Which equation has the same solution as x ^ 2

PLEASE HELP ASAP DUE TONIGHT NEED YOUR HELP WILL MARK THE BRAINLEST

Alchen [17]

1a.

$0.42 = \frac{0.42}{1} = \frac{42}{100} = \frac{21}{50}$

1b. Manipulate the numbers using algebra.

$100x = 42.2222. \\ 10x = 4.2222...$

Then, subtract and solve for x.

$90x = 38 \\ x = \frac{38}{90} \\ x = \frac{19}{45}$

1c. Same thing, manipulate the numbers.

$100x = 42.4242... \\ x = 0.4242...$

Again, subtract and solve for x.

$99x = 42 \\ x = \frac{42}{99} \\ x = \frac{14}{33}$

2a. Jacob is pulling the 3 out of the root operation without getting the root of it.

$\sqrt{75} = \sqrt{3} \times \sqrt{25 } = 5 \sqrt{3}$

2b. Without using a calculator, the only way that is feasible is by trial and error, using perfect squares. For example: you know

$\sqrt{3}$

is somewhere between 1 and 2, as these are the closest perfect square roots to it. Try a value, say 1.5.

${1.5}^{2} = 2.25$

Not bad, seems a bit low. Lets try 1.6.

${1.6}^{2} = 2.56$

Seems like we can go bigger. 1.7 this time.

${1.7}^{2} = 2.89$

Alright, we are getting close to 3. 1.8.

${1.8}^{2} = 3.24$

Oops, too big. But no problem, because we now know that the value we are looking for is between 1.7 and 1.8, meaning the first decimal place must be 7. Let's keep going.

${1.75}^{2} = 3.0625 \\ {1.74}^{2} = 3.0276 \\ {1.73}^{2} = 2.9929$

Alright, the value is between 1.73 and 1.74.

${1.735}^{2} = 3.01... \\ {1.734}^{2} = 3.006... \\ {1.733}^{2} = 3.003... \\ {1.732}^{2} = 2.999...$

Bingo, your approximation is 1.732.

3. Convert each number to a tenth-rounded decimal.

$\pi = 3.1$

$\sqrt{3} = 1.7$

Find the square root of 5 first, as then you only have to double it for the remaining number.

${2.5}^{2} = 6.25 \\ {2.3}^{2} = 5.29 \\ {2.2}^{2} = 4.84 \\ {2.25}^{2} = 5.0625 \\ \sqrt{5} = 2.2$

The reason I take the 2.5 is to see whether to round up or down.

Then the last one is double the previous.

$2 \sqrt{5} = 4.4$

3b.

$\sqrt{3} < \sqrt{5} < \pi< 2 \sqrt{5}$

Hope this all helps.

6 0

4 years ago

Which ordered pair is the best estimate for the solution of the system of equations?

Brums [2.3K]

For this case we have the following system of equations:

$y = - \frac {3} {4} x-2\\y = x + 6$

Equaling the equations we have:

$- \frac {3} {4} x-2 = x + 6\\-2-6 = (1+ \frac {3} {4}) x\\-8 = \frac {7} {4} x\\-32 = 7x\\x = \frac {-32} {7}\\x = -4.57$

The variable y:

$y = -4.57 + 6 = 1.43$

Thus, we can round the solution as:

$(x, y): (- 4.5; 1.5)$

It is verified with the graph

Answer:

Option C

7 0

4 years ago

Lupe can ride her bike at a rate of 20 mph when there is no wind. On one particular day, she rode 2 miles against the wind and n

miskamm [114]

Time = 3 miles / (20 mph - wind velocity)
time = 2 miles / (20 mph + wind velocity)

3 miles / (20 mph + wind velocity) = 2 miles / (20 mph - wind velocity)

3/2 = (20 mph + wind velocity) / (20 mph - wind velocity)

1.5 = (20 mph + wv) / (20 mph -wv)

30 mph -1.5wv = 20 mph -wv

10 mph = 2.5 wv

wind velocity = 4 mph

3 0

3 years ago

Read 2 more answers

Brainliest. Please aced and expert help me out here.

Cloud [144]

Answer:

The following statements are true.

A rhombus is a parallelogram with equal sides. In a parallelogram, opposite sides are equal.

The area of a rhombus is found using the formula A = b × h. b and h represents the base and height of the rhombus respectively.

The area is found the same way for both a rhombus and a parallelogram. The formula, area = base × height can be used for both rhombus and parallelogram.

Step-by-step explanation:

I'm not an ace nor a genius but here are the correct answers

8 0

3 years ago

50 POINTS!!! PLEASEEE HELPPP MEEE

lozanna [386]

X=8-√2 and 8+ √2
Please mark as brainest

5 0

3 years ago

Read 2 more answers

Which equation has the same solution as x ^ 2 - 10x + 18 = 0