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Mkey [24]
3 years ago
14

x2 + 7x - 18 Select one of the factors of the quadratic expression. A) (x+2) B) (x+6) C) (x-2) D) (x-6)

Mathematics
2 answers:
lubasha [3.4K]3 years ago
5 0
The factors of this expression would be (x+9)(x-2). You have to find two numbers that are factors of -18 that add up to 7. These numbers would be 9 and -2:
(9)x(-2)= -18
and 9 + (-2)= 7
Your answer is C) (x-2).
sineoko [7]3 years ago
5 0

Answer:

The right answer is C) (x - 2).

Step-by-step explanation:

Given x² + 7x -18 , to find the correct factor you have to apply Baskhara´s equation

x = [-b ± √(b²- 4·a·c)]/2·a where a,b and c are the coeficietns of the quadratic equation, with a= 1, b= 7 and c= -18.

When you replace each term on the formula, you have

x= [-7 ± √(7² - 4·1·(-18)]/ 2·1 ⇒ x = [-7 ÷ √121]/2 ⇒ then you will find two solutions x1 and x2.

x1 = (-7 + 11)/2 ⇒ x1= 2

x2 = (-7 - 11)/2 ⇒x2=-9

Here you have the factors of the given equation.

So, x² + 7x -18 = (x-2) · (x +9).

Summarizing, the correct option is C) (x - 2)

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3 0
4 years ago
Ok So I an taking algebra 1 and this question is really confusing me.
V125BC [204]
You use the arithmetic sequence formula and input the information given to you.
tn = a + (n-1)d
t(56) is what your looking for so don't worry about the tn.
a is your first term,
a = 15.
n is the position of the term you are looking for, n = 56.
And d is the common difference, you find this by taking t2 and subtracting t1. t2=18 and t1=15.
d = 18 - 15 = 3
Inputting it all into the formula you get,
t(56) = 15 + (56-1)(3)
term 56 = 180.
You use this formula to find any term in a sequence provided you are given enough info. You can also manipulate it if you are asked to find something else like the first term(a), common difference(d) or term position(n). It just depends on what the question is asking and what information you are given. :)
Hope this helps!

7 0
3 years ago
If the diameter of the semicircle is 1.7 centimeters, what is the circumference of the semicircle?
spin [16.1K]
The formula for circumference is C=2 \pi r or C= \pi d.  We have a diameter for the semicircle, so let's use the diameter formula.  C= \pi (1.7) which is either C=1.7 \pi or C = 5.338 if we multiply pi in as 3.14.  BUT this is only half a circle, so we only have half that distance around the outside.  Therefore, the circumference of half this circle is 2.669 cm.  But we need to add the 24 mm in.  24 mm in centimeters is 2.4 cm.  So 2.669 + 2.4 = 5.069
6 0
3 years ago
Ed wants to borrow $20,000 from a bank to open a small gym. Three banks charge different interest rates. To help decide the best
Delicious77 [7]

Answer:

First bank = $6792

City bank = $6803

Star bank = $6817  

Step-by-step explanation:

The lists of banks and their annual interests rates are attached.

For first bank, since the interest is 7.5%, The total interest = 7.5% of $20000 = 0.075 × $20000 = $1500

For city bank, since the interest is 8.2%, The total interest = 8.2% of $20000 = 0.082 × $20000 = $1640

For Star bank, since the interest is 9%, The total interest = 9% of $20000 = 0.09 × $20000 = $1800  

The loan plus interest for the banks annually are:

First bank = $20000 + $1500 = $21500

City bank = $20000 + $1640 = $21640

Star bank = $20000 + $1900 = $21900

The monthly payments for the banks are:

First bank = $21500 / 12 months = $1792

City bank = $21640 / 12 months = $1803

Star bank = $21800 / 12 months = $1817

Since The cost to run the gym each month is $5,000. Ed's total monthly expenses for each loan option = monthly payments + cost for each month. It is calculated as:

First bank = $5000 + $1792 = $6792

City bank = $5000 + $1803 = $6803

Star bank = $5000 + $1817 = $6817  

3 0
3 years ago
This is the fourth time I put this question and no one helped me can someone please help me​
salantis [7]

Answer:

Sarah's Store

Step-by-step explanation:

5 0
3 years ago
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