Answer:is c
Step-by-step explanation:
I did on usatestprep
The slope of a line is –2 and its y-intercept is (0, 3). What is the equation of the line that is parallel to the first line and passes through (2, 2)? A. 2x + y = 6 B. y = –2x + 3 C. 2003-10-03-00-00_files/i0060000.jpg D. y = –2x – 6
Answer:
The answer is A) 2x + y = 6
Step-by-step explanation:
Since the first line has a slope of -2, we know that the second does as well. We know this because parallel lines have the same slope. Now we can use that slope along with the point in point-slope form to get the equation.
y - y1 = m(x - x1)
y - 2 = -2(x - 2)
y - 2 = -2x + 4
y = -2x + 6
In this case, to find an equation that is similar, we could put it into standard for.
y = -2x + 6
2x + y = 6
This is answer A
uncle sammy invests money on stocks and makes 7 to 13 percent the range of money Uncle sammy will make if he invests his next paycheck of $2,300. express the solution set in set notation and interval notation.
So we are given an increase of 7% to 13%, so we multiply the capital with 1.07 and 1.13. So the range is:
minimum = $2,300 * 1.07 = $2,461
maximum = $2,300 * 1.13 = $2,599
The set notation is:
interest, X = {7%, 13%}
money, Y = {$2461, $2599}
The interval notation is:
[$2461, $2599]
Write an equation that describes the function.
Timothy bought concrete mix for several projects. He used
3.5 bags of concrete mix for a new set of stairs and 2.25 bags
of concrete mix for a garden wall. Timothy mixed
345 pounds of concrete in all.
a. Model with Math Write an equation that can be
represented by the bar diagram.
b. Solve for y. How many pounds of concrete does each bag make?
Answer:
The required model is [tex]3.5y+2.25y=345[/tex]
60 pounds of concrete each bag make.
Step-by-step explanation:
Consider the provided information.
Let the number of concrete bags are used is represented by y.
Part (A)
3.5 bags of concrete mix for a new set of stairs and 2.25 bags of concrete mix for a garden wall.
This can be written as:
[tex]3.5y+2.25y[/tex]
Timothy mixed 345 pounds of concrete in all.
Therefore, [tex]3.5y+2.25y=345[/tex]
Hence, the required model is [tex]3.5y+2.25y=345[/tex]
Part (B) Solve for y. How many pounds of concrete does each bag make?
Consider the above equation.
[tex]3.5y+2.25y=345[/tex]
Solve the equation for y as shown.
Add the like terms.
[tex]5.75y=345[/tex]
Divide both the sides by 5.75
[tex]y=60[/tex]
Hence, 60 pounds of concrete each bag make.
Use the definitions and theorems of this section to evaluate and simplify the following expression. Be sure to express answers with positive exponents. (b3)2
Answer:
[tex]b^6[/tex]
Step-by-step explanation:
Given expression is,
[tex](b^3)^2[/tex],
By the power rule of exponent,
[tex](a^m)^n=a^{mn}[/tex]
Thus, we can write,
[tex](b^3)^2=b^{3\times 2}=b^6[/tex]
Since, further simplification is not possible,
Hence, the simplified form of the given expression,
[tex]b^6[/tex]