3f + -4 = 0 solve for f

The equation of the line that passes through (3, 1) and (1,2) in slope intercept form is y = - 2 / 2 x + 5 / 2.

The equation of a line can be represented in different form such as slope intercept form, point slope form, standard form and general form.

Therefore, let's write the equation of a line that passes through (3, 1) and (1, 2).

using slope intercept form,

y = mx + b

where

Therefore, let's find slope

m = 2 - 1 / 1 - 3

m = 1 / - 2

m = - 1 / 2

Let's find y-intercept using (1, 2)

2 = - 1 / 2(1) + b

b = 2 + 1 / 2

b = 5 / 2

Therefore, the equation is y = - 2 / 2 x + 5 / 2

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The probability that the sample proportion of a large shipment of stereos will differ from the population proportion by more than 6% is 0.0063

The probability is calculated using z score, this is used to determine the amount of standard deviations a sample, X is from the mean

The z score is given by the formula

z = (X - μ) / σ

Definition of variables

mean, μ  = p = 18% = 0.18

sample size, n = 306

standard deviation, σ

= √{(p(1 - p)) / n}

= √{(0.18(1 - 0.18)) / 306}

= √{(0.18 * 0.82) / 306}

= 0.02196

The probability

differ from the population proportion by less than 3%

|X - 0.18| > 0.06

X < 0.12 OR X > 0.24

P(z < 0.12) + P(z > 0.24 )

z score for z < 0.06

z = (0.12 - 0.18) / 0.02196

= -2.7322

p value for z < -2.7322 = 0.003146

z score for z > 0.06

z = (0.24 - 0.18) / 0.02196

= 2.7322

p value for z > 2.7322 = 1 - 0.99685 = 0.003146

The probability required = 0.003146 + 0.003146 = 0.006292 = 0.63%

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Answer:

no

Step-by-step explanation:

because Kira ordered 5 pieces of crab while Marcy has ordered 6 pieces of crab

The fraction is equivalent to the [tex]\sqrt{x+2}-\sqrt{x}[/tex].

The correct option is (C).

Given,

The fraction is given as:

[tex]\frac{2}{\sqrt{x} -\sqrt{x+2} }[/tex]

To find the above fraction which choice is equivalent to the fraction?

Now, According to the question:

Simplify or expand

[tex]\frac{2}{\sqrt{x} -\sqrt{x+2} }[/tex]

Rationalize the denominator:

[tex]\frac{2(\sqrt{x} -\sqrt{x+2} )}{(\sqrt{x} -\sqrt{x+2})(\sqrt{x} -\sqrt{x+2} ) }[/tex]

Expand the expression:

[tex]\frac{2(\sqrt{x} +\sqrt{x+2} )}{(\sqrt{x})^2-(\sqrt{x+2} )^2 }[/tex]

[tex]\frac{2(\sqrt{x} +\sqrt{x+2} )}{x-(x+2)}[/tex]

[tex]\frac{2(\sqrt{x} +\sqrt{x+2} )}{-2}[/tex]

Determine the sign and cross out the common factor:

[tex]\sqrt{x+2}-\sqrt{x}[/tex]

Hence, The fraction is equivalent to the [tex]\sqrt{x+2}-\sqrt{x}[/tex].

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Answer: $323,050

Step-by-step explanation:

355,000 over 1 x 9 over 100 = 3195000 over 100 (31950)

355,000- 31,950 = 323,050 which is your answer, hope this helped <3

Answer:

50 miles per hour

Step-by-step explanation:

80 km         1 mi        

---------- x ------------ = 50 mi/hr

  1 hr         1.6 km

Answer: daniel and sarah will deposit the same amount

Answer:

No entendí porfavor puedes ponerlo en Español

Answer:

6

Step-by-step explanation:

the answer is 6

The probability of tossing a six-sided die with sides numbered 1 through 6 and getting a 5 is 0.166666 or 1/6.

Here in the question, we see that a six-sided die is tossed. So there will be a total of 6 outcomes.

So the sample space will be {1,2,3,4,5,6}

Of which the possible outcome of getting a 5 is 1

Let A be the event of getting a 5 on tossing a six-sided die

∴ the probability of getting a 5 on tossing a six-sided die is P(A)=1/6

∵ we know that the probability of an event is the possible outcome of the event divided by the total outcomes of that event.

So here the probability of getting a 5 is 0.166666 or 1/6.

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Answer: 16

Step-by-step explanation:

Imagine you had 4 apples and someone gave you 12 more. You would have 16 apples.

Answer:

heyyyyyyyyyyyyyyyyyyyyyyyy

Answer:

find the increased dollar amount by finding the percentage amount first:

$ 39,400 * .13

= $ 5,122

then take $ 5,122 and add it to the original price

$ 39,400 + $ 5,122 = $ 44,522 (new price)

Step-by-step explanation:

The equation that represents the length of the candle over time will be b = -0.25t.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

A 2 ¹/₂ inches candle torches in 10 hours.

Let 'b' be the length of the candle and 't' be the number of hours. Then the equation is given as,

b = -[(2 ¹/₂) / (10)]t

b = -0.25t

The equation that represents the length of the candle over time will be b = -0.25t.

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The cost per mile incurred by Ernest Dorsey for driving the sports coupe for last year was $0.41.

The cost per mile is the quotient of the division operation involving the total cost incurred and the driving mileage for the year.

To derive the total cost, add up the value of the car consumed (cost - current value), the annual variable, and fixed costs.

Cost of a used sports coupe last year = $8,000

The current value of the car = $6,000

Used value for the year = $2,000.00 ($8,000 - $2,000)

Gasoline               $1,589.56

Oil changes            $245.98

Repairs                     $548.11  $2,383.65

Insurance             $1,105.32

License                    $85.00    $1,190.32

Total cost for the year =        $5,573.97

Driven mileage for the year = 13,569 miles

Cost per mile = $0.41 ($5,573.97/13,569)

Thus, the cost per mile is $0.41.

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The prime factorization of 48 is  2⁴  ×  3.

Those greater than one are known as prime numbers. They simply have two variables: the number itself and factor 1. This indicates that these numbers cannot be divided without leaving a remainder by any number other than 1 and the number itself.

Given:

The number is 48,

Factorize 48 we get 2 × 2  × 2  × 2 × 3

= 2⁴  ×  3

Therefore, the prime factorization of 48 is  2⁴  ×  3.

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Answer:

??

Step-by-step explanation:

where are the equations ?

Answer:

Step-by-step explanation:

The value of the solution of division is 115 with the remainder 11.

We have to give that,

1311 divided by 20.

Now, using long division as,

1311 divided by 20.

20 ) 2311 ( 115

    - 20

     ------------

        31

       - 20

        ------

           111

         - 100

          --------

              11

Hence, the solution of division is, 115 with the remainder 11

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The ratio shows how many times one value is contained in another value.

8 bags of chips = $12

1 bag of chips = $1.5

The unit price of a bag of chips is $1.5

The ratio shows how many times one value is contained in another value.

Example:

There are 3 apples and 2 oranges in a basket.

The ratio of apples to oranges is 3:2 or 3/2.

There are 4 black and 3 white marbles in a bag.

The ratio of black and white marbles in the bag is 4:3.

We have,

8 bags of chips = $12

Divide both sides by 8.

1 bag of chips = $12/8

1 bag of chips = $3/2

1 bag of chips = $1.5

This means,

1 bag of chips costs $1.5

Thus,

The unit price of a bag of chips is $1.5

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The value of p is 10 and the angles of the triangles are 53°, 90°, 37°.

Given that,

In the picture there is a triangle with angles 53°, 8p+10°, 2p+17°.

We have to find the p value and each of the angles also.

While the exterior angles of a triangle are equal to the sum of the two interior angles that are not adjacent to it, the interior angles of a triangle always add up to 180°. By deducting the angle of the target vertex from 180°, one can also determine a triangle's exterior angle.

Take the angles ,

180 degrees is the sum of the angles in an triangle.

53°+ 8p+10°+ 2p+17°=180°

10p+80°=180°

10p=180°-80°

10p=100°

p=100/10

p=10°

The value of p=10.

The angles of the triangles are:

53°

8p+10=8(10)+10=80+10=90°

2p+17=2(10)+17=20+17=37°

Therefore, The value of p is 10 and the angles of the triangles are 53°, 90°, 37°.

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Answer:

The y-intercept is the point where the graph ( line or curve ) intercepts the y-axis. The y-intercept is the y value of the point, ( x, y ).

Hope this helps!

Step-by-step explanation:

Answer:

  a = -5/11

Step-by-step explanation:

You want to solve the equation -1/4-a-4=7/4a-3.

The first step in solving this 3-step equation can be to add the opposite of (-a) so that the variable 'a' appears only on one side of the equation:

  -1/4 -a -4 +a = 7/4a -3 +a

  -17/4 = 11/4a -3 . . . . . . . . . . . simplify

The second step is to add the opposite of the constant (-3) so that the constant is on one side of the equation, and the variable is on the other side.

  -17/4 +3 = 11/4a -3 +3

  -5/4 = 11/4a . . . . . . . . . . simplify

The third step is to multiply by the inverse of the coefficient of the variable:

  (4/11)(-5/4) = (4/11)(11/4a)

  -5/11 = a . . . . . . . . . . . . . . . simplify

  -1/4 -(-5/11) -4 = (7/4)(-5/11) -3

  -17/4 +5/11 = -35/44 -3

  (-187 +20)/44 = (-132 -35)/44

  -167/44 = -167/44 . . . . . . answer checks OK

Answer:

3

Step-by-step explanation:

y-intercept = b

The slope-intercept = y=mx+b

y=-2/5x+3

m=-2/5

b=3

If the equation was something like y=-2x-3, then the b would be -3 because you are subtracting 3.

Answer: -6

Step-by-step explanation:

The ratio of snakes to frogs is 1 : 2.

The ratio of frogs to animals is 2 : 3.

If 3 more snakes are added, the number of frogs that should be added to keep the ratio constant is 6.

Here are the completed tables:

TVs                   2        4       6

Computers       7       14        21

Trumpets   10       5          20           25

Drums         8         4         16             20

Books      0       40       100

Boxes      0        2        5

Ratio expresses the relationship between two or more numbers. It is the number of times that one value is contained within other value(s).

The ratio of snakes to frogs can be determined by counting the number of snakes and frogs.

Number of snakes = 4

Number of frogs = 8

The ratio of snakes to frogs - 4 : 8 = 1 : 2

The ratio of frogs to animals = number of frogs : number of animals = 8 : 12 = 2 : 3.

Number of snakes if 3 more are added = 4 + 3 = 7

Ratio of snakes to frogs - 1 : 2  

Number of frogs that would keep the ratio constant = 7 x 2 = 14

Number of frogs that should be added = 14 - 8 = 6

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Answer:

x = -32/31

Step-by-step explanation:

4x - 1/8 x = -2 -2

(32 - 1)/8 x = -4

31/8 x = -4

x = -4 * 8/31

x = -32/31

On solving for [H], we get -

H = (T - Ga)/y

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have the following equation -

T = Ga + Hy

We have -

T = Ga + Hy

Solving for [H], we get -

Hy = T - Ga

H = (T - Ga)/y

Therefore, On solving for [H], we get -

H = (T - Ga)/y

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The populations, considering an exponential function, are given as follows:

An increasing exponential function is modeled according to the rule presented as follows:

[tex]A(t) = A(0)(1 + r)^t[/tex]

In which the variables of the function are:

In this problem, the parameters are given as follows:

A(0) = 16, r = 0.2.

Hence the function, written as P(t), is:

[tex]P(t) = 16(1.2)^t[/tex]

The numeric values are found replacing the lone instance of t by the value at which we want to find the numeric value, hence:

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