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Natali5045456 [20]
3 years ago
5

F(x)=x^2-3x-21 is divided by x+4

Mathematics
2 answers:
AlladinOne [14]3 years ago
6 0
By factor theorem, f(-4)=7,therefore x+4 is not a factor of f..and remainder when decided by x+4 is 7
emmainna [20.7K]3 years ago
3 0
By factor theorem, f(-4)=7,therefore x+4 is not a factor of f..and remainder when decided by x+4 is 7
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Robert needs to cut four shelves from a board that is 2.5 meters long. The second shelf is 18 cm longer than twice the length of
g100num [7]
STEP 1:
convert meters to centimeters
100 cm= 1 meter

= 100 cm/m * 2.5 m
= 250 cm


STEP 2:
x= length of first shelf
2x+18= length of second shelf
x-12= length of third shelf
x+4= length of fourth shelf

since the whole board has to be used, add lengths of all shelves and set it equal to the whole length of the board (250 cm).

x + (2x+18) + (x-12) + (x+4)= 250 cm
combine like terms
5x + 10= 250
subtract both sides by 10
5x= 240
divide both sides by 5
x= 48


STEP 3:
find length of second shelf
= 2x + 18
= 2(48) + 18
= 114 cm


CHECK:
x + (2x+18) + (x-12) + (x+4)= 250
48 + (2(48)+18) + (48-12) + (48+4)= 250
48 + (96+18) + 36 + 52= 250
48 + 114 + 36 + 52= 250
250= 250


ANSWER: Shelf two is 114 cm.

Hope this helps! :)
8 0
3 years ago
Solve for x. Your answer must be simplified. -3 < x/-4
Harman [31]

Answer:

x<12

Step-by-step explanation:

Let's solve your inequality step-by-step.

−3< x/ −4

Step 1: Simplify both sides of the inequality.

−3< −1/ 4 x

Step 2: Flip the equation.

−1/ 4 x>−3

Step 3: Multiply both sides by 4/(-1).

( 4/ −1 )*( −1/ 4 x)>( 4 /−1 )*(−3)

x<12

Answer:

x<12

4 0
2 years ago
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see what that gives you
8 0
2 years ago
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Mashutka [201]
Only the dividend is stated. there's no divisor
5 0
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Read 2 more answers
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Mkey [24]
1 2 3 4 & 5 would be the answers!
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