Use the remainder theorem to determine whether x=-4 is a solution of x^6+5x^5+5^4+5^3+2x^2-10x-8.
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Hello haohaoxNienie!
[tex] \huge \boxed{\mathbb{QUESTION} \downarrow}[/tex]
Use the remainder theorem to determine whether x = - 4 is a solution of x⁶ + 5x⁵ + 5x⁴ + 5x³ + 2x² - 10x - 8.
[tex] \large \boxed{\mathbb{ANSWER\: WITH\: EXPLANATION} \downarrow}[/tex]
Refer to the attached picture.
Steps :-First find the divisor using the given information (x = - 4).Now, divide x⁶ + 5x⁵ + 5x⁴ + 5x³ + 2x² - 10x - 8 by x + 4.We'll get the remainder as 0.Using the remainder theorem & solving it, we'll get LHS & RHS as 0.Hence proved.Answer :- Yes, x = - 4 is a solution of x⁶ + 5x⁵ + 5x⁴ + 5x³ + 2x² - 10x - 8.
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The image shows the linear graph for a family that hired a babysitter for a day. The family gave the babysitter some money up front to buy herself some lunch, and then paid her a constant hourly rate for the hours she worked. Click the thumbnail image to see the full size image.
Which 2 of the following statements are TRUE about the Y-INTERCEPT of this line? Select the TWO statements that are accurate.
A.
The y-intercept is 0.
B.
The y-intercept is 10.
C.
The y-intercept tells me that they paid the babysitter $20 to buy her lunch.
D.
The y-intercept tells me that they paid the babysitter $10 to buy her lunch.
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The y-intercept, which represents the point the graph crosses the y-axis, is the point where x = 0, or the usual start of a time based function
The true statements about the y-intercept are;
B. The y-intercept is 10
D. The y-intercept tells me that they paid the babysitter $10 to buy her lunch
Reasons:
The points on the graph are;
[tex]\begin{array}{|c|cc|} \mathbf{Time }&&\mathbf{Cost}\\0&&10\\1&&20\\2&&30\\3&&40\\4&&50\\5&&60\end{array}\right][/tex]
The slope of the graph is therefore; [tex]\dfrac{60 - 50}{5 - 4} = 10[/tex]
The equation of the graph is y - 60 = 10·(x - 5)
y = 10·x - 50 + 60 = 10·x + 10
y = 10·x + 10The y-intercept is give by the point where the x-value is zero
At the start when x = 0, the amount paid to the baby sitter is y = 10×0 + 10 = 10
Therefore, the y-intercept which is $10, represent the amount the family
paid to the babysitter at the start for her lunch
The correct statements are therefore;
Option B; The y-intercept = 10
Option D; The y-intercept indicates the amount given to the babysitter for
her lunch
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Answer:
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Answer:
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a. Find the impedance in a standard European circuit if the current is 22 - 11i amps.
b. Find the current in a standard European circuit if the impedance is 10 - 5i ohms.
c. Find the impedance in a standard European circuit if the current is 20i amps.
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Current is 22 - 11i amps, thus [tex]I = 22 - 11i[/tex]. Then:
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[tex]220 = (22 - 11i)Z[/tex]
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Item b:
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Step-by-step explanation:
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10: the last digit must be 0, ex: 40 and 5600
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120- 2, 3, 5, 6, 10
125- 5
180- 2, 3, 5, 6, 9, 10
324- 2, 3, 6, 9
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Step-by-step explanation:
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y=2
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Answer:
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Replace x with √7/5
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Divide both sides by √7
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Step-by-step explanation:
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Step-by-step explanation:
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The question gives us two points, (-6, -8) and (-3,-7), from which we can find the slope and later the equation of the line.
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The slope of the line (m) = (-8 - (-7)) ÷ (-6 - (-3))
= -1 ÷ (-3)
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we could also transform this into the slope-intercept form ( y = mx + c)
since y + 7 = ¹/₃ (x + 3)
⇒ y + 7 = ¹/₃ x + 1
∴ y = ¹/₃ x - 6
To test my answer, I have included a Desmos Graph that I graphed using the information provided in the question and my answer.
WILL GIVE BRAINLIEST
solve for x : -4 = (2/3)x
show steps please
Answers
To solve for x, we have to find a way to make x the subject of the equation (get x on one side and everything else on the other side)
since -4 = (2/3)x [mutiply both sides by 3]
⇒ -4 × 3 = 2x [divide both sides by 2]
⇒ (-12/2) = x [simplify by dividing -12 by 2]
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Answer:
X = 6
Step-by-step explanation:
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3 x 1 = 3
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Answer:
-3, 1
Step-by-step explanation:
There are actually 2 x-intercepts of the parabola. You can find them simply by looking along the x-axis and seeing where the lines of the parabola touch the axis, so -3 and 1.
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Answer:
1 and -3
Step-by-step explanation:
At x-intercept y = 0
So, parabola intersect x-axis at two places (1 , 0) and (-3 , 0)
X-intercepts are 1 and -3