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Vladimir79 [104]
3 years ago
13

Solve the quadratic equation: 3x2 − 2x − 8 = 0

Mathematics
2 answers:
astra-53 [7]3 years ago
8 0
Solutions 

Factor <span>3x</span>²<span><span>−2x−8</span><span>

</span></span>1. Multiply 3 by -8, which is -24.

2. Ask: Which two numbers add up to -2 and multiply to -24?

3. Answer: 4 and -6

4. Rewrite <span>−2x </span>as the sum of <span>4x </span>and <span>−6x</span>: 

3x^2+4x-6x-8=0<span>

</span><span>Factor out common terms in the first two terms, then in the last two terms 
</span>
x(3x+4)-2(3x+4)=0&#10;&#10; &#10; 

 Factor out the common term <span>3x+4 

</span>(3x+4)(x-2)=0 

Solve for <span>x

</span>1. Ask: When will <span>(3x+4)(x−2) </span>equal zero?

2. Answer: When <span>3x+4=0 </span>or <span>x−2=0.</span>

3. Solve each of the 2 equations above: 

x = −<span>4 / 3</span>,<span>2</span>

Liula [17]3 years ago
7 0
3x^2-2x-8=0\\&#10;3x^2-6x+4x-8=0\\&#10;3x(x2)+4(x-2)=0\\&#10;(3x+4)(x-2)=0\\&#10;x=-\dfrac{4}{3} \vee x=2
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I don't understand this plz help explain how to do it
podryga [215]

Answer:

1. U. 190

2.U. 155

3. U. 240

Step-by-step explanation:

Explanation: To find an angle of a triangle we add the angles we know about

EXAMPLE: 50 + 120. We need to find the third angle.

We know that Angles of triangles should add up to 360

So to find the third angle we add the angle we know about.

EXAMPLE: 50 + 120 = 170 then we Subtract the sum of a triangle *360*

EXAMPLE: 50 + 120 = 170

EXAMPLE: 170 - 360

EXAMPLE: = 190

That's how we find a third angle!

If this doesn't clarify how do to it enough just let me know and i can try to explain more in detail!

Hope this helps you!!!

Have a nice day!

6 0
3 years ago
I need help 3-6 pleasr
Colt1911 [192]
3) Mathematical expression would be:
 412 - 65 + 0.50x
Where, x = Number of Texts sent

4) Product means result after multiplication, sum after addition, quotient is the result of division with remainder, and difference is how far two numbers are in their magnitude.
"Per" tells us the magnitude for an Unit value.

5) Associative property = (a+b) + c = a+ (b+c)
Commutative property = a + b = b + a
Distributive Property = a(b+c) = ab+bc

They all have their unique characteristics and can be differentiated on that basis.

6) They all are same.
At the end, without parentheses and in proper symbol, it would be equal to -3/4

Hope this helps!
4 0
3 years ago
Insulin is used to regulate sugar in the bloodstream. A dose of 10 units breaks down by about 5% each minute after injection. Ho
s344n2d4d5 [400]

Answer:

Explanation:

• The initial dose of the Insulin = 10 Units

The insulin breaks down by about 5% each minute, therefore:

• The decay rate, r= 5%

We want to determine the time it will take for the remaining dosage to be half (5 units) of the original dose.

We use the exponential decay function:

N(t)=N_o(1-r)^t

Substituting the given values, we have:

\begin{gathered} 5=10(1-0.05)^t \\ \frac{5}{10}=0.95^t \\ 0.5=0.95^t \end{gathered}

To solve for t, we change to logarithm form.

8 0
1 year ago
Solve for k <br> 7k+2m = kr + 4m + 3
professor190 [17]

Answer:

\large\boxed{k=\dfrac{2m+3}{7-r}\ \text{for}\ r\neq7}

Step-by-step explanation:

7k+2m=kr+4m+3\qquad\text{subtract}\ 2m\ \text{from both sides}\\\\7k+2m-2m=kr+4m-2m+3\\\\7k=kr+2m+3\qquad\text{subtract}\ kr\ \text{from both sides}\\\\7k-kr=kr-kr+2m+3\\\\7k-kr=2m+3\qquad\text{distribute}\\\\k(7-r)=2m+3\qquad\text{divide both sides by}\ (7-r)\neq0\\\\k=\dfrac{2m+3}{7-r}

6 0
3 years ago
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VashaNatasha [74]

Answer: 5

Step-by-step explanation: Let x = the number

x^10 ÷ x^7 = 125

x^3 = 125

x = 5

6 0
3 years ago
Read 2 more answers
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