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3 years ago

Write an equation for the line that has a slope of -4 and passes through the point (2,-3)

Mathematics

1 answer:

faltersainse [42]3 years ago

4 0

Answer:

y = -4x + 5

Step-by-step explanation:

y = -4x + b

-3 = -4(2) + b

-3 = -8 + b

5 = b

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You invest $2000 in a bank account that has 5% annual interest rate, compound ed continously. how much will you have in 5 years?

uysha [10]

Total = $2000(1.05)^5
money = $2552.56

8 0

3 years ago

Find the zeros of the following<br> please solve step by step<br> 1. x³+9x²+26x+24=0

Vlad1618 [11]

Answer: -4, -3, -2

Step-by-step explanation:

By inspection, we know $x=-2$ is a root.

We can thus rewrite the equation as

$(x+2)\left(\frac{x^3 + 9x^2 + 26x+24}{x+2} \right)=0\\\\(x+2)(x^2 + 7x+12)=0\\\\(x+2)(x+3)(x+4)=0\\\\x=-4, -3, -2$

3 0

2 years ago

At his last track meet, Eli ran the 400-meter dash in 54 seconds. His friend Kimberly bet him that he couldn't run a whole kilom

Trava [24]

Answer:

Eli has to run for 2.25 minutes at this pace to win the bet.

Step-by-step explanation:

At his last track meet, Eli ran the 400-meter dash in 54 seconds.

So, the speed of Eli's run is $\frac{400}{54} \times 60 = 444.44$ meters per minute.

Now, if Eli is determined to run a whole kilometer with the same speed, then it will take Eli to run 1 kilometer within $\frac{1000}{444.44} = 2.25$ minutes.

Hence, Eli has to run for 2.25 minutes at this pace to win the bet. (Answer)

6 0

3 years ago

What is the slope of the line passing through the points (−3, −5) and (−1, −6)

inessss [21]

slope = (y2-y1)/(x2-x1)

m= (-6--5)/(-1--3)

m = (-6+5)/(-1+3)

m=-1/2

4 0

3 years ago

Two number cubes (6 sided) are rolled at the same time. What is the probability that the first number cube will land on a 2 or 3

Reil [10]

Answer:

5/36 or approximately 13.88...%

Step-by-step explanation:

First, we need to know the probability of rolling a 2 or 3. Because there are 6 sides, the probability is 2/6

Next, we have to find the probability of rolling an even number. With the numbers:

1, 2, 3, 4, 5, 6

1, 3, 5 are odd 2, 4, 6 are even

so, the probability of rolling an even number is 3/6

Finally, multiply the probabilities:

3/6*2/6=5/36

Answer:

5/36 or about 13.88%

7 0

3 years ago