-2x^2+4x=5

use the Quadratic formula, the equation needs to be in standard form first. Then label a, b and c and plug it into the quadratic formula and simplify using the order of operations.

i can't graph it for you but

x is greater than or equal to 7

Answer:

Step-by-step explanation:

C(3) means the cost of transporting 3 crates of sugar.

It is calculated by substituting the value of n into equation:

The cost of transporting 3 crates of sugar is 460 dollars

The equations which is equivalent to 1 whole 1/2 x 3 whole 1/5 = 4 whole 1/2 is 3/2 x 16/5 = 9/2.

Fractions represent the parts of a whole or collection of objects.

A fraction has two parts. The number on the top of the line is called the numerator and the number on the top of the line is called the denominator.

Now given equation is,

1 whole 1/2 x 3 whole 1/5 = 4 whole 1/2

Converting them into simple fraction we get,

1 whole 1/2 = 3/2

3 whole 1/5 = 16/5

4 whole 1/2 = 9/2

Thus, the equation becomes,

3/2 x 16/5 = 9/2

this is the required equivalent equation for the given equation.

Thus, the equations which is equivalent to 1 whole 1/2 x 3 whole 1/5 = 4 whole 1/2 is 3/2 x 16/5 = 9/2.

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The rotation of 90° counterclockwise is-

Part 5) The correct option is C.  

Part 6) The correct option is A.  

A rotation is a transformation which revolves an object around a fixed point known as the centre of rotation.

For the given questions;

Part 5) rotation of 90° counterclockwise for ABCD

The position of the figure ABCD after the rotation of 90° counterclockwise is shown by option C. The coordinates of E after rotation will be at (-2,0).

Part 6) rotation of 90° counterclockwise for ABCD

The position of the figure ABCD after the rotation of 90° counterclockwise is shown by option A. The coordinates of B after rotation will be at (6,4).

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Answer:

12 yd

Step-by-step explanation:

Since the questions says "assuming that all intersecting sides meet at right angles" means that this shape is made up of 2 rectangles :

So Opposite 16 yd should be the 4 yd at the bottom + missing side

So the answer is 12 yd

Hope this helped and you understood and have a good day

The density of the copper piece is 17. 82g/cm³

The formula for determining density is expressed as;

D = m/ v

Density is denoted with rho 'ρ'

Where;

Substitute the values into the formula

Density, ρ = 39. 2/ 4. 4

Divide through

Density, ρ = 17. 82 g/cm³

The density of the copper piece is 17. 82g/cm³

Thus, the density of the copper piece is 17. 82g/cm³

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Answer:

51

Step-by-step explanation:

Itsssssssssssss 51 ezyyy

Answer:

51 is correct Answer. Please mark me as brainlist answer.

Answer:

1x - 19683

Step-by-step explanation:

(I have to assume you meant to simplify the equation)

27 to the third power can also be written as: 27 * 27 * 27

That equals 19683

So the equation would be: 1x - 19683

Answer:

non-cardholder: 152

cardholder: 147

Step-by-step explanation:

Lets make a system of equations

c=cardholder

n=non-cardholder

1. c + n = 299

2. 1.25c + 2.50n = 563.75

Write 1 as n = 299-c

Write 2 as cents, 125c + 250n = 56375

n= 299-c

125c + 250n = 56375

Substitute n with 299 - c

125c + 250(299-c) = 56375

125c + 74750 - 250c = 56375

74750 - 125c = 56375

125c = 18375

c = 147

n = 299 - c

n = 299 - c = 152

Hope this helps :)

Have a nice day!

If 80 % (percentage) of marbles are blue then there are 36 blue marbles.

Percentage is the process of representing parts of a number by dividing the number into equal hundreds.

If the total amount is equivalent to 100 then the percentage denotes the number which is identical to the part of the number. In other words percentage denoted as % is part of 100.

The process of converting a part into percentage is by dividing the part by the total amount and multiplying the result by 100.

Now the total number of marbles in the jar is 45 and 80% of them are blue.

Now let us consider this :

so 80% of 45 = 80/100 × 45

or, blue marbles = 36

Hence the number of blue marbles is 36.

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the expression that represents the perimeter of the rectangle is 19d-5.4f.

Perimeter can be defined as the total distance around an object.

To calculate the expression representing perimeter of  the rectangle, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the expression that represents the perimeter of the rectangle is 19d-5.4f.

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The number of significant figures in the number 6.4×10³ are two which is '6 and 4'.

Significant figures notation is the method of determining the numbers in any representation which are necessary and holds some specific value. All the numbers which do not hold any specific value or position are not considered as significant figures. There are certain rules to determine the significant figures. These rules are that all non-zero numbers are significant, zeroes between two non-zero number are considered significant, zeroes before non-zero number are not significant.

In the question the number 6.4×10³ has only two significant digits which is '6 and 4' and the number 10 and 4 will not be counted as significant digits.

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24.42

Step-by-step explanation:

Quotient can be defined as the result when a number is divided by another number.

Here, the Dividend = 7.326; Divisor = 0.3

7.326 ÷ 0.3 = 24.42

This shows that 7.326 is not exactly divisible by 0.3

Therefore, quotient = 24.42

Price of each ticket without service charge is : 43.569                                                                                                              Service charge : A service charge is an amount that is added to your bill in a restaurant to pay for the work of the person who comes and serves you.

So we have to find out price of each ticket without service charge

Total service charge added on both the tickets : 3%

Step by step solution :

$92.70 (both tickets with service charge)

92.70*3/100

2.781 (service charge for one ticket)

2.781*2= 5.562

92.70-2.781=89.919

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Answer:

Yes, you are correct.
We are told that he stops 5 times in total after walking equal distances per stop, meaning he split the total distance he had to walk into 5 parts.

The length of the distance between one stop to another would be equal to [tex]\frac{2250}{5}[/tex].

The potential irregularities in the given data are; The third term and the eight term.

An outlier is an observation that lies an abnormal distance from other values in a random sample from a population.

Now, we are given the amount of monthly data usage by sample of 10 cellphone users (in GB) as: 4.7, 6.3, 2.5 GB, 0.8, 1.8, 7.8, 0.7, 1081, 0.6, 4.6.

By careful observation, we can tell that majority of the 10 samples are decimals and less than 10. Thus, the first irregularity or outlier is 1081.

Now, the given data is said to be all in GB and as such there is no need to still add GB to 2.5. Thus, the second irregularity or outlier is 1081.

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Answer:

there are 22 zeros when the number is written in standard notation.

Answer:

14

Step-by-step explanation:

The 90% confidence interval for the mean score, μ, of all students taking the test is B. 21.8<u<23.0

Given a=0.1, Z(0.05)=1.645 (from standard normal table)

So 90% confidence interval is

xbar+/-Z*s/vn

= 22.4+/-1.645*2.8/sqrt(66)

= (21.83304, 22.96696)

Therefore, the 90% confidence interval for the mean score, μ, of all students taking the test is 21.8<u<23.0.

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Answer:

y = x - 2

Step-by-step explanation:

5x - 2 = 8 + 5y ( subtract 8 from both sides )

5x - 10 = 5y ( isolate y by dividing both sides by 5 )

[tex]\frac{5}{5}[/tex] x - [tex]\frac{10}{5}[/tex] = y , that is

y = x - 2

The measure of the central angle m∠UQR is 130 degrees.

Central angle is the angle formed by two arms and having the vertex at the centre of a circle.

The diameter of a circle runs from the centre of a circle.

The diameter SU and RT intersect each other at point Q.

Therefore,

m∠UQT = m∠RQS (Vertically opposite angles)

m∠UQR = m∠TQS (Vertically opposite angles)

Hence,

m∠RQS = 50°

Therefore,

m∠UQR = 360 - 50 + 50  / 2

m∠UQR = 360 - 100 / 2

m∠UQR = 260 / 2

m∠UQR = 130°

Therefore, the measure of the central angle m∠UQR is 130 degrees.

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Using 3.14 as the value of pi, and radius of 10, the area of the circle is given as 314.00 inches

The formula for the area of a circle is given as

πr² in terms of radius, r.

The radius is related to the diameter, d by  r = d/2. so the area of a circle can also be in terms of the diameter, which is given as

πd²/4 in terms of diameter of a circle

We have been given the radius of the question as 10

When we add this to the formula we would have

Area = 3.14 x 10²

= 3.14 x 10 x 10

= 314.00

Hence we can conclude that the radius of a circle as 10 inches, the area of a given circle to the nearest hundred is 314.00 in²

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Complete question

Determine the area of the circle, given each measurement. Use 3.14 for Pi and round to the nearest hundredth.

Radius: 10 in.

A=_____in^2

keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above

[tex]y=\stackrel{\stackrel{m}{\downarrow }}{1}x+6\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]

so a perpendicular line to that one will have

[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{1\implies \cfrac{1}{\underline{1}}} ~\hfill \stackrel{reciprocal}{\cfrac{\underline{1}}{1}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{\underline{1}}{1}\implies -1}}[/tex]

so we're really looking for the equation of a line whose slope is -1 and that it passes through (3 , 2)

[tex](\stackrel{x_1}{3}~,~\stackrel{y_1}{2})\hspace{10em} \stackrel{slope}{m} ~=~ - 1 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{2}=\stackrel{m}{- 1}(x-\stackrel{x_1}{3}) \\\\\\ y-2=-x+3\implies {\LARGE \begin{array}{llll} y=-x+5 \end{array}}[/tex]

For the function g(x) we have:

There are multiple features we can find, in this case, the most important ones are:

Domain.

Y-intercept.

Range.

First let's find the domain.

We know that logarithmic functions can be only evaluated in arguments larger than zero, so:

x + 2  > 0

x > -2

The domain is the set of all real numbers larger than -2.

Now the range is trivial, for all logarithmic functions the range is the set of all real numbers.

Finally, for the y-intercept we need to evaluate in x = 0, so we get:

y-intercept = log(0 + 2) = log(2) = 0.3

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The steps given to find the standard deviation of the data-set are as follows:

For this problem, the are 5 values, hence:

n = 5.

The sum of the values is given by:

6 + 7 + 8 + 9 + 10 = 40.

Hence:

[tex]\sum x = 40[/tex]

The mean is given by:

40/5 = 8.

Hence:

[tex]\bar{x} = \frac{\sum x}{n} = 8[/tex]

The sum of the differences squared between each observation and the mean is:

(6 - 8)² + (7 - 8)² + (8 - 8)² + (9 - 8)² + (10 - 8)² = 10.

Hence:

[tex]\sum (x - \bar{x})^2 = 10[/tex]

Dividing by the number of values, we have that 10/5 = 2, hence:

[tex]\frac{\sum (x - \bar{x})^2}{n} = 2[/tex]

Taking the square root, the standard deviation is:

[tex]\sqrt{\frac{\sum (x - \bar{x})^2}{n}} = 2[/tex]

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Answer:

C obtuse

Step-by-step explanation:

An Obtuse angle measures more than 90° but less than 180°. A Straight angle or a half turn is always 180 °. Reflex is the next largest measuring more than 180° but less than 360°.

The given value, 1,503 passengers which represents the number of individuals that died according to the task content is; Choice B; The value is a parameter because it describes some characteristic of a population.

A parameter, in its simplest definition is a measure which describes a characteristic or feature of a population, for instance, the mean of the population.

A statistic on the other hand is a measure of the characteristic or feature of a sample such as a sample standard deviation.

On this note, the number 1503 as given in the task content is a parameter as it describes some characteristic of a population.

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If f (0) = 1, then the point is ( 0 , 1 ) on the graph of f (x).

A point on a graph is represented by the form:

( x , y ) where x is the abscissa and y is the ordinate of the function.

We are given a point on the graph of f ( x ) = y as:

f ( 0 ) = 1

Comparing it with f (x) = y, we get that:

x = 0

y = 1

so, the point will become:

( 0 , 1 )

Therefore, we get that, If f (0) = 1, then the point is ( 0 , 1 ) on the graph of f (x).

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Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form. The athletic program is more popular.

Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form.

Given that,

A town’s most popular drive-in restaurant has 2,500 followers on a social networking website.

The town’s high school athletic program has 1.5* 10^4 followers on the same website.

We need to find which is popular among both the programs.

Athletic program views=1.5* 10^4=15000.

Drive in  has views 2,500

15000>2500

Therefore athletic program is more popular according to the given data.

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