Answer:
x-intercept (-3,0); y-intercept (0,12)
Step-by-step explanation:
To find the x-intercept --> y should equal 0
8x-2(0)=-24 substitute
8x=-24 divide
x=-3 (-3,0)
To find they-intercept --> x should equal 0
8(0)-2y=-24 substitute
-2y=-24 divide
y=12 (0,12)
There 60 pints in 15 gallon
If the polynomial is of the form x^2+bx+c (ie., no factor in front of the x^2!!) then you can look for numbers that add up to b and multiply to c.
So in this case: what two numbers, when added, give -2 and when multiplied, give 1? A little trial and error gives you -1 and -1.
So the factorization is (x-1)(x-1). This is zero for x=1. There is only one zero.
The value of the <em>shaded</em> area is approximately 34.907 square centimeters.
<h3>How to calculate the area between a rhombus and a circle</h3>
According to the description in statement we prepared a representation of the figure in the image attached below. The <em>shaded</em> area is equal to the area of the <em>circle</em> sector (
), in square centimeters:
(1)
Where:
- Length of the radius, in centimeters. 
- Angle of circle arc, in degrees.
If we know that 
and 
, then the area of the circle is:
The value of the <em>shaded</em> area is approximately 34.907 square centimeters. 
To learn more on areas, we kindly invite to check this verified question: brainly.com/question/16151549
Answer:
vertex = (-4, 5)
Step-by-step explanation:
In general, the graph of the absolute value function f(x) = a|x - h| + k will have its lowest value when f(x) = k (or highest value for f(x) = -a|x - h| + k). The lowest/highest value is the vertex (turning point).
Therefore, from inspection of the equation we can say that the y-coordinate of the vertex is 5.
Set the equation to 5 and then solve for x:
⇒ 5 = 1/2 |-X – 4| + 5
⇒ 1/2 |-X – 4| = 0
⇒ |-X – 4| = 0
Therefore, (-X - 4) = 0 and -(-X - 4) = 0
⇒ X = -4 (for both)
So the vertex is (-4, 5)
<u>Translations</u>
Absolute value parent function: f(x) = | -x |
Horizontal translation left 4 units: f(x) = |-x - 4|
Horizontal stretch of sf 1/2: f(x) = 1/2 |-x - 4|
Vertical translation up 5 units: f(x) = 1/2 |-x - 4| + 5
