MATHEMATICS HIGH SCHOOL

At the deli, Alberto paid $24.33 for 7.4pounds of sliced ham. What was the
price of one pound of sliced ham?

Answers

Answer 1
Answer:

Answer:

About $3.28

Step-by-step explanation:

Divide 24.33 by 7.4
Answer 2
Answer:

Answer:

3.28783783784...

Step-by-step explanation:

You're description could turn into 24.33 : 7.4.

You turn 7.4 into 1, and divide 7.4 / 1.

(It is 7.4)

Then, you divide 24.33 / 7.4.

It is 3.28783783784.......

or, If you want you're answer close to an natural number, It is 3.

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Which expression is equivalent to 17^(4) ÷ 17^(6)(17^(-3)/(17^(-2)? A. 17^-5B. 17^-1 C. 17^3D. 17^4
Alexia made a down payment of $1825 on a car, and then paid 36 monthly payments of $415. If the loan had 0% interest, how much did Alexia pay for the car?

Sara was given $85 plus an additional $8per flower arrangement sold. What
equation represents how much money
Sara can make? How much money will
Sara make if she sells 6 flower
arrangements?

Answers

Answer:

Equation: 85+8x
if u substitute 6 for x and solve from their you get 133 as your answer

The point-slope form of the equation of the line that passes through (-9, -2) and (1, 3) is y - 3 = m(x - 1). What is the slope-intercept form of the equation for this line? A) y = 2/3x + 2 B) y = x - 4 C) y = (2x + 2) / 2 D) y = -2x - 2

Answers

Answer:

m = (3 - (-2))/(1 - (-9)) = 5/10 = 1/2

y - 3 = (1/2)(x - 1)

y - 3 = (1/2)x - (1/2)

y = (1/2)x + (5/2)

Consider the function f (x) = x³ – 7x² + 3x + 2. 1) Find the derivative, f ’(x). 2) Find the second derivative, f ’’(x). 3) Find the critical numbers of f (x) - just the x-values. 4) Use either the First Derivative Test or the Second Derivative Test to determine if these critical values are a relative maximum or relative minimum. 5) Compute the corresponding y-values and clearly label the relative maximum point and relative minimum point. 6) Find the absolute maximum point and absolute minimum point of f (x) on the interval [-2, 6]. 7) Find the inflection point of f (x).

Answers

1) To find the derivative, f'(x), we can use the power rule. Taking the derivative of each term, we get f'(x) = 3x^2 - 14x + 3.

2) To find the second derivative, f''(x), we can differentiate f'(x). Taking the derivative of each term in f'(x), we get f''(x) = 6x - 14.

3) To find the critical numbers of f(x), we set f'(x) equal to zero and solve for x. So, 3x^2 - 14x + 3 = 0. Solving this quadratic equation, we find the critical numbers x = 1 and x = 1/3.

4) To determine if these critical values are a relative maximum or relative minimum, we can use the Second Derivative Test. Evaluating f''(x) at x = 1 and x = 1/3, we find that f''(1) = -8 and f''(1/3) = -4. Since f''(1) is negative and f''(1/3) is also negative, we can conclude that both x = 1 and x = 1/3 correspond to relative maximum points.

5) To compute the corresponding y-values, we substitute the critical numbers into the original function f(x). We find that f(1) = -1 and f(1/3) = 1/27. Therefore, the relative maximum point is (1, -1) and the other relative maximum point is (1/3, 1/27).

6) To find the absolute maximum and minimum points of f(x) on the interval [-2, 6], we evaluate f(x) at the critical numbers and the endpoints of the interval. We find that f(-2) = 36, f(6) = 218, f(1) = -1, and f(1/3) = 1/27. Therefore, the absolute maximum point is (6, 218) and the absolute minimum point is (1, -1).

7) To find the inflection point of f(x), we need to find where the concavity changes. This occurs when f''(x) = 0 or is undefined. However, in this case, f''(x) is always defined and never equals zero. Therefore, there are no inflection points in the given

2
Multiple choice. How many solutions does the equation 6 + 1 = -6x+ 10 have?

Answers

Answer:

x = 0.5, one solution

Step-by-step explanation:

6+1 = -6x + 10

7 = -6x + 10

-3 = -6x

6x = 3

x = 3/6

x = 1/2

x = 0.5

A bag has 5 red marbles, 6 blue marbles and 4 black marbles. What is the probability of a blue marble, replacing it, and then picking a black marble?

8/75

4/45

1/9

Answers

There are 15 total marbles in the bag, of which 6 are blue nd 4 are black.

The probability of pulling a blue marble from the full bag is  6/15 .

The probability of pulling a black marble from the full bag is  4/15 .

The probability of both events happening is

             (6/15) x (4/15)  =  24/225 = 8/75

The sale price of shrimp at a local grocery store is $1.15 for the first ounce and $0.95 for each additional ounce. Which function rule shows how the cost of shrimp, y, depends on the number of ounces, x?A - y = 1.15x + 0.95
B - y = (0.95 + 1.15)x
C - y = 0.95x + 1.15
D - y = 0.95(x - 1) + 1.15

Answers

C. y=0.95x+1.15... because 1.15 is the initial cost and 0.95 multiplied by x means x is the number of ounces you purchase after the first.
so say you purchase 5 more ounces then your equation would be 
y=(0.95*5)+1.15
but in this case THE ANSWER IS C!
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