An author would use an ellipsis to omit words from a quote to leave out unnecessary information. This allows the author to focus on the most relevant parts of the quote while maintaining the overall meaning.
Why would an author use an ellipsis to omit words from a quote?(1 point)
Responses
to create suspense
to add in additional thoughts
to add in additional thoughts
to leave out unnecessary information
to leave out unnecessary information
to break up the text
to break up the text
11 answers
Solve for x.
3x + 2 = x + 8
A.
1.5
B.
2.5
C.
3
D.
5
3x + 2 = x + 8
A.
1.5
B.
2.5
C.
3
D.
5
To solve the equation \(3x + 2 = x + 8\), follow these steps:
-
Subtract \(x\) from both sides: \[ 3x - x + 2 = 8 \] This simplifies to: \[ 2x + 2 = 8 \]
-
Subtract \(2\) from both sides: \[ 2x = 6 \]
-
Divide both sides by \(2\): \[ x = 3 \]
Thus, the value of \(x\) is C. 3.
what equation puts a plot at (2, 1) and at (0, 9)
To find the equation of a line that passes through the points \((2, 1)\) and \((0, 9)\), start by determining the slope (\(m\)) of the line using the slope formula:
\[ m = \frac{y_2 - y_1}{x_2 - x_1} \]
Using the points \((x_1, y_1) = (2, 1)\) and \((x_2, y_2) = (0, 9)\):
\[ m = \frac{9 - 1}{0 - 2} = \frac{8}{-2} = -4 \]
Now that we have the slope, we can use the point-slope form of the equation of a line, which is:
\[ y - y_1 = m(x - x_1) \]
Using point \((2, 1)\):
\[ y - 1 = -4(x - 2) \]
Expanding this equation:
\[ y - 1 = -4x + 8 \] \[ y = -4x + 9 \]
The equation of the line that passes through the points \((2, 1)\) and \((0, 9)\) is:
\[ \boxed{y = -4x + 9} \]
Which equations have infinitely many solutions? Select two that apply.
A. 6(x - 9) = 6x - 54 + x
B. 5(x - 8) + 10 = 5 (x + 2)
C. 20 - 8x - 6 = 2 (7 - 4x)
D. 4 (x + 4) = 2 (2x + 5) + 6
E. 2x + 9 = 18 + 2x
A. 6(x - 9) = 6x - 54 + x
B. 5(x - 8) + 10 = 5 (x + 2)
C. 20 - 8x - 6 = 2 (7 - 4x)
D. 4 (x + 4) = 2 (2x + 5) + 6
E. 2x + 9 = 18 + 2x
To find out which equations have infinitely many solutions, we need to check for identities, where both sides of the equation simplify to the same expression.
Let's analyze each equation:
A. \(6(x - 9) = 6x - 54 + x\)
Simplifying both sides:
- Left: \(6x - 54\)
- Right: \(6x - 54 + x = 7x - 54\)
This is not an identity.
B. \(5(x - 8) + 10 = 5(x + 2)\)
Simplifying both sides:
- Left: \(5x - 40 + 10 = 5x - 30\)
- Right: \(5x + 10\)
This is not an identity.
C. \(20 - 8x - 6 = 2(7 - 4x)\)
Simplifying both sides:
- Left: \(14 - 8x\)
- Right: \(14 - 8x\)
This is an identity. This equation has infinitely many solutions.
D. \(4(x + 4) = 2(2x + 5) + 6\)
Simplifying both sides:
- Left: \(4x + 16\)
- Right: \(4x + 10 + 6 = 4x + 16\)
This is an identity. This equation has infinitely many solutions.
E. \(2x + 9 = 18 + 2x\)
Simplifying both sides:
- Left: \(2x + 9\)
- Right: \(2x + 18\)
This is not an identity.
Summary:
The equations that have infinitely many solutions are C and D.
A salesman makes both a base salary and also a commission, which is a percentage of what he sells. Each month, if his sales total s dollars, he makes a total of 2,000 + 0.1s dollars. What does 2,000 represent?
A.
his monthly base salary in dollars
B.
the amount of his monthly sales in dollars
C.
his total monthly pay in dollars
D.
his monthly commission in dollars
A.
his monthly base salary in dollars
B.
the amount of his monthly sales in dollars
C.
his total monthly pay in dollars
D.
his monthly commission in dollars
In the equation representing the salesman's total earnings each month, \(2000 + 0.1s\), the \(2000\) is the fixed amount he earns regardless of his sales. This means that:
- A. his monthly base salary in dollars is correct.
The \(0.1s\) represents his commission, which is 10% of his sales, \(s\).
Therefore, the answer is A. his monthly base salary in dollars.
The value of a baseball card in dollars has been found to be 0.15y + 0.35, where y is the number of years since it was released. By how much is the baseball card's value increasing per year?
A.
$0.15
B.
$0.35
C.
15%
D.
35%
A.
$0.15
B.
$0.35
C.
15%
D.
35%
The given formula for the value of the baseball card is \(0.15y + 0.35\), where \(y\) represents the number of years since it was released.
In this equation, the coefficient of \(y\) (which is \(0.15\)) represents the increase in the value of the baseball card per year. Specifically, this means that for each year that passes, the value of the card increases by \(0.15\) dollars.
Thus, the baseball card's value is increasing by:
A. $0.15.
1 answer