Determine if the following equation is linear. If the equation is linear, convert it to standard form: ax+by=c
.

−10x+11(y+x)=10

Answer:

I think (2x−3)(3x+5)

Answer:

  (a)  2.56197 x 10¹⁹

Step-by-step explanation:

You want the sum of 2.53 x 10¹⁹ and 3.197 x 10¹⁷ written in scientific notation.

You can only add digits that have the same place value multiplier. When numbers are written in standard form, we make sure we're doing that by aligning the decimal points of the two numbers.

When numbers are in scientific notation, the decimal point shown is usually not the actual decimal point. Rather the exponent of 10 tells you where the decimal point is found.

For example, 10¹⁹ tells you the number's decimal point is 19 places to the right of where it is shown in 2.53×10¹⁹. Similarly, 3.197×10¹⁷ tells you the decimal point is 17 places to the right. If we want to align the decimal points, we need to have the power-of-ten multipliers have the same exponent:

  2.53×10¹⁹ + 3.197×10¹⁷

  = 2.53×10¹⁹ + 0.03197×10¹⁹

  = 2.56197×10¹⁹

Any scientific or graphing calculator, and any spreadsheet can add these number more or less as they are written. Output can be formatted in scientific notation, too. The attachment shows a calculator used to sum the numbers.

Often a calculator or spreadsheet will use "E" in place of "×10^", as

  2.56197E19 instead of 2.56197×10^19

__

Additional comment

The use of E to signify the power of 10 comes from a period in computer history when typeset number formatting was unavailable, and character count was at a premium.

Answer:

2√7

Step-by-step explanation:

-7√7 + 9√7- 2√7

this is what l got

No, we cannot conclude that pedestrians are safer in San Francisco than in Los Angeles based on the data provided. The number of pedestrian fatalities in a given county is only one factor in determining the safety of pedestrians in that county.

Other factors, such as the number of pedestrians in each county, the number of vehicles in each county, the number of traffic laws in each county, and the number of traffic enforcement officers in each county, all play a role in determining the safety of pedestrians in a given county.

We would also need to consider other factors such as the number of pedestrian-friendly infrastructure in each county, the number of pedestrian-friendly policies in each county, and the number of pedestrian-friendly initiatives in each county. With this additional data, we would be able to make a more informed conclusion about which county is safer for pedestrians.

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1 year insurance policy covering its equipment was purchased for 6,144. The date purchased was June 14 but it doesn't go into effect until June 16th, the amount paid for the month of June is approximately $252.75, and the amount paid for the entire year is approximately $6,144.

To calculate the amount paid for the month and the year, we need to consider the number of days covered by the insurance policy. Let's break it down step by step:

Step 1: Determine the number of days covered in June.

Since the policy doesn't go into effect until June 16th, there are 15 days remaining in June that will be covered by the insurance policy.

Step 2: Calculate the daily rate.

To find the daily rate, we divide the total cost of the insurance policy by the number of days in a year:

Daily rate = 6,144 / 365

Step 3: Calculate the amount paid for June.

The amount paid for June can be found by multiplying the daily rate by the number of days covered:

Amount paid for June = Daily rate * Number of days covered in June

Step 4: Calculate the amount paid for the year.

To calculate the amount paid for the year, we simply multiply the daily rate by 365 (the total number of days in a year):

Amount paid for the year = Daily rate * 365

Now let's perform the calculations:

Step 2: Daily rate

Daily rate = 6,144 / 365 ≈ 16.85 (rounded to two decimal places)

Step 3: Amount paid for June

Amount paid for June = 16.85 * 15 ≈ 252.75 (rounded to two decimal places)

Step 4: Amount paid for the year

Amount paid for the year = 16.85 * 365 ≈ 6,144 (rounded to two decimal places)

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Answer:

6

Step-by-step explanation:

14-4=10+2=12-6=6+6=12

Answer:

6 yards

Step-by-step explanation:

she need 1 yard of ribbon for each hairbow and 6 friends to make them for

Answer:

D, because each input has exactly one output.

Answer:

2/5 (2 by 5) hope this helps :)

Answer:

P = -3r -5t + 25

r(-2): P = -5t + 31

r(-5): P = −5t + 40

r(5): P = −5t + 10

t(4): P = −3r + 5

t(-4): P = −3r + 45

t(8): P = −3r − 15

Answer: 3 x 5 x 13

Step-by-step explanation:

195 / 5 = 39

39/3 = 13

So...

3 x 5 x 13

Answer:

5*3*13

Step-by-step explanation:

195

5*39

5*3*13

The width of the rectangle whose perimeter is 37 cm is 6.25 cm.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

The length of a rectangle is 6 cm more than its width, w cm.

So, the length = w + 6

The perimeter of the rectangle is 37 cm.

Then, Perimeter of the rectangle = 37

2(l+ w) = 37

2( w+ 6 +w )= 37

2(2w + 6)= 37

4w + 12 = 37

4w = 25

w = 6.25 cm

and, length = w+ 6 = 6 + 6.25 = 12.25 cm

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Answer:

Step-by-step explanation:

\(y=(\frac{1}{g} )x\)

Constant up a proportionally is  \(\frac{1}{g}\).

Answer:

w = 6    x = 5.6

Step-by-step explanation:

w/8 = 7.5/10

10w = 8 (7.5)

10w = 60

w = 6

x/7.5 = 4.5/6

6x = 7.5 (4.5)

6x = 33.75

x = 5.625

Answer:

The answer if you divide with a calculator would be 3.75, but if you put that in time form, the time would be 4 hours and 15 minutes

Step-by-step explanation:

On solving the provided question, we can say that coordinates are (-2,2) and (0,-2), inequality equation will be => y\(\leq\) -2x + 2

An inequality in mathematics is a relationship between two expressions or values that is not equal. Thus, imbalance leads to inequality. An inequality creates the link between two values that are not equal in mathematics. Egality is distinct from inequality. When two values are not equal, most commonly use the not equal sign (). Different inequalities are used to contrast values, no matter how little or large. Many simple inequalities may be resolved by modifying the two sides until the variables are all that remain. But a number of things contribute to inequality: Negative values on both sides are divided or added. Trade off the left and right.

as here,

coordinates are (-2,2) and (0,-2)

inequality equation will be

y\(\leq\) -2x + 2

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Answer:

y = 7

Step-by-step explanation:

3y + (y+1) + (4y-3) = 54

3y + y + 4y + 1 - 3 = 54

8y - 2 = 54

8y = 54 + 2

8y = 56

y = 56/8

y = 7

Check:

3*7 + (7+1) + ((4*7)-3) = 54

21 + 8 + 28-3 = 54

29 + 25 = 54

The number of cannonballs in illustration is 506.

Math Illustrations enables you to produce more useful geometry figures for your students in less time by fusing the constraint-based design of Geometry Expressions with simple-to-use sketching and graphing features.

The number of cannonballs in the first layer = 1² = 1

Number of cannonballs in the second layer = 2² = 4

Number of cannonballs in the third layer = 3² = 9

So, the generalized formula to count the balls is given as

= n(n + 1) (2n + 1)/ 6

Here, n= the total number of layers

Put n =11

11(11 + 1)(2(11) + 1) / 6

= 11(12)(23)/6

= 3036/6
= 506

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The recursive formula of the function is P(n + 1) = 3 + Pn while the explicit formula  is P(n) = 6 + 3(n -1)

The given parameters are

Po = 6

P1 = 9

From the question, we understand that the number of cars follows a linear model

This means that the common difference is

d = P1 - Po

So, we have

d = 9 - 6

Evaluate

d = 3

The recursive formula  is

P(n + 1) = d + Pn

So, we have

P(n + 1) = 3 + Pn

From the question, we understand that the number of cars follows a linear model

This means that the common difference is

d = 9 - 6

Evaluate

d = 3

The explicit formula  is

P(n) = Po + (n -1) * d

So, we have

P(n) = 6 + (n -1) * 3

Evaluate

P(n) = 6 + 3(n -1)

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Let's see what to do buddy...

\( - 3(4 - 2x) = 4 - 2x\)

Subtract the sides of the equation minus( 4 - 2x ) :

\( - 3(4 - 2x) - (4 - 2x) = 0\)

Factoring ( 4 - 2x ) :

\((4 - 2x)( - 3 - 1) = 0\)

\((4 - 2x)( - 4) = 0\)

Divided the sides of the equation by -4

\(4 - 2x = 0\)

Subtract the sides of the equation minus 4

\( - 2x = - 4\)

Negatives simplified.

\(2x = 4\)

Divided the sides of the equation by 2

\(x = \frac{4}{2} \\ \)

\(x = 2\)

_________________________________

And we're done...

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

Nonetheless, it is clear that the length of AE, which is not specified in the issue statement, depends on the length of AD.

We may determine the length of FC using the Pythagorean theorem:

\(FC^2 = BF^2 - BC^2\)

\(FC^2 = (2x)^2 - x^2\)

\(FC^2 = 3x^2\)

\(FC = sqrt(3x^2) = x*sqrt(3)\)

The Pythagorean theorem can be used to determine the length of BE because F is the midpoint of BD:

\(BE^2 = BF^2 + FC^2\)

\(BE^2 = (2x)^2 + (x*sqrt(3))^2\)

\(BE^2 = 4x^2 + 3x^2\)

\(BE^2 = 7x^2\)

\(BE = sqrt(7x^2) = x*sqrt(7)\)

In order to get the length of AE, we can finally utilise the Pythagorean theorem once more:

\(AE^2 = AB^2 + BE^2\)

\(AE^2 = (2x)^2 + (x*sqrt(7))^2\)

\(AE^2 = 4x^2 + 7x^2\)

\(AE^2 = 11x^2\)

\(AE = sqrt(11x^2) = x*sqrt(11)\)

Therefore, Where x is the side length of each quilt square, the length of AE is equal to \(x*sqrt(11)\) . Without more information, we cannot precisely calculate the value of x or \(AE\) .

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complete question:

The quilt is made of squares with diagonals. the length of BD is 4. what is the area of square ABCD

Answer:

It is counter clockwise

Step-by-step explanation:

The description of the transformation from f(x) = 3x + 7 to g(x) = 8x + 7 will be counterclockwise rotation.

The equation of line is given as

y = mx + c

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

The equations are given below.

f(x) = 3x + 7  and g(x) = 8x + 7

The slope of f(x) is 3 and the slope of g(x) is 8.

It is clear that the slope is increased, then the line rotates counterclockwise about the y-intercept.

Then the correct option is D.

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y≤−5x−10 and y>x+2 The shaded region satisfies both inequalities and represents the solution to the system of linear inequalities.

To graphically solve this system of linear inequalities, we can start by graphing each inequality on the same coordinate system:

First, let's graph the inequality y ≤ -5x - 10. We can start by graphing the line y = -5x - 10, which is the boundary line of the inequality. We can plot two points on this line, say (-2,0) and (0,-10), and draw a straight line passing through them.

Next, we need to determine which side of the line satisfies the inequality y ≤ -5x - 10. We can choose any point on one side of the line, say (0,0), and test it in the inequality. If y ≤ -5x - 10 is true for (0,0), then that side of the line satisfies the inequality. Otherwise, the other side satisfies the inequality. Testing (0,0), we have:

0 ≤ -5(0) - 10

0 ≤ -10

This is false, so the side of the line containing the origin does not satisfy the inequality. The other side of the line does.

Now, let's graph the inequality y > x + 2. We can start by graphing the line y = x + 2, which is the boundary line of the inequality. We can plot two points on this line, say (-2,0) and (0,2), and draw a straight line passing through them.

Next, we need to determine which side of the line satisfies the inequality y > x + 2. We can choose any point on one side of the line, say (0,0), and test it in the inequality. If y > x + 2 is true for (0,0), then that side of the line satisfies the inequality. Otherwise, the other side satisfies the inequality. Testing (0,0), we have:

0 > 0 + 2

This is false, so the side of the line containing the origin does not satisfy the inequality. The other side of the line does.

Now, we can shade the region that satisfies both inequalities. The shaded region is the region that is below the line y = -5x - 10 (including the line itself) and above the line y = x + 2 (excluding the line itself).

The shaded region is shown below:

Graph of y≤−5x−10 and y>x+2

The shaded region satisfies both inequalities and represents the solution to the system of linear inequalities.

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Answer:

I think True, because it looks like it

The frequency which is to filled in the table is 3,1,2,4.

Given  shopping time of ten shopkeeper: 36,20,32,18,20,33,28,34,37,23.

We have to complete the frequency in the table. Frequency of something is the number of times that number is coming.

Shopping time is given as 36,20,32,18,20,33,28,34,37,23.

Intervals for which frequency is given is 18 to 22, 23 to 27, 28 to 32, 33 to 37.

Numbers in the range 18 to 22=18,20,23 therefore 3

Numbers in the range 23 to 27=23 therefore 1

Numbers in the range 28 to 32=32 , 28  therefore 2

Numbers in the range 33 to 37=36, 33, 37, 34 therefore 4.

Hence the frequency which is to filled are 3,1,2,4.

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Therefore, the solutions to the equation are (0, 0), (1, 1), (-1, 1), (2, 4), (-2, 4), (3, 9), and (-3, 9).

In arithmetic equations, the exact symbol (=) is used to denote the equivalence of two assertions. It is demonstrated that mathematical methods, which have acted as manifestations of reality, can be used to assess a variety of numerical factors. The equal sign actually splits the number 12 into two separate pieces, despite the fact that the result is y + 6 = 12.

Here,

We can plug in some arbitrary values for y to find the corresponding values of x:

y x

0 0

1 1

-1 1

2 4

-2 4

3 9

-3 9

Therefore, the solutions to the equation are (0, 0), (1, 1), (-1, 1), (2, 4), (-2, 4), (3, 9), and (-3, 9).

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Answer:

Step-by-step explanation:

P(A) = 4/52 = 0.07692 which is bigger than 5%

5% = 0.05

0.07 is above 5% which is surprising.

The P(Spade A) = 1/52 = 0.01923 which is under 2% which meets your criteria.

Answer:

  x = 9 inches

Step-by-step explanation:

You want the value of x in the similar triangles shown.

Corresponding sides are proportional. This means the ratio of the horizontal side of the triangle to the vertical side is the same for both.

  6/4 = (6+x)/10

  15 = 6 +x . . . . . . . . multiply by 10

  9 = x . . . . . . . . . subtract 6

The measure of x is 9 inches.

__

Additional comment

You could also write the proportion ...

  6/4 = x/(10 -4)

  x = 36/4 = 9 . . . . . . . multiply by 6

You can see this if you draw a horizontal line through the figure at the top of the side marked 4 in.

<95141404393>

Answer:

35,694

35,981

35,102

Step-by-step explanation:

If you're using the hundreds place for comparison, it means the digits in higher places are the same, and that digits in the hundreds place are different.

This will be true for any 5-digit number of the form ...

 (3)(5)(not 7)(something)(something).

The numbers might have digits to the right of the decimal point, but those are irrelevant, as are the digits in the 10s and 1s places.