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3 years ago

What is the x-intercept of the graph 0f 27= -3x2?

Mathematics

1 answer:

jok3333 [9.3K]3 years ago

5 0

Answer:

x=±√−9

No real solutions.

Step-by-step explanation:

Step 1: Add 3x^2 to both sides.

27+3x2=−3x2+3x2

3x2+27=0

Step 2: Subtract 27 from both sides.

3x2+27−27=0−27

3x2=−27

Step 3: Divide both sides by 3.

3x2 /3 = −27 /3

x2=−9

Step 4: Take square root.

x=±√−9

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Artemon [7]

Answer:

$\huge\boxed{(2,\ 3);\ (-1,\ 6)}$

Step-by-step explanation:

$f(x)=x^2-2x+3\to y=x^2-2x+3\\f(x)=-x+5\to y=-x+5\\\\\left\{\begin{array}{ccc}y=x^2-2x+3&(1)\\y=-x+5&(2)\end{array}\right$

substitute (1) to (2):

$x^2-2x+3=-x+5$ add x to both sides

$x^2-2x+x+3=-x+x+5$

$x^2-x+3=5$ subtract 5 from both sides

$x^2-x+3-5=5-5$

$x^2-x-2=0\\\\x^2+x-2x-2=0\\\\x(x+1)-2(x+1)=0\\\\(x+1)(x-2)=0\iff x+1=0\ \vee\ x-2=0\\\\\boxed{x=-1\ \vee\ x=2}$

substitute the values of x to (2):

$x=-1\\\\y=-(-1)+5=1+5=6\\\\\huge\boxed{(-1,\ 6)}\\\\x=2\\\\y=-2+5=3\\\\\huge\boxed{(2,\ 3)}$

3 0

3 years ago

A coat at a store is originally priced at $54.99. The store marks the price down to $32.99. To the nearest percent, what is the

Dmitry_Shevchenko [17]

Answer:

66.6%

Step-by-step explanation:

Step one

given

A coat at a store is originally priced at $54.99

The store marks down the price down to $32.99

Required

the percent decrease

Step two:

the percent decrease= change in price/ old price*100

the percent decrease= 54.99-32.99/54.99*100

the percent decrease= 22/ 32.99*100

the percent decrease= 0.666*100

the percent decrease= 66.6%

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3 years ago

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mr Goodwill [35]

Answer:

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Step-by-step explanation:

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3 years ago

Complete the equation of the line through (−8,8), and (1,-10 ). Use exact numbers. Help me please my dog just died and I want to

katrin2010 [14]

Answer: (Mayadc821 wrote this anwser check theyre account for more)

Since you know the x and y values, you just have to plug these into the linear slope-intercept equation:

y = mx + b

-10 = m(1) + b

m + b = -10

b = -10 - m

Now that we have a value for b, we can plug this into the other equation:

8 = m(-8) + b

8 = -8m + (-10 - m)

8 = -9m -10

18 = -9m

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Now that we know what m is equal to, we can plug this into our first equation to get an answer for b:

b = -10 - m

b = -10 -(-2)

b = -10 + 2

b = -8

Our final equation is y = -2x - 8

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Studentka2010 [4]

Answer:

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Step-by-step explanation:

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2 years ago