I’m so sorry but I don’t have a clue! But you’ll get it eventually
Answer:
x = 2, and 6
x = 2 , 6
Step-by-step explanation:
The quadratic function to analyze is: 
In order to find where the corresponding parabola intercepts the x axis, we set it equal to zero (y = 0):
This equation is easy to solve by factoring. We look for a air of integer numbers whose product equals the constant term "12", and whose combinig renders the coefficient of the middle term of the trinomial "-8".
The two such numbers are "-2" and "-6". We use them to split the middle term, and then solve by factoring by grouping:
For the product of two factors to render zero, we need either one to be a zero.This means that (x-2)=0 (that is x = 2), or (x-6)=0 (that is x = 6).
So, there are two x-intercepts: x= 2, and 6
Answer:
First, you have to set 5x equal to (3x+10). They are vertical angles and therefore congruent.
5x = 3x+10 The variable should only be on one side of the equation,
5x - 3x = 10 Therefore subtract 3x from both sides
2x = 10 Divide by 2 on both sides.
x = 5
We're not done yet, since we've found the x-value we have to solve for ∠GEC.
∠GEC = 3x+10 = 3(5)+10 = 15+10 = 25°
∠GEC and ∠FEG form a right angle. This means that the sum of the two angles is 90°
90° = 25° + x In this case, we're using "x" to solve for ∠FEG
90-25 = x We subtract 25 from both sides to get the variable by itself.
65° = x
∠FEG = 65° The Answer is B
Step-by-step explanation:
The amount that will be saved yearly oh the utility bills will be $65 each year.
<h3>How to calculate the amount of utility saved</h3>
From the information given, the cost per load on hot wash is given as 71 cents per load and the cost of warm wash is given as 25 cents per load.
Therefore, the yearly cost for hot wash will be:
= 71 cents × 365
= 25915 cents
In this case, she cuts down the amount of laundry that she does in hot water to one-half will be:
= 25915 cents × (3/4 - 1/2)
= $259.15 × 0.25
= $65
In conclusion, the correct option is $65.
Learn more about utility on:
brainly.com/question/24719924
Answer:
B. 200 cubic feet
Step-by-step explanation:
There are two prisms: the triangular prism and the rectangular prism
first lets start with the triangular one:
remember that for a right triangular prism (this one), the area is 1/2 x base x height x length
another way to think about it is to find the area of the triangle and then multiply that by the thickness
The base is 4 feet and the height is the same as the rectangular prism, which is 5
and the length is 4 ft (same as rectangular prism)
so 1/2 x 4 x 5 x 4 is 40
next lets do the rectangular prism
remember the volume is length x width x height
8 x 4 x 5 = 160
now we simply add the volume of the two prisms
40 + 160 = 200
and there's you're answer :)
hope that helps!
