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harina [27]
3 years ago
5

6. 3x2 – 2x = 5 Quadratic formula

Mathematics
1 answer:
stealth61 [152]3 years ago
5 0

Answer:

The solution to the quadratic equation be:

x=\frac{5}{3},\:x=-1  

Step-by-step explanation:

Given the expression

3x² – 2x = 5

Solving with the quadratic formula

3x^2-2x=5

subtract 5 from both sides

3x^2-2x-5=5-5

Simplify

3x^2-2x-5=0

For a quadratic equation of the form ax²+bx+c=0

x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}

For a = 3, b = -2, c = -5

x_{1,\:2}=\frac{-\left(-2\right)\pm \sqrt{\left(-2\right)^2-4\cdot \:3\left(-5\right)}}{2\cdot \:3}

x_{1,\:2}=\frac{-\left(-2\right)\pm \:8}{2\cdot \:3}

Separate the solutions

x_1=\frac{-\left(-2\right)+8}{2\cdot \:3},\:x_2=\frac{-\left(-2\right)-8}{2\cdot \:3}

solving

x_1=\frac{-\left(-2\right)+8}{2\cdot \:3}

    =\frac{2+8}{2\cdot \:3}

    =\frac{10}{6}

    =\frac{5}{3}

also solving

x_2=\frac{-\left(-2\right)-8}{2\cdot \:3}

    =\frac{2-8}{2\cdot \:3}

    =\frac{-6}{2\cdot \:3}

    =\frac{-6}{6}

     =-\frac{6}{6}

     =-1

Therefore, the solution to the quadratic equation be:

x=\frac{5}{3},\:x=-1  

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Find the value of cos θ if the angle θ is in the third quadrant and sinθ= -0.8
Rudiy27

Correct option is D) -0.6.

<u>Step-by-step explanation:</u>

We have sin\alpha  = -0.8 . Also, we know that cos\alpha  = \sqrt{1- (sin\alpha } )^{2} . Let's find out value of cos\alpha  using above formula:

cos\alpha  = \sqrt{1- (sin\alpha } )^{2}

⇒ cos\alpha  = \sqrt{1- (sin\alpha } )^{2}

⇒ cos\alpha  = \sqrt{1- (-0.8 } )^{2}

⇒ cos\alpha  = \sqrt{1- (0.64 } )^{}

⇒ cos\alpha  = \sqrt{0.36}

⇒ cos\alpha  = 0.6

But we know that cos\alpha is negative in third quadrant , Therefore cos\alpha  = -0.6.

Hence, correct option is D) -0.6.

3 0
3 years ago
.Using a table of values, determine the solution to the equation below to the nearest fourth of a unit. x+4= -3^x+4
Oxana [17]
Remark
The very first thing you should do with a question like this is get the graph. Then you will know what you are looking for. I have provided you with such a graph. Your table should center around -2 ≤ x ≤ -1

So let's set up a table and see what we get. Start with y = x + 5

x             x + 5
-1           4
-1.25      3.75
-1.5        3.5
-1.75      3.25
-2           3

Do the same thing for - (3)^x + 4 See below to see how this is entered your calculator

x            -(3)^x + 4
-1           3.66
-1.25      3.75
-1.5        3.8
-1.75      3.85
-2           3.89

Conclusion
When x = - 1.25 y = 3.75 for both graphs. <<<< Answer

Footnote
You may not be familiar with how to put this in your calculator. This is the way I would do it. I'm only doing it for y = -(3^x) + 4

Let x = - 1.25
3
^ Note your calculator might have x^y or y^x. You'll have 1 of the three.
1.25
+/- 
=
X
1
+/-
=     At this point you should have -0.25
+
4
= 
That gives you 3.75



5 0
3 years ago
Whats 20 3/4-18 2/3 ASAP IM IN CLASS RIGHT NOW
Sidana [21]

Answer:

17.9- decimal form 17 9/10- fraction form.

Step-by-step explanation:

ez.

3 0
3 years ago
How do you solve 7 squared?
Lera25 [3.4K]

Answer:

7 squared is 49, 9 cubed is 729 im not sure what the third one is

Step-by-step explanation:

7x7= 49

9x9x9=729

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8 0
4 years ago
Read 2 more answers
4x+3y=1 2x+5y=11 solve for x and y
Ann [662]

4x+3y=1 2x+5y=11

We'll need to use system of equations for this one.

4x+3y=1

3y=1-4x

y=-4/3x+1/3

2x+5y=1

5y=1-2x

y=-2x/5+1/5

Set these two equations equal to each other and solve for x.

-2x/5+1/5=-4/3x+1/3

x=1/7

Then plug x in to solve for y.

y=-2(1/7)/5+1/5

y=1/7

8 0
4 years ago
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