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3 years ago

Can someone please help me answer this question ASAP.

Mathematics

1 answer:

WARRIOR [948]3 years ago

7 0

Answer:

(-8, -1)

Step-by-step explanation:

The problem tell us that y = -1. Plug in this y-value to wherever you see a y in the first equation. You should be able to solve from there. Your solution will be (-8,-1).

-2x - 3(-1) = 19

-2x + 3 = 19

-2x = 16

x = -8

For this particular problem, you could have also looked at the answer choices and seen that there was only one answer with the correct y-value.

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Find all real $x$ that satisfy $$(2^x - 4)^3 (4^x - 2)^3 = (4^x 2^x - 6)^3. $$

fomenos

The polynomial-like expression is satisfied by the real value x = 1.

<h3>How to determine the real solution of a polynomial-like expression</h3>

In this question we must apply the concepts of logarithms and algebra properties to solve the entire expression. Initially, we expand the right part of the expression:

$(2^{x}-4)^{3}+(4^{x}-2)^{3} = (4^{x}+2^{x}-6)^{3}$

$(2^{x}-4)^{3} + (4^{x}-2)^{3} = [(2^{x}-4)+(4^{x}-2)]^{3}$

$(2^{x}-4)^{3}+(4^{x}-2)^{3} = (2^{x}-4)^{3}+3\cdot (2^{x}-4)^{2}\cdot (4^{x}-2)+3\cdot (2^{x}-4)\cdot (4^{x}-2)^{2}+(4^{x}-2)^{3}$

$3\cdot (2^{x}-4)^{2}\cdot (4^{x}-2)+3\cdot (2^{x}-4)\cdot (4^{x}-2)^{2} = 0$

$2^{x}-4 + 4^{x}-2 = 0$

$2^{x}\cdot 2^{x} + 2^{x}-6 = 0$

$u^{2}+u - 6 = 0$

$(u+3)\cdot (u-2) = 0$

Hence, the roots of the pseudopolynomial are $u_{1} = -3$ and $u_{2} = 2$ . Only the second one have a real value of x. Hence, we have the following solution:

$2^{x} = 2$

$x\cdot \log 2 = \log 2$

$x = 1$

The polynomial-like expression is satisfied by the real value x = 1. $\blacksquare$

To learn more on logarithms, we kindly invite to check this verified question: brainly.com/question/24211708

7 0

3 years ago

If f(x)=sqrt of (4sinx+2) then f'(0)=

Fantom [35]

We are given the function f(x)=sqrt of (4sinx+2) and is asked to find the first derivative of the function when x is equal to zero.

f(x)=sqrt of (4sinx+2)
f'(x) = 0.5 (4sinx+2) ^ -0.5 * (4cosx)
f'(0) = 0.5 (4sin0+2) ^ -0.5 * (4cos0)
f'(0) = 0.5 (0+2) ^ -0.5 * (4*1)
f'(x) = 0.5 (2) ^ -0.5 * (4)
f'(x) = -.1.65

7 0

4 years ago

The corner store sells a super-size granola bar for $4. How much do eleven super-size granola bars cost?

Elden [556K]

Answer:

44 dollars

Step-by-step explanation:

if one super-size gronola bar costs $4

Then 11 x 4 = 44

6 0

3 years ago

Read 2 more answers

Determine if the ordered pairs are a function [(1,3) (-1,3) (0,7) (2,5)] Yes No

Olegator [25]

Answer:

Yes

Step-by-step explanation:

It is a function because the x's are not repeating.

The x's are 1, -1, 0, and 2. They are not repeating.

Remember it is a function if the x's don't repeat.

Hope this helps ya!!

5 0

3 years ago

A baker’s dozen doughnuts at the bakery costs 5.49 if a bakers dozen estimate how does one donut cost to the nearest cent

Kryger [21]

Answer:

0.46 per donut. 46 cents

Step-by-step explanation:

5.49/12=0.4575

Rounding to the nearest cent is about 46 cents per donut.

4 0

2 years ago