Last year, Gareth paid £e each month for electricity. This year his monthly payment went down. His total bill for the first 5 months is given by the expression £5e – 35. Factorize 5e – 35.

Answer:

Not a function.

Step-by-step explanation:

The vertical line test is when you run a line -vertical or AKA: up and down- through the path of a graph if the line runs through the path more than once, it has failed the vertical line test, and therefore is not a function. The graph in question fails this test, and cannot be a function.

Answer:

(7) n = ⁴/₃

(8) x = -5

(9) d = ³/₂

(10) v = -20

Step-by-step explanation:

(7) [tex]n-\frac{8}{9} = \frac{4}{9}[/tex]

[tex]n-\frac{8}{9} = \frac{4}{9} \\\\Collect \ similar \ terms \ together\\\\n = \frac{4}{9} + \frac{8}{9} \\\\n = \frac{4+8}{9} \\\\n = \frac{12}{9} \\\\n = \frac{4}{3}[/tex]

(8)

[tex]\frac{3}{2} + \ x = -\frac{7}{2}\\\\collect \ similar \ terms \ together\\\\x = -\frac{7}{2} -\frac{3}{2} \\\\x = \frac{-7-3}{2} \\\\x = \frac{-10}{2} \\\\x = -5[/tex]

(9)

[tex]\frac{6}{5} = \frac{d}{(\frac{5}{4} )} \\\\cross \ and \ multiply\\\\5d = 6(\frac{5}{4} )\\\\5d = \frac{30}{4} \\\\d = \frac{30}{4\times 5} \\\\d = \frac{30}{20} \\\\d = \frac{3}{2} \\\\d = 1\frac{1}{2}[/tex]

(10)

[tex]-\frac{1}{8} v = \frac{5}{2} \\\\\frac{-v}{8} = \frac{5}{2} \\\\cross \ and \ multiply\\\\-2v = 40\\\\-v = \frac{40}{2} \\\\-v = 20\\\\v = -20[/tex]

Answer:

The answer is (x,y)=(-3,-2)

Step-by-step explanation:

I used the comparison method because I dont know what type of method you needed, sorry. The methods I know would be: the Comparison Method (what I used), the Substitution Method, Elimination Method,Inverse Matrix Method, Cramer's Rule, and the Gauss-Jordan Method.

You can also rewrite this equation to 3x-y=-7 and x-y=-1.

I'm sorry, I dont know what kind of answer you're looking for. I really hope this helps.

Answer:

0.164 = 16.4% probability that at least one color will be missing from the 10 selected balls.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Determine the probability that at least one color will be missing from the 10 selected balls.

Red missing:

Each time, there are 55 + 25 = 80 non-red balls, out of 100. So, in each of the 10 trials, 80% = 0.8 probability of not picking a red ball. The probability that no red ball is picked is given by:

(0.8)^10 = 0.1074

White missing:

55 + 20 = 75 non-white balls, out of 100, in each trial. The probability that no white ball is picked is given by:

(0.75)^10 = 0.0563

Blue missing:

45 non-blue balls, out of 100. The probability that no blue ball is picked is given by:

(0.45)^10 = 0.0003

Total:

0.1074 + 0.0563 + 0.0003 = 0.164

0.164 = 16.4% probability that at least one color will be missing from the 10 selected balls.

Answer:

$96

Step-by-step explanation:

Answer:

The final price after deducting the percent of discount would be $24.

Answer: C

Step-by-step explanation: you just multiple 40 by 4

Answer:

C) 160

Step-by-step explanation:

multiply each side by 40

the 40 from x/40 is eliminated and then you are left with x = 160

Answer:

The triangle is 1, since 10 - 1 is 9.

Hope that helps!

Step-by-step explanation:

Answer:

Check x values and Y values along axis'.  It does match

Step-by-step explanation:

Answer:

English Answer: No object can resist an irresistible force. No force can move an immovable object. So if an immovable object meets an irresistible force it will move and not move.English:

Spanish Answer: Ningún objeto puede resistir una fuerza irresistible. Ninguna fuerza puede mover un objeto inamovible. Entonces, si un objeto inamovible se encuentra con una fuerza irresistible, se moverá y no se moverá.

Step-by-step explanation:

¿Qué pasaría si una fuerza imparable chocara contra un objeto inamovible? Las respuestas comunes a esta paradoja recurren a la lógica y a la semántica.

Lógica: Si existe una cosa tal como una fuerza imparable, entonces no puede existir un objeto inamovible y viceversa. Es lógicamente imposible la existencia de los objetos (una fuerza imparable y un objeto inamovible) en un mismo universo al mismo tiempo.

Semántica: Si existe una cosa tal como una fuerza imparable, entonces hablar de un objeto inamovible no tendría sentido en ese contexto y viceversa, con lo cual el asunto vendría a ser algo así como preguntar, por ejemplo, por un triángulo de cuatro lados.

My answer: i need a graph

Answer:

5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

2 raised to 4 =2×2×2×2 =16. ; 3 raised to 2 =3×3=9.

=16-9-2

=5

That's it , Very easy

Answer: 3

Step-by-step explanation:

Answer:

30.9 square cm

Step-by-step explanation:

subtract area of circle from area of square

Area of square = 12² or 144  

(each side is twice the radius)

Area of circle = 6²π or 113.1

Answer:

436 students

Step-by-step explanation:

Original number of students enrolled = 200students

% increase = 118%

Increment = 118% of 200

Increment = 1.18 * 200

Increment = 236

The year enrollment = 200 + 236

The year enrollment = 436 students

Answer:

the answer is x=3

Step-by-step explanation:

-3x=1-7

-3x=-6

-x=-6+3

-x=-3

x=3

Answer:

x xjjkdjbdnnxuhxnmdujxnxlxuxbx

Answer:

b

Step-by-step explanation:

Answer:

x=30

Step-by-step explanation:

600/20=30

Answer:

Step-by-step explanation:

radius r of cylinder = 7

circumference of cylinder = 2πr = 14π meters.

lateral area of cylinder = 14π×11 = 154π m².  This is represented by the rectangle.

area of top = πr² = 49π m²

area of bottom = area of top = 49π m²

total surface area = lateral area + 2(top area) = 154π + 2×49π = 252π ≅ 792 m²

Answer:

=29/6

Step-by-step explanation:

4+3/6+2/6

=4+1/2+2/6

=9/2+2/6

=9/2+1/3

=29/6

Answer:

4 5/6 = 29/6 = 4.833333333

Step-by-step explanation:

4+3/6+2/6

Reduce the fraction 3/6 to lowest terms by extracting and canceling out 3.

4+1/2+2/6

Convert 4 to fraction 8/2

8/2+1/2+2/6

Since 8/2 and 1/2 have the same denominator, add them by adding their numerators.

8+1 / 2 + 2/6

Add 8 and 1 to get 9.

9/2 + 2/6

Reduce the fraction 2/6 to lowest terms by extracting and canceling out 2.

9/2 + 1/3

Least common multiple of 2 and 3 is 6. Convert 9/2 and 1/3 to fractions with denominator 6.

27/6 + 2/6

Since 27/6 and 2/6 have the same denominator, add them by adding their numerators.

27+2 / 6

Add 27 and 2 to get 29.

29/6  

Answer:

2.4 hours

Step-by-step explanation:

Answer:

10% OF a 24 hour day is 2.4 hours

Step-by-step explanation:

10x24/100= 2.4

Answer:

x²-10x+25

Step-by-step explanation:

expand the expression

(x-5)²

(x-5)(x-5) distribute

x²-5x-5x+25

combine like terms

x²-10x+25

if you get x^2-25 then you're only squaring the x and 5, you have to square the whole equation (x-5)(x-5) is doing (x-5)^2. for example, if you just had (5)^2 you would take the whole "equation" which is 5 and times that equation by itself.

Answer:

Step-by-step explanation:

Answer:

244

Step-by-step explanation:

We will see that the evaluated expression is equal to 244.

Evaluating an expression just means that we need to replace the variables by the wanted numbers.

Here we need to evaluate:

2(s+t)³-6

In t = 2 and s = 3, replacing these in the expression we get:

2(3+2)³- 6 = 2*(5)³ - 6 = 2*125 - 6 = 244

So the evaluated expression is equal to 244.

If you want to learn more about evaluating, you can read:

https://brainly.com/question/4344214

The 25% of the shaded checker board has pieces on it.

To check that, we need to solve the expression below:

Percent = 100%*(# shaded squares with pieces)/(total # of shaded squares)

There are a total of 32 shaded squares, and in 8 of them we can see pieces, then we can replace these values in the formula above to get:

Percent = 100%*(8/32) = 25%

That is the percent of the shaded checker that has pieces.

Learn more about percentages at:

https://brainly.com/question/843074

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