is shown below. Find the value of f(-4)

Answer: x∈(-∞,-2√6-2)U(2√6-2,+∞)

Step-by-step explanation:

[tex]\displaystyle\\y=\frac{1}{4} (x+2)^2-6\\y > 0\\Hence,\\\frac{1}{4}(x+2)^2-6 > 0 \\\\\frac{1}{4}(x+2)^2-6+6 > 0+6\\\\\frac{1}{4}(x+2)^2 > 6\\[/tex]

Multiply both parts of the equation by 4:

[tex](x+2)^2 > 24[/tex]

Extract the square root of both parts of the inequality:

[tex]|x+2| > \sqrt{24} \\|x+2| > \sqrt{4*6} \\|x+2| > 2\sqrt{6}[/tex]

Expand the modulus - we get a set of inequalities:

[tex]\displaystyle\\\left [{{x+2 > 2\sqrt{6}\ \ \ \ (1) } \atop {-(x+2) > 2\sqrt{6} \ \ \ (2)}} \right.\\[/tex]

Multiply both parts of inequality (2) by -1 and reverse the sign of the inequality:

[tex]\displaystyle\\\left [ {{x+2-2 > 2\sqrt{6}-2 } \atop {x+2 < -2\sqrt{6} }} \right. \ \ \ \ \ \left [ {{x > 2\sqrt{6}-2 } \atop {x+2-2 < -2\sqrt{6} -2}} \right. \ \ \ \ \ \left [ {{x > 2\sqrt{6}-2 } \atop {x < -2\sqrt{6}-2 }} \right.[/tex]

Thus,

[tex]x\in(-\infty,-2\sqrt{6}-2)U(2\sqrt{6} -2,+\infty)[/tex]

The linear equation for the area is:

40 = 7*(x + 4)

The solution is x = 1.71 = x

Remember that for a rectangle of length L and width W, the area is:

A = L*W

In this case, we can see that:

W = 7

L = x + 4

A = 70

Replacing that, we can get the linear equation:

40 = 7*(x + 4)

Now we can solve this, we jus need to isolate x.

40/7 = x + 4

40/7 - 4 = x

5.71 - 4 = x

1.71 = x

The solution is x = 1.71 = x

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Answer: 13 cm 34 mm

Step-by-step explanation:

(80 cm 4 mm) * 1 layer/6 layers=

(80 cm 4 mm) * 1/6=

(80 cm 4 mm)/6=

(80 cm+4 mm) * 1/6=

80 cm/6 + 4 mm/6=

80/6 cm + 4/6 mm=

(78+2)/6 cm + 2/3 mm=

78/6 cm + 2/6 cm + 2/3 mm=

13 cm + 2/6 * 1000 mm + 2/3 mm=

13 cm + 1/3 * 1000 mm + 2/3 mm=

13 cm + 1000/3 mm + 2/3 mm=

13 cm+1002/3 mm=13 cm 34 mm

Usando proporciones, los números se dan de la siguiente manera:

a) 1400 personas.

b) 132 personas al dia.

Una proporción es una fracción de una cantidad total, y las medidas se relacionan usando una regla de tres. Debido a esto, se pueden construir relaciones entre variables, ya sea directas (cuando ambas aumentan o ambas disminuyen) o inversamente proporcionales (cuando una aumenta y la otra disminuye, o viceversa), para encontrar las medidas deseadas en el problema, o ecuaciones para encontrar estas medidas.

En este problema, hay que:

Así, la candidad de personas aprendidas cada semana es:

7 x 200 = 1400 personas.

Por año, el número de personas que llega sin ser aprendida es dada por:

365 x 200 - 25000 = 48,000.

Por día, esta cantidad es dada por:

48000/365 = 132 personas al dia.

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Answer: x=30 degrees

Step-by-step explanation:

The lines form two triangles which form a larger triangle.

The larger triangle has two known degree measures which are two 60 degree angles. The missing angle is the sum of the two X's. Triangles add up to 180 degrees.

180=60+60+x+x

180=120+2x

2x+120-120=180-120

2x=60

2x/2=60/2

x=30 degrees

Answer:

30

Step-by-step explanation:

180- (60+60)=60/2

Answer:

a. 7.78%

b.

c. lower

Step-by-step explanation:

Answer:

Charge 26, 78, 130, 182, 234

Step-by-step explanation:

If Heads is (1,3,5,7,9) CHARGE and charge is (26,0,0,0,0) if 1 head=26 then you can just multiply or use repetitive addition if you were to multiply do 3x26=78, 5x26=130, 7x26=182, and 9x26=324. If you were to use repetitive addition do 26+26+26=78, 26+26+26+26+26=130, 26+26+26+26+26+26+26=182, and 26+26+26+26+26+26+26+26+26=234.

I hope it helps!

~XxBells is a cute girlxX~

Answer:

3/1

Step-by-step explanation:

Beginning from 10, you count upward until you come across a point that's directly underneath a number to the x-axis.

In this case, you'd go upward 3 times, locating the y-axis at 30.

Then you would go either left or right and count how many times you do that.

In this case, you'd go right 1 time, locating the x-axis at 10.

Hence, the slope would be rise over run, or y over x.

In this case, the slope would be 30/10.

To simplify that, it would be 3 over 1.

To simplify it even more, it would just be 3.

Hope this helps.

On subtracting 12.82 from 43.3 we get 30.48 as answer.

How to subtract decimal numbers?

Write down decimal numbers such that the number from which you have to subtract is written first and number which you have to subtract from the fist number is written just below it such that the decimal is just lined below another decimal

For example if we have to subtract 4.2 from 12.8

we write it like   1 2 . 8

                         - 0 4 . 2

                        ______

                            0 8 . 6       and the starting from right start subtracting

Given 43.3-12.82

          4 3 . 3 0

     -    1 2 . 8 2

_______________

          3 0  . 4  8    

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The sequence is in geometric series. Common ration= - 1/2, missing number i.e., the 5th term = 4

An arithmetic series is one where each term is equal to the one before it plus some number. Whereas a geometric series is one where each term equals the one before it multiplied by a certain value.

Here the sequence is Geometric series as from the sequence we are getting the common ratio.

Common ratio = [tex]\frac{-32}{64}[/tex] = [tex]\frac{16}{-32}[/tex] = -[tex]\frac{1}{2}[/tex]

Now we have to find the 5th term of the sequence.

We know the formula to find the nth term of the geometric series which is:

[tex]a_{n}[/tex] = a [tex]r^{n-1}[/tex]

[tex]a_{5}[/tex] = 64 [tex](\frac{-1}{2} )^{4}[/tex]

[tex]a_{5}[/tex] = 64/16

   = 4

Therefore the missing number is 4.

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Answer:

Step-by-step explanation:

14+24i-26+3i+110+100i

A-98+137i

5x+30=45

tkae the 30 to the other side and it becomes

5x=45-30

that gives you 15. then you want to divide 5 by 15

and then that gives you 3

x=3

Hope this helps you!

Answer:

D

Step-by-step explanation:

a×10=0.07

a=0.07/10

=0.007

Answer:

D

Step-by-step explanation:

0.007 if you multiply this by 10 you move the decimal one place to the right, t hat would be 0.07

The range of the population standard deviation with a 95% confidence level  = 0.33 ≤ σ ≤ 0.87.

A data distribution's spread is measured by standard deviation. It calculates the average separation between each data point. Whether we consider the data to be a population unto itself or a sample of a larger population affects the formula we use to calculate standard deviation.

Sample data, x: {6.5, 6.6, 6.7, 6.8, 7.1, 7.3, 7.4, 7.7, 7.7, 7.7}

Sample size n = 10

Applying chi-square statistics with df=n-1=9-1=8

now 95% confidence interval is given by:

= [tex]\sqrt{\frac{(n-1) S^2}{\chi_{8,0.025}^2}} < \sigma < \sqrt{\frac{(n-1) S^2}{\chi_{8,0.975}^2}}[/tex]

= [tex]\sqrt{\frac{(9-1) * 0.462^2}{17.53}} < \sigma < \sqrt{\frac{(9-1) * 0.462^2}{2.18}}[/tex]

=  0.107 ≤ σ² ≤ 0.757

= 0.33 ≤ σ ≤ 0.87

The range of the population standard deviation with a 95% confidence level  = 0.33 ≤ σ ≤ 0.87.

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I understand that the question you are looking for is:

The values listed below are waiting times (in minutes) of customers at the Jefferson Valley Bank, where customers enter a single waiting line that feeds three teller windows. Find the sample variance s2 then construct a 95% confidence interval for the population standard deviation σ. Round sample variance to three decimal places. Assume that the population has a normal distribution. Critical values should have three decimal places and confidence interval limits should have two decimal places.

6.5, 6.6, 6.7, 6.8, 7.1, 7.3, 7.4, 7.7, 7.7, 7.7

Answer:

she has 130 crayons 100 crayons divided by 2 = 50 crayons each divide 30 by 2 =15

then she has the four crayons left divide those by 2

If the function is translated 5 units down of the graph of f, the resulting function will be g(x) =. |x|-8

Translation is the technique that is used to change the position of a figure on an xy-plane.

For instance, if the function f(x) is translated k units down the graph, the resulting function will be g(x) = f(x) - k

Given the function f(x)=|x|-3, if the function is translated 5 units down of the graph of f, the resulting function will be;

g(x) = f(x) -  5

g(x) = |x|-3 - 5

g(x) =. |x|-8

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Therefore 1 9/10 bag of mulch is put on each vegetable bed.

Given a gardener spread 3 4/5 bags of mulch evenly over his 2 equal-sized vegetable beds.

We need to find how much he put on each vegetable bed as

Let the number of bags of mulch put on each vegetable bed be x

∴ 2 * x =  3 4/5

2 x = 19 / 5

x = 19 / 10

x = 1 9/10 bag

Therefore 1 9/10 bag of mulch is put on each vegetable bed.

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The given quadratic polynomial function f(x) = 2x² - 4x - 6 has the vertex at (1, -8). Thus, the correct option is option C.

A quadratic polynomial function is a function which may be written in the form of ax² + bx + c = 0 where a, b and c are coefficients and x is the variable of the function. The quadratic polynomial function forms a parabola when plotted on the graph.

To find the vertex to the quadratic polynomial function we determine the value of x coordinate by the formula (-b/2a) and substitute the value of x in the polynomial function to get the value of y coordinate.

f(x) = 2x² - 4x - 6.

x coordinate = (-b/2a)

x = (4/2×2)

x = 4/4

x = 1

Now, the value of y coordinate = 2(1)² - 4(1) - 6

y = -8.

Thus, the given quadratic polynomial function f(x) = 2x² - 4x - 6 has the vertex at (1, -8).

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The value of the division (6×1011)÷(3×1015) is the negative 4 power 2×10.

When 'a' is divided by 'b', then the result we get from the division is the part of 'a' that each one of 'b' items will get.

Division can be interpreted as an equally dividing the number that is being divided in total x parts, where x is the number of parts the given number is divided.

Thus,  [tex]a \div b[/tex] = a divided in b equal parts.

WE have been given that (6×10^11)÷(3×10^15) .

Simplify;

(6×10^11)÷(3×10^15)

To solve the exponent first;

10^11 - 15 = 10^-4

Now we get;

(6 )÷(3×10^-4)

2 ×10^4 = 2 ×10 ×10×10×10

= 20,000

Hence, the value of the division (6×1011)÷(3×1015) is the negative 4 power 2×10.

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Answer:

(0,5)

Step-by-step explanation:

Step-by-step explanation:

you can ask questions for clarification

With regard to all the different sources of caffeine, it really is estimated that 80 percent of Americans frequently consume caffeine in some way, with an average daily intake of 200–250 mg.

A methylxanthine class stimulant, caffeine stimulates the central nervous system. It is employed as a cognitive enhancer to improve alertness and attentional function. In order to increase the release of the neurotransmitters acetylcholine, caffeine works by preventing adenosine from binding to the adenosine A1 receptor.

Because caffeine is a stimulant, it makes your nervous system and brain work harder. Additionally, it causes a greater flow of hormones like cortisol and adrenaline throughout the body. Caffeine can help you feel energized and alert in small doses.

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I understand that the question you are looking for is:

Considering all the various sources of caffeine, it is estimated that 80 percent of Americans regularly use caffeine in some form, and that the average intake is ______ per day.

Step-by-step explanation:

39× 99

= -39×(100 - 1)

= (-39×100) - (-39 × 1)

= -3900 + 39

= -3861

Answer:

-3751

Step-by-step explanation:

you multiple times to the /number

Answer:

8

Step-by-step explanation:

The biggest common factor number is the GCF number. So the Greatest Common Factor 16, 24, 48 is 8.

please make my answer as brainelist

Step-by-step explanation:

1. Cloud of Dust and gas

2. solar system formation

3. spinning disc

4. early solar system today

The domain of the function f (x) = x2 + 6x + 5 over the function g(x) = x3 + x2 − 4x − 4 is {x ∈ ℝ| x ≠ −1, −2, 2}.

The main limiting issue with the domain this function is potentially picking an x-value that makes that denominator equal 0, because dividing by 0 is bad.

So, the domain will be all real numbers, except for those that make g(x)=0.

g(-1) = 0, g(-2)=0, and g(2) = 0, so -1, -2, and 2 must be excluded from the domain.

Your answer is {x ∈ ℝ| x ≠ −1, −2, 2}.

Therefore, we get that, the domain of the function f (x) = x2 + 6x + 5 over the function g(x) = x3 + x2 − 4x − 4 is {x ∈ ℝ| x ≠ −1, −2, 2}.

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Your question was incomplete. Please refer the content below:

Given f (x) = x2 + 6x + 5 and g(x) = x3 + x2 − 4x − 4, find the domain of f over g of x period

{x ∈ ℝ}

{x ∈ ℝ| x ≠ −5}

{x ∈ ℝ| x ≠ −1, −2, 2}

{x ∈ ℝ| x ≠ −2, 2}

Answer:

All of the given ordered pairs are correct\included.

Step-by-step explanation: