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solmaris [256]
3 years ago
8

Factor 9s^2 - 36s + 35

Mathematics
1 answer:
Verdich [7]3 years ago
4 0

Split the second term in 9s^2 - 36s + 35 into two terms

9s^2 - 15s - 21s + 35

Factor out common terms in the first two terms, then in the last two terms

3s(3s - 5) - 7(3s - 5)

Factor out the common term 3s - 5

<u>(3s - 5)(3s - 7) </u>

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Please help!! (Number 73)
Rasek [7]
So hmm notice the picture below

one is 7x5x1.75 the volume of a rectangular prism is V = length * width * height

so 7*5*1.75 gives us 61.25 ft³

the second one, is larger by some width and length we dunno, but we know that it required that 61.25 plus an extra 17.5 to fill it up, so its volume is 61.25 + 17.5 or 78.75

the height is the same... so \bf V=l\cdot w\cdot h\qquad &#10;\begin{cases}&#10;l=length\\&#10;w=width\\&#10;h=height\\ --------\\&#10;h=1.75\\&#10;V=78.75&#10;\end{cases}\implies 78.75=lw\cdot 1.75&#10;\\\\\\&#10;\cfrac{78.75}{1.75}=lw\implies 45=lw

so.. if you factor 45, to two factors, one will be the length, the other the width

3 0
2 years ago
Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = 6x3 ? 9x2 ? 108x + 2, [?3, 4]
SVEN [57.7K]
Assuming the question marks are minus signs
to find max, take derivitive and test 0's and endpoints

take derivitive
f'(x)=18x²-18x-108
it equal 0 at x=-2 and 3
if we make a sign chart to find the change of signs
the sign changes from (+) to (-) at x=-2 and from (-) to (+) at x=3
so a reletive max at x=-2 and a reletive min at x=3

test entpoints

f(-3)=83
f(-2)=134
f(3)=-241
f(4)=-190

the min is at x=3 and max is at x=-2
4 0
3 years ago
Barb had $112 in her savings account. Then deposited the same amount of money into her savings account in the next 4 months. Now
Kay [80]
• Subtract first: 333 - 112 = 221

• Divide second: 221 ÷ 4(months) = 55.25

• Equation: (333 - 112) ÷ 4

Barb deposited $55.25 each month. 

Hope this helps! :D

~PutarPotato
7 0
3 years ago
Read 2 more answers
Use f(x) = 2x g(x) = 3x - 1<br> h(x)<br> 2<br> + 2x<br> - 3 then find each value.
AlladinOne [14]

Answer: 4, -1, [see if you can figure it out]

Step-by-step explanation:

7 0
2 years ago
Mark bought 12 boxes of paper clips and 10 packages of index cards for a
Nata [24]

Answer:

paper clips = $1.85

index cards = $3.95

Step-by-step explanation:

Mark

12 paper clips = x

10 index cards = y

$61.70 total

Janice

15 paper clips = x

7 index cards = y

$55.40 total

12x + 10y = 61.70

15x + 7y   = 55.40

*** you want to cancel out one of the letters

(12x + 10y = 61.70) * -7

(15x + 7y   = 55.40) * 10

-84x -70y = -431.9

150x + 70y = 554.0

150x + 70y = 554.0

-84x -70y = -431.9

66x + 0 = 122.1

66x = 122.1

x = 122.1 ÷ 66

x = 1.85

plug it back in

15(1.85) + 7y   = 55.40

27.75 + 7y   = 55.40

7y   = 55.40 - 27.75

7y = 27.65

y = 27.65 ÷ 7

y = 3.95

8 0
2 years ago
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