Answer:
x=−6−√105 or x=−6+√105
Step-by-step explanation:
Set the function equal to 0
0=x²+12x−69 Subtract x² from both sides.
0−x²=x²+12x−69−x²
−x²=12x−69 Subtract 12x from both sides.
−x²−12x=12x−69−12x
−x²−12x=−69 Divide both sides by -1.
x²+12x=69 Add (12/2)^2=36 to both sides to complete the square.
x²+12x+36=69+36
x²+12x+36=105 Factor left side.
(x+6)²=105 Take square root of both sides
x+6=±√105 Add -6 to both sides.
x+6+−6=−6±√105
x=−6±√105 Write out both solutions
x=−6−√105 or x=−6+√105
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Answer:
the area of the front face would be 40 square inches.
Step-by-step explanation:
to find the are of a rectangle, you multiply the length times the width. we can see that the length is 8 inches at the bottom of the front face and we can see that width is 5 inches next to the left side face. if we take those two numbers (5 and 8) and multiply them, we get 40. all you have to do after that is add "square inches" to the end because when you find the area of something, it will be squared and the measurement used in inches.
Answer:
68 %
Step-by-step explanation:
The Empirical rule formula states that:
• 68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ.
• 95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ.
• 99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ.
Mean of 96 and a Standard deviation of 17
Applying , the first empirical rule for 1 standard deviation from the mean, we have:
μ - σ
96 - 17
= 79
μ + σ
96 + 17
= 113
Therefore, the percentage of IQ scores that are between 79 and 113 is 68%
All you do is change signs write 2x minus 14 equals negative 10-14 equals four then you write 2x over two equals four over two then u write x equals negative two
Formula for area of triangle is Base times height divided by 2 equals Area
Or
B×H÷2=Area so it would be
15.25×18=274.5
Divided by 2 =137.25 inches