Answer:
B.) 2 3/4 + (-4 1/4) = -1 2/4
Step-by-step explanation:
blue line: forward with positive +
red line: backward with negative -
so the number line follows: + -
= -1 2/4
A fair spinner A is spun 7 times. What is the probability of getting “Green” at least 5 times if there are 8 colors separated eq
1 answer:
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Answer:
Step-by-step explanation:
1) Use the given coordinate points to find the slope
m= m=
2) plug the slope into slope-intercept form
y=x+b
3) choose one point to use to plug into the equation to solve for b
4=(-2)+b
4) solve for b.
b=
5) substitute the value for b into equation from step 2
y=x+
Answer:
- the only possible value of x is 5
- the dimensions are 2 × 4 × 10
Step-by-step explanation:
The cubic equation ...
(x -3)(x -1)(x +5) = 80
has one real root: x = 5. Using that value for x, the dimensions become ...
length = 5 - 3 = 2
width = 5 - 1 = 4
height = 5 + 5 = 10
The dimensions are (length, width, height) = (2, 4, 10).
_____
We cannot tell the thrust of the problem, since it has only one solution. Perhaps you're supposed to write the cubic in standard form and use the <em>Rational Root theorem</em> to find <em>possible values of x</em>. That form can be found to be ...
(x -3)(x -1)(x +5) -80 = 0
x³ +x² -17x -65 = 0
Descartes' rule of signs tells you there is one positive real root. The rational root theorem tells you possible rational roots are factors of 65:
1, 5, 13, 65
We know that x must be greater than 3 (so all dimensions are positive). Thus <em>possible values of x are 5, 13, 65</em>, and we're pretty sure that 65 is way too large.
