Solve for f: (-1/8)f - (3/4) -
(1/4)f = 11

The ordered pair that are solution of the equation 3x-y= 1 is (−2, −7) , (−1, −4)

and  (3, 8)

What is ordered pair ?

An ordered pair is a set of two things in mathematics. The pair's objects must appear in a specific order for them to be considered distinct from one another, unless a = b. Ordered pairs are also referred to as 2-tuples, or sequences with a length of 2.

Checking the equation by putting the values of x and y in the given options

1. (-2,-7)

LHS

=3*(-2) - (-7)

= -6+7

=1

LHS = RHS

2. (-1,-4)

LHS

=3*(-1) - (-4)

= -3+4

=1

LHS = RHS

3. (0,1)

LHS

=3*(0) - (1)

= -1

=-1

LHS \(\neq\) RHS

4. (3,8)

LHS

=3*(3) - (8)

= 9-8

=1

LHS = RHS

5. (4,2)

LHS

=3*(4) - (2)

= 12-2

=10

LHS \(\neq\) RHS

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Answer:

Uhm would it be 4 c?

Step-by-step explanation:

Answer:

4 degree c

Step-by-step explanation:

15-11=4

The principal amount is $693.33.

Simple interest is a quick and simple approach to figure out how much money has accrued interest. Interest is always applied to the original principal amount and is calculated at the same rate for each period of time. Any bank where we deposit money will pay us interest on that amount.

The formula is

Simple Interest = P x R x T/100

Given:

Interest = 78

Rate= 7.5%

Time= 1 and half year = 1.5 year

Now, Simple Interest= P x R x T / 100

                             78 = P x 7.5 x 1.5 / 100

                             7800= P x 11.25

                             P = 7800/11.25

                              P = 693.33

Hence, the principal amount is $693.33.

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Answer:

41.6 km/h

Step-by-step explanation:

Nao drives 95mi/2.5hr or 38 miles per hour, or 60.8 km/h

1 hr 15 min is the same as 1.25 hours

Arban drives 128km/1.25hr or 102.4 km/h

The difference is 102.4-60.8 = 41.6

Answer:

Answer:

constant (unchanged) ratio of two variable quantities.

Step-by-step explanation:

Constant of Variation. The constant of variation in a direct variation is the constant (unchanged) ratio of two variable quantities. The formula for direct variation is. y = k x (or y = k x ) where k is the constant of variation .

Answer: 200 for Vijayan and 125 for Jayan

Step-by-step explanation:

What the given experiment demonstrates is; The magnitude of acceleration according tp newton's second law of motion

Newton's second law of motion states that the acceleration of an object is dependent upon two variables - the net force acting upon the object and the mass of the object.

This law basically establishes a relationship between the net force and the acceleration, which is expressed as;

∑ F = m a

where;

∑F is the sum of the external forces

m the mass of the body

a is the acceleration of the body

The initial situation in the question shows the block and a baking mass. This means that an acceleration is created towards the hanging mass expressed as;

W₁ = M₁ g

F = ma

Thus;

M₁g = m a

a = (M₁g/m)

where;

W₁ is the weight of the body  

M₁ is the mass of the body hanging under the acceleration of gravity.

For the second case, there are two masses, with one on each side, and so we have;

∑ F = W₁ - W₂

∑F = (M₁ - M₂) g

Using Newton's second law of motion gives us;

(M₁ - M₂ )g = ma

a = (M₁ - M₂ )mg

Thus, the acceleration depends on the difference of the hanging masses which proves Newton's second law of motion.

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Answer:

2x - y _> 2 = 4 / y<4 3.2

Step-by-step explanation:

Answer:

C) an open top cone

Step-by-step explanation:

Answer:

Second central moment = \((a^2 - ab + b^2) / 4\\\)

Third central moment = \((a^3 - 3a^2b + 3ab^2 - b^3) / 8\)

Step-by-step explanation:

The second central moment (also known as the variance) of a variable that takes two distinct values a and b, each with equal frequency, is given by:

Second central moment = (a - mean)^2 * frequency(a) + (b - mean)^2 * frequency(b)

where mean is the mean value of the variable, frequency(a) is the frequency with which the value a occurs, and frequency(b) is the frequency with which the value b occurs.

Since the values a and b have equal frequency, the mean value of the variable is simply the average of a and b:

mean = (a + b) / 2

Substituting this expression for the mean into the formula for the second central moment, we get:

Second central moment = (a - ((a + b) / 2))^2 * frequency(a) + (b - ((a + b) / 2))^2 * frequency(b)

= (a^2 - ab + b^2) / 4

The third central moment (also known as the skewness) of a variable that takes two distinct values a and b, each with equal frequency, is given by:

Third central moment = (a - mean)^3 * frequency(a) + (b - mean)^3 * frequency(b)

Substituting the expression for the mean and the frequencies into this formula, we get:

Third central moment = (a - ((a + b) / 2))^3 * (1/2) + (b - ((a + b) / 2))^3 * (1/2)

= (a^3 - 3a^2b + 3ab^2 - b^3) / 8

I hope this helps! Let me know if you have any questions.

Answer: e, f, c, a

Step-by-step explanation:

1.   If you follow the chart, students that didn't get hired and CS major was 102 and total applicants were 234. so your percent comes from 102/234=.4358  move decimal over 2 places or multiply by 100

=e. 43.5%

2.  74/234 = .3162

=f. 31.6

3.  58/160 =.3625

=c. 36.2

4. 36/74=.4864

=a. 48.6

Answer:

Z

Step-by-step explanation:

\(x_{1} = 3x_{2} \\ x_{1} - 3x_{2} = 0 ←relation \: 1\\ x_{1} + x_{2} = 6 ←relation \: 2\)

\((x_{1},x_{2}) : (4.5,1.5)\)

\(k = x_{1}x_{2} = 4.5 \times 1.5 = 6.75\)

The probability she pulls out a purple piece of candy would be 0.22.

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is Sam's fathers collection.

We can write the equations for upstream and downstream as -

x - y = 7/2

x + y = 21/10

Solving the equations graphically -

{x} = 2.8

{y} = 0.7
In still water, the speed would be -

S = 3 - 0.7

S = 2.3 Km/h

Distance peddled upstream -

D = 2.8 x 3.5 = 9.8 Km

Therefore, the speed in still water would be 2.3 Km/h and the distance peddled upstream would be 9.8 Km.

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Answer:

67

Step-by-step explanation:

UV+VW=UW

19+4x-20

X=17

Plug it it:

6(17)-35

102-35

UW=67

The required solution of the given statement is \(3(55-w^{3} )\).

A statement is a declarative sentence that is either true or false but not both. A statement is sometimes called a proposition. The key is that there must be no ambiguity. To be a statement, a sentence must be true or false, and it cannot be both.

Given:

The given statement is Triple the difference of 55 and the cube of w.

According to given question we have

The statement is Triple the difference of 55 and the cube of w.

i.e  w cubed is \(w^{3}\) the difference between 55 and \(w^{3}\) is 55-\(w^{3}\) and three times the difference of 55 and \(w^{3}\) is \(3(55-w^{3} )\).

Therefore, the required solution of the given statement is \(3(55-w^{3} )\).

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The polynomials completely factorized have the following expressions;

50). x³ - 3x² - 26x - 12 = (x - 6)(x + 1)(x + 2)

51). x³ - 12x² + 12x + 80 = (x - 10)(x + 2)(x - 4)

52). x³ - 18x² + 95x + 126 = (x - 9)(x - 2)(x - 7)

53). x³ - x² + 21x + 45 = (x + 5)(x - 3)(x - 3)

For the polynomial x³ - 3x² - 26x - 12 divisible by x - 6;

(x³ - 3x² - 26x - 12)/(x - 6) = x² + 3x + 2

x² + 3x + 2 = (x + 1)(x + 2)

so;

x³ - 3x² - 26x - 12 = (x - 6)(x + 1)(x + 2)

For the polynomial x³ - 12x² + 12x + 80 divisible by x - 10;

(x³ - 12x² + 12x + 80)/(x - 10) = x² - 2x - 8

x² - 2x - 8 = (x + 2)(x - 4)

so;

x³ - 12x² + 12x + 80 = (x - 10)(x + 2)(x - 4)

For the polynomial x³ - 18x² + 95x + 126 divisible by x - 9;

(x³ - 12x² + 12x + 80)/(x - 9) = x² - 9x + 14

x² - 9x + 14 = (x - 2)(x - 7)

so;

x³ - 18x² + 95x + 126 = (x - 9)(x - 2)(x - 7)

For the polynomial x³ - x² + 21x + 45 divisible by x + 5;

(x³ - x² + 21x + 45)/(x + 5) = x² - 6x + 9

x² - 6x + 9 = (x - 3)(x - 3)

so;

x³ - x² + 21x + 45 = (x + 5)(x - 3)(x - 3)

Therefore, by complete factorization the expressions (x - 6)(x + 1)(x + 2), (x - 10)(x + 2)(x - 4), (x - 9)(x - 2)(x - 7), and (x + 5)(x - 3)(x - 3) are the factors of their respective polynomial.

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Answer:

B. f(x) = | x + 61 |

Step-by-step explanation:

An absolute value function is known by single vertical parenthesis demarcating the equation on both sides.

The only option with this indication is option B.

B. f(x) = | x + 61 |

This equation can be solved in two ways;

first; f(x) = - (x + 61)

second; f(x) = x + 61

1a) An equation that gives the width `y` of the book, if it has `x`-hundred pages printed on bond paper is; y = ¹/₂ + ¹/₄x

1b) Ledger paper has a thickness of 2/5 in. per `100` pages, the equation is; y = ¹/₂ + ²/₅x

2) The equation will be; y = ²/₃ +¹/₄x

1) We are told that the front cover and the back cover have a thickness of 1/4 inches and they also have a thickness of 1/4 inch. Thus;

The addition of both gives to the book thickness of;

1/4 + 1/4 = 1/2 inch, despite how many pages the book  has.

We are told that for every hundred pages, a thickness of 1/4 inch is added to the book, then the equation is:

y = ¹/₂ + ¹/₄x

where;

y is the width of the book in inches.

x is every hundred pages printed on bond paper.

1b) If ledger paper has a thickness of 2/5 in. per 100 pages, then the equation is now;

y = ¹/₂ + ²/₅x

2) If both front and back covers now, have a thickness of 1/3 inches instead of 1/4 inches each, then the equation will be;

y = 2(1/3) +¹/₄x

y = ²/₃ +¹/₄x

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Answer:

77 ft

Step-by-step explanation:

The horizontal distance is the range and it is a projectile motion.

So, range R = u²sin2θ/g where u = velocity = 50 ft/s, g = acceleration due to gravity = 32 ft/s² and θ = projection angle = 40°.

Substituting the values of the variables into the equation, we have

R = u²sin2θ/g

= (50 ft/s)²sin2(40°)/32 ft/s²

= (2500 ft²/s²)sin80°/32 ft/s²

= (2500 ft²/s²) × 0.9848/32 ft/s²

= 2462.02 ft²/s² ÷ 32 ft/s²

= 76.94 ft

≅ 77 ft to the nearest foot

Answer:

Horizontal distance = 1.98 m (Approx)

Step-by-step explanation:

Given:

Height = 2.5 m

Speed v = 2.8 m/s

Find:

Horizontal displacement

Computation:

s = ut + (1/2)gt²

2.5 = (1/2)(9.8)t²

t² = 0.5102

t = 0.7079 s

Horizontal distance = (v)(t)

Horizontal distance = (2.8)(0.7079)

Horizontal distance = 1.98 m (Approx)

Answer:

The ratio is 21:15 (21 boys to 15 girls).

There are 36 students in all

15/36 of the students are girls.

Step-by-step explanation:

For the ratio, you simply need to put the information on the correct side of the colon [:]. The total amount of students is calculated by adding the numbers together. Finally, the fraction of girls in the class is found by adding the number of girls above the number of total students.

y=mx+b

y2-y1/x2-x1

the answe would be 9

Answer: 1085

Step-by-step explanation:

The X-Cordinate is 4

Answer:

  C.  18/48 and 21/56

Step-by-step explanation:

You want to identify pairs of ratios that are proportional.

Ratios are proportional when they have the same value. We can check whether the values are the same by reducing each ratio to lowest terms.

The attached calculator display shows the proportional ratios are ...

  18/48 and 21/56 . . . . choice C

__

Additional comment

Both of these reduce to 3/8. You can remove a factor of 6 from the numbers of the first ratio, and a factor of 7 from the numbers of the second ratio to reduce both of them to 3/8.

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Answer: C.  18/48 and 21/56

Step-by-step explanation:  Hope it helps

Answer:

Step-by-step explanation:

sp = 504

gain = 12%

in this case

sp =100%+12%=504

112%=504

1%=504/112 =4.5

100%=450

so cost =$450

Hope im correct, if i am im glad to be of service.

Answer:

15

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

30 hcchxfifififififfud7dd7d