(7x^2 - x - 2) - ( -6x^3 + 3) A. 6x^3 + 7x^2 - x - 5
B. -6x^3 + 7x^2 - x + 1
C. -x^3 - x - 5
D. x^2 - x + 1

Answers

Answer 1
Answer: 7x^2 + -x + -2 + 6x^2 + - 3

6x^3 + 7x^2 – x – 5

Your answer is A: 6x^3 + 7x^2 – x – 5

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Match the vocabulary word to its correct definition. 1. additive inverse a number belonging to the set made up of the whole numbers and their opposites 2. integer 4 a number belonging to the set made up of zero and the natural numbers 3. irrational number the opposite or negative of a number; the sum of a number and its additive inverse is zero 4. natural number a number belonging to the set made up of the numbers that are used to count: 1, 2, 3, and so on 5. rational number a number that can be written as a ratio of two integers in the form a/b with b ≠ 0 6. whole number a number that cannot be written as a ratio of two integers, which has an infinite decimal representation that does not repeat

Answers

Answer with explanation:

We have to match each of the words to it's definition:

  • Additive inverse--  the opposite or negative of a number; the sum of a number and its additive inverse is zero

( Since we know that for any real number a the additive inverse of the number is " -a "  )

  • Integer--   a number belonging to the set made up of the whole numbers and their opposites.

( We know that the integers are the numbers of the form {.....-4,-3,-2,-1,0,1,2,3,4,.....}  )

  • Irrational number --  a number that cannot be written as a ratio of two integers, which has an infinite decimal representation that does not repeat

( We know that irrational number is an opposite of a rational number

Hence, it could not be written in the form of p/q where p and q are integers and q≠0]

also the decimal expansion of such a number is non-recurring and non-repeating )

  • Natural number -- a number belonging to the set made up of the numbers that are used to count: 1, 2, 3, and so on .

( These are the numbers which are used to count)

  • Rational number -- a number that can be written as a ratio of two integers in the form a/b with b ≠ 0
  • Whole number -- a number belonging to the set made up of zero and the natural numbers.

Answer:Answer with explanation:

We have to match each of the words to it's definition:

Additive inverse--  the opposite or negative of a number; the sum of a number and its additive inverse is zero

( Since we know that for any real number a the additive inverse of the number is " -a "  )

Integer--   a number belonging to the set made up of the whole numbers and their opposites.

( We know that the integers are the numbers of the form {.....-4,-3,-2,-1,0,1,2,3,4,.....}  )

Irrational number --  a number that cannot be written as a ratio of two integers, which has an infinite decimal representation that does not repeat

( We know that irrational number is an opposite of a rational number

Hence, it could not be written in the form of p/q where p and q are integers and q≠0]

also the decimal expansion of such a number is non-recurring and non-repeating )

Natural number -- a number belonging to the set made up of the numbers that are used to count: 1, 2, 3, and so on .

( These are the numbers which are used to count)

Rational number -- a number that can be written as a ratio of two integers in the form a/b with b ≠ 0

Whole number -- a number belonging to the set made up of zero and the natural numbers.

H(x)=x2+2x g(x)=-2x+4 Find(h-g)(x)
O x2+3x+1
O x2+4x-4
O x2-4x-4
O -x2-4x+4

Answers

Answer:

Step-by-step explanation:

x^2 + 2x + 2x - 4

x^2 + 4x - 4

Option 2 is the answer

What is the slope of the equation for y=9-1.5x

Answers

The\ slope-intercept\ formula:y=mx+b\n\nm\to the\ slope\nb\to\ y-intercept\n------------------\n\ny=9-1.5x\ny=-1.5x+9\n\n\boxed{The\ slope\ m=-1.5}
This is called slope-intercept form. It is when a linear equation is written y=mx+b.
The m is the slope (rise over run or rate of change) and the b is the y-intercept (where this line crosses the y-axis).
So Think of rewriting this equation as:
y=-1.5x+9
Looks like y=mx+b doesn't it.
This means -1.5=m and thus the slope is -1.5.

With the 20% off coupon, Alexis received a discount of $15 on her shoes. What was the regular price of her shoes before the 20% off coupon was applied? Justify your answer using equations, models, and/or words to explain your mathematical reasoning.Please answer so a middle school kid can understand

Answers

Answer: 75

regular price ---- x

it said the 20% discount came to $15

so,

.2x = 15

x = 15/.2 = 75

Hope this helps :)

Please consider marking my answer the Brainliest!

there are 40 students in a class. 60% are boys. 25% of the boys have brown hair. how many boys have brown hair?

Answers

Answer:

10 boys have brown hair

Step-by-step explanation:

40 x .25 = 10

Answer:

10 boys

Step-by-step explanation:

D (t)=16t□2+96t+112 where t represents time in seconds

Answers

a.
the starting point is where t=0
d(0)=-16(0)^2+96(0)+112
D(0)=112
started from 112 feet


b. max height is vertex
for
y=ax^2+bx+c
the x value of the vertex is -b/2a

so
D(t)=-16t^2+96t+112
t value of vertex is -96/(2*-16)=3
it reaches after 3 seconds

C. simpliy evaluate D(t) for t=3
D(3)=-16(3)^2+96(3)+112
D(3)=-16(9)+288+112
D(3)=-144+400
D(3)=256
max height is 256ft