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Usimov [2.4K]
3 years ago
11

Which ordered pair is the vertex of y= -|X+4|

Mathematics
1 answer:
nlexa [21]3 years ago
8 0

y = -|x + 4|

The coordinates of vertex of that function is (x; 0).

-|x + 4| = 0

|x + 4| = 0 ⇔ x + 4 = 0 |-4

x = -4

Answer: (-4; 0)

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The width of a rectangle is 4x−9.5 feet and the length is 9.5x+10 feet. Find the perimeter of the rectangle.
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Step-by-step explanation:

perimeter = the sum of all four sides so

perimeter = (4x-9.5) + (9.5x + 10)  + (4x - 9.5) + (9.5x + 10)  = 27x = 1

therefore x = 1/27  = .037 feet

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According to the Rational Root Theorem, the following are potential roots of f(x) = 60x2 – 57x – 18. Which is an actual root of
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Answer: The correct option is third, i.e., -\frac{1}{4}.

Explanation:

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The Rational Root Theorem states that the rational roots are in the form of,

r=\frac{\text{factors of constant term}}{\text{factor of leading coefficient}}

These rational roots are possible rational roots not the actual roots of f(x).

For actual roots of f(x), the value of the function is 0.

Put each value of x from the option in the function, if we get the value of f(x) is 0, then that value is the actual root of f(x).

Put x=3.

f(3)=60(3)^2-57(3)-18=351\neq 0

Put x=6

f(6)=60(6)^2-57(6)-18=1800\neq 0

Put x=-\frac{1}{4}

f(-\frac{1}{4})=60(-\frac{1}{4})^2-57(-\frac{1}{4})-18=0

Put x=-\frac{6}{5}

f(-\frac{6}{5})=60(-\frac{6}{5})^2-57(-\frac{6}{5})-18=136.8\neq 0

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3 years ago
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Help me pls iam confused
Alecsey [184]

Answer:

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Step-by-step explanation:

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