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lisabon 2012 [21]

3 years ago

6

Aaron graphed the equation x= y2 on a coordinate plane, while Jody graphed the equation y = x2. The ordered pair (1, 1) satisfie

s both equations. Which statement about the ordered pair (1, -1) is correct?

1 answer:

I am Lyosha [343]3 years ago

6 0

Answer:

Order pair (1,-1) satisfies x = y² only

Step-by-step explanation:

Given that

Equation graphed by Aaron = x = y²

Equation graphed by Jody = y = x²

Given that the coordinate pair (1,1) satisfies both the equations. lets check it for both equations one by one.

For equation (1)

1 = (1)²

1=1

For equation (2)

1 = (1)²

1=1

Now lets check both equations for ordered pair (1, -1)

For equation (1)

1 = (-1)²

1=1

For equation (2)

-1 = (1)²

-1=1 (False)

So this ordered pair satisfies the equation (1) only.

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Find the vertex of this parabola.<br><br><br><br> y = -2x2 + 4x + 12

STatiana [176]

For this case we have the following equation:
$y = -2x ^ 2 + 4x + 12
$
Deriving we have:
$y = -2x ^ 2 + 4x + 12

y '= -4x + 4$
We match zero:
$-4x + 4 = 0
$
We clear the value of x:
$4x = 4

x = 4/4

x = 1$
Then, we substitute the value of x in the equation of the parabola:
$y = -2 (1) ^ 2 + 4 (1) + 12

y = -2 + 4 + 12

y = 14$
Thus, the vertex of the parabola is the ordered pair:
$(x, y) = (1, 14)$
Answer:
The vertice is:
$(x, y) = (1, 14)$

3 0

3 years ago

Brian and Steve want to compare the prices of their favorite cereals to determine which is less expensive. Figure out the price

Andrews [41]

Me being a junior in high school and not knowing middle school math

8 0

3 years ago

Read 2 more answers

A city hosted a music festival that included three concerts. According to the sales database, 28% of the audience attended the f

Vitek1552 [10]

Answer:

$P(X\cap Y\cap Z)=0.05$

Step-by-step explanation:

From the question we are told that:

Percentage of audience in first concert $P(X)=0.28$

Percentage of audience in second concert $P(Y)=0.42$

Percentage of audience in third concert $P(Z)=0.30$

Audience Percentage at at-least one concert $P(X \cup Y \cup Z)=0.80$

Percentage of audience at first & second concert $P(X \cap Y)=0.10$

Percentage of audience in first & third concert $P(X \cap Z)=0.08$

Percentage of audience in second & third concert $P(Y\cap Z)=0.07$

Generally the equation for probability of attending all concerts $P(X\cap Y\cap Z)$ is mathematically given by

$P(X \cup Y \cup Z)=P(X)+P(Y)+P(Z)-P(X \cap Y)-P(X \cap Z)-P(Y\cap Z)+P(X\cap Y\cap Z)$

$P(X\cap Y\cap Z)=P(X \cup Y \cup Z)-P(X)-P(Y)-P(Z)+P(X \cap Y)+P(X \cap Z)+P(Y\cap Z)$

$P(X\cap Y\cap Z)=0.80-0.28-0.42-0.30+0.10+0.80+0.70$

$P(X\cap Y\cap Z)=0.05$

Therefore the probability that a randomly selected audient attended all the concerts

$P(X\cap Y\cap Z)=0.05$

8 0

3 years ago

From the observation deck of a skyscraper, Harper measures a 45^{\circ} ∘ angle of depression to a ship in the harbor below. If

Evgesh-ka [11]

The horizontal distance between the base of the skyscraper to the ship is 1145 feet.

Data;

Angle = 45 degree
Observation deck (adjacent) = 1145 ft
horizontal distance (opposite) = x

<h3>Trigonometric Ratios</h3>

Using trigonometric ratios, we have the value of adjacent and angle, we can easily use tangent of the angle to find the horizontal distance

$tan\theta = \frac{opposite}{adjacent}$

Substitute the values into the equation and solve

$tan45 = \frac{x}{1145}\\ x = 1145tan45\\x = 1145ft$

The horizontal distance between the base of the skyscraper to the ship is 1145 feet.

Learn more on trigonometric ratio here;

brainly.com/question/4326804

5 0

2 years ago

If p=-2, find the value of 4p +7

MissTica

4(-2)+7=-1

4(-2)=-8

-8+7=-1

8 0

3 years ago