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3 years ago

Solve the following system of equations for y: y = 2x + 6 3x – 4y = -19

Mathematics

1 answer:

padilas [110]3 years ago

7 0

Answer:

x = -1 ; y=4

Step-by-step explanation:

1. Use the substitution method and replace the y on the second equation with the first equation,

2. Solve for x (x=-1)

3. Plug x into the first equation to get y

ANS: y=4

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If f(x) = 3x2, what is the x-coordinate of the point of intersection of the graphs of y = f(x) and y = f(x − 4)?

Minchanka [31]

Step-by-step explanation:

When f(x) = f(x - 4), 3x² = 3(x - 4)².

=> x² = (x - 4)², x = -(x - 4), 2x = 4, x = 2.

The x-value is 2.

8 0

2 years ago

Compare the decimals 16.30 and 16.3

pshichka [43]

16.30 and 16.3 equal. If you ever have a problem like that then you just add on a zero.

Example:
19.4500 = 19.45 Just add two zeros on the end
19.45 + two zeros = 1.4500

8 0

3 years ago

I need help with this probability problem. I’m helping my brother with his homework and I don’t know how to solve this question.

Aleksandr-060686 [28]

Hello from MrBillDoesMath!

Answer:

Number marbles >= 5

Discussion:

The only certain thing we can say is the jar contains at least 5 (green) marbles. The table shows probabilities, not certainties, and is no guarantee that any other marbles even exist in the jar,

Thank you,

MrB

5 0

3 years ago

Adam must fly home to city A from a business meeting in city B. One flight option flies directly to city A from B, a distance o

g100num [7]

Answer:

The value is $k =109.6 \ miles$

Step-by-step explanation:

The diagram illustrating the question is shown on the first uploaded image

From the question we are told that

The distance from city A to B is AB = 467.3 miles

The bearing from B to C is $\theta_{BC} = N 28.7E$

The bearing from B to A is $\theta_{BA} = N 60.7E$

The bearing from A to B is $\theta_{AB} = S60.7W$

The bearing from A to C is $\theta_{AC} = S79.1W$

Generally from the diagram

$\theta_A = 180 - 60.7 -79.1$

=> $\theta_A = 40.2 ^o$

Also

$\theta_B = 32^o$

and

$\theta_C = 180 - (\theta_A +\theta_B )$

=> $\theta_C = 180 - (40.2 + 32 )$

=> $\theta_C = 107.8 ^o$

Generally according to Sine Rule

$\frac{BC}{sin (\theta_A)} = \frac{CA}{sin (\theta_B)} =\frac{AB}{sin (\theta_C)}$

=> $\frac{BC}{sin (40.2)} = \frac{CA}{sin (32)} =\frac{467.3 }{sin (107.8)}$

$\frac{BC}{sin (40.2)} = \frac{467.3 }{sin (107.8)}$

=> $BC = 316.8 \ miles$

Also

$\frac{CA}{sin (32)} = \frac{467.3 }{sin (107.8)}$

$CA = 260 .1 \ miles$

Generally the additional flyer miles that Adam will receive if he takes the connecting flight rather than the direct flight is mathematically represented as

$k = [CA +BC] - AB$

=> $k = [260 .1 +316.8]- 467.3$

=> $k =109.6 \ miles$

4 0

2 years ago

Forty children from an after-school club went to the matinee.This is 25% of the children in the club.How many children are in th

Korvikt [17]

25% = 0.25

40 / 0.25 = 160

40 is 25% of 160.

There are 160 children in the club.

7 0

2 years ago