If f (x) = StartRoot x EndRoot + 12 and g (x) = 2 StartRoot x EndRoot, what is the value of (f – g)(144)?
–84

Answer:

7x + 5

12x^2 + 20x

2

Step-by-step explanation:

1. (g + h)(x)

We can also write this as g(x) + h(x). Next we can substitute in the expressions for each function:

g(x) + h(x)

3x + 5 + 4x

7x + 5

2. (g * h)(x)

We can also write this as g(x) * h(x). Next we can substitute in the expressions for each function:

g(x) * h(x)

(3x + 5) * (4x)

We can distribute 4x to both terms:

3x * 4x + 5 * 4x

12x^2 + 20x

3. (g - h)(3)

We can also write this as g(3) - h(3). We can separately evaluate g(3) and h(3):

g(3) = 3(3) + 5

g(3) = 9 + 5

g(3) = 14

h(3) = 4(3)

h(3) = 12

Now, we can plug in these two values:

g(3) - h(3)

14 - 12

2

Answer:

C. 4

Step-by-step explanation:

first off, we know we need the value of HJ to solve for GH. Luckily for us HJ is congruent to JK, and we have the values to solve for that using pythagorean theorum.

4^2 + JK^2 = 5^2

16 + JK^2 = 25

JK^2 = 9

JK = 3

now we can solve for GH

3^2 + GH^2 = 5^2

9 + GH^2 = 25

GH^2 = 16

GH = 4

Answer:

8.6cm

Step-by-step explanation:

V = 4/3 pi r^3 = 334, solve for r = 4.30

double for diameter = 8.61

Step-by-step explanation:

you can see there

just click the photo

Answer:

39000

Step-by-step explanation:

We have

5/7 = 60/84

11/12 = 77/84

Let the rational numbers to be searched be x, then:

60/84 < x < 77/84

-> x belongs to {61/84; 62/84; ....... 76/84}

Answer:

km is a unit of distance

and si unit of distance is meters.(m)

1 km = 10³ m

•°• 2 km = 2 × 10³ m

in SI unit 2km = 2 × 10³ m or 2000 m

Answer:

-12 and 4

Step-by-step explanation:

-12 x 4 = 48

and

-12 + 4 = -8

Answer:

-12 and +4

Step-by-step explanation:

-12 * 4 = - 48

-12 + 4 = - 8

Answer:

3

Step-by-step explanation:

9/2 Sq. units is a Right answer...

Answer:

Step-by-step explanation:

Given ΔABC with vertices:

We observe that

AB is vertical segment with length:

BC is horizontal segment with length:

The area:

Answer:

Step-by-step explanation:

a). Points on a number line are,

    x = -7, 1

    Number of small blocks between x = -7 and 1 is 8.

    Distance = 8

b). Difference between two points x = -7, 1 will be,

    1 - (-7) = 1 + 7

               = 8

    -7 - 1 = -8

c). Absolute value of each difference,

    |1 - (-7)| = 1 + 7

                = 8

    |-7 - 1| = |-8|

              = 8

Answer:

slope of line is 3/5

Step-by-step explanation:

slope is the ratio of the change in the y-values over the change in the x-values

in this problem, if you go from pt A to pt B, you rise by 3 and go to the right by 5, thus slope of 3/5

if you go from pt B to pt C, you rise by 6 and go to the right by 10

however, 6/10 can be reduced to 3/5

if you start at point (0,2) and rise by 3 and run to the right by 5 you are at point (5,5)

change in y-values is 5-2 or 3

change in x-values is 5-0 or 5

(5-2)/(5-0) = 3/5

Answer: 154

Step-by-step explanation: trust

Answer:

                          Have a cat         Do not have cat

Have a dog                 7                            5

Do not have a dog      6                            0

Step-by-step explanation:

                                           Have a cat   Do not have a cat

Have a dog                              7                 5

Do not have a dog                     6               0

The interesection of the two circles represents the number of patrons that have both dogs and cats. The number in the circle that represents the number of people that have dogs only is 5 and the number in the circle that represents the number of people that have cats only is 6.

To learn more about sets, please check: https://brainly.com/question/13192210

Answer:

3 erasers.

Step-by-step explanation:

Let p = pencils and e = erasers. Since we know that Jensen has $4, we can set up the following inequality and solve for e.

0.70p + 0.50e ≤ 4

0.70(3) + 0.50e ≤ 4

2.10 + 0.50e ≤ 4

0.50e ≤ 1.90

e ≤ 3.8

Since erasers are usually bought as whole items, the maximum amount of erasers Jensen can buy is 3.

[tex]\huge\mathsf{\red{\underline{\underline{Answer}}}}[/tex]

[tex]{\green{\dashrightarrow}}[/tex]Players score points by shooting the ball through the hoop. Basketball has become popular for a number of reasons: Basketball is fun to play: Basketball has a very fast and exciting pace of play. Also, each player on the court gets to play both offense and defense and the roles of each player are only loosely defined.

Answer:

solution;

here;

we have;

base = 20m

height = 17m

Now;

we know;

area of triangle = 1/2*b*h

                          = 1/2*20*17 [1/2 = 0.5]

                          = 0.5 * 340

                          = 170m^2

Hope you  got it !!!!

Answer:

170

Step-by-step explanation:

To find the area of a triangle, you just multiply the base by the height and divide by 2 .

In your problem, the base is 20 and the height is 17.

When you multiply those numbers, the answer is 340.

You then just have to divide that by 2, and you get 170.

Answer:

Measure of angle VWU=48°

Measure of angle SUT= 87°

Two pairs of vertical angles: SUT & VUW, VUS & WUT

Answer:

Measure of angle VUW=48° Measure of angle SUT= 87° Two pairs of vertical angles: SUT & VUW, VUS & WUT

Step-by-step explanation:

tnx for pionts

Answer: 11

Step-by-step explanation:

Given

The equation of the line [tex]y=4x-1[/tex] passes through the point [tex](3,p)[/tex]

So, point must satisfies the line i.e.

[tex]\Rightarrow p=4(3)-1\\\Rightarrow p=12-1\\\Rightarrow p=11[/tex]

Therefore, the value of p is 11.

Normal price - 3600

offer on printer = 20% = 3600×20/100 = 720

The sale price of printer = 3600 - 720= 2880

Answer:

880

Step-by-step explanation:

Answer:

Rs. 3,960 is the cost of carpeting.

Answer:

x = -4

Step-by-step explanation:

-18 = 6+6x

-18 -6 = 6x

-24 = 6x

-24/6 = x

x = -4

Checking Part:

-18 = 6 + 6x

-18 = 6 + 6(-4)

-18 = 6 -24

-18 = -18

Answer:

-4

Step-by-step explanation:

Subtract 6 to get X by itself and that leaver you with - 24=6x now divide by 6 to get x=-4

Hope this helps

Answer:

[tex]x = \frac{16}{3}[/tex]

Step-by-step explanation:

[tex]3 \times x = 8 \times 2\\3x = 16\\x = \frac{16}{3}[/tex]

Step-by-step explanation:

[tex] \tan( \frac{3\pi}{4}- x) = \frac{ \tan( \frac{3\pi}{4} ) - \tan(x) }{1 + \tan( \frac{3\pi}{4} ) \tan(x)} [/tex]

Since tan(3pi/4) = -1

[tex] \tan( \frac{3\pi}{4}- x) = \frac{ - 1 - \tan(x) }{1 - \tan(x)} [/tex]

[tex] = \frac{ \tan(x) + 1}{ \tan(x) - 1} [/tex]

Answer: x-int : (-2,0), (-5,0)

y-int: (0,10)

Step-by-step explanation:

Answer:

Step-by-step explanation:

I imagine you are in the section in math that teaches about systems! We need a system here to solve this problem...meaning we have 2 unknowns and we need to write 2 equations to solve for them. The first equation will involve the NUMBER of tickets sold, while the second equation will involve the COST of the tickets. These are 2 very different things, and we have what we need to write each equation. First the number of tickets equation:

We know that the number of student tickets (s) and the number of non-student tickets (n) totaled 15 tickets. That means the numbers equation is

s + n = 15

Now onto the money. Since s is student tickets, and each student ticket cost 12.50, the expression for that is 12.5s; since n is non-student tickets and each non-student ticket cost 18.50, the expression for that is 18.5n. That is the money expression for each type of ticket, and we know that the sales of these tickets totaled 223.50; therefore, the money equation is

12.5s + 18.5n = 223.5 (notice I dropped off the 0's since we don't need them).

Go back to the first equation and solve it for either s or n. I solve is for s:

If s + n = 15, then

s = 15 - n. Sub that into the second equation in place of s now:

12.5(15 - n) + 18.5n = 223.5 and simplify a bit by distributing to get

187.5 - 12.5n + 18.5n = 223.5 and combine like terms to get

6n = 36 so

n = 6. That means that there were 6 non-student tickets sold and

s + 6 = 15 student tickets sold:

s = 15 - 6 so

s = 9