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boyakko [2]
2 years ago
10

Choose a missing numbers that make the following expression equivalent ____x + 14 and 7 ( 5 x + _____ )​

Mathematics
1 answer:
mylen [45]2 years ago
7 0

Answer:

35x + 14 and 7(5x + 2)​

Step-by-step explanation:

We have to find the missing values that would also make both expressions equivalent.

_x + 14 and 7(5x + _ )​

In the expression, there are some similarities with the placement of the numbers and variables.

Let find the value of the number next to "x".

You can see that we have to use the distributive property to solve the right expression, and once we do so, we can find our first value.

Use the distributive property:

7(5x)

35x

Now we know that our first value is 35x.

To find our second value, we see that in the first equation it is "14", so we need a number that can be multiplied by 7 to make 14.

7 · 2 = 14

Our second number would be 2.

Your final answer would be: 35x + 14 and 7(5x + 2)​

Once you use the distributive property for the second expression, you would get an equivalent expression as the first one.

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An acrobat is on a platform that is 25 feet in the air. She jumps down in the initial velocity of 4 feet/seconds . Write the qua
Alenkasestr [34]

Answer:

a) h(t) = -16t²+ 4t + 25

b) Therefore it would take her 1.25 seconds to land safely in the net.

Step-by-step explanation:

The equation to be used is given as

h(t) = –gt²+ vt + S(t)

where g = force of gravity and because our question is in feet's = 16

V= Initial velocity

h = height

S = distance

a) The quadratic function for the above question

Using the formula

v = Initial velocity in the question = 4ft/s

S(t) = 25ft in the air

Hence the Quadratic function is

h(t) = –gt²+ vt + S(t)

h(t) = -16t²+ 4t + 25

b) If the safety net is placed 5 feet above the ground, how long will it take her to land safely in the net?

We are to find the time(t)

We can calculate this by using the quadratic function we derived in question (a)

The quadratic function is

h(t) = -16t²+ 4t + 25

Where, the height (h) = 5 feet above the ground

5= -16t² + 4t + 25

-16t² + 4t + 25 -5 = 0

-16t² + 4t + 20 = 0

Using the quadratic equation formula of

x = -b ± √b² -4ac /2a

where the quadratic equation =

ax² + bx + c = 0

a = -16 , b = 4 , c = 20

x = -16 ± √4² - 4×-16×20 / 2×-16

x = -1 or ,1.25

Therefore it would take her 1.25 seconds to land safely in the net

6 0
3 years ago
Wyatt solved the following equation:
ohaa [14]

Answer:

x = 2

Step-by-step explanation:

x + 1/2 (6x - 4) = 6

Expand the brackets.

x + 3x - 2 = 6

Add like terms.

4x - 2 = 6

Add 2 on both sides.

4x = 6 + 2

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Answer:

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Step-by-step explanation:

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