Ask question

Ask question

All categories

3 years ago

10

HELP ASAP one solution to a quadratic function, f, is given below. (sqrt of 7) + 5i which of the following statements is true ab

out the given function? a) the other solution to the function is - sqrt7 -5i b) the other solution to the function is sqrt7 -5i c) the other solution is -sqrt7 + 5i d) function f has no other solutions.

2 answers:

mash [69]3 years ago

7 0

Answer:

b

Step-by-step explanation:

complex solutions occur in conjugate pairs, hence

$\sqrt{7}$ + 5i , then $\sqrt{7}$ - 5i is also a solution

mel-nik [20]3 years ago

4 0

Answer:

Option b). the other solution to the function is $\sqrt{7}-5i$

Step-by-step explanation:

In a given quadratic function f(x) = ax² + bx + c, if b² - 4ac < 0 then bothe the solutions of the function will have two complex roots.

Roots of this function will be the complex conjugates.

Since one root of the equation is given as $\sqrt{7}+5i$

Then other solution will be its complex conjugate as $\sqrt{7}-5i$

Therefore, Option B) will be the answer.

You might be interested in

Using the rule of 72.1-

alekssr [168]

A. I think I’m not all the way sure

3 0

2 years ago

Read 2 more answers

The 9 students in the Environmental Club represent 4% of the students in the seventh grade. How many students are in the seventh

finlep [7]

Answer:

225 students

Step-by-step explanation:

<u><em /></u> $9\div4$ %

<u><em>Calculate</em></u>

<u><em /></u> $\frac{9}{0.04}$

<u><em>Multiply both the numerator and denominator with the same integer</em></u>

<u><em /></u> $\frac{900}{4}$

<u><em>Cross out the common factor</em></u>

225

<em>I hope this helps you</em>

<em>:)</em>

7 0

2 years ago

Fiona found 47 pens for $3. Please help Fiona by figuring out the ratio. (round to 2 decimal places)

vitfil [10]

Answer:

c

Step-by-step explanation:

3 0

2 years ago

In the triangle below,

defon

Answer: y ≈ 10.6 cm

Step-by-step explanation:

The cosine function relates the adjacent side to the hypotenuse in a right triangle. The side adjacent to the 20° angle is 10 cm.

cos(20°) = (10 cm)/y

y = (10 cm)/cos(20°)

y ≈ 10.6 cm

3 0

3 years ago

Two collinear points on a line are given in the table below:

katrin [286]

Answer:

$(4,3)$ and $(7,2)$ do not lie on the line

Step-by-step explanation:

Given

$(0,0)\ and\ (2,1)$

Required

Determine which points that are not on the line

First, we need to determine the slope (m) of the line:

$m = \frac{y_2 - y_1}{x_2- x_1}$

Where

$(x_1,y_1) = (0,0)$

$(x_2,y_2) = (2,1)$

So;

$m = \frac{y_2 - y_1}{x_2- x_1}$

$m = \frac{1 - 0}{2-0}$

$m = \frac{1}{2}$

Next, we determine the line equation using:

$y - y_1 = m(x -x_1)$

Where

$m = \frac{1}{2}$

$(x_1,y_1) = (0,0)$

$y - y_1 = m(x -x_1)$ becomes

$y - 0 = \frac{1}{2}(x - 0)$

$y = \frac{1}{2}x$

To determine which point is on the line, we simply plug in the values of x to in the equation check.

For $(4,2)$

$x = 4$ and $y =2$

Substitute 4 for x and 2 for y in $y = \frac{1}{2}x$

$2 = \frac{1}{2} * 4$

$2 = \frac{4}{2}$

$2=2$

<em>This point is on the graph</em>

<em></em>

For $(4,3)$

$x = 4$ and $y = 3$

Substitute 4 for x and 3 for y in $y = \frac{1}{2}x$

$3 = \frac{1}{2} * 4$

$3 = \frac{4}{2}$

$3 \neq 2$

<em>This point is not on the graph</em>

<em></em>

For $(7,2)$

$x = 7$ and $y = 2$

Substitute 7 for x and 2 for y in $y = \frac{1}{2}x$

$2 = \frac{1}{2} * 7$

$2 = \frac{7}{2}$

$2 \neq 3.5$

<em></em>

<em>This point is not on the graph</em>

<em></em>

<em></em> $(\frac{4}{8},\frac{2}{8})$ <em></em>

<em></em> $x = \frac{4}{8}$ and<em> </em> $y = \frac{2}{8}$ <em></em>

<em>Substitute </em> $\frac{4}{8}$ <em> for x and </em> $\frac{2}{8}$ <em> for y in </em> $y = \frac{1}{2}x$ <em></em>

<em></em> $\frac{2}{8} = \frac{1}{2} * \frac{4}{8}$ <em></em>

<em></em> $\frac{2}{8} = \frac{1 * 4}{8 * 2}$ <em></em>

<em></em> $\frac{2}{8} = \frac{4}{16}$ <em></em>

<em></em> $\frac{1}{4} = \frac{1}{4}$ <em></em>

<em></em>

<em>This point is on the graph</em>

3 0

3 years ago