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ziro4ka [17]
3 years ago
5

Solve the following system of equations. Express your answer as an ordered pair in the format (a,b), with no spaces between the

numbers or symbols. 3x+4y=17 -4x-3y= -18​
Mathematics
1 answer:
solong [7]3 years ago
6 0

Answer:(3,2)

Step-by-step explanation:

You might be interested in
The number of bacteria after t hours is given by N(t)=250 e^0.15t a) Find the initial number of bacteria and the rate of growth
Art [367]

Answer:

a) N_0=250\; k=0.15

b) 334,858 bacteria

c) 4.67 hours

d) 2 hours

Step-by-step explanation:

a) Initial number of bacteria is the coefficient, that is, 250. And the growth rate is the coefficient besides “t”: 0.15. It’s rate of growth because of its positive sign; when it’s negative, it’s taken as rate of decay.

Another way to see that is the following:

Initial number of bacteria is N(0), which implies t=0. And N(0)=N_0. The process is:

N(t)=250 e^{0.15t}\\N(0)=250 e^{0.15(0)}\\ N_0=250e^{0}\\N_0=250\cdot1\\ N_0=250

b) After 2 days means t=48. So, we just replace and operate:

N(t)=250 e^{0.15t}\\N(48)=250 e^{0.15(48)}\\ N(48)=250e^{7.2}\\N(48)=334,858\;\text{bacteria}

c) N(t_1)=4000; \;t_1=?

N(t)=250 e^{0.15t}\\4000=250 e^{0.15t_1}\\ \dfrac{4000}{250}= e^{0.15t_1}\\16= e^{0.15t_1}\\ \ln{16}= \ln{e^{0.15t_1}} \\  \ln{16}=0.15t_1 \\ \dfrac{\ln{16}}{0.15}=t_1=4.67\approx 5\;h

d) t_2=?\; (N_0→3N_0 \Longrightarrow 250 → 3\cdot250 =750)

N(t)=250 e^{0.15t}\\ 750=250 e^{0.15t_2} \\ \ln{3} =\ln{e^{0.15t_2}}\\ t_2=\dfrac{\ln{3}}{0.15} = 2.99 \approx 3\;h

6 0
3 years ago
Help with this question
wlad13 [49]
<h3>A.</h3>

See below for a graph

<h3>B.</h3>

The inverse of a function appears on a graph as the reflection of the function across the line y=x. This is because the inverse relation is effectively the same relation with the variables x and y swapped. Here, the graphs of f(x) and g(x) are mirror images of each other across the line y=x, so we can see they are inverse functions.

The same technology allows us to graph y=f(g(x)) and y=g(f(x)). Both are graphs of y=x, as expected.

7 0
3 years ago
0.193 ? 0.65<br>A. &lt;<br>B. =<br>C. &gt;​
Leviafan [203]

Answer:

A

Step-by-step explanation:

The answer is A, reason why is because if you add a 0 to the end of the number 0.65, the problem would then say; 0.193 < 0.650. So, if you take off the 0. on the front of both decimals it would then say 193 < 650 and 650 is greater than 193.

4 0
3 years ago
Is the correct answer A?
LenKa [72]
Yes the answer is option A
8 0
3 years ago
A shoe store has a pair of shoes that originally cost eighty dollars. Match the expression to find each markup or discount by dr
irina1246 [14]

Step-by-step explanation:

always remember some basic principles when dealing with percentages :

100% is the whole

1% = 100%/100

n% = n×1% = n×100%/100

therefore, n% of an amount m is n/100 × m.

like 25% = 25/100 × m = 0.25 × m

so, now it should be very easy :

the 25% discount of $80 is

0.25×80

the amount deducted by (= after) the discount is

80 - 0.25×80

which is actually 0.75×80

a markup is added into the total cost incurred by the producer of a good or service in order to cover the costs of doing business and create a profit. so, a markup of 40% is simply again

0.40×80

and the sale price including (= after) the markup is then

80 + 0.40×80

3 0
2 years ago
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