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3 years ago

Simplify an expression for the area of the rectangle.

Mathematics

1 answer:

Goshia [24]3 years ago

3 0

Answer:

39.6x +26.4

Step-by-step explanation:

The area of a rectangle is given by

A = l*w

A = 13.2 * (3x+2)

Distribute

39.6x +26.4

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What is the end behavior of the function f(x) = 3x4−x3 + 2x2 + 4x + 5? (1 point)

ELEN [110]

Answer: both the left and right sides go to +∞

Step-by-step explanation:

End behavior can be determined by two things:

Sign of the leading coefficient
Degree of the function

Sign of leading coefficient:

positive: right side goes to +∞

negative: right side goes to -∞

⇒ Leading coefficient of this function is 3 so the right side goes to +∞

Degree (exponent of leading coefficient):

even: both the left and right sides point in the SAME direction

odd: the left and right sides point in OPPOSITE directions

⇒ Degree of this function is 4 so the left side will point in the same direction as the right side.

8 0

3 years ago

I DONT KNOW THESE! HELP!

kkurt [141]

Answer:

20. x = 5, y = -2

21. x = 11, y = 12

22. x = 22, y = 11

23. x = 11, y = 10

Step-by-step explanation:

20. Opposite sides in the parallelogram are congruent, so

$2y+18=3x-1\\ \\6x-3=17-5y$

Solve this system of two equations:

$\left\{\begin{array}{l}2y-3x=-19\\ \\6x+5y=20\end{array}\right.$

Multiply the first equation by 2 and add two equations:

$2(2y-3x)+6x+5y=2\cdot (-19)+20\\ \\4y-6x+6x+5y=-38+20\\ \\9y=-18\\ \\y=-2$

Substitute it into the first equation:

$2\cdot (-2)-3x=-19\\ \\-3x=-19+4\\ \\-3x=-15\\ \\x=5$

21. Opposite angles in the parallelogram are congruent, so

$11x+5=10y+6$

Consecutive angles are supplementary, so

$6x-y+11x+5=180^{\circ}$

Solve this system of two equations:

$\left\{\begin{array}{l}11x-10y=1\\ \\17x-y=175\end{array}\right.$

From the second equation

$y=17x-175$

Substitute it into the first equation:

$11x-10(17x-175)=1\\ \\11x-170x+1750=1\\ \\-159x=-1749\\ \\x=11\\ \\y=17\cdot 11-175=187-175=12$

22. Opposite angles in the parallelogram are congruent, so

$2x-5=3y-12$

Consecutive angles are supplementary, so

$2x-5+7y+x=180^{\circ}$

Solve this system of two equations:

$\left\{\begin{array}{l}2x-3y=-7\\ \\3x+7y=185\end{array}\right.$

From the first equation

$x=-3.5+1.5y$

Substitute it into the second equation:

$3(-3.5+1.5y)+7y=185\\ \\-10.5+4.5y+7y=185\\ \\-105+45y+70y=1,850\\ \\115y=1,850+105\\ \\115y=1,955\\ \\y=17\\ \\x=-3.5+1.5\cdot 17=22$

23. Opposite sides in the parallelogram are congruent, so

$2x+9=4y-9\\ \\3x-5=2y+8$

Solve this system of two equations:

$\left\{\begin{array}{l}2x-4y=-18\\ \\3x-2y=13\end{array}\right.$

Multiply the second equation by 2 and subtract it from the first equation:

$2x-4y-2(3x-2y)=-18-2\cdot 13\\ \\2x-4y-6x+4y=-18-26\\ \\-4x=-44\\ \\x=11$

Substitute it into the first equation:

$2\cdot 11-4y=-18\\ \\-4y=-18-22\\ \\-4y=-40\\ \\y=10$

3 0

3 years ago

Real answers and explanations ONLY! I’ll name you brainiest if correct

Juli2301 [7.4K]

Answer:

1/10⁶ or 0.000001

Step-by-step explanation:

For every time you have a probability of getting 1 is:

P(1) = 1/10

For all 6, the probability of outcome of 1 is:

P(1x6) = (1/10)⁶ = 0.000001

8 0

2 years ago

You are working for a company that creates tubes that measure 10 cm long and have a diameter of 6 cm. The tubes need to be cut j

Nataly_w [17]

Answer:

$A= 2\pi (3cm)^2 +1 2\pi (3cm)(10 cm)= 18 \pi + 60\pi = 78 \pi cm^2$

And replacing the value of $\pi =3.14$ we got:

$A = 78*3.14 cm^2= 244.92 cm^2$

Step-by-step explanation:

For this case we have the long who represent the height 10 cm and the diameter is 6cm. So then the radius is given by:

$r = \frac{D}{2}= \frac{6cm}{2}= 3cm$

And the surface area for a cylinder is given by this formula:

$A= 2\pi r^2 +2 \pi rh$

And replacing the info given we got:

$A= 2\pi (3cm)^2 +1 2\pi (3cm)(10 cm)= 18 \pi + 60\pi = 78 \pi cm^2$

And replacing the value of $\pi =3.14$ we got:

$A = 78*3.14 cm^2= 244.92 cm^2$

4 0

3 years ago

Which value of x makes this equation true? –8 + x = 0 A. –8 B. 8 C. No value of x will make it true. D. 0

marusya05 [52]

Remember that you can do anything ot an equaiton as long as you do it to both sides

-8+x=0
add 8 to both sides
8-8+x=0+8
0+x=8
x=8

answer is B. 8

8 0

3 years ago

Read 2 more answers