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3 years ago

Solve for m 18 - 4m = 6 - 16m

Mathematics

2 answers:

leva [86]3 years ago

5 0

Answer: m=-1

Step-by-step explanation:

Tanya [424]3 years ago

4 0

Answer:

m = -1

Step-by-step explanation:

18 - 4m = 6 - 16m

18 - 6 = 4m - 16m

12 = -12m

m = 12 / -12

m = -1

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How many real solutions does this system of equations have? x^2 + y^2 = 36

Vinvika [58]

Answer:

C: there are two real solutions

Step-by-step explanation:

x^2 + y^2 = 36 is the equation of a circle centered at the origin and with radius √36, or 6. Even a rough sketch of this circle would enable you to visualize what is happening here.

3x – y + 1 = 0 may be solved for y: y = 3x + 1. The y-intercept of this straight line is (0, 1). Plot this point inside the circle of radius 6 mentioned above and then draw a straight line with slope m = 3 through it. This line will intersect the circle in two places; they represent real solutions.

Alternatively, substitute 3x + 1 for y in x^2 + y^2 = 36:

x^2 + (3x + 1)^2 = 36, or

x^2 + 9x^2 + 6x + 1 = 36, or

10 x^2 + 6x + 1 - 36 = 0, or

10 x^2 + 6x - 35 = 0. This is a quadratic equation. We'll use the quadratic formula to find solutions which represent the intersections of this line with this circle:

The coefficients are a = 10, b = 6 and c = -35. Thus, the discriminant is

b^2 - 4ac, or 6^2 - 4(10)(-35), or 1436.

Because the discriminant is positive, we can safely conclude that there are two real solutions, that is, two different, real x-values, each representing the x-coordinate of a point of intersection of the circle and the line.

The correct answer to this prolem is C: there are two real solutions.

4 0

4 years ago

Suppose a baseball team has 14 players on the roster who are not members of the pitching staff. Of those 14 players, assume that

Nadusha1986 [10]

Answer: Our required probability would be 0.70.

Step-by-step explanation:

Since we have given that

Number of players = 14

Number of players have recently taken a performance enhancing drug = 3

Number of players have not recently taken a performance enhancing drug = 14-3=11

Number of members chosen randomly = 5

We need to find the probability that at least one of the tested players is found to have taken a performance enhancing drug.

P(Atleast 1) = 1 - P(none is found to have taken a performance enhancing drug)

So, P(X≥1)=1-P(X=0)

$P(X\geq 1)=1-^5C_0(\dfrac{11}{14})^5\\\\P(X\geq 1)=1-(0.786)^5\\\\P(X\geq 1)=0.70$

Hence, our required probability would be 0.70.

7 0

3 years ago

(-4) + 8 = -10 + 12 9 +(-3) (+3) + (-3) 5 +(-2) (-18) + 9 25 + (-30)

Alex Ar [27]

Step-by-step explanation:

4
2
6
0
3
-9
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all these are the answers of your question

hope it is helpful to you

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3 years ago

Evaluate A 2 - B 2 for A = 4 and B = -5.

nikdorinn [45]

8+-10=-2 you multiply and combine the variables and numbers.

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4 years ago

4. 30% to 50% of the money is for frozen food, a

strojnjashka [21]

Answer:

Step-by-step explanation:

It said the greatest amount,

So change 50% to .50

120x.50=60

8 0

3 years ago