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skad [1K]
2 years ago
11

A rectangle desktop has a length of 3(x+2) units and a width of (x-7). Write an expression for the area

Mathematics
1 answer:
yanalaym [24]2 years ago
5 0

Answer:

Expression for area = 3x² - 15x - 42

Step-by-step explanation:

Given that:

Length of rectangle desktop = 3(x+2) = 3x+6 units

Width of rectangle desktop = x - 7

Area of rectangle desktop = Length * Width

Area of desktop = (3x+6)(x-7)

Area = 3x(x-7) +6(x-7)

Area = 3x² - 21x + 6x - 42

Area = 3x² - 15x - 42

Hence,

Expression for area = 3x² - 15x - 42

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The solution to 5 - 3x> 35 is either x>-10 or -10> x. which solution is correct
velikii [3]
It should be x < -10 because when you divide by a negative number the inequality sign flips.

3 0
3 years ago
Ali hops on his 3 wheeler and heads off at 12 mph. Two hours later, Fatimah chases after him on a moped at 18 mph. How far will
mash [69]

Answer: 72 miles.

Step-by-step explanation:

We know the relationship:

Distance = speed*time.

Then we can write the equation for distance as a function of time for Ali as:

A(t) = 12mph*t

where t is time in hours.

Fatimah's equation will be:

F(t) = 18mph*(t - 2h)

where the -2h appears because she starts two hours after Ali.

Fatimah will overtake Ali when F(t) = A(t) (their positions are the same)

Then we need to solve:

12mph*t = 18mph*(t - 2h)

12mph*t = 18mph*t - 18mph*2h

12mph*t = 18mph*t - 36 mi

36 mi = (18mph - 12mph)*t

36mi = 6mph*t

36mi/6mph = t

6h = t

So Ali travels for 6 hours before he gets overtaken, then the total distance that Ali travels is:

A(6h) = 12mph*6h = 72 mi

3 0
3 years ago
HELP, WILL GIVE BRAINLIEST
Sedbober [7]

Answer:

Infinitely many solutions

Step-by-step explanation:

-4x + 2y = 2

2y = 4x + 2

y = 2x + 1

It's basically the same line.

8 0
3 years ago
What’s does 7 correspond to . please help .
Whitepunk [10]

\huge{\textbf{\textsf{{\color{navy}{An}}{\purple{sw}}{\pink{er}} {\color{pink}{:}}}}}

A. 21

  • Thanks
  • Hope it helps.
7 0
2 years ago
Use the least common denominator to enter an equivalent fraction for each fraction
adelina 88 [10]

Answer:

The least common denominator of the fraction is 14

1/2=  7/14

1/7=  2/14

5 0
3 years ago
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