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joja [24]
3 years ago
5

Select all statements that are true of polynomials:

Mathematics
1 answer:
love history [14]3 years ago
4 0

True statements are highlighted.

Step-by-step explanation:

  • Step 1: Find the statements that are true.

⇒ 5a²b - 6ab³c + 3a^5 is a fifth degree polynomial. - It is true.  

Degree of first term is 2 + 1 = 3

Degree of second term is 1 + 3 + 1 = 5

Degree of third term is 5. This is the highest degree and so it is a fifth degree polynomial.

⇒ 5a²b - 6ab³c + 3a^5 has a leading term of 5. - it is false.

Leading term is the term with the highest degree, here it is not 5.

⇒ 5ab - 6abc + 3a contains three terms. - it is true.

Here, there are 3 terms in the polynomial - 5ab, 6abc, 3a

⇒ 12x - 10x^5 - 7 + 3x^4 is equivalent to -10x^5 + 3x^4 + 12x - 7 - it is true.

Rearranging the terms does not change the polynomial.

⇒ 12x - 10x^5 - 7 + 3x^4 has a leading term of -10x^5. - it is true.

Here, the term with the highest degree of x is -10x^5

⇒ 12x - 10x^5 - 7 + 3x^4 has a leading coefficient of 12. - it is false.

Here, the leading term is -10x^5, so leading coefficient is 10.

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arlik [135]
(f \circ g)(x)=2
8 0
3 years ago
I don’t know how to do this ! Help?
dybincka [34]

Answer:

The information we need is that the angle between the sides (that is, angle TVU for triangle TVU and angle WVX for triangle WVX) need to be equal.

These angles are vertically opposite angles, because they are formed by two lines crossing, so these angles are equal.

Step-by-step explanation:

The SAS Congruence Theorem says that if two triangles have 2 equal sides and the angle between these sides are also equal, the triangles are congruent.

In this question, we know that the sides UV and VW are congruent, as V is the midpoint of UW. We also know that TV = VX, so now we have two equal sides for each triangle.

The information we need is that the angle between the sides (that is, angle TVU for triangle TVU and angle WVX for triangle WVX) need to be equal.

These angles are vertically opposite angles, because they are formed by two lines crossing, so these angles are equal.

Now we can conclude that the triangles are congruent.

7 0
3 years ago
the height of an equivalent triangle is 15cm and it's perimeter is 36cm find the area of the triangle​
OlgaM077 [116]

Answer:

The area is 72 cm².

Step-by-step explanation:

Since it is equivalent triangle

h = b

so,

b + b + b (since all sides are equal)= 36 cm

3b = 36 cm

or, b = 36/3

so, b = 12 cm

so

area of triangle = (1/2)×b×h

= (1/2)×12cm×12cm

= 6cm × 12cm

= 72 cm²

4 0
3 years ago
Jessica has 20 pieces of candy in a bag: 2 mint sticks, 9 jelly treats, and 9 fruit tart chews. If she eats one piece every 10 m
dedylja [7]

Answer:

18.95%

Step-by-step explanation:

In this case what we must do is calculate the probability of eating a jelly treats first and then another jelly treats, being the final probability the multiplication of these events.

We know that there are 20 in total and that initially there are 9 jelly treats, so the first event is the probability:

9/20  

And the second event, with one less in each, would be:

8/19

The final probability then:

9/20 * 8/19 = 0.1895

So the probability of this happening is 18.95%

4 0
4 years ago
Read 2 more answers
.Choose the equation that represents the line that passes through the point (−1, 6) and has a slope of −3.
leonid [27]
Y=-3+3 answer do I need to explain?
5 0
3 years ago
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