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Nadya [2.5K]
3 years ago
5

X+2y=9 and x=2y+1helppppppppppppppppp meeeeereeer​

Mathematics
2 answers:
Anastasy [175]3 years ago
6 0

Answer:

  • (5, 2)

Step-by-step explanation:

<u>Given system:</u>

  • x + 2y = 9
  • x = 2y + 1

<u>Solve for y by substitution:</u>

  • (2y + 1) + 2y = 9
  • 4y + 1 = 9
  • 4y = 8
  • y = 2

<u>Find the value of x:</u>

  • x = 2*2 + 1
  • x = 5
skelet666 [1.2K]3 years ago
5 0

Answer: y = 2

Step-by-step explanation:

we need to use systems of equations, basically since we know what x equals, we plug that into first equation so:

since x=2y+1,

we can say that:

(2y+1)+2y=9

then we solve this equation,

first we expand the brackets- 2y+1+2y=9,

then we combine like terms- 4y+1=9

then we take 1 away from both sides- 4y=8

then we divided both sides by 4

y=2

Hope this helps xx

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What are the zeros of f(x)=x^2+3x-10
vekshin1

You must remember that a polynomial is written like so...

ax^2 + bx + c

In this case...

a = 1

b = 3

c = -10

To factor you must find two numbers who both add up to b (3) AND multiply to c (-10)

-2 + 5 = 3

-2 * 5 = -10

so...

(x - 2)(x + 5)

To find the zero you must set each factor equal to zero and solve for for x like so...

x - 2 = 0

x = 2

x + 5 = 0

x = -5

Hope this helped!

~Just a girl in love with Shawn Mendes

4 0
3 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=%5Clim_%7Bx%5Cto%20%5C%200%7D%20%5Cfrac%7B%5Csqrt%7Bcos2x%7D-%5Csqrt%5B3%5D%7Bcos3x%7D%20%7D%7
salantis [7]

Answer:

\displaystyle  \lim_{x \to 0} \frac{\sqrt{cos(2x)} - \sqrt[3]{cos(3x)}}{sin(x^2)} = \frac{1}{2}

General Formulas and Concepts:

<u>Calculus</u>

Limits

Limit Rule [Variable Direct Substitution]:                                                                     \displaystyle \lim_{x \to c} x = c

L'Hopital's Rule

Differentiation

  • Derivatives
  • Derivative Notation

Basic Power Rule:

  1. f(x) = cxⁿ
  2. f’(x) = c·nxⁿ⁻¹

Derivative Rule [Chain Rule]:                                                                                    \displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)

Step-by-step explanation:

We are given the limit:

\displaystyle  \lim_{x \to 0} \frac{\sqrt{cos(2x)} - \sqrt[3]{cos(3x)}}{sin(x^2)}

When we directly plug in <em>x</em> = 0, we see that we would have an indeterminate form:

\displaystyle  \lim_{x \to 0} \frac{\sqrt{cos(2x)} - \sqrt[3]{cos(3x)}}{sin(x^2)} = \frac{0}{0}

This tells us we need to use L'Hoptial's Rule. Let's differentiate the limit:

\displaystyle  \lim_{x \to 0} \frac{\sqrt{cos(2x)} - \sqrt[3]{cos(3x)}}{sin(x^2)} = \displaystyle  \lim_{x \to 0} \frac{\frac{-sin(2x)}{\sqrt{cos(2x)}} + \frac{sin(3x)}{[cos(3x)]^{\frac{2}{3}}}}{2xcos(x^2)}

Plugging in <em>x</em> = 0 again, we would get:

\displaystyle \lim_{x \to 0} \frac{\frac{-sin(2x)}{\sqrt{cos(2x)}} + \frac{sin(3x)}{[cos(3x)]^{\frac{2}{3}}}}{2xcos(x^2)} = \frac{0}{0}

Since we reached another indeterminate form, let's apply L'Hoptial's Rule again:

\displaystyle \lim_{x \to 0} \frac{\frac{-sin(2x)}{\sqrt{cos(2x)}} + \frac{sin(3x)}{[cos(3x)]^{\frac{2}{3}}}}{2xcos(x^2)} = \lim_{x \to 0} \frac{\frac{-[cos^2(2x) + 1]}{[cos(2x)]^{\frac{2}{3}}} + \frac{cos^2(3x) + 2}{[cos(3x)]^{\frac{5}{3}}}}{2cos(x^2) - 4x^2sin(x^2)}

Substitute in <em>x</em> = 0 once more:

\displaystyle \lim_{x \to 0} \frac{\frac{-[cos^2(2x) + 1]}{[cos(2x)]^{\frac{2}{3}}} + \frac{cos^2(3x) + 2}{[cos(3x)]^{\frac{5}{3}}}}{2cos(x^2) - 4x^2sin(x^2)} = \frac{1}{2}

And we have our final answer.

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Limits

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Step-by-step explanation:

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4 raised to power two minus 8u minus 9=0​
coldgirl [10]

Answer:

x can be 3, -3, i, or -i.

Step-by-step explanation:

If you can't find the factoring by looking at this, simplify the equation.

let  

x

2

=

y

to make things easier to see

Now we have  

y

2

−

8

y

−

9

=

0

See it now?

We can factor into  

(

y

−

9

)

(

y

+

1

)

Now substitute back in  

x

2

for  

y

.

(

x

2

−

9

)

(

x

2

+

1

)

Since  

(

x

2

−

9

)

is a difference of two squares,

(

x

−

3

)

(

x

+

3

)

Now we have  

(

x

−

3

)

(

x

+

3

)

(

x

2

+

1

)

x can be 3, -3 for the first two parts

x

2

+

1

=

0

can become  

x

2

=

−

1

Taking the positive and negative root means  

x

=

±

√

−

1

Thus  

x

=

±

i

in addition to 3 and -3.

4 0
3 years ago
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Find the x -intercept of the line whose equation is 10 x + 3 y = 1. <br> 1/3 <br> 1/10<br> 1
prisoha [69]

the answer 1/10 hope that is correct



3 0
3 years ago
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