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2 years ago

DON'T IGNORE

Mathematics

1 answer:

Anettt [7]2 years ago

8 0

Answer:

x<3

Step-by-step explanation:

2^x < 8.

Rewrite 8 and 2^3

2^x < 2^3

Take the log base 2 of each side

log2(2^x) < log2 (2^3)

x <3

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What is an equation of the line that passes through the points (-2,1) and (-6,-5)

KATRIN_1 [288]

Answer: y = 3/2x+4 if you need to write it in slope intercept form and please give brainliest i will appreciate it.

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2 years ago

Determine whether f(x)=5x+1/x and g(x)= x/5x+1 are inverse functions. Explain how you know.

vladimir1956 [14]

A property of inverse functions is that if f(x) = a, g(a) = x

F(x) = (5x+1)/x
G(x) = x/(5x+1)

Plug in x = 3.
F(3) = 16/3
G(16/3) = 16/83. Since it doesn’t equal 3, it’s not an inverse function

4 0

2 years ago

Read 2 more answers

At maximum speed, an airplane travels 2,400 miles against the wind in 6 hours. Flying with the wind, the plane can travel the sa

Hatshy [7]

X - y = 2400/6 = 400 where x = speed of plane and y = speed of wind.

x + y = 2400/5 = 480 - flying with the wind

adding the 2 equations
2x = 880
x = 440

Speed of the plane with no wind = 440 mph

5 0

2 years ago

Read 2 more answers

Riley is saving up to buy a new television. She needs a total of $1,049.77. Riley has saved $200.79 already and earns $77.18 per

Xelga [282]

11 weeks are required for Riley to work to save enough money to buy the new television

<h3><u>Solution:</u></h3>

Given that Riley needs a total of $1,049.77

Riley has saved $200.79 already and earns $77.18 per week at her job

To find: Number of weeks Riley need to work to save enough money to buy the new television

Remaining amount needed = $1,049.77 - $200.79

Remaining amount needed = $ 848.98

Let "n" be the number of weeks Riley need to work to save enough money to buy the new television

Also she earns $77.18 per week at her job

1 week ⇒ $ 77.18

"n" weeks ⇒ $ 848.98

Therefore, by cross multiplication,

$n \times 77.18 = 1 \times 848.98\\\\n = \frac{848.98}{77.18}\\\\n = 11$

Therefore 11 weeks are required for her to work to save enough money to buy the new television

<h3><u>Method 2:</u></h3>

<em>Total amount = amount already saved + ($77.18 per week at her job)("n" weeks)</em>

1,049.77 = 200.79 + (77.18)(n)

1049.77 - 200.79 = 77.18n

848.98 = 77.18n

$n = \frac{848.98}{77.18}$

n = 11

Therefore 11 weeks are required for her to work to save enough money to buy the new television

5 0

2 years ago

1. One week Carlos bought 3 bags of Tabitha Tidbits and 4 bags of Figaro Flakes for $43.00. The next week he bought 3 bags of Ta

d1i1m1o1n [39]

Tabitha Tidbits costs $7 per bag, and Figaro Flakes is $5.50 per bag.
You need to set up a system of equations. Use "x" for Tabitha Tidbits and "y" for Figaro Flakes, and let the total cost of each trip equal c. Using the equation ax+by=c, substitute the cost of each trip in for c, and the number of bags for each food for a and b respectively. The two equations will be:
3x+4y=43
3x+6y=54
Isolate x in the first equation and you will get:
x=(43-4y)/3
Substitute the above equation for x into the other equation:
3*((43-4y)/3)+6y=54
Isolate y in this equation, and you will get 11/2, which is 5.5
So the cost of one bag of Figaro Flakes is $5.50
Now substitute this into the equation where you isolated x:
(43-4(5.5))/3
You will get x=7, so a bag of Tabitha Tidbits is $7

3 0

2 years ago