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Vlada [557]
3 years ago
12

4

Mathematics
1 answer:
lora16 [44]3 years ago
7 0

Answer:

B

Step-by-step explanation:

Given

x² - 9x + 18 = 0 ← in standard form

(x - 3)(x - 6) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 3 = 0 ⇒ x = 3

x - 6 = 0 ⇒ x = 6

solution is x = 3, x = 6 → B

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Select the correct answer. Graham puts $20 in his piggy bank every week. At the end of 39 weeks, he adds $100 to the piggy bank
Masteriza [31]

20*39 = 780

780+100 = 880

880-314.23-123 = 442.77

442.77/3

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8 0
3 years ago
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Find the tangent of each angle that is not the right angle. Drag and drop the numbers into the boxes to show the tangent of each
lapo4ka [179]

Answer:

\tan \angle A= 1.33

\tan \angle B = 0.75

Step-by-step explanation:

Given:

\triangle ABC is a right triangle.

\angle ACB = 90\°

To find:

\tan \angle A

\tan \angle B

We know that tangent of an angle is given by the ratio= \frac{Opposite\ side}{Adjacent\ side}

The opposite side and adjacent side is taken with respect to the angle for which the tangent is to be found.

\tan \angle A= \frac{BC}{AC}=\frac{4}{3}=1.33

\tan \angle B= \frac{AC}{BC}=\frac{3}{4}=0.75

5 0
3 years ago
Natalie is shopping for new clothes and does not want to spend more than $65. She buys one dress for $26 and wants to buy a few
omeli [17]

Answer:

D. x ≤ 3

Step-by-step explanation:

26 + 13x ≤ 65

13x ≤ 65-26

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13x ≤ 39 ÷13

x ≤ 3

6 0
4 years ago
If pair of dice are rolled, what is the probability of getting (i) A total of 9. (ii)
Ulleksa [173]

Answer:

I) 1/9; II) 1/6.

Step-by-step explanation:

I) a total of 9 is possible, if: 4+5; 5+4; 3+6; 6+3.

The probability of 4+5 is 1/6*1/6; of 5+4 is 1/6*1/6, of 3+6 is 1/6*1/6; of 6+3 is 1/6*1/6.

The required probability is:

1/6*1/6+1/6*1/6+1/6*1/6+1/6*1/6=1/36 *4=1/9.

II) the same faces on both dices is possible, if: 1+1; 2+2; 3+3; 4+4; 5+5; 6+6.

The probability of 1+1 is 1/6*1/6; of 2+2 is 1/6*1/6; 3+3 is 1/6*1/6; 4+4 is 1/6*1/6; 5+5 is 1/6*1/6; 6+6 is 1/6*1/6.

The required probability is:

1/6*1/6+1/6*1/6+1/6*1/6+1/6*1/6+1/6*1/6+1/6*1/6=6* 1/36=1/6

7 0
3 years ago
Which expression is equivalent to the following complex fraction?
inn [45]

Answer:

\frac{3}{x - 1}  -  \frac{4}{2 }  -  \frac{2}{x - 1}  \\  =  \frac{(3 - 2)}{x - 1}  - 2 \\  =  \frac{1}{x - 1}  - 2 \\  =  \frac{1 - 2x + 2}{x - 1}  \\  =  \frac{3 - 2x}{x - 1}

8 0
3 years ago
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