(-4x2-5x-1)(4x2-6x-2)
Final result :
-2 • (13x + 1) • (2x2 - 3x - 1)
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "x2" was replaced by "x^2".
Step by step solution :
Step 1 :
Equation at the end of step 1 :
(-13x - 1) • ((22x2 - 6x) - 2)
Step 2 :
Pulling out like terms :
3.1 Pull out like factors :
-13x - 1 = -1 • (13x + 1)
Step 3 :
Pulling out like terms :
4.1 Pull out like factors :
(4x2 - 6x - 2) = 2 • (2x2 - 3x - 1)
Trying to factor by splitting the middle term
4.2 Factoring 2x2 - 3x - 1
The first term is, 2x2 its coefficient is 2 .
The middle term is, -3x its coefficient is -3 .
The last term, "the constant", is -1
Step-1 : Multiply the coefficient of the first term by the constant 2 • -1 = -2
Step-2 : Find two factors of -2 whose sum equals the coefficient of the middle term, which is -3 .
-2 + 1 = -1
-1 + 2 = 1
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Step 4 :
Pulling out like terms :
5.1 Pull out like factors :
-26x - 2 = -2 • (13x + 1)
Final result :
-2 • (13x + 1) • (2x2 - 3x - 1)
x = the number of feet of fence
y = the total cost of the fence and gate
43x + 128 = y
[fence costs $43 per feet(x) plus the cost of the gate(128) equals the total cost of the fence and gate(y)]
Answer:
259°
Step-by-step explanation:
Given information : In ⊙H, Arc(IK) ≅ Arc(JK), mArc(IK)=(11x+2)°, and mArc(JK)=(12x-7)°.
We need to find the measure of Arc (IJK).


Substitute the given values.

Isolate variable terms on one side.


The measure of Arc(IK) is

The measure of Arc(IJK) is

Therefore, the measure of Arc(IJK) is 259°.
All we need to do is divide the amount of hours she needs to read by the time she wants to read each time.
1/2 = 0.5
Divide.
2 / 0.5 = 4
Therefore, Alexa will read 4 times over the weekend.
Best of Luck!