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NNADVOKAT [17]
3 years ago
6

Help me on this one IM CONFUSED!!!!!!!!! WINNER GETS BRAINLEST

Mathematics
1 answer:
Lorico [155]3 years ago
8 0
It’s 42.5 like the other girl sayied
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Given the functions f(x) = 4x2 − 1, g(x) = x2 − 8x + 5, and h(x) = –3x2 − 12x + 1, rank them from least to greatest based on the
kvasek [131]
The axis of symmetry of a quadratic function f(x)=ax^2+bx+c is given by the equation x=h, where h is the x-coordinate of the vertex and is equal to \frac{-b}{2a}.

1.
f(x)=4x^2-1 \\
a=4 \\ b=0 \\ \Downarrow \\
h=\frac{-0}{2 \times 4}=0 \\ \\
\hbox{the axis of symmetry:} \\
x=0

2.
g(x)=x^2-8x+5 \\
a=1 \\ b=-8 \\ \Downarrow \\ h=\frac{-(-8)}{2 \times 1}=\frac{8}{2}=4 \\ \\
\hbox{the axis of symmetry:} \\
x=4

3.
h(x)=-3x^2-12x+1 \\
a=-3 \\ b=-12 \\ \Downarrow \\ h=\frac{-(-12)}{2 \times (-3)}=\frac{12}{-6}=-2 \\ \\
\hbox{the axis of symmetry: \\
x=-2

The functions ranked from least to greatest based on their axis of symmetry: h(x), f(x), g(x).
7 0
3 years ago
Malcolm has $638.54 in his checking account. He must maintain a $500 balance to avoid a fee. He wrote a check for $159.50 today.
gogolik [260]

Answer:

638.54-159.50+×> 500

Choose 3

Step-by-step explanation:

638.54-159.50=488.04

So the number added must make the value greater or equal to 500

7 0
3 years ago
A right triangle has a leg of 15 feet and a second leg of 24 feet. Find the length of the hypotenuse
Lorico [155]

Answer:

9

Step-by-step explanation:

-

4 0
3 years ago
3. A penny is made by combining 0.1 g of a copper alloy that costs $5.50 per kilogram (1000 grams) with
lbvjy [14]
.0001*5.5 + 1.5*x = 2
x=1.33 kg
6 0
3 years ago
What is the length of the major axis of the conic section shown below?
sveticcg [70]

\dfrac{(x-2)^2}{49}+\dfrac{(y+5)^2}{36}=1

The equation of a elipse:

\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}=1

The length of the major axis is equal 2a if a > b or 2b if b > a.

We have

a^2=49\to a=\sqrt{49}=7\\\\b^2=36\to b=\sqrt{36}=6\\\\a > b

therefore the length of the major axis is equal 2 · 7 = 14.

7 0
4 years ago
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