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3 years ago

Find the x-intercepts for the quadratic function y= -1/2(x+3)^2 +4

Mathematics

1 answer:

irina1246 [14]3 years ago

8 0

Answer:

x= -3 +√2 ≈ -0.1716, and x = - 3 -2√2 ≈ -5.8284

Step-by-step explanation:

y= -1/2(x+3)² +4

For x -intercept, y = 0.

0 = - 1/2(x+3)² + 4 /*(-2)

0 = (x+3)² - 8

(x+3)² = 8

√(x+3)² = +/-√8

x+3 = +/-√8

x = - 3+/- 2√2

x= -3 +√2 ≈ -0.1716, and x = - 3-2√2 ≈ -5.8284

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One container is filled with mixture that is 25% acid. A second container is filled with a mixture that is 55% acid. The second

algol13

Answer:

Therefore the third container contains $\frac{735}{17}\%$ = 43.23 % acid.

Step-by-step explanation:

Given that, One container is filled with the mixture that 25% acid. 55% acid is contain by second container.

Let the volume of first container be x cubic unit.

Since the volume of second container is 55% larger than the first.

Then the volume of the second container is

$= (V\times \frac{100+55}{100})$ cubic unit.

$=\frac{155}{100}V$ cubic unit.

The amount of acid in first container is

$=V\times \frac{25}{100}$ cubic unit.

$=\frac{25}{100}V$ cubic unit.

The amount of acid in second container is

$=(\frac{155}{100}V \times \frac{55}{100})$ cubic unit.

$=\frac{8525}{10000}V$ cubic unit.

Total amount of acid $=(\frac{25}{100}V+\frac{8525}{10000}V)$ cubic unit.

$=(\frac{2500+8525}{10000}V)$ cubic unit.

$=(\frac{11025}{10000}V)$ cubic unit.

Total volume of mixture $=(V+\frac{155}{100}V)$ cubic unit.

$=\frac{100+155}{100}V$ cubic unit.

$=\frac{255}{100}V$ cubic unit.

The amount of acid in the mixture is

$=\frac{\textrm{The volume of acid}}{\textrm{The amount of mixture}}\times 100 \%$

$=\frac {\frac{11025}{10000}V}{\frac{255}{100}V}\times 100\%$

$=\frac{735}{17}\%$

Therefore the third container contains $\frac{735}{17}\%$ acid.

5 0

3 years ago

What is the quotient of 2/3/4 ÷ 1/4

yulyashka [42]

Answer:

Step-by-step explanation:

Do kcf (keep,change,flip)

First, covert 2 3/4 into an improper fraction

Then after you do that you get 11/4

so you do the equation 11/4 ÷ 1/4

when you do kcf it would be 11/4 × 4/1=

11/4×4/1=44/4 simplify divide both by 4 = 11

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2 years ago

2x - 11 = -8x + 14 Simplify

Sauron [17]

Answer:

x = 2.5

Step-by-step explanation:

2x - 11 = -8x + 14

Add 8x to both sides

10x - 11 = 14

Add 11 to both sides

10x = 25

Divide both sides by 10

x = 2.5

7 0

3 years ago

Read 2 more answers

Explain answer !! ( WILL GIVE BRAINLEST)

OLEGan [10]

Larissa: y = 250 - 25x

Chucho: y = 30 +30x

4 weeks

Step-by-step explanation: It says it in the problem, and you can see they cross at 4 weeks

4 0

2 years ago

Read 2 more answers

Given point B is located at

ELEN [110]

Answer: $\Large\boxed{Point~B'~=~(-4,~-2)}$

Step-by-step explanation:

Given information

Point B = (-2, -4)

Reflection line: y = x

Concept:

When reflecting over the line y = x, the position of y and x in the original coordinate switches places.

This is because it is " y = x ", assuming that they could interchange

Find the coordinate of Point B'

Original (x, y) = (-2, -4)

Point B' = (x', y') = (y, x) = $\Large\boxed{(-4,~-2)}$

Please refer to the attachment below for a graphical understanding

Hope this helps!! :)

Please let me know if you have any questions

4 0

1 year ago