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Anika [276]
3 years ago
8

10+4x =12+3x How is this solved?

Mathematics
2 answers:
soldier1979 [14.2K]3 years ago
8 0

Answer:

x=2

Step-by-step explanation:

  1. 10+4x=12+3x
  2. 10+4x-3x=12+3x-3x
  3. 10+x=12
  4. 10+x-10=12-10
  5. x=2

<u><em>FINAL ANSWER</em></u>

<em>x=2</em>

Alex_Xolod [135]3 years ago
4 0

Answer:x=2

Step-by-step explanation:

10+4x=12+3x

10+4x-10=12+3x-10

4x=3x+2

4x-3x=3x+2-3x

x=2

I hope i help you!

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An unprepared student makes random guesses for the ten​ true-false questions on a quiz. Find the probability that there is at le
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Answer:

0.999

Step-by-step explanation:

At least 1 correct means, 1 correct, 2 correct, 3 correct ... until 10 correct. That would be a long process to calculate.

<em>Instead we use the complement rule to calculate.</em>

<em>P(x\geq1)=1-P(x</em>

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<em>So we need to find P(x<1). So this is getting 0 answers correct, or 10 incorrect.</em>

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In true false question, probablity of correct is 1/2 and incorrect is 1/2, hence,

Probability of 10 incorrect is (1/2)^10

Thus,

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A tunnel is built in form of a parabola. The width at the base of tunnel is 7 m. On
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Given:

The width at the base of parabolic tunnel is 7 m.

The ceiling 3 m from each end of the base there are light fixtures.

The height to light fixtures is 4 m.

To find:

Whether it is possible a trailer truck carrying cars is 4 m wide and 2.8 m high is going to drive through the tunnel.

Solution:

The width at the base of tunnel is 7 m.

Let the graph of the parabola intersect the x-axis at x=0 and x=7. It means x and (x-7) are the factors of the height function.

The function of height is:

h(x)=ax(x-7)             ...(i)

Where, a is a constant.

The ceiling 3 m from each end of the base there are light fixtures and the height to light fixtures is 4 m. It means the graph of height function passes through the point (3,4).

Putting x=3 and h(x)=4 in (i), we get

4=a(3)((3)-7)

4=a(3)(-4)

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Putting a=-\dfrac{1}{3}, we get

h(x)=-\dfrac{1}{3}x(x-7)              ...(ii)

The center of the parabola is the midpoint of 0 and 7, i.e., 3.

The width of the truck is 4 m. If is passes through the center then the truck must m 2 m on the left side of the center and 2 m on the right side of the center.

2 m on the left side of the center is x=1.5.

A trailer truck carrying cars is 4 m wide and 2.8 m high is going to drive through the tunnel is possible if h(1.5) is greater than 2.8.

Putting x=1.5 in (ii), we get

h(1.5)=-\dfrac{1}{3}(1.5)(1.5-7)

h(1.5)=-(0.5)(-5.5)

h(1.5)=2.75

It is clear that h(1.5)<2.8, therefore the trailer truck carrying cars is 4 m wide and 2.8 m high is going to drive through the tunnel is not possible.

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Answer:

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