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Dima020 [189]
3 years ago
6

A factor of the quadratic 6x2-11x-35

Mathematics
2 answers:
Fudgin [204]3 years ago
5 0
Slip and slide method
6x^2-11x-35

x^2-11x-210
(x-21)(x+10)
(x-(21/6))(x+(10/6))
(x-(7/2))(x+(5/3))
(2x-7)(3x+5)

Final answer: (2x-7)(3x+5)
mihalych1998 [28]3 years ago
4 0
Factor 6x^2-11x-35

6x^2-11x-35


= (3x+5)(2x-7)

Answer: (3x+5)(2x-7)
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What is the quotient of the following division problem (x+ 1)÷(x^2 + 3x +2)
seraphim [82]

Note: Actually, the division problem should be in reverse order. It should be given as (x^{2} +3x+2) / (x+1) ---------(i)

But according to the given problem (x + 1) / (x² + 3 x + 2).

Here, (x² + 3 x + 2) > (x + 1)

or, (x + 2) > 1

Concept: By using the property of division, if the numerator is less than the denominator then the quotient will always be 0 (zero)

Therefore the option (d) 0 will be the correct option.

6 0
3 years ago
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The moon is a sphere with radius of 959 km. Determine an equation for the ellipse if the distance of the satellite from the surf
Sergeeva-Olga [200]

Answer:

\frac{x^2}{1316^2}+\frac{y^2}{1669^2}=1

Step-by-step explanation:

An ellipse is the locus of a point such that its distances from two fixed points, called foci, have a sum that is equal to a positive constant.

The equation of an ellipse with a center at the origin and the x axis as the minor axis is given by:

\frac{x^2}{b^2}+\frac{y^2}{a^2} =1 \\\\where\ a>b

Since the distance of the satellite from the surface of the moon varies from 357 km to 710 km, hence:

b = 357 km + 959 km = 1316 km

a = 710 km + 959 km = 1669 km

Therefore the equation of the ellipse is:

\frac{x^2}{1316^2}+\frac{y^2}{1669^2}=1

5 0
3 years ago
Help
finlep [7]

Answer:

2(3x+6), 6(x+2), and 3(2x+4)

Step-by-step explanation:

8 0
3 years ago
Florence has a health insurance policy with a $1,500 deductable and 4% co-pay on the next $10,000. What would most likely increa
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The answer is D I believe fixed copays
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3 years ago
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Find g(4x)<br> g(x)=x²-4
7nadin3 [17]

Answer:

g(x) = x² - 4 is already in form of a variable, I.e., x

g(4x) takes another variable, I.e., 4x

Same as before, 4x takes over x:

=> g(4x) = (4x)² - 4

  • <em>(</em><em>ax</em><em>)</em><em>²</em><em> </em><em>=</em><em> </em><em>a</em><em>²</em><em>x</em><em>²</em><em>,</em><em> </em><em>where</em><em> </em><em>a</em><em> </em><em>is</em><em> </em><em>some</em><em> </em><em>arbitrary</em><em> </em><em>constant</em><em>.</em><em> </em>

<h3><u>Answer</u><u>:</u> </h3>

=> g(4x) = 16x² - 4

OR

=> g(4x) = 4{4x² - 1}

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3 years ago
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