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oee [108]
3 years ago
5

The zeros of a polynomial function are 1/2, -4 and -1.

Mathematics
1 answer:
mihalych1998 [28]3 years ago
4 0

Answer:

The factors are (x- \frac {\bf 1} {\bf 2}){\bf (x+4)}{\bf (x+1)}

Step-by-step explanation:

Given that \frac{1}{2} ,-4, -1 are the zeroes of the polynomial

Let the polynomial be P(x)

For the polynomial P(x), If r is a zero of P(x) then (x-r) will be a factor of P(x).

If (x-r) is a factor of P(x) then r will be a zero of P(x).

From the given Zeroes we can write it in  form of factors as below:

P(x) = (x- \frac{1}{2})(x-(-4))(x-(-1))

P(x) = (x- \frac{1}{2})(x+4)(x+1)

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A: 1:1 unless they want you to count both arms then it would be B: 2:2
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A triangular garden has an area of 9 square yards which figure could represent the garden
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For edginuity the answer is the last one.

Step-by-step explanation :

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Work out the equation of the line which has a gradient of 2 and passes through the point (1, 4)
leva [86]

Answer:

y = 2x + 2

Step-by-step explanation:

The slope is also called the gradient of the line.

The slope that is given is two, and the point is (1, 4).

I made a point slope equation, and then converted it into a slope-intercept equation.

y-4=2(x-1)\\\\y-4=2x-2\\\\y-4+4=2x-2+4\\\\\boxed{y=2x+2}

Hope this helps.

4 0
3 years ago
Direction: Solve each of the following system of linear equations graphically then check, if the system of linear equations has
lora16 [44]

Answer:

The solution is (0, 2) or x = 0, y = 2.

Step-by-step explanation:

Solving a system of linear equations graphically entails graphing the lines and then finding the point where the lines intersect. This point of intersection will be the solution to the system of equations.

Getting these linear equations into slope-intercept form (y = mx + b, where m is the line's slope and b is the line's y-intercept) makes them a lot easier to graph, so let's make sure that both lines are in slope-intercept form.

The first line isn't in slope-intercept form, so we can rewrite it as:

x + y = 2

y = -x + 2 (Subtract x from both sides of the equation to isolate y)

The second line technically isn't in slope-intercept form, so we can rewrite it as:

y = 2 - 3x

y = -3x + 2 (Commutative Property of Addition)

Now, we can graph the lines to find the solution to the system.

To graph y = -x + 2, draw a line with a slope of -1 (since m = -1) and a y-intercept of (0, 2) (since b = 2). This is the red line on the graph.

To graph y = -3x + 2, draw a line with a slope of -3 (since m = -3) and a y-intercept of (0, 2) (since b = 2). This is the blue line on the graph.

Looking at the graph below, we see that the lines intersect at (0, 2), so this is our answer.

To check if this point is a solution to the system of equations, simply substitute the x and y-coordinates of the point into the equations. If the point satisfies all of the equations, then it is a solution to the system.

In (0, 2), x = 0, and y = 2. Substituting these values into the first equation gives us 0 + 2 = 2, which simplifies to 2 = 2. This is a true statement, so (0, 2) satisfies the first equation. Substituting x = 0 and y = 2 into the second equation gives us 2 = 2 - 3 * 0, which simplifies to 2 = 2. This is also a true statement, so (0, 2) satisfies the second equation, and therefore is a solution to the system of linear equations. Hope this helps!

6 0
3 years ago
Someone help? I’m gonna fail pleaseeee. :(
Ilia_Sergeevich [38]

Answer:

-8 < x, the answer is B

Step-by-step explanation:

Since its starting from -8 and your going to the greater side of the numberline teh variable will be greater than -8, whenever the circle is filled it just means greater than or equal to depending on which side its going. If its filled in, it means that its greater than or equal to or less than or equal to depending on which side its going towards.

Reminder:

<--------------- Negative side/Lower -----------------------> Positive side/Greater

8 0
3 years ago
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