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4 years ago

12

4x – 4 – 3x > 13 – 7x – 1 + 8

1 answer:

Rashid [163]4 years ago

4 0

If you would like to solve the inequation 4 * x - 4 - 3 * x > 13 - 7 * x - 1 + 8, you can do this using the following steps:

4 * x - 4 - 3 * x > 13 - 7 * x - 1 + 8
4 * x - 3 * x + 7 * x > 4 + 13 - 1 + 8
8 * x > 24 /8
x > 24/8
x > 3

The correct result would be x > 3.

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Simplify 7^-5/6*7^-7/6

DochEvi [55]

So the rule with multiplying exponents of the same base is $x^m*x^n=x^{m+n}$ . Apply this rule here:

$7^{-\frac{5}{6}}*7^{-\frac{7}{6}}=7^{-\frac{5}{6}+{-\frac{7}{6}}}=7^{-\frac{12}{6}}=7^{-2}$

Next, the rule with converting negative exponents into positive ones is $x^{-m}=\frac{1}{x^m}$ . Apply this rule here:

$7^{-2}=\frac{1}{7^2}=\frac{1}{49}$

<u>Your final answer is 1/49.</u>

<h2>------------------------------------------------</h2>

So an additional rule when it comes to exponents is $x^{\frac{m}{n}}=\sqrt[n]{x^m}$

In this case, your fractional exponent, x^9/7, would be converted to $\sqrt[7]{x^9}$ . However, I had just realized you can further expand this.

Remember the rule I had mentioned earlier about multiplying exponents of the same base? Well, you can apply it here:

$\sqrt[7]{x^9}=\sqrt[7]{x^7*x^2}=x\sqrt[7]{x^2}$

Your final answer would be $x\sqrt[7]{x^2}$

3 0

3 years ago

Lins father is paying $20 for a meal. He has 15%-off coupon for the meal. After the discount, 7% sales tax is applied, How much

tankabanditka [31]

Answer: $18.19

Step-by-step explanation:

The tax is applied after the discount so first find the discounted price:

= Price * ( 1 - discount rate)

= 20 * ( 1 - 15%)

= $17

The sales tax of 7% can then be applied:

= Price * ( 1 + tax rate)

= 17 * ( 1 + 7%)

= $18.19

3 0

3 years ago

The slope of a hill next to a highway decreases 2 vertical feet for every 3 horizontal feet away from the highway.

Novay_Z [31]

Slope is the change in Y ( vertical) over the change in X( horizontal).

The slope would be -2 /3

You would multiply the horizontal distance by the slope:

-2/3 x 12 = -8

The answer would be D. v(h)=-2/3h, and the vertical distance is -8 feet.

8 0

3 years ago

What is the circumference and area of a circle with a radius of 8 centimeters

Maksim231197 [3]

Answer:

Area= 64pi or 201.06

Circumference: 16pi or 50.265

Step-by-step explanation:

Area= \pi r^{2}

pi (8)^2 = 64pi or 201.06

Circumference= 2pir , 2(pi)8 = 16pi or 50.2

4 0

3 years ago

Help I was absent when she taught this

DedPeter [7]

Answer:

b

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers