Simplify the following expression:
3[(x³ -7x+1)-(x+4)]

Answer:

50

Step-by-step explanation:

The answer is 50 because f(6) basically means to substitute 6 for x.

8(6)+2

48+2

50

So the evaluation of f(6) is 50

The generated equivalent expression is 9y + 24. So, the correct answer is option D.

What is an expression?

An expression can be defined as the combination of variables and constants with two or more operations applied on it. The operation can be addition, subtraction, multiplication and division.

Simplifying to generate an equivalent expression

The given expression is 2(3y + 6) - 3(- 4 - y)

= 2(3y + 6) + 3(4 + y)

= 6y + 12 + 12 + 3y

= 6y + 3y + 24

= 9y + 24

Hence, the generated equivalent expression is 9y + 24.

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Answer:

  95°

Step-by-step explanation:

You want the measure of angle TVZ, when adjacent angle (2x+5)° and its supplement (2x+15)° are given. The larger of these is a vertical angle with respect to TVZ.

The angles marked (2x+15)° and (2x+5)° are a linear pair, hence supplementary.

  ((2x+15)° +(2x+5)° = 180°

  4x +20 = 180 . . . . simplify

  x +5 = 45 . . . . . . . divide by 4

  x = 40 . . . . . subtract 5

Angle TVZ is a vertical angle with respect to the one marked (2x+15)°, so has the same measure:

  ∠TVZ = (2(40)+15)°

  ∠TVZ = 95°

__

Alternate solution

The two angles RVW (2x+15)° and ZVW (2x+5)° obviously differ by 10°. They are a linear pair, so their sum is 180°. Finding these angles is then a "sum and difference" problem. The larger of the solutions is the one we want, as (2x+15)° is a vertical angle to TVZ. We know the larger of the solutions to the sum and difference problem will be (180° +10°)/2 = 95°, the measure of TVZ.

More about sum and difference problems:

When a+b = s, and a-b = d, the larger value (a) can be found by adding these equations: (a+b) +(a-b) = s+d, or 2a = s+d, or a = (s+d)/2. This is the expression we used above to find the larger of the two angles. (You notice it is not necessary to solve for x.)

Answer: Domain: [-1, 1]

Range: [-2, 3]

Step-by-step explanation:

Domain: The x-values go from -1 to 1 with x=-1 and x=1 included.

Range: The range starts at the vertex of the function which is y=-2 and goes up to y=3 where the graph is cut off by 2 points on y=3.

The equation in the form y = mx + b is as follows:

y = 1 / 5 x + 32

The customer uses 500 minutes, the monthly cost will be $132. If the customer uses 700 minutes, the monthly cost will be $172.

Using linear equation in slope intercept form,

y = mx + b

where

Hence,

x = the number of monthly minutes used

y = the total monthly of the Ringular plan

Therefore, the equation in slope intercept form can be represented as follows:

(500, 132)(700, 172)

let's find the slope,

m = 172 - 132 / 700 - 500

m = 40 / 200

m = 4 / 20

m = 1 / 5

Hence,

y = 1 / 5x + b

using (500, 132) let's find the y-intercept

132 = 1 / 5 (500) + b

132 = 100 + b

b = 132 - 100

b = 32

Therefore, the equation in the form y = mx + b is as follows:

y = 1 / 5 x + 32

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Answer:

Step-by-step explanation:

Need more clarification! Which function?

Answer:

2 on the 1st, 1 on the second, 3 on the third, 1 on the fourth

Answer:

is 15.2

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

a linear expression in two variables has the form ax + by

an inequality uses the symbols < , > , ≤ , ≥

the only expression in this form is

3x + 4y ≥ 10

the balance in the account at the 10th day will be equal to - $ 57.5.

Late fee for 1 day = $ 5.75

Number of days = 10

We will calculate the late fees for 10 days by using the operation of multiplication.

So, late fee will be:

Late fees = 10 × $ 5.75

Late fees = $ 57.5

Balance in the account at the 10th day = 0 - Late fees

Balance in the account at the 10th day = 0 - $ 57.5

Balance in the account at the 10th day = - $ 57.5

Therefore, the balance in the account at the 10th day will be equal to - $ 57.5.

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Answer:

8

Step-by-step explanation:

-5 is 5 units left of zero.

3 is 3 units right of zero.

The difference is 8.

what of disibility rules?

The speed of the car at the bottom of the loop is approximately 31.3 m/s

The given parameters are;

Mass of the car = 500 kg

Radius of the loop = 20 meters

Velocity of the car at the top of the loop = 14 m/s

The kinetic energy at the top of the loop is therefore;

K E. = 0.5×500×14² = 49,000

The potential energy gained = 500×9.81×40 = 196200

Total energy = 49,000 + 196,200 = 245,200

The velocity at the bottom is therefore;

0.5×500×v² = 245,200

v² = 245,200 ÷ (0.5×500) = 980.8

v = √(980.8) ≈ 31.3

The velocity at the bottom of the loop is therefore;

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The numbers 7, 22, 11, 34, 17, 52, 26, 13 and so on represent hailstone sequence.

These patterns are referred to as hailstone sequences because the values frequently rise and fall, resembling a hailstone inside a cloud.

It should be noted that such numbers can either rise or fall.

Therefore, the numbers 7, 22, 11, 34, 17, 52, 26, 13 and so ob represent hailstone sequence.

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The type of market in which  all employee can take orders, sell flowers, make arrangements, and commit the store to large orders for weddings, banquets, and special events is Oligopoly.

An oligopoly is a market characterized by a small number of firms who realize they are interdependent in their pricing and output policies. The number of firms is small enough to give each firm some market power.

Given situation:

All employee can take orders, sell flowers, make arrangements, and commit the store to large orders for weddings, banquets, and special events.

As, A market structure known as an oligopoly occurs when a few large sellers or manufacturers control a sizable portion of a market or an entire sector.

Oligopolies are frequently the outcome of corporate collaboration as a way to increase profits.

Some examples of oligopolies include the car industry, petrol retail, pharmaceutical industry, coffee shop retail, and airlines.

So, as discussed in the given case employee can take orders, sell flowers, make arrangements, and commit the store to large orders for weddings, banquets, and special events to make some profit.

Hence, The type of market is Oligopoly.

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Answer:

Step-by-step explanation:

The sum of three angles is 180 degrees.

Show this as equation and solve for x:

Angle one is:

Answer:

Step-by-step explanation:

divide 14 by 11

which is 0.36

Answer:

Step-by-step explanation:

Answer: 1/3 and 3/5

Step-by-step explanation:

Answer:

-40

Step-by-step explanation:

It states with g(-2) that x = -2, so we can plug -2 for x.

g(x) = 3x^3 - 2x^2 + 4x
g(x) = 3(-2)^3 - 2(-2)^2 + 4(-2)
g(x) = 3(-8) - 2(4) + 4(-2)
g(x) = -24 - 8 - 8
g(x) = -40

Answer:

6

Step-by-step explanation:

First, divide 7.16 by 4 to find the price of one bottle, which is 1.79. Then, divide 10.74 by 1.79 to get 6.

Answer:

[tex]\boxed{\sf y^{15}}[/tex]

Step-by-step explanation:

Given expression:

When any expression is given in the format [tex]\sf (\ a^b \ )^c[/tex] then [tex]\sf a^{bc}[/tex].

simplify

Answer:

[tex]3^{-9}[/tex]or [tex]\frac{1}{3^{9} }[/tex]

Step-by-step explanation:

3^3/3^12 = 3^3 * 3^(-12) = 3 ^(3-12) = 3^(-9) or 1/3^9

Answer:

[tex] \sf \large{m=−3}[/tex]

Step-by-step explanation:

Let's solve your equation step-by-step.

10=7−m

Step 1: Simplify both sides of the equation.

10=7−m

10=7+−m

10=−m+7

Step 2: Flip the equation.

−m+7=10

Step 3: Subtract 7 from both sides.

−m+7−7=10−7

−m=3

Step 4: Divide both sides by -1.

−m/−1= 3/−1

m=−3

The correct solution of division fractions is 18/4.

Multiplication is the opposite of division. If 3 groups of 4 add up to 12, then 12 divided into 3 groups of equal size results in 4 in each group. The primary objective of division is to count the number of equal groups that are created or the number of individuals in each group after a fair distribution.

When describing how much of anything is left over, a fraction is used. It represents the appropriate parts of the totality. A fraction is made up of two parts: the numerator and the denominator

Given that,

The division fraction is 6× 3/4

So, the fraction is 6/1×3/4

Therefore, the division fraction is  4×2/4 or 18/4

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