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schepotkina [342]
2 years ago
12

F(x) = 4x² + 5x - 3 g(x) = 4x³ 3x² + 5 Find (f+g)(x).

Mathematics
1 answer:
Dmitriy789 [7]2 years ago
5 0

Answer:

4x^3+7x^2+5x+2

Step-by-step explanation:

Given:

f(x)=4x^2+5x-3

g(x)=4x^3+3x^2+5

\begin{aligned}\implies (f+g)(x)=f(x)+g(x) & = (4x^2+5x-3) + (4x^3+3x^2+5) \\& = 4x^2+5x-3+4x^3+3x^2+5 \\& = 4x^3+4x^2+3x^2+5x-3+5 \\& = 4x^3+7x^2+5x+2 \\\end{aligned}

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A triangle has a height that is 2 inches more than three times the base and an area of 60 in. Find the base and the height of th
const2013 [10]

Answer:

Height = 20, Base = 6

Step-by-step explanation:

The area of a triangle is \frac{bh}{2}

where b is the base and h is the height

H = 3B + 2\\\frac{B(3B + 2)}{2}=60\\\\3B^2 + 2B = 120\\3B^2+2B - 120=0\\

We can factor by grouping

3B^2 - 18B + 20B - 120 = 0\\3B(B - 6) + 20(B-6) = 0\\GCF the (B-6)\\(B-6)(3B+20)=0\\B = 6, B = \frac{-20}{3}

Length can only be positive, so we know that the base is 6 in

The height must be 2 + 3(6) = 20

Height = 20, Base = 6

8 0
3 years ago
Please answer URGENT
aliya0001 [1]
The answer would be 90 because all you do is add the numbers ! (: pls mark me brainliest
8 0
2 years ago
En un hotel hay 67 habitaciones entre dobles y sencillas, si el número de camas es 92. ¿Cuántas habitaciones hay de cada tipo?​
Alina [70]

Answer:

25 dobles y 42 sencillas

Step-by-step explanation:

25 x 2 = 50 camas + 42 = 92

y 25 habitaciones dobles + 42 sencillas = 67

7 0
3 years ago
Please hurry!!!
algol [13]

Answer:

Gallons of punch used = 4.94 gallons

Step-by-step explanation:

Given that:

Liters of punch purchased = 25 liters

Liters of punch left over = 6 liters

Liters of punch used = 25 - 6 = 19 liters

According to the given statement;

1 liter = 0.26 gallons

19 liters = 0.26*19 gallons

19 liters = 4.94 gallons

Hence,

Gallons of punch used = 4.94 gallons

7 0
3 years ago
Math question plz help
Svetach [21]

Answer:

Yes they are.

Because:

As said in the rules you have to keep the bases and add the exponents.

7 0
3 years ago
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