Factor the four-term polynomial.pq - 3r + pr - 3q.

(p - 3)(q + r)
(p - r)(q + 3)
(p + 3)(q - r)

Answers

Answer 1
Answer: Hello,

pq-3r+pr-3q=pq-3q+pr-3r=q(p-3)+r(p-3)=(p-3)(q+r)

Answer A


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Mike forgot to replace the cap on a bottle of room freshener. The room freshener began to evaporate at the rate of 15% per day. If the original amount of room freshener in the bottle was 40 grams, which of the following graphs best represents the amount of room freshener f(x) that would remain in the bottle after x days?graph of function f of x equals 30 multiplied by 0.88 to the power of x

graph of exponential function going down from left to right in quadrant 1 through the point 0, 40 and approaching the x axis

graph of function f of x equals 50 multiplied by 0.82 to the power of x

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Answers

Given:
bottle of room freshener = 40 grams
evaporates at the rate of 15% per day.

f(x) = 40(.85)^x

x    y
1   34
2   28.9
3   24.57
4   20.88
5   17.75

graph of exponential function going down from left to right in quadrant 1 through the point 0, 40 and approaching the x axis

Answer:going down from left to right in quadrant 1 through the point 0, 40 and approaching the x axis

Given f(x)= √4x and g(x)=1/x-4. which value is the domain of f o g? A. 4 B. 1. C. 5 D. -3

Answers

The domain of f o g is all x-values less than or equal to 1/4. So, the correct answer is B. 1.

What is Function ?

Function can be defined in which it relates an input to output.

To determine the domain of f o g, we need to first find the composition of f and g.

f o g(x) = f(g(x))

= √4(1/x - 4) = √(4/x - 16)

The domain of f o g is the set of all x-values for which the expression √(4/x - 16) is defined.

For the expression under the square root to be defined, we need:

4/x - 16 ≥ 0

4/x ≥ 16

x ≤ 4/16

x ≤ 1/4

Therefore, the domain of f o g is all x-values less than or equal to 1/4. So, the correct answer is B. 1.

To learn more about Function from given link.

brainly.com/question/12431044

#SPJ1

What is 2y+x=-6 and y=-2x+0 using substitution method?

Answers

2y + x = -6
y = -2x + 0

We can substitute the second equation into the first one.

2y + x = -6
2(-2x + 0) + x = -6
-4x + x = -6
-3x = -6

Divide -3 on both sides.

x = 2

Now, plug x = 2 into any equation and solve for y.

y = -2x + 0
y = -2(2) + 0
y = -4

The solution to the system of equations is (2,-4).

9p=81
helppppppppppppppppp

Answers

p = 9 becsude 9 x 9 = 81 so yeah

THE SUM OF TWO NUMBERS IS 54. IF THE SMALLER NUMBER IS 6 LESS THAN THE BIGGER ONE, FIND THE NUMBERS. (STEP BY STEP PLZ)​

Answers

Answer:

24 and 30

Step-by-step explanation:

The sum of two numbers is 54. Let's use the variables x and y to represent theses numbers:

x + y = 54

The smaller number is 6 less than the bigger one. Let's say that x is the smaller number and y is the bigger number:

y - 6 = x

Now we know that x is equivalent to y - 6. So, let's replace x with y - 6 in the original equation:

x + y = 54

y - 6 + y = 54

Combine like terms:

2y - 6 = 54

Now we can solve for y:

2y - 6 = 54

Add 6 to both sides of the equation to isolate the 2y:

2y = 60

Divide both sides by 2 to find the value of y:

y = 30

Now that we know the value of y, we can solve for x:

y - 6 = x

30 - 6 = x

24 = x

The value of the two numbers is 24 and 30.

Draw a set of objects where you can find a fractional part of the group using the total number of objects by using subgroups

Answers

Answer:

Draw 20 equilateral triangles such that 5 triangles having sides measure 4 cm , 7 triangles have sides measure 7 cm , 3 triangles have side 10 cm and rest of the triangles have side of measure 5 cm.

This will become a set of equilateral triangles .

Let consider a subgroup set of the original set of having equilateral triangle with side-length of 5 cm.

Then the number of triangle having side-length 5 cm= 20-5-7-3=5

Now, the fraction of the group having triangle with side- length 5 cm is given  by:-

\frac{\text{triangle having side-length 5 cm}}{\text{total triangle}}=(5)/(20)=(1)/(4)

We divide the total set into several sub-sets (subgroups) that contain the exact same number of members. This way we know the number of total members by adding the number of total subsets.