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Grace [21]
3 years ago
5

Which situation best describes this function?

Mathematics
1 answer:
stiks02 [169]3 years ago
8 0

Answer:

C

Step-by-step explanation:

Since it is an exponential function, there is no way that it could be increasing at a steady pace, like adding 248 each time, since that would create a linear function ( a line.) The numbers are increasing each year, not decreasing.

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factorise the following 1. x²-2x+15.... 2. y²-19y+90​
Marta_Voda [28]

Answer:

1. x²-2x+15

This can't be factored, I've tried multiple ways now, but it just can't be factored.

2. y²-19y+90​

Let's factor y^2−19y+90

y^2−19y+90

The middle number is -19 and the last number is 90.

Factoring means we want something like

(y+_)(y+_)

Which numbers go in the blanks?

We need two numbers that...

   Add together to get -19

   Multiply together to get 90

Can you think of the two numbers?

Try -9 and -10:

   -9+-10 = -19

   -9*-10 = 90

Fill in the blanks in

(y+_)(y+_)

with -9 and -10 to get...

(y-9)(y-10)

Answer:

(y−9) (y−10)

3 0
2 years ago
The graph of function g is a vertical stretch of the graph of function f ​​by a factor of 3. Which equation describes function g
anyanavicka [17]

Answer:


Step-by-step explanation:

A vertical stretch by a factor of k means that the point (x, y) on the graph of f (x) is transformed to the point (x, ky) on the graph of g(x), where k <1.

If k =1, then same graph we obtain and if k>1 we get a vertically shrink graph.

In our question, there is a vertical stretch of 3. This means new graph would have points as (x,y/3)

i.e. instead of f(x) = y, we have now f(x) = y/3

So transformation is g(x) = 3f(x)

Option A is correct.

2) Here f(x) = 3x+8 is transformed to g(x) =3x+6

i.e. y intercept is reduced by 2 units.  Hence there is a translation of 2 units down.


8 0
3 years ago
Read 2 more answers
Determine the equation of a perpendicular line to y= -3/5x + 14, y-intercept 8
lana66690 [7]

9514 1404 393

Answer:

  y = 5/3x +8

Step-by-step explanation:

The slope of the perpendicular line is the opposite reciprocal of the slope of the given line. The given slope is -3/5, so the perpendicular slope is ...

  -1/(-3/5) = 5/3

That and the given y-intercept can be put into the slope-intercept equation ...

  y = mx + b . . . . . line of slope m and y-intercept b

  y = 5/3x + 8

3 0
3 years ago
Can someone explain how to do this?
Over [174]

Answer:

Step-by-step explanation:

The two legs of an iscosles right triangle are equal. The sides opposite each 45 degree angle are equal.  

6^2 + 6^2 = x^2

36 + 36 = x^2

x^2 = 72

sqrt(x^2) = sqrt(72)

x = 6√2

3 0
3 years ago
If I set aside $5,000 in the bank to earn 6% annually, how much would I have after 5 years?
aleksley [76]

Answer:

$1,500

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
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