If f(x) = 3x2 – 2 and g(x) = 2x + 4, find (f – g)(x).

A. 3x2 – 2x – 6
B. 2x – 3x2 – 2
C. 3x2 – 2x + 2
D. x2 + 2

Answer:

-1

Step-by-step explanation:

We are given that an expression

[tex]\frac{5}{6}-\frac{11}{6}[/tex]

We have to find the correct value of given expression on the number line.

[tex]\frac{11}{6}=1\frac{5}{6}[/tex]

[tex]\frac{5}{6}-\frac{11}{6}[/tex]

[tex]\frac{5-11}{6}=\frac{-6}{6}[/tex]

[tex]\frac{5}{6}-\frac{11}{6}=-1[/tex]

[tex]\frac{5}{6}+(-1\frac{5}{6})[/tex]

When an integer positive and other integer negative and add them .If negative integer is greater and positive integer is small then we go from left to right.

We go [tex]\frac{5}{6}[/tex] step from [tex]-1\frac{5}{6}[/tex]towards right  then we reach at [tex]{-1}[/tex].

Hence, -1 is the correct value of given expression.

16-10 = 6 inches

24-15  = 9 ounces

it stretches 6 inches when 9 ounces are added

 divide 6 inches by 9 ounces

6 / 9 = 0.67 inches per ounce

It would take Gali approximately 7.5 hours to drive from Cleveland, Ohio, to Washington, D.C. on the interstate highways.

To find Gali's average driving speed, we can divide the distance she can travel by the time it takes her:

140 miles / 3 hours = 46.67 miles per hour (approx).

Now that we know her average driving speed, we can calculate the time it would take her to drive 350 miles from Cleveland to Washington, D.C.

Time = Distance / Speed

Time = 350 miles / 46.67 miles per hour

Time ≈ 7.5 hours

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The greatest number of side dishes they can buy is 5, as per linear equation.

"A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation."

The family has $35 to spend on dinner.

They spend $18 on entrees.

Therefore, they are left with $(35 - 18) = $17.

Side dishes are $3 each.

Therefore, the most number of side dishes they can buy is

($17/$3)

= 5.67

≈ 5

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(6d + 5) - (2 - 3d)

Remove the parenthesis. This will help the question look more clear

6d + 5 - 2 + 3d

Add like terms.

(6d + 3d) + (5 - 2)

Simplify.

9d + 3

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To find the difference between (6d+5) and (2-3d), distribute the negative sign and combine like terms to get 9d + 3.

To find the difference between (6d+5) and (2-3d), we first distribute the negative sign to the terms inside the second parentheses. This gives us:

(6d+5) - (2-3d) = 6d+5 - 2 + 3d

Next, we combine like terms by adding the coefficients of d:

(6d + 3d) + (5 - 2) = 9d + 3

So, the difference between (6d+5) and (2-3d) is 9d + 3.

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To solve this problem, we set up a proportion based on the provided information: 132 pounds correlates to 143 milligrams. We then use cross multiplication to find the required dosage for the patient with the weight of 156 pounds, which results to about 169.3 milligrams.

The method to solve this issue is to use the concept of proportionality. First, we set up a proportion based on the given information: 132 pounds (patient weight) correlates to 143 milligrams (medicine dosage). Secondly, we could use cross multiplication to find the unknown medicine dosage for the patient weighting 156 pounds. Here's the mathematical process:

Carrying out the multiplication and division should result in x ≈ 169.3 milligrams. So a patient weighing 156 pounds would require approximately 169.3 milligrams of the medicine.

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Answer:

- 3 8/15

Step-by-step explanation:

I took the test and this was the answer

First, start at zero. Now, because we are multiplying -4 by 3, we will jump over by 4 to the left  ; 3 times on the number line. We should reach -12, and if we check our work, 3 x -4 = -12.                                            

Final answer:

To model the multiplication of 3 and -4 on a number line, start at zero and make three moves to the left by 4 units, ending up at -12. This demonstrates the rule that multiplying numbers with opposite signs results in a negative product.

Explanation:

To model the multiplication of 3 and -4 on a number line, you can follow these steps:

Start at zero on the number line.

Since you are multipling a positive number by a negative number, you will move in the negative direction (to the left).

Make three moves (corresponding to multiplying by 3), each 4 units to the left. This represents adding -4 three times.

Where you end up on the number line is the product of 3 and -4, which is -12.

This method of multiplication on a number line illustrates the rule that when two numbers multiplied have opposite signs, the answer has a negative sign, such as in the example ( -4) x 3 = -12.

Answer:

[tex]1\frac{1}{4}[/tex]gallon/hour

Step-by-step explanation:

After [tex]2\frac{1}{4}[/tex] hour a chainsaw has used [tex]2\frac{13}{16}[/tex] gallons of fuel.

[tex]2\frac{1}{4}[/tex] hours = [tex]\frac{9}{4}[/tex] hours

[tex]2\frac{13}{16}[/tex] gallons = [tex]\frac{45}{16}[/tex] = 2.8125 gallons

The chainsaw used fuel after [tex]\frac{9}{4}[/tex] hours = [tex]\frac{45}{16}[/tex] gallons

The chainsaw used fuel in 1 hour = [tex]\frac{\frac{45}{16}}{\frac{9}{4}}[/tex]

= [tex]\frac{45}{16}[/tex] ÷ [tex]\frac{9}{4}[/tex]

=  [tex]\frac{45}{16}[/tex] × [tex]\frac{4}{9}[/tex]

= [tex]\frac{180}{144}[/tex]

= [tex]\frac{90}{72}[/tex]

= [tex]\frac{30}{24}[/tex]

= [tex]\frac{15}{12}[/tex]

= [tex]\frac{5}{4}[/tex]

= [tex]1\frac{1}{4}[/tex] gallons of fuel

Chainsaw used [tex]1\frac{1}{4}[/tex] gallons of fuel in each hour

Answer:

2.04

Step-by-step explanation:

1. I make an estimate

2. I regroup some of the numbers.

3. then subtract it all and you get...

                       2.04

The cost of each friend's meal in terms of a is 35/a.  

The cost of each friend's meal when the number of friends is 5 is $7.

The cost of each friend's meal in terms of a is 35/a and the cost of each friend's meal when the number of friends is 5 is $7.

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

In other words, an equation is a set of variables that are constrained through a situation or case.

Given the equation,

6 + ax = 41

Where a is the number of people and x is the cost of each friend's meal.

Now,

ax = 41 - 6

ax = 35

x = 35/a

So it will be the cost of each friend's meal in terms of a.

Now,

If the number of friends = 5

Then,

a = 5

So,

x = 35/5 = 7

Hence "The cost of each friend's meal in terms of a is 35/a and the cost of each friend's meal when the number of friends is 5 is $7".

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A candy manufacturer wants to achieve a 60:40 consumer taste preference for new products, meaning they want 60% of consumers to prefer their new products and 40% to prefer other products.

When the candy manufacturer says that it wants to reach a 60:40 consumer taste preference for new products, it means that they aim to have 60% of consumers prefer their new products, while 40% of consumers prefer other products.

For example, if they conducted a taste test and found that out of 100 consumers, 60 preferred their new products and 40 preferred other products, then they have achieved their desired consumer taste preference.

This ratio indicates the target market share the candy manufacturer hopes to capture for its new products.

The candy manufacturer wants 60% of consumers to prefer their new products over others.

The candy manufacturer's statement about wanting to reach a 60:40 consumer taste preference for new products means that they aim to have 60% of consumers prefer their new products over other options, while 40% may still prefer other brands or flavors.

For example, if the company launches a new chocolate bar, their goal is to have 60% of consumers say that they like the new chocolate bar, while 40% may still prefer other chocolate bars or candies.

This ratio indicates the company's desired market share and the level of acceptance they are aiming for in order to consider their new products successful.

Answer:

-7

Step-by-step explanation: