6. f(x) = x ^ 2 + 2x g(x) = 3x ^ 2

Enter the values for m, n, and p that complete the difference:

inessss [21]

Answer:

p = 2

n = 14

m = 3

Step-by-step explanation:

In order to be able combine (either add or subtract) rational expressions we need to write them with a common (similar) denominator. For that reason we first find the Least Common Denominator of both fractions, that way understanding how to express the two fractions using equivalent fractions with like denominator that can be combined.

We see that the denominator of the first fraction contains the factor "x", therefore "x" has to be a factor of that least common denominator.

We also see that the second fraction contains "2" as a factor, therefore 2 has to be a factor as well for our Least Common Denominator (LCD)

So the LCD we need is the product: 2*x which we write as 2x.

Now we write the first fraction as an equivalent one but with denominator "2x" by multiplying top and bottom by 2 (and thus not changing the actual value of the fraction): $\frac{7}{x} =\frac{7*2}{x*2} =\frac{14}{2x}$

Next we do the same with the second fraction, this time multiplying top and bottom by the factor "x":

$\frac{3}{2} =\frac{3x}{2x}$

Now that both fractions are written showing the same denominator , we can combine them as indicated:

$\frac{7}{x} -\frac{3}{2} =\frac{14}{2x} -\frac{3x}{2x} =\frac{14-3x}{2x}$

This expression gives as then the values for the requested coefficients.

p = 2

n = 14

m = 3

5 0

3 years ago

Read 2 more answers

I used the pythagorean theorem. Need a second opinion

uysha [10]

Answer:

A.

Step-by-step explanation:

EF^2=18^2-12^2

EF^2=324-144

EF^2=180

EF=root 180

7 0

3 years ago

Which is the equation of Line B?

notka56 [123]

Slope-Intercept Form: y = mx + b, with m = slope and b = y-intercept
Slope Formula: $\frac{y_2-y_1}{x_2-x_1}$

So firstly, to find the slope of this equation, plug the two points, (1,1) and (-3,2), into the slope formula and solve as such:

$\frac{1-2}{1-(-3)}=-\frac{1}{4}$

Next, plug either one of the points into the x and y coordinates to solve for b as such:

$2=-\frac{1}{4}*-3+b\\2=\frac{3}{4}+b\\\frac{5}{4}=b$

Our final equation is $y=-\frac{1}{4}x+\frac{5}{4}$ , or the third option.

8 0

3 years ago

The some of two consecutive even integers is 170. find the two integers.

Tatiana [17]

2 consecutive even integers : x and x + 2

x + x + 2 = 170
2x + 2 = 170
2x = 170 - 2
2x = 168
x = 168/2
x = 84

x + 2 = 84 + 2 = 86

so ur 2 numbers are 84 and 86

8 0

3 years ago

A.) 170 B.) 300 C.)280 D.)155 Please help me

pav-90 [236]

Answer:

Step-by-step explanation:

The formula for this is

∠G = 1/2(arcEH - arcHF)

We have angle G (5x - 10) and we have arcEH (195) so we have to solve for x to find the measure of arcEHF so we can add arcEH + arcHF = arcEHF

Filling in the formula with what we have:

$5x-10=\frac{1}{2}(195-(8x+17))$

which simplifies down a bit to

$5x-10=\frac{1}{2}(195-8x-17)$ which simplifies down a bit more to

$5x-10=\frac{1}{2}(178-8x)$ Multiply both sides by 2 to get rid of the fraction and get:

2(5x - 10) = 178 - 8x which of course simplifies to

10x - 20 = 178 - 8x. Now add 8x to both sides and at the same time add 20 to both sides to get:

18x = 198 so

x = 11. Now we can find the measure of arcHF:

arcHF is 8x + 17, so arcHF is 8(11) + 17 which is 105°.

arcEH + arcHF = arcEHF so

195 + 105 = arcEHF so

arcEHF = 300°

6 0

3 years ago

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