago