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2 years ago

Evaluate each function for the given value

Mathematics

1 answer:

Mariulka [41]2 years ago

7 0

Answer:

3) 5

5) 1

Step-by-step explanation:

substitute the value of 9 for each 'x' in the expression

3) h(9) = 2/3(9) - 1

= 18/3 - 1

= 6-1 or 5

substitute the value of 5 for each 'x' in the expression

5) f(5) = -5² + 6(5) - 4

= -25 + 30 - 4

= 5-4 or 1

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Xelga [282]

That should be the answer

8 0

3 years ago

The height of a right cylinder is 3 times the radius of the base. The volume of the cylinder is 241 cubic units.

kifflom [539]

Answer: 6 units

Step-by-step explanation:

8 0

2 years ago

The image of a parabolic lens is traced onto a graph. The function f(x) = (x + 8)(x – 4) represents the image. At which points d

alexandr402 [8]

Answer:

x = -8 and x = 4

Step-by-step explanation:

given

f(x) = (x+8) (x - 4)

recall that at any point on the x-axis, y = 0 [i.e f(x) = 0]

hence to find where the graph crosses the x-axis, we simply substitue f(x) = 0 into the equation and solve for x

f(x) = (x+8) (x - 4)

0 = (x+8) (x - 4)

Hence

either,

(x+8) = 0 ----> x = -8 (first crossing point)

(x-4) = 0 ------> x = 4 (second crossing point)

Hence the graph crosses the x-axis at x = -8 and x = 4

7 0

2 years ago

the table below shows the function of f determine the value of f(3) that will lead to an average rate of change of 19 over the i

3241004551 [841]

ANSWER

$f(3) = - 25$

EXPLANATION

We want to determine the value of f(3) that will lead to an average rate of change of 19 over the interval [3, 5].

The average rate of change of f(x) over the interval [a,b]:

$= \frac{f(b) - f(a)}{b - a}$

If the average rate of change over the interval [3, 5] is 19, then;

$\frac{f(5) - f(3)}{5 - 3} = 19$

From the to table f(5)=13

$\frac{13 - f(3)}{2} = 19$

$13 - f(3) = 19 \times 2$

$13 - f(3) = 38$

$- f(3) = 38 - 13$

$- f(3) = 25$

$f(3) = - 25$

7 0

2 years ago

Two pieces of equipment were purchased for a total of $4000. If one piece cost $850 more than

ruslelena [56]

The price of less expensive equipment is $1575.

Step-by-step explanation:

Let,

Price of one equipment = x

Price of other equipment = y

According to given statement;

x+y=4000 Eqn 1

x = y+850 Eqn 2

Putting Eqn 2 in Eqn 1

$(y+850)+y=4000\\y+850+y=4000\\2y=4000-850\\2y=3150$

Dividing both sides by 2;

$\frac{2y}{2}=\frac{3150}{2}\\y=1575$

Putting y=1575 in Eqn 2;

$x=1575+850\\x=2425$

The price of less expensive equipment is $1575.

Keywords: linear equation, substitution method

Learn more about linear equations at:

#LearnwithBrainly

3 0

2 years ago