Given:
There are two consecutive odd integers such that the square of the first added to 3 times the second, is 24.
To find:
Part a: Define the variables.
Part b: Set up an equations that can be solved to find the integers.
Part c: Find the integers.
Solution:
Part a:
Let x be the first odd integers. Then next consecutive odd integer is 
, because the difference between two consecutive odd integers is 2.
Part b:
Square of first odd integers = 
Three times of second odd integers = 
It is given that the sum of square of first odd integers and three times of second odd integers is 24. So, the required equation is:
Part c:
The equation is:
It can be written as:
Splitting the middle term, we get
-6 is not an odd integer, so 
and the first odd integer is 3.
Second odd integer =
= 
= 
Therefore, the two consecutive odd integers are 3 and 5.
Answer:
y = -2x + 28
Step-by-step explanation:
Slope intercept form is-
y = mx + b
y = y coordinate
m = slope, the rise/run
x = x coordinate
b = the y-intercept, the place the line crosses the y-axis.
Now, fill in the formula with the proper information.
y = -2x + b You can use the point (10, 8) for the x and y coordinates to find b
8 = -2(10) + b Now solve for b
8 = -20 + b
<u>+20 +20 </u>
28 = b Now substitute 28 in for b
y = -2x + 28
Ab - c = 9 |subtract ab from both sides
- c = 9 - ab |change signs
c = -9 + ab
c = ab - 9
68 cubic in.
Explanation:
The explanation is too long, just trust me and look at keep in mind these steps:
Separate that figure into 2 pyramids and 1 rectangular prism. Find the volume of each figure and add them all up
Keep in mind that the formula for volume of rectangular prism is length x width x height
The formula for volume of triangular prism is
1/2 x length x width x height.
Hope this helps! Comm.ent me if u have any questions
Mark me brainliest if I got this right!
-SpaceMarsh
To solve this you would need to make all fractions like fractions and when you do this you should get 1 1/15
