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3 years ago

Is x^2-49 a difference of two squares?

1 answer:

4 0

Yes! To factor this, you would put it into expanded form: (x+7)(x-7). This is the only way to solve this and eliminate the x^1 term.

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What is the value of the expression "two less than six times the difference of a number and five" when n = 9?

vova2212 [387]

Answer:

Step-by-step explanation:

6 - 2 x (n - 5) = 16

n = 9

3 0

3 years ago

Solve: 2/3x - 3/4 = 5 + 5/6x

Slav-nsk [51]

Answer:

$\large\boxed{x=-\dfrac{69}{2}\to x=-34\dfrac{1}{2}\to x=-34.5}$

Step-by-step explanation:

$\dfrac{2}{3}x-\dfrac{3}{4}=5+\dfrac{5}{6}x\qquad\text{multiply both sides by LCD = 12}\\\\12\!\!\!\!\!\diagup^4\cdot\dfrac{2}{3\!\!\!\!\diagup_1}x-12\!\!\!\!\!\diagup^3\cdot\dfrac{3}{4\!\!\!\diagup_1}=(12)(5)+12\!\!\!\!\!\diagup^2\cdot\dfrac{5}{6\!\!\!\diagup_1}x\\\\(4)(2x)-(3)(3)=60+(2)(5x)\\\\8x-9=60+10x\qquad\text{add 9 to both sides}\\\\8x-9+9=60+9+10x\\\\8x=69+10x\qquad\text{subtract}\ 10x\ \text{from both sides}\\\\8x-10x=69+10x-10x\\\\-2x=69\qquad\text{divide both sides by (-2)}\\\\x=-\dfrac{69}{2}$

7 0

3 years ago

How do you put 36 000 in words

Alenkinab [10]

Thirty six thousand.....

6 0

3 years ago

X^3 times x^? equals to x^17 <br><br> what’s the missing exponent?

ElenaW [278]

Answer:

Step-by-step explanation:

The applicable rule of exponents is ...

(a^b)(a^c) = a^(b+c)

You have ...

(x^3)(x^a) = x^17

x^(3+a) = x^17

Equating exponents, we get ...

3 +a = 17

a = 14

The missing exponent is 14.

5 0

4 years ago

Adult tickets to Space City amusement park cost x dollars. Children's tickets cost y dollars. The Garcia family bought 3 adult a

KengaRu [80]

let the number of adult tickets be x and the number of children tickets be y

3x + y = 164...equ(1)

2x + 3y = 174....equ(2)

multiplying equation 1 by 3

9x + 3y = 492

subtracting equation 2 from 1

7x = 318

x = 45.43 dollars

substituting the value of x into the equation

3(45.428) + y = 164

y = 164 - 3(45.428)

∴y = 27.71 dollars

8 0

3 years ago