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SIZIF [17.4K]
3 years ago
7

Graph y = −x2 − 2. Identify the vertex of the graph. Tell whether it is a minimum or maximum.

Mathematics
2 answers:
Kitty [74]3 years ago
8 0
Y  = - x^2 - 2

the vertex of - x^2 will be at (0,0)
the -2 translates the graph down 2 units

The answer is the vertex is at (0,-2)  and  as the coefficient of x^2 is negative it is a maximum

Answer is  D.


alekssr [168]3 years ago
6 0

Answer:

(0, –2); maximum

Step-by-step explanation:

y = -x^2 - 2

WE are given with the quadratic equation.

Vertex form of quadratic equation is in the form of y=a(x-h)^2+k

where (h,k) is the vertex

y = -(x-0)^2 - 2

The value of a=-1

when the value of 'a' is negative, then the vertex is maximum

To find the vertex we look at the value of h  and k

h=0 and k= -2

Vertex is (0,-2)

(0, –2); maximum

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A veterinarian will prescribe an antibiotic to a dog based on its weight. The effective dosage of the antibiotic is given by d ≥
gregori [183]

Answer:

B) (35, 260)

Step-by-step explanation:

A veterinarian will prescribe an antibiotic to a dog based on its weight. The effective dosage of the antibiotic is given by d ≥ 1∕5w2, where d is dosage in milligrams and w is the dog's weight in pounds. Which of the following ordered pairs gives an effective dosage of antibiotics for a 35-pound dog?

A) (35, 240)

B) (35, 260)

C) (260, 35)

D) (240, 35)

Ordered pairs is composed of pairs, usually an x coordinate and a y coordinate. It refers to a location of a point on the coordinate. It matches numbers to functions or relations.

Given the relation between d is dosage in milligrams and w is the dog's weight in pounds as d ≥ 1∕5w²

For a 35 pound dog (i.e w = 35 pound). The dosage is given as:

d ≥ 1∕5(35)² ≥ 245 milligrams.

For an ordered pair (x, y), x is the independent variable (input) and y is the dependent variable (output).

The dog weight is the independent variable and the dosage is the dependent variable.

From the ordered pairs, the best option is (35, 260) because 260 ≥ 240

6 0
3 years ago
Question<br> (X-5y/y3)-1=
Ilia_Sergeevich [38]

Answer:

x  = y^3+5y

Step-by-step explanation:

Complete question

\frac{x - 5y}{y^3} - 1=0\\

Required

Solve for x

We have:

\frac{x - 5y}{y^3} - 1=0

Collect like terms

\frac{x - 5y}{y^3} = 1

Multiply through by y^3

x - 5y = y^3

Make x the subject

x  = y^3+5y

8 0
2 years ago
PLEASE HELP ASAP
Lesechka [4]

Answer:

A. f and h

Step-by-step explanation:

For a linear function the First Differences of the y-values must be a constant. i.e. if we take the difference between any two consecutive y values or values of f(x) it should be the constant. For this rule to work, x values must change by the same number every time, which is true for all three given functions.

For function f:

The values of f(x) are: 5,8,11,14

We can see the difference in consecutive two values is a constant i.e. 3, so the First Difference is the same. Hence, function f is a linear function.

For function g:

The values of g(x) are: 8,4,16,32

We can see the difference among two consecutive values is not a constant. Since the first differences are not the same, this function is not a linear.

For function h:

The values of h(x) are: 28, 64, 100, 136

We can see the difference among two consecutive values is a constant i.e. 36. Therefore, function h is a linear function.

5 0
3 years ago
Solve for the distance between the points (25, -41) and (31, -32).
Ann [662]

Answer:

The distance should be 3\sqrt{13

Step-by-step explanation:

Distance formula

7 0
3 years ago
3/9 + 2/3 = 7/3<br> What is the answer?
nexus9112 [7]
The actual answer is 1
7 0
3 years ago
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