Evaluate the function graphically. Find (-6)

Answer:

Step-by-step explanation:

4-3(6)-1

= 4 - 18 - 1

= 4 - 19

= -15 (Ans)

Solution :

Faulty electrical connects = P(A) = 0.80

Mechanical defects = P(B) = 0.92

Mechanical defects are related to loose keys = P(C/B) = 0.27

Improper assembly = P(D/B) = 0.73

Defective wires  = P(E/A) = 0.35

Improper connections = P(F/A) = 0.13

Poorly welded wires = P(G/A) = 0.52

Now, the probability due to loose keys = 0.27 x 0.92 = 0.2484

Improperly connected = 0.13 x 0.80 = 0.1040

Poorly welded wires = 0.52 x 0.80 = 0.4160

So, the probability that a failure is due to improperly connected or poorly welded wires = 0.1040 + 0.4160

                       = 0.5200

Answer: the required principal value is $7,719.30

Step-by-step explanation:

Given: Formula to calculate interest : I= Prt, P=principal value, r = rate of interest, t = time.

I = $11,000

r= 9.5% = 0.095

t= 15 years

Substitute in formula, we get

[tex]11000=(P)\times (0.095)\times(15)\\\\\Righatrrow\ P=\dfrac{11000}{0.095\times15}\approx\$7719.30[/tex]

Hence, the required principal value is $7,719.30

Answer:

2a : f(-2) = 15

2b : f(2x) = 8x² - 2x + 5

2c : f(x-1) = 2x² - 5x + 8

3a : x > 1/3

3b : x <> {2,3}

4 : 6x

Step-by-step explanation:

2a.

2×(-2)² - (-2) + 5 = 2×4 + 2 + 5 = 15

2b.

2×(2x)² - 2x + 5 = 2×4x² - 2x + 5 = 8x² - 2x + 5

2c.

2×(x-1)² - (x-1) + 5 = 2×(x² - 2x + 1) - x + 1 + 5 =

= 2x² - 4x + 2 - x + 1 + 5 = 2x² - 5x + 8

3a.

the square root is not defined for negative values, which would happen for any x < 1/3. and for x=1/3 the expression would be a division by 0, which is also undefined.

so, all that is left is x>1/3.

3b.

we must avoid a division by 0. everything else is well defined.

so, when is that expression x² - 5x + 6 = 0 ?

solution for a quadratic equation is

x = (-b ± sqrt(b² - 4ac))/2a

a = 1

b = -5

c = 6

x = (5 ± sqrt(25 - 24))/2 = (5 ± sqrt(1))/2 = (5 ± 1)/2

x1 = (5+1)/2 = 6/2 = 3

x2 = (5-1)/2 = 4/2 = 2

so, these values must be avoided for x. everything else is valid.

4.

(f(x+h) - f(x))/h

for h going to 0.

f(x) = 3x² - 5

f(x+h) = 3×(x+h)² - 5

f(x+h) - f(x) = 3×(x² + 2hx + h²) -5 - 3x² + 5 =

= 3x² + 6hx + 3h² - 3x² = 6hx + 3h²

=>

(f(x+h) - f(x))/h = (6hx + 3h²)/h = 6x + 3h = for h 0 = 6x

Answer:

10 × 5 - (- 6)² + (- 8) = 6

(- 5)² × 3 ÷ 5 + 9 = 24

(10 ÷ (- 5) - (- 2)) × (- 3)³ = 0

4 × (- 6) ÷ 8 + 3³ = 24

(- 5)² - 2 × (- 9) + 6 = 49

3 × 10 + 8 - 4² = 22

(- 9) - (- 8) + 2 × 4² = 31

(- 3)³ - 2 + 8 ÷ (- 8) = - 30

8 ÷ (- 4) × (- 6)² + 7 = - 65

4 × (- 8) + 6 - (- 2)³ = - 18

Step-by-step explanation:

10 × 5 - (- 6)² + (- 8)

10 × 5 - 36 - 8

10 × 5 - 36 - 8

50 - 36 - 8

50 - 44

6

(- 5)² × 3 ÷ 5 + 9

25 × 3 ÷ 5 + 9

75 ÷ 5 + 9

15 + 9

24

(10 ÷ (- 5) - (- 2)) × (- 3)³

(10 ÷ (- 5) - (- 2)) × - 27

(10 ÷ - 5 + 2) × - 27

(- 2 + 2) × - 27

0 × - 27

0

4 × (- 6) ÷ 8 + 3³

4 × (- 6) ÷ 8 + 27

- 24 ÷ 8 + 27

- 3 + 27

24

(- 5)² - 2 × (- 9) + 6

25 - 2 × - 9 + 6

25 + 18 + 6

49

3 × 10 + 8 - 4²

3 × 10 + 8 - 16

30 + 8 - 16

30 - 8

22

(- 9) - (- 8) + 2 × 4²

(- 9) - (- 8) + 2 × 16

- 9 + 8 + 2 × 16

- 9 + 8 + 32

32 - 1

31

(- 3)³ - 2 + 8 ÷ (- 8)

- 27 - 2 + 8 ÷ - 8

- 27 - 2 - 1

- 27 - 3

- 30

8 ÷ (- 4) × (- 6)² + 7

8 ÷ (- 4) × 36 + 7

- 2 × 36 + 7

- 72 + 7

- 65

4 × (- 8) + 6 - (- 2)³

4 × (- 8) + 6 - (- 8)

- 32 + 6 + 8

- 32 + 14

- 18

[tex]10 x 5-(-6)^2 +(-8)\\10x5-36+(-8)\\50-36+(-8)\\50-28\\22[/tex]

[tex](-5)^2[/tex]x3÷5+9

25x3÷5+9

75÷5+9

15+9

24

(10÷(-5)-(-2))x(-3)³

((-2)-(-2))x(-3)³

0x(-3)³

0x(-27)

0

4x(-6)÷8+3³

4x(-6)÷8+27

(-24)÷8+27

(-3)+27

24

(-5)²-2x(-9)+6

25-2x(-9)+6

25+18+6

43+6

49

3x10+8-4²

3x10+8-16

30+8-16

38-16

22

(-9)-(-8)+2x4²

(-9)-(-8)+2x16

(-9)-(-8)+32

(-9)-24

(-33)

(-3)³-2+8÷(-8)

(-27)-2+8÷(-8)

(-27-2+(-1)

(-27)-1

(-28)

8÷(-4)x(-6)²+7

8÷(-4)x(-36)+7

8÷144+7

0.055+7

7.055

4x(-8)+6-(-2)³

4x(-8)+6-8

(-32)+6-8

(-26)-8

(-34)

I hope this will help you. ^^

Answer:.

75(b - 4) = 450

Step-by-step explanation:

Given that :

Total amount to spend on books = 450

Total number of books = b

Cost per book = 75

Number of free books = 4

Hence, the number of books sabah will have to pay for will be :

Total Number of books - number of free books

b - 4

Cost of books purchased will be ;

Cost per book * number of books ;

75 * (b - 4)

Total cost = 450

Hence, we have ;

75(b - 4) = 450

Answer:

look at pic

Step-by-step explanation:

Answer:

Yes, 3 quarts is more than 3 pints

Step-by-step explanation:

2 pints make up 1 quart

Answer:

Rs 15500

Step-by-step explanation:

x = previous salary

0.20x + x = 18600

      1.20x = 18600

     /1.20      /1.20

             x = 15500

Answer:

9) both of them are in cups measurements, plus they are both ingredients you can use to bake something.

10) both are fruits, both are a similar size.

11) both are animals, though the "41 animals" isn't specified to which animal they are.

12) both are blocks

13) both are cars, both have colors

14) both are types of people with different types of hair colors

Answer:

21x^3-32x^2+9x+2

Step-by-step explanation:

(3x²- 5x + 2)(7x + 1)

Distribute

7x* (3x²- 5x + 2) + 1 *(3x²- 5x + 2)

21 x^3 -35x^2 +14x + (3x²- 5x + 2)

Combine like terms

21x^3-32x^2+9x+2

Answer:

D. 21x³- 32x²+ 9x + 2

Step-by-step explanation:

( 3 x²- 5 x + 2 ) ( 7 x + 1 )

Using distributive property

7 x ( 3 x²- 5 x + 2 ) + 1 ( 3 x²- 5 x + 2 )

multiply,

21 x ³ - 35 x² + 14 x + 3 x² - 5 x + 2

arranging like terms together

21 x³ - 35 x² + 3 x² + 14 x - 5 x + 2

21 x ³ - 32 x² + 9 x + 2

Answer:

The population standard deviation is 1.92.

Step-by-step explanation:

Population mean:

Sum of all values divided by the number of values. Thus:

[tex]M = \frac{2 + 3 + 5 + 7}{4} = 4.25[/tex]

Population standard deviation:

Square root of the division between the sum of the difference squared of each value and the mean, and the number of values. Thus.

[tex]S = \sqrt{\frac{(2-4.25)^2 + (3-4.25)^2 + (5-4.25)^2 + (7-4.25)^2}{4}} = 1.92[/tex]

The population standard deviation is 1.92.

Answer:

option A

is the correct answer

Step-by-step explanation:

Wet grass forms a circular region of radius r=7 m.

∴ Length of the outer edge of wet grass(Perimeter) =2πr=2×

7

22

×7 m=44 m.

Answer:

51/8

Step-by-step explanation:

LCM of 8, 4 and 2 = 8

7/4*2=14/8

3/2*4=12/8

15/8+14/8+12/8=41/8 So Jerry played 41/8 or you can say 4 1/8 hours with his friends

Answer:

[tex]5\frac{1}{8}[/tex] hours

Step-by-step explanation:

First find the common denominator for all numbers.

The common denominator for all of those numbers will be 8.

[tex]1\frac{3}{4}=1\frac{6}{8}[/tex]

[tex]\frac{3}{2}[/tex]         The fraction is improper so we must simplify it!

[tex]1\frac{1}{2}[/tex]       Then convert it to a mixed number having a common denominator of 8!

[tex]1\frac{1}{2} =1\frac{4}{8}[/tex]  

Final Results: [tex]1\frac{6}{8} + 1\frac{4}{8} +1\frac{7}{8} =5\frac{1}{8}[/tex]

Final Answer: [tex]5\frac{1}{8}[/tex]

Answer:

divide the speed value by 3600

according to the most used browser by the name of g

Step-by-step explanation:

Answer and explanation:

A. profit P as a function of x, the number of tickets sold

P(x)= total revenue - total cost

For 40000 tickets at $4

=40000×4-0.10×40000+$95000

=$160000-$99000

=$61000

For 35000 tickets at $5

= 35000×$5-0.10×35000+$95000

= $175000-$98500

= $76500

B. P has a downward slope like a demand curve. Increase in price equal to decrease in profit.

C. P(40000)= $4-$0.10+$95000/40000

= $4-$2.475

= $1.525

Price for 20000 tickets was not stated in question but feel free to use an arbitrary price(price should be higher than that for 35000 tickets and 40000 tickets)

Answer:

Step-by-step explanation:

6)   Statement                      Reasons

      ∠W = ∠Q                      Given

      WX = QX                      Given

     ∠1 = ∠2                          Vertically opposite angles

    ΔPXW ≅ ΔMXQ             A S A  congruent  (Angle side Angle)

7)    ∠1 = ∠4                          Given

     FH = HF                         Reflexive property

     ∠2  = ∠3                        Given

   ΔFGH ≅ ΔHEF               A S A  congruent  (Angle side Angle)

Answer:

y = -1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

Identify

-4(y - 2) = 12

Step 2: Solve for y

Answer:

-4y+8=12

-4y=12-8

-4y=4

y=-1

Answer:

it's a

Step-by-step explanation:

He lost 50 lbs over a 5 moth period

Answer:

Look below

Step-by-step explanation:

1: 19

2: 34

3: 63

4: 8

5: 52

6: 81

7: 4

8: 39

9: 18

Hope this helped :)

Answer:

39.279 grams

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

- Use the distributive property to get 4c-12=8

-Divide both sides by 4 to get c-3 = 2

Step-by-step explanation:

- Use the distributive property to get 4c-12=8

[tex]4(c - 3) = 8 \\ 4 \times c - 4 \times 3 = 8 \\ 4c - 12 = 8[/tex]

Answer:4c-12=8

Step-by-step explanation:

4(c-3)=8

4xc-4x3=8

4c-12=8

The slope should be -1/2, because the line goes down 1 unit and then right 2 units.

Also it would be y = -1/2x+1 in y=mx+b.

Answer:

a. 2

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

Standard deviation is known to be 14.

This means that [tex]\sigma = 14[/tex]

Sample of 49

This means that [tex]n = 49[/tex]

The standard error of the mean is

[tex]s = \frac{\sigma}{\sqrt{n}} = \frac{14}{\sqrt{49}} = \frac{14}{7} = 2[/tex]

So the correct answer is given by option a.

Answer:

ok

Step-by-step explanation:

please mark me brainleast

Answer:

Step-by-step explanation:

25+125+(-5x)=180 degree (sum of the interior angles of a triangle is 180 degree)

150-5x=180

-5x=180-150

x=30/-5

x=-6

Answer:

your answer is 12

I've answered it before and got it right

Answer:

Hello! answer: 3

Step-by-step explanation:

Perfect circles are 360 degrees

120 × 3 = 360 therefore the answer would be 3 Hope that helps!