4²+A = can someone simplify this please
2 answers:
You might be interested in
Answer:
Step-by-step explanation:
<u>Given</u> :
- y = 4x² + 8x - 12
4 cancels throughout.
- <u>y = x² + 2x - 4</u>
<u>Solving by quadratic formula</u> :
- x = -8 ± √(8)² - 4(4)(-12) / 8
- x = -8 ± √64 + 192 / 8
- x = -8 ± √256 / 8
- x = -8 ± 16 / 8
- x = -1 ± 2
- x = 1 and x = -3
∴ Hence, the x-intercepts are (1, 0) and (-3, 0). The roots of the equation are 1 and -3.
<em><u>Question:</u></em>
At a sale on winter clothing, Cody bought two pairs of gloves and four hats for $43.00. Tori bought two pairs of gloves and two hats for $30.00. What were the prices for the gloves and hats?
<em><u>Answer:</u></em>
Price of one pair of gloves is $ 8.5 and price of 1 hat is $ 6.5
<em><u>Solution:</u></em>
Let "g" be the price of one pair of gloves
Let "h" be the price of 1 hat
<em><u>Cody bought 2 pair of gloves and 4 hats for $43</u></em>
Therefore, we frame a equation as:
2 x price of one pair of gloves + 4 x price of 1 hat = 43
2g + 4h = 43 ----------- eqn 1
<em><u>Tori bought two pairs of gloves and two hats for $30.00</u></em>
Therefore, we frame a equation as:
2 x price of one pair of gloves + 2 x price of 1 hat = 30
2g + 2h = 30
Divide by 2
g + h = 15
g = 15 - h ----------- eqn 2
<em><u>Let us solve eqn 1 and eqn 2</u></em>
<em><u>Substitute eqn 2 in eqn 1</u></em>
2(15 - h) + 4h = 43
30 - 2h + 4h = 43
2h = 43 - 30
2h = 13
<h3>h = 6.5</h3><em><u>Substitute h = 6.5 in eqn 2</u></em>
g = 15 - 6.5
<h3>g = 8.5</h3>Thus price of one pair of gloves is $ 8.5 and price of 1 hat is $ 6.5