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gizmo_the_mogwai [7]

3 years ago

6

Which set of ordered pairs represents y as a function of x?

1 answer:

KatRina [158]3 years ago

8 0

Answer:

(2,8), (3,5),

Step-by-step explanation:

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If 5 + 20 times 2 Superscript 2 minus 3 x Baseline = 10 times 2 Superscript negative 2 x Baseline + 5, what is the value of x? –

sp2606 [1]

Answer:

<h3>Option D) 3 is correct</h3><h3>Therefore the value of x is 3</h3>

Step-by-step explanation:

Given equation is $5+20\times (2)^{2-3x}=10\times (2)^{-2x}+5$

<h3>To find the value of x :</h3>

First solving the given equation we have,

$5+20\times (2)^{2-3x}=10\times (2)^{-2x}+5$

$5+20\times (2)^{2-3x}-5=10\times (2)^{-2x}+5-5$

$20\times (2)^{2-3x}=10\times (2)^{-2x}$

$20\times (2)^2.(2)^{-3x}=10\times (2)^{-2x}$

$20\times 4.(2)^{-3x}=10\times (2)^{-2x}$

$80(2)^{-3x}=10\times (2)^{-2x}$

$\frac{80}{10}(2)^{-3x}=\frac{10\times (2)^{-2x}}{10}$

$8(2)^{-3x}=(2)^{-2x}$

$\frac{(2)^{-3x}}{(2)^{-2x}}=\frac{1}{8}$

$(2)^{-3x}.(2)^{2x}=\frac{1}{2^3}$ ( by using the property $\frac{1}{a^{-m}}=a^m$ )

$2^{-3x+2x}=\frac{1}{2^3}$ ( by using the property $a^m.a^n=a^{m+n}$ )

$2^{-x}=\frac{1}{2^3}$

$\frac{1}{2^x}=\frac{1}{2^3}$ ( by using the property $a^{-m}=\frac{1}{a^m}$ )

Since bases are same so powers are same

Therefore we can equate the powers we get x=3

<h3>Therefore the value of x is 3</h3><h3>Option D) 3 is correct</h3>

5 0

3 years ago

Read 2 more answers

635% at a mixed number

Stells [14]

Answer:

6 35/100 or six and 35 of 100

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

The consecutive angles of a parallelogram measure (x+30) and 4x°. What is the measure of the smallest

Sophie [7]

Answer:

60

Step-by-step explanation:

180=(x+30)+(4x)

Ok, combine like terms. That'll give you

180=5x+30.

Now solve for x. X is going to equal 30.

Then substitute 30 for x in the angles. One angle will be 60 and the other will be 120.

60 is smaller than 120 so that's your answer.

6 0

3 years ago

What kind of context clue provides the meaning of a word directly in the sentence?

____ [38]

Answer:

The answer is definition.

Hope i helped

3 0

3 years ago

A pumpkin is launched directly upwards at 72 feet per second from a platform 24 feet high. The pumpkins height, h, at time t sec

STALIN [3.7K]

Answer: Maximum height = 105 feet

And, It takes 9/4 seconds to reach that point.

Step-by-step explanation:

Here the given function that shows the height of the pumpkin,

$h(t) = -16t^2 + 72t + 24$ --------(1)

Where t is the time in second.

Differentiating equation (1) with respect to t,

We get, $h'(t) = -32 t + 72$

Again differentiating above equation with respect to t,

We get, $h''(t) = -32$

For maximum or minimum, $h'(t) = 0$

$- 32 t + 72 = 0$

$32 t = 72$

$t = \frac{9}{4}$

At t = 9/4 , h''(t) = Negative value,

Therefore, At t = 9/4 seconds, h(t) is maximum,

And, the maximum value is,

$h(\frac{9}{4} ) = -16(\frac{9}{4})^2 + 72(\frac{9}{4}) + 24$

$h(\frac{9}{4} ) = -16(\frac{81}{16})+ 72(\frac{9}{4}) + 24$

$h(\frac{9}{4} ) = -81 + 162 + 24=105$

Therefore, the maximum height of the pumpkin is 105 feet at 9/4 seconds

8 0

3 years ago