MATHEMATICS HIGH SCHOOL

What is the sum of the polynomials? (6x+7+x^2)+(2x^2-3)

Answers

Answer 1
Answer:

The sum of the polynomials, (6x + 7 + x²) + (2x² - 3), is: 3x² + 6x + 4.

How to Find the Sum of Polynomials?

Given the polynomial expressions, (6x + 7 + x²) + (2x² - 3), to find the sum, open the bracket first:

6x + 7 + x² + 2x² - 3

Combine like terms

x² + 2x² + 6x + 7 - 3

3x² + 6x + 4

The sum of the polynomials is: 3x² + 6x + 4.

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Answer 2
Answer:

Answer:

Option B

Step-by-step explanation:

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Activity 4: Factor Then solve1. x^2+7x=0
2. 6s^2+18s=0
3. t^+8t+16=0
4. x^2-10x+25=0
5. h^2+6h=16
6. x^2-14=5x
7. 11r+15=-2r^2
8. x^2-25=0
9. 81-4x^2=0
10. 4s^2+9=12s


PLEAAASE HELP ME!

Answers

very complex, you should ask each individual question, or give more points
general strategy:
get 1 side to equal 0
factor
set each factor to 0
solve


1. factor out the x and set each to zero
x(x+7)=0
x=0

x+7=0
subtract 7
x=-7
x=0 or -7



2. factor out the 6s
6s(s+3)=0
6s=0
s=0

s+3=0
subtract 3
s=-3
s=-3 or 0



3.  I'm assuming that the equation was supposed to be t^2+8t+16 so
find what 2 numbers multiply to get 16 and add to get 8
the numbers are 4 and 4
factor
(x+4)(x+4)=0
x+4=0
subtract 4
x=-4




4. find what 2 numbers multipy to get 25 and add to get -10
the numbers are -5 and -5
factor
(x-5)(x-5)=0
set each to zero
x-5=0
add 5
x=5



5. subtract 16 from both sides
h^2+6h-16=0
find what 2 numbers multiply to get -16 and add to get 6
the numbers are -6 and 10
factor
(h-6)(h+10)=0
set each to zero
h-6=0
add 6
h=6

h+10=0
subtract 10
h=-10
h=-10 or 6



6.subtract 5x from both sides
x^2-5x-14=0
find what 2 numbers multiply to get -14 and add to get -5
the numbers are -7 and 2
factor
(x-7)(x+2)=0
set each to zero
x-7=0
add 7
x=7

x+2=0
subtract 2
x=-2
x=-2 or 7




7.add 2r^2 to both sides
2r^2+11r+15=0
difficult so multiply 2 and 15 and get 30
not factor and find what 2 numbers multiply to get 30 and add to get 11
the numbers are 5 nd 6
split 11 up into 5 and 6
2r^2+6r+5r+15=0
group and factor
(2r^2+6r)+(5r+15)=0
factor
2r(r+3)+5(r+3)=0
reverse distribute
(2r+5)(r+3)=0
set each to zero
2r+5=0
subtract 5
2r=-5
divide 2
r=-5/2

r+3=0
subtract 3
r=-3
r=-3 or -5/2




8. this is a difference of 2 perfect squares in which if you have
x^2-y^2 that factors out of (x-y)(x+y) so
x^2-25=0
x^2-5^2=0
(x-5)(x+5)=0
set each to zero
x-5=0
add 5
x=5

x+5=0
subtract 5
x=-5
x=-5 or 5



9. differnce of 2 perfect squares
81-4x^2=0
9^2-(2x)^2=0
(9-2x)(9+2x)=0
set each to zero
9-2x=0
add 2x to both sides
9=2x
divde 2
9/2=x

9+2x=0
subtract 9 from both sidees
2x=-9
divide 2
x=-9/2
x=-9/2 or 9/2


10. subtract 12s from both sides
4s^2-12s+9=0
multiply 4 and 9 and get 36
find what 2 numbers multiply to get 36 and add to get -12
the numbers are -6 and -6
split up the -12s into -6s and -6s
4s^2-6s-6s+9=0
group
(4s^2-6s)+(-6s+9)=0
factor
2s(2s-3)+(-3)(2s-3)=0
reverse distribute
(2s-3)(2s-3)=0
set each to zero
2s-3=0
add 3
2s=3
divide 2
s=3/2









ANWERS:
1. x=0 or -7
2. s=-3 or 0
3. x=-4
4. x=5
5. h=-10 or 6
6. x=-2 or 7
7. r=-3 or -5/2
8. x=-5 or 5
9. x=-9/2 or 9/2
10. s=3/2

Megan draws a triangle on coordinate axes. She reflects the triangle across the y-axis and then translates it 5 units to the right. Which statement is true about the triangle formed from these transformations?A. It will be larger than the original triangle
B. It will be smaller than the original triangle
C. It will be congruent to the original triangle
D. It will be a different shape then the original triangle

Answers

Answer C: It will be congruent to the original triangle. Reflections and translations do not affect the size of a shape, only it’s position and the way it is viewed.

Final answer:

The triangle formed from reflecting the original triangle across the y-axis and then translating it 5 units to the right will be congruent to the original triangle.

Explanation:

The triangle formed from reflecting the original triangle across the y-axis and then translating it 5 units to the right will be congruent to the original triangle.



When a figure is reflected across the y-axis, its shape remains the same, but its orientation is flipped. Then, by translating the reflected triangle 5 units to the right, we are simply shifting it horizontally without changing its size or shape.



Therefore, the statement that is true about the triangle formed from these transformations is C. It will be congruent to the original triangle.

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What is the solution of this linear system?3x + 5y = -1
2x − 5y = 16
(-3, 2)
(-3, -2)
(3, -2)
(2, -3)

Answers

  3x + 5y =  -1
  2x -  5y = 16
          5x = 15
           5      5
            x = 3
  3x + 5y = -1
3(3) + 5y = -1
    9 + 5y = -1
  - 9           - 9
         5y = -10
          5       5
           y = -2
    (x, y) = (3, -2)

The answer is C.

To pay for a sofa, Maddie made a payment of 64 dollars each month for one year. How much did the sofa cost ?

Answers

Answer:

$768.00

Step-by-step explanation:

Maddie purchased a sofa.

To pay for the sofa, she made a payment of 64 dollars each month for one year.

She paid $64 for 12 months.

The cost of the sofa = 64 × 12

                                 = $768.00

Cost of the sofa would be $768.00.
So you need to multiply 64 times 12 and she has to pay $768

Whats the square root of 1.69?

Answers

The answer would be 1.3

A key code must contain 6 numerals. There are 10 numerals available. Using these numerals, how many different key codes may be created?

Answers

To solve, you will raise the number of numerals available (10) to the number of numerals required for each key code (6): 10 ^ 6. This will give you the total number of possible combinations. When raising 10 to a number, you simply put as many zeros as the number of the exponent: 1,000,000
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