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evablogger [386]
3 years ago
8

Hellllllllllllllllllllllllllp me plzzzzz

Mathematics
1 answer:
anzhelika [568]3 years ago
4 0

D. 7 miles

Step-by-step explanation:

26.5/4 =6.62

So the best estimate is 7 miles

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Three functions are given below: f(x), g(x), and h(x). Explain how to find the axis of symmetry for each function, and rank the
LuckyWell [14K]

Answer:

1. x=8 is the line of symmetry for f(x) = -4(x − 8)2 + 3

2. x=-2 is the line of symmetry of g(x) = 3x2 + 12x + 15

3. x=3 is the line of symmetry of h(x), shown in the graph.

Step-by-step explanation:

To find the line of symmetry of a vertical parabola (second degree polynomial), find the value of x that sets the squared term to zero.  This is a vertical line passing through the vertex of the second degree function.

1. f(x) = -4(x − 8)2 + 3

setting x=8 will give f(8) = 3, so x=8 is the line of symmetry

2. g(x) = 3x2 + 12x + 15

here, we need to complete the squares,

g(x) = 3x2 + 12x + 15

g(x) = 3(x^2+4x+5)

g(x) = 3(x^2 + 2(2x) +4 +1)

g(x) = 3((x+2)^2 +1)

So setting x=-2 will anihilate or cancel the squared term, therefore

x= -2 is the line of symmetry.

3. the curven shown in graph,

we see that the vertex is at x=3, so x=3 is the line of symmetry.

5 0
3 years ago
Need help ASAP! Which is the simplified form of the expression StartFraction (6 Superscript negative 4 Baseline) Superscript neg
Gelneren [198K]

Answer: D. 6^{30}

Step-by-step explanation:

Using exponent rules an exponent to the power of a number will multiply by each other.

So the -4 and -9 will multiply.

The 6 in the numerator will now have a positive exponent of 36.

\frac{6^{36}}{6^6}

Now we can divide and when we do so the exponents will subtract from each other.

So 36 - 6 = 30

And the base of 6 does not change.

The simplified form is 6^{30}

5 0
3 years ago
Read 2 more answers
Johnathan ran 5 days this week. The most he ran in one day was 3.5 miles. Write an inequality that shows the distance johnathan
Mekhanik [1.2K]

<em><u>An inequality that shows the distance Johnathan could of ran any day this week is:</u></em>

x\leq 3.5

<em><u>Solution:</u></em>

Let "x" be the distance Johnathan can run any day of this week

Given that,

Johnathan ran 5 days this week. The most he ran in one day was 3.5 miles

Therefore,

Number of days ran = 5

The most he ran in 1 day = 3.5 miles

Thus, the maximum distance he ran in a week is given as:

distance = 5 \times 3.5 = 17.5

The maximum distance he ran in a week is 17.5 miles

If we let x be the distance he can run any day of this week then, we get a inequality as:

x\leq 3.5

If we let y be the total distance he can travel in a week then, we may express it as,

y\leq 17.5

8 0
3 years ago
What is the volume of a rectangular prism with a length of 4 yards, width of 3 yards and height of 6 yards?
Lunna [17]
Volume= Length*Width*Height
V=(4)(3)(6)
V=72 yards cubed
The answer is A.
4 0
3 years ago
Find the equation of the line with slope = -2 and passing through (3,2). Write your equation in the form
horrorfan [7]

Answer:

Step-by-step explanation:

y - 2 = -2(x - 3)

y - 2 = -2x + 6

y = -2x + 8

3 0
3 years ago
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