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ehidna [41]
2 years ago
14

Simplifythe expression to a polynomial in standard form. (4x-3)(-2x^2-7x-5)

Mathematics
2 answers:
Kisachek [45]2 years ago
7 0

Answer:

(4x -3)(-2x^2 -7x-5)

(-8x^3 -28x^2 -20x) +(6x^2 +21x +15)

-8x^2 -22x^2 +1x +15

MariettaO [177]2 years ago
4 0

Answer:

-4x^3-22x^2+x+15

Step-by-step explanation:

multiply each of the terms by the binomial

-4x^3+6x^2-28x^2+21x-20x+15

simplify

-4x^3-22x^2+x+15

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Does the graph above have an Hamiltonian circuit, Hamiltonian path, or neither? Paths and Circuits Help
Hatshy [7]

a. Only a Hamiltonian path

One such path is

1 → 2 → 0 → 4 → 3

which satisfies the requirement that each vertex is visited exactly once.

There is no Hamiltonian circuit, however, since it is impossible for any Hamiltonian path on this graph to visit vertex 0 exactly once.

6 0
2 years ago
4over5 n = 2over3. n = ____?<br>please helpp
olganol [36]

Answer:

n=0

Step-by-step explanation:

because 0 would be the only number that would make both sides equal

( i know it not the best explanation )

7 0
3 years ago
Find the equation of the tangent line to the curve (a lemniscate)
olya-2409 [2.1K]

Answer:

m=\frac{9}{13} and b=\frac{40}{13}

Step-by-step explanation:

The equation of curve is

2(x^2+y^2)^2=25(x^2-y^2)

We need to find the equation of the tangent line to the curve at the point (-3, 1).

Differentiate with respect to x.

2[2(x^2+y^2)\frac{d}{dx}(x^2+y^2)]=25(2x-2y\frac{dy}{dx})

4(x^2+y^2)(2x+2y\frac{dy}{dx})=25(2x-2y\frac{dy}{dx})

The point of tangency is (-3,1). It means the slope of tangent is \frac{dy}{dx}_{(-3,1)}.

Substitute x=-3 and y=1 in the above equation.

4((-3)^2+(1)^2)(2(-3)+2(1)\frac{dy}{dx})=25(2(-3)-2(1)\frac{dy}{dx})

40(-6+2\frac{dy}{dx})=25(-6-2\frac{dy}{dx})

-240+80\frac{dy}{dx})=-150-50\frac{dy}{dx}

80\frac{dy}{dx}+50\frac{dy}{dx}=-150+240

130\frac{dy}{dx}=90

Divide both sides by 130.

\frac{dy}{dx}=\frac{9}{13}

If a line passes through a points (x_1,y_1) with slope m, then the point slope form of the line is

y-y_1=m(x-x_1)

The slope of tangent line is \frac{9}{13} and it passes through the point (-3,1). So, the equation of tangent is

y-1=\frac{9}{13}(x-(-3))

y-1=\frac{9}{13}(x)+\frac{27}{13}

Add 1 on both sides.

y=\frac{9}{13}(x)+\frac{27}{13}+1

y=\frac{9}{13}(x)+\frac{40}{13}

Therefore, m=\frac{9}{13} and b=\frac{40}{13}.

5 0
3 years ago
The question is "the polynomial is even &amp; positive, does it have 3 or 4 zeros?
sergejj [24]
Even function is symmetrical about the y axis
not sure what it means if the polynomial is positive

the zeroes are how many times it hits the x axis
it hits 4 times so 4 zeros
4 0
3 years ago
Read 2 more answers
Congruent Triangles will mark brainiest with thorough explanation.
klasskru [66]

ASA

Angle-Side-Angle

AAS is the same but the order in different.

SAS is a no because there are no two S.

Can't determine bah! You can determine.

PLEASE BRAINLIEST

4 0
2 years ago
Read 2 more answers
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