-2/3(3x - 4) +3x =5/6
What is X

X= -19/6
X= -11/6
X = 21/6
X=29/6

13 inches is the combined amount of snow for December and January.

Addition in maths, a process of combining two or more numbers.

Given that, In December, it snowed 10 inches. In January, it snowed 3 inches.

10+3 = 13

Hence, 13 inches are the combined amount of snow for December and January.

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Answer:

Cafe A - 54

Cafe B - 56

Step-by-step explanation:

The translation of the parent function is:

g(x) = ∛(x + 6) + 1

There are two types of translations, these are:

Horizontal translation:

For a function f(x), a horizontal translation of N units is written as:

g(x) = f(x + N)

Vertical translation:

For a function f(x), a vertical translation of N units is written as:

g(x) = f(x) + N

Here we start with the parent function:

f(x) = ∛x

And we apply two translations such that:

g(x) = ∛(x + a) + b

Such that:

g(-7) = 0

g(2) = 3

Then we have the system of equations:

∛(-7 + a) + b = 0

∛(2 + a) + b = 3

From the options, the only ones that make the first option true are:

g(x) = ∛(x + 6) + 1

Such that when evaluated in x = -7 we get:

g(-7) =  ∛(-7 + 6) + 1 =  ∛(-1) + 1 = 0

When evaluated in x = 2 it gives:

∛(2 + 6) + 1 =  ∛(8) + 1 = 2+ 1 = 3

So the only option that meets these conditions is:

g(x) = ∛(x + 6) + 1

Which is a translation to the left of 6 units and up 1 unit.

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Answer:

A) f(x) = RootIndex 3 StartRoot x + 6 EndRoot + 1

Step-by-step explanation:

I Just take the test

Answer:

here!

Step-by-step explanation:

"In decimal form, the value of pi is approximately 3.14."

hope this helps! :)

Answer:

pi equal 3.141492654 ................. and more but that is the standard answer

Step-by-step explanation:

- (4, 5) and (4, -2) -

We can find the slope by using rise/run

[tex]m=\frac{y_2-y_1}{x_2-x_1}\\m=\frac{5-(-2)}{4-4} \\[/tex]

As expected, the slope is indeed undefined. The denominator can't be 0 but this one has denominator that's 0 which is undefined.

Meaning that, when the x-value for both ordered pairs are the same, the slope will be undefined.

For the graph, It should be like this below in the picture.

Answer:

(5, - 6 )

Step-by-step explanation:

under a reflection in the line y = x

a point (x, y ) → (y, x ) , then

(- 6, 5 ) → (5, - 6 )

Answer:

key food has the better deal

Step-by-step explanation:

19.95/5 = 3.99 per pound and 18/5 = 4.50 per pound

3x+5=11

3x=6

x=2

Answer is x=2 Hope this helps

Answer:

I cannot see the number line mentioned here, but I'll explain how you multiply negative and positive using tiles and number line.

To multiply positive and a negative nunber, for instance, 2(–3), you'll think of it as 2 groups of negative one in three's. Using tiles you have

–1 –1

–1 –1

–1 –1

Two groups of negative one in three's, adding that up we have 6.

Using number line. See 2(–3), for instance, as moving twice in intervals of –3. If I am to multiply that, starting from 0, if I move once, I'll land at –3, if I move one more time, I'll land at –6. Since I am to move twice, that's the required answer.

Answer:

71

Step-by-step explanation:

Answer:

The rational number includes only those decimals, which are finite and repeating.

Step-by-step explanation:

Rational Number is defined as the number which can be written in a ratio of two integers in the form a/b where a,b are integers and b≠ 0, while an irrational number is a number which cannot be expressed in a ratio of two integers (that is it cannot be expressed as fraction in the form a/b).

The rational numbers are numbers whose decimal expansion are finite and repeating, while irrational numbers include those numbers whose decimal expansion is infinite, non-repetitive and shows no pattern e.g. π.

Answer:

Step-by-step explanation:

maximum years would be where x=-b/2a or -18/-6 or x=3

put that into the equation to get y=-27+54-4=23 hundreds of thousands.

from year 3 on, the profit decreases

the zero point is where y=0 this is -3x^2+18x-4=0

or 3x^2-18x+4=0

quadratic formula

x=(1/6)(18+/-sqrt(324-48)); sqrt 276=16.61

x=(34.61/6)=5.77 years, so 2.77 years of decreasing profits.

Based on the given task content, the identity property of each of the questions are below:

4 + (x + y) = (4 + x) + y

If √49 = 7 and 7 = 3 + 4, then √49 = 3 + 4

(mn) × 1 = mn

(x + 3) × 0 = 0

(x + 2) + y = (2 + x) + y

2(1/2) = 1

3 = 3

10k² + (-10k²) = 0

5(x + 7) = 5x + 35

If -7v = 28, then 28 = -7v

Distributive property states that multiplying the sum of two or more number gives the same result.

Transitive Property states that for all real numbers x ,y, and z, if x=y and y=z , then x=z.

The additive inverse property states that adding a number and the inverse of the same number gives a sum of 0.

The multiplicative inverse property states that multiplying a nonzero number with the inverse of the same nonzero gives a product of 1.

The reflexive property of equality states that a number is always equal to itself, that 1 = 1

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Answer:

I think the domain would be the x values and range would be the y values in the given 2 points.

Domain : [-4 , 0]

Range : [-2 , 6]

I hope you get this right.

Answer:

Step-by-step explanation:

6x-6+35 = 3x+29

6x - 3x = 29-29

3x = 0

x=0

Answer:

154cm squared

Step-by-step explanation:

Step-by-step explanation:

Answer:

.242 Kilograms

Step-by-step explanation:

To convert milligrams to kilograms multiply the value by .000001 or move the decimal mark 6 places to the left.

Answer:

0.242 kg

Step-by-step explanation:

divide the mass by 1e+6

Answer:

[tex] \frac{2}{5} [/tex]

Step-by-step explanation:

3.25÷2=1.625

19.5÷1.625=12

Answer:

34

Step-by-step explanation:

3esw

Answer:

The domain is 0≤t≤4

Step-by-step explanation:

The domain for this function should not include any negative t values (since that would mean the time is negative) and it should not include any t values where the height is negative (since a negative heigh doesn't make sense in the context of this problem). The t values between 0 and 4 are the only t values where both of these conditions are met.

Answer:

x = -2

Step-by-step explanation:

Simplifying

2x + -5x = 3x + 12

Combine like terms: 2x + -5x = -3x

-3x = 3x + 12

Reorder the terms:

-3x = 12 + 3x

Solving

-3x = 12 + 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.

-3x + -3x = 12 + 3x + -3x

Combine like terms: -3x + -3x = -6x

-6x = 12 + 3x + -3x

Combine like terms: 3x + -3x = 0

-6x = 12 + 0

-6x = 12

Divide each side by '-6'.

x = -2

Simplifying

x = -2

Answer:

Hundredth is expressed as 1/100 0r 0.01. Rounding off of 2.85 tons = 3.00 tons

Step-by-step explanation:

Step-by-step explanation:

Rise over run is often referred to as the slope of the line or the gradient of the line. It is the measure obtained by dividing the y component of the line with the x component of the line. The rise over run ratio is an important characteristic to define the line, and is required to find the equation of the line.

Answer:

45% of 432 is 194.4

Step-by-step explanation:

Answer:

I'm not too sure what your question is asking, I'm guessing you want to know what 45% of $432 is

45% of $432 is $194.4

Step-by-step explanation:

% basically means out of 100 so 45% is 45 out of 100:

45/100(432)

19440/100

194.4

Answer:

y = ± 13

Step-by-step explanation:

y² = 169 ( take square root of both sides )

y = ± [tex]\sqrt{169}[/tex] = ± 13

since 13 × 13 = 169 and - 13 × - 13 = 169

then y = 13 and y = - 13

Answer:

98 units.

Step-by-step explanation:

Circumference = 2 * pi * radius

615.44 = 2 * 3.14 * r

r = 615.44 / (2 * 3.14)

 =2 * 3.14

 = 98 units.