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Otrada [13]
3 years ago
12

Exercise #1: The amount of money in Nicole's bank account can be represented by the function f(x) = 32.50x + 200,

Mathematics
1 answer:
kolezko [41]3 years ago
7 0
The initial amount in the account was $200 (y intercept). She adds $32.50 each day to her bank account (slope).
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Graph the line that passes through the points (9,-8) and (9,6) and determine the
avanturin [10]

Answer:

<em>x = 9</em>

Step-by-step explanation:

The standard form of equation of a line is expressed as y = mx+c

m is the slope

c is the y intercept

Note that the line does not have a slope and the x intercept of the line is a point where the line cuts the x axis. Hence the equation of the line will be expressed as x = c where c is the x intercept;

<em>From the graph, the x intercept =9. Hence the equation of the given line is x = 9</em>

7 0
3 years ago
How many distinct triangles can be formed for which m∠A = 75°, a = 2, and b = 3?
antiseptic1488 [7]
We can use the Sine Law:a / sin A = b / sin B2 / sin 75° = 3 / sin B2 / 0.966 = 3 / sin B  ( after that we will cross multiply )
2 sin B = 3 · 0.9662 sin B = 2.898sin B = 2.898 : 2sin B = 1.499 > 1  ( it is not possible )Answer:  A ) No triangles can be formed.


8 0
3 years ago
Two numbers 60 and n have LCM of 420. If n is a multiple of 6 less than 90,find the possible value of n
Ber [7]
Lcm of 60 and n = 420
Stated: n <90 and a multiple of 6

420/60 = 7 thus n must be a multiple of 7
Therefore n =42 or 84
3 0
3 years ago
Which is one of the transformations applied to the graph of f(x) = x2 to change it into the graph of g(x) = –3x2 – 36x – 60?
FromTheMoon [43]

Hey There!! ☄️ The general vertex to The general vertex form is this:

v(x) = a (x-h)2 + k

where (h,k) is the coordinates of the of vertex.

and a indicates the widening or shrinking of the function compared to another parabolic function. If a become bigger, the graph becomes narrower. If a becomes negative, the graph is reflected over the x-axis.

Comparing f(x) = x2 with g(x) = -3(x+6)2 + 48, we have the following transformations:

The graph is reflected over the x-axis

The graph is made narrower.

The graph is shifted 6 units to the left.

The graph is shifted 48 units up.

From the choices we only have:

The graph of f(x) = x2 is made narrower

8 0
3 years ago
Can someone answer this please
yanalaym [24]

Answer:

x=7

Step-by-step explanation:

8x-5y=16

8x-40=16

8x=56

x=7

8 0
3 years ago
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