All categories

3 years ago

Written in standard form, when will a quadratic equation have a local maximum?

Mathematics

1 answer:

diamong [38]3 years ago

8 0

Answer:

If the x^2 coefficient is positive, the function has a minimum. If it is negative, the function has a maximum. For example, if you have the function 2x^2+3x-5, the function has a minimum because the x^2 coefficient, 2, is positive.

You might be interested in

Please help me with these 2 questions, please show work

muminat

Answer:

5x - 4 = 11

1/2x + 15 = 9

Step-by-step explanation:

I dont exactly know how u would show work.

If it says something is less than a number, then it will be at the back of the equation. So skip that part and u will see it says five times a number. The number is unknown therefore it will a variable (i chose x to be the variable). 5 times x is 5x. Minus the 4 would be 5x - 4. Then it says the equation equals 11. So 5x - 4 = 11.

If it says something is more than a number, it can be on either side of the equation using the commutative property of addition. But if we want to consider it being like subtraction, then it also will be in the back of the equation. A half is one over two (1/2). A half of x is 1/2x. Plus the 15 would be 1/2x + 15. It then states that the equation equals 9. So 1/2x + 15 = 9.

3 0

3 years ago

The length of a rectangle is three centimeters less than the width. If one area of the rectangle is 53 cm^2, find the dimensions

andreev551 [17]

A= Area
l= length
w= width

l= w-3cm
A= l*w
A= 53cm²
53= l*w
(plug in value of length)
53= (w-3)(w)
0=w²-3w+53
Use the quadratic formula:
(in the pictures attached)
w= about 9cm
l=9-3= 6cm

Any questions?

3 0

3 years ago

an art teacher has 1 1/2 pounds of red clay and 3/4 pound of yellow clay.The teacher mixes the red clay and yellow clay together

Nataly [62]

Well, seeing as how she mixed the clay, she has a total of 2 2/8 pounds clay (unsimplified). Although we don't know how many students she has in one class, with simple division of this number we can figure out how many student can finish the project. Removing the 2/8, we can already tell 2 students can do it, so that's a start. Now to divide the 2 pounds into 8ths. Each pound is enough for 8 students, so the 2 pounds totals to 16. Now add the extra 2 students, it's 18 total students. Hope I explained it well enough!

7 0

3 years ago

What's the answer to 7-3x=12

Reika [66]

X would equal to -0.6

6 0

3 years ago

Read 2 more answers

In the Mississippi River Delta, fresh water (0% salinity) mixes with salt water from the Gulf of Mexico (3 1 2% salinity). If 1,

Rina8888 [55]

Answer:

The total resulting gallons of water is 4,000 gallons

The concentration of the resulting solution is 2.625% salinity

Step-by-step explanation:

The salinity of the fresh water from the Mississippi River Delta = 0%

The salinity of the water from the Gulf of Mexico = 3 1/2%

Therefore, if 1,000 gallons of river water mixes with 3,000 gallons from the Gulf, we have;

The total resulting gallons of water = 1,000 + 3,000 = 4,000 gallons

The total resulting gallons of water = 4,000 gallons

The concentration of the resulting solution is found as follows;

The concentration of the resulting solution = (3 × 3 1/2)/400 × 100 = 2.625%

The concentration of the resulting solution = 2.625% salinity.

8 0

3 years ago