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Marina CMI [18]
2 years ago
15

The graphed line shown below is y=-3x+6...Which equation, when graphed with the given equation, will form a system that has no s

olution?​
Mathematics
1 answer:
trasher [3.6K]2 years ago
6 0

Answer:

The equation, when graphed together with the line y=-3x +6, which will form a system of equations with no solution is y=-3(x +6), meaning the second option on the picture.

Step-by-step explanation:

hope this helps!

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A water taxi travels around an island in a path that can be modeled by the equation y =0.5(x - 16). A water skier is skiing alon
Eddi Din [679]

I realize that the equation is different, but do it in the same way, it'll help! It is given that the water​ taxi's path can be modeled by the equation y =0.5(x - 14)^2. ​Therefore, this is one of the equations in this system. Find a linear equation that will model the path of the water​ skier, which begins at the point (6,6) and ends at the point (8,-4). The slope is (-5). Use the slope and one point on the line to find the​ y-intercept of the line.  The​ y-intercept of the line that passes through the points (6,6) and (8,-4) is (0,36). Thus, the equation is y=-5x+36. Now, to determine if it is possible for the water skier to collide with the​ taxi, we have to determine if there is a solution to the system of equations. To determine if there is a solution to the system of​ equations, solve the system using substitution.​ First, write the equation that models the water​ taxi's path in standard form. y=0.5(x - 14)^2-->0.5x^2-14x+98. Use substitution. Substitute for  y in the equation and then solve for  x. As the expression on the left side of the equation cannot easily be​ factored, use the Quadratic Formula to solve for x. Do x=-b(plusorminus)sqrrtb^2-4ac/2a. Identify a, b, and c. a=0.5, b=-9, and c=62. Substitute into the Quadratic Formula. If there is a negative number under the radical, there are NO solutions. Thus, the path of the water skier will never cross the path of the taxi.

In conclusion: It is not possible that the water skier could collide with the taxi as the two paths never cross.

8 0
3 years ago
Find the area of this irregular figure. Please explain in steps how you did it so I know how to do it for the next question plea
Helen [10]
<h3>Answer:   426 square feet</h3>

Work Shown:

A = area of the rectangle

A = length*width

A = 26*15

A = 390 square feet

B = area of the triangle

B = base*height/2

B = 8*9/2

B = 72/2

B = 36 square feet

C = total area

C = A+B

C = 390+36

C = 426 square feet

7 0
1 year ago
Dorothy Little purchased a mailing list of 2,000 names and addresses for her mail order business, but after scanning the list sh
amm1812

Answer:  c.  0.0778

Step-by-step explanation:

Let  X is the number of non-authentic names in her sample with parameter :

n= 5 and p=40% = 0.40

Binomial probability distribution, the probability of getting success in x trials :-

P(X=x)=^nC_xp^x(1-p)^{n-x}

We have ,

P(X=0)=^{5}C_0(0.40)^0(1-0.40)^{5}\\\\=(1)(0.60)^{5}\\\\=0.07776\approx0.0778

Thus , the correct answer is option c. 0.0778

8 0
3 years ago
If a•b=b, what must the value of a be?
Mila [183]

Answer: I think f

Step-by-step explanation:

8 0
3 years ago
A rectangular mat has a length of 12 in. and a width of 4 in. Drawn on the mat are three circles. Each circle has a radius of 2
AVprozaik [17]
Area of the rectangular mat = 12 x 4 = 48 in²

Area of the 3 circles = 3( πr²) = 3(3.14 x 2²) = 37.68 in²

P(landing in a circle) = 37.68/48 = 157/200 = 0.79 (nearest hundredth)

Answer: The probability of landing in one of the circles is 0.79.
7 0
3 years ago
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