If f(x) = 3x + 10x and g(x) = 2x - 4, find (f- g)(x).
O A. 15x-4
B. 3X + 8x+4
O c. 3* – 8x+4
D. 3% + 12x-4

Answer:

[tex]\displaystyle x = \sqrt{y^2 + z^2}[/tex]

General Formulas and Concepts:

Pre-Algebra

Algebra i

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle x^2 = y^2 + z^2[/tex]

Step 2: Solve for x

Answer:

d = 4

Step-by-step explanation:

a7 = -9

a19 = 39

We know the formula for an arithmetic sequence is

an = a1+d(n-1)

Using the givens:

a7 = -9 = a1 +d(7-1)

a19 = 39 =a1 +d(19-1)

Subtracting these equations

-9 = a1 +d(6)

39 =a1 +d(18)

------------------------

-48 = 0 -12 d

Divide by -12

4 =d

For the equal distribution each child can take either 1 or 3 or 7 or 9 or 21 or 27 or 63 or 189 apple.

What is equal distribution?

The distribution of a something in a way that each will get same amount.

How 189 can be divided equally?

If the distribution is equally then each child should take, either 1 or 2 or 3 an so on means same amount.

For this we will check that 189 is divisible by which numbers.

Now we can see that 189 is divisible by 1, 3, 7, 9, 21, 27, 63, 189. It is clear that each child can take either 1 or 3 or 7 or 9 or 21 or 27 or 63 or 189 apple then the distribution will be equal means every child will have same amount of apple.

Therefore, the correct answer is 1, 3, 7, 9, 21, 27, 63, 189.

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Answer:

d

Step-by-step explanation:

Answer:

1 A

2c

3B

4f

do not use the last one f(X)=x

Step-by-step explanation:

Answer:

Option d

Step-by-step explanation:

-5(8x)

= -5×8×x

= -40x

Answered by GAUTHMATH

Answer:

b

Step-by-step explanation:

when raising a fraction to a power both the numerator and denominator has to be raised to that power

Answer:

(a) <7 and <8

(b) <3 and <8

(c) <6 and <1

Step-by-step explanation:

There are multiple different answers for each of the questions but these are the ones I chose.

(a) A linear pair is two adjacent angles that intersect and form a straight or 180-degree angle. This means that the angles are supplementary. Since angles 7 and 8 make a straight line on line n, they must be a linear pair.

(b) Vertical angles are two angles opposite of each other that share a vertex. Angles 3 and 8 are opposite of each other, made of the same lines, and share a vertex. This makes them vertical angles and congruent.

(c) As aforementioned, vertical angles are congruent. So, any vertical angles listed could answer this question. For example, angles 6 and 1 are vertical angles, and therefore congruent.

Answer:

the slope is m=7/2

Step-by-step explanation:

Answer:

7/2

Step-by-step explanation:

Answer:

x = 110°

Step-by-step explanation:

The Outside Angle Theorem states that the measure of the angle formed by two secants or a secant and tangent from a point outside of a circle is half the difference between the two arcs.

This means that ½ (210 – x) = 50.

½ ( 210 – x ) × 2 = 50 × 2

210 – x = 100.

210 – x + x = 100 + x.

210 = 100 + x.

100 + x = 210.

100 + x – 100 = 210 – 100.

x = 110.

This value must be true because:

½ ( 210 – 110 ) = 50.

½ ( 100 ) = 50.

50 = 50.

Answer: See explanation

Step-by-step explanation:

Since Smart Dot Company costs $12 per month plus $0.50 for each hour of Internet used, the equation to represent the cost of using the internet with them will be:

C = 12 + 0.5t

Since Communication Plus costs $2.50 for every hour of Internet used, the equation to represent the cost of using the internet with them will be:

C = 2.5t

Answer:

A, E or 1, 5

Step-by-step explanation:

Its not A, D

Answer:

0.305

Step-by-step explanation:

We are told that area under the standard normal curve to the right of z = -0.51 is 0.6950

Thus, to get the area to the left, we just subtract 0.6950 from 1.

Thus;

area to the left of z = 0.51 is;

P( z < 0.51) = 1 - 0.6950 = 0.305

Answer:

The top choice is the answer. a1=7; an= 3*a_(n-1)

Step-by-step explanation:

Begin by finding out what the terms are multiplied by. It is a geometric sequence so multiplication is involved.

Take the 3rd term (63) and divide it by the second term.

63/21 = 3

What this means is that each term in the sequence is multiplied by 3 to get to the next term.

The first term is 7

So the answer is an = 3* a_n-1

The answer must be the top one. See if it works.

a2 = 3*a_(2 -1 )

a2 = 3 * a1

a2 = 3 * 7

a2 = 21 which it does.

Answer:

1

Step-by-step explanation:

In this situation, the slope is 1.

This is because the ski rental service charges $1 per hour.

The $12.50 initial flat rate represents the y intercept, while the hourly charge is the slope.

So, the value of the slope is 1.

Pepe's balance will be greater as it is increasing exponentially while Leo's is increasing linearly

(see graph, where red is Pepe and blue is Leo)

Pepe's balance will be greater because Pepe's balance is growing exponentially option (A) is correct.

It is defined as the function that rapidly increases and the value of the exponential function is always positive. It denotes with exponent [tex]y = a^x[/tex]

where a is a constant and a>1

We have:

Pepe and Leo deposit money into their savings accounts at the end of each month.

From the table, we can plot a graph on a coordinate plane.

As we can see in the graph:

Because Pepe's balance is growing exponentially and Leo's is growing linearly, it will be bigger.

Thus, Pepe's balance will be greater because Pepe's balance is growing exponentially option (A) is correct.

Learn more about the exponential function here:

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Answer:

26

Step-by-step explanation:

Set N: 6, 7 , 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22

The median of set N is 14

Since the median of Set N is the lowest number of set L, it would look like this

Set: L: 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38

The median of Set L is 26

Answer:

The expression is 70 - 9 u .

Step-by-step explanation:

Digit at ones place = u

Let the digit at tens place is y.

Sum of the digits is 7.

y + u = 7

y = 7 - u

So, the number is

10 y + u

= 10 (7 - u) + u

= 70 - 10 u + u

= 70 - 9 u

Answer:

Step-by-step explanation:

Answered by Gauthmath

Answer:

The correlation has no unit of measurement; it is just a number.

Correlation requires both variables to be quantitative.

Step-by-step explanation:

Correlation refers to the measure of the relationship between two variables. The correlation between two variables is measured using the correlation Coefficient which may take any value between - 1 and 1 ; the closer the correlation Coefficient is to either 1 or - 1, the greater the relationship with negative depicting a negative association and positive depicting a positive relationship between the variables. The correlation Coefficient requires that both variables are numeric (quantitative). The correlation Coefficient has no unit of measurement.

Answer:

[tex]V_f=450ml/hr[/tex]

Step-by-step explanation:

From the question we are told that:

Mass [tex]m=15kg[/tex]

Amount of NaCl IV [tex]n=0.9\%[/tex]

Rate [tex]R=30ml/kg/hr[/tex]

Generally the equation for fluid rate be for your IV pump is mathematically given by

[tex]V_f=mR[/tex]

Since

Rate is

30ml/kg/hr at 1kg patient Weight

Therefore

[tex]V_f=15*30[/tex]

[tex]V_f=450ml/hr[/tex]

Answer:

[tex]144\pi[/tex]cm

multiple 24 pi with 6 on a scientific calculator.

Answer:

4pi

Step-by-step explanation:

that is the procedure above

Answer:

[tex]x^{\frac{3}{2} } p^{6}[/tex]

Step-by-step explanation:

Answer:

12cm^2

Step-by-step explanation:

The first thing we want to do is find out what type of quadrilateral is shown so we can identify a formula we can use to solve for the area

The quadrilateral shown is a trapezoid

It's a trapezoid because it has four sides and one pair of parallel sides ( side AD and side BC are both formed vertically making them parallel as they can be extended an infinite length and will never intersect. ) This being the properties of a trapezoid

Now that we have identified the type of quadrilateral that the figure is, let's find the area.

Area of a trapezoid formula:

A = (a+b/2)h

Where a and b = bases and h = height

* Identify variable of quadrilateral shown*

( Note that each unit = 1cm )

The bases have lengths of 4 units (4cm) and 2 units (2cm)

The height can be represented by an imaginary line from a to c

From a to c is 4 units (4cm)

Now that we have identified the variables let's plug them into the formula

A = (a+b/2)h

a = 4

b = 2

h = 4

* Plug the variables into the formula *

A = (4+2)/(2)4

If you plug this into a calculator you get that the area is 12

If you need the work for evaluation here it is:

Evaluate using PEMDAS

Parenthesis

Exponents

Multiplication and Division ( left to right)

Addition and Subtraction ( left to right )

(4+2)/2 * 4

First step is to evaluate the operations inside of the parenthesis (4+2)

6/2 * 4

The next step is to evaluate exponents

There are no exponents so we move on to multiplication and division evaluate whatever come first going left to right

First comes division

3 * 4

Then multiplication

A = 12.

Answer:

1.00 am

Step-by-step explanation:

Find the LCM of 12,18,20 and 25

=900 min ....change it to hrs =15 hrs

10.00am___1000hrs

1000hrs+15hrs

=0100hrs

=1:00 am

Answer:

22 degrees

Step-by-step explanation:

Corresponding angles in similar triangles are equal

So the corresponding angle would be 22 degrees

Answer:

Y = -5

Step-by-step explanation:

2x - 3x+ 26 = 19

X = 7

Y = -5