Question 16, plz explain

Carter is 25 years older than his brother

We should be aware that word problem involves expression that result in mathematical models or equations

the given parameters are

The sisters age = x

Carters age = (x-5)

The brothers age = y

Using these parameters to form an equation we have

x+(x-5)

Also we  know that cater is older than the brother, therefore

x+x-5=y

⇒ 2x5=y

Rearrange the equation, We have that

2x-y=5

We can still simplify this equation by making the value of x=0

The if x=0 then -y-5

This means that the brother is 5 years less than Carter.

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Answer:

the average weight  of one peach is 6.4 ounces

Step-by-step explanation:

10lb of peaches

16 ounces in a pound

10 x 16 = 160 ounces

divide 160 (ounces) by 25 (Peaches)  

= 6.4 ounces per peach

Domain F(x) = All real numbers and the Range F(x)  [ -2 ,  + ∞ ]

A domain is the set of values for which the given function is defined.

Range is the set of all values which the given function can output.

The curve points are

P₁ ( -1,5 , 0 )   Q ( 0. -2 ) and P₂ ( 1,5 , 0 )

We can see that P₁  and P₂ are symmetric around the y-axis, and point Q looks like a vertex so we can conclude the curve as

ax² + bx + c = y

The curve is a parabola

when x = 0      

y = -2    

then   c  = - 2

The equations we get,

a (-1.5)²  +  b (-1.5) + c = 0      

2.25a  - 1.5b - 2 = 0

a (1.5)²   +  b ( 1.5)  + c = 0    

2.25a + 1.5b -2 = 0

Adding these two equations

4.5a - 4 = 0

a =  4/4.5

The vertex is Q ( 0 , -2 )

x = - b/2a      

0 = - b/ 9      

b  =  0

Therefore the equation of the function :

ax² + c = 0

(4/4.5) x² - 2 = 0

Therefore, Domain F(x) = All real numbers and the Range F(x)  [ -2 ,  + ∞ ]

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Answer:

In a shorter explanation of what the guy above me is saying

The domain is all real numbers or A

The range is "all real numbers greater than or equal to –2" or B

Step-by-step explanation:

Answer:

225

Step-by-step explanation:

I hope this helps!

Some things you can do to help you decide on a bank include:

When trying to locate a bank that offers competitive returns on savings and favorable borrowing costs, consider comparing interest rates.

To gather additional information about certain banks, why not solicit feedback from acquaintances? People who have personal experience with a particular bank can provide valuable insights into their satisfaction levels with regards to customer service, for example.

Finally, taking the time to visit branch offices can offer valuable clues regarding convenience level and overall atmosphere.

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An order-preserving function is a function that preserves the order of its inputs. In other words, if x is less than y, then f(x) will be less than f(y).

The statement "f is order-preserving if x < y implies f(x) < f(y)" means that if x is less than y, then f(x) must be less than f(y). This is a necessary condition for a function to be order-preserving. However, it is not a sufficient condition. For example, the function f(x) = x^2 is not order-preserving, because 2 < 3, but f(2) = 4 > f(3) = 9.

In summary, order-preserving functions are useful in situations where we need to preserve the order of a set of data.

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Answer:

112

Step-by-step explanation:

80/5 = 16

16 each hour

16 ( 7 )

= 112

Hope this helps dude

The perimeter of the rectangular bedroom is 126 feet.

To find the perimeter of the rectangular bedroom, we need to add up the lengths of all four sides.

The distance between the points (14, 22) and (14, -10) is 22 - (-10) = 32 feet, since these two points lie on a vertical line.

The distance between the points (14, -10) and (-17, -10) is 14 - (-17) = 31 feet, since these two points lie on a horizontal line.

The distance between the points (-17, -10) and (-17, 22) is 22 - (-10) = 32 feet, since these two points lie on a vertical line.

The distance between the points (-17, 22) and (14, 22) is 14 - (-17) = 31 feet, since these two points lie on a horizontal line.

Therefore, the perimeter of the rectangular bedroom is;

P = 32 + 31 + 32 + 31

P = 126 feet.

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Answer:

it should be x ≥ -6

Step-by-step explanation:

Answer:

B {-6, -3, 3, 11}

Step-by-step explanation:

Step-by-step explanation:

there is something severely wrong with the problem definition.

when the Hypotenuse = 9, there is no 30-60-90 triangle with a leg = 6.

and when we are just focusing that this is a right-angled triangle with the Hypotenuse = 9, then 6 cannot be the longer leg.

it is also not clear what the solution is supposed to be. the 2nd leg ? the area ? the perimeter ? the height(s) ? ...

what ?

so, all I can do here is to show you why I said what I said :

30-60-90 triangle with Hypotenuse = 9

then the longer leg is opposite of the 60° angle and therefore sin(60)×9 = 7.794228634...

the shorter leg is opposite of the 30° angle and therefore sin(30)×9 = 0.5×9 = 4.5

a right-angled triangle with Hypotenuse = 9, one leg = 6 gives us per Pythagoras for the other leg

9² = 6² + leg²

81 = 36 + leg²

45 = leg²

leg = sqrt(45) = 6.708203932...

so, you see, as stated above, there is no leg with the length 6 in such a 30-60-90 triangle.

and in a more general right-angled triangle, if one leg = 6, then the other leg is actually longer.

therefore, there is everything wrong with the problem definition.

Answer:

Day 1: 8 pairs x $5.00/pair = $40.00

Day 2: 7 pairs x $5.00/pair = $35.00

Day 3: 15 pairs x $5.00/pair = $75.00

Day 4: 12 pairs x $5.00/pair = $60.00

Day 5: 31 pairs x $5.00/pair = $155.00

Day 6: 20 pairs x $5.00/pair = $100.00

Day 7: 35 pairs x $5.00/pair = $175.00

Total sales for the week: $40.00 + $35.00 + $75.00 + $60.00 + $155.00 + $100.00 + $175.00 = $605.00

Daily average of sales: $605.00 / 7 = $86.43

Total cost: 8 pairs + 7 pairs + 15 pairs + 12 pairs + 31 pairs + 20 pairs + 35 pairs = 128 pairs x $1.25/pair = $160.00

Profit: $605.00 - $160.00 = $445.00

So your total sales for the week were $605.00, your daily average of sales was $86.43, your total cost was $160.00 and your profit was $445.00

By Factorise the equations we get 2 points for each equation:

for a) we get (x+4),(x-1)

for b) we get (x-3),(x+1)

for c) we get (x+4),(x-2)

a) x^2 + 3x-4

for this equation we have to take factors of -4:

x^2+4x-x-4

Taking common in the equation we get:

x(x+4)-1(x-4)

After taking common, Now we get two points:(x+4,)(x-1)

b) x^2 +-2x-3

for this equation we have to take factors of -3:

x^2-3x+x-3

Taking common in the equation we get:

x(x-3)+1(x-3)

After taking common, Now we get two points:(x-3,)(x+1)

c) x^2 + 2x-8

for this equation we have to take factors of -8:

x^2+4x-2x-8

Taking common in the equation we get:

x(x+4)-2(x+4)

After taking common, Now we get two points:(x+4,)(x-2)

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"The correct question is":

Factorise the following:

a) x ^2+ 3x-4

b) x^2 - 2x - 3

c) x ^2+ 2x - 8

Answer:

The equation need to solve this problem is y=a(b)^x

a= the starting value

b= the rate of change

x= the time

to get the rate of change do the following:

add 1 to the percentage of change (only if value is growing)

subtract the percentage from one (only if value is decaying)

Since the printer is depreciating it is a decay.

The rate of change for this problem is showed below.

1-0.05

0.95 is the rate of change.

Below is the equation for the problem.

y=35000(0.95)^4 Work the problem.

Y=35000(0.814506250

Y=28507.71875 Since we are working with money we round to two decimal places.

The printer's value after four years is $28,507.72.

Answer :

False

Step-by-step step explanation:

False as the sides are not equal

sorry if wrong answer

Answer:

X=150

Step-by-step explanation:

30+x=180

30+(-30)+x=180+(-30)  Get x by itself by subtracting -30 to both sides.

x=180-30

x=150

Answer:

4/12

Simplest form= 1/3

Step-by-step explanation:

Hope this helps!

5/12-1/12 = 4/12

4/12 divided by 4 = 1/3

The simplest form is 1/3.

The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.

Given:

5/12- 1/12

Now, we have to subtract the fraction by focusing the numerator as

=5/12 - 1/12

=(5-1)/12

=4/12

=1/3

Hence, the simplest form is 1/3.

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By fraction method, 55/16 pounds of rice Belle purchased.

In math, what is a fraction?

Part of a whole is a fraction. In mathematics, the number is represented as a quotient, where the numerator and denominator are divided. Both are integers in a simple fraction.

                                 Whether it is in the numerator or denominator, a complex fraction contains a fraction. The numerator and denominator of a correct fraction are opposite each other.

  = 2 3/4 * 5/4

   = 5/4 * 2 + 5/4 *  3/4

   = 5/2 + 5/4 * 3/4

  = 5/2 + 15/ 4 * 4

  = 5/2 + 15/16

  common denominator and write the numerators above common denominator   =   5 *8/16 + 15/16

         = 40/16 + 15/16

         = 40 + 15/16

          = 55/16

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Answer:

8pm?  try that

Step-by-step explanation:

Answer:

21:00

Step-by-step explanation:

(30 - 10) / 2 = 10

7:00 minus 10 hours = 21:00

Answer:

C 136

Step-by-step explanation:

2×68= 136

...........

....

The slope of a line passing through two points (x1,y1) and (x2,y2) can be calculated using the formula:

slope = (y2-y1)/(x2-x1)

In this case, the two points are (8,-3) and (6,-7), so:

slope = (-7-(-3))/(6-8)

slope = (-7+3)/(-2)

slope = -4/(-2)

slope = 2

Therefore, the slope of the line passing through (8,-3) and (6,-7) is 2.

Answer:

2

Step-by-step explanation:

To find the slope from two points, we can use  the slope equation

m = ( y2-y1)/(x2-x1)

   = ( -7 - -3)/( 6 - 8)

   = (-7+3)/(6-8)

   = -4/-2

  = 2

Answer:

A) \(x = \dfrac{\log_6(46) + 6}{4}\)

B) \(x = \dfrac{\ln(11)}{2}\)

C) \(x = \dfrac{11}{5}\)

Step-by-step explanation:

A) We can solve for x by taking log base 6 of both sides.

\(\log_6(6^{4x-6}) = \log_6(46)\)

\(4x - 6 = \log_6(46)\)

\(4x = \log_6(46) + 6\)

\(\boxed{x = \dfrac{\log_6(46) + 6}{4}}\)

B) First, we have to divide both sides by 2.

\(2e^{2x} / 2= 22 / 2\)

\(e^{2x} = 11\)

Then, we can solve for x by taking the natural log (log base e) of both sides.

\(\ln(e^{2x})= \ln(11)\)

\(2x= \ln(11)\)

\(\boxed{x = \dfrac{\ln(11)}{2}}\)

C) We can solve for x by raising 2 to the power of each side.

\(2^{\log_2(5x + 5)} = 2^4\)

This cancels the log base 2 on the left.

\(5x + 5 = 16\)

\(5x = 11\)

\(\boxed{x = \dfrac{11}{5}}\)

Answer:AAS

Step-by-step explanation:

The sample space for this experiment is given as follows:

{RR, RB, RY, RG, BG, BB, BY, BG, YR, YB, YY, GG}.

A sample space is a set that contains all possible outcomes in the context of an experiment.

Then the sample space for this problem is composed by two letters, and the meaning of each letter is given as follows:

Hence, as an example, the outcome RB means that the color of the 3-color spinner was red and the color of the 4-color spinner was blue.

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3204:119=

=26,92

=27/10

Answer: 2.5

Step-by-step explanation: If you do 5/8 divided by 1/4 in the calculator it is 2.5.

A total of 7 Cyclists traveled more than 45 miles. 4 cyclists traveled 50 miles or more, and 3 cyclists traveled more than 54 1/4 miles.

A line plot is drawn with the cyclists' names plotted on the x-axis and their corresponding distances covered plotted on the y-axis.

The dots are then joined to form a line, revealing the relationship between the cyclist's names and their corresponding distance traveled. The cyclist names and their corresponding distances are given in the table below.

Name Distance (in miles) Gina 40 1/2 Rey 50 Faye 35 3/4 Mark 60 John 45 1/2 James 40 1/2 Albert 40 1/4 William 54 1/4 Nathan 40 Kate 40 1/4 Mary 60 Risa 40 Abi 35 3/4 Joan 50 1/2 1. The number of cyclists is 14. 2. The longest distance covered by a cyclist is 60 miles.

Mary and Mark both covered this distance.3. A total of 7 cyclists traveled less than 50 miles. 4. The most common distance traveled by cyclists is 40 1/2 miles. Gina, James, and Albert covered this distance. 5. 2 more cyclists traveled 45 miles than 55 1/4 miles. Only William traveled 55 1/4 miles, while John and James both traveled 45 1/2 miles.6.

A total of 7 cyclists traveled more than 45 miles. 4 cyclists traveled 50 miles or more, and 3 cyclists traveled more than 54 1/4 miles.

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Answer:

D. E(y) = ?0 + ?1x1 + ?2x12 + ?3x2 + ?4x1x2 + ?5x12x2

Step-by-step explanation:

Quantitative variables are measured in terms of numbers, and figures. Independent variables are those which are reason for change in other variables. Dummy variables are numerical that represents categorical data. The range of these variables is small and they can take on only two quantitative values.

Answer:

Part A = A

Part B - 308