Lines a and b are parallel.

I need help desperately! Could someone explain this math concept for me please?

Nana76 [90]

The inequality that represents the range of k so that inequality 1 has real solution is -3 < k < 5

<h3>How to determine the range?</h3>

Inequality 1

x^2 + (k + 1)x + k + 4 > 0

The discriminant is calculated using

D = b^2 - 4ac

So, we have:

D = (k + 1)^2 - 4 * 1 * (k + 4)

Evaluate

D = k^2 + 2k + 1 - 4k - 16

This gives

D = k^2- 2k - 15

Factorize the equation

D = (k+ 3)(k -5)

Solve for k

k = -3 and k = 5

Express the k values as inequalities

-3 < k < 5

Inequality 2

The inequality cannot be read, because of the image quality

Read more about discriminant at:

brainly.com/question/7784687

#SPJ1

4 0

2 years ago

Based on the family the graph below belongs to, which equation could represent the graph?

lord [1]

Answer-

Equation 1 is the equation which represents the graph.

Solution-

From the graph it can be noticed that, the function is a hyperbola. It is a rectangular hyperbola.

The general form of rectangular hyperbola is,

$xy=c^2$

Where c is a constant.

Equation 1 represents a function of rectangular hyperbola, with vertical asymptote as x=-2 .

Equation 2 represents an exponential function.

Equation 2 represents an cubic function.

Equation 2 represents logarithmic function.

Therefore, equation 1 is the equation which represents the graph.

7 0

3 years ago

Read 2 more answers

PLEASE HELP!!! HURRY EMERGENCY !! 50 PTS AND BRAINLIEST

makkiz [27]

Answer:

graph of h(x)= a slope of 2, and the y-intercept is 0.

graph of g(x)= a slope of 1, and a y-intercept of 6.

graph of f(x)= a slope of 1, and a y-intercept of -6.

Step-by-step explanation:

The equation would be h(x)=(x-6)+(x+6) which is also equal to h(x)= 2x if you combine like terms. f(x) and g(x) equations are pretty straight forward.

8 0

4 years ago

Read 2 more answers

Which ordered pair in the form (x, y) is a solution of this equation?

Ksenya-84 [330]

The answer is B

11 + 3 is 14 x 1 is 14

7 0

4 years ago

Which set of numbers is correctly ordered from greatest to least?

shepuryov [24]

Answer:

Step-by-step explanation:

Here is the corrected question and options:

Option 1:

$7\frac{1}{3} , \frac{221}{30} , 7.36, 3.16\sqrt{2e}$

Option 2:

$7\frac{1}{3} , 7.36 , \frac{221}{30} , 3.16\sqrt{2e}$

Option 3:

$3.16\sqrt{2e}, 7.36 , \frac{221}{30} , 7\frac{1}{3}$

Option 4:

$3.16\sqrt{2e}, \frac{221}{30} , 7.36 , 7\frac{1}{3}$

Solution:

Lets write each of the above given numbers in a simplified form:

$7\frac{1}{3}$

Simplify this by converting it into a decimal form:

This becomes:

(3*7+1) / 3 = (21 + 1) / 3 = 22/3 = 7.333333

So

$7\frac{1}{3}$ = 7.3

$\frac{221}{30}$

Simplify this by converting it into a decimal form:

This becomes:

221/30 = 7.3666666667

So,

$\frac{221}{30}$ = 7.367

$7.36$

This number comes with a bar sign on .36 which means that the number has a non terminating repeating decimal expansion as 7.3636363636...

So after rounding it off this becomes:

7.36

$3.16\sqrt{2e}$

Simplify this by converting it into a decimal form:

The value of e = 2.718

This becomes:

3.16 $\sqrt{2*2.718}$

= 3.16 (√5.436)

= 3.16 * 2.331523

= 7.3679949818

= 7.368

So

$3.16\sqrt{2e}$ = 7.368

7.367995

Now we get the numbers in decimal form:

$7\frac{1}{3}$ = 7.333333 = 7.3

$\frac{221}{30}$ = 7.3666666667 = 7.367

7.36 = 7.3636363636

$3.16\sqrt{2e}$ = 7.3679949818 = 7.368

Now lets order the numbers from greatest to least:

$3.16\sqrt{2e}$

$\frac{221}{30}$

7.36

$7\frac{1}{3}$

So the correct option is:

Option 4

$3.16\sqrt{2e}, \frac{221}{30} , 7.36 , 7\frac{1}{3}$

7 0

3 years ago