All categories

3 years ago

What is the maximum or minimum of the quadratic function y = 16x^2 +40x +25

1 answer:

6 0

Y = 16x^2+ 40x + 25

The sign before the 16 is positive, so it's a parabola with a minimum. The x coordinate of the minimum is: 
x=-b/2a=-40/32=5/4=-1.25 

If you fill that in, you get y=0 

so the coordinates are (1.25, 0)

You might be interested in

Use the table. Make a scatter plot relating the distance of various cities from the metro area to the population of the cities.

Dafna11 [192]

Answer:

Option (A)

Step-by-step explanation:

From the table attached,

Independent variable 'x' is will be represented by the distance from Metro area.

Similarly, dependent variable 'y' will be on y-axis.

Scatter plot relating the distances of various cities from the metro area (x) to the population of the cities (y) will be represented by the ordered pair as (x, y).

Set of ordered pairs to be plotted,

[(1, 300), (5, 275), (10, 208), (15, 135), (20, 108)]

Therefore, graph given in Option (A) will be the answer.

4 0

2 years ago

labwork [276]

Domain is the numbers you can use
range is the result of inputing the domain

an interesting fact is that the inverse of a function switches the domain and range

basically
the domain of f(x) becomes the range of f^-1(x)
the range of f(x) becomes the domain of f^-1(x)
so just find the domain and range of f(x)

$f(x)=3x- \frac{1}{2}$
there are no restrictions
all real numbers can be used
all real numbers can result

so the answer is domain and range for both is all real numbers

D is answer

7 0

3 years ago

Ive been waiting hours for someone to answer this question. Is everyone an idiot.

stepan [7]

Answer:

D) x = -2/3 and x = 6

Step-by-step explanation:

4(x²−x+2)−(x+10)(x+2) Distribute

(4)(x²) + (4)(−x) + (4)(2) + − x² + −12x + −20 Multiply

4x² + −4x + 8 + −x² + −12x + −20 Combine like terms

(4x² + −x²) + (−4x + −12x) + (8 + −20) Combine like terms

3x² −16x −12 = 0

x = -2/3 and x = 6

I graphed the equation on the graph below.

If this answer is correct, please make me Brainliest!

7 0

2 years ago

Rewrite (7x-8)(-1) using the distributive property

stealth61 [152]

The answer would be (-7x+8), the -1 basically means to switch the symbols

4 0

3 years ago

Read 2 more answers

Is this directly proportional? Speed and time, if the distance traveled is 120 km.

Andru [333]

Answer:

Step-by-step explanation:

If the speed rises then it will take you less time

If the speed decreases then it will take you more time

8 0

3 years ago