All categories

3 years ago

the function f is defined by f(x)=150/x-z where z is a constant. find z if the value of f at x=1/5 is equal to 250

Mathematics

2 answers:

malfutka [58]3 years ago

8 0

Answer:

x = -1 $\frac{1}{20}$

Step-by-step explanation:

f( $\frac{1}{5}$ ) = 120, therefore we can create this equation:

120 = 150 ÷ ( $\frac{1}{5}$ - z)

cross-multiply to get: 24 - 120z = 150

-120z = 126

z = -1 $\frac{3}{60}$

Lelechka [254]3 years ago

5 0

Answer:

z=500

Step-by-step explanation:

since we know that the whole equation is equal to 250, we can substitute values in.

250=150/1/5 -z

250=750-z

-500=-z

z=500

You might be interested in

julia wants to make 8 bows using 18 ft of ribbon. she wants to use an equal length of ribbon for each bow with no ribbon left ov

Rama09 [41]

2.25 ft of ribbon per bow

Hope this helps:)

6 0

4 years ago

Eddie had 20 minutes to do a three-problem quiz. He spent 10 7 10 minutes on question A and 5 2 5 minutes on question B. How muc

mixer [17]

Answer: Time spent on Question C=3 9/10

Step-by-step explanation:

Total Time to do the entire quiz= 20 minutes

Time spent on Question A=10 7 /10 minutes

Time spent on Question B=5 2/ 5 minutes

Time spent on Question C=Total Time to do the entire quiz-(Time spent on Question A+Time spent on Question B)

20mins- (10 7 /10 +5 2/ 5)

20mins - ( 15 7+4 /10)

20mins - ( 15 11/10=16 1/10))

20mins -16 1/10

19 10/10 -16 1/10

Therefore Time spent on Question C= 3 9/10

6 0

3 years ago

Yoko runs10 miles in75 minutes. At the same rate, how many miles would she run in 69 minutes?

Ostrovityanka [42]

She would run 9.2 miles.

3 0

3 years ago

Read 2 more answers

Which expression is equivalent to -4(5x - 9) + 6(2x + 5)?

schepotkina [342]

Answer:

-4(5x - 9) + 6(2x + 5)

multiplication of:

(-).(-) = +

(-).(+) = -

(+).(-) = -

(+).(+) = +

-4(5x) -4(- 9) + 6(2x + 5)

(-)(+)4(5x) (-)(-)4(9) (+)(+) 6(2x) (+)(+)6( 5)

-20x + 36 + 12x + 30

-20x + 12x + 36 + 30

-8x + 66

Step-by-step explanation:

7 0

3 years ago

Carrie place is a 10 foot ladder against the wall if the ladder makes an angle of 65° with the level ground how far up the wall

natita [175]

Answer:

9......

Step-by-step explanation:

A right-angled triangle in the image below will be formed.

Now, we will make use of the trigonometric rule......

But before that, how do know the perfect rule to apply so as to solve the problem?

#. The side facing the angle 65 deg. is called the Opposite side

#. The side facing the angle 90 deg. is called the Hypotenuse

#. While the last side is called the Adjacent

Now, Looking at our question, we were given the Hypotenuse and asked to look for the Opposite side....This is where we apply the trigonometric rule

Sine(θ)=Opposite/Hypotenuse

Therefore,

Sine 64 = Opposite/10

Opposite = 10 x sine64

Opposite = 10 x 0.9

Opposite = 9cm

6 0

3 years ago

Read 2 more answers