Answer:
Step-by-step explanation:
The factorization of x² - 5x + 6 can be determined thinking critically about two numbers, that if we multiply those two numbers together it will result into a value of +6 and if we add those numbers together , we will have -5
The numbers are -3 and -2 ; if we multiply -3 and -2 , we have = 6
If we add -3 + (-2) ; we have,
-3-2 = -5
Now the factorization of
x² - 5x + 6 = 0 is as follows.
x² - 3x - 2x + 6
By factorization,
x(x - 3) - 2 (x - 3) = 0
(x - 2) or (x-3) = 0
Now, using An algebra tile configuration. The diagrammatic expression showing how an algebraic tile configuration should looks like can be found in the attached image below.
Hint:
Let represent ,
1 = x² tile
-5 = - x tiles
6 = 1 tiles
Answer:
The correct option is B.
Step-by-step explanation:
The given equation are
On solving both the equation, we get
Put this value in the given equation.
The solution of the given system of equation is
The best approximation of the exact solution is (1.3,2.3). Therefore the correct option is B.
Answer:
Step-by-step explanation:
Your answer would be B., because you would multiply
2.14 x 22.4 =
47.939
then you will subtract that by 42.9
47.939 - 42.9 =
5.026
<h2>
Answer with explanation:</h2>
We are given a semi-ellipse gate whose dimensions are as follows:
Height of 20 feet and a width of 15 feet.
Now, if a truck is loaded then:
Height of truck is: 12 feet and a width of truck is: 16 feet
The truck won't pass through the gate since the width of truck is more than that of the gate.
When the truck is not loaded then:
Height of truck is: 12 feet and a width of truck is: 10 feet
The truck would easily pass through the gate since, the dimensions of truck are less than that of the gate.
Given:
4log1/2^w (2log1/2^u-3log1/2^v)
Req'd:
Single logarithm = ?
Sol'n:
First remove the parenthesis,
4 log 1/2 (w) + 2 log 1/2 (u) - 3 log 1/2 (v)
Simplify each term,
Simplify the 4 log 1/2 (w) by moving the constant 4 inside the logarithm;
Simplify the 2 log 1/2 (u) by moving the constant 2 inside the logarithm;
Simplify the -3 log 1/2 (v) by moving the constant -3 inside the logarithm:
log 1/2 (w^4) + 2 log 1/2 (u) - 3 log 1/2 (v)
log 1/2 (w^4) + log 1/2 (u^2) - log 1/2 (v^3)
We have to use the product property of logarithms which is log of b (x) + log of b (y) = log of b (xy):
Thus,
Log of 1/2 (w^4 u^2) - log of 1/2 (v^3)
then use the quotient property of logarithms which is log of b (x) - log of b (y) = log of b (x/y)
Therefore,
log of 1/2 (w^4 u^2 / v^3)
and for the final step and answer, reorder or rearrange w^4 and u^2:
log of 1/2 (u^2 w^4 / v^3)
