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Norma-Jean [14]

2 years ago

10

Y=x^(2) -2x - 3 and y = x - 3

1 answer:

Oliga [24]2 years ago

5 0

Answer:

(0, -3) and (3, 0)

Explanation:

1st equation: y = x² -2x - 3

2nd equation : y = x - 3

Using substitution method:

x² -2x - 3 = x - 3 <em>exchange sides</em>

x² - 2x - x - 3 + 3 = 0 <em>simplify</em>

x² - 3x = 0 <em> take common factor</em>

x(x - 3) = 0 <em>simplify</em>

x = 0, 3

Solve for y:

when x is 0, y = x - 3 = 0 - 3 = -3

when x is 3, y = x - 3 = 3 - 3 = 0

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The sequence a, = 8, 13, 18, 23,...is the same as the sequence ay = 8,

KengaRu [80]

Answer:

True

Step-by-step explanation:

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6 0

3 years ago

Simplify using only POSITIVE exponents:

pickupchik [31]

So here are a few rules with exponents that you should know:

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Powering a power to a power: $(x^m)^n=x^{m*n}$
Converting a negative exponent to a positive one: $x^{-m}=\frac{1}{x^m}\ \textsf{and}\ \frac{1}{x^{-m}}=x^m$

<h2>1.</h2>

Firstly, solve the outside exponent:

$(2x^3y^7)^{-2}=2^{-2}x^{3*-2}y^{7*-2}=2^{-2}x^{-6}y^{-14}$

Next, convert the negative exponents into positive ones:

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<u>Your final answer is $\frac{1}{4x^6y^{14}}$ </u>

<h2>2.</h2>

For this, just divide:

$\frac{12x^5y^3}{4x^{-1}}=\frac{12}{4}x^{5-(-1)}y^{3-0}=3x^6y^3$

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<h2>3.</h2>

For this, convert all negative exponents into positive ones:

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3 0

4 years ago

1cm 8cm 4cm: surface area

valkas [14]

Answer:

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6 0

3 years ago

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If f(x)= 3x-1 and g(x)=2x-3, for which value of x does g(x)= f(2)

gregori [183]

Answer:

g(4)=f(2)

Step-by-step explanation:

f(2)=3(2)-1

f(2)=6-1

f(2)=5

We then get:

g(x)=f(2)

subsitute 5 for f(2)

g(x)=5

now solve

5=2x-3

add 3

8=2x

divide 2

4=x

so the answer is x=4 or

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7 0

3 years ago

This is hard i need help

taurus [48]

Answer:

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3 0

3 years ago

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