What is the slip of the line shown below ? <br><br> A - 11/4 <br> B- 4/11<br> C- -4/11<br> D- 11/4

Find the range of the function:<br><br> f(x) = x + 3, for x ≠ 1

Tju [1.3M]

Answer:

All Real Numbers except for 4

Step-by-step explanation:

Objective: Specify domain and range of a function.

The equation is a linear equation. A linear equation range is all real numbers. However x cannot equal 1 so let plug in x to find where the y value CANT be.

$f(1) = 1 + 3 = 4$

So the range is

All Real Numbers except for 4.

3 0

2 years ago

If (ax+2)(bx+7)=15x2+cx+14 for all values of x, and a+b=8, what are the 2 possible values fo c

dolphi86 [110]

Given:

$(ax+2)(bx+7)=15x^2+cx+14$

And

$a+b=8$

Required:

To find the two possible values of c.

Explanation:

Consider

$\begin{gathered} (ax+2)(bx+7)=15x^2+cx+14 \\ abx^2+7ax+2bx+14=15x^2+cx+14 \end{gathered}$

So

$\begin{gathered} ab=15-----(1) \\ 7a+2b=c \end{gathered}$

And also given

$a+b=8---(2)$

Now from (1) and (2), we get

$\begin{gathered} a+\frac{15}{a}=8 \\ \\ a^2+15=8a \\ \\ a^2-8a+15=0 \end{gathered}$ $a=3,5$

Now put a in (1) we get

$\begin{gathered} (3)b=15 \\ b=\frac{15}{3} \\ b=5 \\ OR \\ b=\frac{15}{5} \\ b=3 \end{gathered}$

We can interpret that either of a or b are equal to 3 or 5.

When a=3 and b=5, we have

$\begin{gathered} c=7(3)+2(5) \\ =21+10 \\ =31 \end{gathered}$

When a=5 and b=3, we have

$\begin{gathered} c=7(5)+2(3) \\ =35+6 \\ =41 \end{gathered}$

Final Answer:

The option D is correct.

31 and 41

8 0

5 months ago

Find all real and imaginary solutions to the equation x^3-4x^2+x-4=0

lawyer [7]

Step-by-step explanation:

STEP 1

Equation at the end of step 1

(((x3) - 22x2) + x) - 4 = 0

STEP 2

Checking for a perfect cube

2.1 x3-4x2+x-4 is not a perfect cube

5 0

2 years ago

Df+gh=k<br> solve for h.<br> please help!!

fiasKO [112]

Answer:

15

Step-by-step explanation:

6 0

2 years ago

What are 3 ratios equal to 5/40?

Neporo4naja [7]

Answer:1/8 , 2/16 , 4/32

Step-by-step explanation:

6 0

2 years ago

What is the slip of the line shown below ? A - 11/4 B- 4/11 C- -4/11 D- 11/4