Answer:
The number is 42.
Step-by-step explanation:
Let x be the unknown number.
"two less than a number" is x - 2
Quotient means the result of a division.
(x - 2)/5 = 8
Multiply both sides by 5.
x - 2 = 40
Add 2 to both sides.
x = 42
Answer: The number is 42.
Check.
Start with 42. 2 less than 42 is 40. The quotient of 40 and 5 is 40/5 which is 8. The answer is correct.
Answer:
This expression has 2 coefficients, (-3 and -4), because any number with a variable is a coefficient. That means 25, -2, and 5 are all constants, because they don't have variables.
Variables are the x's in this case.
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Hello!
To find the equation of a line parallel to y = 3x - 3 and passing through the point (4, 15), we need to know that if two lines are parallel, then their slopes are equivalent.
This means that we create a new equation in slope-intercept form, which includes the original slope, which is equal to 3.
In slope-intercept form, we need a y-intercept. So, we would substitute the given ordered pair into the new equation with the same slope and solve.
Remember that slope-intercept form is: y = mx + b, where m is the slope and b is the y-intercept.
y = 3x + b (substitute the ordered pair (4, 15))
15 = 3(4) + b (simplify)
15 = 12 + b (subtract 12 from both sides)
3 = b
Therefore, the equation for the line parallel to the line y = 3x - 3, and passing through the point (4, 15) is y = 3x + 3.
It should be the top left because the shaded area is below (or less than) the line -3/4x +1 and greater than the other line
Answer:
Option A
Step-by-step explanation:
Degree of the polynomial function = 4
That means highest degree term of the given polynomial has power = 4
If the roots of a quadratic polynomial are a, b, c, d then the polynomial function will be,
f(x) = (x - a)(x - b)(x - c)(x - d)
It's given in the question that roots are x = -2, -1, 1 and 3
Therefore, polynomial function will be,
f(x) = (x + 2)(x + 1)(x - 1)(x - 3)
From the given options, graph A shows that the graph intersects the x-axis at x = -2, -1, 1 and 3
Therefore, Option A will be the answer.