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inn [45]
3 years ago
15

Solve for x: 4(x + 2) = 3(x − 2) 1. −2 2. −4 3. −10 4. −14

Mathematics
2 answers:
miskamm [114]3 years ago
8 0

Your answer would be -14

Troyanec [42]3 years ago
8 0

4(x + 2) = 3(x − 2)

Mutiply the first bracket by 4

(4)(x)(4)(2)= 4x+8

Mutiply the second bracket by 3

(3)(x)(3)(-2)= 3x-6

4x+8= 3x-6

Move 3x to the other side

Sign changes from +3x to -3x

4x-3x+8= 3x-3x-6

4x-3x+8= -6

x+8= -6

Move +8 to the other side

Sign changes from +8 to -8

x+8-8= -6-8

x= -14

Answer: x= -14

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if the parent function is square root of x, describe the translation of this function square root x+7
kotykmax [81]

The function y=\sqrt{x} sits with its starting point at the origin. The function y=\sqrt{(x-h)}+k is translated h units to the left or right and k units up or down. Since our radicand, the value under the square root sign, is x+7, putting that into our standard form it would be x-(-7) because minus a negative is a positive. So we move the parent graph to the left (-7 moves to the left) 7 units. There is no number k so our function is not moving up or down. Only to the left 7.

8 0
3 years ago
You win an online auction for a toy. Your winning bid of $35 is 70% of your maximum bid. How much more were you willing to pay f
luda_lava [24]
35 = 70%

If you divide 35 by 7, you will find what 10% of your maximum bid is.
35/7 = 5
5 = 10%

Multiply your value of 10% by 10 to get 100%.
5*10 = 50

Your maximum bid would be $50. You actually spend $35. To find the amount more you were willing to pay, subtract the two values.
$50-$35 = $15

Answer: You were willing to pay 15 more dollars than you did.
5 0
3 years ago
The distance on a map between two locations is
Natalka [10]

Answer:

54 miles

Step-by-step explanation:

lets work in steps here:

1 in (24 miles) + 1 in (24 miles) = 2 in OR 48 miles

PLUS

**0.25 in (6 miles)

= 48+6 miles = 54 miles

** you know that 0.25=6 miles because 24/6 is 4. 100/4 is 0.25. simple division.

5 0
3 years ago
Read 2 more answers
What is the value of the expression?
victus00 [196]
To solve this we are going to use the unitary circle and the fact that tan \alpha = \frac{sin \alpha  }{cos \alpha }

From our circle we can infer that sin\frac{5 \pi }{3}= \frac{- \sqrt{3} }{2} and cos\frac{5 \pi }{3}= \frac{1}{2}.

Since tan \alpha = \frac{sin \alpha }{cos \alpha }, tan\frac{5 \pi }{3}= \frac{\frac{- \sqrt{3} }{2}}{\frac{1}{2} }
tan\frac{5 \pi }{3}=- \sqrt{3}

We can conclude that tan\frac{5 \pi }{3}=- \sqrt{3}.

5 0
4 years ago
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Need help with solving quadratics using the quadratic equation!
Charra [1.4K]
You need to solve the following equation:
-0.5x^2 +36x -161 = 451

Set right side to 0
-0.5x^2 +36x -612 = 0

Multiply by -2 to get rid of decimal and leading neg coefficient.
x^2 -72x + 1224 = 0

Use quadratic formula:
a = 1, b = -72, c = 1224

x = \frac{-(-72) \pm \sqrt{(-72)^2 -4(1)(1224)}}{2(1)} \\  \\ x = \frac{72 \pm \sqrt{288}}{2} \\  \\ x = 27.51, 44.49

Therefore the min price to have 451 profit is $27.51
3 0
3 years ago
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