Mathematics, 02.08.2019 14:10 shanicar33500

Astudent raises her grade average from a 75 to a 90. what was the percent of increase in the student's grade average? round your answer to the nearest tenth of a percent, if necessary. (1 point) 20% 16.7% 8.3% 15% 2. beanbag chairs that normally sell for $36.50 are on sale for $32.12. find the percent of discount. round your answer to the nearest tenth of a percent, if necessary. (1 point) 88% 12% 13.6% 3.38% 3. last year, austin, texas received 23.5 inches of rainfall. this year, austin received 21.2 inches of rainfall. find the percent of decrease in the number of inches of rainfall. round your answer to the nearest tenth of a percent, if necessary. (1 point) 2.3% 9.8%

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Here are some formulas...
percent increase = (new number - original number) / original number...* 100
percent decrease = (original number - new number) / original number...* 100

a student raises her grade from a 75 to a 90since it is going from a smaller number to a larger number, u have an increase
percent increase = (90 - 75) / 70* 100
= 15/70 * 100
= 0.2142 * 100
= 21.42 rounds to 21.4% increase

36.50 on sale for 32.12...since it goes from a larger number to a smaller number, u have a decrease
percent decrease = (original number - new number) / original * 100
= (36.50 - 32.12) / 32.12...* 100
= 4.38 / 32.12...* 100
= 0.1363...* 100
= 13.63 rounds to 13.6% decrease

23.5 to 21.2this is a decrease
percent decrease = (original number - new number) / original...* 100
= (23.5 - 21.2) / 23.5* 100
= 2.3 / 23.5* 100
= 0.0979 * 100
= 9.79 rounds to 9.8% decrease

Answer from: Quest

You have 2 sides that are 2 cms and you have 6 sides that are 1/2 cm and you have 4 sides that are 1 cm. the smallest sides are 1/2 the medium sized sides are 1 and the smallest are 1/2. so to find the perimeter you have to add them all up together so your answer will be 11 cm's

Answer from: Quest

x= -3 and $x=\frac{-3+/-3i\sqrt{3} }{2}$

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

$(x^3-a^3)=$ $(x-a)(x^2+ax+a^2)$

where a is the cube root of $a^3$ .

here this is 27 and the cube root of 27 is 3. so we write using the form:

$(x-3)(x^2+(3)x+3^2)\\(x-3)(x^2+3x+9)$ .

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

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

where a = 1, b=3, and c=9

$x=\frac{-3+/-\sqrt{3^2-4(1)(9)} }{2(1)} \\x=\frac{-3+/-\sqrt{9-36)} }{2} \\x=\frac{-3+/-\sqrt{-27)} }{2}\\x=\frac{-3+/-3i\sqrt{3} }{2}$

this cubic has two complex roots.

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