Answer:
maximum at (4, 9)
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
y = - 1(x - 4)² + 9 is in this form
with vertex = (4, 9)
• If a > 1 then vertex is a minimum
• If a < 0 then vertex is a maximum
here a = - 1 , hence vertex (4, 9) is a maximum
The expression which shows the total area of the picture and frame is
+320.
Given that the width of the frame is x ,length horizontally be 20 inches and vertically be 16 inches.
We are required to find the expression which shows the total area of the picture and frame.
Expression is basically a combination of numbers, symbols, coefficients, determinants, indeterminants,etc. and are mostly not found in equal to form.
Since we are given that the width of the frame be x, So,the are of only frame will be :
Area of frame=20*x*2+16*x*2+x*x
=40x+32x+
=
+72x
Area of picture=20*16=320 
The expression which shows the total area of the picture and frame is
+320.
Hence the expression which shows the total area of the picture and frame is
+320.
Learn more about expression at brainly.com/question/723406
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Answer:
Money with Mary = $28
Money with Vivan = $12
Step-by-step explanation
Money with Mary = $ m
Money with Vivan = $v
If mary gave vivan $8 they would have same amount. $ 8 is reduced from Mary's amount 'm' and $8 is added to vivan amount 'v'
m - 8 = v + 8
m = v + 8 +8
m -v = 16 ----------------(I)
If vivan gives mary $8, then mary would have 9 times as much as vivan.
9(v - 8) = m + 8
9v - 72 = m + 8
9v - m = 8 + 72
-m + 9v = 80 --------------(II)
Add equation (I) and (II). Thus m will be cancelled and we will get the value of v
(I) m - v = 16
(II) <u>-m + 9v = 80</u> {Now add}
8v = 96
v = 96/8
v = $ 12
Plugin v = 12 in equation (I)
m - 12 = 16
m = 16 +12
m =$ 28
Answer:
Step-by-step explanation:
Use the slope-intercept form
y=mx+b
to find the slope m and y-intercept b.
Slope: −13
y-intercept: (0,−9)