Decide whether y is a function of x.
2x + y = 7

The amount of money she spends per year on utility bills for the air conditioner is; D: $176.40

We are told that;

Cost of running the air conditioner = 7 hours per day

Cost of running the air conditioner = 21 cents per hour = $0.21 per hr.

She runs it for four months at 7 hours per day. Thus;

Total number of hours for the 4 months = 7 × 30 × 4 = 840 hours

Total cost for the 4 months = $0.21 per hr. × 840 hours = $176.4

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Answer:

Answer is D) [tex]g(x)=(x+1)^2+3[/tex]

Step-by-step explanation:

[tex]f(x)=(x-h)^2+k[/tex]

h = shift left or right

k = shift up or down.

Given:

h = -1 , k = 3

Put that into the equation f(x)

[tex]f(x)=(x-(-1))^2+(3)\\f(x)=(x+1)^2+3[/tex]

An equation is formed of two equal expressions. The value of x that can satisfy this equation is 1.875.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The model represents the equation as given below,

[tex](6 \times -x)+(6 \times 1) = (2 \times x) + (9 \times -1)\\\\-6x+6=2x-9\\[/tex]

The value of x that can satisfy this equation can be written as,

[tex]-6x+6=2x-9\\\\-6x-2x=-9-6\\\\-8x = -15\\\\8x=15\\\\x = \dfrac{15}{8} = 1.875[/tex]

Hence, the value of x that can satisfy this equation is 1.875.

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Apply Pythagorean theorem

Answer:

you add up the number and then take that answer and multiply that. with the nuber alone

Step-by-step explanation:

add up 8 7 11 6. 12 and then multiply that answer by 11. how to do it..... 8+7+11+6+12 =? 11×?=

Answer:

3.2%

Step-by-step explanation:

I = prt

I = $13,536 - $12,000 = $1,536

1,536 = 12,000 × r × 4

r = 1,536/(12,000 × 4)

r = 0.032 = 3.2%

The angles shown are

PR is the bisector of angle P

So

Answer: Add 40 to both sides to collect like terms on each side of the equation

Step-by-step explanation: That's the first step

Answer:

3 and 8.

9 and 2/6.

Sorry if im wrong I havent been in 5th grade in along time.

Answer:

1. Is D. 3 and 8

2. is B 9 2/6

Step-by-step explanation:

Answer:

Below!

Step-by-step explanation:

1. Determining the y-intercept of the line:

The provided equation is in point slope form. To determine the slope and the y-intercept, we need to convert the equation to slope intercept form. Once it is converted to slope intercept form, the constant will be the y-intercept of the line. Start out by simplifying the distributive property on the R.H.S.

[tex]\implies y + 3 = 2 (x + 4)[/tex]

[tex]\implies y + 3 = (2x + 8)[/tex]

Now, open the parenthesis on the R.H.S

[tex]\implies y + 3 = 2x + 8[/tex]

If we take a look at the formula of slope intercept form (y = mx + b), we can see that "y" is isolated on the L.H.S. Thus, we need to subtract 3 both sides to isolate the y-variable.

[tex]\implies y + 3 - 3 = 2x + 8 - 3[/tex]

[tex]\implies y = 2x + 5[/tex]

We can see that the only constant in the equation is 5.

Therefore, 5 is the y-intercept.

2. Determining the slope of the line:

To determine the slope of the line, let's compare the formula with the equation obtained.

[tex]\implies (y = 2x + 5) \ = \ (y = mx + b)[/tex]

Thus, we obtain the following:

Thus, 2 is the slope of the line.

3. Plotting the line on the coordinate plane:

To graph the line on a coordinate plane, plot the y-intercept on the graph. The y-intercept is ALWAYS plotted on the y-axis.

Thus, the y-intercept plotted on graph is (0, 5).

Furthermore, plot a second point on the graph to draw a straight line through those points.

Determining the second point of the line:

If the slope of the line is 2, it means that the run (x) is 1 and the rise (y) is 2. Thus, we can add 1 to the x-coordinate of the y-intercept and 2 to the y-coordinate of the y-intercept.

Then, plot these points on the coordinate plane. Keep in mind that plot the x coordinate first, then the y-coordinate next. Once the coordinates are plotted, draw a line from the x-coordinate and another line from the y-coordinate. Finally, use your ruler and draw a line that passes through those two points. Your obtained graph is the graph of the line.

Comapre to slope intercept form y=mx+b

Answer:

16 hours

Step-by-step explanation:

Remaining gallons to be filled :

Time to fill 4,000 gallons

Answer:

Step-by-step explanation:

This is the answer

Answer:

B. Kevin

Step-by-step explanation:

First off, great job on answering the rest! Kevin worked the fastest because he has the lowest time spent per flyer. This means that for every flyer he spent time working on, he would complete it faster than Bill or Dante. This can also be estimated from the table given because although kevin only made 6, he spent only 24 minutes while Bill spent 56 minutes and only made 8. The smaller minutes spent in comparison to the amount of flyers made shows that Kevin is the fastest.

Answer:

3

Step-by-step explanation:

60/3=20

80/4=20

Adrianna can make 20 bouquets with 3 roses and 4 daisies each.

I'm pretty sure it's A and D, sorry if I'm wrong

Have a nice day!

Answer:

c and d

Step-by-step explanation:

5+6 - 4x is just 4x - 5 +6 but flipped

4x + 1 is the answer to 4x - 5 +6

Answer:

-28

Step-by-step explanation:

-2x-24

-2(2)-24

-4-24

-28

Answer:

12 players

Step-by-step explanation:

the team started off with $1386.50

subtract $1137.50 for the rented bus

[tex]1386.50 - 1137.50 = 249[/tex]

the team has $249 left for the meals and a meal costs $20.75 for each player.

249 ÷ 20.75 = 12

the team can bring 12 players to the tournament.

Answer:

The answer is B

Step-by-step explanation:

Answer: b

Step-by-step explanation:

Answer:

Step-by-step explanation:

.

Answer:

[tex]( \sqrt{24} ) ^{2} + 5 {}^{2} = 7 {}^{2} \\ [/tex]

Pythagoras theorem:

a²+b² = c²

where a, b and c are the adjacent, opposite sides and hypotenuse of a right angled triangle respectively.

Therefore, √24 , 5 and 7 are the sides of a right angled triangle.

Answer:

5. -6/4

6. 1/2

7. 12/15

8. -21/8

Step-by-step explanation:

Steps are in picture

Answer:

Step-by-step explanation:

Fraction division:

Use KCF method

K - Keep the first fraction

C - Change division to multiplcation

F - Flip the second fraction

[tex]5) \dfrac{-6}{11} \div \dfrac{4}{11}=\dfrac{-6}{11}*\dfrac{11}{4}[/tex]

                  [tex]= \dfrac{-3}{2}\\\\= -1\dfrac{1}{2}[/tex]

[tex]6) 1\dfrac{1}{6} \div 2\dfrac{1}{3}=\dfrac{7}{6} \div \dfrac{7}{3}[/tex]

                [tex]= \dfrac{7}{6}*\dfrac{3}{7}\\\\= \dfrac{1}{2}[/tex]

[tex]7) -4\dfrac{1}{5} \div -1\dfrac{3}{4}=\dfrac{-21}{5} \div \dfrac{-7}{4}[/tex]

                        [tex]=\dfrac{-21}{5}*\dfrac{4}{-7}\\\\= \dfrac{3}{5}*\dfrac{4}{1}\\\\=\dfrac{12}{5}\\\\=2\dfrac{2}{5}[/tex]

[tex]8) -6\dfrac{1}{8} \div \dfrac{7}{3}=\dfrac{-49}{8} \div \dfrac{7}{3}[/tex]

                    [tex]= \dfrac{-49}{8}*\dfrac{3}{7}\\\\= \dfrac{-7}{8}*\dfrac{3}{1}\\\\=\dfrac{-21}{8}\\\\=-2\dfrac{5}{8}[/tex]

The different parts of a circle are radius, diameter, chord, tangent, arc, centre, secant, sector. Write down the circle formulas. If “r” is the radius of the circle, then the formula for the area and the circumference of a circle are:

Answer:

13

Step-by-step explanation:

you use the system of equations...

:)

Answer:

Step-by-step explanation:

If the first cube lands on a 4, then the second cube must land on 4 5 or 6.

It cannot land on 5 because that would make it the sum odd. (4 + 5 = 9)

So that leaves 4 and 6. You cannot use 2 because 4 + 2 = 6. The sum must be greater than 6.

So we are left with 2 results. The second cube should be 4 or 6

The results are 4 and 4

and 4 and 6

The results of throwing 2 dice are 36 ways in all. Only 2 combinations work.

2/36 = 1/18

I'm not sure that this is correct but it is the way done by the person writing the question.

Answer:

7x(x+4)

Step-by-step explanation:

i got answer from mathay

Answer:

yes

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

4 weekdays and 2 weekends.

Step-by-step explanation:

6 days.

x = weekdays

y = weekends

7x = amount with weekdays

12y = amount with weekends

7x + 12y = 52, total

x + y = 6, amount of days

solve double variable equation

x = 6 - y, plug in to 1st equation

7(6 - y) + 12y = 52

42 - 7y + 12y = 52

5y = 10

y = 2 weekends

2 + x = 6

x = 4 weekdays

Answer:

6x^2-20x+16

Step-by-step explanation:

=(3x-4)(2x-5)

expand))

6x^2-23x+20

Answer:

Unfortunately, we can't do anything with 41 as it has no factors. Since [tex]3\sqrt{41}[/tex] is already simplified, try submitting that as your answer. If that doesn't work then try un-doing their steps and get rid of the 3:

[tex]3\sqrt{41}[/tex]

[tex]\sqrt{41(9)}[/tex]

[tex]\sqrt{369}[/tex]

Hope this helps!

Answer:

21

Step-by-step explanation:

The pattern goes +5 , -2

From 7 you add 5, and than from 12 you minus 2. If you keep this up you get the following numbers.

7,12,10,15,13,18,16,21,19,24,22,27,25,30...ect

21 is the 8th term in the patterns so thats your answer.

The eighth term in the given number pattern is 21. This is obtained by the logic, of adding 5 and subtracting 2.

These keep a relationship between a series of numbers. That relationship is given by logic.

Some of the examples are like Even number pattern, Odd number pattern, Fibonacci series, etc.

Given that the number pattern is 7,12,10,15,13....

In this pattern 7 is the first term

So, the logic is adding 5 and subtracting 2

7+5=12 (2nd term)

12-2=10 (third term)

10+5=15 (fourth term)

15-2=13 (fifth term)

13+5=18 (sixth term)

18-2=16 (seventh term)

16+5=21 (eighth term)

Therefore, the eighth term is 21.

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Answer:

Step-by-step explanation:

There is no pair of real numbers that have a total of -4 and a product of 5. The complex numbers (-2+i) and (-2-i) will meet your requirements.

__

If the numbers of interest are 'a' and 'b', they will be zeros of the quadratic whose factored form is ...

  (x -a)(x -b) = 0

Expanding that, we find an opportunity to use the given sum and product numbers:

  x² -(a+b)x +ab = 0

  x² -(-4)x +5 = 0

Rewriting this in vertex form gives ...

  (x² +4x +4) +1 = 0

  (x +2)² +1 = 0

We can find the values of x by subtracting 1 and taking the square root.

  (x +2)² = -1

  x +2 = ±√(-1) = ±i

  x = -2±i

The two numbers of interest are -2+i and -2-i.