What is the domain of the function represented by the graph?
U
2
2
all real numbers
-43x4
0-3 Oy <0

Answer:

  -2x^3 +13x^2 +3x -54

Step-by-step explanation:

The product is found using the distributive property.

  (x -6)(-2x^2 +x +9) = x(-2x^2 +x +9) -6(-2x^2 +x +9)

  = -2x^3 +x^2 +9x +12x^2 -6x -54

  = -2x^3 +13x^2 +3x -54

Answer:

If statement(1) holds true, it is correct that [tex]\small \frac{r}{s}[/tex] is an integer.

If statement(2) holds true, it is not necessarily correct that [tex]\small \frac{r}{s}[/tex] is an integer.

Step-by-step explanation:

Given two positive integers [tex]r[/tex] and [tex]s[/tex].

To check whether [tex]\small \frac{r}{s}[/tex] is an integer:

Condition (1):

Every factor of [tex]s[/tex] is also a factor of [tex]r[/tex].

[tex]r \geq s[/tex]

Let us consider an example:

[tex]s = 5^2 \cdot 2\\r = 5^3 \cdot 2^2[/tex]

[tex]\dfrac{r}{s} = \dfrac{5^3\cdot2^2}{5^2\cdot2} = 10[/tex]

which is an integer.

Actually, in this situation [tex]s[/tex] is a factor of [tex]r[/tex].

Condition 2:

Every prime factor of s is also a prime factor of r.

(But the powers of prime factors need not be equal as we are not given the conditions related to powers of prime factors.)

Let

[tex]r = 2^2\cdot 5\\s =2^4\cdot 5[/tex]

[tex]\dfrac{r}{s} = \dfrac{2^3\cdot5}{2^4\cdot5} = \dfrac{1}{2}[/tex]

which is not an integer.

So, the answer is:

If statement(1) holds true, it is correct that [tex]\small \frac{r}{s}[/tex] is an integer.

If statement(2) holds true, it is not necessarily correct that [tex]\small \frac{r}{s}[/tex] is an integer.

Answer:

the perimeter of the square is 12 mm

Step-by-step explanation:

each side of the square is 3 mm

Answer:

Explanation: The sum of the lengths of any two sides of a triangle must exceed the length of the third side; therefore, 5+7 > x, which cannot happen if x = 13.

Answer:

1/9 < 0.25 < 6/5

Answer:

2000 + .05x >= 2200

Step-by-step explanation:

2000 is how much she already has

.05 is 5% of sales

x is the unknown amount of sales

2200 is how much she needs

The rate is just 5% increase.

Answer:

27.22 m

Step-by-step explanation:

The scale factor is:

Height of the model according to scale factor:

Answer:  B) $63, because the price of each pack is $7

Step-by-step explanation:

Packs of Popcorn      2     4      6      8

Price of Packs           14    28    42     56

We can see that the rate is constant between each set of numbers in the table.  

[tex]\dfrac{price}{packs}:\dfrac{14}{2}=\dfrac{28}{4}=\dfrac{42}{6}=\dfrac{56}{8}=\$7\ \text {per pack}[/tex]

$7 per pack x 9 packs = $63

Answer:

b

Step-by-step explanation:

Answer:

[tex]4p {}^{2} + 4p \: + 5p + 5[/tex]

[tex] = )4p {}^{2} + 9p + 5[/tex]

[tex] = )4p {}^{2} + (5 + 4)p \: + 5[/tex]

[tex] = )4p {}^{2} + 4p \: + 5p \: + 5[/tex]

[tex] = )4p(p \: + 1) + 5(p \: + 1)[/tex]

p = - 1 , -5/4

Mark as brainliest.

Answer:

[tex]4p {}^{2} + 4p \: + 5p \: + 5[/tex]

[tex] = 4p {}^{2} + 4p \: + 5p \: + 5[/tex]

[tex] = 4p \times (p + 1) + 5 \times (p + 1)[/tex]

p +1 =0

=) p = -1

Answer:

[tex]\frac{2}{9}[/tex]

Step-by-step explanation:

there is a four out of nine change to get a green marble

there is a 1/2 change to get heads

[tex]\frac{4}{9}[/tex]×[tex]\frac{1}{2} =\frac{2}{9}[/tex]

Answer:

Hey there!

2x+9+103=180

2x+112=180

2x=68

x=34

Let me know if this helps :)

Answer:

34 degrees

Step-by-step explanation:

(2x+9) degrees and 103 degrees  form a linear pair

Therfore, the sum of these two angles = 180

(2x+9)+103=180

=>2x+112=180

=>2x=180-112

=>2x=68

=>x=68/2

=>x=34

The value of x is 34 degrees

Answer:

18.6

Step-by-step explanation:

Adding -20.4 to 39 is the same as subtracting 20.4 from 39. 39 - 20.4 = 18.6.

Answer:

See each problem number below for answers.

Step-by-step explanation:

To solve this problem, we must remember the rules of addition and subtraction.  If we are adding a negative, this is the same thing as subtracting a positive number (because subtraction is defined as the addition of a negative number).  In addition, if we are subtracting a negative number, the two negative signs cancel each other out, and we are left with addition of a positive number.  Let's use these rules in the problems you have given.

1) 2 - (-73)

Since the subtraction of a negative is the same as addition, we can rewrite this as:

2 + 73

which is a simple computation and leaves us with:

75

2) 39 + (-20.4)

The addition of a negative is the same as subtraction, so we can rewrite this as:

39 - 20.4

which is a simple computation and yields:

18.6

3) 67.086 - (-20)

The subtraction of a negative is the same as addition (similar to problem 1)

67.086 + 20 = 87.086

4) 60 + (-19)

The addition of a negative is the same as subtraction (similar to problem 2)

60 - 19 = 41

5) 87 - 64.05

This is a simple subtraction problem, the computation gives us the answer of:

87 - 64.05 = 22.95

Hope this helps!

Answer:

ab+13b-3a+3ab^2+76

Step-by-step explanation:

(ab?+13b-4a)+(3ab^2+a+76)

ab+13b-4a+3ab^2+a+76

collect like term

.           -4a               a

.

.

ab+13b-3a+3ab^2+76

Answer:

RP/SP =3 , RP/RS = 3/4

Step-by-step explanation:

Here is the complete question

Three colinear points on the coordinate plane are R(x,y) S(x+8h, y+8k) and P(x+6h,y+6k) Determine value of RP/SP and RP/RS?

Solution

We first find the length of RS, SP and RP as follows

RS = S(x+8h, y+8k)  - R(x,y)

= √[((x + 8h) - x)² + ((y + 8k) - y)²]

= √[x - x + 8h)² + (y - y + 8k)²]

= √[(8h)² + (8k)²] = 8√(h² + k²)

SP = P(x + 6h,y + 6k) - S(x+8h, y+8k)  

= √[((x + 6h) - (x + 8h))² + ((y + 6h) - (y + 8k))²]

= √[x - x + 6h - 8h)² + (y - y + 6k - 8k)²]

= √[(-2h)² + (-2k)²] = 2√(h² + k²)

RP = P(x+6h, y+6k)  - R(x,y)

= √[((x + 6h) - x)² + ((y + 6k) - y)²]

= √[x - x + 6h)² + (y - y + 6k)²]

= √[(6h)² + (6k)²] = 6√(h² + k²)

So, RP/SP = 6√(h² + k²)/2√(h² + k²)

= 6/2

= 3

RP/RS = 6√(h² + k²)/8√(h² + k²)

= 6/8

= 3/4

Answer:

Hey there!

60x=360

x=6

Let me know if this helps :)

Hi there! :)

Answer:

Formula: 60t = 360

Solved: t = 6 hours.

Given:

Speed of car = 60 mph

Total distance = 360 miles

Remember, the formula to solve for time (t) given distance (d) and speed (s)  is t = d / s, or t · s = d.

Substitute in the known values, and let "t" represent the time needed:

60 · t = 360

Solve:

60t/60 = 360/60

t = 6 hours.

Answer:

x=5  

Step-by-step explanation:

3 times 5= 15

15+21= 36

8 times 5 = 40

40-4=36

Answer:

B. Technological advancement in new discoveries in health care

Hope this helps :)

Answer:

B

Step-by-step explanation:

ed2020

Answer:

4 / 9

Step-by-step explanation:

There are 4 reds out of 9 so the probability would be 4 out of 9 or 4 / 9.

Answer:

None

Step-by-step explanation:

Notice how it says red pens, not red marbles. There is no red pen

Answer:

P(t) = 258( 1 + 6%)^t

Step-by-step explanation:

Given that the  population of caribou in a forest grows at a rate of 6% every year. If there are currently 258 caribou, the function representing the number of caribou in the forest in t years will be

P(t) = 258( 1 + 6%)^t

Since it is increasing, it will be 1 + 6%

Where P(t) is the function representing the population after t years.

258 is the current or initial population.

Answer:

the third one

Step-by-step explanation:

46 is the common number of p and q

the sign ∩ means the intersections of 2 sets

Answer:

0.06944444444 as a fraction equals 6944444444/100000000000

Answer:

700,000 is 1000 times as much as 700

Step-by-step explanation:

700,000 divided by 700 is 1000

Answer:

The answer wouldn't be 100 but it would be 1000

Hoped I helped

y = -2|x +1|

→ |x + 1| = -y/2

→ x+1 = y/2

and

x + 1 = -y/2

→ x + 1 belongs to R

→ x belongs to R

Domain = R

Range = y = -2(R)

→( -∞ , 0)

Step-by-step explanation:

x + y = 16 (*)

x^2 + y^2 = 146 (**)

(*) <=> x= 16-y

substitute x = 16 - y

(**) <=> (16-y)^2 + y^2 = 146

<=> y^2 - 2.16.y + 16^2 + y^2 = 146

<=> 2y^2 - 32y + 110 = 0

<=> y^2 - 16y + 55 = 0

<=> (y-11)(y-5) = 0

<=> y=11 or y= 5

For y = 11, we have x= 16-11=5

For y=5, we have x= 16-5=11

Answer: (x,y) = (11,5) ; (5,11)

Answer:

350° is ur answer mate...

Answer:

x+15 or 15+x

Step-by-step explanation:

it doesn't really matter since the commutative property.

sum = addition

15 = one term

number x = second term

Answer:

This is a graph problem

Step-by-step explanation:

on a ten by ten graph this is the included file

(sorry for my bad lines, i had to do this with a mouse0

Answer:

  see the attachment for a graph

Step-by-step explanation:

We can't tell what your instructions are. Many graphing tools will let you click on the locations of the points, then draw a line through them. The attached image is from one such tool.

__

If you want to plot this by hand, you do it essentially the same way: plot the two points and draw a line through them.

If you want to write an equation for the line, you can start with the 2-point form:

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

  y = (5 -(-3))/(2 -(-4))(x -(-4)) -3

  y = 8/6(x +4) -3

  y = 4/3x +16/3 -9/3

  y = 4/3x +7/3

__

Personally, about the only thing useful I find in this equation is that it tells you the slope is 4/3. You can determine the same thing by counting grid squares between the plotted points on the graph. The line goes up 8 for each 6 to the right, so slope = rise/run = 8/6 = 4/3.

Answer:

[tex]\huge\boxed{\sf a = \frac{6-3x}{y} }[/tex]

Step-by-step explanation:

3x + ay = 6

Subtracting 3x to both sides

ay = 6 - 3x

Dividing both sides by y

[tex]\sf a = \frac{6-3x}{y}[/tex]

Answer:

23.4

Step-by-step explanation:

because when you multiply 0.78 times 30 you get 23.4