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4 years ago

3 (x - 1) = 3x - ________ What would 3x be subtracted by

Mathematics

2 answers:

aalyn [17]4 years ago

6 0

Answer:

Step-by-step explanation:

muminat4 years ago

5 0

Answer: 3

Step-by-step explanation:

Use the distributive property:

3(x - 1)

= 3(x) + 3(-1)

= 3x - 3

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What line is parallel to y=-7 and passes through (-4/5, 3/7), needs an equation

kotegsom [21]

Answer:

y = 3/7

Step-by-step explanation:

The line parallel to y = -7 will have the form ...

y = constant

In order for the line to go through the given point, the constant must be the y-coordinate of that point.

y = 3/7

4 0

4 years ago

From the sum of polynomials 3a2−ab−2b2 and 2a2+5ab−3b2 subtract polynomial a2−3ab−4b2.

malfutka [58]

Answer:

$4a^2+7ab-b^2$

Step-by-step explanation:

First, we will sum

$3a^2-ab-2b^2$

and

$2a^2+5ab-3b^2$

Then, from that sum, we will SUBTRACT $a^2-3ab-4b^2$

First, lets take the sum by combining like terms:

$(3a^2-ab-2b^2)+(2a^2+5ab-3b^2)=5a^2+4ab-5b^2$

Now, lets do the subtraction:

$(5a^2+4ab-5b^2)-(a^2-3ab-4b^2)\\=5a^2+4ab-5b^2-a^2+3ab+4b^2\\=4a^2+7ab-b^2$

This is the answer.

3 0

3 years ago

A circle has a sector with area 33 pi and central angle of 11/6 pi radians. What is the area of the circle?

frosja888 [35]

Answer:

The area of the circle is $36\pi\ units^{2}$

Step-by-step explanation:

we know that

The area of a circle subtends a central angle of $2\pi$ radians

By proportion find the area of the circle

$\frac{33\pi }{(11\pi /6)}=\frac{x}{2\pi}\\ \\ x=2\pi*( 33*6)/11\\ \\x=36\pi\ units^{2}$

4 0

3 years ago

Read 2 more answers

The Orchard Cafe has found that about 15% of the diners who make reservations don't show up. If 77 reservations have been made,

taurus [48]

Answer:

65 dinners are expected to show up

The standard deviation of the distribution is 3.13

Step-by-step explanation:

Given

Proportion = 15%

Population = 77

Required

Expected Number that'll show up

Standard Deviation

If 15% won't show up; then

100% - 15% = 85% will show up

Expected Number, E(x) of Dinner is calculated as thus;

$E(x) = np$

Where $p = 85\%$ (calculated above)

and $n = 77$

Convert p to decimal

$p = 0.85$

So;

$E(x) = 0.85 * 77$

$E(x) = 65.45$

$E(x) = 65$

65 dinners are expected to show up

Calculating Standard Deviation, SD

Standard Deviation is calculated as;

$SD = \sqrt{np(1-p)}$

Substitute 0.85 for p and 77 for n

$SD = \sqrt{77 * 0.85 * (1-0.85)}$

$SD = \sqrt{77 * 0.85 * 0.15}$

$SD = \sqrt{9.8175}$

$SD = 3.13328900678$

$SD = 3.13$ (Approximated)

The standard deviation of the distribution is 3.13

4 0

4 years ago

-4c - 6d = 24 when c = 0

timofeeve [1]

Do you know what D equals?

3 0

4 years ago