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2 years ago

Simplify the expressions and find the value:

Mathematics

1 answer:

Dahasolnce [82]2 years ago

3 0

Answer:

$x(x−3)+2=x.x−3x+2 \\ =x2−3x+2 \\F or x=1 \\ putting \: x=1 \: in \: expression \\ x2−3x+2=(1)2−3(1)+2 \\ =1−3+2 \\ =3−3 \\ =0$

$Solve \: 3y(2y−7)−3(y−4)−63 for y=−2 \\ First \: simplify \: it, \\ =6y2−21y−3y+12−63 \\ =6y2−24y−51 \\ Put \: y=−2 \: =6(−2)2−24(−2)−51 \\ =6×4+48−51 \: 6×4+48−51 \\ 24+48−51 \\ =21$

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Help! Simplify (see photo) pls explain<br> If you don’t know pls don’t answer thanks

Temka [501]

Answer:

$-8 \sqrt{6}$

Step-by-step explanation:

$4i\sqrt{-24} \\4i\sqrt{-1} *\sqrt{24} \\4i*i*\sqrt{4}*\sqrt{6}\\-4 * 2*\sqrt{6} \\-8 \sqrt{6}$

$\sqrt{-1} =i \\i*i = -1$

7 0

3 years ago

If pencils sell at 6 for 59 cents how many pencils can be bought for 2.95

Olegator [25]

We already know from the given data that 6 pencils can be bought for 59 cents. We have to determine the number of pencils that can be bought for $2.95.
So
Price of 6 pencils = 59 cents.
Price of 1 pencil = (59/6) cents
   = 9.83 cents
Now total amount in hand for buying pencils = $2.95
   = 295 cents
Then the number of pencils that can be bought for 295 cents = (295/9.83)
   = 30.01
So the maximum number of pencils that can be bought for $2.95 is 30 pencils.

4 0

3 years ago

Read 2 more answers

This figure represents a specialty design for an art print, made of a square and 3 identical triangles.

Gnoma [55]

Answer:

91cm2 (or just 91)

Step-by-step explanation:

the area of the square is 49, and 1 triangle is 14 you have to add all 3 triangles plus the square(or the base).

8 0

1 year ago

Read 2 more answers

Enzo is studying the black bear population at a large national park.

Naddik [55]

Answer:

2,973

Step-by-step explanation:

The black bear population B(t), in the park is modeled by the following function:

$B(t) = 2500 \cdot 2^{0.01t}$

Where t is the time(in years) elapsed since the beginning of the study.

We want to determine the black bear population in 25 years time, t=25.

$B(25) = 2500 \cdot 2^{0.01*25}\\=2973.02\\\approx 2973$

There will be 2,973 black bears in 25 years time.

4 0

2 years ago

If f(x)=3x^3 then what is the area enclosed by the graph of the function, the horizontal axis, and vertical lines at x=2 and x=4

Ber [7]

Answer:

Area: 180 units2 (units 2 is because since the are no specific unit given but every area should have a unit of measurement)

Step-by-step explanation:

The area enclosed by the graph of the function, the horizontal axis, and vertical lines is the integral of the function between thos two points (x=2 and x=4)

So , let's solve the integral of f(x)

Area = $\int\limits^2_4 3{x}^3 \, dx = 3*x^4/4$ +C

C=0

So if we evaluate this function in the given segment:

Area= 3* (4^4)/4-3*(2^4)/4= 3*(4^4-2^4)/4=180 units 2

Goos luck!

5 0

2 years ago