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2 years ago

Can someone explain this question?I know the answer is t=0 but don't know why:(

Mathematics

2 answers:

irina [24]2 years ago

6 0

Uh, I think this is so because the quadratic graph is symmetrical about the y-axis. And the equation of line of symmetry usually is x is equals to something since the line of symmetry is a vertical line. Hence the equation of line of symmetry in this case is t=0 because the line is at the y axis where the value of x axis is 0

Dafna1 [17]2 years ago

5 0

Answer:

Step-by-step explanation:

Your axis of symmetry is always going to be related to the x-point of your vertex. In this case, it looks like the vertex of the parabola is (0, 9). The vertex is the highest (or lowest) point of the parabola and is even on both sides. This means that, in order to be symmetrical, you would need to divide this parabola down "0."

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Rose bought a bag of potatoes for $6.00 and some granola bars for $5.25 per package. Her total bill was $74.25. How many package

neonofarm [45]

Answer:

Rose bought 14 packages of granola bars.

Step-by-step explanation:

Total bill = 1 bag of potatoes + x amount of packages of granola bars

Total bill = $74.25

1 bag of potatoes = $6.00

1 package of granola bar = 5.25

We set the equation to:

74.25 = 6.00 + 5.25x

Subtract 6.00 from both sides:

68.25 = 5.25x

Divide both sides by 5.25 to leave x by itself

68.25/5.25 = 5.25x/5.25

13 = x

This means Rose bought 13 packages of granola bars.

Let's recheck our work by inputting x = 13 into the equation:

74.25 = 6.00 + 5.25(13)

74.25 = 6.00 + 68.25

74.25 = 74.25

7 0

2 years ago

If two lines are perpendicular then their slopes have the product ________

7nadin3 [17]

The product of two perpendicular slopes is always -1

5 0

3 years ago

The formula T= 2pi sqrt(L/32) relates the time, T, in seconds for a pendulum with the length, L, in feet, to make one full swing

tester [92]

The length of pendulum is 2.485 feet

<h3><u><em>Solution:</em></u></h3>

Given that,

The formula T= 2pi sqrt(L/32) relates the time, T, in seconds for a pendulum with the length, L, in feet, to make one full swing back and forth

<u><em>Therefore, the given formula is:</em></u>

$T=2\pi \sqrt{\frac{L}{32} }$

We have to find the length of pendulum that makes one full swing in 1.75 seconds

So the modify the given equation to find "L"

$T=2\pi \sqrt{\frac{L}{32} }\\\\ \sqrt{\frac{L}{32} }=\frac{T}{2 \pi}\\\\\text{Taking square root on both sides }\\\\\frac{L}{32} = \frac{T^2}{4 \pi^2}\\\\L = \frac{T^2}{4 \pi^2} \times 32\\\\L = \frac{T^2}{\pi^2 } \times 8$

Substitute T = 1.75 seconds and $\pi = 3.14$

$L = \frac{1.75^2}{3.14 \times 3.14} \times 8\\\\L = \frac{3.0625}{9.8596} \times 8\\\\L = 2.485$

Thus length of pendulum is 2.485 feet approximately

7 0

3 years ago

Solve ; 7/x-3/2x+7/6=9/x

german

Answer:

x = 3

Step-by-step explanation:

7/x - 3/(2x) + 7/6 = 9/x

x(7/x - 3/(2x) + 7/6) = x(9x)

x*7/x - 3*x/(2x) + x*7/6 = x*9x

7 - 3/2 + 7x/6 = 9

7x/6 = 9 - 7 + 3/2

7x/6 = 2 + 3/2

7x/6 = 12/6 + 9/6

7x = 12+9

7x = 21

x = 21/7

x = 3

probe:

7/3 - 3/(2*3) + 7/6 = 9/3

14/6 - 3/6 + 7/6 = 3

(14 - 3 + 7) / 6 = 3

18/6 = 3

6 0

2 years ago

5 rows of 4 snack-size boxes of cereal in its bottom layer and is 3 layers high

leva [86]

For this problem, you're finding volume. The expression for volume is l•w•h (length times width times height).

5 0

3 years ago