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skelet666 [1.2K]
3 years ago
5

Give two ways to write each algebraic expression in words. 4+×

Mathematics
1 answer:
KATRIN_1 [288]3 years ago
4 0

Answer:

the sum of 4 and a number

4 plus a number

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Thomas buys a cardboard sheet that is 12 by 8 inches. Create an equation for this situation, find the zeros, and sketch the func
Karo-lina-s [1.5K]
For the answer to the question above,

1. If we let x as the side of the square cut-out, the formula for the capacity (volume) of the food dish is:
V = (12 - 2x)(8 - 2x)(x)
V = 96x - 40x^2 + 4x^3
To find the zeros, we equate the equation to 0, so, the values of x that would result to zero would be:
x = 0, 6, 4

2. To get the value of x to obtain the maximum capacity, we differentiate the equation, equate it to zero, and solve for x.
dV/dx = 96 - 80x + 12x^2 = 0
x = 5.10, 1.57
The value of x that would give the maximum capacity is x = 1.57

3. If the volume of the box is 12, then the value of x can be solved using:
12 = 96x - 40x^2 + 4x^3
x = 0.13, 6.22, 3.65
The permissible value of x is 0.13 and 3.65

4. Increasing the cutout of the box increases the volume until its dimension reaches 1.57. After that, the value of the volume decreases it reaches 4.

5. V = (q -2x) (p - 2x) (x)
7 0
3 years ago
Why are and Iby 4<br>and - 1 zeroes of the polynomial p(x) <br>= 4² +3x-1?​
Serggg [28]

Answer:

- 1 = 16 + 3x - 1 \\ 3x = 16 - 1 + 1 \\  \frac{3x}{3} =  \frac{16}{3}  \\  x = 5.33

7 0
3 years ago
What is the yield on a corporate bond with a $1000
White raven [17]

The yield on the corporate bond of a face value of $1000 is 7.77%.

What is the percentage discount?

The percentage discount is the discount given on a product as compared to the given discount on 100 rupees.

Given, the face value of the bond is $1000.

Discounted price of the bond is $900.

Therefore, the fixed interest on the bond for that period will be

= $1000 × 7/100 = $70.

Now, the yield on that corporate  bond = 70 × 100/900 % = 7.77% .

Hence, the yield on the corporate bond of a face value of $1000 is 7.77%.

Learn more about percentage discount here:

brainly.com/question/26178186

#SPJ4

5 0
11 months ago
Factor the quadratic equation of y= 4x^2 + 16x -48
vodka [1.7K]

Answer:

y = 4(x+6)(x-2)

Step-by-step explanation:

y = 4x² + 16x - 48, factor out the 4

y = 4(x² + 4x - 12), find factors of 12

Factors of 12:

1*12, 2*6, 3*4; find a pair that sums to 4x or 4

6-2 = 4, since 12 is a negative number, a number in the factor must be negative, in this case, making 2 negative, would make 6-2 = 4

y = 4(x+6)(x-2)

8 0
2 years ago
How many possible solutions could f(x) = 6x^3 + 8x^2 - 7x -3 have?
Alex17521 [72]
3 possible solutions.


The reason is because of the degree, which is 3
3 0
2 years ago
Read 2 more answers
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