Answer:
(10⁰x 10¹ x 1¹⁰)< (10⁰ + 10¹x 1¹⁰)<(10⁰ + 10¹ + 1¹⁰)< (10 x 10¹)
Step-by-step explanation:
increasing order-
(10⁰x 10¹ x 1¹⁰)
(10⁰ + 10¹x 1¹⁰)
(10⁰ + 10¹ + 1¹⁰)
(10 x 10¹)
Answer:
Region D.
Step-by-step explanation:
Here we have two inequalities:
y ≤ 1/2x − 3
y < −2/3x + 1
First, we can see that the first inequality has a positive slope and the symbol (≤) so the values of the line itself are solutions, this line is the solid line in the graph.
And we have that:
y ≤ 1/2x − 3
y must be smaller or equal than the solid line, so here we look at the regions below the solid line, which are region D and region C.
Now let's look at the other one:
y < −2/3x + 1
y = (-2/3)*x + 1
is the dashed line in the graph.
And we have:
y < −2/3x + 1
So y is smaller than the values of the line, so we need to look at the region that is below de dashed line.
The regions below the dashed line are region A and region D.
The solution for the system:
y ≤ 1/2x − 3
y < −2/3x + 1
Is the region that is a solution for both inequalities, we can see that the only region that is a solution for both of them is region D.
Then the correct option is region D.
Answer:
7
Step-by-step explanation:
because if you add 10+7 17 17+7=24
Answer:
50
Step-by-step explanation:
To answer this we need to use the PEMDAS strategy, first solve any questions in parentheses, next solve all multiplication and division problems from left to right. Next, solve all addition and subtraction problems from left to right.
36 + (12 - 8) + 2 × 5
36 + 4 + 2 x 5
36 + 4 + 10
40 + 10
50
Answer:
256
Step-by-step explanation:
Let the number be k
Thus, the equation can be written as:
x² – 32x + k
From the above,
a = 1
b = –32
c = k
The value of k can be obtained as follow:
b² = 4ac
(–32)² = 4 × 1 × k
1024 = 4k
Divide both side by 4
k = 1024 / 4
k = 256
Thus, 256 should be added to x² – 32x to make it a perfect square i.e
x² – 32x + 256
****Check****
x² – 32x + k
k = 256
x² – 32x + 256
x² – 16x – 16x + 256
x(x – 16) – 16(x – 16)
(x – 16)(x – 16)
(x – 16)² QED
