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3 years ago

The sum of twice a number and 6 is the same as 3 subtracted from the number itself

Mathematics

2 answers:

rusak2 [61]3 years ago

8 0

3+3=6
6-3=3
the number's 3

I am Lyosha [343]3 years ago

3 0

Answer: The required number is -9.

Step-by-step explanation: Given that the sum of twice a number and 6 is the same as 3 subtracted from the number itself.

We are to find the number.

Let x represents the given number.

Then, according to the given information, we have

$2x+6=x-3\\\\\Rightarrow 2x-x=-3-6\\\\\Rightarrow x=-9.$

Thus, the required number is -9.

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If a line has a slope of 4 and contains the point (-2, 5), what is its equation in point-slope form?

Sveta_85 [38]

Answer:

The equation of the line is y = 4x + 13

Step-by-step explanation:

In this question, we want to write the equation of the line using the point slope form.

Mathematically, the point slope form can be represented as;

(y-y1) = m(x - x1)

where x1 = -2 , y1 = 5 and m which is the slope is 4

Plugging these values into the equation, we have;

(y-5) = 4(x - (-2))

y-5 = 4(x + 2)

y -5 = 4x + 8

y = 4x + 8 + 5

y = 4x + 13

8 0

3 years ago

What is the product?

Dmitriy789 [7]

Answer:

20s^3 + 50s^2 + 32s+6

Step-by-step explanation:

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7 0

3 years ago

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Which is the correct graph of y=2/x^2-4 ?

Elis [28]

The correct graph would be the first one

6 0

2 years ago

What is the measure of RSP in the diagram below

kirill [66]

The answer would be 58 degrees. You have to add the measure of R and P, and since a triangle is a total of 180 degrees, you subtract the sum and R and P from 180 and get your answer. Hope this helps!

4 0

3 years ago

Problem PageQuestion An automobile manufacturing plant produced 34 vehicles today: 16 were motorcycles, 9 were trucks, and 9 wer

8_murik_8 [283]

Answer:

Probability that the first vehicle selected is a motorcycle and the second vehicle is a van is (24/187) or 0.1283.

Step-by-step explanation:

We are given that an automobile manufacturing plant produced 34 vehicles today: 16 were motorcycles, 9 were trucks, and 9 were vans.

Plant managers are going to select two of these vehicles for a thorough inspection. The first vehicle will be selected at random, and then the second vehicle will be selected at random from the remaining vehicles.

As we know that, Probability of any event = $\frac{\text{Favorable number of outcomes}}{\text{Total number of outcomes}}$

Now, Probability that the first vehicle selected is a motorcycle is given by;

= $\frac{\text{Number of motorcycles}}{\text{Total number of vehicles}}$

Here, Number of motorcycles = 16

Total number of vehicles = 16 + 9 + 9 = 34

So, Probability that the first vehicle selected is a motorcycle = $\frac{16}{34}$

Similarly, Probability that the second vehicle is a van is given by;

= $\frac{\text{Number of vans}}{\text{Total number of remaining vehicles}}$

Here, Number of vans = 9

And Total number of remaining vehicles after selecting one motorcycle = 34 - 1 = 33

So, Probability that the second vehicle selected is a van = $\frac{9}{33}$

Therefore, the probability that the first vehicle selected is a motorcycle and the second vehicle is a van = $\frac{16}{34}\times \frac{9}{33}$

= $\frac{24}{187}$ = 0.1283

5 0

3 years ago