What is the domain of the function shown in the table




HELP

Answer:

[tex]3(2x+5)(x-3)[/tex]

Step-by-step explanation:

The given equation is:

[tex]6x^{2}-3x-45[/tex]

It can be solved by using middle term splitting.

So,

[tex]6x^{2}-3x-45=6x^2+15x-18x-45\\\\=3(2x+5)(x-3)[/tex]

So, the factors of [tex]6x^{2}-3x-45[/tex] are [tex]3(2x+5)(x-3)[/tex]

Answer:

x = -1

Step-by-step explanation:

If you input -1 to both functions, you get 3.

Answer:

She should have included an exponent of 2 on the 3

Step-by-step explanation:

The factor tree can be presented as follows;

                [tex]{}[/tex]                                90

[tex]{}[/tex]                                                  ↓

[tex]{}[/tex]                                     9          ↔            10

[tex]{}[/tex]                                     ↓                           ↓

[tex]{}[/tex]                                3  ↔  3                  2  ↔  5

Therefore, the prime factorization of 90 is equal to 90 = 3 × 3 × 2 × 5

She should have wrote, 90 = 3² × 2 × 5

Therefore, the error is that she should have included an exponent of 2 on the 3.

Answer:

B

✔ She should have included an exponent of 2 on the 3.

Step-by-step explanation:

E2021

Answer:

p = 4/7c

p = 36 cups when c = 63 cups

Step-by-step explanation:

Cups of pineapple juice, p = 8

Cups of cranberry juice, c = 14

equation that describes the proportional relationship between cups of pineapple juice (p) and cups of cranberry juice (c)

p = k * c

Where,

k = constant of proportionality

p = k * c

8 = k * 14

8 = 14k

k = 8/14

k = 4/7

Therefore,

p = 4/7c

How many cups of pineapple juice are needed for 63 cups of cranberry juice?

p = 4/7c

p = 4/7 * 63

= (4 * 63) / 7

= 252/7

= 36

p = 36

p = 36 cups when c = 63 cups

Answer:

4x - 2

Step-by-step explanation:

Given

- 2x + 3 - (5 - 6x) ← distribute parenthesis by - 1

= - 2x + 3 - 5 + 6x ← collect like terms

= 4x - 2

The expression -2x + 3 – (5 – 6x) simplifies to 4x - 2.

The correct way of simplifying expressions is first solving what are inside the brackets.Then solving divisions then multiplications then additions and last subtractions.This way of solving order has a short name which is BODMAS order.

According to the given question we have to simplify the expression

-2x + 3 – (5 – 6x).

First we'll solve what are inside the brackets.

-2x + 3 - 5 + 6x.  (negative sign distributed to get a positive).

= 4x - 2.

= 2(2x - 1).

learn more about simplifying expressions here :

https://brainly.com/question/16738857

#SPJ2

Answer:

3/9

Step-by-step explanation:

P(G,G) = 1/3 × 1/3 = 1/9

P(B,B) = 1/9

P(Y,Y) = 1/9

P(same colour) 1/9 + 1/9 + 1/9 = 3/9

Answer:

first option

Step-by-step explanation:

the graph has a point of (8,2)

so see which option proves this point

2=0.25(8)

2=2

so first option is correct

Answer:

x = 11

Step-by-step explanation:

I assume you want x, so I simply rearranged the terms, subtracted, and simplified.

Answer:

wow man that is crazy

Step-by-step explanation:

the answer is 1024 because 7²+25²=b²

factor out the square which gives you

(7+25)²=b²

32²=b²

squaring 32 gives 1024

Answer:

24 units

Step-by-step explanation:

i just took the quiz

Answer:

Hope you find it helpful and usef

Answer:

3m -2

Step-by-step explanation:

(10m – 6) – (7m – 4)

Distribute the minus sign

(10m – 6) – 7m + 4

Combine like terms

3m -2

Answer:

the answer is A

Step-by-step explanation:

Answer:

the answer is 6803

Step-by-step explanation:

the first clock want to go next number and this number is 6 according to clockwise and second go 8 third go 0 and fourth go 3

Answer:

6803

Step-by-step explanation:

Answer:

Step-by-step explanation:

2/a = 1/b - 1/d

2d/a = d/b - 1

2d/a - d/b = -1

d(2/a - 1/b) = -1

d(2b-a)/(ab) = -1

d(a-2b)/(ab) = 1

d = ab/(a-2b)

Answer:

A

Step-by-step explanation:

Have a great summer :)

B.

the solution is in the picture

Answer:

Yes

Step-by-step explanation:

The question states that...

[tex]x=2\\y=2[/tex]

[tex]2\leq 4(2)-6\\2\leq 8-6\\2\leq 2[/tex]

Yes

Hope this helped! Please mark brianliest :)

Answer:yes

Step-by-step explanation:

Y<_4x-6

2<_4(2)-6

2<_8-6

2<_2

Answer:

4 feet

Step-by-step explanation:

1 yard is 3 feet

then 12 yards is 4 feet

Answer:

It is 36.

Step-by-step explanation:

It's simple math

Given:

The data values are:

7, 8, 11, 13, 14, 14, 14, 15, 16, 16, 18, 19

To find:

The outliers of the given data set.

Solution:

We have,

7, 8, 11, 13, 14, 14, 14, 15, 16, 16, 18, 19

Divide the data set in two equal parts.

(7, 8, 11, 13, 14, 14), (14, 15, 16, 16, 18, 19)

Divide each parenthesis in two equal parts.

(7, 8, 11), (13, 14, 14), (14, 15, 16), (16, 18, 19)

Now,

[tex]Q_1=\dfrac{11+13}{2}[/tex]

[tex]Q_1=\dfrac{24}{2}[/tex]

[tex]Q_1=12[/tex]

And

[tex]Q_3=\dfrac{16+16}{2}[/tex]

[tex]Q_3=\dfrac{32}{2}[/tex]

[tex]Q_3=16[/tex]

The interquartile range is:

[tex]IQR=Q_3-Q_1[/tex]

[tex]IQR=16-12[/tex]

[tex]IQR=4[/tex]

The data values lies outside the interval [tex][Q_1-1.5IQR,Q_3+1.5IQR][/tex] are known as outliers.

[tex][Q_1-1.5IQR,Q_3+1.5IQR]=[12-1.5(4),16+1.5(4)][/tex]

[tex][Q_1-1.5IQR,Q_3+1.5IQR]=[12-6,16+6][/tex]

[tex][Q_1-1.5IQR,Q_3+1.5IQR]=[6,22][/tex]

All the data values lie in the interval [6,22]. So, there are no outliers.

Hence, the correct option is 4.

Answer:

a

Step-by-step explanation:

think about it, its' obvious

Answer:

The height of the school building is approximately 21.06 meters

Step-by-step explanation:

The method of Geometry Tyler is using to determine the height of his school building is through the property that similar triangles have a common ratio of corresponding their sides

The given parameters for the triangle formed by Tyler and the mirror are;

The distance from Tyler's eyes to the ground = 1.15 meters

The horizontal distance between Tyler and the mirror at X = 0.8 m

The parameters of the triangle formed by the height, h, of the school building and the mirror at X are;

The horizontal distance between the school building and the mirror = 14.65 m

The height of the school building = h

Therefore, we have;

[tex]\dfrac{The \ distance \ from \ Tyler's \ eyes \ to \ the \ ground}{The \ height \ of the \ school \ building} =\dfrac{Tyler's \ horizontal \ distance \ from \ mirror }{The \ building \ to \ mirror \ horizontal \ distance }[/tex]Therefore;

[tex]\dfrac{1.15 \, m}{h} = \dfrac{0.8 \ m}{14.65 \ m}[/tex]

[tex]h = \dfrac{1.15 \, m \times 14.65 \, m }{0.8 \, m} = 21.059375 \ m[/tex]

The height of the school building h to the nearest hundredth meter ≈ 21.06 m.

Answer:

The answer is

[tex] \frac{3}{x} = \frac{11}{10} - \frac{4}{5} \\ \frac{3}{x} = \frac{55 - 40}{50} \\ \frac{3}{x} = \frac{15}{50} \\ \frac{3}{x} = \frac{3}{10} \\ x = 10[/tex]

Answer:there’s needs to be an image

Step-by-step explanation:

Answer:

[tex]\underline{\underline{ -10x +2}}[/tex]

Step-by-step explanation:

A expression is given to us and we need to simplify out the expression . The given expression is ,

[tex]\implies 2(-3x +1)-4x [/tex]

Open the brackets .

[tex]\implies -6x +2-4x [/tex]

Simplify the like terms .

[tex]\underline{\underline{ -10x +2}}[/tex]

Hence the correct option is (4) .

Answer:

The quantity of natural numbers between [tex]a^{2}[/tex] and [tex]c^{2}[/tex] is [tex]2\cdot (a + b) + 1[/tex].

Step-by-step explanation:

If [tex]a^{2}[/tex], [tex]b^{2}[/tex] and [tex]c^{2}[/tex] are consecutive perfect squares, then both [tex]a[/tex], [tex]b[/tex] and [tex]c[/tex] are natural numbers and we have the following quantities of natural numbers:

Between [tex]b^{2}[/tex] and [tex]c^{2}[/tex]:

[tex]c^{2} = (b+1)^{2}[/tex]

[tex]c^{2} = b^{2}+2\cdot b + 1[/tex]

[tex]c^{2}-b^{2} = 2\cdot b + 1[/tex]

And the quantity of natural numbers between [tex]b^{2}[/tex] and [tex]c^{2}[/tex] is:

[tex]c^{2}-b^{2}-1 = 2\cdot b[/tex]

Between [tex]a^{2}[/tex] and [tex]b^{2}[/tex]:

[tex]b^{2} = (a + 1)^{2}[/tex]

[tex]b^{2} = a^{2} +2\cdot a + 1[/tex]

[tex]b^{2}-a^{2} = 2\cdot a + 1[/tex]

And the quantity of natural numbers between [tex]a^{2}[/tex] and [tex]b^{2}[/tex] is:

[tex]b^{2}-a^{2}-1 = 2\cdot a[/tex]

And the quantity of natural numbers between [tex]a^{2}[/tex] and [tex]c^{2}[/tex] is:

[tex]Diff = 2\cdot a + 2\cdot b + 1[/tex]

Please observe that the component +1 represents the natural number [tex]b^{2}[/tex]

Answer:

192

Step-by-step explanation:

calculator

Answer:

Y = 2x + 5

Step-by-step explanation:

2x is your slope and 5 is your y intercept.

The formula for this is: y = mx + b