Answer: 24
Step-by-step explanation:
Answer:
(-2,0) and (2,0)
Step-by-step explanation:
The x-intercepts are where the parabola touches the x-axis (aka when y is 0).
<h3>
Answer: y = (-3/2)x+3</h3>
In decimal form, this is y = -1.5x+3
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Explanation:
Start at (0,3). Move three units down and two units to the right to get to (2,0)
slope = rise/run
slope = -3/2
rise = -3 = go 3 units down
run = 2 = go 2 units to the right
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We could use the two points (0,3) and (2,0) in the slope formula below
m = (y2-y1)/(x2-x1)
m = (0-3)/(2-0)
m = -3/2
So this is another way to see the slope is -3/2
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The y intercept is where the graph crosses the vertical y axis. In this case, it's at 3. So b = 3
Using m = -3/2 and b = 3, we go from y = mx+b to y = (-3/2)x+3 which is equivalent to y = -1.5x+3
The first step of factoring is to try to factor out a common factor.
The terms x^2 and -9x have the factor x in common.
Factor out x from both terms.
x^2 - 9x = 0
x(x - 9) = 0
Now you have a product of fully factored terms equaling zero, so you can apply the zero product property to solve.
x = 0 or x - 9 = 0
x = 0 or x = 9
Answer: x = 0 or x = 9
We know that
x²+px−35=0-------> <span>has one root that is equal to 7
so
substitute x=7 in the equation
</span>7²+p*7−35=0
49+p*7−35=0
14+p*7=0
p=-14/7------> p=-2
the answer Part a) is
t<span>he value of the coefficient p is -2
</span>
Part b) <span>Find the other root
</span>x²+px−35=0-----> x²-2x−35=0
<span>
using a graph tool-------> to resolve the second order equation
see the attached figure
the other root is
x=-5
the answer part b) is</span>
the value of the other root is -5<span>
</span>