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3 years ago

Write an equation in point-slope form for each line. (If possible please show work)

Mathematics

1 answer:

Nimfa-mama [501]3 years ago

8 0

Answer:

y= -2x+3

Step-by-step explanation:

Point slope form= y=mx+b

The m is the slope.

So, we have an incomplete equation right now: y= -2x+b

We want to find b. We can do that by plugging in values for the x and y coordinates. Fortunately, we do have a set of coordinates, (1, 1)!

We plug them in:

1= -2(1)+b

1= -2+b

b=3

So, since we have the slope and the b, also called the y-intercept, we can form an equation!

y= -2x+3

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Brian is 2 years older than Malachy. Caroline is 8 years younger than Malachy. If the total of their ages is 66, how old is the

SVETLANKA909090 [29]

Answer:

The eldest of them is Brian and he is 24 + 2 = 26 years old.

Step-by-step explanation:

Let

Malachy age = a

Brian age = a + 2

Caroline age = a - 8

Total of their age = a + (a + 2) + (a - 8)

66 = a + (a + 2) + (a - 8)

collect like terms

66 = a + a + 2 + a - 8

66 = a + a + a - 6

3a = 66 + 6

3a = 72

divide both sides by 3

a = 72/3

a = 24

Malachy age is 24 . Caroline is 24 - 8 = 16 years old.

The eldest of them is Brian and he is 24 + 2 = 26 years old.

7 0

3 years ago

Find the product (3x+8)(x-4)

timurjin [86]

Answer:

3 $x^{2}$ - 4x - 32

Step-by-step explanation:

(3x+8)(x-4)

=3 $x^{2}$ -12x + 8x -32

=3 $x^{2}$ - 4x - 32

7 0

3 years ago

Read 2 more answers

With the definition of the derivative, determine the formula logx!

Ede4ka [16]

Answer:

sorry i dont know the answer .

5 0

2 years ago

The Eco Pulse survey from the marketing communications firm Shelton Group asked individuals to indicate things they do that make

BabaBlast [244]

Answer:

a) 0.54 = 54% probability that a randomly selected person will feel guilty for either wasting food or leaving lights on when not in a room or both.

b) 0.46 = 46% probability that a randomly selected person will not feel guilty for either of these reasons

Step-by-step explanation:

We use Venn's Equations for probabilities.

I am going to say that:

P(A) is the probability that a randomly selected person will feel guilty about wasting food.

P(B) is the probability that a randomly selected person will feel guilty about leaving lights on when not in a room.

0.12 probability that a randomly selected person will feel guilty for both of these reasons.

This means that $P(A \cap B) = 0.12$

0.27 probability that a randomly selected person will feel guilty about leaving lights on when not in a room.

This means that $P(B) = 0.27$

0.39 probability that a randomly selected person will feel guilty about wasting food

This means that $P(A) = 0.39$

a. What is the probability that a randomly selected person will feel guilty for either wasting food or leaving lights on when not in a room or both (to 2 decimals)?

$P(A \cup B) = P(A) + P(B) - P(A \cap B) = 0.39 + 0.27 - 0.12 = 0.54$

0.54 = 54% probability that a randomly selected person will feel guilty for either wasting food or leaving lights on when not in a room or both.

b. What is the probability that a randomly selected person will not feel guilty for either of these reasons (to 2 decimals)?

$p = 1 - P(A \cup B) = 1 - 0.54 = 0.46$

0.46 = 46% probability that a randomly selected person will not feel guilty for either of these reasons

8 0

3 years ago

Decimal Operati<br> 1. Find the sum of the expression.<br> 0.975 + 3.8

BlackZzzverrR [31]

Answer:

4.775

Step-by-step explanation:

3 0

4 years ago

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