Answer: 2 and -8
Step-by-step explanation:
The factored form of the given expressions are
y = (x -2)(x +7)
y = (x +6)(x -9)
y = (x +2)(x +6)
y = (x -5)(x -6)
y = (x +5)(x -5)
y = (x -1)(x +9)
y = (x +4)(x -4)
<h3>Factoring quadratic expressions</h3>
From the question we are to factor the given quadratic expressions
y = x² +7x -2x - 14
y = x(x +7) -2(x +7)
y = (x -2)(x +7)
y = x² -9x +6x - 54
y = x(x -9) +6(x -9)
y = (x +6)(x -9)
y = x² +6x +2x +12
y = x(x +6) +2(x +6)
y = (x +2)(x +6)
y = x² -6x -5x +30
y = x(x -6) -5(x -6)
y = (x -5)(x -6)
y = (x +5)(x -5)
y = x² +9x -x -9
y = x(x +9) -1(x +9)
y = (x -1)(x +9)
y = (x +4)(x -4)
Hence, the factored form of the given expressions are
y = (x -2)(x +7)
y = (x +6)(x -9)
y = (x +2)(x +6)
y = (x -5)(x -6)
y = (x +5)(x -5)
y = (x -1)(x +9)
y = (x +4)(x -4)
Learn more on Factoring quadratic expressions here: brainly.com/question/52959
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The equation of line is: as the y-intercept is zero
Step-by-step explanation:
Given
(-2,3)
Equation of line => 3x+2y=6
Converting the equation in slope intercept form
The co-efiicient of x is the slope of the fiven line
So,
m=-3/2
The line parallel to given line will have the same slope as slopes of two parallel lines are equal
Now,
Slope-intercept form is:
Putting the value of slope
to find the value of b, put (-2,3) in the equation
Putting the value of b and m
Hence,
The equation of line is: as the y-intercept is zero
Keywords: Slope-intercept form, Slope
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600 sixth-graders were surveyed.
Step-by-step explanation:
Step 1; Assume x is the total number of sixth-graders that were surveyed. According to the given circle graph, 5% of the sixth-graders that were surveyed have birds as their pets. If x is the total number of sixth-graders surveyed then 5% of x equals 30. So
5% of x = 30.
5% equals = 0.05, so 5% = 0.05.
Step 2; If 0.05 x = 30, we can solve by keeping the unknown value on one side and keeping all the known values on one side.
x = = 600.
So 600 sixth-graders were surveyed.
Answer:
4th choice: I and IV only
Step-by-step explanation:
Change the form of the given equation to standard form.
y = -2/3 x + 2
3y = -2x + 6
2x + 3y = 6
Now compare this equation with the 4 choices.
Any equation that has the same x- and y-terms but a different constant term is parallel.
I. is parallel.
II. and III. are not parallel.
Look at IV.:
4x + 6y = 3
Divide both sides by 2:
2x + 3y = 3/2
IV. is also parallel.
Answer: 4th choice: I and IV only