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3 years ago

If f(x) = 3x - 2 and g(x) = 2x+1, find (f+ g)(x). A. 5x-1 B. X-3 c. 5x-3 D. X-1

Mathematics

2 answers:

Vladimir79 [104]3 years ago

7 0

Answer:

A. 5x - 1

Step-by-step explanation:

3x - 2

+ 2x + 1

------------

5x-1

mihalych1998 [28]3 years ago

3 0

Answer:

5x - 1

Step-by-step explanation:

(f+g) (x) = f (x) + g (x)

3x-2 + 2x +1 = 5x -1

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to build the garden of your dreams you need 11 m^3 of coil containing 46% clay. you have two types of soil you can combine to ac

aivan3 [116]

Answer: 9m^3 of soil with 50% clay and 2m^3 of soil with 28% clay is required

Step-by-step explanation:

Let x represent the quantity of the soil containing 50% clay that you would use.

Let y represent the quantity of the soil containing 28% clay that you would use.

To build the garden of your dreams you need 11 m^3 of soil.

x + y = 11 - - - - - - - - -1

Since the soil must contain 46% clay, the total amount of clay required is 46/100 × 11 = 5.06 m^3.

you have two types of soil you can combine to achieve this: soil with 50% clay and soil with 28% clay. This means that the quantity of both soils required to achieve 5.06 m^3 will be

0.5x + 0.28y = 5.06 - - - - - - - -2

Substituting x = 11 - y into equation 1, it becomes

0.5(11 - y) + 0.28y = 5.06

5.5 - 0.5y + 0.28y = 5.06

- 0.5y + 0.28y = 5.06 - 5.5

- 0.22y = - 0.44

y = - 0.44/ -0.22 = 2

Substituting y = 2 into x = 11 - y, it becomes

x = 11 - 2 = 9

7 0

3 years ago

Plsss help no one answered the other times I put this question

svetlana [45]

Answer:

a) The equation (10s + 8w) represents the calories Bridget ate on Monday and the equation (20s + w) represents the calories she ate the next day.

b) The number of calories in each strawberry is 4 and the number of calories in each vanilla wafer cookie is 19. The solution is s= 4 and w = 19.

Step-by-step explanation:

For part A, Bridget ate 10 strawberries and 8 vanilla wafer cookies on Monday. Since the the number of calories in a strawberry is s and the number of calories in a vanilla wafer cookie is w , the number of calories Bridget ate on Monday is 10s + 8w. The next day, Bridget ate 20 strawberries and 1 vanilla wafer cookie. Hence, the number of calories Bridget ate on the next day is 20s + w.

For part B,

we will create two different simultaneous equations.

Equation 1: 10s + 8w = 192

Equation 2: 20s + w = 99

We need to find one of the terms first to solve the other term. For this case, I will solve for w first.

Multiply the first equation by 2.

Equation 3: 20s + 16w = 192*2 = 384.

Now, subtract equation 2 from this new equation.

Equation 4:

(20s + 16w) - (20s + w) = 384 - 99

20s + 16w - 20s - w = 285

15w = 285

This leaves only w left and we can solve w.

w = 285 / 15 = 19

Now, we can solve for s using equation 2.

20s + 19 = 99

20s = 99-19 = 80

Hence,

s = 80/20 = 4

7 0

3 years ago

Find the equation of the straight line with the gradient -2/3 and passing through the point(1,1)

adell [148]

Answer:

y = -2/3 x + 5/3

Step-by-step explanation:

y = mx + b

y = -2/3 x + b

1 = -2/3 × 1 + b

3/3 + 2/3 = b

b = 5/3

y = -2/3 x + 5/3

4 0

2 years ago

Jenn equally shares 40 jellybeans with some friends. Is the number that each friends gets greater than 40 or less than 40? Expla

blagie [28]

I would say that it would be less than. The question says Jenn shared a total of 40 jellybeans equally and to share with others, Jenn would have to divide the jellybeans among her friends. Since she is dividing the jellybeans, the amount each friend gets would be less than the total. Therefore it would be less than 40.

6 0

3 years ago

Which expression is equivalent to 3⁴ . 3-⁹

grigory [225]

Answer:

3^-5 or 1/3^5(b)

Step-by-step explanation:

3⁴•3^-9

When bases are same powers are to be added

So the above expression becomes

3^4+(-9)

3^4-9

3^-5

5 0

3 years ago

Read 2 more answers