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3 years ago

Y=x^2+x-6 what is the x intercepts and how do you get the x intercepts

Mathematics

1 answer:

Romashka-Z-Leto [24]3 years ago

5 0

Answer:

x = - 3, x = 2

Step-by-step explanation:

To find the x- intercepts let y = 0 , that is

x² + x - 6 = 0 ← in standard form

Consider the factors of the constant term (- 6) which sum to give the coefficient of the x- term (+ 1)

The factors are + 3 and - 2 , since

3 × - 2 = 6 and 3 - 2 = + 1 , then

x+ 3)(x - 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 3 = 0 ⇒ x = - 3

x - 2 = 0 ⇒ x = 2

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The answer is 15.

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3 years ago

Interoperate your solution in the context of the problem. f(10)=1.75r+9

iVinArrow [24]

Answer:

Simplifying

f(r) = 5 + 1.75r

Multiply f * r

fr = 5 + 1.75r

Solving

fr = 5 + 1.75r

Solving for variable 'f'.

Move all terms containing f to the left, all other terms to the right.

Divide each side by 'r'.

f = 5r-1 + 1.75

Simplifying

f = 5r-1 + 1.75

Reorder the terms:

f = 1.75 + 5r-1

Step-by-step explanation:

tada i think

6 0

4 years ago

Read 2 more answers

Helppppppppppp:)))))))))

Whitepunk [10]

Hi there!

We are given the set of ordered pairs below:

$\large \boxed{(3, - 1),(2, - 2),(0,2),(2,1)}$

1. What is the domain?

Domain is a set of all x-values in one set of ordered pairs. So what are the x-values that I am talking about? In ordered pairs, we define x and y which both have relation to each others which we can write as (x,y). That's right, the domain is set of all x-values from ordered pairs.

Therefore, we gather only x-values from (x,y). Hence, the domain is {3,2,0,2}. Whoops! Something is not right. As we learn in Set Theory that we don't write the same or repetitive in a set. Hence, the actual domain is {0,2,3}

2. What is the range?

Because domain is set of all x-values. Then what do you think the range is? That's right! The range is set of all y-values. If you got this right before looking up the underlined words then a handclap for you! So how do we find range? Simple, we just do like finding the domain in the Q1, except we gather the y-values in (x,y) instead and make sure that we don't write same number!

Therefore, gather y-values from the ordered pairs. Hence, the range is {-2,-1,1,2}

3. Is the relation a function?

All functions are relations but not all relations are functions. Function is a set of ordered pairs where domain is not repetitive or in a set, there cannot be more than one same value. Consider the following relation: (1,1),(1,2) - Oh, looks like in a set of ordered pairs, there are two same domains which make it only a relation, and not a function. On the other hand, (1,1),(2,2) - Looking good! No same or repetitive domain, making it indeed a function.

Consider the domain from Q1 and see if there are two same values of x in a set. Looks like the relation is not a function since there are same x-values which are 2 in a set, making it only a relation. Hence, the relation is not a function.

These are all 3 answers along with an explanation. Let me know if you have any doubts regarding Relations and Functions.

From the Q1's answer, there are two bold texts, please choose the second bold text to answer (the one with underline) and not the first one (the one with same 2's).

Good luck on your assignment, have a nice day!

4 0

3 years ago

If a kid was playing for 4 hours and he did 9 activitys how much time did each activity take

nadezda [96]

Answer:

26.6667 minutes or 0.444 hours per activity.

Step-by-step explanation:

If he spent an equal amount of time on each activity, then it would have to be divided equally: 4hours/9

In minutes:

4 x 60 = 240 minutes

240/9

26.6667 minutes per activity.

In Hours:

4/9

0.444 hours per activity.

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3 years ago

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Maria has added 4 liters of pure water to 4 liters of a 20% sugar syrup. What is the concentration of the resulting solution?

rusak2 [61]

The concentration of the resulting syrup is 10 liters.

7 0

3 years ago

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