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3 years ago

In the equation 3x^2-10x=8 please solve for x and show work ty !

Mathematics

2 answers:

RSB [31]3 years ago

8 0

Answer:

x=4,-2/3

Step-by-step explanation:

To solve for x, we first subtract 8 from both sides.

So 3x^2-10x-8=0

Using the quadratic formula, we get

X=(10+sqrt(100+96))/6 or x = (10-sqrt(100+96))/6

So x=(10+14)/6 or x=(10-14)/6

So x=4 or x=-2/3.

7nadin3 [17]3 years ago

3 0

Answer:

x=4 or x=-2/3.

Step-by-step explanation:

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What is the amplitude, period, and phase shift of f(x)=-4 sin (2x+3.14)-5

finlep [7]

Remember this: for a trig function of y = A sin(Bx + C) + D

amplitude is A
period is 2π/B
phase shift is −C/B
vertical shift is D

So the amplitude is -4, the period is π and the phase shift is -3.14/2 = 1.57.

8 0

3 years ago

A 135 kg scaffold is 6.60 m long. It is hanging with two wires, one from each end. A 440 kg box sits 1.70 m from the left end. W

Ne4ueva [31]

Answer:

Step-by-step explanation:

mass of scaffold, m = 135 kg

mass of box, m' = 440 kg

let the tension in the left wire is T.

take moments about the right end.

According to the diagram,

135 x g x 3.3 + 440 x g x (6.6 - 1.7) - T x 6.6 = 0

4365.9 + 21128.8 - T x 6.6 = 0

T x 6.6 = 25494.7

T = 3862.8 N

8 0

4 years ago

Julio spent $41 and now has no money left he had BLANK before his purchase. write the integer

timama [110]

Answer:

total = $41

Step-by-step explanation:

If Julio spent $41 and now has no money that means that after spending that money he was left with $0. Having both of these numbers we can make a very simple algebraic equation to find out his total before the purchase.

total - $41 = $0

Now we simply add $41 to both sides which will give us the actual amount of the total.

total - $41 = $0

+$41 +$40

-----------------------------

total = $41

Now we can see that Julio had a grand total of $41 before making his purchases.

4 0

3 years ago

Please answer this question

Tems11 [23]

$\bold{\huge{\underline{ Solution }}}$

<h3>Given :- </h3>

• $\sf{ Polynomial :- ax^{2} + bx + c }$

• The zeroes of the given polynomial are α and β .

<h3>Let's Begin :- </h3>

Here, we have polynomial

$\sf{ = ax^{2} + bx + c }$

We know that, 

Sum of the zeroes of the quadratic polynomial

$\sf{ {\alpha} + {\beta} = {\dfrac{-b}{a}}}$

And 

Product of zeroes

$\sf{ {\alpha}{\beta} = {\dfrac{c}{a}}}$

Now, we have to find the polynomials having zeroes :-

$\sf{ {\dfrac{{\alpha} + 1 }{{\beta}}} ,{\dfrac{{\beta} + 1 }{{\alpha}}}}$

Therefore ,

Sum of the zeroes

$\sf{ ( {\alpha} + {\dfrac{1 }{{\beta}}} )+( {\beta}+{\dfrac{1 }{{\alpha}}})}$

$\sf{ ( {\alpha} + {\beta}) + ( {\dfrac{1}{{\beta}}} +{\dfrac{1 }{{\alpha}}})}$

$\sf{( {\dfrac{ -b}{a}} ) + {\dfrac{{\alpha}+{\beta}}{{\alpha}{\beta}}}}$

$\sf{( {\dfrac{ -b}{a}} ) + {\dfrac{-b/a}{c/a}}}$

$\sf{ {\dfrac{ -b}{a}} + {\dfrac{-b}{c}}}$

$\bold{{\dfrac{ -bc - ab}{ac}}}$

Thus, The sum of the zeroes of the quadratic polynomial are -bc - ab/ac

Product of zeroes

$\sf{ ( {\alpha} + {\dfrac{1 }{{\beta}}} ){\times}( {\beta}+{\dfrac{1 }{{\alpha}}})}$

$\sf{ {\alpha}{\beta} + 1 + 1 + {\dfrac{1}{{\alpha}{\beta}}}}$

$\sf{ {\alpha}{\beta} + 2 + {\dfrac{1}{{\alpha}{\beta}}}}$

$\bold{ {\dfrac{c}{a}} + 2 + {\dfrac{ a}{c}}}$

Hence, The product of the zeroes are c/a + a/c + 2 .

We know that, 

For any quadratic equation

$\sf{ x^{2} + ( sum\: of \:zeroes )x + product\:of\: zeroes }$

$\bold{ x^{2} + ( {\dfrac{ -bc - ab}{ac}} )x + {\dfrac{c}{a}} + 2 + {\dfrac{ a}{c}}}$

Hence, The polynomial is x² + (-bc-ab/c)x + c/a + a/c + 2 .

<h3>Some basic information :-</h3>

• Polynomial is algebraic expression which contains coffiecients are variables.

• There are different types of polynomial like linear polynomial , quadratic polynomial , cubic polynomial etc.

• Quadratic polynomials are those polynomials which having highest power of degree as 2 .

• The general form of quadratic equation is ax² + bx + c.

• The quadratic equation can be solved by factorization method, quadratic formula or completing square method.

6 0

2 years ago

John bought 15 cookies and ate 3 of them he ate ___% of the cookies

PolarNik [594]

Answer:

20%

Step-by-step explanation:

Divide 3 by 15

3÷15=.20

Convert .20 to a percentage

20%

4 0

3 years ago