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3 years ago

Rewrite the function by completing the square f(x)=x^2-4x-26

Mathematics

1 answer:

leonid [27]3 years ago

8 0

Answer:

(x - 2)² - 30

Step-by-step explanation:

To complete the square

add/subtract ( half the coefficient of the x- term )² to x² - 4x

f(x) = x² + 2(- 2)x + 4 - 4 - 26 = (x - 2)² - 30

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Sara is collecting signatures to pu on her towns ballot. So far, she has 432 signatures. This is 36% of the number of signatures

In-s [12.5K]

Sara needs to collect 1200 signatures.

Step-by-step explanation:

Let,

x be the total number of signatures she needs to collect

Given percentage = 36%

Signature collected = 432

According of statement;

36% of x = 432

$\frac{36}{100}*x=432\\$

$\frac{36x}{100}=432\\Multiplying\ both\ sides\ by 100\\100*\frac{36x}{100}=432*100\\36x=43200\\Dividing\ both\ sides\ by\ 36\\\frac{36x}{36}=\frac{43200}{36}\\x=1200$

Sara needs to collect 1200 signatures.

Keywords: Percentage, Division

Learn more about percentages at:

#LearnwithBrainly

6 0

3 years ago

1. There are two differnt maps of Ohio. The scale on the first map is 1 cm to 10 km. The distance from Cleveland to Cincinnati i

xeze [42]

Answer:

1. 0.8 cm

2. 1.6 cm

Step-by-step explanation:

The scale for 2nd map is 1 cm to 50 km, that means "1 cm on map" is "50 km in real life".

We already know distance from Cleveland to Cincinnati is 40 km, which is less than 50, so we know the distance on map would be less than 1 cm.

So we set up ratio and figure out (let x be distance on map from Cleveland to Cincinnati):

$\frac{1}{50}=\frac{x}{40}\\50x=40\\x=\frac{40}{50}\\x=0.8$

Hene, 0.8 centimeters would be the distance in 2nd map

A scale of 1:50 means 1 cm equal 50 cm

So, 0.8m would be

0.8 * 100 = 80 cm

Hence, 80 cm would be represented by 80/50 on the map, that is:

$\frac{80}{50}=1.6$

That is 1.6 centimeters

7 0

3 years ago

Need help very fast pls

Butoxors [25]

Y = 1x -5

Hope this helps!!!

5 0

3 years ago

Read 2 more answers

Angle 1 and angle 2 form a linear pair. The measure of angle 2 is six more than twice the measure of angle 1. Find m angle 2

Mekhanik [1.2K]

Since the given problem states that the two angles, angle 1 and angle 2 form a linear pair, this means that they form a 180° line, so that:

measure angle 1 + measure angle 2 = 180°

Since measure of angle 2 is six more than twice the measure of angle 1, therefore:

measure angle 2 = 2 (measure angle 1) + 6

hence, substituting this into the first equation:

measure angle 1 + 2 (measure angle 1) + 6 = 180

3 (measure angle 1) = 174

measure angle 1 = 58°

Therefore,

measure angle 2 = 2 (measure angle 1) + 6

measure angle 2 = 2 (58°) + 6

<span>measure angle 2 = 122°</span>

6 0

3 years ago

Evaluate 5xy power 2 when x=3 and y=2

nika2105 [10]

5 times 3 = 15 times 2 = 30 to the power of 2 = 900.

If this was the appropriate answer make sure to mark as the brainliest!
-procklown

4 0

3 years ago

Read 2 more answers