Answer:
Sheet metal costs <u>$20</u> per square foot.
Step-by-step explanation:
7.6x - 2.3x = 106
We are finding the value of x.
5.3x = 106
Divide both sides by 5.3.
x = 106 ÷ 5.3
x = 20
Two distinct roots means two real solutions for x (the parabola needs to cross the x-axis twice)
Vertex form of a quadratic equation: (h,k) is vertex
y = a(x-h)^2 + k
The x of the vertex needs to equal 3
y = a(x-3)^2 + k
In order to have two distinct roots the parabola must be (+a) upward facing with vertex below the x-axis or (-a) downward facing with vertex above the x-axis. Parabolas are symmetrical so for an easy factorable equation make "a" 1 or -1 depending on if you want the upward/downward facing one.
y = (x-3)^2 - 1
Vertex (3,-1) upwards facing with two distinct roots 4 and 2
y = x^2 -6x + 9 - 1
y = x^2 -6x + 8
y = (x - 4)(x - 2)
Answer:
one for each angle measure) Line GJ is transversal, and since the bases ... I cannot add the measurement to my drawing by they are both 84 degrees. i hope i helped??
Step-by-step explanation:
Answer: These are some points of the grahp:
(-2,4)
(0, 3)
(2, 2)
Explanation:
1) f(x) = -0.5x + 3, is the equation of the form y = mx + b
2) y = mx + b is slope-intercept equation of a line where the slope is m and the y-intercept is b, so, f(x) = - 0.5x + b has slope m = -0.5 and y-intercept b = 3.
3) To graph f(x) = -0.5x + 3, follow these steps:
- draw two perpedicular axis: vertical axis, labeled y, and horizontal axis, labeled x.
- draw marks on each axis, each mark equivalent to one unit.
- the intersection point of the vertical and horizontal axis is the origin, i.e. point (0,0).
- you can make a table with two or more points:
x f(x) = - 0.5x + 3
-2 4
0 3
2 2
4 1
6 0
4) You can see the graph in the figure attached, and select any of the points on the line either by using the table or by using the equation f(x) = -0.5x + 3.
Answer:
of the phones in office has both a speaker phone and a conference-call capability
Step-by-step explanation:
Since total number of phones in the office is not given, the answer will be "in that terms".
let it be x
So built in speaker phones is (1/4)x
Hence conference call phones would be (1/2)(1/4x) = (1/8)x
Hence "1/8th of the phones in office has both a speaker phone and a conference-call capability"