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3 years ago

F(x)=-4x²-6x-1and g(x)=-x²-5x+3 find (f+g)(x)

Mathematics

1 answer:

gtnhenbr [62]3 years ago

5 0

$(f + g)(x) = - 4 {x}^{2} - 6x - 1 - {x}^{2} - 5x + 3 \\$

$(f + g)(x) = - 5 {x}^{2} - 11x + 2 \\$

And we're done.

Thanks for watching buddy good luck.

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Solve for x. 5x - 6 = 4x + 8

soldier1979 [14.2K]

5x - 6 = 4x + 8
-4x -4x

x - 6 = 8
+6 +6

x = 14

Answer: x = 14

8 0

3 years ago

Read 2 more answers

Please refer to the following attachment and find the value of x.

Drupady [299]

Answer:

Step-by-step explanation:

Sum of interior angles in a 4 sided quadrilateral is 360,

110 + 70 + 14x + 23x - 5 = 360

180 + 37x - 5 = 360

180 - 5 + 37x = 360

175 + 37x = 360

37x = 360 - 175

37x = 185

x = 185 / 37

x = 5

7 0

2 years ago

Read 2 more answers

A circle has a diameter with endpoints at (6, 5) and (8, 5). Write the equation for the circle.

mario62 [17]

Answer:

$(x-7)^2+(y-5)^2=1$

Step-by-step explanation:

The two things that are required to formulate the equation of the circle is the center coordinate and the radius of the circle!

Center of the circle:

The center of the circle always lies at the midpoint of the endpoints of its diameter: Let's call the endpoints A(6,5) and B(8,5).

Using the midpoint formula we'll get:

$(x_m, y_m) = \left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)$

$(x_m, y_m) = \left(\dfrac{6+8}{2},\dfrac{5+5}{2}\right)$

$(x_m, y_m) = (7,5)$

This is the center coordinate of our circle.

Radius:

The radius of the circle is the distance from the center of the circle to any of the endpoints of the diameter (A or B)

We can use the distance formula:

$r = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}$

$r = \sqrt{(x_1-x_m)^2+(y_1-y_m)^2}$

$r = \sqrt{(6-7)^2+(5-5)^2}$

$r = \sqrt{1^2}$

$r = 1$

Equation of the circle:

The equation is written as:

$(x-a)^2+(y-b)^2=r^2$

here, (a,b) are the center points of the circle

in our case this is $(a,b)=(x_m,y_m)=(7,5)$

and r = 1

$(x-7)^2+(y-5)^2=1^2$

$(x-7)^2+(y-5)^2=1$

This is the equation of the circle!

3 0

3 years ago

Find the slope of the line that passes through the pair of points. (negative 44.29−44.29,4.84.8) and (5.295.29,3.53.5)

Damm [24]

1.7602899999999995x + 49.138y = 182.23671592000002

6 0

3 years ago

PLSSSS PSL PLS PLS HELP Theresa Morgan, a chemist, has a 30% hydrochloric acid solution and a 55% hydrochloric acid solution. Ho

igomit [66]

Answer:

165 liters of 15% solution

Step-by-step explanation:

15F + 65S = 60(1650)

F + S = 1650

F = 1650-S

15(1650-S) +65S = 99000

50S = 99000-24750= 74250

S = 74250/50 = 7425/5 = 1485 liters of 65% solution

F = 1650-1485 = 165 liters of 15% solution

65 is much closer to 60 than 15 is, so you know there will be mostly 65% solution with relatively little 15%

Hope this helps, have a nice day/night! :D

8 0

2 years ago