Answer:
-3+4i
Step-by-step explanation:
on a graph the complex number is (-3,4) The magnitude is -3^2+4^2=c^2
c=5 when solved
Using <u>linear function concepts</u>, it is found that the correct option is:
The amount of calories in a cheeseburger increases by 1.42 for every one gram of fat. The calorie amount estimated by this model is 121 if there are zero grams of fat.
A linear function is modeled by:

In which:
- m is the slope, which represents by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0.
In this problem:
- The explanatory variable fat is the input.
- The response variable calories is the output.
The equation is:

- The slope is of 1.42, which means that the amount of calories increases by 1.42 when the amount of fat increases by 1 gram.
- The y-intercept is of 121, which means that if there are 0 grams of fat, there will be 121 calories.
Thus, the correct option is:
The amount of calories in a cheeseburger increases by 1.42 for every one gram of fat. The calorie amount estimated by this model is 121 if there are zero grams of fat.
A similar problem is given at brainly.com/question/16302622
Step-by-step explanation:
The complete frequency distribution table for the data has been attached to this response.
The frequency column contains values that are the number of times the given range of hours appear in the data. For example, numbers in the range 0 - 2 hours, appear <em>9</em> times in the data. Also, the numbers in the range 3 - 5 appear <em>6</em> times. The same logic applies to other ranges.
The relative frequency column contains the ratio of the number of times the given range of hours appear in the data, to the total number of outcomes. The total number of outcomes is the sum of all the frequencies on the frequency column. This gives 38 as shown.
So, for example, to get the relative for the numbers in the range 0-2, divide their frequency (9) by the total outcome or frequency (38). i.e
9 / 38 = 0.24
Also, to get the relative for the numbers in the range 3-5, divide their frequency (6) by the total outcome or frequency (38). i.e
6 / 38 = 0.16
Do the same for the other ranges.
Answer:
Step-by-step explanation:
Here you go mate
Step 1
-3x<3 Equation/Question
Step 2
-3x<3 Simplify
-3x<3
Step 3
-3x<3 Divide by -3
Answer
x>-1
The type of triangle represented in the image attached to the task content is; Isosceles.
<h3>What type of triangle is triangle ABC?</h3>
By observation; since line AB and DE are parallel lines; it follows from the alternate Angie theorem that; <ABC = <BCE = 80°.
On this note, since angle ACD is 50°, the measure on <ACB is;
180 - 80 - 50 = 50°.
Therefore, since the sum of interior angle measures in a triangle is; 180°.
It follows that; <BAC is; 180 - 80 - 50 = 50°.
Hence, since the base angles; BAC and ACB are equal; it follows that the triangle in discuss is an isosceles triangle.
Read more on isosceles triangle;
brainly.com/question/1475130
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