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zvonat [6]
4 years ago
13

If the quadratic formula is used to solve 2x2 = 8x -3, what are the solutions

Mathematics
2 answers:
Nataly_w [17]4 years ago
7 0

Answer:

x = 2 ± \frac{1}{2}\sqrt{10}

Step-by-step explanation:

Given a quadratic equation in standard form : ax² + bx + c = 0

Then we can solve for x using the quadratic formula

Given

2x² = 8x - 3 ( subtract 8x - 3 from both sides )

2x² - 8x + 3 = 0 ← in standard form

with a = 2, b = - 8 and c = 3, hence

x = (- (- 8) ± \sqrt{(-8)^2-(4(2)(3)}) / 4

  = (8 ± \sqrt{64-24}) / 4

  = (8 ± \sqrt{40}) / 4

  = (8 ± 2\sqrt{10} ) / 4

  = \frac{8}{4} ± \frac{2\sqrt{10} }{4}

  = 2 ± \frac{1}{2}\sqrt{10}

 

seraphim [82]4 years ago
3 0

Answer:

2x2 = 8x-3

4 = 8x - 3 | +3

7=8x

x=7/8

Step-by-step explanation:

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The results of a swim meet are shown. Who swam the fastest? Explain your reasoning.
kobusy [5.1K]

Answer : The Susana swam the fastest.

Step-by-step explanation :

Speed : It is defined as the distance traveled per unit time.

Formula used :

Speed=\frac{Distance}{Time}

First we have to determine speed of the following persons.

<u>For Tawni :</u>

Distance = 50 m

Time = 40.8 s

Speed=\frac{Distance}{Time}=\frac{50m}{40.8s}=1.225m/s

The speed of Tawni is, 1.225 m/s

<u>For Pepita :</u>

Distance = 100 m

Time = 60.2 s

Speed=\frac{Distance}{Time}=\frac{100m}{60.2s}=1.661m/s

The speed of Pepita is, 1.661 m/s

<u>For Susana :</u>

Distance = 200 m

Time = 112.4 s

Speed=\frac{Distance}{Time}=\frac{200m}{112.4s}=1.779m/s

The speed of Susana is, 1.779 m/s

From this we conclude that, in this problem meter affects the response and the speed of Susana is more than the Pepita and Tawani.

Thus, Susana swam the fastest.

6 0
3 years ago
Please help ASAP !!!!!
pochemuha

Answer:

(goh) (0) = 4

Step-by-step explanation:

Given that,

g(x) = 2x

h(x) = x² + 4

We need to find the value of (goh) (0).

Firstly we find (goh),

(goh) = g(h(x))

=g(x²+4)

(goh) (0) = 0²+4

=4

Hence, the required answer is 4.

7 0
3 years ago
A certain highway has a 7% grade. how many feet does it rise in a horizontal distance of 1 mile? (1 mile = 5280 feet. round your
pentagon [3]
For this case we have the following relationship:
 (x / 5280) = (7/100)
 From this relationship we must clear the value of x.
 Clearing we have:
 x = (7/100) * (5280)
 Calculating we have:
 x = 0.07 * 5280
 x = 369.6 feet
 Answer:
 
it does rise in a horizontal distance of 1 mile about:
 
x = 369.6 feet
3 0
3 years ago
Explain how you can use base 10 blocks to find 2.16÷3
Vikentia [17]
You can use 10 blocks by having 1 ten and 6 ones and then divide it into groups of 3 when you do that you are kind of subtracting when you take away 3 away each time. After that you multiply it, so you think of whatever times 3 is 16 which is 15 r1. Then your answer should be 30.
8 0
4 years ago
if you think that Andy solved the problem correctly, explain how you can tell he is correct. If not, identify and explain all er
nasty-shy [4]

Answer:

25 lol

Step-by-step explanation:

4 0
3 years ago
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