Answer:
x = -1.5
General Formulas and Concepts:
<u>Pre-Alg</u>
- Order of Operations: BPEMDAS
- Equality Properties
Step-by-step explanation:
<u>Step 1: Define equation</u>
0.2x + 1 = 1.6x + 3.1
<u>Step 2: Solve for </u><em><u>x</u></em>
- Subtract 0.2x on both sides: 1 = 1.4x + 3.1
- Subtract 3.1 on both sides: -2.1 = 1.4x
- Divide both sides by 1.4: -1.5 = x
- Rewrite: x = -1.5
<u>Step 3: Check</u>
<em>Plug in x to verify it's a solution.</em>
- Substitution: 0.2(-1.5) + 1 = 1.6(-1.5) + 3.1
- Multiply: -0.3 + 1 = -2.4 + 3.1
- Add: 0.7 = 0.7
Answer:
Eva's age is 44 years
Step-by-step explanation:
Let
x ----> Brita's age
y ----> Eva's age
we know that
The sum or their ages 118
so
----> equation A
The difference in age between Brita and her daughter Eva is 30 years
so
----> equation B
Solve the system by elimination
Adds equation A and equation B
![x+y=118\\x-y=30\\---------\\x+x=118+30\\2x=148\\x=74](https://tex.z-dn.net/?f=x%2By%3D118%5C%5Cx-y%3D30%5C%5C---------%5C%5Cx%2Bx%3D118%2B30%5C%5C2x%3D148%5C%5Cx%3D74)
<em>Find the value of y</em>
substitute the value of x in any equation
![74+y=118\\y=118-74\\y=44](https://tex.z-dn.net/?f=74%2By%3D118%5C%5Cy%3D118-74%5C%5Cy%3D44)
therefore
Eva's age is 44 years
2 x y2 + 2 x 3 y3 + 3y + 7 y2 + 7
Answer:
f(x) = (-4/5)*x + 4
Step-by-step explanation:
The line which passes through these points will decrease y by 12 for every x increase of 15. This is the same as decreasing y by 4 for every x increase of 5. This means the slope (rise over run) is -4/5. If this is applied to the first point to find what y is at 0, then the point (0, 4) is on the line.
This means that f(x) = (-4/5)*x + 4
Answer:A. judgment sampling
Step-by-step explanation: Judgement sampling also known as judgemental sampling is a non probability sampling technique that gives the researcher the opportunity to choose his or her sampling based on his or her knowledge of the study subject and the samples.
In judgemental samplings are likely to have some bias based on some important part of the population that may not have been identified and considered during the sampling process.