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2 years ago

3x-5y=4

Mathematics

1 answer:

katrin [286]2 years ago

4 0

Answer: (-2, -2)

Step-by-step explanation:

We will graph the equations. Then, we will decide which of the points is a solution. See attached for the graph. The point of intersection is the solution. This means the only solution is,

(2, 2)

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Multiply the binomial and the trinomial. <br> (x-2)(x^2+2x+4)

malfutka [58]

Answer:

Step-by-step explanation:

To solve this problem, we need to multiple $x$ and -2 by $x^{2} + 2x + 4$ and add the results together:

$x(x^{2} + 2x + 4)$

$x^{3} + 2x^{2} + 4x$

$-2(x^{2} + 2x + 4)$

$-2x^{2} - 4x - 8$

Adding the two together give the following:

$(x^{3} + 2x^{2} + 4x) + (-2x^{2} - 4x - 8)$

$x^{3} - 8$

7 0

3 years ago

write an expression for the new balance using as few terms as possible. A checking account has a balance of -$126.89. A customer

Nutka1998 [239]

Answer:

New balance = -151.89 + 4.5x

(where x is the value of the smaller deposit)

Step-by-step explanation:

The inicial balance was -126.89.

Then, it were made two deposits, one with the value of x, and one that is 3 1/2 times the other, that is, 3.5x.

Then, the customer made a withdraw of $25.

So, The new balance can be calculated as:

New balance = inicial balance + x + 3.5x - 25

New balance = -126.89 + 4.5x - 25

New balance = -151.89 + 4.5x

8 0

3 years ago

In how many ways can a committee of four men and four woman be formed from a group of seven men and eleven women?

-Dominant- [34]

Choosing 4 men from seven can be done in 7C4 = 35 ways
(There are 7 to choose from then 6 and 5 and 4 = 7 x 6 x 5 x 4
but we don’t want them in order so we need to divide by 4! = 4 x 3 x 2 x 1)
Similarly choosing 4 women from 11 can be done in 11C4 = 330 ways.

Total number of ways to choose 4 men and 4 women = 35 x 330 = 11550

3 0

1 year ago

Find all the angles listed. also list all of the lines that are secants, chords and tangents

Tanzania [10]

Answer:

Secants – 1. <CBG 2. <AGF 3. <ABD

Tangent – 1. <CDE

Chords – 1. <BD 2. <DF 3. <BG 4. <BF 5. <GD 6. <FG

Angles – 1. 45 2. 75 3. 35 4. 70 5. 75 6. 55 7. 50 8. 25 9. 35 10. 70 11. 50 12. 25 13. 70 14. 50. 15. 60 16. 85 17. 95 18. 85 19. 95

Step-by-step explanation:

4 0

2 years ago

In the 2004 Olympics, Adam won a gold medal in the men's 500 m kayak race, with a time of 1 min and 37.9 sec. He also won the br

Sedbober [7]

Answer:

The correct answer is Adam rowed faster in the men's 500-meter kayak race.

Step-by-step explanation:

To find the speed he rowed in both races, you need to divide the distance of the race by the time it took him to finish. In the first race, he rowed 500 meters and did it in a time of 1 minute 37.9 seconds, so the speed in that race would be $\frac{500}{97.9}$ or approximately 5.10725 meters per second. In the second race, Adam rowed a distance of 1000 meters and did it in a time of 3 minutes 28.2 seconds, which means his speed in that race would be $\frac{1000}{208.2}$ or approximately 4.80307 meters per second. Since his speed in the first race was faster than his speed in the second race, Adam rowed faster in the first race would be the correct answer.

3 0

2 years ago