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jok3333 [9.3K]
3 years ago
9

The equation 5y = 6 represents purchasing 5 tubs of yogurt for $6. Which of these equations are equivalent to the equation 5y =

6?
a
15y = 18
b
5y - 1 = 3
c
5y + 4 = 10
d
5y = 12
Mathematics
1 answer:
igomit [66]3 years ago
8 0

Answer: a 15y=18 and c 5y+4=10

Step-by-step explanation:

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Katy is on a path, moving towards a bridge. The given table represents a function that describes Katy’s distance from the bridge
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Answer:

D : Katy was 300 meters from the bridge, and it took her 6 minutes to reach the bridge.

Step-by-step explanation:

Recall that x represents the time walked

When you see the first entry on the table as: x=0, that means Katy is about to start her walk, and the value to the right which represents her distance from the bridge is 300 meters. So as her walk started she was 300 meters from the bridge.

Now look at the last entry pair at the bottom of the table: the value in the "x" column (that represents the number of minutes she walked) reads: 6, and the value to the right (next column) reads 0 (0 meters from the bridge)

This is telling us that Katy was at the bridge after 6 minutes of walk. So answer D is the correct answer representing the given table of time and distance values.

3 0
3 years ago
Find the x- and y- intercepts of parabola y=5x^2-16x+10
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Y-INTERCEPT

y = 5x^2 - 16x + 10

The y-intercept is where the equation/curve/parabola cosses the y-axis.

The y-axis is where x = 0. (The x-axis is where y = 0)

To find the y-intercept:

\text{y-axis} \rightarrow \text{x = 0} \rightarrow y = 5(0)^2 -16(0) + 10 = 10

The y-intercept must be at (0, 10)

X-INTERCEPT (ROOTS/SOLUTIONS)

y = 5x^2 - 16x + 10\\\text{make it equal 0}\\y = 0\\\therefore 5x^2 - 16x + 10 = 0

We need to use the quadratic formula

The quadratic formula helps us find what values of x make the equation = 0

Quadratic formula: x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

x=\frac{-(-16) + \sqrt{(-16)^2-4(5)(10)}}{2(5)}\\\\x = \frac{16 + \sqrt{256-200}}{10}\\x = \frac{16 + \sqrt{56}}{10}\\x = \frac{16 + 2\sqrt{14}}{10}\\x = \frac{8 + \sqrt{14}}{5}\\\\\\x=\frac{-(-16) - \sqrt{(-16)^2-4(5)(10)}}{2(5)}\\\text{doing the same thing...}\\\text{end up with...}\\x = \frac{8 - \sqrt{14}}{5}\\

The x-intercepts are at:

(\frac{8 + \sqrt{14}}{5}, 0)\\(\frac{8 - \sqrt{14}}{5}, 0)

5 0
2 years ago
What is the answer to 8k-4(k-1)+7-k
seropon [69]
8k-4k+4+7-k = 
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8 0
3 years ago
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kogti [31]

Answer: 1.6

Step-by-step explanation:

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nadezda [96]

Answer:

We can call the amounts of red, gray, and brown dye 1 1/8x, 3/4x and 5/8 x respectively and we can write the equation:

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5 0
3 years ago
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