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3 years ago

Help....i don't remember even going over this at all.

Mathematics

1 answer:

Veseljchak [2.6K]3 years ago

8 0

Answer: Choice A)

Set A is an exponential function and the values increase at a faster rate than Set B.

======================================================

Explanation:

Focus on Set A. Each time x goes up by 1, y goes up by a factor of 10. In other words, the y value is being multiplied by 10.

10*10 = 100
100*10 = 1,000
1,000*10 = 10,000
10,000*10 = 100,000

etc

This strongly implies that we're dealing with an exponential function. The equation for this function is y = 10^x.

Plug in x = 1 and you should get y = 10. Repeat for x = 2 and it should lead to y = 100. This helps confirm we have the correct function.

On the other hand, Set B deals with a linear equation which is y = 50x+950. The slope 50 is the amount we're increasing y each time x goes up by 1. If you plug x = 1 into this, you should get y = 1000. Plug in x = 2 and it leads to y = 1050, and so on.

When comparing exponential growth rates versus linear growth rates, the exponential will be faster. This is true even if you have a very small exponential growth rate. At some point, the exponential will overtake the linear. The linear growth rate is some constant value that never changes. The exponential growth rate increases over time. Think about simple interest versus compound interest and that may be a good example to go over.

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Veronica got 3 times as many gifts as Natalie. Together Veronica and Natalie got a total of 12 gifts how many gifts did Natalie

fenix001 [56]

The equation we'll use for this is:Total Gifts = Veronica's Gifts (v) + Natalie's Gifts (n).
12 = v + n
The problem says Veronica got 3 times as many gifts as Natalie.
You can directly translate this into an equation!
v = 3 * n = 3n. This means we can replace any v with 3n.
So, 12 = v + n = 3n + n = 4n
12 = 4n
3 = n. Natalie got 3 gifts.
We can now plug back in for Veronica's gifts:
v = 3n
v = 3(3)
v = 9. Veronica got 9 gifts.

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3 years ago

Your bank account balance is -$20.85. You deposit the $15.50. What is your new balance?

kvv77 [185]

Answer:

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Step-by-step explanation:

-20.85

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this helps with the problem

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2 years ago

Find the length of AB

aniked [119]

FIRST QUESTION
Given points are:
A(2, -4) and B(6, 2)
Now, Use the distance formula.
distance formula = $\sqrt{ (x_{2}- x_{1})^{2} + ( y_{2} - y_{1} )^{2} }$

Now, plug the values into the formula, So,
distance = $\sqrt{ (6- 2)^{2} + ( 2 - (-4))^{2} }$

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= $\sqrt{ 16+36}$

= $\sqrt{52}$

= $2 \sqrt{13}$

So, the length of AB is $2 \sqrt{13}$ .

THIRD QUESTION
Two points given are:
A(3, -2) and B(1, 1)
Also given that B is the midpoint of AC.

Let, the co-ordinates of C be C(a, b).
Now, using midpoint formula,
Midpoint = $(\frac{ x_{1}+ x_{2} }{2} , \frac{ y_{1}+ y_{2} }{2} )$

$(1, 1)=(\frac{ 3+ a }{2} , \frac{ -2+b }{2} )$

Now, equaling the ordered pair, we have,

$1=\frac{ 3+ a }{2}$ .............equation (1)

$1=\frac{ -2+b }{2}$ ................equation (2)

Now, taking equation (1)
$1=\frac{ 3+ a }{2}$

$1*2=3+a$

$2-3=a$

$a=-1$

Now, taking equation (2)
$1=\frac{ -2+b }{2}$

$1*2=-2+b$

$2+2=b$

$b=4$

So, the co ordinates of C are (a, b) which is (-1 , 4)


SECOND QUESTION:
Given equations are:
2x + 3y = 14.....................equation (1)
-4x + 2y = 4 .....................equation (2)
Taking equation (2)
-4x + 2y = 4
2y = 4 + 4x
y = (4 + 4x) / 2
y = 2 + 2x .......................equation (3)
Now, Taking equation (1)
2x + 3y = 14
Substituting the value of y from equation (3), we get,
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x = (14 - 6) / 8
x = 1

Taking equation (3)
y = 2 + 2x
Now, substituting the value of x in equation (3), we get,
y= 2 + 2 (1)
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So, x=1 and y=4

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Sphinxa [80]

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3 years ago