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3 years ago

I need this answer please

Mathematics

1 answer:

julsineya [31]3 years ago

8 0

Answer:

3a+6b = 45

Multiply by 2

6a +12b = 90.....(1)

2a- 2b = -12

Multiply by 3

6a - 6b = -36 .....(2)

(1)-(2)

18b = 126

b= 7

3a+6b = 45

3a + 6(7) = 45

3a +42 = 45

3a = 3

a= 1

(a,b) = ( 1,7)

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Solve each absolute value inequality. Graph the solutions on a number line. |x-7|>1

N76 [4]

Answer:

x>8 and x<6

Step-by-step explanation:

well first the values of x-7 have to be greater than 1 or, less than -1

because if x-7=-2 then |-2|=2>1 satisfying the equation

so we have

$x-7>1\\\\x-7+7>1+7\\\\x>8$

and we have

$x-7$

to graph it it goes from (-∞,6)∪(8,∞)

8 0

3 years ago

I am having trouble solving for Y. I solved for X in the second equation, but I cannot seem to figure it out by substituting for

kumpel [21]

X - 2y = -10 --> x = 2y -10

3x + 5y = 25 --> 3(2y-10) + 5y = 25 --> 11y - 30 = 25 --> 11y = 55 --> y = 5

x = 2y -10 --> x = 2(5) -10 --> x =10 -10 --> x =0

Answer (0,5)

5 0

3 years ago

Need help ASAP

joja [24]

Part (1) : The solution is $729$

Part (2): The solution is $\frac{1}{16 x^{8}}$

Part (3): The solution is $\frac{2 x^{2}}{3 y z^{7}}$

Explanation:

Part (1): The expression is $3^{2} \cdot3^{4}$

Applying the exponent rule, $a^{b} \cdot a^{c}=a^{b+c}$ , we get,

$3^{2} \cdot 3^{4}=3^{2+4}$

Adding the exponent, we get,

$3^{2} \cdot3^{4}=3^6=729$

Thus, the simplified value of the expression is $729$

Part (2): The expression is $\left(2 x^{2}\right)^{-4}$

Applying the exponent rule, $a^{-b}=\frac{1}{a^{b}}$ , we have,

$\left(2 x^{2}\right)^{-4}=\frac{1}{\left(2 x^{2}\right)^{4}}$

Simplifying the expression, we have,

$\frac{1}{2^4x^8}$

Thus, we have,

$\frac{1}{16 x^{8}}$

Thus, the value of the expression is $\frac{1}{16 x^{8}}$

Part (3): The expression is $\frac{2 x^{4} y^{-4} z^{-3}}{3 x^{2} y^{-3} z^{4}}$

Applying the exponent rule, $\frac{x^{a}}{x^{b}}=x^{a-b}$ , we have,

$\frac{2x^{4-2}y^{-4+3}z^{-3-4}}{3}$

Adding the powers, we get,

$\frac{2x^{2}y^{-1}z^{-7}}{3}$

Applying the exponent rule, $a^{-b}=\frac{1}{a^{b}}$ , we have,

$\frac{2 x^{2}}{3 y z^{7}}$

Thus, the value of the expression is $\frac{2 x^{2}}{3 y z^{7}}$

8 0

3 years ago

The value of x for which the expressions 5(3x-4) equal to 2(2x+1)

notsponge [240]

Answer:

the value of x is 2.

Step-by-step explanation:

5(3x - 4) = 2(2x + 1)

15x - 20 = 4x + 2

15x - 4x = 2 + 20

11x = 22

x = 22/11

x = 2

5 0

3 years ago

You read 9.75 pages in your science book and 24.5 pages of a play for English class. It takes you 1.2 minutes to read each page

Sladkaya [172]

9.75 * 1.2 = 11.7
24.5 * .8 = 19.6

11.7+19.6= 31.3 minutes

hope this helped :)

4 0

3 years ago