From the graph, which statement is correct if x^2 – 13x + 22 ≤ 0?

A) 2 ≤ x ≤ 11
B) –11 ≤ x ≤ –2
C) x ≤ 2 or x ≥ 11
D) x ≥ 2 or x ≤ 11

please only reply if you know the answer!!

Answer:

Below in bold.

Step-by-step explanation:

3x + y = -1

2x + y=0

Subtract to eliminate y:

3x - 2x + y - y = -1 - 0

x = -1

So, substituting for x in the first equation;

3(-1) + y = -1

y - 3 = -1

y = 2.

The solution is the ordered pair (-1, 2).

The system is a pair of straight lines which intersect at the point (-1, 2).

The population of the town be in 2010 will be 121634, and it will take 21 years for the population to get to 50000

The population model is given as:

[tex]P(x) = 3485e^{0.125x}[/tex]

(a) The population in 2010

In 2010, the value of x is 10.

So, we have:

[tex]P(10) = 3485 * e^{(0.125 \times 10)}[/tex]

Evaluate the exponent

[tex]P(10) = 3485 * e^{(1.25)}[/tex]

This gives

[tex]P(10) = 121634[/tex]

(b) Year to reach 50000

This means that P = 50000.

So, we have:

[tex]50000 = 3485e^{0.125x}[/tex]

Divide both sides of the equation by 3485

[tex]14.35 = e^{0.125x}[/tex]

Take natural logarithm of both sides

[tex]\ln(14.35) =0.125x[/tex]

[tex]2.66 =0.125x[/tex]

Divide both sides by 0.125

[tex]21.28 = x[/tex]

Rewrite as:

[tex]x =21.28[/tex]

Approximate

[tex]x =21[/tex]

Hence, the population of the town be in 2010 will be 121634, and it will take 21 years for the population to get to 50000

Read more about population models at:

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Answer:

[tex]80+25x\geq 300[/tex]

Step-by-step explanation:

Since she already has 80$ in the account it will be the starting point.

To those 80$ she adds 25$/w.

Since the amount of week is what needs to be determined we'll refer to it as x.

So far we have 80 + 25x.

Now since she only wants to withdraw once she has at least 300$, it means that the amount has to be either equal to 300 or more than 300.

Which gives us [tex]80+25x\geq 300[/tex]

Answer:

Price of book is [tex]9\$[/tex]

Step-by-step explanation:

Let the price of book be [tex]x[/tex] and price of magazine be [tex]y[/tex]

We have

[tex]2x=3y[/tex]

We also have

[tex]4x+4y=60[/tex]

[tex]2\times 2x+4y=60\\\\2\times3y+4y=60\\\\10y=60\\\\y=6\\\\2x=3\times6\\\\x=9\$[/tex]

Price of book is [tex]9\$[/tex]

Answer:

the answer is : 180° - (61° +61°) = 58°

Answer: 14

the answer is 14

Answer: 14

Step-by-step explanation: LCMof 2 and 7 is the smallest number among all common multiples of 2 and 7. The first few multiples of 2 and 7 are (2, 4, 6, 8, 10, 12, 14, . . . ) and (7, 14, 21, 28, 35, 42, 49, . . . ) respectively.

the first several multiples of 5 are: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50 the first several multiples of 6 are 6: 12, 18, 24, 30, 36, 42, 48, 54, 60

Answer:

389

Step-by-step explanation:

MARK BRAINLIEST PLEASE

Answer:12 accorns

Step-by-step explanation:

If they each hid the same number of acorns, although the squirrel needed 4 fewer holes, the chipmunk hid 3 acorns in each hole

Let's assume the number of holes the chipmunk dug is 'c', and the number of acorns it hid in each hole is 'x'. Similarly, let's assume the number of holes the squirrel dug is 's', and the number of acorns it hid in each hole is 'y'.

According to the information provided, the chipmunk hid 3 acorns in each of the holes it dug, so x = 3. The squirrel hid 4 acorns in each of the holes it dug, so y = 4.

Both the chipmunk and squirrel hid the same number of acorns, so cx = sy.

Also, the squirrel needed 4 fewer holes, so s = c - 4.

Now, we can use the information to set up a system of equations:

cx = sy

c - 4 = s

Substitute the value of s from the second equation into the first equation:

c(c - 4) = 3(c - 4)

Expand the equation:

c² - 4c = 3c - 12

Now, bring all terms to one side of the equation:

c² - 4c - 3c + 12 = 0

Combine like terms:

c² - 7c + 12 = 0

Now, factor the quadratic equation:

(c - 3)(c - 4) = 0

Now, set each factor to zero and solve for 'c':

c - 3 = 0 => c = 3

c - 4 = 0 => c = 4

Since the chipmunk hid 3 acorns in each hole, the correct answer is The chipmunk hid 3 acorns.

To learn more about equations click on,

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Answer:

Step-by-step explanation:

opposite angles = equal angles

so

106 = 6s - 8

114 = 6s

s = 114 : 6

s = 19°

--------------- check

106 = 6 * 19 - 8

106 = 106

the answer is good

Answer:

Yes

Step-by-step explanation:

( 9 , -6 )

17(9) + 12(-6) > 19

153 + (-72) > 19

81 > 19

10(9) + 5(-6) > -13

90 + (-30) > -13

60 > -13

Answer: The answer is Iπ + √17|.

Answer:

I think is there answer is 26.606

Answer:

C

Step-by-step explanation:

[tex]a_{1}=-3\\a_{2}=(-3)(-4)-1=12-1=11\\a_{3}=11(-4)-1=-44-1=-45\\a_{4}=-45(-4)-1=180-1=179\\................................................\\[/tex]

Answer: Choice A)   -3, 11, -45, 179, ...

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

Explanation:

1st term = -3

new term = -4*(previous term) - 1

2nd term = -4*(1st term) - 1

2nd term = -4*(-3) - 1

2nd term = 12 - 1

2nd term = 11

The answer is between choice A and C since both involve "-3, 11" as the first two terms in that order. The only difference between A and C are the outer surrounding curly braces. These braces tell the reader that we have a set of numbers.

When it comes to a set, the order does not matter. Something like {1,2,3} is identical to {3,2,1}. Because of this, we rule out choice C.

On the other hand, order does matter in a sequence. The sequence 1,2,3 is different from 3,2,1.

Answer:

Being financially literate helps a person to distinguish between financial decisions that will be beneficial, and that will be detrimental to their financial future. Having a plan for your finances will help you meet your short and long-term needs, without going beyond your income

Step-by-step explanation:

Ppbags where here

Answer:

.71

Step-by-step explanation:

Answer:

B. 0.70

Step-by-step explanation:

Just divide the total amount of money by the total amount of people.

5/7=0.71428...

if you round up correctly, you get 0.70; thus, it is B.

Also, his is for he, mom is a she, so use her instead of his...

Answer:

8

Step-by-step explanation:

sqrt((x-1)/2)^2))=3.5

square root and squared cancel out

(x-1)/2 = 3.5

x-1 = 7

x = 8

To find the hypotenuse of any right triangle, you need to square and add the other two sides. We call those two sides LEGS.

(legs)^2 + (leg)^2 = (hypotenuse)^2

In your textbook, you will see it this way:

a^2 + b^2 = c^2, where a = b = legs.

Answer:

You can use Sin to solve that problem in it you should have Angle=theeta and perpendicular.

Step-by-step explanation:

First you should have Perpendicula and Then Angle Put That info in Sinɵ = perpendicular/base. Solve it and get your Answer

Answer:

4.666666667 or 4.6_ (repeating decimal)

Answer:

5.96 x 36 = 214.56.

286.08 - 214.56 = 71.52

71.52 divided by 8.94 = 8.

He worked 8 additional hours.

Answer:

The worker worked about 8 hours overtime.

Step-by-step

First we figure out how much they made without overtime.

Multiply 5.96 x 36 and you would get 214.56

Then we figure out how many hours he worked overtime

Multiply 8.94 times 8 and you would get 71.52

Then take 214.56 and add 71.52, you would get 286.08, the answer is 8 hours overtime.

Answer:

   6.70

+26.87

 33.57

Step-by-step explanation:

Couldn't explain sorry

-hope it helps

Answer:

Step-by-step explanation:

Rational number ,because it can be written as 37 which is a ratio

Hey there!

√144

= 12^2

= 12 * 12

= 144

Therefore, your answer should be: 12

Side note: There’s many ways to find the result of the square root but I just made it “easier” to solve and tackle future problems like this on your own.

Anyways

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

42= x/6

Step-by-step explanation:

Quotient means the answer of a division problem

sense we don’t know the ”number” in this situation it will be seen as a variable or x

x / 6 = 42

to find x we just do 42/6 to get 7

x=7

Answer:

Flour used to make 9 pizzas = 5[tex]\frac{5}{8}[/tex] × [tex]\frac{3}{5}[/tex]

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

Flour used for each pizza = 3[tex]\frac{3}{8}[/tex] ÷ 9

                                           = 3[tex]\frac{3}{8}[/tex] × [tex]\frac{1}{9}[/tex] (reciprocal of 9)

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

The amount of flour used for each mini pizza is [tex]\frac{3}{8}[/tex] kg.