The function f is defined by f(x) = x^2 - 2x - 24. If f(x+3) = x^2 - kx - 21, what is the value of k?

Answer:

I dont understand the problem because of the way its written out but I believe that the value of x itself is 1.

x=1

Step-by-step explanation:

1 x 4 = 4

(hope it helps a bit)

Answer:

x=1

y=-1

Step-by-step explanation:

hope it will help you

Answer:

C. [tex]3 \le p \le 9[/tex]

Step-by-step explanation:

The prime factor decomposition of 511 is [tex]7\times 73[/tex], where 7 is the smallest prime factor. Hence, the correct answer is C.

Answer: If he walked 20 blocks west straight from his exited appartment, then added an additional 5 blocks to the west, he would have walked a total of 25 blocks and to return to his appartment must walk 25 blocks straight back from where he cam from to return back to his appartment.

Step-by-step explanation:

Answer:

x = 60

Step-by-step explanation:

Since m is parallel to n, that means they are equal to each other.

In other words:

135 = 2x + 15

Solve for the variable:

120 = 2x

60 = x

Check your work:

135 = 2(60) + 15

135 = 120 + 15

135 = 135

Correct!

Answer:

x = 60

Step-by-step explanation:

For these two lines to be parallel, the angles m and n must be equal. Thus, 135 = 2x + 15.

Excellent. Let’s solve this equation. Subtract 15 from each side. 120 = 2x. Divide by 2, and we get 60 = x, so x = 60.

Hope this helps!

Answer:

To graph this line, move one of the points to positive three on the horizontal (side to side) line and negative six on the vertical (up and down) line. To get a slope of negative 1/2 you move down one point and right two points, and you continue until you reach the edge of the graph. Then you do the opposite on the way up (up one and left two).

Hope this helps!

Answer:  Plot the two points (3,-6) and (1, -5). Draw a straight line through those points.

See the graph below.

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

Explanation:

Plot the point (3, -6)

The slope -1/2 means the rise is -1 and the run is 2

If we moved to the right, then we'd drop down 1 and move to the right 2. That would move us from (3,-6) to (5,-7)

We can go in reverse of this. So instead of "move down 1", we move up 1. We're going left instead of right.

-----------

So we start at (3,-6) and move up 1 and to the left 2 to arrive at (1,-5)

Two points on this line are (1, -5) and (3, -6)

Once we have two points, we have enough to graph the line.

See the graph below.

If polygons are similar ratio if sides will be same

[tex]\\ \sf\longmapsto \frac{x}{50} = \frac{48}{40} \\ \\ \sf\longmapsto 40x = 48 \times 50 \\ \\ \sf\longmapsto x = \frac{48 \times 50}{40} \\ \\ \sf\longmapsto x = \frac{2400}{40} \\ \\ \sf\longmapsto x = 60[/tex]

Answer:

The answer is -13.

Step-by-step explanation:

The formula of the nth term of an AP(arthimetic progression) is a+(n-1)d.

So the 7th term will be a+6d= -1  ---(1)

The 16th term will a+15d=17  ---(2)

Subtract (2) and (1)

a+15d-(a+6d)=17-(-1)

=a+15d-a-6d=17+1

9d=18

d=18/9

d=2.

Substitute d in eq (1)

a+6(2)= -1

a+12=-1

a= -1-12= -13

Thus the general term of the ap is -13

Answer:

Let P(2,3) be the point passes through the line

Let a,b be x-intersept and y-intersept of line respectively

∵ Point P(2,3) bisect the points (a,0) and (0,b)

∴ we have 2=a+02 and 3=b+02

∴a=4 and b=6

∴ by using intersept form

x4+y6=1

Step-by-step explanation:

Hope it helps you pls mark me as brain list.

Answer:

Let  P(2,3)  be the point passes through the line

Let  a,b  be x-intersept and y-intersept of line respectively

∵  Point  P(2,3)  bisect the points  (a,0)  and  (0,b)  

∴  we have  2=(a + 0)÷2  and  3=(b + 0)÷2  

∴a=4  and  b=6  

∴  by using intersept form

x/4+y/6=1

Graph :

Answer:

Un número decimal exacto es algo de la forma:

3.27

Para reescribir este número como una fracción, podemos ver que tiene dos dígitos luego del punto.

Entonces podemos multiplicar y dividir por 100 (misma cantidad de ceros que dígitos luego del punto decimal)

así obtenemos:

3.27*(100)/(100) = 327/100

Entonces la fracción 327/100 genera un decimal exacto.

Así, encontrar 10 fracciones es trivial, 10 ejemplos son:

7/10 = 0.7

314/100 = 3.14

27/10 = 2.7

27/100 = 0.27

2/10 = 0.2

25/100 = 0.25

31/10 = 3.1

12/10 = 6/5 = 1.2

131/10 = 13.1

142/100 = 1.42

Ahora, un decimal inexacto puro es algo de la forma:

3.33...

donde el 3 se repite infinitamente.

Tratemos de reescribir este número como una fracción:

primero debemos ver la cantidad de dígitos que se repiten, en este caso es uno solo, el 3, entonces multiplicamos por 10:

3.33*10 = 33.33...

Ahora, podemos restar el numero original:

33.333... - 3.333... = 30

Entonces tenemos que:

3.33*9 = 30

3.33 = 30/9

La fracción:

30/9 nos da in decimal inexacto puro.

Ahora que sabemos construirlas, 10 ejemplos pueden ser:

30/9 = 3.33....

1/3 = 0.33...

40/9 = 4.44...

50/9 = 5.55...

60/9 = 6.66...

70/9 = 7.77...

20/9 = 2.22...

55/9 = 6.11...

544/99 = 5.5959...

10/9 = 1.11...

Finalmente, un periódico mixto es algo de la forma:

1.2343434...

Es decir, el 34 se repite infinitamente, pero también tenemos un 2 luego del punto decimal, por lo que este número no es puramente periódico.

Para construirlos, podemos tomar una fracción exacta, como

1.1 y una periódica, como 1.11...

Si las sumamos, obtenemos:

1.1 + 1.11... = 2.211...

donde el uno se repetirá infinitamente.

Así, simplemente sumando las fracciones del primer caso con las del segundo, obtendremos decimales periódicos mixtos, por ejemplo:

7/10 + 55/9 = 613/90 = 0.7 +  6.11... = 6.8111....

7/10 +  10/9 = 163/90 = 0.7 + 1.11... = 1.811....

31/10 + 10/9 = 379/90 = 3.1 + 1.11... = 4.2111...

31/10 + 20/9 = 479/90 = 3.1 + 2.22... = 5.322...

31/10 + 30/9 = 579/90 = 3.1 + 3.33... = 6.4333...

27/10 + 20/9 =  443/90 = 2.7 + 2.22... = 4.922...

37/10 + 20/9 =  533/90 = 3.7 + 2.22... = 5.922...

4/10 +  10/9 = 136/90 = 0.4 + 1.11... = 1.511....

3/100 + 10/9 = 1027/900 = 0.03 + 1.11... = 1.14111...

4/10 +  20/9 = 236/90 = 0.4 + 2.22... = 2.622....

Answer:

x = 14

Step-by-step explanation:

x - 42 = 98 - 9x

+42      +42

x = 140 - 9x

+9x       +9x

10x = 140

/10     /10

x = 14

Answer:

Step-by-step explanation:

From the picture attached,

If ΔPRQ ~ ΔPTS,

By the property of similar triangles,

Corresponding sides of the similar triangles are proportional.

[tex]\frac{PR}{PT}= \frac{PQ}{PS}[/tex]

[tex]\frac{7.5+4.5}{4.5}= \frac{20}{7.5}[/tex]

[tex]\frac{12}{4.5}=\frac{20}{7.5}[/tex]

[tex]\frac{120}{45}= \frac{200}{75}[/tex]

[tex]\frac{8}{3}=\frac{8}{3}[/tex]

By the converse of similar triangles,

If two triangles ΔPRQ and ΔPTS are similar, sides ST and QR will be parallel.

Answer:

C

Step-by-step explanation:

In fact the symbol |x| means absolute value that is ever a positive value (or equal to 0 if x = 0)

Answer:

Answer B

Step-by-step explanation:

It's a linear function

Answer:

I think it's 12

Step-by-step explanation:

Hope it helps!

Answer:

system of equations: set of one or more equations involving a number of variables

substitution method:

1. Solve one equation for one of the variables.

2. Substitute (plug-in) this expression into the other equation and solve.

3. Resubstitute the value into the original equation to find the corresponding variable.

ex:

-4x+3y=-2           y=x-1

plug in: -4x+3(x-1)=-2

simplify:  -x-3=-2

              -x=-2+3

              -x=1

answer:  x=1

Answer:

ratio 2 : 3 : 5

size of smallest angle

[tex]180 \times \frac{2}{10} \\ = 36[/tex]

Answer:

The smallest angle of a triangle is 36°.

Step-by-step explanation:

Given, the ratio of angles of a triangle is 2 : 3 : 5

Let the angles of a triangle be ∠A, ∠B and ∠C.

∠A = 2x, ∠B = 3x, ∠C = 5x

∠A+∠B + ∠C= 180°

[sum of all the angles of a triangle is 180°]

2x + 3x + 5x = 180°

10x = 180°

x=180°/10 =18°

∠A=2x=2 x 18° = 36°

∠B = 3x = 3 x 18° = 54°

∠C = 5x = 5 x 18° = 90°

Hence, the smallest angle of a triangle is 36°.

HOPE IT HELPS!!!

Answer:

15

Step-by-step explanation:

Answer:

Step-by-step explanation:

For question a: odd + even will always equal odd. so we can use 15 + 40.

For question b: 15 itself is a multiple of b.

For question c: 15 is a factor of 60. There are other answers in there.

For question d: 4^3 = 64, so 64 is one of them.

Answer:

first year

$2180

Step-by-step explanation:

9% of $2000 =$180

Step-by-step explanation:

1year $2180. so the ans is send me I'd and password of zoom Answer of ur Question bro

Answer:

there is only one way to to roll a 3

1/36 = .044 = 4.4%

Step-by-step explanation:

Answer:

let g(x)=y

y=6(x-1)

interchange the values of x and y

x=6(y-1)

Make y the subject

x=6y-6

x+6=6y

(x+6)/6=y

let:

3x+2=0

then solve it

then put the velue of x in p(x)

Answer:

q = 80 degrees

r = 70 degrees

s = 10 degrees

t = 70 degrees

u = 40 degrees

v = 60 degrees

Step-by-step explanation:

starting with the fact that all angles in any triangle always sum up to 180 degrees :

q = 180 - 60 - 40 = 80 degrees

r = 180 - (60+10) - 40 = 180 - 70 - 40 = 70 degrees

the triangle 40-60-q and v-u-blank are similar triangles. your can say the smaller triangle is just a projection of the large triangle through the focal point at angle q.

that means the angles must be equal.

v = 60 degrees

u = 40 degrees

similar for 10-r-blank and t-s-blank.

s = 10 degrees

t = 70 degrees

u=60°

v=40°

q=80°

r=70°

s=70°

t=10°

Answer:

Solution given:

t=10°[inscribed angle on a same chord or arc is equal]

V=40°[inscribed angle on a same chord or arc is equal]

u=60°[inscribed angle on a same chord or arc is equal]

AGAIN;

40+60+10+r=180°[sum of interior angle of triangle]

r+110°=180°

r=180°-110°

r=70°

again

r=s=70°[inscribed angle on a same chord or arc is equal]

again

q=r+10°[exterior angle is equal to the sum of two opposite interior angle]

q=70+10=80°

Answer:

Q3. Last option Q4. 3rd option

Step-by-step explanation:

s^2 = 9.8^2+5.1^2-2(9.8)(5.1)cos39

s^2=44.366489...

s=6.7

Answer:

[tex]118 cm^2[/tex]

Step-by-step explanation:

[tex]===========================================[/tex]

Formulas:

Area of a rectangle/square:

[tex]A=lw[/tex]

Area of a triangle:

[tex]A=bh\frac{1}{2}[/tex]

[tex]===========================================[/tex]

Side rectangles(2):

7*5=35

Multiply by 2

35*2= 70 cm

Middle rectangle:

4*7= 28 cm

Triangles(2):

[tex]4*5*\frac{1}{2} =10 cm[/tex]

Multiply by 2

10*2= 20 cm

Total:

Add.

70+28+20= 118 cm2

Answer:

x < 7

Step-by-step explanation:

4x-4<24

Add 4 to each side

4x-4+4<24+4

4x<28

Divide by 4

4x/4 <28/4

x < 7

Answer:

The first one

Step-by-step explanation:

Equation: (x - 3)^2 + (y + 4)^2 = 36

General Equation of a Circle: (x - h)^2 + (y - k)^2 = r^2

Susan did not account for the fact that the minus sign in front of the x actually indicates a positive x-coordinate. The plus sign in front of the y actually indicates a negative y-coordinate, as well. Therefore, the actual center is (3,-4).

Susan did not take the square root of 36, instead dividing it by 2. The square root of 36 is 6, which means the radius of the circle is 6.

Hope this helps!

Answer:

$30600

Step-by-step explanation:

The selling price is $180,000

The commission rate is 17% of this

(17/100) * 180000 = 30600

Step-by-step explanation:

a. 78 b.128 c. 165 d. 156 e. 180 f.208