Please help me with this
2 answers:
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Answer:
(x - 5)(x + 8)
Step-by-step explanation:
Your equation is: x² + 3x - 40
1. Factor the quadratic
(a) Find two numbers that multiply to give -40 and add to give 3.
List the positive factors of 40: 1, 2, 4, 5, 8, 10, 20, 40
One of the numbers must be negative. Start with the numbers near the middle of the list.
By trial and error, you will find that +8 and -5 work:
-5 × 8 = -40 and -5+8 = 3
(b) Rewrite 3x as -5x + 8x
x² - 5x + 8x - 40
(c) Factor the first two and the last two terms
x(x - 5) + 8(x - 5)
(d) Separate the common factor
x² + 3x - 40 = (x - 5)(x + 8)
2. Using Desmos
You can plot the equation with Desmos.
You get a parabola with x-intercepts at x = -8 and x = 5.
These are the solutions to
x + 8 =0 and x - 5 = 0, so
x² + 3x - 40 = (x+ 8)(x - 5)
The linear equation is y = -x - 6
Step-by-step explanation:
To form a linear equation from two points lie on the line which the equation represented it
- Find the slope of the line by using the formula
- Then use the slope-intercept form of the equation y = m x + b
- To find the value of b substitute x and y of the equation by the coordinates of one of the two given points
∵ Points (-2 , -4) and (-3 , -3) lie on the line
∴ = -2 and
= -3
∴ = -4 and
= -3
- Substitute these values in the formula of the slope
∵
∴ m = -1
∵ The form of the equation is y = m x + b
∵ m = -1
∴ y = (-1) x + b
∴ y = -x + b
To find b substitute x and y in the equation by the coordinates of
point (-2 , -4) OR (-3 , -3)
∵ x = -3 and y = -3
∴ -3 = -(-3) + b
∴ -3 = 3 + b
- Subtract 3 from both sides
∴ -6 = b
∴ The equation is y = -x + (-6)
∴ y = -x - 6
The linear equation is y = -x - 6
Learn more:
You can learn more about linear equation in brainly.com/question/4326955
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Answer:here ya go boys
Step-by-step explanation:
