When Vlad moved to his new home a few years ago, there was a young oak tree in his backyard. He measured it once a year and found that it grew by 26 centimeters each year. 4.5, years after he moved into the house, the tree was 29 centimeters tall.
How tall was the tree when Vlad moved into the house?
centimeters
How many years passed from the time Vlad moved in until the tree was 357 centimeters tall?

Answer:[tex]6k^2-7k=33\\-33 -33\\6k^2-7k-33=0\\a=6\\b=-7\\c=-33\\\\k=-(-7)+/-\sqrt{-7^2-4(6)(-33)} /2(6)\\\\k=\frac{7+/-\sqrt{841} }{12} \\k=3,-11/6[/tex]

Answer:

2$

Step-by-step explanation:

16$ times 5 = 80

80 divided by 40 =2

Answer:

$2

Step-by-step explanation:

Answer:45 games

Step-by-step explanation: 1+1 is 2 so yeah

Answer:

I think its 45 games

Step-by-step explanation:

75% times 60 = 45

*My school in middle school was rushed about math when we learned percent. Like the teachers were talking so fast, sorry if I'm wrong. <--- reason if I'm wrong.

Answer:

24/64..........................

Step-by-step explanation:

hope this helped

Answer:

x = 21.9317122

Step-by-step explanation:

20² + 9² = x²

400 + 81 = x²

481 = x²

square root both answers and that's your answer

Answer:

(f ￮ g)(8) = - 6

Step-by-step explanation:

Evaluate g(8), then substitute the value obtained into f(n)

g(8) = 8 - 2 = 6 , then

f(6) = - 6

Answer:

-62

Step-by-step explanation:

Two functions are given to us , which are ,

[tex]\bf\implies f(n)= -n \\\\\bf\implies g(n)= n - 2 [/tex]

We need to find , ( f • g )(8) . So ,

⇒ ( f • g) = - n ( n - 2 )

⇒ ( f • g) = -n² + 2

⇒ (f • g) = 2 - n²

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

Substituting n = 8 :-

⇒ ( f • g)(n) = 2 - n²

⇒ ( f • g)(8) = 2 - 8²

⇒ (f • g)(8) = 2 - 64

⇒ ( f • g)(8) = -62 .

Answer:

i think d is the correct one

Answer:

It's be 5,11

Step-by-step explanation:

Answer:

I think it has to y=mx+b

Step-by-step explanation:

Answer:

The second one. it's the only one that has a pattern for both sides. for every x value that goes up, the y-values goes down one. that function has a slope of -1

Step-by-step explanation:

I hope this helps :)

Answer:

a = -2 and p = 4.

Step-by-step explanation:

x²+2(3x+p)=0

x^2 + 6x + 2p = 0

For the general equation ax^2 + bx + c = 0, the sum of roots = -b/a and their product = c / a.

So here we have:

Sum of the roots:

a + 2a = -6/1 = -6

Product of the roots = 2a^2 = 2p/1 = 2p..

So 3a = -6 and

a = -2.

and

2(-2)^2 = 2p

8 = 2p

p = (-2)^2 = 4.

Answer:

see explanation

Step-by-step explanation:

Since x = a and x = 2a are roots, then substitute these values into the equation.

x = a

a² + 2(3a + p) = 0, that is

a² + 6a + 2p = 0 → (1)

x = 2a

(2a)² + 2(3(2a) + p) = 0

4a² + 12a + 2p = 0 → (2)

Solving simultaneously

Subtract (1) from (2) term by term to eliminate p

3a² + 6a = 0 ← in standard form

3a(a + 2) = 0 ← in factored form

Equate each factor to zero and solve for a

3a = 0 ⇒ a = 0

a + 2 = 0 ⇒ a = - 2

Since a ≠ 0 then a = - 2

Substitute a = - 2 into either of the 2 equations and solve for p

substituting into (1)

(- 2)² + 6(- 2) + 2p = 0

4 - 12 + 2p = 0

- 8 + 2p = 0 ( add 8 to both sides )

2p = 8 ( divide both sides by 2 )

p = 4

Thus a = - 2 and p = 4

--------------------------------------------

a + 1 = - 2 + 1 = - 1

a - 5 = - 2 - 5 = - 7

If x = - 1 and x = - 7 are roots then the corresponding factors are

(x + 1) and (x + 7) and the quadratic equation is the product of the factors, that is

(x + 1)(x + 7) = 0 ← expand left side using FOIL

x² + 8x + 7 = 0

Answer:

Welcome to Gboard clipboard, any text you copy will be saved here.

Answer:

[tex] \frac{y - ( - 4)}{x - 0} = \frac{3 - ( - 4)}{2 - 0} \\ \frac{y + 4}{x} = \frac{3 + 4}{2} \\ \frac{y + 4}{x} = \frac{7}{2} \\ 2(y + 4) = 7x \\ 7x = 2y + 8 \\ 7x - 2y = 8 \\ 2y = 7x - 8 \\ \boxed{y = \frac{7}{2}x - 4}[/tex]

Answer:0.00234

Step-by-step explanation:

Answer:

$286

Step-by-step explanation:

220:100=2.2

2.2 x 30 = 66

220+66=286

Answer:

183.6 miles

Step-by-step explanation:

Kindly check the picture attached for the solution diagram

Using the cosine formula (Diagram has two sides and an included angle)

x² = y² + z² - 2zy * cosX

x² = 150² + 60² - 2(150*60) * cos115

x² = 22500 + 3600 - 18000 * −0.422618

x² = 22500 + 3600 + 7607.1287

x² = 33707.128 miles

x = √33707.128

x = 183.59501

x = 183.6 miles

Answer:

D

Step-by-step explanation:

183.60

9514 1404 393

Answer:

Step-by-step explanation:

Subtracting the remainder from the original polynomial gives a polynomial that has (x^2 -1) as a factor. Dividing, we find the quotient and remainder to be ...

  (x^5 +ax^3 +bx^2 +x -1)/(x^2 -1) = (x^3 +(1+a)x +b) remainder (2+a)x +(b -1)

Since we want the remainder to be zero, we require ...

  2+a = 0   ⇒   a = -2

  b -1 = 0   ⇒   b = 1

_____

The attachment shows the division as given in the problem statement (with the given remainder expression).

Answer:

A 2808

Step-by-step explanation:

From top to bottom

The top one is 9

Second layer is 16

Third is 23

Bottom is 30

I did 9 x 6, 16 x 6, 23 x 6, 30 x 6 = 54, 96, 138, 180

Added all of them up and got 468 then I times it by 6 and got 2808

Heyo! ;D

The volume of the sandcastle above is 10,596 cubic inches.

Hope this helped! If so, please lmk! Tysm and good luck!

Answer:

it has to be 77.7

Step-by-step explanation:

Answer:

Step-by-step explanation:

the answer is x<0

because

x-4+4<-4+4

Answer:

125 square feet of a yard.

Step-by-step explanation:

So 1 lb of grass seed will fill 25 square feet of yard. Multiply 25 by 5 and get 125.

Answer:

ok? what am i supposed to do

Step-by-step explanation:

Answer:

The answers are 2, 6, 10, 2.

Step-by-step explanation:

Answer:

a = 12

b = 2

c = 11

Step-by-step explanation:

[tex] \frac{( {x}^{5}y {z}^{4} )^{3} }{ {x}^{3} yz} = {x}^{a} {y}^{b} {z}^{c} \\ \\ \frac{ {x}^{5 \times 3}y^{3} {z}^{4 \times 3} }{ {x}^{3} yz} = {x}^{a} {y}^{b} {z}^{c} \\ \\ \frac{ {x}^{15}y^{3} {z}^{12} }{ {x}^{3} yz} = {x}^{a} {y}^{b} {z}^{c} \\ \\ {x}^{15 - 3} {y}^{3 - 1} {z}^{12 - 1} = {x}^{a} {y}^{b} {z}^{c} \\ \\ {x}^{12} {y}^{2} {z}^{11} = {x}^{a} {y}^{b} {z}^{c} \\ \\ equating \: like \: terms \: from \: both \: sides \\ \\ {x}^{12} = {x}^{a} \: \implies \: a = \boxed{ 12}\\ \\ {y}^{2} = {y}^{b} \: \implies \: b = \boxed{ 2} \\ \\ {z}^{11} = {z}^{c} \: \implies \: c = \boxed{ 11}[/tex]

9/x = x/9

The answer is =9

Answer:

[tex]B=\frac{V+5}{H}[/tex]

Step-by-step explanation:

Add 5 to both sides:

V+5=BH

Divide both sides by H:

[tex]B=\frac{V+5}{H}[/tex]

Answer:

not a function

Step-by-step explanation:

there are two of the same inputs 4 and 4 that will cause it to not be a function

Answer:

haircut =9 and hair color= 3

Step-by-step explanation:

Step one:

GIven data

let the haircut be x

and hair color be y in numbers.

so

18x+42y=288------------1

x+y=12---------------------2

from 1

x=12-y, put this in 2, we have

18(12-y)+42y=288

216-18y+42y=288

collect like terms

24y=288-216

24y=72

divide both sides by 24

y=72/24

y=3

put y= 3 in 2

x+3= 12

x= 12-3

x=9

Answer:

[tex]\sqrt{13}[/tex]

The rate of change of distance between two cars at the given time is required.

The required rate of change is [tex]\sqrt{13}[/tex] feet/s

a = Distance covered in 5 s by bike A = [tex]2\times 5=10\ \text{feet}[/tex]

b = Distance covered in 5 s by bike B = [tex]3\times 5=15\ \text{feet}[/tex]

c = Distance between A and B in 5 s = [tex]\sqrt{10^2+15^2}=5\sqrt{13}\ \text{feet}[/tex]

Applying Pythagoras theorem

[tex]a^2+b^2=c^2[/tex]

Differentiating with respect to time

[tex]2a\dfrac{da}{dt}+2b\dfrac{db}{dt}=2c\dfrac{dc}{dt}\\\Rightarrow \dfrac{dc}{dt}=\dfrac{a\dfrac{da}{dt}+b\dfrac{db}{dt}}{c}\\\Rightarrow \dfrac{dc}{dt}=\dfrac{10\times 2+15\times 3}{5\sqrt{13}}\\\Rightarrow \dfrac{dc}{dt}=\sqrt{13}\ \text{feet/s}[/tex]

Learn more about rate of change:

https://brainly.com/question/8728504