Answer: 5.6 ≤ x ≤ 24.13.
Step-by-step explanation:
Given, The graph of the function
. The function models the profits, P, in thousands of dollars for a tech company to manufacture a calculator, where x is the number of calculators produced, in thousands.
In graph , On axis → number of calculators produced
On y-axis → profit made in thousands of dollars.
From the graph, the curve goes for y > 175 from x = 5.6 to x= 24.13 ( approx)
So, the reasonable constraints for the model 5.6 ≤ x ≤ 24.13.
So, If the company wants to keep its profits at or above $175,000, reasonable constraints for the model 5.6 ≤ x ≤ 24.13.
Answer:
b
Step-by-step explanation:
I got a 100 on this test so try and do well
The old rate of pay is x and the new rate is y then we have:
y = 2x + 7
Y = 21
PART 1: 21 = 2x+7
Subtract 7 from each side:
14 = 2x
Divide both sides by 2:
X = 14 / 2
X = 7
PART 2: The internship pays $7 per hour.
The length of the SM parallelogram when the length of the rectangle is 15 cm and width is 8 cm is 8/5 units.
<h3>What is the area of a rectangle?</h3>
Area of a rectangle is the product of the length of the rectangle and the width of the rectangle. It can be given as,
Here, (a)is the length of the rectangle and (b) is the width of the rectangle
The length of the rectangle is 15 cm and width is 8 cm. Thus, the area of it is,
All three parts has equal area. Thus, the area of parallelogram NCMA is,
MN is the height of the parallelogram. Thus,
Thus, the length of the Sm parallelogram when the length of the rectangle is 15 cm and width is 8 cm is 8/5 units.
Learn more about the area of rectangle here;
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Answer:
1. Complex number.
2. Imaginary part of a complex number.
3. Real part of a complex number.
4. i
5. Multiplicative inverse.
6. Imaginary number.
7. Complex conjugate.
Step-by-step explanation:
1. <u><em>Complex number:</em></u> is the sum of a real number and an imaginary number: a + bi, where a is a real number and b is the imaginary part.
2. <u><em>Imaginary part of a complex number</em></u>: the part of a complex that is multiplied by i; so, the imaginary part of the complex number a + bi is b; the imaginary part of a complex number is a real number.
3. <em><u>Real part of a complex number</u></em>: the part of a complex that is not multiplied by i. So, the real part of the complex number a + bi is a; the real part of a complex number is a real number.
4. <u><em>i:</em></u> a number defined with the property that 12 = -1.
5. <em><u>Multiplicative inverse</u></em>: the inverse of a complex number a + bi is a complex number c + di such that the product of these two numbers equals 1.
6. <em><u>Imaginary number</u></em>: any nonzero multiple of i; this is the same as the square root of any negative real number.
7. <em><u>Complex conjugate</u></em>: the conjugate of a complex number has the opposite imaginary part. So, the conjugate of a + bi is a - bi. Likewise, the conjugate of a - bi is a + bi. So, complex conjugates always occur in pairs.
