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horrorfan [7]
4 years ago
9

Which of the following is the correct factorization of the trinomial below?-7x² - 5x+18​

Mathematics
1 answer:
Julli [10]4 years ago
8 0

Answer:

-(7x-9)(x+2)

Step-by-step explanation:

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3. Rectangle ABCD is shown on the coordinate grid below.
VMariaS [17]

Answer:

A. 8 units

Step-by-step explanation:

Coordinates of A = (-2, -2)

Coordinates of C = (5, 2)

Use distance formula, d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} to calculate the length of diagonal \overline{AC}.

Let,

A(-2, -2) = (x_1, y_1)

C(5, 2) = (x_2, y_2)

d = \sqrt{(5 -(-2))^2 + (2 -(-2))^2}

d = \sqrt{(7)^2 + (4)^2}

d = \sqrt{49 + 16} = \sqrt{65}

d = 8.1 (nearest tenth)

Therefore, the closest to the length of diagonal \overline{AC} = 8 units

4 0
3 years ago
Question 3(Multiple Choice Worth 1 points) (05.05) Which of the following inequalities matches the graph?
Darya [45]
Im sorry where is the graph?
5 0
3 years ago
What is 13 more than 3 times a number is 34 and what is the solution
NARA [144]

Answer:

13 + 3x = 34

Variables:

x = random number

6 0
3 years ago
Customers who purchase an aluminum-structured Audi A8 can order an engine in any of three sizes: 2.0L, 2.4L, and 2.8L. Of all Au
sergiy2304 [10]

Answer:

The probability that an Audi A8 car with 2.4L engine is selected given that the car failed emissions test taken within four years of purchase is 0.3589.

Step-by-step explanation:

Let's denote event as follows:

<em>A</em> = an Audi A8 car has a 2.0L engine.

<em>B</em> = an Audi A8 car has a 2.4L engine.

<em>C</em> = an Audi A8 car has a 2.8L engine.

<em>X</em> = an Audi A8 car failed emissions test taken within four years of purchase.

The information provided is:

P(A)=0.45\\P(B)=0.35\\P(C)=0.20\\P(X|A)=0.10\\P(X|B)=0.12\\P(X|C)=0.15

The probability that an Audi A8 car with 2.4L engine is selected given that the car failed emissions test taken within four years of purchase is:

P(B|X)=\frac{P(X|B)P(B)}{P(X)}

Compute the probability of an Audi A*8 car failed emissions test taken within four years of purchase as follows:

P(X)=P(X|A)P(A)+P(X|B)P(B)+P(X|C)P(C)\\=(0.45\times0.10)+(0.35\times0.12)+(0.20\times0.15)\\=0.117

Compute the value of P (B|X) as follows:

P(B|X)=\frac{P(X|B)P(B)}{P(X)}=\frac{0.35\times0.12}{0.117} =0.3589

Thus, the probability that an Audi A8 car with 2.4L engine is selected given that the car failed emissions test taken within four years of purchase is 0.3589.

4 0
4 years ago
An item on sale costs 95% of the original price. if the original price was $60 , what is the sale price?
Diano4ka-milaya [45]
60×95%
=$57
The sale price is $57.
3 0
3 years ago
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