If 21–(a–b)=2(b+9), and a=8, what is the value of b?

¿Cuántas soluciones tiene la ecuación 2 + 6 (x - 4) = 3x - 18 + 3x?

Elena-2011 [213]

Answer:

x is undefined

Step-by-step explanation:

2 + 6(x - 4) = 3x - 18 + 3x

Open the bracket

2 + 6x - 24 = 3x - 18 + 3x

collect the like terms

6x -3x - 3x = -18 +24 - 2

0x = 4

x = 4/0

x is undefined

3 0

3 years ago

How do you get the slope-intercept form for -2x+3y=15? Please show steps and explain

lukranit [14]

To convert an equation to slope intercept form, you have to isolate the y variable.

-2x + 3y = 15

Add 2x to both sides.

3y = 2x + 15

Divide all terms by 3.

<h3>y = 1.5x + 5 is the original equation in slope-intercept form.</h3>

I hope this answers your question!

8 0

3 years ago

How are the GCF and the LCM alike and diffrent? Please help

Daniel [21]

The Gcf is finding the greatest numbers the lcm is finding the least factor

and the are the same because your finding the common number> (means same number)

4 0

3 years ago

The U.S. Census Bureau announced that the median sales price in 2014 for new homes was $282,800 and the mean sales price was $34

victus00 [196]

Answer:

a) 0.9964

b) 0.3040

Step-by-step explanation:

Given data:

standard deviation = $90,000

Mean sales price =$345,800

sample mean = $370,000

Total number of sample = 100

calculate z score for [/tex](\bar x = 370000)[/tex]

$z = \frac{\bar x - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{370000 - 345800}{\frac{90000}{\sqrt{100}}}$

z = 2.689

P(x<370000) = P(Z<2.689)

FROM STANDARD NORMAL DISTRIBUTION TABLE FOR Z P(Z<2.689) = 0.9964

B)

calculate z score for (\bar x = 350000)

$z = \frac{\bar x - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{350000 - 345800}{\frac{90000}{\sqrt{100}}}$

z = 2.133

$P(350000 \leq \bar x \leq 365000) = P(0.467 \leq Z\leq 2.133) = P(Z\leq 2.133) - P(Z\leq 0.467)$

FROM NORMAL DISTRIBUTION TABLE Z VALUE FOR

$P(Z\leq 2.133) = 0.9836$

$P(Z\leq 0.467) = 0.6796$

SO, = 0.9836 - 0.6796 = 0.3040

4 0

3 years ago

What values of a and b make the equation true? StartRoot 648 EndRoot = StartRoot 2 Superscript a Baseline times 3 Superscript b

kramer

Option C: $a=3, b=4$ is the value of a and b

Explanation:

Given that the expression $\sqrt{648}=\sqrt{2^a\times3^b}$

We need to determine the value of a and b

Let us consider the term $\sqrt{648}$ and take the prime factorization of the term 648

Thus, we have,

648 divides by 2,

$648=2 \cdot 324$

324 divides by 2,

$648=2 \cdot 2 \cdot 162$

162 divides by 2,

$648=2 \cdot 2 \cdot 2 \cdot 81$

81 divides by 3,

$648=2 \cdot 2 \cdot 2 \cdot 3 \cdot 27$

27 divides by 3,

$648=2 \cdot 2 \cdot 2 \cdot 3 \cdot 3 \cdot 9$

9 divides by 3,

$648=2 \cdot 2 \cdot 2 \cdot 3 \cdot 3 \cdot 3 \cdot 3$

Thus, we have,

$\sqrt{648}=\sqrt{2^{3} \cdot 3^{4}}$

Therefore, equating the powers of 2 and 3, we get,

$a=3, b=4$

Hence, the value of a and b is 3 and 4

Thus, Option C is the correct answer.

4 0

3 years ago

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