answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
den301095
3 days ago
12

Use the drop-down menus to complete the statements about factoring 14x2 + 6x – 7x – 3 by grouping.

Mathematics
2 answers:
babunello [11.3K]3 days ago
5 0

Response:

The GCF of the group (14x2 – 7x) is 7x

The GCF of the group (6x – 3) is 3

The common binomial factor is 2x-1

The factored expression is (7x+3)(2x-1)

PIT_PIT [11.9K]3 days ago
4 0

Response:1. The GCF of the group ( 6 x - 3 ) is 3.

2. The mutual binomial factor is 2 x - 1.

3. The expression in factored form is: ( 2 x - 1 ) ( 7 x + 3 ).

Step-by-step details:

14 x² + 6 x - 7 x - 3 =

= ( 14 x² - 7 x ) + ( 6 x - 3 ) =

= 7 x ( 2 x - 1 ) + 3 ( 2 x - 1 ) =

= ( 2 x - 1 ) ( 7 x + 3 )

You might be interested in
In year 3 it is expected that the total value of clothing sales will reach 32 million if the total value of ASCO sells Remains t
tester [11961]

Answer:

The sales figure for the third year is [\frac{32\ \text{mn}-x\ \text{mn}}{x\ \text{mn}}\times 100\%].

Step-by-step explanation:

Since sales data for the second year is unavailable, we denote it as x million.

Year 3's total sales amount to 32 million.

Calculate the sales account for year 3 as follows:

\text{Percentage of sales for year 3}=\frac{\text{Total Sales in year 3}-\text{Total Sales in year 2}}{\text{Total Sales in year 2}}\times 100\%

                                                =\frac{32\ \text{mn}-x\ \text{mn}}{x\ \text{mn}}\times 100\%

3 0
1 month ago
The coordinates of the vertices of the triangle are (–8, 8), (–8, –4), and . Consider QR the base of the triangle. The measure o
PIT_PIT [11965]
The triangle's vertex coordinates are (–8, 8), (–8, –4), and (10, –4). QR serves as the base of this triangle, measuring b = 18 units, with a height of h = 12 units. The area of triangle PQR is 108 square units.
4 0
9 days ago
Read 2 more answers
Members of a school club are buying matching shirts. They know at least 25 members will get a shirt. Long-sleeved shirts are $10
babunello [11366]

Answer:

The highest number of long-sleeved shirts that can be ordered is 8

and

The lowest number of long-sleeved shirts that can be acquired is 0

Step-by-step breakdown:

Let y denote the quantity of short sleeves and x indicate the quantity of long sleeves.

According to the stipulated conditions:

Members of a school club are purchasing coordinating shirts. They understand that a minimum of 25 members will opt for a shirt.

therefore, we have;

x+y\geq 25               or

y\geq 25 -x....[1]

Given that long-sleeved shirts are priced at $10 each and short-sleeved shirts at $5 each.

Thus;

The total expense for long sleeves amounts to 10x and

the total cost of short sleeves is 5y

Moreover; the club has a budget that does not exceed $165

therefore;

10x+5y\leq 165 

 5y\leq 165 -10x or

y\leq 33-2x......[2]

By plotting the inequality functions:

Graphing equations [1] and [2] produces a maximum at the coordinates (8, 17)

thus, x= 8.

Taking the minimum value of x =0 results in y falling between 25 and 33.

consequently, the solution space is situated between the intersecting lines to the left.

In conclusion, a maximum of 8 long-sleeved shirts can be obtained, while the minimum number of long-sleeved shirts that can be bought is 0






6 0
24 days ago
Read 2 more answers
Andy is designing a dice tray in the shape of a rectangular prism to use during a role-playing game. The tray needs to be three
lawyer [12163]
<span>The volume of a rectangular prism is 
 V = l · w · h
V = 252 cm3
h = 3 cm
l = 5 + W
Let W = x, therefore l = 5 + x
V = (5 + x) * x * 3 = 252
3x</span><span>^2 + 15x = 252 cm3

</span><span>This equation models the volume of the tray based on its width, x, in centimeters.
</span>3x^2 + 15x = 252 cm3<span>
</span>

for a width of 7.5 cm

3x^2 + 15x = 3*(7.5)^2 + 15*7.5 = 281.25 cm3

<span>281.25 > 252 </span><span> </span>

<span>Thus, a width of 7.5 cm is not possible.</span>


4 0
1 month ago
Read 2 more answers
Alley bought 1 pound of potatoes costing $4 from a local grocery store last week. Her final bill included an additional sales ta
AnnZ [11994]
$6.00 multiplied by 8% equals $6.48

this is the answer. hope this helps
8 0
1 month ago
Read 2 more answers
Other questions:
  • The area of a square can be represented by the expression x10 Which monomial represents a side of the square?
    14·2 answers
  • 1199.28856995 to the nearest ten
    12·2 answers
  • Harper knows he is 50 yards from school. The map on his phone shows that the school is 34 inch from his current location. How fa
    12·2 answers
  • Suppose that the weights of airline passenger bags are normally distributed with a mean of 47.88 pounds and a standard deviation
    8·1 answer
  • Two investors have net worths of $12 million (investor A) and $1 million (investor B). they set their investment limits at 2% an
    7·1 answer
  • A common inhabitant of human intestines is the bacterium Escherichia coli, named after the German pediatrician Theodor Escherich
    8·2 answers
  • The cost of a parking permit consists of a one-time administration fee plus a monthly fee. A permit purchased for 12 months cost
    15·2 answers
  • The product of three integers is −5. Determine all of the possible values for the three factors.
    10·1 answer
  • Values that can makes an inequality a true statement are called the ____________.
    13·1 answer
  • The face of a clock is divided into 12 equal parts. The radius of the clock face is 10 inches. Assume the hands of the clock wil
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!