Evaluate the function at the given values.
f(x) = 6x - 4
a. f(9)
b.10-
c. f)
a. f(9)

Answer:

([tex]\frac{18}{5}[/tex], [tex]\frac{16}{5}[/tex] )

Step-by-step explanation:

Given the 2 equations

y = 2x - 4 → (1)

x + 2y = 10 → (2)

Substitute y = 2x - 4 into (2)

x + 2(2x - 4) = 10 ← distribute and simplify left side

x + 4x - 8 = 10

5x - 8 = 10 ( add 8 to both sides )

5x = 18 ( divide both sides by 5 )

x = [tex]\frac{18}{5}[/tex]

Substitute this value into (1) for corresponding value of y

y = 2([tex]\frac{18}{5}[/tex] ) - 4 = [tex]\frac{36}{5}[/tex] - [tex]\frac{20}{5}[/tex] = [tex]\frac{16}{5}[/tex]

solution is ([tex]\frac{18}{5}[/tex], [tex]\frac{16}{5}[/tex] )

Answer:

X = 30

Step-by-step explanation:

Answer:

x=30

Step-by-step explanation:

Answer:

9898

Step-by-step explanation:

Answer:

-3 (r+8)

Step-by-step explanation:

-3 (r) -24

-3 (r) - 3 (8)

-3 (r+8)

Answer:

multiply both expressions

(8x - 2)(4)

32x - 8

simplify

32x = 8 4 ( 2 2 2 2 2 2)

-8 = 8 -1

8(4x - 1)

hope this helps

Step-by-step explanation:

Answer:

105

Step-by-step explanation:

if you cross multiply 1 [tex]\frac{7}{8}[/tex] and [tex]\frac{x}{56}[/tex] you get [tex]\frac{840}{8}[/tex] which is 105  

Answer:

Not apportionment

Step-by-step explanation:

Apportionment can be described as a way of sharing out or dividing out in the best fair method.

If a family of 10 leave the house at the same time and have to share just two bathrooms, the time allocation should not be based on age rather should be based on how early each person wakes up in the morning.

Answer:

Slope = -2

Step-by-step explanation:

y2-y1/ x2-x1

Answer: No solution

Step-by-step explanation: there is not a single value of x that would make the equation true

Answer:

Your expression for 2(x - 3) would be 2x - 6 I'm not sure what the 2x + 5 is there for. Correct me if I'm wrong. If your trying to find the value of x you cannot find it. There is no solution to find the value of X.

Answer:

7[tex]\sqrt{3}[/tex]

Step-by-step explanation:

the altitude creates two congruent 30-60-90° triangles

the ratio of the sides in a 30-60-90°, respectively, are 1 : [tex]\sqrt{3}[/tex] : 2

therefore we can set up a proportion to find the side length:

let 'x' = side length of equilateral Δ

[tex]\sqrt{3}[/tex] / 1 = 21 / x

cross-multiply:

[tex]\sqrt{3}[/tex]x = 21

x = 21 / [tex]\sqrt{3}[/tex]

rationalize the denominator by multiplying numerator and denominator by [tex]\sqrt{3}[/tex]

21[tex]\sqrt{3}[/tex] / [tex]\sqrt{3}[/tex]·[tex]\sqrt{3}[/tex] = 21[tex]\sqrt{3}[/tex] / 3 or 7[tex]\sqrt{3}[/tex]

use Pythagoras theorem

20 units

Answer:

f=5x2+4x−6

g=3x2−9

Answer:

The answer is 3t + 2

Step-by-step explanation:

Subtract t from 4t.

hoped this helped!

brainly, please?

Answer:

No it's not!

Step-by-step explanation:

because the length (long) of J and K are totally different whereas the breadth(width) of J and K is also different which does make similar in sense

Answer:

a students test score is likely to increase about 20 pointsfor each hour spent studying

Step-by-step explanation:

I hope this helps have a great day

Answer:

d=4.5

Step-by-step explanation:

Answer:

108

Step-by-step explanation:

18*6 = 108

Answer:

90°

Step-by-step explanation:

:)

Answer:

No

Step-by-step explanation:

There are 4 points between the two units

Answer:

there are inifnite solutions

Step-by-step explanation:

Answer:X=-8

Explanation:

Answer:  ruler cost $12

Step-by-step explanation:

step 1

Let cost of ruler  be represented as r

and cost of pencil be represented as p

we were given that

4 rulers and a pencil and these cost the same as 2 rulers and 4 pencils which is expressed as

4r + p = 2r+ 4p

and cost of pencil= $8

therefore

sTEP 2--- Solving

4r+ 8 = 2r+ 4 x8

4r+ 8 = 2r+ 32

4r - 2r= 32-8

2r= 24

r= 24/2 = r= $12

Answer:

Step-by-step explanation:

Step-by-step explanation / answer:

BC=2a-3b

CD=6a-9b

B,C and D lie on a straight line because 3BC=CD (parallel) and they share common point C

Answer:

[tex]0< b\leq 14.5[/tex]

Step-by-step explanation:

Let's set up our equation. We know that rectangles have two pairs of equal sides. We are also given that one pair of those sides is 1 unit longer than the other pair. Finally, we are told that the perimeter is at most 60 meters. 'At most' tells me to set up an inequality.

I'm going to set up two equations to solve this problem. First, let [tex]a[/tex] be the longer side and [tex]b[/tex] be the shorter side.

[tex]2a+2b\leq 60[/tex]

Next, because the sides are consecutive integers and [tex]b[/tex] is shorter, we can say that [tex]a-b=1[/tex].

We now have a system of equations. I will solve using substitution.

[tex]a-b=1\\a=b+1[/tex]

Substitute [tex]a[/tex] into the first equation.

[tex]2(b+1)+2b\leq 60[/tex]

Solve algebraically.

[tex]2b+2+2b\leq 60\\4b+2\leq 60\\4b\leq 58\\b\leq 14.5[/tex]

So, [tex]b[/tex] could be any integer between 0 (since distance cannot be negative) and 14.5, also written as [tex]0<b\leq 14.5[/tex].

I hope this helped!

Answer:

randomly choosing a marble from a bag, replacing it, and choosing again

rolling a number cube, rolling again, and trying to match the first roll

Explanation:

In an independent event, getting a certain outcome once does not change the probability of getting the same outcome again.

The second option (about the coins) is NOT independent because if you pull out a dime on your first try, there are fewer dimes in your pocket and you are less likely to pull out a dime the second try. The third option (about drawing a number) is also NOT independent for the same reason: you don't put the number back into the hat after drawing it out, so there's fewer numbers the second time and the probability is different.

Answer:

375

Step-by-step explanation:

If we say there were a adult tickets sold, we know that there were a + 68 student tickets sold.

a + a + 68 = 2a + 68

818 tickets were sold in total so

2a + 68 = 818

2a = 750

a = 750/2 = 375 adult tickets sold

Answer:

443

Step-by-step explanation:

So, what we basically know is the total number of tickets for adults and students altogether. In order to start this problem itself, it will require a subtraction.

So,

That's gonna be,

818 - 68= 750

For me, personally, I have a method that works for every question similar to this one. The concept is kinda weird ,yeah but it applies to all types of questions like this one.

It is

More than= Sub-add or Subadd

So, it's gonna be

this,

818 - 68= 750

750÷ 2 = 375

Number of tickets for adults will be= 375 + 68= 443

Answer:

check book

Step-by-step explanation:

ok apply formula only

Answer:

625 tiles

Step-by-step explanation:

According to the scenario, computation of the given data are as follows,

Total room floor area = 16 × 12 = 192

So, area of one third room = 192 × (1 ÷ 3)

Area of one third room = 64

Length of each tiles = 0.32

As it is a square tile, width = length, = 0.32

o, total area of each tile = 0.32 × 0.32 = 0.1024

So, number of tiles to cover 64 area of room = 64 ÷ 0.1024 = 625 tiles.

Hence, 625 tiles needed to cover one third of room.

Answer:

A is the correct answer

Step-by-step explanation: