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madam [21]
4 years ago
5

Solve the system of linear equations below. Show all your steps. -6x-4y=-14 8x+ 2y=17

Mathematics
2 answers:
RUDIKE [14]4 years ago
6 0
The answer to the question

OverLord2011 [107]4 years ago
4 0

Answer:

x = 2 and y = 1/2

Step-by-step explanation:

To solve the system of equations, use elimination. First get the coefficients of at least one variable matching then add/subtract to eliminate the variable. Then solve for the next variable.

Multiply the equation 8x + 2y = 17 by 2 so it becomes 16x + 4y = 34.

Stack the equations and add.

-6x - 4y = -14

16x + 4y = 34

-------------------

10x = 20

x = 2

Substitute x = 2 and solve for y.

-6(2) - 4y = -14

-12 - 4y = -14

-4y = -2

y = -2/-4

y = 1/2

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A watermelon is launched from a 25-foot tall platform at a carnival. The watermelon's height h (in feet) at time t seconds can b
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Answer:

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Step-by-step explanation:

The watermelon reaches its maximum height when its velocity is zero. Mathematically speaking, velocity is the first derivative of the function height, that is:

v(t) = \frac{d}{dt} h(t) (1)

Where v(t) is the velocity, in feet per second.

If we know that h(t) = -16\cdot t^{2}+56\cdot t +25 and v(t) = 0\,\frac{ft}{s}, then the time associated with maximum height is:

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Now we evaluate the function height at time found in the previous step: (t = 1.75\,s)

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3 years ago
Tabatha is making hair bows for her cheer squad. She has 3 1/3 yards of pink ribbon. She needs a total of 35 feet of pink ribbon
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Answer:

<u>Tabatha needs 25 feet of additional feet of pink ribbon to complete all the hair bows.</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Amount of pink ribbon Tabatha has = 3 1/3 yards

Amount of pink ribbon Tabatha needs to make all the hair bows = 35 feet

2. How many more feet of ribbon will Tabatha need to complete all the hair bows?

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