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ANTONII [103]
3 years ago
10

Factorise fully the following expression (x2-3x-10)​

Mathematics
2 answers:
Radda [10]3 years ago
5 0
The correct answer should be (x-5)(x+2)
gizmo_the_mogwai [7]3 years ago
3 0

Answer:

(x - 5)(x + 2)

Step-by-step explanation:

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A certain company's main source of income is selling cloth bracelets. The company's annual profit (in thousands of dollars) as a
tester [92]

Answer:

8 thousand dollars

Step-by-step explanation:

The company's annual profit (in thousands of dollars) as a function of the price of a bracelet (in dollars) is modeled by: P(x)=-2x^2+16x-24

To find maximum profit , we need to find out the vertex

x coordinate of vertex formula is -b/2a

P(x)=-2x^2+16x-24

a=-2  and b = 16

x= \frac{-b}{2a}= \frac{-16}{2(-2)} = 4

Now we plug in 4 for x  and find out P(4)

P(x)=-2(4)^2+16(4)-24= 8

So the maximum profit the company can earn is 8 thousand dollars when price = $4


6 0
3 years ago
Read 2 more answers
You pick a card at random 2,3,4,5 what is P(2)
Luden [163]

Total possible outcomes = 4

Total no. of favorable outcomes = 2

\sf \: P(2) = total  \: no. of  \: favorable  \: outcomes/ total  \: no. \:  of  \: possible  \: outcomes  \\  =  \frac{2}{4}  \\  =  \frac{1}{2}

8 0
3 years ago
Read 2 more answers
What is the sum of the roots of the polynomial shown below?<br> f(x) = x^3 + 2x^2 - 11x-12
svp [43]

<u>Answer:  </u>

Sum of the roots of the polynomial x^{3}+2 x^{2}-11 x-12 \text { is }-2

<u>Solution:</u>

The general form of cubic polynomial is a x^{3}+b x^{2}+c x+d=0 ---- (1)

If we have any cubic polynomial a x^{3}+b x^{2}+c x+d=0 having roots \alpha , \beta , \theta

Sum of roots \alpha + \beta + \theta = \frac{-b}{a} ---(2)

From question given that,

x^{3}+2 x^{2}-11 x-12 --- (3)

On comparing equation (1) and (3), we get a = 1, b = 2, c = -11 and d = -12

Hence the sum of roots using eqn 2 is given as,

= \frac{-2}{1}

= -2

Hence the sum of the roots of the polynomial x^{3}+2 x^{2}-11 x-12 \text { is }-2

4 0
3 years ago
Maria's dinner bill is $21.89 after tax. If she wants to leave a15% tip, what will the total cost of the dinner be?a. $24.22b. $
Ne4ueva [31]
Maria's dinner bill is $21.89 after tax. If she wants to leave a15% tip, what will the total cost of the dinner be?a. $24.22b. $3.28c. $18.61d. $25.17

Pls answer quick!
5 0
3 years ago
Read 2 more answers
Subtract 7 pounds 3 ounces from 10 pounds
butalik [34]
(10 pounds) - (7 pounds 3 ounces) =
2.8125 pounds
7 0
3 years ago
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