MATHEMATICS COLLEGE

Factor the trinomial.
The factors of m2 + 12m + 35

Answers

Answer 1

Answer:

Answer:

(m + 7)(m + 5)

Step-by-step explanation:

Factor, find factors of m² & 35 that, when combined, will give 12m:

m² + 12m + 35

m 7

m 5

(m + 7)(m + 5) is your answer.

Check: Use the FOIL method to check.

(m)(m) = m²

(m)(5) = 5m

(7)(m) = 7m

(7)(5) = 35

Combine like terms:

m² + (5m + 7m) + 35 = m² + 12m + 35 √.

Answer 2

Answer:

Answer:

(m+7) and (m+5)

Step-by-step explanation:

Just had this on a test

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A fair number cube with the numbers 1, 2, 3, 4, 5, and 6 is rolled. What is theprobability of getting a multiple of 3?
Your answer

Answers

Answer:

2/6

Step-by-step explanation:

There are only 2 multiples of 3, and there are only 6 possible outcomes.

The y-intercept of a parabola is 1, and its vertex is at (1,0). What function does the graph represent?OA. Rx) = (x - 1)2
OB. Rx) = (x + 1)2
OC. Rx) = -1(x - 1)
OD. Rx) = -1(x + 1)2
Reset
Next

Answers

Considering it's y-intercept and vertex, the equation of the parabola is given by:

$y = (x - 1)^2$

What is the equation of a parabola given it’s vertex?

The equation of a quadratic function, of vertex (h,k), is given by:

$y = a(x - h)^2 + k$

In which a is the leading coefficient.

In this problem, the vertex is (1,0), hence h = 1, k = 0 and:

$y = a(x - 1)^2$

The y-intercept is of 1, hence, when x = 0, y = 1, so:

$y = a(x - 1)^2$

$1 = a(0 - 1)^2$

$a = 1$

Hence, the equation is:

$y = (x - 1)^2$

More can be learned about the equation of a parabola at brainly.com/question/24737967

Answer:

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (1, 0) , thus

y = a(x - 1)² + 0

To find a substitute the coordinates of the y- intercept (0, 1) into the equation

1 = a(- 1)² = a , thus

a = 1

y = (x - 1)² → A

Missing letter
H,I,I, K, J,M, _, O,L, Q
What is the missing letter

Answers

Answer:

Step-by-step explanation:

Answer:

N and P?

Step-by-step explanation:

Am i right

Three out of every ten dentists recommend a certain brand of fluoride toothpaste. Which assignment of random digits would be used to simulate the random sampling of dentists who prefer this fluoride toothpaste?A. none of these
B. Let “1,2,3” represent preferring the toothpaste and “0,4,5,6,7,8,9” represent not recommending the toothpaste.
C. Let “1,2,3” represent preferring the toothpaste and “4,5,6,7,8,9” represent not recommending the toothpaste.
D. Let “0,1,2” represent preferring the toothpaste and “3,4,5,6,7,8” represent not recommending the toothpaste.
Reset Selection

Answers

Let favorable event“1,2,3” represent preferring the toothpaste and sample space “0,4,5,6,7,8,9” represent not recommending the toothpaste. Option B is correct.

Three out of every ten dentists recommend a certain brand of fluoride toothpaste. Which assignment of random digits would be used to simulate the random sampling of dentists who prefer this fluoride toothpaste to determine.

What is probability?

Probability can be defined as the ratio of favorable outcomes to the total number of events.

While going throughout the option in options C and D number so the sample is not equal to 10 so both the statement is false. Option B is the correct option because the sample space is also equal to 10 and the number of the favorable events is also 3 which is mentioned in the question.

Thus, let favorable event “1,2,3” represent preferring the toothpaste and sample space “0,4,5,6,7,8,9” represent not recommending the toothpaste. Option B is correct.

Learn more about probability here:

brainly.com/question/14290572

#SPJ5

Answer:

Step-by-step explanation:

only b has 10 didgets. it could be a since the didgets aren't very random, but then again, i think it's b

6/8 reduced to the lowest term

Answers

Answer:

3/4

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

both the numerator and denominator can be divided by 2

6/2=3

8/2=4

so 6/8 in lowest terms is 3/4

Consider the function below. f(x) = 6x tan x, −π/2 < x < π/2 (a) find the vertical asymptote(s). (enter your answers as a comma-separated list. if an answer does not exist, enter dne.)

Answers

Answer:

x = −π/2, x = π/2

Step-by-step explanation:

Given f(x) = 6x tan x and the interval −π/2 < x < π/2, we know that tan x has asymptotes in both extremes of the interval. To find the vertical asymptotes we evaluate the limit in the x-values we think asymptote can appear, in this case for x = −π/2 and x = π/2.

$\lim_(x \to\ (-\pi/2)-) 6x * tan x=$