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Maurinko [17]
3 years ago
8

Which polynomial function has a leading coefficient of 1, roots -2 and 7 with multiplicity 1, and root 5 with multiplicity 2?

Mathematics
1 answer:
geniusboy [140]3 years ago
3 0

Answer:

(D)

Step-by-step explanation:

If it has a leading coefficient of 1, then it can not (A) or (B) because they have a two in front of it. Next, we can check the roots -2 and 7. -2 goes with (x+2), while 7 goes with (x-7). Therefore, you can already see that the answer is (D). To make sure. let us check the root 5 with multiplicity of 2. 5 goes with (x-5), implying that there must be 2 (x-5)'s. Only (D) satifies that as well, so the answer must be (D).

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I dont know how to divide a line segment.
melamori03 [73]

From point A, draw a line segment at an angle to the given line, and about the same length. The exact length is not important. Set the compasses on A, and set its width to a bit less than one fifth of the length of the new line. Step the compasses along the line, marking off 5 arcs. Label the last one C. With the compasses' width set to CB, draw an arc from A just below it. With the compasses' width set to AC, draw an arc from B crossing the one drawn in step 4. This intersection is point D. Draw a line from D to B. Using the same compasses' width as used to step along AC, step the compasses from D along DB making 4 new arcs across the line. Draw lines between the corresponding points along AC and DB. Done. The lines divide the given line segment AB in to 5 congruent parts.

6 0
4 years ago
If 4 gallons of milk cost $16.76 how much would 7 gallons of milk cost
professor190 [17]
$16.76 divided by 4 = $4.19 each gallon
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8 0
4 years ago
A line passes through (3, -2) and (6,2). Write an equation for the line in point-slope form.
snow_lady [41]

Answer:

4x - 3y -18 = 0 or y = 4x/3 - 6

Step-by-step explanation:

We will have to find the slope of the line first

The formula for slope:

m =\frac{y_{2}- y_{1} }{x_{2} -x_{1} } \\m= \frac{-2-2}{3-6}\\ =\frac{-4}{-3}\\ =\frac{4}{3}

The standard form of equation of a line is:

y = mx + b

We know m,

So the equation will be:

y= \frac{4}{3}x+b

We have to find the value of b, for that we will put any one of the point in the equation

So, putting (6,2)

2 = 4/3 * 6 + b

2 = 8 +b

b = -6

Putting the value of m and b in the standard form of equation of line,

y = mx + b\\y = \frac{4}{3}x+(-6)\\y = \frac{4}{3} x - 6\\Multiplying\ both\ sides\ by\ 3\\3y = 4x - 18\\4x - 3y -18 = 0 ..

7 0
3 years ago
Perform the following calculations without rewriting the numbers in decimal form.
RSB [31]

Answer:

Answer will be 140\times 10^{13}

Step-by-step explanation:

We have to perform the calculation (1.42\times 10^{15}-2\times 10^{13}) without changing into decimal

1.42\times 10^{15} can be written as 142\times 10^{13}

So 1.42\times 10^{15}-2\times 10^{13}=(142\times 10^{13}-2\times 10^{13})

Now taking 10^{13} common

10^{13}(142-23)=140\times 10^{13}

6 0
3 years ago
What is the slope of a line perpendicular to<br><br> y =3/4 x+2
Irina18 [472]

Answer:

-3/4 slope

Step-by-step explanation:

y = 3/4 x +2 has a slope of 3/4

Perpendicular lines intersect.

So the slope of the perpendicular line must be opposite.

6 0
3 years ago
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