Area is base x height
4x2=8 cm
The denominator of a fraction cannot be zero.Therefore in h(x) = f(x)/g(x), g(x) cannot equal zero, x + 6 cannot equal zero, x cannot equal -6. The domain of h(x) is ℜ - {-6}.
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Let's say her speed was x miles/hour during the first 3 miles runThen, time = distance/speedt1 = 3/x eq1 In the next 4 miles run, her speed = x-1 miles/hourTime taken:t2 = 4/(x-1) eq2 Now, total time:t1 + t2 = 1 3/5 hourssubstitute t1 and t2 from eqs. 1 and 2 3/x + 4/(x-1) = 1 3/5=> 3/x + 4/(x-1) = 8/5
=> 3(x-1) + 4x = 8x(x-1)/5=> 35x - 15 = 8x2 - 8x=> 8x2 - 43x + 15 = 0=> (8x-3)*(x-5) = 0=> x = 3/8 or 5 miles/hourx can not be 3/8 miles/hour because in that case, the speed during 4 miles run would be 3/8-1 = negative numberi.e. speed during 3 miles segment = 5 miles/hourand speed during 4 miles segment = 5-1 = 4 miles/hour
<span>You have exactly $120 to spend on a new outfit. If your state has 8% sales tax, what is the highest pre-tax price you can pay without going over budget?8% of 120 is 110.4</span>
Hello! So, the jeans are 20% off of the original price. While she gets 20% off of the jeans, she still has to pay 80% of the price. To find out the discount price, multiply 38 by 80% (0.8). 38 * 0.8 is 30.4 $30.40 is the discount price. There is 5% tax on the item. First off, let's add 1 to the rate. 5% is 0.05 in decimal form. 1 + 0.05 is 1.05. We add 1 to the percentage rate, because adding that and multiplying that amount will bring us straight to the new price. Now, multiply 30.4 and 1.05 together to get the new price. When you do, you get 31.92. $31.92 is the price of the jeans. 31.92 < 32.50. Jackie has enough money to buy the jeans.
