Which property of equality was used to solve this equation?
–5x=4
4
I=
OA.
addition property of equality
OB.
subtraction property of equality
OC. multiplication property of equality
OD
division property of equality

In this question, the profit of the restaurant after t months is given by a polynomial function. To find when it begins to show a profit, we find the numerical values of the function for t, and it shows a profit when [tex]t > 0[/tex]

Profit after t months:

[tex]P(t) = t^4 - 10t^3 + 28t^2 - 24t[/tex]

0 months:

This is P(0). So

[tex]P(0) = 0^4 - 10*0^3 + 28*0^2 - 24*0 = 0[/tex]

1 month:

This is P(1). So

[tex]P(1) = 1^4 - 10*1^3 + 28*1^2 - 24*1 = -5[/tex]

2 months:

This is P(2). So

[tex]P(2) = 2^4 - 10*2^3 + 28*2^2 - 24*2 = 0[/tex]

3 months:

This is P(3). So

[tex]P(3) = 3^4 - 10*3^3 + 28*3^2 - 24*3 = -9[/tex]

4 months:

This is P(4). So

[tex]P(4) = 4^4 - 10*4^3 + 28*4^2 - 24*4 = -32[/tex]

5 months:

This is P(5). So

[tex]P(5) = 5^4 - 10*5^3 + 28*5^2 - 24*5 = -45[/tex]

6 months:

This is P(6). So

[tex]P(6) = 6^4 - 10*6^3 + 28*6^2 - 24*6 = 0[/tex]

7 months:

This is `P(7). So

[tex]P(7) = 7^4 - 10*7^3 + 28*7^2 - 24*7 = 175[/tex]

After 7 months it shows profit, so it starts showing profit on the 6th month, and thus, the correct answer is given by option D.

For another example of a function involving numeric value, you can check https://brainly.com/question/24231879

Answer:

D

Step-by-step explanation:

As the counter clockwise rule is A(x,y) becomes A'(-y,x).

So (1, -6) becomes (6, 1)

Hope it helps you

Answer:

Population - - > Sampling Frame - - > Sample - - > Individual being surveyed

Step-by-step explanation:

Population is the largest as they include all units or subject of interest in a particular study or experiment. Next is the sampling frame which is the a list or compilation of all subjects which can form part of a sample. It is a compilation of all elements in the population from which the sample can be drawn.

The sample is a subset of the population of population, usually selected at random and it is representative of the population.

The individual surveyed represents a single subject or observation from the chosen sample.

Answer:

D

Step-by-step explanation:

because the new number is changing to a new and all old is ready.

Answer:

first do:

60mph * 4 hours= 240mi

Let D = the distance the passenger train has to  

travel to catch the freight train

Start a stopwatch when the passenger train leaves

Let t = the time on the stopwatch when they meet

Equation for freight train:

d-240=60t

Equation for passenger train:

d=100t

all together:

100t-240=60t

we can do 100t-60t because they both have (t)= 40t

40t=240 *now divide 240 by 40= 6

THEN do:

D= 100mph x 6= 600mi

They will meet 600 mi from the station

to check:

d-240=60t x 6

600-240= 360

60 x 6= 360

360=360

Answer: 29152332 ≡ 0 (mod 3)

Step-by-step explanation:

In modular arithmetic, there is the form a ≡ b (mod m) where b is the remainder.

To solve this problem, we want to divide 29152332 by 3 and find the remainder.

29152332 ÷ 3 = 9717444

Since we get an integer with no remainder, we know the answer is 29152332 ≡ 0 (mod 3).

Step-by-step explanation:

b varies as √c

b=kc

divide both side by c

k=b/c

k=100/4

k=25

the equation is:

25=b/c

Answer:

12

Step-by-step explanation:

Base area = 3×4/2 = 6 ft²

height = 6 ft

volume = 6×6/3 = 12 ft³

Answered by GAUTHMATH

Answer:

rrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr====yzzzdccccccccccccc

Step-by-step explanation:

Answer:

V = 56 cm^3

Step-by-step explanation:

Volume is given by

V = l*w*h where l is length w is width and h is height

V = 7*4*2

V = 56 cm^3

Answer:56

Step-by-step explanation:

The formula for a rectangular prism is V=whl

V=(7)(4)(2)

7 times 4 is 28

28 times 2 is 56

Answer:

9/16xy

Step-by-step explanation:

Multiply through by 3/4

(3/4xy) × (3/4)

numerator =(3×3) = 9

denominator = (4×4) = 16

Simplifying = 9/16xy

Answer:

Step-by-step explanation:

The value of x or the missing length is 16 units after applying the Pythagoras theorem option (C) is correct.

The square of the hypotenuse in a right-angled triangle is equal to the sum of the squares of the other two sides.

It is given that:

A right-angle triangle is shown in the picture with dimensions.

A right-angle triangle is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.

It is required to find the value of x.

To find the value of the x we can use Pythagoras theorem:

Using Pythagoras theorem:

hypotenuse² = perpendicular² + base²

Let the red line length is y

(15)² = 9² + (y)²

y = 144 units

x = 144/9

x = 16 units

Thus, the value of x or the missing length is 16 units after applying the Pythagoras theorem option (C) is correct.

Learn more about Pythagoras' theorem here:

https://brainly.com/question/21511305

#SPJ5

Answer:

97.5% of the students passed this test.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean of 78, standard deviation of 9.

What percentage of the  students passed this test?

Above 60.

60 = 78 - 2*9

So 60 is two standard deviations below the mean.

The normal distribution is symmetric, which means that 50% of the measures are above the mean and 50% are below.

Of the 50% above, all passed.

Of the 50% below, 95%(within 2 standard deviations of the mean) passed.

So

[tex]p = 0.5 + 0.5*0.95 = 0.975[/tex]

97.5% of the students passed this test.

Answer:

-95

Step-by-step explanation:

4+9(3+11)-15²

So, the order of operations is PEMDAS. The first thing is "P" for Parenthesis, so you would do whatever is in the parenthesis first.

3+11= 14

Now, the expression is 4 + 9 (14) - 15²

The next letter is "E" for Exponents. so the 15² has an exponent, so you do    15 x 15.

4+9(14)-225

Next is "M" for Multiplication. A number next to a parenthesis can mean multiplication as well. So, you do 9 × 14 = 126

Now, it's 4 + 126 - 225

Since there is only addition and subtraction left, you go left to right.

4 + 126 = 130

130 - 225 = -95

Hope this helps !!

-Ketifa

Hey there!

[tex]\large\textsf{Do PEMDAS to solve!}\\\\\\\large\textsf{PEMDAS simply MEANS....}\\\\\\\large\textsf{Parentheses}\\\\\large\textsf{Exponents}\\\\\large\textsf{Multiplication}\\\\\large\textsf{Division}\\\\\large\textsf{Addition}\\\\\large\textsf{Subtraction}[/tex]

[tex]\large\textsf{4 + 9(3 + 11) - 15}^\mathsf{2}[/tex]

[tex]\large\textsf{3 + 11 = \bf 14}[/tex]

[tex]\large\textsf{= 4 + 9(14) - 15}^\mathsf{2}[/tex]

[tex]\large\textsf{9(14) = \bf 126}[/tex]

[tex]\large\textsf{= 4 + 126 - 15}^\mathsf{2}[/tex]

[tex]\large\textsf{4 + 126 = \bf 130}[/tex]

[tex]\large\textsf{= 130 - 15}^\mathsf{2}[/tex]

[tex]\large\textsf{15}^\mathsf{2}\\\large\textsf{= 15}\times \large\textsf{15} \\\large\textsf{= \bf 225}[/tex]

[tex]\large\textsf{= 130 - 225}[/tex]

[tex]\large\textsf{= \bf -95}[/tex]

[tex]\boxed{\boxed{\huge\textsf{Answer: \bf -95}}}\huge\checkmark[/tex]

[tex]\huge\textsf{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

Yes, because 1 & 2 have to be the same

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

Supplementary means 180 degree.

∠1 + ∠3 = 180 ----> eq. 1

∠2 and ∠3 are linear pair angles which are also supplementary.

∠2 + ∠3 = 180 ----> eq. 2

∠3 = 180 - ∠1 ----> eq. 3

( from eq. 1 )

∠3 = 180 - ∠2 ----> eq. 4

( from eq. 2 )

From, eq. 3 and eq. 4,

180 - ∠1 = 180 - ∠2

Subtract 180 on both sides.

180 - 180 - ∠1 = 180 - 180 - ∠2

- ∠1 = - ∠2

Multiply - 1 on both sides,

∠1 = ∠2

Since,

∠1 = ∠2

Sides opposite to them also equal

So, AC = BC

If any two sides in a triangle is equal, then the triangle is an isosceles triangle.

Therefore,

Δ ABC is isosceles.

Answer:

i and iii are not examples of inverse variation.

Step-by-step explanation:

Inverse variation between two variables, y and x, is written as:

y = k/x

This means that, as the absolute value of x increases, the absolute value of y decreases.

So we need to have the variable in the denominator.

Let's analyze the given options:

i) f(x) = k*x

Here, x is not in the denominator, this is a direct variation, so this is not an example of inverse variation.

ii) f(x) = 2k/x

Here we can see that the variable x is in the denominator, thus, this is an inverse variation.

iii) f(x) = -k*x/z

We can see that we have z in the denominator, but you can see that the variable is x, and x is in the numerator, thus, this is not an example of inverse variation.

We can conclude that:

f(x) = kx

and

f(x) =-kx/z

Are not examples of inverse variation.

Answer:

The 3 cyclists will meet at the starting point again after 150 minutes.

Step-by-step explanation:

Since they start at the same point but then take different times to each route, then to find the first time they will each meet at the starting point, we have to find the lowest common multiple (LCM).

Let's use prime factorization to get it.

Prime factorization of 10 = 2 × 5

Prime factorization of 15 = 3 × 5

Prime factorization of 25 = 5 × 5

Thus,super set = 2, 3, 5, 5

Thus,LCM = 2 × 3 × 5 × 5 = 150

Thus,the 3 cyclists will meet at the starting point again after 150 minutes.

Answer:

The events are independent and are not mutually exclusive.

Step-by-step explanation:

Two events A and B are independent if the outcome of each of them does not affect the outcome of the other.

And two events are mutually exclusive if these can't occur at the same time.

Here the events are:

a = rolling a 4 on the first die

b = rolling a 3 on the second die.

Becuase, these are number cubes, we know that the outcome of one die has no impact in the outcome of the other die.

And because each outcome is on a different die, we can conclude that these events are independent.

(rolling a 4 in the first die does not change the probability of getting a 3 when we roll the second die).

Now, the events are mutually exclusive?

No, we can roll both dices and get a 3 in the first one and a 4 in the second one, so these events can happen in the same time.

Answer:

YES.

Step-by-step explanation:

The event rolling a number '4' and the event rolling a number '3' are mutually exclusive events because both of them cannot occur at the same time.

Just took quick check

Answer:

720

Step-by-step explanation:

Using the equation given

[tex]\frac{6!}{(6-6)!}=\frac{6!}{0!}=\frac{6!}{1}=720[/tex]

Answer:

f(f(-1)) = 0

Step-by-step explanation:

Ok I'm assuming that's supposed to be a chart of some kind.  So first, you have to find what f(-1) is according to the chart.  

According to the chart, if x = -1, then f(-1) is -5

Now comes the next part of the equation.  So you need to find f(-5)

-5 was already founded by f(-1) bc it's first in the parantheses.

f(-1) is -5

so we need to find f(-5)

According to the chart f(-5) is 0

So ur final answer is gonna be 0

3x = 22-7

3x= 15

x= 15/3

x=5

Answer:

x=5

Step-by-step explanation:

3x+7=22

subtract 7 from both sides

3x=22-7

3x=15

divide both sides by 3

3x/3 = 15/3

x=5

Answer:

A

Step-by-step explanation:

From what we have , it is expected that the parent function is a v-shaped graph that starts from the origin

The expected equation parent function should be;

y = |x|

Now, moving on, the transformed function is 1/2 of the parent function

This shows a direct compression of the initial partner function

So, it is expected that the transformed function is more compressed compared to the initial parent function

so, the correct choice of answer here is first option

The Answer is Graph D

You can see the graph number on the top left corner of each multiple-choice graph.

Answer:

You need to know that pairs of two angles are congruent and the pair of sides adjacent to one of the given angles are congruent

9514 1404 393

Answer:

  20 square units

Step-by-step explanation:

The area is given by the formula ...

  A = bh

where b is the base of the parallelogram, and h is the perpendicular distance between the parallel bases. Using the numbers from the figure, we have ...

  A = 5·4 = 20 . . . . square units

_____

Additional comment

You will notice this is the same formula as is used for a rectangle. You can consider the parallelogram to have the same area as a rectangle of these dimensions if you look at what happens when you cut the right triangle from the right end and add it to the left end. The result is a rectangle 5 units wide and 4 units high.

The same formula applies even if the skew is so great that the bases do not overlap. (That much skew would not result in a triangle of the kind shown in this diagram.)

Answer:

y=5 x=-2

Step-by-step explanation:

the easiest answer would be a vertical or . horizontal line

Answer:

The solution will go from NO common solutions to infinite solutions between the 2 parallel lines.

Step-by-step explanation:

In the original case all solutions for equation 1 are above line 1 (y >) and all solutions for equation 2 are below line 2 (y <), so there is no overlap and therefore no common solutions. When reversed, all solutions for line 1 are below line 1 and all solutions for line 2 are above line 2. So the overlap is everything between the two lines.

Answer:

The shaded area would reverse on both inequalities.  

The graphs do not overlap until the signs are reversed.  

There are an infinite number of solutions in the system once the signs are reversed.

There are no solutions before they are reversed.

Step-by-step explanation:

edge 2021

Step-by-step explanation:

the answer is in the graph above

use DESMOS app it helps

Answer: hello your question is poorly written below is the complete question

Let L be the set of all lines in XY plane and R be the relation in L defined as R = {(L1, L2): L1 is parallel to L2}. Show that R is an equivalence relation. Find the set of all lines related to the line y = 2x + 4.

answer:

a ) R is equivalence

b) y = 2x + C

Step-by-step explanation:

a) Prove that R is an equivalence relation

Every line is seen to be parallel to itself ( i.e. reflexive ) also

L1 is parallel to L2 and L2 is as well parallel to L1 ( i.e. symmetric ) also

If we presume L1 is parallel to L2 and L2 is also parallel to L3 hence we can also conclude that L1 is parallel to L3 as well ( i.e. transitive )

with these conditions we can conclude that ; R is equivalence

b) show the set of all lines related to y = 2x + 4

The set of all line that is related to y = 2x + 4

y = 2x + C

because parallel lines have the same slopes.

Answer:

G 4 cm

Step-by-step explanation:

28/7 = 4, so the scale factor is 4. Therefore, if AC is 16, and triangle ABC is the bigger triangle, then divide it by 4 to get 4 cm for the smaller triangle DEF.