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3 years ago

Let f(x) = x2 − 3x − 7. Find f(−3)

Mathematics

1 answer:

uranmaximum [27]3 years ago

3 0

Substituting -3 for x, we have: (-3)^2-3*-3-7. This simplifies to 9+9-7, or 11.

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20 points!! Solve this system of lineal equations.separate the x- and y- values with a comma

Zielflug [23.3K]

Solve the following system:{12 x = 54 - 6 y | (equation 1)-17 x = -6 y - 62 | (equation 2)
Express the system in standard form:{12 x + 6 y = 54 | (equation 1)-(17 x) + 6 y = -62 | (equation 2)
Swap equation 1 with equation 2:{-(17 x) + 6 y = -62 | (equation 1)12 x + 6 y = 54 | (equation 2)
Add 12/17 × (equation 1) to equation 2:{-(17 x) + 6 y = -62 | (equation 1)0 x+(174 y)/17 = 174/17 | (equation 2)
Multiply equation 2 by 17/174:{-(17 x) + 6 y = -62 | (equation 1)0 x+y = 1 | (equation 2)
Subtract 6 × (equation 2) from equation 1:{-(17 x)+0 y = -68 | (equation 1)0 x+y = 1 | (equation 2)
Divide equation 1 by -17:{x+0 y = 4 | (equation 1)0 x+y = 1 | (equation 2)
Collect results:Answer: {x = 4 {y = 1

Please note the { are supposed to span over both equations but it interfaces doesn't allow it. Please see attachment for clarification.

7 0

3 years ago

7p-(3p+4)= -2(2p-1) + 10<br> Solve each equation.

Aliun [14]

Perform the indicated multiplication:

<span>7p-(3p+4)= -2(2p-1) + 10

becomes

7p - 3p - 4 = -4p + 2 + 10

Group like terms:

7p - 3p + 4p = 2 + 10 + 4

8p = 16 => p = 2 (answer)</span>

8 0

3 years ago

Talia is packing a moving box. She has a square-framed poster with an area of 4 square feet. The cube-shaped box has a volume of

yan [13]

Answer:

Length of sides of poster = 2 Ft

Length of sides of box = 2.41 Ft

Since the box has a longer side than the poster, the poster will lie flat when placed in the box.

Step-by-step explanation:

In order to determine if the poster will lie flat in the box or not, we will determine the length of the sides of the poster and the box, if the length of the side of the square poster is smaller than that of the box, it will lie flat. This is calculated as follows:

Area of poster = 4 square feet

Area of poster = (Length)²

4 = (Length)²

∴ Length = √(4)

Length of poster = 2 Ft

Volume of box = 14 cubic feet

Volume of box = (Length)³

14 = (Length)³

∴ Length = ∛(14)

Length = 2.41 Ft

∴ Length of sides of poster = 2 Ft

Length of sides of box = 2.41 Ft

Since the box has a longer side than the poster, the poster will lie flat when placed in the box.

3 0

3 years ago

What is 1,099 rounded to the nearest ten

Elena-2011 [213]

1,099= 1,100

HOPE THIS HELPS!!!

5 0

3 years ago

How many hours of sleep do most people need to function properly?

Juliette [100K]

Answer:

Step-by-step explanation:

8 0

3 years ago