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3 years ago

One-third of Olivia age , increased by 12 , is equal to twice her age , decrease by 3. How old is Olivia

Mathematics

2 answers:

Simora [160]3 years ago

6 0

Answer:9

Step-by-step explanation:

mario62 [17]3 years ago

4 0

Answer:

she would be 9

Step-by-step explanation:

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Simplify the expression: 6 x6 y5

timurjin [86]

$\dfrac{6x^6y^5}{3x^3y^3}=\dfrac{6}{3}x^{6-3}y^{5-3}=2x^3y^2\to\boxed{D)}\\\\Used:\\\\\dfrac{a^n}{a^m}=a^{n-m}$

3 0

3 years ago

I NEED HELP PLS THIS IS DUE IN 3 HOURS

Mariulka [41]

Answer:

Part 1) $x^{2} -2x-2=(x-1-\sqrt{3})(x-1+\sqrt{3})$

Part 2) $x^{2} -6x+4=(x-3-\sqrt{5})(x-3+\sqrt{5})$

Step-by-step explanation:

we know that

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}$

Part 1)

in this problem we have

$x^{2} -2x-2=0$

$a=1\\b=-2\\c=-2$

substitute in the formula

$x=\frac{-(-2)(+/-)\sqrt{-2^{2}-4(1)(-2)}} {2(1)}\\\\x=\frac{2(+/-)\sqrt{12}} {2}\\\\x=\frac{2(+/-)2\sqrt{3}} {2}\\\\x_1=\frac{2(+)2\sqrt{3}} {2}=1+\sqrt{3}\\\\x_2=\frac{2(-)2\sqrt{3}} {2}=1-\sqrt{3}$

therefore

$x^{2} -2x-2=(x-(1+\sqrt{3}))(x-(1-\sqrt{3}))$

$x^{2} -2x-2=(x-1-\sqrt{3})(x-1+\sqrt{3})$

Part 2)

in this problem we have

$x^{2} -6x+4=0$

$a=1\\b=-6\\c=4$

substitute in the formula

$x=\frac{-(-6)(+/-)\sqrt{-6^{2}-4(1)(4)}} {2(1)}$

$x=\frac{6(+/-)\sqrt{20}} {2}$

$x=\frac{6(+/-)2\sqrt{5}} {2}$

$x_1=\frac{6(+)2\sqrt{5}}{2}=3+\sqrt{5}$

$x_2=\frac{6(-)2\sqrt{5}}{2}=3-\sqrt{5}$

therefore

$x^{2} -6x+4=(x-(3+\sqrt{5}))(x-(3-\sqrt{5}))$

$x^{2} -6x+4=(x-3-\sqrt{5})(x-3+\sqrt{5})$

5 0

3 years ago

Now, simplify the expression in part A, and explain what the number means with regard to the problem.

Anna35 [415]

Answer: |37.62 - (47.87)| = |37.62 + 47.87| = |85.49| = 85.49

The distance (in degrees) between the longitude lines of Moscow and Brasilia is 85.49 degrees.

Step-by-step explanation:

This is the literal answer for Edmentum. You can also just copy :) Hope this helped

8 0

3 years ago

How do I solve 9x-4= -44

gulaghasi [49]

9x - 4 = -44
•add 4 to both sides to isolate the variable
9x = -40
•divide both sides by 9 to isolate the variable
x = -40/9 or −4.444...

6 0

3 years ago

A kennel has 8 adult dogs and 14 puppies. What is the ratio of adult dogs to puppies? Use a multiplicative comparison to explain

umka2103 [35]

14 to 8 14/8 = (14 ÷ 2)/(8 ÷ 2) = 7/4 = 1 3/4 Your answer is 1 and 3/4

6 0

3 years ago