Answer:
The intermediate step are;
1) Separate the constants from the terms in x² and x
2) Divide the equation by the coefficient of x²
3) Add the constants that makes the expression in x² and x a perfect square and factorize the expression
Step-by-step explanation:
The function given in the question is 6·x² + 48·x + 207 = 15
The intermediate steps in the to express the given function in the form (x + a)² = b are found as follows;
6·x² + 48·x + 207 = 15
We get
1) Subtract 207 from both sides gives 6·x² + 48·x = 15 - 207 = -192
6·x² + 48·x = -192
2) Dividing by 6 x² + 8·x = -32
3) Add the constant that completes the square to both sides
x² + 8·x + 16 = -32 +16 = -16
x² + 8·x + 16 = -16
4) Factorize (x + 4)² = -16
5) Compare (x + 4)² = -16 which is in the form (x + a)² = b
Answer:
The nearest tenth of 4.12311 is 4.1
THE SLOPE IS -2
if we have the coordinates of two points on a line, we can find the slope with this formula:
so the slope is
the answer is -2
good luck
Answer:
1. 302.1 ÷ 5 can be rewritten as 181.26 ÷ 3
2. 12.15 ÷ 0.02 can be rewritten as 2430 ÷ 4
3. 1.375 ÷ 0.11 can be rewritten as 75 ÷ 6
Step-by-step explanation:
Hope this helps!
Given:
Reserve requirement = 10%
Deposit = $5400
Find:
money the supply could expand = ?
Solution:
Money Supply =
Monetary Base × Money Multiplier
Before we determine the money supply, the money multiplier must
already be determined. Therefore:
$5400 (0.10) = $540
In this case, adding the two will give us the money supply
$5400 + $540 = $5940
Nevertheless, not all money is lent out or spent. Kept money
reduces the money supply.
The restrain to the growth of the money supply when deposits
expand are identified by 2 factors:
1.
The amount above (excess reserves) what they are
required to hold are being kept.
2.
Their income rises as the public has the
penchant to hold more cash as their income.
