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3 years ago

Solve the absolute value equation. Check for extraneous solutions: |9x-3|=12

Mathematics

1 answer:

STatiana [176]3 years ago

5 0

ANSWER: x=5/3, -1. Good luck. Hope this suffices.

Explanation for x=-1: |9x-3|=12. Lets take the absolute value brackets away for a sec. Add 3 to both sides 9x-3+3=-12+3, simplify: 9x=-9, divide both sides by nine:9x/9=-9/9. And that means that x=-1.

Explanation for x=5/3: |9x-3|=12. Add 3. 9x-3+3=12+3. Simplify: 9x=15. Divide both sides by 9. 9x/9=15/9. Simplify: x=5/3

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An angle measures 3pi/4 radians.<br> What is this angle's measure, in degrees?

Annette [7]

Answer:

135°

Step-by-step explanation:

To convert from radian measure to degree measure

degree measure = radian measure × $\frac{180}{\pi }$ , so

degree = $\frac{3\pi }{4}$ × $\frac{180}{\pi }$

Cancel π on numerator/denominator and 4, 180 by 4, leaving

degree = 3 × 45 = 135°

5 0

3 years ago

Read 2 more answers

YOUR TURN

Ivahew [28]

Answer:

$Width: \frac{3in}{8ft} = \frac{5in}{x} (cross multiply)$

= $40$ ÷3 ≈ 13.3ft

$Width: \frac {3in}{8ft} = \frac{6.5in}{x}$

= 17.3

$A=e$ × $w$

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8 0

2 years ago

Convert to smaller parts if possible

Triss [41]

Answer:

Row 1 -

1/3, 1/2, 1/3, 2/3, 2/3, 8/15, 1/2.

Row 2 -

3/4, 3/4, 2/7, 21/25, 5/6, 7/9, 1/3.

Row 3 -

3/20, 7/20, 3/25, 3/5, 3/5, 1, 3/2 OR 1 1/2.

Hope this helped you out.

7 0

3 years ago

Solve: 7 x + 2 y = 16; -21 x-6 y = 24 Solve : 7 x + 2 y = 16 ; -21 x - 6 y = 24

Marat540 [252]

Answer:

No solution

Step-by-step explanation:

<h3>Solving system of linear equations:</h3>

7x + 2y = 16 ----------------(I)

-21x - 6y = 24 -----------------(II)

$\sf \dfrac{a_1}{a_2}=\dfrac{7}{-21}=\dfrac{-1}{3}\\$

$\sf \dfrac{b_1}{b_2}=\dfrac{2}{-6}=\dfrac{-1}{3}$

$\sf \dfrac{c_1}{c_2} =\dfrac{16}{24}=\dfrac{2}{3}\\\\ \dfrac{a_1}{a_2}=\dfrac{b_1}{b_2} \neq \dfrac{c_1}{c_2}$

So, the lines are parallel and has no solution

7 0

1 year ago

PLEASE HELP ME!!!!

Anettt [7]

1. 8r + 4 = 10 + 2r
-4 -4
8r = 6 + 2r
-2r -2r
6r = 6
R= 1

2. -2(x + 3) = 4x - 3
-2x - 6 = 4x - 3
+3 +3
-2x -3 = 4x
+2x +2x
-3 = 6x
————-
6 6
-1/2 = x
3. 5 + 3(q - 4) = 2(q + 1)
5 + 3q - 12 = 2q + 2
-7 + 3q = 2q + 2
+7 +7
3q = 2q + 9
-2q -2q
Q = 9
4. 7x - 4 = -2x + 1 + 9x - 5
7x - 4 = 7x - 4
-7x -7x
-4 = -4
+4 +4
0 = 0
Infinite answers
5. 8x + 6 - 9x = 2 - x -15
-x +6 = - 13 - x
+ x +x
6 = -13
No solution

5 0

3 years ago

​Solve the absolute value equation. Check for extraneous solutions: |9x-3|=12

Solve the absolute value equation. Check for extraneous solutions: |9x-3|=12