# The binomials shown below will be multiplied to produce a quadratic trinomial. (x + p)(x + q) Which part of the trinomial will equal the sum of p and q? A. The constant term B. The coefficient of the x-term C. The degree D. The coefficient of the x2-term

(x + p)(x + q)

x^2 + px + 1x +pq

x^2 +

**(p+q)x**+ pq

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## Related Questions

The Factor theorem states that for any polynomial f(x) if f(c)=0 then x-c is a factor of the polynomial f(x).

If any polynomial f(x) is divided by x-a and remainder is 0 that means f(a)= 0 .In other words we can say x-a is a factor of the polynomial f(x).So the statement :If a polynomial is divided by (x-a) and the remainder equals zero then (x -a) is a factor of the polynomial is True.

4. When we say pythagorean triple, this would consists of three positive integers a, b, and c, such that a2 + b2 = c2. So for the given numbers above, the set that is considered a pythagorean triple would be B. 8, 15, 17.

5. The correct answer for this question would be option D. It cannot be determined whether the triangle is obtuse, acute or right if the given values are the side lengths. It should be angles. Hope this answer helps.

For f(x)=2x+1 and g(x)=x^2-7, find (f-g)(x)

(f-g)(x)=2x+1-(x^2-7)

(f-g)(x)=2x+1-x^2+7

(f-g)(x)= -x^2+2x+8

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9x² - 36x + 36 = 0

9(x² - 4x + 4) = 0

9(x-2)(x-2) = 0

Radicand = Discriminant = 36² - 4(9)(36) = 0

there is 1 real zero that repeats itself)

zero is x=2.

Use factoring. Factors of 7 are 1 and 7

2x²-9x+7 = 0

(2x-7)(x-1) = 0

2x-7 = 0 (x-1)=0

2x = 7x=1

x = 7/2

Your solutions are x = 1 and x = 7/2

I hope my answers helped you

p = take home pay

r = rate of dollars per hour

h = number of hours worked

b = bonus

So now we can find h and let us start with the formula.

p = 0.7(rh + b)

p = 0.7*r*h + 0.7b

p - 0.7b = 0.7rh

So the answer for this problem is

**h = (p-0.7b)/0.7r**

1. C

2. A, C

3. B

4. C

5.

[Part 1]

A

[Part 2]

C

6. D

7.

[Part 1]

B

[Part 2]

A

[Part 3]

C

100% Correct

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Part A. $10 x 40 hours= $400 ($10x = W) X=

**40 hours a week**

Part b. $10 x 40 hours = $400 + $15 x Y=S ($10x=$400 +$15y=S) Y= number of hours overtime. Since he gets $15 for working more than 40 hours you take the number of hours over time and multiply it by 15.

Part c. Now that he made $490 in 1 week you know that he worked for 40 hours at a rate of $10 an hour. But that's only $400, so we need to figure out 15 times what is equal to 90. 15 times six is equal to 90 which means that Drey worked for

**46 hours**

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What is f(x) = 2x2 + 28x – 5 written in vertex form?

f(x) = 2x^2 + 28x – 5

f(x) = 2(x^2 + 14x) – 5

f(x) = 2(x^2 + 14x + 49) – 5 - 98

**f(x) = 2(x + 7)^2 – 103**

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Given f(x)=17-x^2, what is the average rate of change in f(x) over the interval [1, 5]?

average rate of change is

(f(5) - f(1))/(5 - 1) =

(17 - 5^2 - (17 - 1^2))/4 =

(17 - 25 - 17 + 1)/4 =

So the answer for this problem is

**-6**

I hope my answer helped you. Feel free to ask for more questions.

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Line Segment

E) part of a line that has two endpoints

Plane

D) a flat surface that extends infinitely and has no thickness

Perpendicular Lines

B) two lines that intersect at 90° angles

Line

A) a series of points that extend in two directions without end

Parallel Lines

C) lines that lie in the same plane and do not intersect

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f(x) = P(1 + r)^x

Now we can solve.

Given:

P = 2000

r = -0.06

f(x) = 2000 (1 - 0.06)^x

= 2000 (0.94)^x

2000 (0.94)¹² =

2000 (0.476) =

The answer is

**951.8 square kilometers.**

**The answer is**

BThe vertex of the graph is (5, –37).

B

**The parabola has a minimum.**

C

C

**D**The parabola opens up.

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180 = 7x+3 + 3x-6 + c

c = 180 - (7x+3 + 3x-6)

c = 180 - (10x - 3)

c = 177 - 10x

Hope this answers the question. Have a nice day.

**Answer:**

**Option 2,3 and 4 are correct.**

**Step-by-step explanation:**

**To find : **Which terms could be used as the first term of the expression below to create a polynomial written in standard form? Check all that apply.

**Solution : **

The polynomials in standard form is written from higher degree to lower degree** i.e. in descending order.**

**The given polynomial has degree 6**: , and it can be ordered respect any of the two variables either r or s.

Adding a new term as first term needs to have degree equal or greater than 6.

**1)** cannot use as first term because its degree is less than 6.

**2)** it can be use as degree is 9.

is the standard form.

**3) ** it can be use as degree is 10.

is the standard form.

**4) ** it can be use as degree is 6.

is the standard form.

**Therefore, Option 2,3 and 4 are correct.**

**9**

**Further explanation**

__Given:__

The product of

__Question:__

What is the value of x?

**Problem solving:**

We will solve the case about the distributive property of multiplication.

Let's rewrite and arrange the multiplication equation as follows.

Work out the multiplication of terms carefully.

Note the coefficient of the term a² on the left-hand side. Let us equate with a similar term on the right side.

Let us cross out a²**. **

**Hence, the value of x is 9.**

### Learn more

- Factoring methods brainly.com/question/2568692
- Changing the subject in a formula brainly.com/question/291105
- All the steps to get R as a subject brainly.com/question/4703807#

**Keywords: **the product, the value of x, the distributive property of multiplication, the coefficient of the term a²

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What is the range of the function f(x) = 3x2 + 6x – 9

f(x)=3x^2-6x+1

My solution is:

The domain is all real numbers--there are no restrictions like a square root or variable in the denominator

this is a U shape parabola and you want to find the bottom point, it is at the vertex

x=-b/2a =- (-6) /2 (3) =1

f(1) =3(1)^2 -6(1) +1 =3-6+1 =-2

the minimum is (1, -2)

so the range is all real numbers >= -2

By examining my solution, you could just answer the problem on your own! I hope it helps!

Find the multiplicative inverse of 6 + 2i.

First thing to do is get rid of the i. Multiplying by 6 - 2i will do this

( 6 + 2i)(6 - 2i) = 6^2 - (2i)^2 = 36 - 4(-1) = 36 + 4 = 40

Dividing by 40 gets you 1

(6 + 2i) (6-2i)/40 = 1

**The answer is (6 - 2i)/40 = (3 - i)/20**

I hope my answer has come to your help. God bless and have a nice day ahead!

Solve the equation for y 2x+6y=13

2x+6y=13

Next, transfer 2x to the right side and it will look like this:

6y=13-2x

Now, divide both sides by 6, and it will look like this:

y=13-2x

--------

6

So, this is the final answer for y.

Hope this answers your question. Have a great day!

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Which of the binomial is a factor of this trinomial x2-7x-44?

x^2-7x-44

x -11

x +4

(x-11)(x+4)

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The y-coordinate of the y-intercept is the _____ term in the equation of the line.

**constant**.

I hope my answer helped you. Feel free to ask more questions. Have a nice day!

**Answer:**

D

**Step-by-step explanation:**

She showed that f(n) - f(n - 1) was a constant difference.

The definition of an arithmetic sequence is** the difference between consecutive terms is constant, aka common difference.**

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solve for x :

−3(6−2x)≥4x+12

−18+6x≥4x+12

2x≥30

x≥15

**So the answer is D ) 15 to +infinity**

I hope my answer has come to your help. God bless and have a nice day ahead!

Which CANNOT be used in a proof? A. Theorems B.Postulates C.Properties D.Undefined Terms

Undefined terms cannot be used as a proof in mathematics.

I hope my answer has come to your help. God bless and have a nice day ahead!

we know that

__The triangle inequality theorem__ states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side

so

Let

a,b,c------> the length sides of a triangle

The theorem states that three conditions must be met

__case 1)__

__case 2)__

__case3)__

therefore

__the answer is the option__

**B. The sum of the lengths of any two sides of a triangle is greater than the length of the third side.**

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