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andre [41]
3 years ago
11

What is the only solution of 2x2 + 8x = x2 – 16?

Mathematics
2 answers:
posledela3 years ago
8 0
Simplify and solve quadratic equation:

2x^2+8x=x^2-16 => x^2+8x+16 => (x+4)^2=16 => x={-4,-4}
So numerically the only solution is x=-4.

However, mathematically, there are two solutions, {-4,-4}, or x=4,multiplicity 2.
True [87]3 years ago
4 0

Answer:

(-4,-4)

Step-by-step explanation:

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Find the vertex of the quadratic function
Galina-37 [17]

Answer:

(1.5,2.5)

Step-by-step explanation:

f(x) = 2x^2 - 6x + 7

Take the first derivative and set it equal to 0 (the slope is 0 at the vertex)

f'(x) = 4x -6

0 = 4x - 6

4x = 6

x = 3/2 or 1.5

If x = (3/2), then y = 2(3/2)^2 - 6(3/2) + 7

y = 2(9/4) - 18/2 + 7

y = (9/2) - 2

y = 2.5

See attached graph.

8 0
2 years ago
PLEASE HELP I NEED ANSWER
Lubov Fominskaja [6]
You have to use the y=mx+b formula to find the equation
7 0
3 years ago
Select the correct answer.
nordsb [41]

Answer:

A. The graph is a line that goes through the points (9,0) and (0,6).

Step-by-step explanation:

Given

4x + 6y = 36

Required

Select the true options

(a)\ (9,0)\ and\ (0,6)

This implies that"

(x_1,y_1)= (9,0)

(x_2,y_2)= (0,6)

So, we have: (x_1,y_1)= (9,0)

4x + 6y = 36

4 * 9 + 6 * 0 = 36 + 0 = 36

So, we have: (x_2,y_2)= (0,6)

4 * 0 + 6 * 6 = 0 + 36 = 36

<em>Hence (a) is true.</em>

3 0
3 years ago
A car rental agency advertised renting a car for $ 23.95 per day and $ 0.32 per mile. of david rents this car for 4 ​days, how m
Taya2010 [7]
325 miles total.
23.95x4 =95.8
200-95.80
=$104.20
104.20 divided by.32 is 325.6 so in total 325 miles.
7 0
3 years ago
On a class trip to the zoo, there is 1 chaperone for every 4 students. If 5 chaperones are on the trip, how many students are go
aleksandr82 [10.1K]

Answer:

20 Students

Step-by-step explanation:

If there is 1 chaperone for every 4 students, and there are a total of 5 chaperones on the trip, you can use this information to know that..

If there are 5 chaperones and 4 students for each chaperone, that would give you 20 students!

6 0
3 years ago
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