Find the value of p(-1)=4x^4+5x^3-x^2+6

Answers

Answer 1
Answer:

Answer:

p(- 1) = 4

Step-by-step explanation:

To evaluate p(- 1) substitute x = - 1 into p(x), that is

p(- 1) = 4(-1)^(4) + 5(- 1)³ - (- 1)² + 6

         = 4(1) + 5(- 1) - 1 + 6

         = 4 - 5 - 1 + 6

         = 4


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The fence along the length of a ranch measures 4,450.5 meters and the fence along the width of a ranch measures 2,890 meters.The length of the fence is how many kilometers longer than the width?



_______ km

Answers

Given:
Length = 4,450.5 meters
Width = 2,890 meters

1 kilometer = 1,000 meters

Length: 4,450.5 meters * 1km/1,000 meters = 4,450.5 km/1,000 = 4.4505km

Width: 2,890 meters * 1km/1,000 meters = 2,890 km/1,000 = 2.89 km

4.4505 km - 2.89 km = 1.5605 km

The length of the fence is 1.5605 km longer than the width of the fence.

The equation of line CD is (y − 3) = − 2 (x − 4). What is the slope of a line perpendicular to line CD?

Answers

The\ slope-point\ form:y-y_0=m(x-x_0)\ where\ m\ is\ a\ slope\n\nIf\ k:y=m_1x+b_1\ and\ l:y=m_2x+b_2\n\nk\perp l\iff m_1m_2=-1\to m_2=-(1)/(m_1)\n\ntherefore\nthe\ slope\ of\ line\ CD:y-3=-2(x-4)\ is\ m_1=-2\ and\ the\ slope\nof\ a\ line\ prpendicular\ to\ CD\ is\ m_2=-(1)/(-2)=(1)/(2)

Answer: 1/2
(y-3)=-2(x-4)
(y-3)= -2x+8
y= -2x+11
perpendicular slopes are always reciprocals and opposite so the slope would be
slope=1/2

A. using the graph, describe the key characteristics of the graph (positive/negative slope, proportional/non proportional, y-intercept).B. write in words what the slope of the graph means in context.

C. write in words what the y-intercept of the graph means in context.

D. write in words what the graph of the line is showing.

Answers

Final answer:

The graph has a positive slope, is non-proportional, and has a y-intercept of 2. The slope represents the rate of change between the x and y variables. The y-intercept represents the value of y when x is 0. The graph shows a relationship where y increases by a constant rate of 3 for every one unit increase in x.

Explanation:

A. The graph has a positive slope. It is non-proportional as the points do not lie on a straight line. The y-intercept is 2.

B. The slope of the graph represents the rate of change between the x and y variables. In context, it means that for every unit increase in x, y increases by 3 units.

C. The y-intercept of the graph represents the value of y when x is 0. In context, it means that when x is 0, y is equal to 2.

D. The graph of the line is showing a relationship between x and y variables, where y increases by a constant rate of 3 for every one unit increase in x, starting from a y-value of 2 when x is 0.

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Final answer:

In a graph, the slope describes the rate of change, and the y-intercept is where the line intersects the y-axis. A positive pitch rises from left to right, while a negative one falls. A proportional graph reflects a constant rate of change, while a non-proportional one shows a non-constant rate of change.

Explanation:

We need to know the specifics of the graph to explain the components you've asked about. A positive slope on a chart is represented by a line that rises from left to right, while a negative slope descends from left to right. The value of the pitch can be determined by the rise over run (change in y / change in x).

A graph is proportionalif the line passes through the origin (0,0) and has a constant slope. If it doesn't, it's considered non-proportional, meaning the change rate is unstable.

The y-intercept is the point where the line intersects with the y-axis. In the context of an equation, it's the value of 'y' when 'x' equals zero.

A graph's slope depicts the change rate between the two variables. The y-intercept typically represents the starting value or the value of 'y' when 'x' has yet to apply. Finally, the overall graph of a line shows the relationship between two variables, represented in a way that changes in one variable correspond with a change in another.

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Find mAC.

Pls help me

Answers

Answer:

Measure of Arc AC is 30 degrees

Step-by-step explanation:

To find the value of the marked arc, we are going to use the arc-angle relationship

from the type of given diagram, we can figure out the relationship to use

Mathematically, we have this as;

Measure of Arc AC = 2 * angle ABC

So we have arc AC as 2 * 15

Arc AC = 30 degrees

Please help me with this problem

Answers

Answer:

4

Step-by-step explanation:

\frac{ {3x}^(2) -2x + 7}{2x+5}  \n  \frac{3( - 1) {}^(2)  - 2( - 1) + 7}{2( - 1) + 5 }  \n  (3 + 2 + 7)/( - 2 + 5)  \n  (12)/(3)  = 4

What is the distance in space between the points with coordinates (-3,6,7) and (2,-1,4) ?

Answers

A(-3;\ 6;\ 7);\ B(2;-1;\ 4)\n\n|AB|=√((2-(-3))^2+(-1-6)^2+(4-7)^2)\n\n=√(5^2+(-7)^2+(-3)^2)=√(25+49+9)=√(83)