if f(x) equals 3X -2 what is f(5.9)

Answer:

f(3) = 8

Step-by-step explanation:

f(x) = 5x - 7

Put x as 3 and evaluate.

f(3) = 5(3) - 7

f(3) = 15 - 7

f(3) = 8

Answer: 8

Step-by-step explanation:

Answer:

Step-by-step explanation:

5^-2=1/(5^2)=1/25

Answer:

(5+a)/ ( a-1)

Step-by-step explanation:

f(x) = ( 3+x) / (x-3)

Replace x with a+2

f(a+2) = ( 3+a+2) / (a+2-3)

Combine like terms

         = (5+a)/ ( a-1)

Answer:

C. (5+a)/(a-1)

Step-by-step explanation:

f(a+2)=(3+a+2)/(a+2-3)=(5+a)/(a-1)

3x + 3y = 72

2y = 28

y = 14

x = 24 - 14 = 10

The test contains 10 three-point questions and 14 five-point questions

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Answer:

7396.29 dollars

Step-by-step explanation:

compound quarterly means 4 times a year

% annually means the rate is divided by 4(year has 4 quarter

formula to find the compound interest:

A=P(1+r)^t , where t is the time

A=P(1+0.05/4)^4

A=4500(1+0.05/4)^40=7396.29

Answer:

if x>0 and y=0 the point is located on the x-axis

Answer:

x-axis on the right side

Step-by-step explanation:

the point (x,y) located on the x-axis

example x=1, y=0

Answer:

Cheapest price is £25.38

Step-by-step explanation:

To determine the cheapest price that Sue can get the 10 rolls of wallpaper, calculate the cost of getting 10 rolls at each given price offer

=>Cost of getting 10 rolls at £9.21 per roll:

10 × £9.21 = £92.1

=>Cost of getting 10 rolls at £25.38 per pack of 3 rolls

£25.38 = 3 rolls

x = 10 rolls

x = (25.38*10)/3 = 253.8/3

10 rolls would cost x = £84.6

=>Cost of getting 10 rolls at £42.85 per pack of 5 rolls:

£42.85 = 5 rolls

x = 10 rolls

x = (10*42.85)/5 = 428.5/5

x = £85.7

From our calculation, getting 10 rolls at the price offer of £25.38 per pack of 3 rolls is the cheapest.

Therefore, the cheapest price is £25.38

Step-by-step explanation:

Can you please attach the picture of the prism.

Answer:

21

Step-by-step explanation:

The formula for triangular numbers is n×(n+1)÷2 (n is the step of next number)

we have 1, 3, 6, 10, 15 so the next step would be 6th

6×(6+1)÷2 = 21

Answer:

Use law of Cosines or Tangent

Step-by-step explanation:

This is a SAS triangle, where you have have an angle adjacent to two side lengths. But given that it is a right triangle, you can find the hypotenuse by just using the tangent formula. You can find the quantity of any angle by applying tan= opposite side/adjacent side length.

However, lets say you want to find the opposite side, side XZ, you can use the law of cosine which basically states:

c=a^2+b^2﹣2abcos(angle number).  But since it is a right triangle, just use the hypotenuse theorem which states: C^2 = A^2 + B^2

The answer for XZ would thus be: squareroot of 136 or 2(34)^1/2.

Hope this helps :)

Answer:

D. 10 feet

Step-by-step explanation:

40/8 = x/2 --> cross multiply

8x = 80

x = 10

Option D is correct, the person who casts a 2 feet shadow is 10 foot tall.

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Given that At a certain time of day, a 40-foot building casts a 8 foot shadow.

We need to find how tall is a person who casts a 2 foot shadow.

Let x be the height of the person.

Let us form a proportional equation

40/8=x/2

Apply cross multiplication

80=8x

Divide both sides by 8

x=10

Hence, the person who casts a 2 foot shadow is 10 foot tall.

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Answer:

32%

Step-by-step explanation:

I just took the test. Trust me plz. :)

Hope this helps!!! PLZ MARK BRAINLIEST!!!

Answer:

$1.35

Step-by-step explanation:

Set up a system of equations, where d represents the price of one drink and s represents the price of one sandwich:

3d + 5s = 25.05

4d + 2s = 13.80

We can solve this by elimination by multiplying the top equation by -2 and multiplying the bottom equation by 5.

-6d - 10s = -50.1

20d + 10s = 69

Add them together:

14d = 18.9

d = 1.35

============================================================

The list of triangles are:

The diagram below is probably a better way to see all the triangles.

Answer:b and c

Step-by-step explanation:

Answer:

It's (C) But if you do it like this you get 13/6

Step-by-step explanation:

Answer:

The constant of variation for the subscription cost based on the number of weeks is 4

Step-by-step explanation:

The equation of a line in intercept form is given by:

y = mx + c

Where c is the intercept on the y axis and m is the slope of the line which is constant.

In this problem, we are asked to  find the constant of variation, this can be determined from the slope because the slope is the  constant of variation.

The  Ferry Ride Cost with Number of Persons on the x-axis and Total Cost in dollars on the y-axis. The equation of a line passing through two points is given by:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

The points are (1, 2) and (5, 8), therefore using:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\y-2=\frac{8-2}{5-1}(x-1)\\ y-2=4(x-1)\\y-2=4x-4\\y=4x-4+2\\y=4x-2[/tex]

Comparing y = 4x -2 and y = mx + c, m = slope = 4

The constant of variation for the subscription cost based on the number of weeks is 4

Answer:

the answer is 1.50$

Step-by-step explanation:

Answer:

C. Peaches

Step-by-step explanation:

To find the cost of each fruit per pound, divide the cost of the fruit by how many pounds of it there are.

Apples: $6 ÷ 6 = $1

Bananas: $4 ÷ 5 = $0.80

Peaches: $5 ÷ 4 = $1.25

Kiwis: $9 ÷ 6 = $1.50

The type of fruit that has a cost of $1.25 per pound is peaches.

Hope that helps.

I hope this helps you

Answer:

26 boys.

Step-by-step explanation:

You know that there are 36 students on the soccer team, and 19 are girls. 36 - 19 = 17. There are 17 boys on the track team.

There are 18 boys on the basketball team.

To find out how many boys are on the track team, all you need to do is...

61 - (17 + 18) = 61 - 35 = 26.

There are 26 boys on the track team.

Hope this helps!

Answer:

[tex]h=6.93units[/tex]

Step-by-step explanation:

1. Use the formula of volume of a cone

Volume of a cone=[tex]\frac{1}{3}\pi r^{2} h[/tex]

2. Collecting the information from a question.

In the question, we know that radius=2 units, Volume of a cone=29 cubic units, height of a cone=?

In this question, we can also know that the question requires us to find the height of a cone.

3. Put the value of variables into the formula.

We can put all the information that are provided by a question into the formula of volume of a cone to find the answer.

[tex]\frac{1}{3} *3.14 * 2^{2} h=29 units^{3}[/tex]

pi replaces with 3.14, radius replaces with 2 units, Volume of a cone replaces with 29 units3 and we don't know what is the value of h.

Now, let's simplify and calculate the value of h.

We can simplify the formula like this,

[tex]\frac{314}{75}h =29 units^{3}[/tex]

[tex]\frac{314}{75}[/tex] is the result of [tex]\frac{1}{3}* 3.14*2^{2}[/tex]

Move [tex]\frac{314}{75}[/tex] to other side.

[tex]h=\frac{29units^{3} }{\frac{314}{75} }[/tex]

[tex]h= 6.92675 units[/tex]

But wait, this is not final answer yet, the question requires the answer to the nearest hundredth. So, we need to convert the answer to the nearest hundredth.

[tex]h= 6.92675 units[/tex]

[tex]h=6.93units[/tex]

So, the final answer is 6.93 units.

I hope my solution and explanation are clear for you. If you still cannot understand my point, you can ask me anytime!! Thank you!

Answer:

Option (D)

Step-by-step explanation:

Function in red is,

f(x) = x²

When a function f(x) is translated h units to the left, rule to be followed,

f(x) → f(x + h)

If the function is translated 2 units left,

Translated function (in blue) will be,

g(x) = (x + 2)²

Option (D) will be the answer.

Answer:

90,30

Step-by-step explanation:

let the three times be 3x then,

3x-22=68

3x=68+22

3x=90

x=90/3

x=30

again,

3x=3*30=90

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Statement 1. [tex]\angle BCA\cong\angle DAC.[/tex]

Reason 1. Alternate interior angles formed when two parallel lines are cut by a transversal are congruent.

Statement 2. [tex]\overline{AC}\cong\overline{AC}.[/tex]

Reason 2. Reflexive congruence of segments (a segment is congruent to itself).

Statement 3. [tex]\triangle ACD \cong\triangle CAB.[/tex]

Reason 3. SAS congruence (using our two congruences above and the given congruence).

Statement 4. [tex]\angle ACD=\angle CAB.[/tex]

Reason 4. Corresponding parts of congruent triangles are congruent.

Statement 5. [tex]\overline{AB}\parallel\overline{CD}.[/tex]

Reason 5. If the alternate interior angles formed when two lines are cut by a transversal are congruent, then the lines are parallel.

Statement 6. [tex]ABCD[/tex] is a parallelogram.

Reason 6. The quadrilateral satisfies the definition of a parallelogram: a quadrilateral where both pairs of opposite sides are parallel.

Answer:

takes 3 minutes, at 17 gallons per minute, for the tap to fill the tub, so 51 gallons of water flow into the tub.

The capacity of the tub is 46.5 gallons; so in 3 minutes 51-46.5 = 4.5 gallons have leaked. That's a rate of 4.5/3 = 1.5 gallons per minute.

The amount of time it will take the tub to drain at that rate is 46.5/1.5 = 31 minutes.

Answer:

46.5/1.5 = 31

Step-by-step explanation:

THIS IS THE COMPLETE QUESTION

basketball player is shooting a basketball toward the net. The height, in feet, of the ball t seconds after the shot is modeled by the equation h = 6 + 30t – 16t2. Two-tenths of a second after the shot is launched, an opposing player leaps up to block the shot. The height of the shot blocker’s outstretched hands t seconds after he leaps is modeled by the equation h = 9 + 25t – 16t2. If the ball reaches the net 1.7 seconds after the shooter launches it, does the leaping player block the shot?

Yes, exactly 0.6 seconds after the shot is launched.

Yes, between 0.64 seconds and 0.65 seconds after the shot is launched

Yes, between 0.84 seconds and 0.85 seconds after the shot is launched.

No, the shot is not blocked.

Answer:

Yes, between 0.84 seconds and 0.85 seconds after the shot is launched.

Given that the

equation for shot block height h = 9 + 25t – 16t2.

equation for ball height h = 6 + 30t – 16t2.

From the question ,it can be deducted that the shot is made before two tenths of a second or 0.2seconds

CHECK THE ATTACHMENT TO COMPLETE THE DETAILED SOLUTION

We can say that the leaping player do not block the shot and thus, the answer is it is No, the shot is not blocked.

In terms of basketball, a  shot  is known to be the act of throwing a given basketball to a hoop.

Note that in the scenario above, since the ball has reaches the net at about 1.7 seconds after the shooter launches it, We can say that the leaping player do not block the shot and thus, the answer is it is No, the shot is not blocked as it will be hard for the player to do.

See full question below:

basketball player is shooting a basketball toward the net. The height, in feet, of the ball t seconds after the shot is modeled by the equation h = 6 + 30t – 16t2. Two-tenths of a second after the shot is launched, an opposing player leaps up to block the shot. The height of the shot blocker’s outstretched hands t seconds after he leaps is modeled by the equation h = 9 + 25t – 16t2. If the ball reaches the net 1.7 seconds after the shooter launches it, does the leaping player block the shot?

Yes, exactly 0.6 seconds after the shot is launched.

Yes, between 0.64 seconds and 0.65 seconds after the shot is launched

Yes, between 0.84 seconds and 0.85 seconds after the shot is launched.

No, the shot is not blocked.

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Answer:

360.124 in expanded and exponential form :

300+60+1/10+2/100+4/1000