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3 years ago

What are the solutions to y=10x2+29x−21

Mathematics

1 answer:

Jlenok [28]3 years ago

6 0

Answer:

x 2 +(29/10)x-(21/10) = 0 Add 21/10 to both side of the equation : x 2 +(29/10)x = 21/10 Now the clever bit: Take the coefficient of x , which is 29/10 , divide by two, giving 29/20 , and finally square it giving 841/400 Add 841/400 to both sides of the equation

Step-by-step explanation:

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Zarrin [17]

The measures of two complementary angles are 64 degrees and 26 degrees

<h3><u>Solution:</u></h3>

Let the larger angle be "a" and smaller angle be "b"

<em>Two angles are Complementary when they add up to 90 degrees</em>

so we get,

a + b = 90 ------ eqn 1

Given that measure of the larger angle is 12 more than twice the measure of the smaller angle

larger angle = 12 + 2(smaller angle)

a = 12 + 2b --- eqn 2

<em><u>Let us solve eqn 1 and eqn 2 to get values of "a" and "b"</u></em>

Substitute eqn 2 in eqn 1

12 + 2b + b = 90

12 + 3b = 90

3b = 90 - 12

3b = 78

Therefore from eqn 2,

a = 12 + 2b

a = 12 + 2(26)

a = 12 + 52

Thus the measures of two complementary angles are 64 degrees and 26 degrees

7 0

3 years ago

From previous polls, it is believed that 66% of likely voters prefer the incumbent. A new poll of 500 likely voters will be cond

Vladimir79 [104]

Answer:

The mean and standard deviation of the number preferring the incumbent is mean = 330, standard deviation = 10.59.

Step-by-step explanation:

We are given that From previous polls, it is believed that 66% of likely voters prefer the incumbent.

A new poll of 500 likely voters will be conducted. In the new poll the proportion favoring the incumbent has not changed.

Let p = probability of voters preferring the incumbent = 66%

n = number of voters polled = 500

<u>So, the mean of the number preferring the incumbent is given by;</u>

Mean = $n \times p$ = $500 \times 0.66$

= 330 voters

<u>And, standard deviation of the number preferring the incumbent is given by;</u>

Variance = $n \times p\times (1-p)$

= $500 \times 0.66 \times (1-0.66)$

= 112.2

So, Standard deviation = $\sqrt{Variance}$

= $\sqrt{112.2}$ = 10.59

7 0

2 years ago

When Anders make scones he uses sugar, butter and flour in the ration 2:3:6. Hehas 200g of sugar, 300g of butter and 450g of flo

katovenus [111]

The amounts of sugar, butter, and flour used are 150 grams, 225 grams, and 450 grams, respectively.

Anders makes scones with three ingredients : sugar, butter, and flour. The ratio of the amounts of sugar, butter, and flour is 2:3:6. The available amounts of the ingredients in the kitchen include 200 grams of sugar, 300 grams of butter, and 450 grams of flour. He makes as many scones as he can with these ingredients.

Let the amounts of sugar, butter, and flour be 2x, 3x, and 6x, respectively. The maximum proportion is for flour. The amount of flour used is 450 grams. The amount of butter used is half of that of the flour. The amount of sugar is one-third of that of flour.

B = (3x/6x)*450 = 225

S = (2x/6x)*450 = 150

To learn more about ratio, visit :

brainly.com/question/13419413

#SPJ9

4 0

10 months ago

What is 8^2 + 15^2= c^2

Tasya [4]

Answer:

$8^2\:+\:15^2=\:c^2$