$98-x^2=0\qquad\text{add}\ x^2\ \text{to both sides}\\\\98=x^2\to x^2=98\\\\x=\pm\sqrt{98}\\\\x=\pm\sqrt{49\cdot2}\\\\x=\pm\sqrt{49}\cdot\sqrt2\\\\\boxed{x=-7\sqrt2\ \vee\ x=7\sqrt2}$

8 0

3 years ago

Which expression is equivalent to 5 (w 4) when w = 9? 5 (9) 9 (5) 5 (9) 4 5 (9) 20.

pogonyaev

Expression consists of numbers, variables, and mathematical operations. The expression f(w)=5(w+4) is equal to f(9)=5(9)+20.

<h3>What is an Expression?</h3>

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The expression is given to you is,

$f(w)= 5(w+4)$

Now, if we solve the expression it can be written as,

$f(w)=5w+20$

substituting the value of w, we will get,

$f(9)=5(9)+20$

Hence, the expression f(w)=5(w+4) is equal to f(9)=5(9)+20.

Learn more about Expression:

brainly.com/question/13947055

6 0

2 years ago

Choose the correct answers for (a) the total installment price, (b) the carrying charges, and (c) the number of months needed to

Brrunno [24]

Part A:

Given that <span>a dinette table with a cash price of $200 is purchased at $8.50 down and $11.00 per month for 24 months

The total installment price is given by

$P=\$8.50+\$11(24) \\ \\ =\$8.50+\$264=\$272.50$

Part B:

The carrying charges is given by the total installation price minus the cash price.

From part a, we obtained that the total installation price is $272.50 and given that the cash price is $200.

Therefore, the carrying charges is given by

$272.50 - $200.00 = $72.00

Part C:

If the money is to be saved at $11 per month to be able to purchase the table at the cash price, the number of months it will take to be able to save $200 at $11 per month is given by

$\frac{\$200}{\$11} =18.18\, months$

Therefore, it will take 19 months </span><span>to save the money at the monthly rate needed to buy the item for its cash price.</span>

3 0

3 years ago

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