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vampirchik [111]
3 years ago
6

Solve the following quadratic equation 3x²-8x+5=0​

Mathematics
1 answer:
nekit [7.7K]3 years ago
8 0

To solve this equation, let's factor the left side.

Although you can factor it in different ways, I will show you a trick.

First, forget about the 3 and we have x² - 8x + 5.

Now, multiply the 3 by the constant to get 15.

So we have x² - 8x + 15.

Now factor to get (x - 5)(x - 3).

Now divide each of the constants in the

binomials by the leading coefficient, 3.

So we have (x - 5/3)(x - 3/3).

Simplify to get (x - 5/3)(x - 1).

Now move any denominators in front of the x in the binomial.

Moving the 3 in front of the x, we have 3x.

So our answer is (3x - 5)(x - 1) = 0.

So either 3x - 5 = 0 or x - 1 = 0.

Solving from here, we get x = 5/3 or x = 1.

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Determine the measure of ∠Y. images attached
Gwar [14]

Answer:

<h3>The answer is option C</h3>

Step-by-step explanation:

Since it's a right angled triangle we can use trigonometric ratios to find the value of ∠Y

To find the value of ∠Y we use tan

We have

\tan(∠Y)  =  \frac{25}{20}  \\  \tan(∠Y)  =  \frac{5}{4}  \\ ∠Y =  { \tan^{ - 1} } \frac{5}{4}  \\ ∠Y = 51.34019...

We have the final answer as

<h3>51.34°</h3>

Hope this helps you

5 0
2 years ago
Read 2 more answers
Hong buys a bag of 11 tangerines for $2.86.
Ghella [55]

Answer:

$0.26

Step-by-step explanation:

To find the unit price, divide the cost by the amount you have.

$2.86/11 = $0.26

The unit price is $0.26.

7 0
3 years ago
When x+2 = 1/5y is written in standard form, what is the value or B
Ket [755]

Answer:

B=-1

Step-by-step explanation:

Standard form is Ax+By=C.

In this case, Ax is x, By is 1/5y, and C is +2.

To isolate the 2 (the C), subtract x from both sides of the equation:

x+2=1/5y

-x     -x

2=-x+1/5y.

Now, the value of B, the x value, is -1.

4 0
2 years ago
What is the sum of 2.4, 3.06 and .75
Alenkasestr [34]
2.4+3.06=5.46
5.46+.75=6.21
The answer is 6.21
5 0
3 years ago
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Mattie uses the discriminant to determine the number of zeros the quadratic equation 0 = 3x2 – 7x + 4 has. Which best describes
Eduardwww [97]
For ax^2+bx+c=0 the discriminant is b^2-4ac

there are 3 basic cases of what happens for different discriminants
1. if the discriminant is less than 0, then there are no real zeroes
2. if the discriminant is 0, then it has 1 zero
3. if the discriminant is greater than 0, it has 2 zeroes


so given
0=3x^2-7x+4
a=3,b=-7,c=4
thus the discriminant is (-7)^2-4(3)(4)=49-48=1
the discriminant is 1. 1 is positive, thus the equation has 2 zeroes because the discriminant is greater than 0

the answer is the equation has two zeroes because the discriminant is greater than 0
8 0
2 years ago
Read 2 more answers
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