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harina [27]
2 years ago
8

Given the functions f(x) = x2 + 6x − 1, g(x) = –x2 + 2, and h(x) = 2x2 − 4x + 3, rank them from least to greatest based on their

axis of symmetry.
Mathematics
2 answers:
Afina-wow [57]2 years ago
7 0

f(x), g(x), h(x) is the answer.

Mark Brainiest Plz!

nevsk [136]2 years ago
5 0
Axis of symmetry = x = -b/2a
where y = ax² + bx + c

f(x) = x² + 6x - 1 ⇒ a = 1 ; b = 6 ; c = -1
x = -(6)/2(1) = -6/2 = -3

g(x) = -x² + 2 ⇒ a = -1 ; b = 0 ; c = 2
x = -0/2(-1) = 0/-2 = 0

h(x) = 2x² - 4x + 3 ⇒ a = 2 ; b = -4 ; c = 3
x = -(-4)/2(2) = 4/4 = 1

least :       f(x) = x² + 6x - 1    ; axis of symmetry is -3
middle :    g(x) = -x² + 2         ; axis of symmetry is 0
greatest :  h(x) = 2x² - 4x + 3 ; axis of symmetry is 1
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Nadya [2.5K]

The ΔABR ≅ ΔACR are congruent by SAS theorem

Option D is the correct answer.

The missing diagram is attched with the answer.

<h3>What is a Triangle ?</h3>

A triangle is a polygon with three sides , three vertices and three angles.

SAS will be used to prove the congruence of ΔABR ≅ ΔACR

In both the triangle we have a common side , AR

AB = AC (given)

∠ B A R =  ∠R A C ( given equal)

So as the two side and the included angle is equal

Therefore the ΔABR ≅ ΔACR are congruent by SAS theorem

Option D is the correct answer.

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2 years ago
Solve the linear system by substitution 3c-2y=16<br> 5x+y=18
andrew11 [14]
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6 0
3 years ago
Dina planted a six-foot tree in her backyard which she expects to grow at the rate of 4 feet per year. Find the equation of the
Scrat [10]

Answer:

y = 6 + 4x

After 4 years, the tree would be 22 ft tall.

Step-by-step explanation:

Hi there!

Let x = the number of years that pass

Let y = the height of the tree (ft)

We're given that the 6-foot tree grows at a rate of 4 ft per year. This means that the height of the tree will be equal to 6 ft, the original height, plus another 4 ft every year that passes.

Height of tree = 6 feet + 4 feet × number of years that pass

y = 6 + 4x

To solve for how tall the tree would be 4 years after Dina plants it, replace x with 4, since 4 years have passed:

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Therefore, the tree would be 22 ft tall.

I hope this helps!

8 0
2 years ago
I need help with this please
Savatey [412]

Answer:

t = \frac{D-M}{Mr}

Step-by-step explanation:

Given

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7 0
3 years ago
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The length of a rectangle is five more than the width. The perimeter is 130cm. What is the area?
Evgen [1.6K]
<h2>Greetings!</h2>

Answer:

≅ 586.8

Step-by-step explanation:

Take x to be the width, if the length is 5x bigger than the width, then this can be shown by 5x.

The total perimeter is:

(2 * x) + (2 * 5x) because each side has another parallel one.

This means that 2x + 10x = 130

12x = 130

Divide both sides by 12:

\frac{12x}{12} = \frac{130}{12}

x = \frac{65}{6}

So the area = length * width

x * 5x = area

Substitute the values in:

\frac{65}{6} * (5*\frac{65}{6}) = 586.8055... ≅ 586.8

So the approximate area is 586.8


<h2>Hope this helps!</h2>
5 0
3 years ago
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