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nekit [7.7K]
3 years ago
13

The graphs of ​ f(x)=2x+4 ​ and ​ g(x)=10−4x ​ intersect at (1, 6) .

Mathematics
2 answers:
iren [92.7K]3 years ago
8 0
2x+4=10-4x

-2x+4=10

-2x=6

X=-3
Sophie [7]3 years ago
8 0

The other answer is wrong, here's the correct one!

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A metal plate is 8.431 centimeters wide. Which is this measure written in word form?
vagabundo [1.1K]

Answer:

Eight and one hundred thirty-four thousandths

Step-by-step explanation:

Thats how u write it in word form! i hope this helped :)

6 0
3 years ago
WORTH 50! WILL AWARD BRAINLIEST! PLEASE SHOW STEPS! THANK YOU!
yanalaym [24]

Answer:

x = 45

Step-by-step explanation:

Re-order terms so constants are on the left
15 * x/9 - 42 =28

Combine multiplied terms into a single fraction
15x/9 - 42 = 28

Cancel terms that are in both the numerator and denominator
5x/3 - 42 = 28


4 0
2 years ago
Alex is practicing his dives at a pool. He dives from a dividing board that is 21 feet above the surface of the water. His dive
leonid [27]

Answer:

NO. Alex was wrong.  

The total dive distance is 21 + 17 = 38 feet

Step-by-step explanation:

Alex was wrong because his direction of diving is from above the water through the surface of the water to under the water.

So his direction of travelling is not opposite but the same.

Therefore the total distance traveled by Alex = distance traveled from the diving board to the water surface + distance traveled from the water surface to down below the water  

Distance traveled from the diving board to the water surface = 21 feet

Distance traveled from the water surface down below the water = 17 feet  

Total distance traveled by Alex = 21 feet + 17 feet

   = 38 feet.

Thus, Alex was wrong because the the total distance traveled by Alex was 38 feet.

6 0
3 years ago
An amusement park would like to determine if they want to add in a new roller coaster. In order to decide whether or not they sh
Rzqust [24]

Using the z-distribution, it is found that the 90% confidence interval is given by: (0.6350, 0.6984).

<h3>What is a confidence interval of proportions?</h3>

A confidence interval of proportions is given by:

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which:

  • \pi is the sample proportion.
  • z is the critical value.
  • n is the sample size.

In this problem, we have a 90% confidence level, hence\alpha = 0.9, z is the value of Z that has a p-value of \frac{1+0.9}{2} = 0.95, so the critical value is z = 1.645.

The sample size and the estimate are given by:

n = 600, \pi = \frac{400}{600} = 0.6667

Hence, the bounds of the interval are given by:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6667 - 1.645\sqrt{\frac{0.6667(0.3333)}{600}} = 0.6350

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6667 + 1.645\sqrt{\frac{0.6667(0.3333)}{600}} = 0.6984

The 90% confidence interval is given by: (0.6350, 0.6984).

More can be learned about the z-distribution at brainly.com/question/25890103

#SPJ1

5 0
2 years ago
APT4PTO
inysia [295]

Answer:

  1536 square inches

Step-by-step explanation:

In units of 5 feet, the backdrop is 3 units wide and 2 units high, for a total area of 3×2 = 6 square units.

Those same units on the scale drawing are each 16 inches. One square unit on the scale drawing is (16 in)² = 256 in². So, 6 of them have an area of ...

  6 × 256 in² = 1536 in²

6 0
3 years ago
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