Factorize 6x^2+17x+5 by splitting middle term and by using the factor theorem

Answers

Answer 1

Answer: $6x^2+17x+5 =\n 6x^2+2x+15x+5=\n 2x(3x+1)+5(3x+1)=\n (2x+5)(3x+1)$

Related Questions

What is the value of x and y
HELP ASAPP :( !!!!ill mark you as brainliest
T/F: Elimination is using multiplication and division to eliminate one variable and solve a system of equations. *
A student playing a computer chess game gets 5 points every time he wins a round. The computer gets 3 points every time it wins a round. They play 64 rounds and end with a tied score. How many rounds did the computer win?
Find x when y=3 in the literal equation 3x+6y=24

Solve each equation by factoring, PLZ HELP!!

Answers

1) x^2=64 is the same as x=the root of 64 which gives us: (+-)8

2) here you must us pq-formel as:

5m^2-5m=60

5m^2-5m-60=0

(m^2-5m-60)/5=0

m^2-m-12=0

m=0,5(+-) the root of 0,25+12

m=0,5(+-)3,5

m1=0,5+3,5

m2=0,5-3,5

15) x^2=7x

x^2-7x=0 here there is two x, so:

x(x-7)=0

x1=0

x2=7

Here you can only use PQ formula in all the others, just as I did in the question number 2

The graph of a function never has two different points with the same x-coordinate because.. A. the graph of a function cannot be a straight line. B. each input value is mapped to a single output value. C. each input value is mapped to more than one output value. D. the graph of a function is a vertical line.

Answers

The best answer to the question that is being stated above would be letter B. The graph of a function never has two different points with the same x-coordinate because the input value of each of the points is mapped to a single output value in the graph.

Answer: The correct reason is (B) each input value is mapped to a single output value.

Step-by-step explanation: The given statement is:

"The graph of a function never has two different points with the same x-coordinate."

We are to select the correct reason for the above statement.

The definition of a FUNCTION is as follows:

In simple language, a function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

That is, if y = f(x) is a function of a variable 'x', then we have

$x_1=x_2~~~~\Rightarrow f(x_1)=f(x_2).$

(A) The first statement is "the graph of a function cannot be a straight line."

The statement is false. For example, let us consider y = x + 2. Obviously, it is a function because every value of 'x' will result in only one value of 'y'.

Also, the graph here will be a straight line as shown in the attached figure (1).

(B) The first statement is "each input value is mapped to a single output value."

The statement is true according to the definition of a function.

(C) The third statement is "each input value is mapped to more than one output value."

The statement is false by the definition of a function.

(D) The fourth statement is "the graph of a function is a vertical line."

The statement is false. For example, if we consider the vertical line x = 2. Then, we see from the attached figure (2) that the points (x, y) = (2, 1), (2, 0), (2, 3), etc. all lie on the line.

This shows that one input value leads to infinitely many values of 'y'. Hence, this vertical line cannot be the graph of a function.

Thus, (B) is the correct statement.

116 is 145% of what number

Answers

$116\ \rightarrow\ 145\%\nx\ \rightarrow\ 100\%\n\nx= (116\cdot100\%)/(145\%) \n\nx= (4\cdot29\cdot5\cdot20)/(5\cdot29) \ \ \ \Rightarrow\ \ \ x=4\cdot20=80$

116 = 145% x ?
116 = 1.45 x ?
116 ÷ 1.45 = 80
? = 80

A student was investigating how many students in their class share a car ride to school.The table shows the results.
If 26 students travel by car, and some student travel together, answer the following.

(a) What is the missing frequency?
(b) What is the mean number of students in each car?

Number of students in one car Number of cars
1 n
2 7
3 3

Answers

If 26 students were riding, then the missing frequency for the number of cars for each student. Because:

2x7 = 14
+
3x3 =9
=
23 students. Therefore there were 3 cars with only 1 student riding in each car.

The mean number of students in each car is 2. Because:

mean for 3 cars = 1
mean for 7 cars = 2
mean for 3 cars = 3

Add it all up and divide by 3 means yields 2.

Evaluate (1.18×103)⋅(9.1×10−6)