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3 years ago

(3x+14)(2x+12)(7x+6What is the value of x?

Mathematics

1 answer:

Annette [7]3 years ago

5 0

Answer: look at the picture

Step-by-step explanation: Hope this help :D

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What are the ordered pairs of the

9966 [12]

Start by writing the system down, I will use $y$ to represent $f(x)$

$y=x^2-5x+3\wedge y=-3$

Substitute the fact that $y=-3$ into the first equation to get,

$-3=x^2-5x+3$

Simplify into a quadratic form ( $ax^2+bx+c=0$ ),

$x^2-5x+6=0$

Now you can use Vieta's rule which states that any quadratic equation can be written in the following form,

$x^2+x(m+n)+mn=0$

which then must factor into

$(x+m)(x+n)=0$

And the solutions will be $m,n$ .

Clearly for small coefficients like ours $5,6$ , this is very easy to figure out. To get 5 and 6 we simply say that $m=3, n=2$ .

This fits the definition as $5=3+2$ and $6=2\cdot3$ .

So as mentioned, solutions will equal to $m=3, n=2$ but these are just x-values in the solution pairs of a form $(x,y)$ .

To get y-values we must substitute 3 for x in the original equation and then also 2 for x in the original equation. Luckily we already know that substituting either of the two numbers yields a zero.

So the solution pairs are $(2,0)$ and $(3,0)$ .

Hope this helps :)

5 0

3 years ago

What is an equation in point-slope form of the line that passes through the point (4,4) and has a slope of -5?

Nastasia [14]

(y - 4) = -5 (x - 4)

3 0

3 years ago

Mario worked from 8:25 to 12:45 yesterday. Today

solmaris [256]

The number of hours he worked in all (written in fraction form) is $8\frac{1}{6} \ hours$

From the question,

Mario worked from 8:25 to 12:45 yesterday.

From 8:25 to 12:45 gives 4 hours 20 minutes

Also, from the question,

Today he will work from 11:20 to 3:10

From 11:20 to 3:10 gives 3 hours 50 minutes

To determine the number of hours he work in all, we will add the time spent working on the previous day to that of the current day. That is,

4 hours 20 minutes + 3 hours 50 minutes = 8 hours 10 minutes

Now, to put the answer in fraction form, we will convert 10 minutes to hours

NOTE: 60 minutes = 1 hour

∴ 10 minutes = $\frac{10}{60} \ hours$ = $\frac{1}{6} \ hours$

∴ 8 hours 10 minutes = $8\frac{1}{6} \ hours$

Hence, the number of hours he worked in all (written in fraction form) is $8\frac{1}{6} \ hours$

Learn more here: brainly.com/question/3164396

6 0

3 years ago

For the given set, first calculate the number of subsets for the set, then calculate the number of proper subsets. {18, 8, 14, 9

kicyunya [14]

Answer:

Subsets of the given set = 32

Proper subset of the given set = 31

Step-by-step explanation:

Given set is {18, 8, 14, 9, 6} having 5 elements.

We know number of subsets of a set having n elements are represented by

$2^{n}$

where n is the number of elements in the set.

Therefore, subsets of the given set = $2^{5}$

= 32

Since original set itself is a subset of its own, is not a proper subset.

Therefore, proper subset of a set = $2^{n}-1$

= $2^{5}-1$

= 32 - 1

= 31

7 0

4 years ago

of the 50 students in the cafeteria, 7 have red hair. If there are 750 students in the school, predict the number of students wh

Anna007 [38]

Answer:

105 students

Step-by-step explanation:

7/50 = x/750

(7 * 750)/50 = 5250/50

= 105

6 0

3 years ago