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3 years ago

NEED HELP PLEASE!

Mathematics

2 answers:

Elena-2011 [213]3 years ago

7 0

Answer: Fourth option is correct.

Step-by-step explanation:

Since we have given that

Number of passengers for first car can hold = 6

Number of passengers for second car can hold = 3

According to question, If the ride designer wants to make sure that each run holds at least 12 passengers.

Let the number of 6 passengers cars be 'x'.

Let the number of 3-passengers cars be 'y'.

So, our equation becomes,

$6x+3y\geq 12\\\\2x+y\geq 4$

Put x = 0, y= 0

So, it becomes 0≥4 which is false.

So, it is shaded away from the origin.

At x= 0, y≥4

at y = 0, x≥6

Hence, Fourth option is correct.

bixtya [17]3 years ago

3 0

Answer:

yep i agree it's the 4th one i took the test and i got that one correct

Step-by-step explanation:

You might be interested in

Solve the simultaneous equations 3x – y = 12 x +y = – 4 D = y = N

user100 [1]

Answer:

x+y=-4=y=-x-4

3x-(-x-4)=12

4x-4=12

4x=16

x=4

4+y=-4

y=-4

solution

(4,-4)

690th QUESTION LETS GOOO!!!

Hope This Helps!!!

3 0

3 years ago

Read 2 more answers

Anna runs 6 1/4 miles in 1 1/4hours. What is her rate in miles per hour?

fgiga [73]

Answer:

5 miles per hour

Step-by-step explanation:

Anna runs 6 1/4 miles in 1 1/4hours. What is her rate in miles per hour?

6 1/4 miles / 1 1/4 hours =

25/4 miles / 5/4 hours =

5 mph or miles per hour or miles/hour

7 0

3 years ago

Tiana solved the problem below and found that there was no solution. Solve the problem. Do you agree with her answer? Show your

Ierofanga [76]

Answer:

Step 1: Simplify both sides of the equation.

−6(x−4)+4x=−2x+18

(−6)(x)+(−6)(−4)+4x=−2x+18(Distribute)

−6x+24+4x=−2x+18

(−6x+4x)+(24)=−2x+18(Combine Like Terms)

−2x+24=−2x+18

Step 2: Add 2x to both sides.

−2x+24+2x=−2x+18+2x

24=18

Step 3: Subtract 24 from both sides.

24−24=18−24

0=−6

Answer:

There are no solutions.

4 0

3 years ago

Fit a trigonometric function of the form f(t)=c0+c1sin(t)+c2cos(t)f(t)=c0+c1sin⁡(t)+c2cos⁡(t) to the data points (0,5.5)(0,5.5),

larisa86 [58]

Answer

$f(t)=-0.2+4.1sin(t)+4cos(t)$

Step-By-Step Explanation

Given the function $f(t)=c_0+c_1sin(t)+c_2cos(t)$ .

For each pair (t, f(t)) in the data points (0,5.5), (π/2,0.5), (π,−2.5), (3π/2,−7.5)

$f(0)=c_0+0c_1+c_2=5.5$ .

$f(\pi /2)=c_0+c_1+0c_2=0.5$ .

$f(\pi)=c_0+0sin(t)-c_2=-2.5$ .

$f(3\pi /2)=c_0-c_1+0c_2=-7.5$ .

Expressing this as a system of linear equations in matrix form AX=B

$\left(\begin{array}{ccc} 1 & 0 & 1 \\ 1 & 1 & 0 \\ 1 & 0 & -1 \\ 0 & -1 & 0 \end{array} \right)\left( \begin{array}{c} c_{0} \\ c_{1} \\ c_{2}\\ \end{array} \right)=\left(\begin{array}{c} 5.5 \\ 0.5 \\ -2.5 \\ -7.5 \end{array} \right)$

Where

$A=\left(\begin{array}{ccc} 1 & 0 & 1 \\ 1 & 1 & 0 \\ 1 & 0 & -1 \\ 0 & -1 & 0 \end{array} \right)$ ,

$B=\left(\begin{array}{c}5.5\\0.5\\-2.5\\-7.5\end{array} \right)$

$X=\left(\begin{array}{c}c_0\\c_1\\c_2\end{array}\right)$

To determine the values of X, we use the expression

$X=(A^{T}A)^{-1}A^{T}B$

$A^{T}A= \left(\begin{array}{ccc} 3 & 1 & 0 \\ 1 & 2 & 0 \\ 0 & 0 & 2 \end{array} \right)$

$(A^{T}A)^{-1}= \left(\begin{array}{ccc} 0.4 & -0.2 & 0 \\ -0.2 & 0.6 & 0 \\ 0 & 0 & 0.5 \end{array} \right)$

$A^{T}B=\left(\begin{array}{c} 3.5 \\ 8 \\ 8 \end{array} \right)$

Therefore:

$X=\left(\begin{array}{ccc} 0.4 & -0.2 & 0 \\ -0.2 & 0.6 & 0 \\ 0 & 0 & 0.5 \end{array} \right)\left( \begin{array}{c} 3.5 \\ 8 \\ 8 \end{array} \right)$

$X=\left(\begin{array}{c}c_0\\c_1\\c_2\end{array}\right)=\left(\begin{array}{c} -0.2 \\4.1\\4\end{array}\right)$

Therefore, the trigonometric function which fits to the given data is:

$f(t)=-0.2+4.1sin(t)+4cos(t)$

8 0

3 years ago

(08.01) Line H is represented by the following equation: 2x + 2y = 8 What is most likely the equation for line K so the set of e

Lady bird [3.3K]

Answer:

The second option you listed: x + y = 4 gives the same line as H, and therefore renders infinite number of solutions (as many as every point on the line)

Step-by-step explanation:

We need to look for the equation that exactly matches the given one :

2 x + 2 y = 8

notice dividing both sides of this equation by "2" we get:

x + y = 4

SO this equation represents exactly the same line as 2 x + 2 y = 8 does, and therefore their graphs overlap completely

5 0

3 years ago