Answer:
x= 103
(x-26) = 77
Step-by-step explanation:
=> x+(x-26) = 180
2x-26 = 180
2x= 180+26
x= 206/2
x= 103
=> (103-26)
77
The two terms are x and 2, thus, x+2 is a binomial. We have to multiply the binomial by itself four times since it is raised to 4th power.
Let us multiply x+2 by itself using Polynomial Multiplication:
(x+2)(x+2) = x^2 + 4x + 4
Taking the result, let us multiply it again by a+b:
(x^2 + 4x + 4)(x+2) = x^3 + 6x^2 + 12x + 8
And again:
(x^3 + 6x^2 + 12x + 8)(x+2) = x^4 + 8x^3 + 24x^2 + 32x +16
The binomial expansion of (x+2)^4 is x^4 + 8x^3 + 24x^2 + 32x +16
Answer:
110d + 80 > 1620
d > 14
Step-by-step explanation:
The amount of points from collecting diamonds can be represented by 110d, since you get 110 points for each diamond, d
Add 80 to this to represent the bonus points.
Use a greater than inequality, because you have to get more than 1620 points.
Put this all together:
110d + 80 > 1620
Then, solve for d:
110d + 80 > 1620
110d > 1540
d > 14
So, you have to collect more than 14 diamonds in less than 2 minutes in order to advance to the next level.
The figures that can have a triangle as a two-dimensional cross section are (4) I, III, and IV, only
<h3>How to determine the figures?</h3>
The cross-section of three-dimensional figures are as a result of slicing the figure along its axis.
- When the cube is sliced with its plane, it gives a triangle face
- When a cone is sliced vertically, it gives a triangle face
- One of the faces of a square pyramid is a triangle; so it has a triangle face
Hence, the figures that can have a triangle as a two-dimensional cross section are (4) I, III, and IV, only
Read more about cross section at:
brainly.com/question/3603397
#SPJ1
Answer:
a. 0.4 and 0.5
b. 0.46
Step-by-step explanation:
i don't know if this right, so lmk
