Answer:
$11,714
Step-by-step explanation:
C(x) = 0.7x² - 462x + 87,944
this is a quadratic equation that opens up
the vertex will be the minimum
From the quadratic formula the x coordinate of the vertex is
x = -b/2a
x = 462/(2 * 0.7)
x = 330
Plug in
c(330) = 0.7(330²) - 462(330) + 87,944
c(330) = 11,714
$11,714
Answer: b(-2, 2) c(4,2) d (-6,7)
Step-by-step explanation:
The formula for reflecting over x axis is (x,y) - > (x,-y)
the current points are
-2,-2
4, -2
-6, -7
which turn into -2, 2
4, 2
-6,7
Answer:
Yes
Step-by-step explanation:
If you replace each x with -3 and each y with 2 you get:
1) 2<-4*(-3)
2<12
True
2) -3+8*2>7
13>7
True
Therefore the point is part of the solution set
Step 1: convert the equation into fhe vertex form
To do you can complete squares:
y = - [x^2 + 4x + 3]
y = - [ (x + 2)^2 - 4 + 3]
y = - [ (x + 2)^2 - 1] = - (x+2)^2 + 1
Then the vertex is (-2, 1)
Now you can drasw the vertex
Step 2: Find the roots (zeros)
y = - [ (x + 2)^2 - 1] = 0
(x + 2)^2 - 1 = 0
(x+2)^2 = 1
(x+2) = (+/-) √1
x + 2 = (+/-1)
x = - 2 +/- 1
x = -1 and x = -3
Now you draw the points (-1,0) , (-3,0)
Step 3: find the interception with the y-axis.
That is y value when x = 0
y = - (0)^2 - 4(0) - 3 = -3
Then draw the point (0, -3)
Step 4: given that the coefficent of x is negative (-1) the parabola is open downward.
So, with those four points: vertex (-2,1), (-1,0), (-3,0) and (0,-3), you can sketch the function.
Step-by-step explanation:
first you will put a line in the missing part of the inside of the figure.Once you do you will see that there are two figures.
to find the diagonal of the half-circle : 7cm-2cm-1cm=4cm
Now use the area formulas for each figure.The area of the semicircle is pi×d/2.The area of the rectangle is a×b.
A of semicircle =3.14×4cm/2=6.28cm²
A of rectangle =7×3=21cm²
to find the perimeter of them:
P of semicircle = 3.14×4=12.56cm
P of rectangle =2(7+3)=14+6=20cm
