Simplify: 5¹c²c³c⁴

One solution to a quadratic function, h, is given.

Margaret [11]

Answer:

B. The other solution to function $h$ is $-4-i\,7$ .

Step-by-step explanation:

From Algebra, we remember that quadratic functions of the form $a\cdot x^{2}+b\cdot x + c$ has solutions of the form:

$x = \frac{-b\pm \sqrt{b^{2}-4\cdot a\cdot c}}{2\cdot a}$ , where both are complex if and only if $\sqrt{b^{2}-4\cdot a \cdot c}< 0$ .

Hence, if one solution of the quadratic function is $-4+i\,7$ , then the other solution is $-4-i\,7$ . The correct answer is B.

7 0

3 years ago

Determine whether the point is on the graph of the equation 2x+3y=8.<br> (1,2)

geniusboy [140]

The point $(1,2)$ is on the graph of the equation.

Explanation:

The equation is $2x+3y=8$

We need to determine the point $(1,2)$ is on the graph.

To determine the point $(1,2)$ is on the graph, we need to substitute the point in the equation and find whether the LHS is equal to RHS.

Thus, substituting the point $(1,2)$ in the equation $2x+3y=8$ , we get,

$2(1)+3(2)=8$

Multiplying the terms within the bracket, we have,

$2+6=8$

Adding the LHS, we have,

$8=8$

Thus, both sides of the equation are equal.

Hence, the point $(1,2)$ is on the graph of the equation $2x+3y=8$

3 0

3 years ago

the sum of three consecutive integers is 186. what are the integers? the first integer is _ the second integer is _ the third in

UNO [17]

The integers are x - 1, x and x + 1

x - 1 + x + x + 1 = 186
3x = 186
x = 186/3 = 62

Therefore, the numbers are 61, 62 and 63

7 0

3 years ago

Read 2 more answers

Based on the triangles, which statement is true?

AlladinOne [14]

The sum of interior angles of a triangle is 180°, and a linear pair is supplementary (adds to 180°). The appropriate choice is

... G. w = 105°, because ...

_____

In short, an exterior angle is equal to the sum of the opposite interior angles.

... w = 180 - (180 - (45 + 60)) = 180 -180 +45 +60

... w = 45 +60

4 0

3 years ago

Which radical expression is in simplified form A. 11y/sqrt3 B. sqrt6/5y C. sqrt17/sqrt4 D. sqrt25/18

Mkey [24]

Answer: $\frac{\sqrt{6}}{5y}$

Step-by-step explanation:

The given radical expressions are:

$A. \frac{11y}{\sqrt{3}}\\\text{It is not completely simplified ,}\\\text{since denominator is radical, we need to rationalize it first to simplify. }\\\\B.\frac{\sqrt{6}}{5y}\\\text{It is completely simplified ,}\\\text{since its denominator is not radical and 6 is not a perfect square. }\\\\C. \frac{\sqrt{17}}{\sqrt{4}}\\\text{It is not completely simplified ,}\\\text{since denominator is radical, we need to rationalize it first to simplify. }\\\\$ $\\\\D. \frac{\sqrt{25}}{18}=\frac{5}{18}\\\text{Hence, expression D was not completely simplified .}$

8 0

3 years ago

Simplify: 5¹c²c³c⁴ ​

Simplify: 5¹c²c³c⁴