If f(x) = 3x + 10 and g(x) = 2x - 4, find (f+g)(x).
O A. (f+g)(x) = -34 - 2x - 14
B. (f+ g)(x) = 3x - 2x + 14
O C. (f+ g)(x) = 5x + 6
D. (f+ g)(x) = 3x + 2x + 6

Help! I’m getting really confused which one it is

Answer:

he is correct

Step-by-step explanation:

to have 2 liters means it has to have 2000 milliliters of solution

(1000milliliters = 1 liter)

2 beaker  * 350+2 beaker * 400 + 1 beaker* 500 =

700+800+500=2000 milliliters

Answer:

.

Step-by-step explanation:

Answer:

The domain and range is (as inequalities):

[tex]x\leq 3\text{ and } -\infty < y < \infty[/tex]

Or in interval notation:

[tex]D=(-\infty, 3]\text{ and } R=(-\infty, \infty)[/tex]

Step-by-step explanation:

Recall that the domain is simply the set of all x-values of the function.

From the graph, we can see that the function is defined for all x-values less than or equal to 3.

Therefore, the domain is:

[tex]x\leq 3[/tex]

The range is the set of all y-values of the function.

From the graph, we can see that the range will extend infinitely in both directions.

Therefore, the range is all real numbers. As an inequality:

[tex]-\infty < y < \infty[/tex]

Or in interval notation, the domain is:

[tex](-\infty, 3][/tex]

And the range is:

[tex](-\infty, \infty)[/tex]

Answer:

200

Step-by-step explanation:

1/5m-2/3y=30

1/5m-2/3(15)=30

1/5m-30/3=30

1/5m-10=30

1/5m=30+10

1/5m=40

m=40/(1/5)

m=(40/1)(5/1)

m=200/1

m=200

Answer:

I believe its the 1st answer.

Answer:

She added the exponents instead of subtracting them.

Step-by-step explanation:

Answer:

The triangles are similar.

Step-by-step explanation:

They are similar because they have the same angles. They may be the same size, but it would be best to refer to whatever definition you were given.

The correct descriptions from the list accurately describe the relationship between QRS and TUV is,

⇒ Similar

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

We have to given that;

Two triangles are shown in figure.

Here, All the corresponding angles are same in both triangles.

And, The ratio of their corresponding sides are,

In triangle TUV;

⇒ 90 / 108 = 30 / 36

In triangle QRS;

⇒ 30 / 36

Hence, The correct descriptions from the list accurately describe the relationship between QRS and TUV is,

⇒ Similar

Learn more about the triangle visit;

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Answer:

x = 3, x = 9

Step-by-step explanation:

When solving this problem, keep the general format of a logarithm in mind:

[tex]b^x=y\\log_b(y)=x[/tex]

Where, (b) represents the base, (x) is the exponent, and (y) is the evalutaor. Please note that others might use slightly different terminotoly than what is used in this answer.

One is given the following expression, and is asked to solve for the parameter (x);

[tex]log_5(x-4)=1-log_5(x-8)[/tex]

First, manipulate the exquestion such that all of the logarithmic expressions are on one side. Use inverse operations to do this.

[tex](log_5(x-4))+(log_5(x-8))=1[/tex]

Now use the Logarithmic Base Change rule to simplify. The Logarithmic Base Change rule states the following;

[tex]log_b(x)=\frac{log(x)}{log(b)}[/tex]

Remember, if no base is indicated in a logarithm, then the logarithm's base is (10). Apply the Logarithmic Base Change rule to this problem;

[tex]\frac{log(x-4)}{log(5)}+\frac{log(x-8)}{log(5)}=1[/tex]

Now remove the denominator. Multiply all terms in the equation by the least common denominator; ([tex]log(5)[/tex]) to remove it from the denominator on the left side.

[tex](\frac{log(x-4)}{log(5)}+\frac{log(x-8)}{log(5)}=1)*(log(5))[/tex]

[tex]log(x-4)+log(x-8)=log(5)[/tex]

All logarithms have the same base, the left side of the equation has the addition of logarithms. This means that one can apply the Logarithm product rule. The logarithm product rules the following;

[tex]log_b(x*y)=(log_b(x))+(log_b(y))[/tex]

This rule can be applied in reverse to simplify the left side of the equation. Rather than rewriting the product of logarithms as two separate logarithms being added, one can rewrite it as one logarithm getting multiplied.

[tex]log(x-4)+log(x-8)=log(5)[/tex]

[tex]log((x-4)(x-8))=log(5)[/tex]

Now used inverse operations to bring all of the terms onto one side of the equation:

[tex]log((x-4)(x-8))=log(5)[/tex]

[tex]log((x-4)(x-8))-log(5)=0[/tex]

Similar to the Logarithm product rule, the Logarithm quotient rule states the following;

[tex]log_b(x/y)=(log_b(x))-(log_b(y))[/tex]

One can apply this rule in reverse here to simplify the logarithms on the left side:

[tex]log((x-4)(x-8))-log(5)=0[/tex]

[tex]log(\frac{(x-4)(x-8)}{5})=0[/tex]

The final step in solving this equation is to use the Logarithm of (1) property. This property states the following:

[tex]log_b(1)=0[/tex]

When applying this property here, one can conclude that the evaluator must be equal to (1), therefore, the following statements can be made.

[tex]log(\frac{(x-4)(x-8)}{5})=0[/tex]

[tex]\frac{(x-4)(x-8)}{5}=1[/tex]

Inverse operations,

[tex]\frac{(x-4)(x-8)}{5}=1[/tex]

[tex](x-4)(x-8)=5[/tex]

[tex](x-4)(x-8)-5=0[/tex]

Simplify,

[tex](x-4)(x-8)-5=0[/tex]

[tex]x^2-12x+32-5=0[/tex]

[tex]x^2-12x+27=0[/tex]

Factor, rewrite the quadratic expression as the product of two linear expressions, such that when the linear expressions are multiplied, the result is the quadratic expression:

[tex]x^2-12x+27=0[/tex]

[tex](x-3)(x-9)=0[/tex]

Now use the zero product property to solve. The zero product property states that any number times (0) equals (0).

[tex]x=3,x=9[/tex]

Hello,

I suppose the question is solve for x.

[tex]\displaystyle log_5\ (a)=\dfrac{ln (a)}{ln (5)} \\\\log_5(x-4)=1-log_5(x-8)\\\\\dfrac{ln(x-4)}{ln(5)} =1- \dfrac{ln(x-8)}{ln(5)}\\\\ln(x-4)=ln(5)-ln(x-8)\\\\ln(x-4)+ln(x+8)=ln(5)\\\\ln((x-4)*(x-8))=ln(5)\\\\(x-4)*(x-8)=5\\\\x^2-12x+27=0\\\\\Delta=12^2-4*27=36=6^2\\\\x=9\ or\ x=3\\\\Sol=\{3,9\}\\[/tex]

For Moderators,

this is a mathematical resolution without any bla-bla sentences that you will easily find. (I can not do it sorry)

Answer:

1. The graph of the inequality, y > -3·x - 2, created with MS Excel is attached showing the following characteristics;

Linear

Shade is above the line

2.  The graph of the inequality, y ≤ │x│ - 3,  created with MS Excel is attached showing the following characteristics

Linear

Shade is below the line

3. The graph of the inequality, y < x² - 4,  created with MS Excel s attached showing the following characteristics;

Quadratic

Shade below the line

Step-by-step explanation:

Answer:

15, 21, 35, 105

Step-by-step explanation:

A composite number is a positive integer that has more than two different factors. For example, composite number include 4, 6, 8, 9, 10, 12, 14, 15, 16, 18...etc.

So, if we multiply 3x5x7=105  

All the factors of 105 are 1, 3, 5, 7, 15, 21, 35, 105. So we just need to figure out the factors that are composite which are

15, 21, 35, 105

The list all the composite factors of K : 15, 21, 35, 105

"It is an integer that has only two different factors 1 and that integer itself."

"It is a method to find the prime factors of a given number."

"It is an integer that has more than two different factors. "

For given question,

The prime factorization of K is:

K = 3 × 5 × 7

This means the number K is, 3 × 5 × 7 = 105

The factors of 105 are: 1, 3, 5, 7, 15, 21, 35, 105.

We need to list all the composite factors of K.

From above factors of 105 we can observe that,

15 has factors 1, 3, 5, 15;

21 has factors 1, 3, 7, 21;

35 has factors 1, 5, 7, 35;

and 105 has more than two factors factors as mentioned above.

This means, the numbers 15, 21, 35 and 105 are composite numbers.

Therefore, the list all the composite factors of K : 15, 21, 35, 105

Learn more about the prime factorization of number here:

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Answer: experimental

Step-by-step explanation:

Experimental research design refers to a research that is conducted with a scientific approach whereby two sets of variables are used. It adheres to the scientific research design.

An experimental research design consist of an hypothesis, a variable which the researcher can manipulate and variables which can be measured. Based on the information given, the experimental research design is used.

Answer:

answer will be the integer only which was added to zero

Given:

D be the event that a randomly chosen person has seen a dermatologist.

S be the event that a randomly chosen person has had surgery for skin cancer.

To find:

The correct notation for the probability that a randomly chosen person has had surgery for skin cancer, given that the person has seen a dermatologist.

Solution:

Conditional probability: Probability of A given B is:

[tex]P(A|B)=\dfrac{P(A\cap B)}{P(B)}[/tex]

Let D be the event that a randomly chosen person has seen a dermatologist.

Let S be the event that a randomly chosen person has had surgery for skin cancer.

Using the conditional probability, the correct notation for the probability that a randomly chosen person has had surgery for skin cancer, given that the person has seen a dermatologist is P(S|D).

Therefore, the correct option is D.

Answer:

No. Try harder next year.

Answer:

I think the answer is 762.5 if not correct pardon plz

Answer:

7 cajas grandes y 3 cajas pequeñas  

Step-by-step explanatio:

Step-by-step explanation:

rs 80000+rs 20000=100000

rs 125000-rs 100000=25000

rs 25000÷rs 125000=0.2

0.2 × 100= 20%

Answer: 20%

Answer:

20%

Step-by-step explanation:

Use arthmetic, comes out as 0.2 = 20%

Answer:

Random and Representative.

Step-by-step explanation:

According to the Question,

Answer:

40%

Step-by-step explanation:

2 / 5 = 0.40

0.40 x 100 = 40%

Step-by-step explanation:

If 4/3 . sin42⁰ = x then 4/3 . cos48⁰ = ?

so it's that

Answer:

13

Step-by-step explanation:

Calculate the length using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = (- 5, 4) and (x₂, y₂ ) = (7, - 1)

d = [tex]\sqrt{(7-(-5))^2+(-1-4)^2}[/tex]

   = [tex]\sqrt{(7+5)^2+(-5)^2}[/tex]

   = [tex]\sqrt{12^2+25}[/tex]

   = [tex]\sqrt{144+25}[/tex]

   = [tex]\sqrt{169}[/tex]

   = 13

Answer:

Only 10 base units to learn

Step-by-step explanation:

The metric system is a decimal based system developed to be universally acceptable by making use of base units from obtained from nature and the use of prefixes for multiples and submultiples of the base units, decimal ratios, which allows easy representation of quantities, as well as having a coherent structure of base and derived units which are obtained from the base units

During conversion in the metric system, which is decimal based, it is only required to move the decimal point

The prefixes which are used to specify multiples and submultiples are the same through out

The decimal system is based on the powers of ten

The number of base units to learn are 7 including; 1. Meter (m), 2. Kilogram (kg), 3. Second (s), 4. Ampere (A), 5. Kelvin (k), 6. Candela (cd), and 7. mole (mol)

Therefore the metric system has several advantages that include all of the following except; Only 10 base units to learn

Answer: a Line going up and down

Step-by-step explanation:

Answer:

See explanation below

Step-by-step explanation:

The line x = 5 would be vertical and lies on x = 5 within the x-axis.

Answer:

a

Step-by-step explanation:

think about it, its' obvious

Answer:

[tex]y = |x+2|+1[/tex]

Step-by-step explanation: