Find all positive integer values of c that make x^2+6x+c factorable

Nataliya [291]

First you need to subtract 35 to get one equation =0.

x^2-10x-10=0 then use the quadratic formula (let me know if you need the formula of need to see these steps)

and solve to = approximately 8.87 and 1.12

3 0

4 years ago

Identify as many mistakes as you notice on Lin's graph.

laiz [17]

Answer:

The mistakes are that he placed C in the (5,8) instead of (5,7) and he placed D in (-3,-4) instead of placing it in (-4,-3)

Step-by-step explanation:

4 0

3 years ago

100 random students are surveyed outside of the student center on campus. Let V denote that the student has a Visa credit card a

mote1985 [20]

Answer:

(a) The value of P (M | V) is 0.30.

(b) The value of $P (M^{c} | V)$ is 0.70.

(c) The value of P (V | M) is 0.375.

(d) The value of $P(V^{c}|M)$ is 0.625.

Step-by-step explanation:

It is provided that,

V = a student has a Visa card

M = a student has a Master card

N = 100, n (V) = 40, n (M) = 32 and n (V ∩ M) = 12.

The probability of a student having visa card is:

$P(V) = \frac{n(V)}{N}= \frac{40}{100}=0.40$

The probability of a student having master card is:

$P(M) = \frac{n(M)}{N}= \frac{32}{100}=0.32$

The probability of a student having visa card and a master card is:

$P(V\cap M) = \frac{n(V\cap M)}{N}= \frac{12}{100}=0.12$

The conditional probability of an event, say A, given that another event, say B, has already occurred is,

$P(A|B)=\frac{P(A\cap B)}{P(B)}$

(a)

Compute the probability that a student has a master card given that he/she has a visa card also, i.e. P (M | V) as follows:

$P(M|V)=\frac{P(V\cap M)}{P(V)} =\frac{0.12}{0.40}=0.30$

Thus, the value of P (M | V) is 0.30.

(b)

Compute the probability that a student does not have a master card given that he/she has a visa card also, i.e. $P (M^{c} | V)$ as follows:

$P (M^{c} | V)=1-P(M|V)=1-0.30=0.70$

Thus, the value of $P (M^{c} | V)$ is 0.70.

(c)

Compute the probability that a student has a visa card given that he/she has a master card also, i.e. P (V | M) as follows:

$P(V|M)=\frac{P(V\cap M)}{P(M)} =\frac{0.12}{0.32}=0.375$

Thus, the value of P (V | M) is 0.375.

(d)

Compute the probability that a student does not have a visa card given that he/she has a master card also, i.e. $P(V^{c}|M)$ as follows:

$P(V^{c}|M)=1-P(V|M)=1-0.375=0.625$

Thus, the value of $P(V^{c}|M)$ is 0.625.

8 0

3 years ago

For the following problem, match the name of the number property that was used to get to each step from the previous step.

Dima020 [189]

Answer: I think it's

37×2×(-5+5+1/2) = inverse property of addition

37×2×(0+1/2) = commutative property

37×2×1/2 = identity property of addition

37×1 = inverse property of multiplication

37 = identity property of multiplication

Step-by-step explanation:

hope this helps!

3 0

4 years ago

PLEASE HELP WILL GIVE BRAINLIEST TO CORRECT ANSWER What is the slope of this line?

Alla [95]

Choice two point from the graph (look at the picture).

(0, 2) and (3, -2).

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

Substitute:

$m=\dfrac{-2-2}{3-0}=\dfrac{-4}{3}=-\dfrac{4}{3}$

Answer: The slope of this line is $\boxed{m=-\dfrac{4}{3}}$

4 0

3 years ago