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LUCKY_DIMON [66]
3 years ago
10

When g(x) is divided by x + 4 the remainder is 0. Given g(x)=x^4+3x^3-6x+8 which conclusion about g(x) is true?

Mathematics
1 answer:
Leona [35]3 years ago
5 0
Check your textbook on the Remainder Theorem.

any divisor that yields a remainder of 0 from the dividend, IS a factor of the dividend.

namely, if x⁴+3x³-6x+8 ÷ x+4, gives a remainder of 0, then x+4 IS a factor of x⁴+3x³-6x+8.
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The line containes the point (-8,11) and has a y intercept of 5
kicyunya [14]

Step-by-step explanation:

Since, line contains the point (-8, 11) and has a y intercept of 5.

Therefore, line passes through the points (-8, 11) and (0, 5)

Equation of line in two point form is given as:

\frac{y-y_1 }{y_1 - y_2 }  =  \frac{x-x_1 }{x_1 - x_2 }  \\  \\  \therefore \:  \frac{y-11 }{11 - 5 }  =  \frac{x-( - 11) }{ - 11 - 0 }  \\  \\ \therefore \:  \frac{y-11 }{6 }  =  \frac{x +  11 }{ - 11 }  \\  \\ \therefore \:   - 11(y-11 )=6 (x +  11) \\  \\  \therefore \:   - 11y + 121=6 x +  66 \\  \\  \therefore \:   0=6 x + 11y +  66 - 121 \\  \\    \red{ \boxed{\therefore \:  6 x + 11y  - 55 = 0}}

Hence, 6x + 11y - 55 = 0 is the required equation of line.

5 0
3 years ago
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Paha777 [63]
Answer is b because angle BPD is greater than 90 degree
7 0
4 years ago
One x-intercept for a parabola is at the point (1,0). Use the factor method to find the other x-intercept for the parabola defin
Hoochie [10]
First simplify the equation of parabola y=-5x^2+15x-10 in the following way:
D=(15)^2-4\cdot (-5) \cdot (-10)=225-200=25, \\  \sqrt{D}=5, \\  x_{1,2} = \dfrac{-15\pm 5}{2\cdot(-5)} = 2, 1  \\ -5x^2+15x-10=-5(x-1)(x-2), \\ y=-5(x-1)(x-2).
You can see that if x=1 or x=2, then y=0. Two points of intersection with x-axis are (1,0) and (2,0).

3 0
3 years ago
Please help with this question what is -19=b-6​
Yuliya22 [10]

Answer:

Step-by-step explanation:

Let's solve your equation step-by-step.

−19=b−6

Step 1: Flip the equation.

b−6=−19

Step 2: Add 6 to both sides.

b−6+6=−19+6

b=<em>−13</em>

8 0
3 years ago
Read 2 more answers
Please solve. best answer gets rewarded! show step by step answers.
Rina8888 [55]
-17+2(-3)^2
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