Esmeralda bought " p" pounds of peanuts at $3 per pound and " a" pounds of almonds at $6 per pound . write an algebraic expression for the cost of Esmeralda's purchase.

Answers

Answer 1

Answer: answer would be 3p+6a

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What is the square root of the number 441? How do you know this and how did you solve this?

Answers

the square root of 441 is 21. for this kind of question you should know 11^2 is 121 so now you should choose a bigger number for 441. it does not have any formula. :))
i hope this is helpful
have a nice day

A scale drawing of Jack's living room is shown below:If each 2 cm on the scale drawing equals 10 feet, what are the actual dimensions of the room?

Answers

are there any options? like is it multiple choice or not?

Solve the following equation using the quadratic formulax^2-8x 97 = 0
The answer choices are in the picture

Answers

Answer:

Option B

$x=4+9i$ and $x=4-9i$

Step-by-step explanation:

we have

$x^(2) -8x+97=0$

The formula to solve a quadratic equation of the form $ax^(2) +bx+c=0$ is equal to

$x=\frac{-b(+/-)\sqrt{b^(2)-4ac}} {2a}$

in this problem we have

$x^(2) -8x+97=0$

$a=1\nb=-8\nc=97$

substitute in the formula

$x=\frac{-(-8)(+/-)\sqrt{-8^(2)-4(1)(97)}} {2(1)}$

$x=\frac{8(+/-)√(-324)} {2}$

Remember that

$i^(2) =-1$

$i=√(-1)$

$x=\frac{8(+/-)18i} {2}$

$x=\frac{8(+)18i} {2}=4+9i$

$x=\frac{8(-)18i} {2}=4-9i$

Final answer:

To solve the equation x^2 - 8x + 97 = 0 using the quadratic formula, substitute the coefficients into the formula and simplify the expression. In this case, the equation has no real solutions.

Explanation:

To solve the equation x^2 - 8x + 97 = 0 using the quadratic formula, first identify the coefficients in the equation. The quadratic formula is given by x = (-b ± sqrt(b^2 - 4ac)) / (2a). In this case, a = 1, b = -8, and c = 97. Substitute these values into the quadratic formula and simplify the expression to find the value(s) of x.

Using the quadratic formula, we have x = (-(-8) ± sqrt((-8)^2 - 4(1)(97))) / (2(1)). Simplifying further, we get x = (8 ± sqrt(64 - 388)) / 2. Continuing the simplification, we have x = (8 ± sqrt(-324)) / 2. Since the square root of a negative number is not a real number, the equation has no real solutions.

Therefore, the answer is that there are no real solutions to the equation x^2 - 8x + 97 = 0.