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Helen [10]
3 years ago
14

Expand and simplify (x - 1)(2x + 3)

Mathematics
2 answers:
meriva3 years ago
8 0

Answer: 3x+2

Step-by-step explanation:

xxMikexx [17]3 years ago
6 0

Answer:

=2x^{2}+x-3

Step-by-step explanation:

This can be solved by foiling.

( a+b)(a+b)

=aa+ab+ba+bb

(x - 1)(2x + 3)      

=2x^{2}+3x-2x-3  

=2x^{2}+x-3    

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The diagram shows a sector of a circle radius 10 cm. the angle is 135 degrees
Black_prince [1.1K]

Answer:

The perimeter is 43.6 cm

Step-by-step explanation:

In this question, we are tasked with calculating the perimeter of the sector.

Firstly, we define what a sector is. A sector is part of a circle which is is blinded by two radii and an arc. Hence we say a sector contains two radii.

Thus, to calculate the perimeter of the sector, we need the length of the arc added to 2 * length of the radius

Let’s calculate the length of the arc.

Mathematically, this is theta/360 * 2 * pi * r

where theta is the angle subtended at the middle of the circle which is 135 according to the question, and our radius is 10cm

Thus, we have

135/360 * 2 * 22/7 * 10 = 23.57 cm

Adding two radii to this, we have;

23.57 + 2(10)

= 23.57 + 20 = 43.57 = 43.6 cm to 1 decimal place

5 0
3 years ago
Which of the following expressions represents “the quotient of nine times a number and seven ?
blsea [12.9K]

Answer:

9n÷7

Step-by-step explanation:

A quotient means a ratio or one quantity being divided by another, or in algebraic terms (a/b). In this case, the first quantity is "nine times a number" represented in terms of n as (n). The other quantity is just the number 7.

Dividing the 9 times n by 9 gives us the following:

9n÷7

<u><em>Hope this helps :></em></u>

7 0
3 years ago
Wesley is making a patio from stones of two sizes, 5 inches wide and 10 inches wide. he wants to begin and end his pattern with
kolezko [41]
Wesley will need 10 10-inch stones, and 9 5-inch stones.

Since he wants to begin and end the pattern with 10-inch stones, we put a 10 at the beginning and end.

10  5  10  5  10  5  10  5  10  5  10  5  10  5  10  5  10  5  10

10 x 10-inch = 100 inches
9 x 5-inch = 45 inches

100 + 45 = 145 inches
4 0
3 years ago
You have a home with a market value of $144,700, which has an assessment value of 72% of that amount. your city has a property t
CaHeK987 [17]

Your taxes went to funding schools will be $2641.The tax is divided into different parts based on the percentage.

<h3>What is tax?</h3>

A government-mandated contribution to state revenue is placed on employees' wages and corporate earnings or added to the cost of certain products, services, and transactions.

The given data in the problem is;

The market value of the home = is $144,700

They assessed a value of 72% of that amount.

The city has a property tax rate of 0.039.

The assessment value is found as;

\$ \ 144,700 \times  0.72 = \$ \ 104,184

The tax on the property will be;

\$ \  104,184 \times 0.039 = \$ \ 4,063.176

The amount which goes to funding schools is;

\$ \ 4,063.176 \times  0.65= \$ \ 2641.0644

Hence your taxes went to funding schools will be $2641.

To learn more about the tax refer to the link;

brainly.com/question/16423331

6 0
2 years ago
Read 2 more answers
If Sasha can run 720 yards in 4 minutes, how many feet can she run in 15 seconds?
Vika [28.1K]
Okay so you're trying to find the unit rate of 720yds/4min. If you divide 720 by 4 you will have the unit rate as 180yds/1 min or 60 sec then if you divide 180 and 60 by 4 again you will get the answer of 45yds/15sec.
6 0
3 years ago
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