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Naily [24]
3 years ago
9

If f(x)=2x^2+3x and g(x)=x-2, what is (f+g)(2)

Mathematics
1 answer:
Alika [10]3 years ago
8 0

Answer:

14

Step-by-step explanation:

f(x)= 2x^{2}+3x

g(x)=x-2

(f+g)= 2x^{2}+3x+x-2

(f+g)= 2x^{2}+4x-2

(f+g)(2)= 2*(2)^{2} +4*(2)-2 = 14

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Help please, tank u :)
elena-s [515]

Answer:

16 ft

Step-by-step explanation:

Let the width of the rectangle be x ft

Therefore, length = (x + 2) ft

Area of the rectangle = 15 square ft

x(x + 2) = 15 \\  \\  {x}^{2}  + 2x = 15 \\  \\  {x}^{2}  + 2x - 15 = 0 \\  \\  {x}^{2}  + 5x - 3x - 15 = 0 \\  \\ x(x + 5) - 3(x + 5) = 0 \\  \\ (x + 5)(x - 3) = 0 \\  \\ x + 5 = 0 \: or \:  \: x - 3 = 0 \\  \\ x =  - 5  \:  \: or \:  \: x = 3 \\  \\  \because \: x \: can \: not \: be \:  - ve \\  \\  \therefore \: x = 3 \\   \\  \implies \: x + 2 = 3 + 2 = 5 \\  \\ perimeter \: of \: rectngle  \\ = 2(5 + 3)  \\  = 2 \times 5 \\  = 16 \: ft

5 0
2 years ago
If you need to construct a dog run for your dog and the total perimeter needs to be 40 feet, and you only have enough room to ma
Natali [406]

Answer:

15 feet

Step-by-step explanation:

if the dog run is a rectangles then the formula for the perimeter is 2h+2l

if we plug in the numbers we know we get this:

2h+2(5)=40

2h+10=40

2h=30

h=15

6 0
3 years ago
Tan(a)+cot(b) simplify please.
Hitman42 [59]

Answer:

tan a + cot b

Step-by-step explanation:

It's already simplified.

There are alternate forms like

sec(a)csc(b)cos(a-b)\\\\sec(a)csc(b)[sin(a)sin(b)+cos(a)cos(b)]\\\\\frac{sin (a)}{cos (a)} +\frac{cos(b)}{sin(b)}

5 0
3 years ago
Find the area of the surface. the part of the surface z = xy that lies within the cylinder x2 + y2 = 81
Anika [276]
Ans: The area of the surface is: 1553.081

Explanation: Please see the image attached with this answer (find attachment).

4 0
3 years ago
Brittany has a gift box in the shape of a cube. Each side of the box measures 15 cm. what is the volume of the gift box?
miss Akunina [59]
The formula for the volume of a cube is:

v=s³

Where v=volume and s=the length of a side

Since we know that the length of a side of the gift box is 15cm, we can solve for the volume.

v=15³=3375cm³

Answer: V=3375cm³
7 0
3 years ago
Read 2 more answers
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