Answer:
1 3/8.
Step-by-step explanation:
3 1/4 - 1 7/8
First convert to improper fractions:
3 1/4 = (3*4) + 1 / 4 = 13/4.
1 7/8 = (1 *8)+7 / 8 = 15/8. So we have:
13/4 - 15/8
The Lowest Common Multiple of 4 and 8 is 8 so we convert 13/4 to eighth's
13 / 4 = 13*2 / 4 *2 = 26/8
Finally: we have
26/8 - 15/8 = (26 - 15) /8
= 11 /8
= 1 3/8 (answer)
Answer:
Step-by-step explanation:
If x - 1 is a factor of the cubic, then 1 should result in 0 when you put it in the cubic for x. Does it?
f(1) = 2(1)^3 - 15(1)^2 + 22(1) + 15
f(1) = 2 - 15 + 22 + 15
f(1)= 24.
No the result is not zero. So x - 1 is not a factor.
However there must be something that makes this cubic go to zero. The easiest way to find it is to graph it.
The numbers that do make this zero are -0.5, 3, 5
Which mean that the factors are (2x+1)(x-3)(x - 5)
We are given that Kristine spends $20 and saves the rest each time she get paid.
We can use slope-intercept form y=mx+b to represent the equation.
Where x represents the amount Kristine earns and y represents the amount she saves.
Kristine spends $20. Therefore b= -20.
Plugging mx as just x and b=-20.
<h3>y = x-20.</h3><h3>If we plug y=0, we get </h3><h3>0 = x-20</h3><h3>x=20.</h3><h3>We can see in 4th option we have x-intercept =20.</h3><h3>Therefore, correct option is 4th option. </h3><h3 />
Answer:
Step-by-step explanation:
We have a positive value for the cosine of x, so we know that the value of x should be in the first quadrant (0 ≤ x ≤ 90) or in the fourth quadrant (270 ≤ x ≤ 360).
Now, let's find the value of x that gives cos(x) = 0.7252 using the inverse function of the cosine, that is, the arc cosine function.
The value of x can be calculated using:
Using this function in a calculator (you may find it as: ), we have that:
So this is the value of x in the first quadrant. To find the other value of x, in the fourth quadrant, that gives the same result, we just need to calculate 360° minus the value we found:
So the values of x are:
Answer:
y = 22x+10
Step-by-step explanation: