Otis has $6.72, and he wants to buy some pencils that cost $1.12 each. How many pencils can he buy?
4 pencils
5 pencils
6 pencils
7 pencils

Answer:

1 = -x

Step-by-step explanation:

group like terms together so

this 5 + 4x - 7 = 4x -3 - x

becomes this 5 - 7 + 3 = 4x -4x -x

then simplify     1 = - x  

Answer:

y = -26

Step-by-step explanation:

[y = 2 - 2x] + [y = -16 + 2(x - 3)^2​]

y = -16 + 2x - 6^2

y = -16 + 2x - 6^2 + 2 - 2x

y = (+2x - 2x) - 16 - 6^2 + 2

y = -16 - 6^2 + 2

y = -16 - 12 + 2

y = - 28 + 2

y = -26

Answer:

AC = AB + BC

18 = (2X - 4) + (3X + 2)

18 = 5X - 2 ( add/subtract like terms)

20 = 5X (-2 take over otherside - 18 + 2)

X = 4

SUB X INTO AB AND BC

AB = 2(4) - 4 = 4

BC = 3(4) + 2 = 14

Answer:

it means maybe or either

Answer:

Yes he is over the speed limit.

Step-by-step explanation:

1 mile per minute * 60 minutes (1 hour) = 60 miles per hour

60 > 50

k = -2

√-72k = √(-72 · (-2)) = √144 = √12² = 12

Answer:

[tex] \frac{13}{21} , \: \frac{2}{3} , \: \frac{6}{7} [/tex]

(10y - 4) + (7y + 8) + (7y - 5) + (4y - 5) =

= 10y - 4 + 7y + 8 + 7y - 5 + 4y - 5 =

= 10y + 7y + 7y + 4y - 4 + 8 - 5 - 5 = 28y - 6

Answer:

I believe its A.

Step-by-step explanation:

Answer: -3 2/5

Step-by-step explanation:

When both integers are negative, you can treat them the same as positive numbers and add a negative sign to your final sum.

1+2 2/5 (or 2 4/10 or 2.4) is equal to 3 2/5. So (-1)+ (-2 2/5) is equal to -3 2/5, or -3.4.

Answer:

(-2, 3)

Step-by-step explanation:

For x-4 you go left four places and y+6 go up 6 places

Answer:

(-2, 3)

Step-by-step explanation:

Point P has coordinates (2, -3).

The translation is (x - 4, y + 6) which means subtract 4 from the x-coordinate and add 6 to the y-coordinate.

The x-coordinate of point P is 2. Subtract 4 from it, you get -2.

The y-coordinate of point P is -3. Add 6 to it to get 3.

The coordinates of the translated point are (-2, 3).

Step-by-step explanation:

Q1 . (f+g)(x) = f(x) + g(x)

=4x-4 +2x^2 -3x

= 2x^2 + x -4

Q2. (f-g)(x) = f(x) - g(x)

= 2x^2−2 - (4x+1)

= 2x^2 -2 -4x -1

= 2x^2 - 4x -3

Q3. h(x)=3x−3 and g(x)=x^2+3

(h.g)(x) = h(x) × g(x)

= (3x-3) × (x^2 + 3)

=3x^3 -3x^2 + 9x -9

Q4.f(x)=x+4 and g(x)=x+6

(f/g)(x) = f(x) ÷ g(x)

= x+4 / x+6

the domain restriction is x>-6

x<-6

x doesn't equal (-6)

If the two function f(x) and g(x) are to be combined, use basic arithmetic rules,

(f + g)(x) = f(x) + g(x)

(f - g)(x) = f(x) - g(x)

[tex](\frac{f}{g})(x)=\frac{f(x)}{g(x)}[/tex]

(f . g)(x) = f(x) × g(x)

Question 1

f(x) = 4x - 4 and g(x) = 2x² - 3x

[tex](f+g)(x)=f(x)+g(x)[/tex]

Therefore, [tex](f+g)(x)=(4x-4)+(2x^2-3x)[/tex]

                                   [tex]=2x^2+x-4[/tex]

Question 2

f(x) = 2x² - 2 and g(x) = 4x + 1

Since, (f - g)(x) = f(x) - g(x)

Therefore, (f - g)(x) = (2x² - 2) - (4x + 1)

                               = 2x² - 2 - 4x - 1

                               = 2x² - 4x - 3

Question 3

h(x) = 3x - 3 and g(x) = x² + 3

Since, (h - g)(x) = h(x) - g(x)

Therefore, (h - g)(x) = (3x - 3) - (x² + 3)

                                = 3x - 3 - x² - 3

                                = -x² + 3x - 6

Question 4

F(x) = x + 4 and g(x) = x + 6

Since, [tex](\frac{f}{g})(x)=\frac{f(x)}{g(x)}[/tex]

Therefore, [tex](\frac{f}{g})(x)=\frac{x+4}{x+6}[/tex]

Learn more,

https://brainly.com/question/7447002

Answer:

No

Step-by-step explanation:

note [tex]\frac{7}{5}[/tex] = 1.4

and  sinA is defined for - 1 ≤ sinA ≤ 1

Thus sinA ≠ [tex]\frac{7}{5}[/tex]

Answer:

How to solve your problem

2 ( 5 + 8 )

Simplify

Step-by-step explanation:

Distribute

2 ( 5 + 8 )

1 0 + 1 6

solution:

1 0 + 1 6

there you go

Answer:

9x - 5 (second option)

Step-by-step explanation:

[tex](4x - 6) + (5x + 1)[/tex]

[tex]4x - 6 + (5x + 1) = 4x - 6 + 5x + 1[/tex]

[tex]4x + 5x = (4 + 5)x = 9x[/tex]

[tex]9x - 6 + 1 = 9x - 5[/tex]

[tex] = 9x - 5[/tex]

Answer:

MN = 11

Step-by-step explanation:

M___A___Z___N

MZ =MA+AZ

MZ = 5x + 3x -2 = 8x - 2

MZ = AN

8x - 2 = 6(2x-1)

8x - 2 = 12x - 6

12x - 8x = 6 -2

4x = 4

x =4/4

x =1

MA= 5x = 5(1) = 5

AZ = 3x-2 = 3(1) - 2 = 3 -2= 1

MZ = 8x -2 = 8(1)-2= 8-2=6

AN = 12x - 6 = 12(1)-6 = 12 - 6 = 6

MN = MA + AN = 5 + 6 = 11

I hope I helped you^_^

Answer:

This ratio would be 12:1

Step-by-step explanation:

There's 12 gallons of water to 1 cup of cleaner.

Answer:

you would need 12 gallons of water.

Step-by-step explanation:

The ratio is 4 : 1/3. This means that for every 1/3 cups of cleaner, there is 4 gallons of water.

This in mind, 3 1/3 cups of cleaner would be 1/3 x 3.

Whatever you do to one side, you have to do to the other.

4 gallons x 3 = 12.

Hope this helps :)

Answer:

If you pacifically asking for the fraction 115/12

Step-by-step explanation:

I also looked on mathw it helps

Answer: a=225

Step-by-step explanation:

[tex]a > 0\\\\x^2=a\\\\x^2-a=0\\\\(x-\sqrt{a} )(x+\sqrt{a}) =0\\\\\sqrt{a} -(-\sqrt{a} )=30\\\\2\sqrt{a} =30\\\\\sqrt{a} 15\\\\a=15^2\\\\a=225\\\\Proof:\\\sqrt{225} -(-\sqrt{225} )=2*\sqrt{225} =2*15=30\\\\[/tex]

Answer:

Step-by-step explanation:

Answer:

120 degrees and 145

Step-by-step explanation:

Straight line is 180 degrees so just subtract the angle you already know

Answer:

2.956

Step-by-step explanation:

[tex]\frac{295.6}{10^2}[/tex]

= [tex]\frac{295.6}{100}[/tex]

= 2.956

Answer:

873.7936

Step-by-step explanation:

295.6 divided by 10 is

29.56.

This can be easily done by moving the decimal up one place to the left. For 29.56 to the power of 2 is really just 29.56 * 29.56

29.56 * 29.56 is

873.7936.

Hope this helps!

Answer:

No, It is not equal to a 60% discount.

Step-by-step explanation:

Think of this. I go into a store and everything is 50% off and I have a coupon myself that is a 50% off discount for a specific item. It may seem like the item is now free, but it isn't. Imagine the item was $1 before any discount. Then the store took 50% off of the $1, leaving it at $0.50. So now with my discount of 50% off the item I will be taking this 50% off of $0.50 = my final discounted cost of $0.25.

Hope I helped you understand :)

a + (n-1) b

= 3 + (7-1) 3

= 3 + 6(3)

= 3 + 18

= 21

Answer:

192

Step-by-step explanation:

given the geometric sequence : 3, 6, 12, ...

T1 = 3

r = 6/3 = 2

T7 =?

T7 = T1. r^(7-1)

= 3 . 2^(7-1)

= 3. 2^6

= 3. 64

= 192

hi <3

i'm not sure of which method you will have been taught but i'll try to explain the method i was shown.

so, you need to multiply the coefficient of x^2 by the last value

3 x -12 = -36

now, you need to find two values that multiply to make -36 but add to make 5.

9 and 4 would work. it would have to be positive 9 and negative 4, as these would subtract to give the 5 that you need

now we have:

(x - 4)(x + 9)

however, we need to achieve the 3 from somewhere so it needs to be divided somewhere

9 is divisible by 3 so you can divide it there. as 4 cannot divide by 3, you would move the 3 up to be the coefficient.

thus, your final answer would be:

(3x - 4)(x + 3)

hope this helps :)

Answer:

it's gonna be 3(X*2 + 4X - 4)

Step-by-step explanation:

Just factor out 3 from the expression

Answer:

3.026 $

Step-by-step explanation:

3.4 × 0.89 = 3.026 $