1. 3x² + 12x - 15 = 0
x = <u>-(12) +/- √((12)² - 4(3)(-15))</u>
2(3)
x = <u>-12 +/- √(144 + 180)</u>
6
x = <u>-12 +/- √(324)
</u> 6<u>
</u> x = <u>-12 +/- 18 </u>
6
x = -2 <u>+</u> 3
x = -2 + 3 x = -2 - 3
x = 1 x = -5
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2. 5x² + 11x + 2 = 0
x = <u>-(11) +/- √((11)² - 4(5)(2))</u>
2(5)
x = <u>-11 +/- √(121 - 40)</u>
10
x = <u>-11 +/- √(81)
</u> 10
x = <u>-11 +/- 9</u>
10
x = -1¹/₁₀ <u>+</u> ⁹/₁₀
x = -1¹/₁₀ + ⁹/₁₀ x = -1¹/₁₀ - ⁹/₁₀
x = ¹/₅ x = -2
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3. 2x² - 11x + 14 = 0
x = <u>-(-11) +/- √((-11)² - 4(2)(14))</u>
2(3)
x = <u>11 +/- √(121 - 102)</u>
6
x = <u>11 +/- √(9)</u>
6
x = <u>11 +/- 3</u>
6
x = 1⁵/₆ <u>+</u> ¹/₂
x = 1⁵/₆ + ¹/₂ x = 1⁵/₆ - ¹/₂
x = 2¹/₃ x = 1¹/₃
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4. 2x² - x - 15 = 0
x = <u>-(-1) +/- √((-1)² - 4(2)(-15))</u>
2(2)
x = <u>1 +/- √(1 + 120)</u>
4
x = <u>1 +/- √(121)</u>
4
x = <u>1 +/- 11</u>
4
x = ¹/₄ <u>+</u> 2³/₄
x = ¹/₄ + 2³/₄ x = ¹/₄ - 2³/₄
x = 3 x = 2¹/₂
<u />
The number of his next 42 field goals the kicker will not make will be 35.
<h3>What are ratio and proportion?</h3>
A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.
A kicker made 10 of his last 12 field goals.
Predict the number of his next 42 field goals the kicker will not make will be
Let x be the number of his next 42 field goals the kicker will not make.
Then we have
x / 10 ≠ 42 / 12
x ≠ 35
More about the ratio and the proportion link is given below.
brainly.com/question/14335762
#SPJ1
Answer:
Roughly 1.3
Step-by-step explanation:
Since we know that a quarter of the way to her basketball practice is 1/3 a mile, we just multiply 1/3 by 4 times to get our answer.
1/3 * 4 = 1.33~
Remark
You sure do have to read that a couple of times.
The quotient is an answer after a division takes place So you are dividing x/3
When you have figured out that phrase you add six onto it.
(x/3) + 6 > 14 Subtract 6 from both sides.
(x/3) +6 - 6 > 14 - 6
(x/3) > 8 Now multiply by 3
x > 8*3
x > 24 <<<<<< Answer
The given matrix represent the following linear system
4x - 7y = -12
-14x + 4y = 4
Good luck!!!
