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nirvana33 [79]
3 years ago
8

What is a common factor for x^2-9 and x^2-5x+6

Mathematics
2 answers:
trapecia [35]3 years ago
5 0

Answer:

y=60x-15x^2

Step-by-step explanation:

this one opens downwards

lawyer [7]3 years ago
5 0

Answer:

x^2 -9 = (x +3) (x-3)

x^2 -5x + 6 = (x -3) (x -2)

The common factor is (x-3)

Step-by-step explanation:

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............................
prohojiy [21]
Ahh yes, negative exponents always give us a scare once and a while. All the negative means is to flip the position of its base. For instance, if x has a negative exponent and x in the denominator, all you would have to do is move x to the numerator with the same power (except it's no longer negative). Before we substitute x and all the other variables which the values given, let's eliminate the negatives first.

After flipping positions/eliminating the negative exponents it should look like this:

\frac{ 2^{2} x^{3} }{ y^{5} }
which simplifies to 
\frac{ 4 x^{3} }{ y^{5} }
now that everything is simplified, and all negative exponents are eliminated we can substitute x with 2, and y with (-4).
\frac{4 (2)^{3} }{ (-4)^{5} }
which simplifies to 
\frac{4(8)}{(-1024)} = \frac{32}{-1024} = - \frac{1}{32}

Final Answer: - \frac{1}{32} [/tex]
4 0
3 years ago
The slope of a line is 1, and the y-intercept is -1. What is the equation of the line written in slope-intercept form?
Monica [59]

Answer:

The answer is y= x -1.

Step-by-step explanation:

here, given that; the slope is 1 and y intercept is 1. so, the formula of equation of a st. line in slope intercept form is y= mx+ c.

so, y= 1×x-1 (putting value of slope as one and y intercept as -1).

therefore, the answer is y= x-1....answer.

<em><u>hope</u></em><em><u> </u></em><em><u>it helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>

5 0
3 years ago
Read 2 more answers
Draw a number line that includes both positive and negative integers from +5 to -5.
aleksandrvk [35]

Answer:

5 4 3 2 1 0 -1 -2 -3 -4 -5

Step-by-step explanation:

6 0
3 years ago
Select the correct answer. This graph represents a quadratic function. What is the value of a in this function’s equation?
Aloiza [94]

Answer:

i'm not sure but i think the answer is D

Step-by-step explanation:

the answer will be either A or D because the shape of the graph shows that the value of a is negative

6 0
3 years ago
In the 1990s the demand for personal computers in the home went up with household income. For a given community in the 1990s, th
WITCHER [35]

Answer:

a) 0.5198 computers per household

b) 0.01153 computers

Step-by-step explanation:

Given:

number of computers in a home,

q = 0.3458 ln x - 3.045 ;   10,000 ≤ x ≤ 125,000

here x is mean household income

mean income = $30,000

increasing rate, \frac{dx}{dt} = $1,000

Now,

a) computers per household are

since,

mean income of  $30,000 lies in the range of 10,000 ≤ x ≤ 125,000

thus,

q = 0.3458 ln(30,000) - 3.045

or

q = 0.5198 computers per household

b) Rate of increase in computers i.e \frac{dq}{dt}

\frac{dq}{dt} = \frac{d(0.3458 ln x - 3.045)}{dt}

or

\frac{dq}{dt}=0.3458\times(\frac{1}{x})\frac{dx}{dt} - 0

on substituting the values, we get

\frac{dq}{dt}=0.3458\times(\frac{1}{30,000})\times1,000

or

= 0.01153 computers

6 0
3 years ago
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