In each family of functions, the function is the most basic function in the family

To change the story from first person to third person point of view, first-person pronouns like 'I', 'me', and 'we' should be changed to third-person pronouns such as 'they', 'he', 'she', or the friends' names.

To change the point of view of the story from first person to third person, it is necessary to change the pronouns used in the narration. If the original story used first-person pronouns such as I, me, and we, these would need to be changed to third-person pronouns such as they, he, she, or the friends' names to reflect the third person point of view.

For example, a sentence that originally reads "We went to the park after school" would change to "They went to the park after school" in the third person point of view. This shift enables the story to be told as if an outside observer is describing the events that happen to the group of friends, rather than the friends themselves narrating the story.

Multiply by 2:

2=u-2

4=u or u=4.

[tex]y=3-2x\\\\4x-y=4x-(3-2x)=4x-3+2x=6x-3\\\\\text{Put}\ x=-5+6i\ \text{to the expression}\ 6x-3:\\\\6(-5+6i)-3\qquad\text{use distributive property}\\\\=(6)(-5)+(6)(6i)\\\\=-30+36i\\\\Answer:\ \boxed{4x-y=-30+36i}[/tex]

Answer:

see below  PLEASE GIVE BRAINLIEST

Step-by-step explanation:

1 milk = 1 3/4 cup of flour

1 flour = 3/7 cup of cocoa powder

4 cups of milk = 1 3/4 x 4 = 7/4 x 4/1 = 7 cups of flour

7 cups of flour = 7 x 3/7 =  7/1 x 3/7 = 3 cups of cocoa powder

Kenneth needs 3 cups of cocoa powder for the chocolate cakes he is making with 4 cups of milk.

To find out how many cups of cocoa powder Kenneth needs for his chocolate cakes, we should first determine how much flour is necessary for 4 cups of milk and then how much cocoa powder is needed for that amount of flour. Kenneth uses one and 3/4 cups of flour for each cup of milk. So for 4 cups of milk, he needs:

1 ¾ cups of flour/cup of milk x 4 cups of milk = 7 cups of flour

Next, for every cup of flour, Kenneth needs 3/7 cup of cocoa powder. Therefore, to find out the total cups of cocoa powder for 7 cups of flour, the calculation is:

3/7 cups of cocoa powder/cup of flour x 7 cups of flour = 3 cups of cocoa powder

So Kenneth needs a total of 3 cups of cocoa powder for his cakes.

Answer:

c is the answer

Step-by-step explanation:

(3,-1) and (4,2)

find the slope y2-y1 over x2-x1

so 2 and -1 is 2+1 = 3 and

4-3 = 1

so 3/1 = 3 so it is c

Answer:

SO if f(x)= |x-5|+3 then F(2)= 6

Step-by-step explanation:

These signs |  | mean that it is an absolute value equation. SO that means any negative will automatically change to positive values and positive values will stay at positive values. You are supposed to substitute 2 in for x and if you do 2-5 then that is negative 3 but it changes to positive 3 and add three and then f(2)= 6

Final answer:

The equation given to calculate the distance between the trains is D = |262.5 - 120T|. To find the values of T for which D = 50, substitute 50 for D in the equation and solve for T. By solving the equations, we find that T is approximately 1.8 and 2.6.

Explanation:

The equation given to calculate the distance between the trains is D = |262.5 - 120T|, where T is the time after Train B departs. To find the values of T for which D = 50, substitute 50 for D in the equation and solve for T.

50 = |262.5 - 120T|

To remove the absolute value, we can split the equation into two cases:

Solving these equations will give us the values of T for which D = 50.

By solving both equations, we find that T is approximately 1.8 and 2.6, so the answer is A) 1.8 and 2.6.

8/6= 1 1/3

48/28= 1 4/7

7/9 is in simplest form

Answer:

Sometimes

Step-by-step explanation:

When you deal with a system of equations, there may be no solution; there may be one solution; there any positive integer number of solutions; there may be an infinite number of solutions.

The answer is : sometimes

Answer:

sometimes, I got it right on the quiz I just took :)

Step-by-step explanation:

Answer:

The correct option is A.

Step-by-step explanation:

The given inequality is

[tex]y\leq -2x[/tex]

The sign of inequality is ≤, it means the points on relation line lie in the solution set.

The related equation of the inequality is

[tex]y=-2x[/tex]

At x=0,

[tex]y=-2(0)=0[/tex]

At x=1,

[tex]y=-2(1)=-2[/tex]

Plot the points (0,0) and (1,-2) on a coordinate plane.

The sign of inequality is ≤, it means we have shade below the line.

The point (-2,4) and (3,-6) are in solution set because,

[tex]4\leq -2(2)\Rightarrow 4\leq 4[/tex]            (True)

[tex]-6\leq -2(3)\Rightarrow -6\leq -6[/tex]           (True)

Therefore option A is correct.

The points (1,2) and (1,3) are not in the solution set because,

[tex]2\leq -2(1)\Rightarrow 2\leq -2[/tex]            (False)

[tex]3\leq -2(1)\Rightarrow 3\leq -2[/tex]           (False)

Therefore options B,C and D are incorrect.

Answer:  (1,2) (-2,-4)

Step-by-step explanation:

Answer:

48 min  

Step-by-step explanation:

1 h = 60 min

It takes 60 min to go 65 mi.

Time = 52 × 60/65

Time = 48 min

Answer:

48min

Step-by-step explanation:

I used this question and got it right on my test. :)

Answer:

(x + 6)(x + 8)

Step-by-step explanation:

Multiply x^2 by 48.

48 * x^2 = [tex]48x^2[/tex]

Factor 48.

Find two factors which add to 14.

6 and 8.

Check

6 * 8 = 48

6 + 8 =14

Add x by 6

Add x by 8

Answer

(x + 6)(x + 8)

The factors of the given trinomial are (x+6) & (x+8)

If an algebraic expression has three non-zero terms or monomials, then it is called trinomial.

Example : [tex]x^{2} +x+1[/tex] , where [tex]x^{2} , x, 1[/tex] are three non-zero terms or monomials.

Given trinomial is [tex]x^{2} +14x+48[/tex]

First, we have to factorise 48 & find two factors whose addition is 14.

The factors are 6 & 8, since 6×8=48 & 6+8=14

Rewrite the terms : [tex]x^{2} +6x+8x+48[/tex]

Regroup terms into two proportional parts : [tex](x^{2} +6x)+(8x+48)[/tex]

Taking common from both parts : [tex]x(x+6)+8(x+6)[/tex]

Factor the expression : [tex](x+6)(x+8)[/tex]

∴ The factors are (x+6) & (x+8).

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Answer: Variant A

Step-by-step explanation:

Answer:

She poured 3 pints

Step-by-step explanation:

Answer:

Area of the floor of the classroom is 72 inch².

Step-by-step explanation:

We are given the dimensions of the rectangular floor as,

Length = 36 feet and Width = 32 feet

Since, the scale drawing have the length = 9 inches

This gives, the ratio of the actual length to the scale drawing length = [tex]\frac{36}{9}[/tex]

Thus, we have,

[tex]\frac{36}{9}=\frac{32}{x}[/tex], where x is the width in the scale drawing.

So, on solving,

[tex]x=\frac{32\times 9}{36}[/tex] i.e. x= 8 inches

Since, Area of the rectangle= Length × Width

Thus, area of the rectangular floor = 9 × 8 = 72 inch².

Thus, the area of the floor of the classroom is 72 inch².

The area of the floor of the scale drawing and the scale factor are 72 in² and 1/4 respectively

The scale factor = 9 / 36 = 1/4

The length of the model canbe calculated thus :

Model width = 32 × 1/4 = 8 inches

The Area of a rectangle can be calculated using the relation :

Area of floor = 8 inches × 9 inches = 72 inch²

Therefore, the area of the floor of the scale drawing is 72 in²

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Answer:

A motor running at 75 revolutions per second.

Step-by-step explanation:

Given statement: A motor running at 4500 RPM, revolutions per minute.

⇒ In one minute , a motor running at 4500 revolutions.

Use conversion:

[tex]1 min = 60 sec[/tex]

We have to calculate how many revolutions per second.

in 60 sec , a motor running at 4500 revolutions

then,

in 1 sec , a motor running at [tex]\frac{4500}{60} = 75[/tex] revolutions.

Therefore, a motor running at 75 RPS, revolution per second.

Answer:

Motor run in 1 second = 75 revolution.

Step-by-step explanation:

Given  : A motor running at 4500 RPM, revolutions per minute,

To find : how many revolutions per second.

Solution : We have given

Motor run in minute = 4500 revolution.

1 minute = 60 second .

Then  ,

Motor run in 60 second  = 4500 revolution.

Motor run in 1 second = [tex]\frac{4500}{60}[/tex] revolution.

Motor run in 1 second = [tex]\frac{450}{6}[/tex] revolution.

Motor run in 1 second = 75 revolution.

Therefore, Motor run in 1 second = 75 revolution.

Answer:

D) -2

Step-by-step explanation:

Answer:

D- -2

Hope this helps :)

Answer:

Correct choice is D (In a whole pepperoni pizza are 660 calories, in  in a whole ham and pineapple pizza are 580 calories).

Step-by-step explanation:

Let x calories be the number of calories a whole pepperoni pizza contains and y calories be the number of calories a whole ham and pineapple pizza contains.

1. If half a pepperoni pizza plus three fourths of a ham and pineapple pizza contains 765 calories, then

[tex]\dfrac{1}{2}x+\dfrac{3}{4}y=765.[/tex]

2. If 1/4 of a pepperoni pizza plus a whole ham and pineapple pizza contains 745 calories. then

[tex]\dfrac{1}{4}x+y=745.[/tex]

3. Multiply each equation by 4 and get a system of two equations:

[tex]\left\{\begin{array}{l}2x+3y=3060\\x+4y=2980\end{array}\right.[/tex]

From the second equation [tex]x=2980-4y[/tex], then

[tex]2(2980-4y)+3y=3060,\\ \\5960-8y+3y=3060,\\ \\-8y+3y=3060-5960,\\ \\-5y=-2900,\\ \\y=580.[/tex]

Then

[tex]x=2980-4\cdot 580=2980-2320=660.[/tex]

The whole pepperoni pizza contains 660 calories and the whole ham and pineapple pizza contains 580 calories. These values are obtained using a system of two equations obtained from the given statements.

Let's denote 'P' as the calories in a whole pepperoni pizza, and 'H' as the calories in a whole ham and pineapple pizza. We can then interpret the problem as two equations based on the given information.

First equation (from the first sentence in the question): 0.5P + 0.75H = 765.

Second equation (from the second sentence in the question): 0.25P + H = 745.

Now we just need to solve this system of equations. Multiply the second equation by two to match the 'P' terms in both equations: 0.5P + 2H = 1490.

Subtract the first equation from this new equation: 0.5P + 2H - (0.5P + 0.75H)= 1490 - 765. This simplifies to: 1.25H = 725, meaning H = 580 calories.

We can then substitute H = 580 into the first original equation to solve for P: 0.5P + 0.75*580 = 765. Solving this gives P = 660 calories.

So, a whole pepperoni pizza contains 660 calories, and a whole ham and pineapple pizza contains 580 calories. This corresponds to the option d) in the given list.

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The range of a function is the set of y-values the function contains. Thus, in this case, the range would be the set of values under the y column, as this represents the y-values the function produces.

We see "2, 3, 4, 2" under the y column. Since we are establishing a set of values, we are going include all the values under the column, which includes 2, 3, and 4. We are not going to repeat the second 2 because it isn't necessary, as 2 is already in the set thus.

Thus, the final set for the range of the function is {2, 3, 4}, or Choice A.

Answer:

158

Step-by-step explanation:

Simplify the following:

2×5×3 + 2×5×8 + 2×3×8

5×3 = 15:

2×15 + 2×5×8 + 2×3×8

5×8 = 40:

2×15 + 2×40 + 2×3×8

3×8 = 24:

2×15 + 2×40 + 2×24

2×15 = 30:

30 + 2×40 + 2×24

2×40 = 80:

30 + 80 + 2×24

2×24 = 48:

30 + 80 + 48

| 8 | 0

| 4 | 8

+ | 3 | 0

1 | 5 | 8:

Answer:  158

Kaylee is using the formula for the surface area of a rectangular prism. She calculates it as 2(5×3) + 2(5×8) + 2(3×8), which adds up to 158 square inches, representing the total surface area of the prism.

Kaylee is calculating the surface area of a rectangular prism using a mathematical formula. The formula comprises three terms, each representing the area of a pair of opposite faces. Let's break down the calculation:

When Kaylee calculates these areas and adds them together, she gets:

2(5×3) + 2(5×8) + 2(3×8) = 2(15) + 2(40) + 2(24) = 30 + 80 + 48 = 158 square inches.

Thus, the total surface area of the rectangular prism is 158 square inches.

Answer:

(-0.8)×4=(-3.2)

(-3.2)×4=(-12.8)

(-12.8)×4=(-51.2)

(-51.2)×4=(-204.8)

anser is -204.8

Step-by-step explanation:

Answer:

y = -8

Step-by-step explanation:

The domain is the x values so x=-3

y = x-5

Substituting x=-3

y = -3-5

y=-8

Step-by-step explanation:

[tex]\sf \longmapsto{y = - 5 + - 3} \\ \\ \sf \longmapsto{y = - 5 + - 3 = \red{ - 8}} \\ \\ \sf \longmapsto \boxed{ \sf\: y = - 8}[/tex]

When adding like terms, they simply add together:

6y + 3y = 9y

The rule of adding two powers are as follows:

[tex]x^{a} + x^{b} = x^{a+b}[/tex]

So:

[tex]y^{4}  + y^{4} = y^{4 + 4} = y^{8}[/tex]

So 6y⁴ + 3y⁴ = 9y⁸

Answer:

Moira's solution is..... incorrect

6y4+3y4 is the same as...... (6*y^4) + (3*y^4)

9y8 is the same as...... 9y*y*y*y*y*y*y*y

6y4+3y4 simplifies to..... 9y^4

Answer:

$11535.60 will be in his account when he is 40 years old

Step-by-step explanation:

Jackson deposited $5,000 at 3.8% interest, compounded continuously, when he was 18 years old

Time period is from 18 years to 40 years

t= 40 - 18 = 22

For compounding continuously we use formula

[tex]A= Pe^{rt}[/tex]

P = initial amount deposited = 5000

r= rate of interest = 3.8% = 0.038

t= time period = 22 years

now plug in all the values and find out A final amount

[tex]A= 5000e^{0.038*22}[/tex]

[tex]A= 5000e^{0.836}[/tex]

A= 11535.60

Answer:

The correct answer is B) x equals quantity of 2 plus or minus 2i square root of 2 all over 3.

Step-by-step explanation:

We are given the following quadratic equation:

[tex]-3x^2-4x-4 = 0[/tex]

Since, it cannot be factorized so we will use the quadratic formula:

x = [tex]\frac{-b+-\sqrt{b^2-4ac} }{2a}[/tex]

Substituting in the values of a, b and c in the above formula to get:

x = [tex]\frac{-(-4)+-\sqrt{(-4)^2}-4(-3)(-4) }{2(-3)}[/tex]

x = [tex]-\frac{2}{3} +i \frac{2\sqrt{2} }{3}[/tex], x = [tex]-\frac{2}{3} -i \frac{2\sqrt{2} }{3}[/tex]

Therefore, the correct answer option is B) x equals quantity of 2 plus or minus 2i square root of 2 all over 3.

Answer:

Option A is correct.

d = 50t shows the relationship between d and t

Step-by-step explanation:

Point slope form: For a point [tex](x_1, y_1)[/tex] and a slope m, the equation of the line can be written as

[tex]y-y_1=m(x-x_1)[/tex] ......[1], where m is the slope of the line.

Here, d represents the total distance ( in miles) and t represents the time (in hours).

From the given table:

Consider any two points (1, 50) and (2, 100).

Calculate slope:

Slope(m) =  [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

               = [tex]\frac{100-50}{2-1}=\frac{50}{1} =50[/tex]

⇒[tex]m= 50[/tex]

Now, by point slope intercept form:

Substitute  m= 50 and (1, 50) in [1]

we have;

[tex]y -50 = 50(x-1)[/tex]

Using distributive property: [tex]a\cdot(b+c) = a\cdot b+ a\cdot c[/tex]

y -50 = 50x -50

Add both sides 50 we get;

y -50+ 50= 50x -50 + 50

Simplify:

[tex]y =50x[/tex]

∵y = d represents the distance and x = t represents the time;

then, our equation become:

[tex]d = 50t[/tex]

The equation representing the relationship between the distance covered (d) and time (t) in the given situation is d = 50t. This signifies that the distance covered is equal to 50 times the time.

In the given data, we observe that the total distance (d) travelled by the car in an hour is always 50 miles. This means that every hour, the car covers a distance of 50 miles.

Therefore, the relationship between the distance covered (d) and time (t) can represent this situation is d = 50t.

This signifies that 'd', the distance covered, is equal to 50 times 't', the time in hours. For example, when t=1 hour, d = 50*1 = 50 miles. Similarly, when t=2 hours, d = 50*2 = 100 miles. This continues accordingly.

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Answer:

The answer is C (4,-3)

Step-by-step explanation:

When you reflect over the x axis that means you flip the image to the opposite side over the x (horizontal) line. So if the first line is (4,3) then the reflection is (4,-3)

[tex]\frac{2}{7}y + 5 = -9\ /\cdot7\\2y+35=-63\\2y=-63-35\\2y=-98\ /:2\\y=-49\\ \\ \\\frac{2}{7}\cdot(-49)+5=-14+5=-9[/tex]