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Darina [25.2K]
3 years ago
8

(___ −2a)2 = 9b2− ___ + ___

Mathematics
1 answer:
marshall27 [118]3 years ago
7 0

Answer:

\large\boxed{(3b-2a)^2=9b^2-12ab+4a^2}

Step-by-step explanation:

\text{Use}\ (a-b)^2=a^2+2ab+b^2\\\\(x-2a)^2=x^2-(2)(x)(2a)+(2a)^2=9b^2-\underline{\ \ \ \ }+\underline{\ \ \ \ }\\\\\text{Therefore}\ x^2=9b^2\\\\x^2=3^2b^2\\\\x^2=(3b)^2\to x=3b\\\\(3b-2a)^2=(3b)^2-(2)(3b)(2a)+(2a)^2=9b^2-12ab+4a^2

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The graph of g(x)=(0.75)x+2 is shown.
Andrei [34K]

we are given

f(x)=(0.75)^x+2

For finding asymptote , we can find limit

\lim_{x \to \infty} f(x)= \lim_{x \to \infty}((0.75)^x+2)

\lim_{x \to \infty} f(x)= \lim_{x \to \infty} (0.75)^x+\lim_{x \to \infty} 2)

now, we can solve it

\lim_{x \to \infty} f(x)= 0+2

\lim_{x \to \infty} f(x)= 2

so, horizontal asymptote is

y= 2.............Answer

6 0
3 years ago
7<4q-9 ALGEBRA:) Need help Please! Gracias!!
Vanyuwa [196]

Answer:

q > 4

Step-by-step explanation:

Step 1: Write inequality

7 < 4q - 9

Step 2: Solve for <em>q</em>

<u>Add 9 to both sides:</u> 16 < 4q

<u>Divide both sides by 4:</u> 4 < q

Here, we can see that any number greater than 4 will work. So even 23573489079357 would work, as long as it is greater than 4.

6 0
3 years ago
Daniela buy records for 9$ each she buys 8 records how much money does Daniela spend
seropon [69]

Answer:

FGCG

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
A national survey indicated that 50​% of adults conduct their banking online. It also found that 20​% are younger than​ 50, and
Arisa [49]

Answer:

The probability that a person is younger than 50 given that she uses onling banking is 1.5%

Step-by-step explanation:

The survey indicated that 50% of adults conducts their banking online.

P(online banking customers) =1/2

Of the total number of customer that bank online, the survey stated that 20% of them are younger than 50 years.

P(customers younger than 50 yrs) =1/5

Out of the 20% than are younger than 50, we were told that 15% of them conduct online banking.

P(younger than 50 online banking customer) =3/20

Therefore the the probability that a = person is younger than 50 given that she uses online banking is  P = 3/20*1/5*1/2 =17==3/200 = 0.015 =1.5%

The probability that she is younger than 50 does not increase or decrease with additional information, it only makes it clearer.

3 0
4 years ago
Help please!!! I don't understand
zaharov [31]

\left|x-\dfrac 12\right| = 3\dfrac 23\\\\\\\implies \left|x- \dfrac 12 \right| = \dfrac{11}3\\\\\\\implies x-\dfrac 12 = \dfrac{11}3 ~~~~~~~~~ \text{or}~~~~~~~ x - \dfrac 12 = - \dfrac {11}3\\\\\\\implies 2x -1 = \dfrac{22}3 ~~~~~~~~ \text{or}~~~~~~~~2x-1 =-\dfrac{22}3\\

\implies x =\dfrac 12\left(\dfrac{22}3 +1 \right) ~~ \text{or}~~~~~~~~ x = \dfrac 12 \left(1-\dfrac{22}3\right)}\\\\\\\implies x = \dfrac{25}6~~~~~~~~~~~~~~~ \text{or}~~~~~~~~ x=-\dfrac{19}6\\\\\\\implies x = 4\dfrac 16 ~~~~~~~~~~~~~~~ \text{or}~~~~~~~~x = -3\dfrac16

6 0
2 years ago
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