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2 years ago

There are two approaches to solving the equation -3x + 10 = 4x - 20

Mathematics

2 answers:

pashok25 [27]2 years ago

4 0

Answer:

X =30/7

Step-by-step explanation:

The first way would be something like:

-7x + 10 = -20. The first thing we would do is to subtract 10 from both sides.

Therefore,

-7x+10-10=-20-10

Simplified, we get

-7x=-30

Remove the negative symbols

7x =30

x=30/7

Second example:

10=7x - 20

Add 20 to both sides.

10+20=7x-20+20

Simplified,

30=7x

x = 30/7

Georgia [21]2 years ago

3 0

Answer:

What is the solution?

✔ x = 30/7

Step-by-step explanation:

You can take this equation into two approaches.

#1 subtracting 4x from both sides:

-3x+10=4x-20 (subtract 4x from each side)

-7x+10=-20 (then subtract 10 from each side)

-7x=-30 (then divide by -7 to get x by itself)

x=30/7

#2 Add 3x to both sides:

-3x+10=4x-20 (Add 3x to both sides)

10=7x-20 (then add 20 to each side)

30=7x (divide both sides by 7)

30/7=x

Either way you do it you will get x=30/7 as your answer.

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How many triangles can be constructed with sides measuring 15 cm, 7 cm, and 5 cm? none more than one one

IrinaK [193]

<h3>Answer: one</h3>

Reason:

The SSS (side side side) congruence rule says that two triangles are congruent if we have three pairs of sides that are the same length. Any triangle you construct that has side lengths 15, 7, and 5 will be congruent to the original triangle by the SSS rule. You may have to translate, rotate or reflect the second triangle so that it lines up perfectly with the first triangle.

Alternatively, consider triangle ABC that is the given triangle. Let AB = 15, BC = 7, and AC = 5. Then consider another triangle DEF such that DE = 15, EF = 7, and DF = 5. It is possible to do a series of translations, rotations, or reflections such that we get triangle DEF to overlap triangle ABC perfectly.

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3 years ago

Read 2 more answers

Using 4 equal-width intervals, show that the trapezoidal rule is the average of the upper and lower sum estimates for the integr

prisoha [69]

Split up the interval [0, 2] into 4 subintervals, so that

$[0,2]=\left[0,\dfrac12\right]\cup\left[\dfrac12,1\right]\cup\left[1,\dfrac32\right]\cup\left[\dfrac32,2\right]$

Each subinterval has width $\dfrac{2-0}4=\dfrac12$ . The area of the trapezoid constructed on each subinterval is $\dfrac{f(x_i)+f(x_{i+1})}4$ , i.e. the average of the values of $x^2$ at both endpoints of the subinterval times 1/2 over each subinterval $[x_i,x_{i+1}]$ .

So,

$\displaystyle\int_0^2x^2\,\mathrm dx\approx\dfrac{0^2+\left(\frac12\right)^2}4+\dfrac{\left(\frac12\right)^2+1^2}4+\dfrac{1^2+\left(\frac32\right)^2}4+\dfrac{\left(\frac32\right)^2+2^2}4$

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2 years ago

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Given options regarding sample sizes.

We have to choose the correct option which shows the sample mean characteristics when the distribution is unknown.

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The central limit theorem is said to be true when n greater than or equal to 30.

When n is greater than 30 ,z test is used, when n is less than 30 ,t test is used.

Hence for a population where the distribution is unknown ,the sampling distribution of the sample mean will be approximately normal for all sample sizes.

Learn more about sample at brainly.com/question/24466382

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Question is incomplete as it includes options in a right way:

1)exactly normal for large sample,

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2 years ago

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Answer:

Step-by-step explanation:

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Hope this helps!

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2 years ago

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viva [34]

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Hope this helps! Have a good day :)

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