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3 years ago

The table shows values for functions f(x) and g(x) .

Mathematics

1 answer:

Ad libitum [116K]3 years ago

4 0

Answer:

1, 9

Step-by-step explanation:

You're looking for the values of x where f(x) = g(x). Find the matching f(x) and g(x) values in the table. The value of x on that line is one of the solutions.

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F(x)=2x+3 and g(x)=4x-2. Find f(x) x g(x). Find f(x) - g(x).

const2013 [10]

Answer:

f(x) * g(x) is 8x^2 + 8x -6

f(x) - g(x) is -2x + 5

Step-by-step explanation:

When finding the answer, we can notice they already give the values for the needed answers.

The first one requires f(x) and g(x). At the beginning of the question it shows that f(x) is equal to 2x+3. Meaning we can plug in 2x+3 for f(x).

The same goes for g(x). At the begginning of the question, it shows that g(x) is equal to 4x-2. Meaning we can plug in 4x-2 for g(x).

f(x) * g(x)

(2x+3) * (4x-2)

To find the answer, we need to distibute the 2x+3 into 4x-2.

To distribute, we do :

2x * (4x-2) + 3 * (4x-2)

First we distribute the 2x

2x * 4x = 8x^2 and 2x * -2 = -4x

8x^2 - 4x

Next we distibute the 3

3 * 4x = 12x and 3 * -2 = -6

12x - 6

Now we can combine them by adding like terms to get the asnwer:

8x^2 = 8x^2

-4x + 12x = 8x

-6 = -6

The first answer is 8x^2 + 8x -6

Second question:

Since we already know the values for f(x) and g(x), all we have to do is plug in the values.

(2x+3) - (4x-2)

This time, since we are subtracting, all we have to do is subtract like terms.

2x - 4x = -2x

3 - (-2) = 5

The second answer is -2x + 5

3 0

2 years ago

3. Leeland can eat 1 hotdog in 20 minutes. What is his unit rate in hotdogs

HACTEHA [7]

Answer:

Hi how are you doing today Jasmine

7 0

2 years ago

Two thirds of a number is no more than -10

Aliun [14]

Let x be the number in the problem. When it states that x is "no more than -10", it means than it is less than or equal to -10. So, we have

$\frac{2}{3}$ x≤-10

In order to cancel out the $\frac{2}{3}$ on the left and isolate x, we multiply both sides by $\frac{3}{2}$ (since $\frac{3}{2}$ · $\frac{2}{3}$ =1). Thus, we have

x≤-10· $\frac{3}{2}$ =-15

Therefore, x≤-15

7 0

3 years ago

12) The length of one side of a triangle is 24 cm and the length of its hypotenuse is 40 cm. find the length of its third side.

ivanzaharov [21]

Answer:

Step-by-step explanation:

given the triangle is right triangle

c^2 = a^2 + b^2

40^2 = 24^2 + b^2

1600 = 576 + b^2

b^2 = 1024

b = 32