factor completely 49-121x^2

Answer:

vertex: (1, –8)

Step-by-step explanation:

[tex]a=3 \\b=-6\\c=-5[/tex]

rewrite equation in vertex form: [tex]y=a(x-h)^2+k[/tex]

1. factor out 3

[tex]y=3x^{2} -6x-5\\y=3(x^{2}-2x)-5\\[/tex]  

2. complete the square using [tex](\frac{b}{2} )^{2}[/tex]:

[tex](\frac{-2}{2})^2=1[/tex]

3. add the answer from step 2 to inside the parenthesis to create a factorable trinomial. subtract the answer from step 2 from –5 and multiply it by a. remember: a = 3

[tex]y=3(x^{2} -2x+1)-5-1(3)\\y=3(x-1)(x-1)-8\\y=3(x-1)^2-8[/tex]

4. find vertex

[tex]x-1=0\\x=1[/tex]       [tex]y=-8[/tex]

vertex = [tex](1,-8)[/tex]

Answer:

toyota innova 2.8 G A/T 2021 4x1

Answer:

108

108

0410404018404400

Steps are in the attatchment. My answer to a assignment the same as this.

Step-by-step explanation:

=> 7/(5√3-5√2) × (5√3+5√2)/(5√3+5√2)

=> 7(5√3+5√2)/75-50

=> (35√3+35√2)/25.

after rationalising the denominator is 25.

hope this helps you.

Answer:

The correct answer is C [tex]3\frac{8}{33}[/tex]

Solution by separating the parts:

[tex]3\frac{8}{33}[/tex] = 3 + [tex]\frac{8}{33}[/tex]

We know that [tex]\frac{8}{33}[/tex] is 8 ÷ 33.

Therefore: [tex]3\frac{8}{33}=[/tex] 3 + (8 ÷ 33)

You then would have to use "Long Division" for 8 divided by 33

= 3 + 0.242 = 3.242424242424...

Hence giving you 3.24 repeated which is C

P.S. the quiz either looks like a PVS exam form, or a virtual school exam/quiz, I'm able to work and help with any other further questions.

Answer:

C

Step-by-step explanation:

3x-8=40                 write original equation

   +8 +8                 add 8 to each side

3x=48                    simplify

3x/3   48/3             divide

x=16                         simplify

Answer:

-18a^7

Step-by-step explanation:

When you multiply like bases, you add the exponents.

(3a^4)(-6a^3) =

-18a^7

Answer:

-18a^7

Step-by-step explanation:

hope this helped

Answer:

I think it's >-4 subtracted by 3 but I'm not sure

9514 1404 393

Answer:

  f(x) = 0.5x +4

Step-by-step explanation:

The function rule will replace h with f(x), and d with x:

  h = 0.5d +4

  f(x) = 0.5x +4

__

The table values are found by putting x into the function rule and doing the arithmetic. For example, for x=1, we have ...

  f(1) = 0.5·1 +4 = 0.5 +4 = 4.5

The full table and the graph are shown in the attachment.

Answer:

$1.50 was the total tip.

Step-by-step explanation:

Divide the total ($8.33) by 100

multiply the answer (0.0833) by the percentage (18)

you get $1.4994 to be exact, but we will round that to $1.50.

Answer:

3200 i think

Step-by-step explanation:

2,000/5=400

400x8=3200

Answer:

x=5

Step-by-step explanation:

Simplifying 5x + -7 = 2x + 8 Reorder the terms: -7 + 5x = 2x + 8 Reorder the terms: -7 + 5x = 8 + 2x Solving -7 + 5x = 8 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -7 + 5x + -2x = 8 + 2x + -2x Combine like terms: 5x + -2x = 3x -7 + 3x = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 -7 + 3x = 8 + 0 -7 + 3x = 8 Add '7' to each side of the equation. -7 + 7 + 3x = 8 + 7 Combine like terms: -7 + 7 = 0 0 + 3x = 8 + 7 3x = 8 + 7 Combine like terms: 8 + 7 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5

Answer:

4

Step-by-step explanation:

so first minus the total food price out..52-18=34

next, divide that by 8.50, you get 4. so four friends went to the movies.

Answer:

It will cost $65.

Step-by-step explanation:

A dozen is 12. To find how much it will cost, we can divide the bouquet by 12.

39 ÷ 12 = 3 r3

with the remainder, we can

12 ÷ 3 = 4

3 is 1/4 of 12.

So we can multiply the price of bouquet by 1/2 to find the remainder's price. The whole equation would look like this:

(3x20) + (1/4 x 12)

60 + (1/4 x 20)

60 + 5

65

The answer is 65.

Answer:

Step-by-step explanation:

500g=500g

432kg=43200g

43200-500=42700g

answer 42700g

Answer:

The average lifetime cost of owning a cat ranges from $5,000 to $23,000

Answer:

The average lifetime cost of owning a cat ranges from $5,000 to $23,000.

Step-by-step explanation:

hope it helps

mark me brainliest pls

Answer:

-12w - 9

Step-by-step explanation:

[tex]3w - 4w + ( - 5w) - 6w +( - 9) \\ - 1w + ( - 5w) - 6w + ( - 9) \\ - 6w - 6w + ( - 9) \\ - 12w - 9[/tex]

Hope this helps! Brainliest would be really appreciated!

Answer:

g(f(1)) = -3

Step-by-step explanation:

First calculate f(1). In order to do that, you have to substitute 1 back into every “x” that you see in the “F” function.

F(1) = 2(1)^2+6(1)-8

= 2+6-8

= 0

f(1) = 0

Now that you’ve figured out that f(1) = 0. You can substitute 0 in order to find the answer to your question.

g(f(1)) = g(0) find g(0) the same way you found f(1)

g(0) = -3(0)-3 = -3

g(f(1)) = -3

Answer:

p= 4.59

Step-by-step explanation:

Hope this helped :)

Answer:

Yes, you did really good actually.

Step-by-step explanation:

Answer:

put them in desmos......

Answer:

can't see the question man take a different picture

Answer:

25

Step-by-step explanation:

Answer:

The answer is 25

Step-by-step explanation:

The amount of degrees in a polygon: 360

In a pentagon: 360 / 5 = 72

9x - 18 = 72     Add 18 to both sides

9x = 90               Divide by 9

x = 10

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

Dilation by a factor of 1/2 about point S means each point moves to a position half as far from S as it was to begin with. Point S remains invariant. (Point S and S' are the same point.)

Answer:

Wilde River

Step-by-step explanation:

If you look at their wins and losses (47 and 11) they will have an 81% chance of winning compared to the other team's 63% chance of winning.

47/58=81

22/35=62.8

Answer:

the can reach up to 4.6 m

Given :-

To Find :-

Answer :-

The given function is ,

Substitute f(x) = 21 ,

Answer:

input = 8

Step-by-step explanation:

x is the input and f(x) is the output

Given f(x) = 2x + 5 and f(x) = 21 , then equating gives

2x + 5 = 21 ( subtract 5 from both sides )

2x = 16 ( divide both sides by 2 )

x = 8

That is the input is 8

Answer:

5,000,000

Step-by-step explanation:

10 x 10 x 10 x 10 x 10 x 10 = 1,000,000

1,000,000 x 5 = 5,000,000

Answer:

5 Mg

Step-by-step explanation:

The metric prefix associated with [tex]10^{6}[/tex] is Mega (M).

This can be written as 5 Mg.

Answer:

[tex] \sqrt{18} [/tex]

bc its result equals 4.242640687

Answer:

C [tex]\sqrt{16}[/tex] (Perfect square)

Step-by-step explanation:

Square root of 15 it will be 3.8..but doesn't repeat

Square root of 16 is 4 (perfect square)

Square root of 17 is 4.123... doesn't repeat or stop

Square root of 18 is 4.242.. but doesn't repeat or stop.

--

A rational number can be expressed as a ratio or a fraction.

--

16 can be expressed as a fraction the other numbers keep going meaning never stop.