Use elimination method - I am eliminaing the y-variable.
1(5x + 8y = 16) → 5x + 8y = 16
4(6x - 2y = 54) → 24x - 8y = 216
Add equations: 29x = 232
Divide by 29: x = 8
Answer: x = 8
Answer:
<em><u>z = -3</u></em>
Step-by-step explanation:
<u>Step 1: Simplify both sides of the equation.
</u>
z+7=−z+1
<u>Step 2: Add z to both sides.
</u>
z+7+z=−z+1+z
2z+7=1
<u>Step 3: Subtract 7 from both sides.
</u>
2z+7−7=1−7
2z=−6
<u>Step 4: Divide both sides by 2.
</u>
<u>2z</u> = <u>−6
</u>
2 2
z=−3
<span>A medical researcher wants to investigate the amount of time it takes for patients' headache pain to be relieved after taking a new prescription painkiller. She plans to use statistical methods to estimate the mean of the population of relief times. She believes that the population is normally distributed with a standard deviation of 18 minutes. How large a sample should she take to estimate the mean time to within 4 minutes with 97% confidence?
-----
n = [z*s/E]^2
---
n = [2.17*18/4]^2 = 96 when rounded up
</span>
The ratio of the sides EF/LM after the transformation is 1/8
<h3>
Transformation</h3>
Transformation is the movement of a point from its initial location to a new location. Types of transformation are <em>rotation, translation, reflection and dilation.</em>
Dilation is the increase or decrease in size of a figure by a factor while translation is the movement of a point up, down, left or right.
Given the tansformation:
- (x,y) → (8x, 8y) → (x - 4, y - 4).
- This means a dilation of CDEF by 8 and translated 4 units down and 4 units left.
Hence:
LM = 8 * EF
EF/LM = 1/8
The ratio of the sides EF/LM after the transformation is 1/8
Find out more on transformation at: brainly.com/question/1548871
Answer:105
Step-by-step explanation:
