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3 years ago

Transform the given standard form into vertex form and determine vertex.

Mathematics

1 answer:

Natalka [10]3 years ago

7 0

Answer:

1. the vertex form of your function is f(x)= (x+-2)^2+-7

The vertex is at (2,-7)

2. So, the vertex form of your function is f(x)= (x+-7/2)^2 -41/4

The vertex is at (7/2, -41/4)

Step-by-step explanation:

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Write an equation that passes through (-2, - 11) and is perpendicular to x + 4y=8

s344n2d4d5 [400]

Answer:

y = 4x - 3

Step-by-step explanation:

Firstly rearrange into the form y = mx + c;

⇒ $y = -\frac{1}{4}x + 2$

Secondly, find the gradient of the line using the formula for perpendicular lines;

⇒ $m_{1}m_{2} = -1$

⇒ $-\frac{1}{4}m_{2} = -1$

⇒ $m_{2} = 4$

Now substitute into the formula for a straight line;

⇒ $y - y_{1} = m(x - x_{1})$

⇒ $y + 11 = 4(x + 2)$

⇒ $y = 4x - 3$

8 0

3 years ago

Jonny has 9 apples. If he eats one and then splits the apples evenly for him and his friend, how much will he have now?

il63 [147K]

Well if he has 9 then eats one that would have 8 so they both would get 4

Hope it helped! :)
And cool pic

8 0

4 years ago

Read 2 more answers

Dan takes a test worth 100 points. Each question is worth the same number of points. Dan misses 5 questions and scores 80 on the

Sindrei [870]

Each is worth 4 points

5 0

3 years ago

What is the domain of f(x) = 3x?

lina2011 [118]

Answer:

domain = all real numbers

Step-by-step explanation:

Note: I would reccommend using desmos if you have problems on graphing.

6 0

3 years ago

In a survey of a town, 56% of residents own a car, 21% of residents owns a truck, and 4% of residents own both a car and a truck

rodikova [14]

Answer:

A. 7%

Step-by-step explanation:

We build the Venn's diagram of these probabilities.

I am going to say that:

A is the probability that a resident owns a car.

B is the probability that a resident owns a truck.

We have that:

$A = a + (A \cap B)$

In which a is the probability that a resident has a car but not a truck and $A \cap B$ is the probability that a resident has both a car and a truck.

By the same logic, we have that:

$B = b + (A \cap B)$

4% of residents own both a car and a truck.

This means that $A \cap B = 0.04$

56% of residents own a car

This means that $A = 0.56$ . So

$A = a + (A \cap B)$

$0.56 = a + 0.04$

$a = 0.52$

What is the conditional probability that a person who owns a car also owns a truck?

$P(B|A) = \frac{A \cap B}{A} = \frac{0.04}{0.56} = 0.07$

So the correct answer is:

A. 7%

8 0

3 years ago