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3 years ago

How many intersections are there of the graphs of the equations below? 1/2 x + 5y = 6 3x + 30y = 36 none one two infinitely many

Mathematics

2 answers:

ryzh [129]3 years ago

8 0

Once you graph the equation, you will notice that the lines are actually the exact same. If they’re the exact same your answer must be...
C. Infinitely Many

lilavasa [31]3 years ago

5 0

Answer:

Infinitely Many

Step-by-step explanation:

We are given system of equation.

$\frac{1}{2}x+5y=6$

$3x+30y=36$

We need to find intersection point of system of equation.

If we multiply first equation by 6

$6\times \frac{1}{2}x+6\times 5y=6\times 6$

$3x+30y=36$

Equation 1st is equivalent to 2nd equation.

If system of equation has same coefficient then number of solution is infinite.

Now we draw the graph of both function. Please see the attachment.

Hence, Infinitely many intersections of two equation.

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Find g(a - 1) when g(x) = 5x - 4.

lesya692 [45]

Answer:

${ \tt{g(x) = 5x - 4}}$

• solve when x is a - 1:

${ \tt{g(a - 1) = 5(a - 1) - 4}} \\ \\ { \tt{g(a - 1) = 5a - 5 - 4}} \\ \\ { \boxed{ \tt{g(a - 1) = 5a - 9 \: }}}$

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2 years ago

This is a payslip of Mr. Dube a48 years old male employee of a major clothing company

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Answer:

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3 years ago

19 please people i need help so bad

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3 years ago

A man hits a baseball when it is 4 ft above the ground with an initial velocity of 120 ft/sec. The ball leaves the bat at a 30 d

Sauron [17]

<span>et us assume that the origin is the floor right below the 30 ft. fence

To work this one out, we'll start with acceleration and integrate our way up to position.

At the time that the player hits the ball, the only force in action is gravity where: a = g (vector)
ax = 0
ay = -g (let's assume that g = 32.8 ft/s^2. If you use a different value for gravity, change the numbers.

To get the velocity of the ball, we integrate the acceleration
vx = v0x = v0cos30 = 103.92
vy = -gt + v0y = -32.8t + v0sin40 = -32.8t + 60

To get the positioning, we integrate the speed.
x = v0cos30t + x0 = 103.92t - 350
y = 1/2*(-32.8)t² + v0sin30t + y0 = -16.4t² + 60t + 4

If the ball clears the fence, it means x = 0, y > 30

x = 0 -> 103.92 t - 350 = 0 -> t = 3.36 seconds

for t = 3.36s,
y = -16.4(3.36)^2 + 60*(3.36) + 4
= 20.45 ft

which is less than 30ft, so it means that the ball will NOT clear the fence.

Just for fun, let's check what the speed should have been :)

x = v0cos30t + x0 = v0cos30t - 350
y = 1/2*(-32.8)t² + v0sin30t + y0 = -16.4t² + v0sin30t + 4

x = 0 -> v0t = 350/cos30
y = 30 ->
-16.4t^2 + v0t(sin30) + 4 = 30
-16.4t^2 + 350sin30/cos30 = 26
t^2 = (26 - 350tan30)/-16.4
t = 3.2s

v0t = 350/cos30 -> v0 = 350/tcos30 = 123.34 ft/s

So he needed to hit the ball at at least 123.34 ft/s to clear the fence.

You're welcome, Thanks please :)
</span>

6 0

3 years ago

Which of the following radical expressions has an absolute value symbol in its simplified form?

umka21 [38]

Answer:

The answer is option b, its absolute value in simplified form gives

$6\sqrt{2x^3} j$

Step-by-step explanation:

Which of the following radical expressions has an absolute value symbol in its simplified form?

Answer option

6√64x^6

3VWjZbdGugPfWdqwB2+ZNNUbUB29afvQFuZASCHvF-8x^3

5√32x^5

4VWjZbdGugPfWdqwB2+ZNNUbUB29afvQFuZASCHvF16x

6√64x^6

to solve this

48x^3

b. 3√-8x^3

3*2√-2x^3

6√2x^3*√-1

6√2x^3j

which is a complex notation

5√32x^5

5*4√2x^5

20√2x^5

4√16x

4*4√x

16√x

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3 years ago