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aleksandrvk [35]
3 years ago
6

Solve the equation for x: 4-3/2x= 16 MIN

Mathematics
1 answer:
Vera_Pavlovna [14]3 years ago
7 0

Answer: x= -8

Step-by-step explanation:

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The polynomial function y = x3 -3x2 + 16x - 48 has only one non-repeated x-intercept. What do you know about the complex zeros o
earnstyle [38]
• First way to solve:
We'll manipulate the expression of the equation:

y=x^3-3x^2+16x-48\\\\ y=x^2(x-3)+16(x-3)\\\\ y=(x-3)(x^2+16)

If we have y=0:

x-3=0~~~or~~~x^2+16=0\\\\ x=3~~~or~~~x^2=-16\\\\ x=3~~~or~~~x=\pm\sqrt{-16}\\\\ x=3~~~or~~~x=\pm4i

Then, the function has one real zero (x=3) and two imaginary zeros (4i and -4i).

Answer: B


• Second way to solve:

The degree of the function is 3. So, the function has 3 complex zeros.

Since the coefficients of the function are reals, the imaginary roots are in a even number (a imaginary number and its conjugated)

The function "has only one non-repeated x-intercept", then there is only one real zero.

The number of zeros is 3 and there is 1 real zero. So, there are 2 imaginary zeros.

Answer: B.
3 0
2 years ago
Please help with this.
a_sh-v [17]

The slope is -3/4

Step-by-step explanation:

You figure this out by using the Rise/Run method.

The rise is how many units up (+) or how many units down (-) the points are away from each other, and rise is how many units to the left or right the points are away from each other.

Since the line is going at a downward angle, we can tell that the slope will be a negative slope. We can see that the 2nd point is 3 units down from the first, and the 2nd point is 4 units to the right of the first one. With this information, we can figure out that the slope is -3/4

8 0
2 years ago
Read 2 more answers
Solve the equation for all values of x by completing the square<br><br>x²+67=18x​
melamori03 [73]

Answer:

x=±\sqrt[]{4}+9

5 0
3 years ago
Pls help ASAP will give brainlies
vagabundo [1.1K]

Answer:

The answer is the third selection

Step-by-step explanation:

7 0
2 years ago
Y=x+1<br> 3x-2y=5<br><br><br> solve using substitution
miskamm [114]
Answer: (4, 5) 
Work:
Substitute the y in the second problem with y=x+1
3x-2(x+1)=5
3x-2x+1=5
x=4
Now solve for y
y=4+1
y=5
6 0
2 years ago
Read 2 more answers
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