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andrew-mc [135]
3 years ago
12

(2x + 1)(x + 2) Multiply the following polynomial

Mathematics
1 answer:
leva [86]3 years ago
3 0

Answer:

\boxed{ \bold{ \huge{ \boxed{ \sf{2 {x}^{2}  + 5x + 2}}}}}

Step-by-step explanation:

\sf{(2x + 1)(x  + 2)}

Use distributive property

\longrightarrow{ \sf{2x(x + 2) + 1(x + 2)}}

\longrightarrow{ \sf{2 {x}^{2}  + 4x + x + 2}}

Collect like terms

\longrightarrow{ \sf{2 {x}^{2}  + 5x + 2}}

Hope I helped!

Best regards! :D

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Whats the answer and why?
san4es73 [151]

A) -13

Bcz

x^2-13x+12=0

x^2-x-12x+12=0

x(x-1)-12(x-1)=0

(x-1)(x-12)=0

6 0
3 years ago
The circumference of a circle is 65?. In terms of pi, what is the area of the circle?
iVinArrow [24]

Answer:

1056.25π square units

Step-by-step explanation:

A few formulas an definitions which will help us:

(1) \pi=\frac{c}{d}, where c is the circumference of a circle and d is its diameter

(2) A=\pi r^2, where A is the area of a circle with radius r. To put it in terms of d, remember that a circle's diameter is simply twice its radius, or mathematically, (3) d=2r \rightarrow r=\frac{d}{2}.

We can rearrange equation (1) to put d in terms of π and c, giving us (4) d = \frac{c}{\pi}, and we can make a few substitutions in (2) using (3) and (4) to get use the area in terms of the circumference and π:

A=\pi r^2\\=\pi\left(\frac{d}{2}\right)^2\\=\pi\left(\frac{d^2}{4}\right)\\=\pi\left(\frac{(c/\pi)^2}{4}\right)\\=\pi\left(\frac{c^2/\pi^2}{4}\right)\\=\pi\left(\frac{c^2}{4\pi^2}\right)\\\\=\frac{\pi c^2}{4\pi^2}\\ =\frac{c^2}{4\pi}

We can now substitute c for our circumference, 65, to get our answer in terms of π:

A=\dfrac{65^2}{4\pi}=\dfrac{4225}{4\pi}=1056.25\pi

8 0
3 years ago
Read 2 more answers
100 POINTS
Svet_ta [14]

Answer:

The Great Depression

EASY

3 0
3 years ago
Use the data in the table to answer the question. Citations are "speeding tickets." You may fill in the table to help you answer
Vikentia [17]

Answer:

Linear approximation is given by: y = \frac{x}{5}+2

Step-by-step explanation:

We are given the following information in the question:

Number of citations:      5      7.5      10      15       20

 Outputs Residuals:       3       6       10       5          6

We have to find the linear approximation of the data that passes through the points (5, 3) and (20, 6).

Linear approximation is given by:

The equation of line is given by:

(y-y_1) = \displaystyle\frac{y_2-y_2}{x_2-x_1}(x-x_1)

where, (x_1,y_1), (x_2.y_2) is the point through which the line passes.

The equation of line is:

(y-3) = \displaystyle\frac{6-3}{20-5}(x-5)\\\\15(y-3)= 3(x-5)\\15y = 3x-15+45\\15y = 3x + 30\\y = \frac{x}{5}+2

The above equation is the required linear approximation.

8 0
3 years ago
The set of all even numbers that range between -3 and 12​
klio [65]

Answer:

Even Numbers -2, 2, 4, 6, 8, 10, 12

Step-by-step explanation:

Odd numbers - 3,-1,1,3,5,7,9,11

8 0
3 years ago
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