MATHEMATICS HIGH SCHOOL

Factor the polynomial completely. x^2 + 3x + 4A) (x + 2)(x + 2)
B) (x - 1)(x + 4)
C) (x - 4)(x + 1)
D) cannot be factored

Answers

Answer 1
Answer:

Answer: D) cannot be factored

Step-by-step explanation:

This polynomial is cannot be factored with these rational numbers

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A pet shelter houses 32 cats and 45 dogs. What is the ratio of dogs to total number of cats and dogs? (Write your answer using the a:b format. For example, 1:1.)

Answers

Answer: 32:45

Step-by-step explanation: They share no common factors so it would just be 32:45

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Marc is looking at the plans for his new garage. the length of the garage is 8 metres. the scale on the drawing is 1:50. what will the length of the garage be on the drawing?

Answers

The answer is 16 cm (or 0.16 m).

The scale is the ratio of the model to the real thing.
So, in the scale 1:50, the model is 1, while the real thing is 50.
Now, just make a proportion:
the model : the real thing = the model dimension : the real thing dimension
        1         :          50         =                   x                 :                    8m

From here:
x = 8m * 1 / 50 = 0.16 m = 0.16 * 100 cm = 16 cm.

What is the slope for the equation -1/2x-y=3/4

Answers

-1/2x - y = 3/4
-1/2x - 3/4 = y....so u have a slope of -1/2

Answer:

-1/2

Step-by-step explanation:

Find the value of each variable and show which property is used.

Answers

7y-2=5y+4
+2 +2
__________
7y= 5y + 6
-5y -5y
__________
2y= 6

Y=3

3x+2=23
3x =21
x= 7

7(3) -2= 5(3)+4
19=19
x=19

3(7)+2=23
23= 23
Y=23

Adding and subtracting property


Simplify and solve this equation: 4m + 9 + 5m – 12 = 42.A. m = -4
B. m = 4
C. m = –5
D. m = 5

Answers

4m + 9 + 5m – 12 = 42
Given the equation combine all similar terms found on a side of the equation.
You can add the "m" and get: 9m + 9 – 12 = 42
You can combine the 9 and the -12 and get: 9m - 3 = 42
Toget the "m" alone add or subtract any number necessary from the leftside so the number is 0, and do the same to the right: 9m - 3 + 3 = 42 +3, leaving you: 9m = 45
Divide each side by the number of "m" you have: (9m)/9 = 45/9 which simplifies to m=5.

The solution of expression 4m + 9 + 5m - 12 = 42 by combining like terms is,

⇒ m = 5

Given that,

A mathematical expression is,

⇒ 4m + 9 + 5m - 12 = 42

Now, simplify the expression by combining like terms and solve for m as,

⇒ 4m + 9 + 5m - 12 = 42

Combine like terms,

⇒ 9m - 3 = 42

Add 3 on both sides,

⇒ 9m = 42 + 3

⇒ 9m = 45

Divide by 9 on both sides,

⇒ m = 45/9

⇒ m = 5

So, the solution is,

⇒ m = 5

To learn more about the mathematical expression visit:

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What is the 12th term in the sequence?an=−16+2n


Enter your answer in the box.

Answers

What is the 12th term in the sequence?

an=−16+2n
n =term
n=12

Sub n=12
a(12)=-16+2(12)
a(12)=-16+24
a(12)=8

a12=-16+(2×12)=

-16+24=8
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