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2 years ago

I have been struggling with this for a while lol

Mathematics

1 answer:

kogti [31]2 years ago

4 0

Answer:

f(x) = (3x -2)(2x +1)

Step-by-step explanation:

The procedure for factoring expression of the form ...

ax² +bx +c

is to look for factors of a·c that have a sum of b.

The product a·c is 6·(-2) = -12. You are looking for factors that have a sum of b = -1. From your familiarity with multiplication tables, you know ...

-12 = 1(-12) = 2(-6) = 3(-4)

The sums of the factor pairs in this list are -11, -4, -1. So, the last pair of factors, {3, -4} is the one we're looking for.

At this point, there are several ways to proceed. Perhaps the simplest is to rewrite the linear term as the sum of terms involving these factors:

-x = 3x -4x

f(x) = 6x² +3x -4x -2

Now, the expression can be factored 2 terms at a time:

f(x) = (6x² +3x) -(4x +2) . . . . . pay attention to signs

f(x) = 3x(2x +1) -2(2x +1) . . . . factor each pair

f(x) = (3x -2)(2x +1) . . . . . . . . factor out the common factor of (2x+1)

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Quadrilateral ABCD has vertices at A(-3, 3), B(0, 4), C(3, 3),and D(0,2). What word below best describes this quadrilateral?

BaLLatris [955]

9514 1404 393

Answer:

D) Rhombus

Step-by-step explanation:

The figure is a parallelogram with equal-length sides, so is a rhombus.

8 0

3 years ago

jimmy hS three times as many comic books as charles. Charles has 2/3 as many books as bob. Bob has 27 books. how many comic book

S_A_V [24]

27/3=9
9*3=27
Jimmy has 27 comic books.

7 0

3 years ago

Write the standard form of the equation of the line described.

Vitek1552 [10]

The first line equation: y = -2/7x - 5; m1 = -7/2
The second line passes through (2,4) and is perpendicular to the first line.

Therefore,
The gradient of first line = -1/m1 = -1/(-2/7) = 7/2

Then, the equation of the second line is;
y = 7/2x+b

Substituting for the coordinates given;
4 = 7/2(2)+b
4 = 7+b
b = 4-7 = -3

Therefore, the equation of the second line is;
y = 7/2x - 3

In standard form, the equation this equation can be written as:
y(2) = 7x - 3(2)
2y = 7x - 6
7x -2y - 6 = 0 -----> standard form.

8 0

4 years ago

If a crew of 4 workers complete the job in 10 hours, how long will it take 5 workers to complete the same job?

Ulleksa [173]

We can solve using proportions
$\frac{4}{10} = \frac{5}{x}$
or 4 works is to 10 hours as 5 workers is to x hours.
to solve we cross multiply to get
$4x = 50 \\ x = \frac{50}{4}$
so it will take 5 men 12.5 hours!

6 0

3 years ago

3. Represents the sets with a Venn diagram: U = {1,2,3,4,5,6,7,8,9, 10, 11, 12} A = {1,2,3,4,6, 12} B = {1,2,4,8}

damaskus [11]

Answer:

See explanation and picture attached

Step-by-step explanation:

A set can be described by<em> listing all of its elements</em>.

For example, A = { 2, 4, 6, 8}, which we read as

“A is the set whose elements are 2, 4, 6 and 8”.

The four elements of the set are separated by commas, and the list is enclosed between curly brackets.

A <em>set can also be described by writing a description of its elements</em> between curly brackets.

Thus the set A above can also be written as

A = { even natural numbers less than 9 }, which we read as

“A is the set of even natural numbers less than 9”.

A set can also be described graphically by using Venn diagrams, which are simply circle shaped drawings showing the elements inside.

In our case U={1,2,3,4,5,6,7,8,9,10,11,12} A={1,2,3,4,6,12} B={1,2,4,8}

See picture attached for the answer.

8 0

3 years ago

I have been struggling with this for a while lol​

I have been struggling with this for a while lol