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Aliun [14]
2 years ago
7

Y = 2x + 6. If x = 5, how much is y?

Mathematics
1 answer:
ELEN [110]2 years ago
6 0

Answer:

16

Step-by-step explanation:

Y=2(5)+6

y=10+6

Y=16

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3 years ago
What is the answer to 5m= -8 +3m
aalyn [17]
5m = -8 + 3m

2m = -8

m = -4
6 0
3 years ago
Read 2 more answers
Can someone please help
nexus9112 [7]

Answer:

They are congruent.

Step-by-step explanation:

They both are the same shape and size. The side with one line is the same on the other. The side with two lines also matches the other triangle. Lastly, they both have an angle in the same place

8 0
3 years ago
The population of a colony of mosquitoes obeys the law of uninhibited growth. If there are 1000 mosquitoes initially and there a
STatiana [176]

Answer:

24761 mosquitoes

5.4 days

Step-by-step explanation:

Let the equation that shows the population of the mosquitoes after x days,

A=P(1+r)^x

Where,

P = Initial population,

r = rate of increasing per day,

Here, A = 1000, when x = 0,

1000=P(1+r)^0\implies P = 1000

A = 1900 when x = 1,

1900 = P(1+r)^1\implies 1900 = 1000(1+r)\implies 1.9 = 1 + r\implies r = 0.9

Thus, the required function that represents the population after x days,

A=1900(1+0.9)^x=1900(1.9)^x

If x = 4,

The number of mosquito after 4 days,

A=1900(1.9)^4 = 24760.99\approx 24761

If A = 60,000,

60000 = 1900(1.9)^x

\frac{600}{19}=1.9^x

Taking log both sides,

\log(\frac{600}{19})=x\log 1.9

\implies x = \frac{\log(\frac{600}{19})}{\log 1.9}=5.378\approx 5.4

Thus, there will 60,000 mosquitoes after 5 days.

6 0
3 years ago
Solve the systems of equation by graphing (Picture provided)
11Alexandr11 [23.1K]

Answer:

Option b

Step-by-step explanation:

The following system of linear equations is shown

x + y = 8\\2x + y = 3

These are two different slope lines.

We find the cut points of both lines with the axes.

x + y = 8

Cut with the x axis. (y = 0)

x = 8

Cut with the y axis. (x = 0)

y = 8

...................................................................

2x + y = 3

Cut with the x axis. (y = 0)

2x = 3\\x = 1.5

Cut with the y axis. (x = 0)

y = 3

The solution to this system will be a point for which it is fulfilled that:

x + y - 8 = 2x + y-3

In the image, different graphs with intersections are shown.

Locate among the options, one that shows the two lines of the system of equations according to their intersections with the x and y axes.

Option b is the only one that shows the graph of the lines

x + y = 8\\2x + y = 3

Then, The point of intersection of both lines in the graph is:

(-5, 13)

Therefore the solution of the system of equations is: (-5, 13)

You can verify this by replacing the point in the relationship

x + y - 8 = 2x + y-3\\\\(-5) +13 -8 = 2 (-5) +13 -3\\\\0 = 0

Equality is satisfied

Finally the answer is the option b

8 0
3 years ago
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