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Romashka [77]
3 years ago
13

What is the equation of the line that is parallel to the line 5x + 2y = 12 and passes through the point (-3, 2)

Mathematics
1 answer:
qwelly [4]3 years ago
7 0
2y = 12 - 5x
y = 6 - 5/2x

2 = -5/2(-3) + b
2 = 15/2 + b
2 - 15/2 = b
b = -11/2

y = 15/2x - 11/2
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Indigo Depot is having a clearance sale of their fall items. A jacket that originally cost $120 before any discount is on sale f
Sauron [17]

Answer:

The final price is $66.

Step-by-step explanation:

This question can be solved by a rule of three.

The initial price was of $120.

Initially, there was a discount of 15%. Then, there is another discount on the initial price. So the total discount is of 15+30 = 45%.

So the final price will be 100-45 = 55% = 0.55 of the initial price.

So

$120 - 1

x - 0.55

x = 0.55*120 = 66

The final price is $66.

5 0
3 years ago
If the table represents a linear function, what's the missing value of y?
Svetach [21]
C) 13

The y value adds one by every x; therefore 4 would be 13.
3 0
3 years ago
The population of Henderson City was 3,381,000 in 1994, and is growing at an annual rate 1.8%
liq [111]
<h2>In the year 2000, population will be 3,762,979 approximately. Population will double by the year 2033.</h2>

Step-by-step explanation:

   Given that the population grows every year at the same rate( 1.8% ), we can model the population similar to a compound Interest problem.

   From 1994, every subsequent year the new population is obtained by multiplying the previous years' population by \frac{100+1.8}{100} = \frac{101.8}{100}.

   So, the population in the year t can be given by P(t)=3,381,000\textrm{x}(\frac{101.8}{100})^{(t-1994)}

   Population in the year 2000 = 3,381,000\textrm{x}(\frac{101.8}{100})^{6}=3,762,979.38

Population in year 2000 = 3,762,979

   Let us assume population doubles by year y.

2\textrm{x}(3,381,000)=(3,381,000)\textrm{x}(\frac{101.8}{100})^{(y-1994)}

log_{10}2=(y-1994)log_{10}(\frac{101.8}{100})

y-1994=\frac{log_{10}2}{log_{10}1.018}=38.8537

y≈2033

∴ By 2033, the population doubles.

4 0
3 years ago
será que me pueden ayudar con las siguiente ecuaciones y con verificación por favor gracias son 8 ecuaciones 1) 3x+7=-5 2) 4=3x+
Musya8 [376]

Answer:

see below

Step-by-step explanation:

1. 2+5x=4x+7

5x-4x=7-2

x=5

2. 4x-5=1+3x

4x-3x=1+5

x=6

3. 8-5x-4=-6x+6

-5x+6x=6-8+4

x=2

4. 4x+8+2x=5x-1

6x-5x=-1-8

x= -9

7 0
3 years ago
When the value of t is 60, the value of c is 90 . Explain what this means using the problem context.
andrey2020 [161]

Answer:

Step-by-step explanation:

as the temp t increases the number of cricket chirps also increases.

3 0
3 years ago
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