Answer:
A. 29
B. 11
C. 10
D. 12
Step-by-step explanation:
A. 180 - 122 = 58
58 divided by 2 = 29
-
B. 180 - 37 = 143
x = 11
5 x 11 = 55
8 x 11 = 88
55 + 88 = 143 + 37 - 180
-
C. the small box in a triangle means right angle = 90
90 - 68 = 22
(2x - 2) we subtract before finding out what x is
22 - 2 = 20
2x = 20 divide by 2 = 10
x is equal to 10
-
D. to find the total, you must figure out what each equation is to add them up to make 180.
(8x + 3) + (2x + 9) + 4x = 180
add up the numbers with x and the numbers without them
14x + 12 = 180
subtract 180 - 12 = 168
168 divided by 14 = 12
x = 12
Hope this helped !!
Answer:
first one
Step-by-step explanation:
yes, the interval does increase at -2. however, you can see it decreases again but starts rising up again at the interval 1.
Answer: quotient is 2x^2 + 10x - 5
Solution:
The first polynomial is miswritten.
The right one is: 2x^3 + 4x^2 - 35x + 15.
So, the division is [2x^3 + 4x^2 - 35x + 15] / (x - 3)
The synthetic division uses the coeffcients and obviate the letters, but you have to be sure to respect the place of the coefficient.
So, in this case it is:
3 | 2 4 -35 15
---------------------------------
2 10 - 5 0
So, the quotient is 2x^2 + 10x - 5, and the remainder is 0.
I like to show it in this other way:
| 2 4 -35 15
|
|
3 | +6 +30 -15
--------------------------------
2 10 - 5 0
Of course they are the same coefficients and the answer continue being quotien 2x^2 + 10x - 5, remainder 0.
Answer: third option.
Step-by-step explanation:
You know that:
- There are 10⁹ bytes in a gigabyte.
- There are 10⁶ bytes in a megabyte.
Then, to know how many times greater the storage capacity of a 1-gigabyte flash drive is than a 1-megabyte flash drive, you must divide 10⁹ bytes by 10⁶ bytes.
Remember the quotient of powers property:

Then:
times greater
The vertex of the quadratic equation is (-5, - 28). In vertex form, y = a(x - h)2<span> + </span><span>k, (h, k) is the vertex of the equation.</span>