The difference of a number c and 17 is more than 33

The best way to solve an equation of the form Ax+by=c could be either substitution, completing the squares or graphical method depending on the type of equation given.

Quadratic equation

The equation in the form Ax+by=c is a quadratic problem which could be approached in different ways depending on the specific equation given and the information provided.

The methods of approach are substitution, completing the squares or graphical method which all have proven to be suitable ways to arrive at the solution.

Hence, either of the three methods are good ways to solve such equation.

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The equation of the perpendicular line passing through (0, -1) is y = -9x - 1.

To find the equation of a line that is perpendicular to the given line y = (1/9)x + 2 and passes through the point (0, -1), we can use the fact that perpendicular lines have slopes that are negative reciprocals of each other.

The given line has a slope of 1/9. To find the slope of the perpendicular line, we take the negative reciprocal of 1/9, which is -9.

Using the slope-intercept form of a linear equation, y = mx + b, where m represents the slope and b represents the y-intercept, we can substitute the slope and the coordinates of the given point (0, -1) into the equation.

y = -9x + b

Since the line passes through the point (0, -1), we can substitute the x-coordinate as 0 and the y-coordinate as -1 into the equation:

-1 = -9(0) + b

-1 = b

Therefore, the y-intercept (b) of the perpendicular line is -1.

Putting it all together, the equation of the line that passes through (0, -1) and is perpendicular to y = (1/9)x + 2 is:

y = -9x - 1

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Answer:

Step-by-step explanation:

The 'odds' is

The 'odds against' is

Answer:

"Odds for" - Number of successes : Number of failures

Number of success = 2, 3, 7 or 10

Number of failures = 1, 4, 5, 6, 8, 9, 11, 12

⇒ odds for stopping on 2, 3, 7 or 10 = 4/8 = 1/2

"Odds against" - Number of failures : Number of successes

Number of success = 1, 2, 3, 4

Number of failures = 5, 6, 7, 8, 9, 10, 11, 12

⇒ odds against stopping on 1, 2, 3 or 4 = 8/4 = 2

Ok to choose a committee of six people and the probability that it will be majority of the party supporters.

Probabilty= 30C6/50C6

Probability= 593775/15890700

Probabilty= 0.037

The factored expression of 4x³ - 2x² + 8x - 4 is (2x² + 4)(2x - 1) by grouping

From the question, we have the following parameters that can be used in our computation:

4x³ - 2x² + 8x - 4

Group the expression in 2's

So, we have

(4x³ - 2x²) + (8x - 4)

Factorize each group

2x²(2x - 1) + 4(2x - 1)

So, we have

(2x² + 4)(2x - 1)

Hence, the factored expression is (2x² + 4)(2x - 1)

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Answer:

y=2x-4

Step-by-step explanation:

Hope you understand

The area of the enclosed region in the diagram is 20 square units.

The area of the enclosed region in the diagram can be calculated using the formula A = lw, where A is the area, l is the length, and w is the width. The length is 5 units and the width is 4 units, so A = lw = 5 X 4 = 20 square units.

To calculate the area, we first need to find the length and width of the enclosed region. The length can be found by measuring the longest side, which is the bottom side. This side has a length of 5 units. The width can be found by measuring the shorter side, which is the left side. This side has a width of 4 units.

Once we have the length and width, we can use the formula A = lw to calculate the area. In this case, A = 5 X 4 = 20 square units. Therefore, the area of the enclosed region in the diagram is 20 square units.

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Answer:

This is easy...stop purchasing this outrageous coffee for $425. No coffee is that good

Answer:

less than

Step-by-step explanation:

Answer:

-5/6 is less than to 2/3

Answer:

\(6x^4y^8\sqrt{5x}\)

Step-by-step explanation:

\(\textsf{When $x > 0$ and $y > 0$, we want to find the expression that is equivalent to}\) \(\sqrt{180x^9y^{16}}.\)

\(\textsf{First, apply the radical rule:} \quad \sqrt{ab}=\sqrt{a}\sqrt{b}\)

\(\sqrt{180}\sqrt{x^9}\sqrt{y^{16}}\)

\(\textsf{Rewrite $x^9$ as $x^{8+1}$:}\)

\(\sqrt{180}\sqrt{x^{(8+1)}}\sqrt{y^{16}}\)

\(\textsf{Apply the exponent rule:} \quad a^{b+c}=a^b \cdot a^c\)

\(\sqrt{180}\sqrt{x^{8}\cdot x^1}\sqrt{y^{16}}\)

\(\sqrt{180}\sqrt{x^{8}}\sqrt{x}\sqrt{y^{16}}\)

\(\textsf{Apply\:the\:radical\:rule:\:}\sqrt[n]{a^m}=a^{\frac{m}{n}},\:\quad a\geq 0\)

\(\sqrt{180}\;x^{\frac{8}{2}}\sqrt{x}\;y^{\frac{16}{2}}\)

\(\sqrt{180}\;x^4\sqrt{x}\;y^8\)

\(\sqrt{180}\sqrt{x}\;x^4\;y^8\)

\(\textsf{Rewrite $180$ as $(6^2 \cdot 5)$:}\)

\(\sqrt{6^2 \cdot 5}\sqrt{x}\;x^4\;y^8\)

\(\textsf{Apply the radical rule:} \quad \sqrt{ab}=\sqrt{a}\sqrt{b}\)

\(\sqrt{6^2} \sqrt{5}\sqrt{x}\;x^4\;y^8\)

\(\textsf{Apply the radical rule:} \quad \sqrt{a^2}=a, \quad a \geq 0\)

\(6 \sqrt{5}\sqrt{x}\;x^4\;y^8\)

\(\textsf{Apply the radical rule:} \quad \sqrt{a}\sqrt{b}=\sqrt{ab}\)

\(6 \sqrt{5x}\;x^4\;y^8\)

\(\textsf{Rearrange:}\)

\(6x^4y^8\sqrt{5x}\)

\(\textsf{Therefore, when $x > 0$ and $y > 0$, the expression that is equivalent to}\)

\(\sqrt{180x^9y^{16}}\;\textsf{is}\;\;\boxed{6x^4y^8\sqrt{5x}}\:.\)

Answer:

C) 395.84 in^2

Step-by-step explanation:

I took the test

Answer:

"0.0808" is the appropriate response.

Step-by-step explanation:

Given:

n = 524

\(\hat{P}\) = 41%

or,

   = 0.41

\(1-\hat{P}=1-0.41\)

         \(=0.59\)

\(\mu \hat{P}=\hat{P}\)

     \(=0.41\)

Now,

⇒ \(6 \hat{P}=\sqrt{\frac{\hat {P}(1-\hat{P})}{n} }\)

         \(=\sqrt{\frac{0.41\times 0.59}{524} }\)

         \(=0.0215\)

\(P(\hat {P}>44 \ percent)\)

or,

\(P(\hat{P}>0.44)\)

          \(=1-P(\hat{P}<0.44)\)

          \(=1-P(\frac{\hat{P}-\mu \hat{P}}{6 \hat{P}} <\frac{0.44-0.41}{0.0215} )\)

          \(=1-P(z<1.40)\)

By using the standard normal table, we get

          \(=1-0.9192\)

          \(=0.0808\)    

Answer: C(x) = (8 php)*x + 50 php.

Step-by-step explanation:

In a linear equation:

y = a*x + b

a is the slope.

x is the variable

b is the y-intercept.

In this case, we have

The rent is 50 php fixed, plus 8 php per hour.

Then we will pay the 50php only one time, and it does not depend on the number of hours that we rent, then this is the y-intercept.

then if we rent the bike for x hours, we will pay a plus of x*8 php.

Then the total cost for x hours, C(x), will be

C(x) = (8 php)*x + 50 php.

Then the slope is 8 php, and the y-intercept is 50 php.

The transformations that change the domain of a function are given as follows:

The domain of a function is defined as the set containing all the values assumed by the independent variable x of the function, which are also all the input values assumed by the function.

Hence we must look at transformations that change the values of x of the function, which are given as follows:

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Answer:

Picture below...

Step-by-step explanation:

Hope this helped!

brainliest please!

Answer:

1134

Step-by-step explanation:

Answer:

-5

Step-by-step explanation:

(i^2) = -1 so -1 -1 + 3x = 3x - 2. If x = i^2 = -1, then 3x = -3. -3 - 2 = -5

Answer:

\(3 \: years \\ 30000 \times 0.97 \times 0.97 \times 0.97 = 27380.19 \\ 2 \: year \\ 30000 \times 0.97 \times 0.97 = 28227 \\ 1\: year \\ 30000 \times 0.97 = 29100\)

Given:

When x= -4

When x= -2,

When x=0,

When x=2

When x=4

Answer:

The probability is  \(P(| \= X- \mu| < 199 ) = 0.733\)

Step-by-step explanation:

From the question we are told that

   The mean mileage of a tire is   \(\mu = 44663\)

   The standard deviation is  \(\sigma = 2594\)

   The sample size is  n  =  209

 Generally the standard error of mean is mathematically represented as

    \(\sigma_{x}  =  \frac{\sigma}{\sqrt{n} } \)

=>  \(\sigma_{x}  =  \frac{2594}{\sqrt{209} } \)  

=>  \(\sigma_{x}  =   179.4  \)      

Generally  the probability that the sample mean would differ from the population mean by less than 199 miles  is mathematically represented as

     \(P(| \= X- \mu| < 199 ) = P(|\frac{\= X - \mu}{ \sigma_{x}}| < \frac{199}{ 179.4})\)

\(\frac{\= X -\mu}{\sigma }  =  Z (The  \ standardized \  value\  of  \ \= X )\)

=>  \(P(| \= X- \mu| < 199 ) = P(|Z| < \frac{199}{ 179.4})\)

=>   \(P(| \= X- \mu| < 199 ) = P(|Z|< 1.11)\)

=>   \(P(| \= X- \mu| < 199 ) = P(-1.11 \le Z \le 1.11 )\)

=>   \(P(| \= X- \mu| < 199 ) = P(Z \le 1.11 ) - P( Z \le -1.11 )\)

From the z  table  the area under the normal curve to the left corresponding to 1.11 and -1.11 is  

        \(P(Z \le 1.11 ) = 0.8665\)

and

       \(P(Z \le - 1.11 ) = 0.1335\)

So

    \(P(| \= X- \mu| < 199 ) = 0.8665 - 0.1335\)

=>  \(P(| \= X- \mu| < 199 ) = 0.733\)

Answer:

the answer is an group tens

Step-by-step explanation:

BRAINLIEST PLEASE

bTo determine the percent of the original price you end up paying after the discounts, we can calculate the final price as a percentage of the original price.

Let's assume the original price of an item is $100.

The first discount reduces the price by 50%, so the price after the first discount is 50% of the original price, which is $100 * 0.5 = $50.

The second discount of 45% is applied to the price after the first discount. The price after the second discount is 45% of $50, which is $50 * 0.45 = $22.50.

Therefore, the final price you end up paying after both discounts is $22.50.\

To find the percent of the original price you end up paying, we divide the final price by the original price and multiply by 100:

Percent of original price = (final price / original price) * 100

In this case, the final price is $22.50 and the original price is $100:

Percent of original price = ($22.50 / $100) * 100

                       = 0.225 * 100

                       = 22.5%

Therefore, you end up paying 22.5% of the original price after the discounts.

It's important to note that the percent of the original price you end up paying will depend on the original price of the item. The calculations above were based on the assumption that the original price was $100. If the original price is different, the resulting percentage will vary accordingly.

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Answer:

A) less than 100 pages

Step-by-step explanation:

p = # pages

Printer 1:

y = .25p + 5

Printer 2:

y = .20p + 10

.25p + 5 < .20p + 10

.05p + 5 < 10

.05p < 5

p < 5/.05

p < 100

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:

6

Step-by-step explanation:

The sides are in proportion.

The guests in the birthday party ate 33 cookies.

We know that Mrs. Smith made 6 1/4 dozen cookies and there were 3 1/2 dozen cookies left.

Let's first convert these fractions to a common denominator of 4, so we can easily subtract them.

6 1/4 dozen = 25/4 dozen

3 1/2 dozen = 14/4 dozen

Now we can subtract the number of cookies that were left from the number of cookies that were made:

25/4 - 14/4 = 11/4 dozen

To find out how many cookies this represents, we need to multiply by the number of cookies in one dozen.

There are 12 cookies in one dozen, so:

11/4 x 12 = 33

Therefore, the guests ate 33 cookies.

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9514 1404 393

Answer:

  x = 5

Step-by-step explanation:

The two triangles are similar by the ASA theorem. The ratio of long side to short side in each right triangle is the same:

  x/3 = 7.5/4.5

  x = 3(7.5/4.5) . . . . multiply by 3

  x = 5

Answer:

Step-by-step explanation:

Point slope form y-y₁ = m(x-x₁)

-5 - (-6) = m(9 - 1)

1 = m(8)

1/8 = m

y= 1/8x + b

-6 = 1/8(1) + b

b = -6.125

y = 1/8x -6.125

The expression ∛-1024 in a simplified form is -8∛2

From the question, we have the following parameters that can be used in our computation:

∛-1024

Expand 1024

So, we have

∛-1024 = ∛-2¹⁰

Take the cube root of 2¹⁰

So, we have

∛-1024 = -8∛2

Hence, the expression in a simplified form is -8∛2

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The equations are x-3y=1 and 2x-y=7.

Multiply the equation 2x-y=7 by 3 to make coefficents of y in both the equation equal.

Substarct the equation 6x-3y=21 from the equation x-3y=1 to eliminate the y terms from the equation.

Substitute 4 for x in equation 2x-y=7 to obtain the value of y.

So the solution of equation is (4,1).