All categories

3 years ago

What is the vertex if the graph

Mathematics

2 answers:

Stells [14]3 years ago

4 0

Answer:

(-1,2)

Step-by-step explanation:

x value is -1 unit

y value is 2 units

suter [353]3 years ago

3 0

Answer:

(-1,2)

Step-by-step explanation:

You might be interested in

An object is launched from a launching pad 208 ft. above the ground at a velocity of 192ft/sec. what is the maximum height reach

loris [4]

Answer:

The maximum height is 784 feet

Step-by-step explanation:

In this problem we use the kinematic equation of the height h of an object as a function of time

$h(t) = -16t ^ 2 + v_0t + h_0$

Where $v_0$ is the initial velocity and $h_0$ is the initial height.

We know that

$v_0 = 192\ \frac{ft}{sec}$

$h_0 = 208\ ft.$

Then the equation of the height is:

$h(t) = -16t ^ 2 + 192t +208$

For a quadratic function of the form $ax ^ 2 + bx + c$

where $a$

the maximum height of the function is at its vertex.

The vertice is

$x = -\frac{b}{2a}\\\\y = f(\frac{-b}{2a})$

In this case

$a = -16\\b = 192\\c = 208$

Then the vertice is:

$t = -\frac{192}{2(-16)}\\\\t = 6\ sec$

Now we calculate h (6)

$h(6) = -16(6) ^ 2 +192(6) +208\\\\h(6) = 784\ feet$

The maximum height is 784 feet

8 0

3 years ago

The class with the greatest mean sales in a spring fundraiser will win a prize. The mean for Eric's class is $148. The mean for

bezimeni [28]

The reason it would in crese is because they combin their money

6 0

3 years ago

There are two spinners. The first spinner has three equal sectors labeled 1, 2, and 3. The second spinner has four equal sectors

zhuklara [117]

<h3>Answer: A) 1</h3>

=========================

Explanation:

Let's label each pair of outcomes as an ordered pair (x,y)

x = first spinner outcome

y = second spinner outcome

We have these 12 different possible combos

(1,3), (1,4), (1,5), (1,6)

(2,3), (2,4), (2,5), (2,6)

(3,3), (3,4), (3,5), (3,6)

Focus on the third column where y = 5 for each (x,y) pair. Of this column only (2,5) has x be an even number. The other results in that column have x be odd.

Basically (1,5) is the only possible outcome if we want the first spinner to lan on an even number, and the second spinner to land on 5.

7 0

3 years ago

What is the exam score for an exam whose z-score is 1.25?

mojhsa [17]

Answer:

Step-by-step explanation:

A z-score of 1.25 means that the actual exam score is 1.25 standard deviations above the mean, and therefore the exam score we are looking for is: mean + 1.25 * SD = 75 + 1.25 * 8 = 85

4 0

3 years ago

What is the order, from narrowest to widest graph, of the quadratic functions f (x) = -10x2, f (x) = 2x2, and f (x) = 0.5x2?

Varvara68 [4.7K]

The <em>correct answer</em> is:

f(x) = -10x², f(x) = 2x², and f(x) = 0.5x²

Explanation:

For a quadratic in standard form, f(x) = ax²+bx+c, the value of a describes the width and direction of the parabola. If a is positive, the parabola is open upward. If a is negative, the parabola is open downward.

If a < 1, a fraction or decimal, the graph is wider than the parent function f(x)=x². If a > 1, the graph is narrower than the parent function f(x)=x². The larger the value of a is (a > 1), the narrower the graph is. This makes the function with the decimal value of a the widest; the remaining graphs are in order of the value of a, least to greatest.

3 0

3 years ago

Read 2 more answers