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Mrrafil [7]
3 years ago
8

The product of two consecutive integers is 420. An equation is written in standard form to solve for the smaller integer by fact

oring.
What is the constant of the quadratic expression in this equation?

x2 + x + ___ = 0
Help quick please, its timed
Mathematics
1 answer:
Vesnalui [34]3 years ago
6 0

Answer:

The constant of the quadratic equation is -420

Step-by-step explanation:

Let

x ----> the first consecutive integer (smaller integer)

x+1 ---> the second consecutive integer

we know that

x(x+1)=420

Apply distributive property left side

x^2+x=420

subtract 420 both sides

x^2+x-420=420-420

x^2+x-420=0

therefore

The constant of the quadratic equation is -420

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A Conjuncture and the paragraph proof used to prove the conjecture are shown
Finger [1]

Answer:

Given

This is our initial premise.

2) Linear pairs of angles are supplementary

This one is a little questionable, as some definitions of linear pairs require supplementary angles, whereas others only require the intersection of two lines. Check your book or notes for any given theorems regarding supplementary angles.

3)  

m

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The definition of supplementary angles is that two angles are supplementary if their measures sum to  

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4) Substitution of 1. into 3.

As with 2), this may differ based on the teacher or book. Some may prefer that you write out the equation, whereas others may be satisfied with the references as given. Check for similar examples.

5)  

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Step-by-step explanation:

3 0
3 years ago
NEED HELP PLEASE!!!<br><br> Given f(x)=9x+4 and g(x)= -5x+1, what is g(x)-f(x)?
GenaCL600 [577]

Answer:

g(x) - f(x) = -14x - 3

Step-by-step explanation:

We need to subtract the function f(x) = 9x + 4 from the function g(x) = -5 + 1.  Rewriting these two functions in columns, we get

       g(x)= -5x+1

      - f(x) = -(9x+4)         Note:  Use parentheses as shown here.

--------------------

g(x) - f(x) = -14x - 3

6 0
3 years ago
HEY! HELP PLEASE, ASAP!! THANKS SO MUCH!!!! ​
inysia [295]

Answer: I think its b

Step-by-step explanation:

4 0
3 years ago
Part A: A circle is the set of all points that are the same distance from one given point. Find an example that contradicts this
IRINA_888 [86]

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Step-by-step explanation:

In 3-dimensional Euclidean space, a sphere is the set of all points the same distance from a given point. The given definition of a circle only applies when the given point and the solution set are in the same plane, and the geometry is Euclidean.

8 0
3 years ago
Convert the mixed number to an improper fraction. 2 7/10 A.14/10 B.27/10 C.34/10 D.37/10
boyakko [2]
So, to make a mixed number into an improper fraction, you have to multiply the whole number by the denominator and then add the numerator o that number.
2 and 7/10:
2x10=20+7=27/10!
<u>The answer would be B!</u>
I hope this helps!
7 0
3 years ago
Read 2 more answers
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