Evaluate the expression when x = - 1/5 and y = 3/4 1: 4x + y 2: -| x

Write the equation of the line that passes through the point (-3, 6) and is parallel to the line

Ugo [173]

Answer:

$\because \:l_{1} \parallel \: l_{2} \\ \therefore m_{1} = m_{2} = \frac{1}{2} \\ \frac{y - 6}{x + 3} = \frac{1}{2} \\ y - 6 = \frac{1}{2}x + \frac{3}{2} \\ y = \frac{1}{2}x + \frac{3}{2} + 6\\ y = \frac{1}{2}x + \frac{15}{2}$

5 0

3 years ago

Read 2 more answers

Find the sum: 400 + 394 + 388 + .... - 32

romanna [79]

Answer:

1150 because 400 + 394 + 388 = 1182 - 32 = 1150.

6 0

2 years ago

Read 2 more answers

9m-m+3=-2(m+1) this thing wants 20 characters so..HI!

MrMuchimi

Answer:

m = -1/2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define

9m - m + 3 = -2(m + 1)

Step 2: Solve for m

Combine like terms: 8m + 3 = -2(m + 1)
Distribute -2: 8m + 3 = -2m - 2
Add 2m on both sides: 10m + 3 = -2
Isolate m term: 10m = -5
Isolate m: m = -1/2

6 0

2 years ago

Element X is a radioactive isotope such that its mass decreases by 26% every day. If an experiment starts out with 810 grams of

ioda

Answer:

The hourly decay rate is of 1.25%, so the hourly rate of change is of -1.25%.

The function to represent the mass of the sample after t days is $A(t) = 810(0.74)^t$

Step-by-step explanation:

Exponential equation of decay:

The exponential equation for the amount of a substance is given by:

$A(t) = A(0)(1-r)^t$

In which A(0) is the initial amount and r is the decay rate, as a decimal.

Hourly rate of change:

Decreases 26% by day. A day has 24 hours. This means that $A(24) = (1-0.26)A(0) = 0.74A(0)$ ; We use this to find r.

$A(t) = A(0)(1-r)^t$

$0.74A(0) = A(0)(1-r)^{24}$

$(1-r)^{24} = 0.74$

$\sqrt[24]{(1-r)^{24}} = \sqrt[24]{0.74}$

$1 - r = (0.74)^{\frac{1}{24}}$

$1 - r = 0.9875$

$r = 1 - 0.9875 = 0.0125$

The hourly decay rate is of 1.25%, so the hourly rate of change is of -1.25%.

Starts out with 810 grams of Element X

This means that $A(0) = 810$

Element X is a radioactive isotope such that its mass decreases by 26% every day.

This means that we use, for this equation, r = 0.26.

The equation is:

$A(t) = A(0)(1-r)^t$

$A(t) = 810(1 - 0.26)^t$

$A(t) = 810(0.74)^t$

The function to represent the mass of the sample after t days is $A(t) = 810(0.74)^t$

5 0

3 years ago

Yolanda is riding her bike. The number of revolutions (turns) her wheels make varies directly with the distance she travels. See

nadezda [96]

4 feet per revolution
Slope m=1/4

6 0

3 years ago

Read 2 more answers

Evaluate the expression when x = - 1/5 and y = 3/4 1: 4x + y 2: -| x | + y