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monitta
3 years ago
15

Maria bought 1 eraser, 1 pen and 2 pencils at the school shop. The eraser coast $0.90, the pen coast $1.45 and the pencils each

coast $0.65. If she paid a twenty dollar bill, how much change would she get back? $4.15 $0.60 $0.95 $16.36 $14.25 $6.95 $2.35 $2.05 $5.55 $1.35
Mathematics
1 answer:
KiRa [710]3 years ago
6 0

Answer:

$16.35

Step-by-step explanation:

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If you get the answer right then I’ll mark brainlist.
galina1969 [7]

Answer:

<em>y</em> = -2

<em>x</em> = -2

Step-by-step explanation:

Both <em>x </em>and <em>y </em>equal -2 in the table.

6 0
3 years ago
2. The functions ???? and ???? represent the population of two different kinds of bacteria, where x is the time (in hours) and ?
klio [65]

Answer:

(a) Bacterial 1 had a faster rate of growth.

(b) The population of f(x) always exceed the population of g(x). In other words, population of g(x) cannot exceed the population of f(x).

Step-by-step explanation:

Consider the given functions are

f(x)=2x^2+7

g(x)=2x

where, x is the time (in hours) and f(x) and g(x) are the number of bacteria (in thousands).

(a)

The rate of change of a function f(x) on [a,b] is

m=\frac{f(b)-f(a)}{b-a}

Rate of change between third and sixth hour of first function is

m_1=\frac{f(6)-f(3)}{6-3}

m_1=\frac{(2(6)^2+7)-(2(3)^2+7)}{6-3}

m_1=\frac{79-25}{3}

m_1=\frac{54}{3}

m_1=18

Rate of change between third and sixth hour of second function is

m_2=\frac{g(6)-g(3)}{6-3}

m_2=\frac{2(6)-2(3)}{6-3}

m_2=\frac{12-6}{3}

m_2=\frac{6}{3}

m_2=2

Since m_1>m_2, therefore bacterial 1 had a faster rate of growth.

(b)

The initial population of f(x) is 7 and it increases exponentially.

The initial population of g(x) is 0 and it increases linearly.

It means population of f(x) always exceed the population of g(x).

In other words, population of g(x) cannot exceed the population of f(x).

8 0
3 years ago
Assume you are working with a standard deck of 52 cards. There are 13 cards (2, 3, 4, 5, 6, 7, 8, 9, 10, jack, queen, king, and
NemiM [27]

Answer:

P(9\cup queen)=\frac{2}{13}

Step-by-step explanation:

Total number of cards=52

Total cards of 9=4(1\ club,1\ diamond,1\ heart,1\ spades)

Total cards of Queen=4(1\ club,1\ diamond,1\ heart,1\ spades)

Total number of elements in 9\cup Queen=8

P(9\cup queen)=\frac{elements\ in\ 9\cup queen}{Total\ number\ of\ elements}\\\\P(9\cup queen)=\frac{8}{52}=\frac{2}{13}

7 0
3 years ago
Write an equation in slope-intercept form of the line that passes through the given points
Elis [28]

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

3 0
3 years ago
) Find the distance between the boll<br>-owing pairs of points<br>i) (2, 3) and (41)​
PolarNik [594]

[I took this from the internet, but hope it helps!]

4 0
3 years ago
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