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3 years ago

Substitution or Elimination.

1 answer:

5 0

It's a simultaneous equation ^^; So basically I first look at the number in front of the Y values (if they aren't the same you have to multiply each equation by the other number in front of Y in the second line and vice versa but anyways) you add the two equations if they are the same so: -3x+2y=23 + 5x+2y = -17 which should give you 2x=40 then divide by two to get x put your x answer back into the top or bottom equation (your call ^^;) and then work out what must be the Y value! I really hope this helps! ^^;

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P³ = 1/8 please help me if anybody can .

ivanzaharov [21]

Answer:

$p= \dfrac{1}{2}$

Step-by-step explanation:

Given equation:

$p^3=\dfrac{1}{8}$

Cube root both sides:

$\implies \sqrt[3]{p^3}= \sqrt[3]{\dfrac{1}{8}}$

$\implies p= \sqrt[3]{\dfrac{1}{8}}$

$\textsf{Apply exponent rule} \quad \sqrt[n]{a}=a^{\frac{1}{n}}:$

$\implies p= \left(\dfrac{1}{8}\right)^{\frac{1}{3}}$

$\textsf{Apply exponent rule} \quad \left(\dfrac{a}{b}\right)^c=\dfrac{a^c}{b^c}:$

$\implies p= \dfrac{1^{\frac{1}{3}}}{8^{\frac{1}{3}}}$

$\textsf{Apply exponent rule} \quad 1^a=1:$

$\implies p= \dfrac{1}{8^{\frac{1}{3}}}$

Rewrite 8 as 2³:

$\implies p= \dfrac{1}{(2^3)^{\frac{1}{3}}}$

$\textsf{Apply exponent rule} \quad (a^b)^c=a^{bc}:$

$\implies p= \dfrac{1}{2^{(3 \cdot \frac{1}{3})}}$

Simplify:

$\implies p= \dfrac{1}{2^{\frac{3}{3}}}$

$\implies p= \dfrac{1}{2^{1}}$

$\implies p= \dfrac{1}{2}$

3 0

1 year ago

Read 2 more answers

Due to gravity, an object falls 16t^2 feet in t seconds. You drop a backpack from a window that is 20 feet above the ground. Wil

sukhopar [10]

Answer:

Step-by-step explanation:

Let h(t) represent the distance the pack is located above the ground at time t. Then h(t) = 20 ft - 16t^2 ft. Notice how h = 20 ft (the initial height) and that it decreases as t increases.

How long does it take for the pack tohit the ground? Set h(t) = 0 and solve for t:

0 ft = 20 ft - 16t^2 ft yields 16t^2 ft = 20, or t^2 ft = 20/16, which is greater than 1. So the question "Will the backpack hit the ground in 1 second" is answered by NO.

3 0

3 years ago

Need help i don't understand

yKpoI14uk [10]

The second one brother

6 0

3 years ago

if a pineapple costs $p and a mango costs $q, write an algebraic expression, in dollars, in terms of p and q for the total cost

nadezda [96]

Answer: 5p + 3q

Explantation: 5 pineapples is going to be multiplied by p, the cost of 1. And 3 mangoes are going to be multiplied by q, the cost of 1. And adding the two totals together gives you the total cost.

7 0

3 years ago

Find the slope and the y-intercept of the graph of y=−7x+12.

Artemon [7]

Format: y = mx + b
m = slope, b = y intercept
Answer: slope: -7
Y intercept: 12

7 0

3 years ago