when the solutions to each of the two equations below are graphed in the xy-coordinate plane, the graphs intersect at two places. Write the y-coordinates of the points of intersection in the boxes below in order from smallest to largest
y=2x
y+x^2 - 3
Answer:
Intersection points (1,2) and (-3,-6)
The y-coordinates of the points of intersection from smallest to largest is -6 to 2.
Step-by-step explanation:
Given : A system of equations and
To find : Write the y-coordinates of the points of intersection?
Solution :
Let,
and
Now, we plot these two equations.
The graph of is shown with red line.
The graph of is shown with blue line.
The solution to this system will be their intersection point.
The intersection points of these graph are (1,2) and (-3,-6).
Refer the attached graph below.
Therefore, The y-coordinates of the points of intersection from smallest to largest is -6 to 2.
The total number of dogs and cats in the animal shelter is 25. We get this by dividing the number of puppies, which represent 28% of the population, by 0.28.
To figure out the total dog and cat population in the animal shelter, we need to use the information given to us: the puppies, which make up 28% of the total population, number 7. To get the full population, we need to think of these 7 puppies as representing 28%. The way to get the total is to divide the number of puppies by the percentage they represent. Express 28% as a decimal and divide:
7 / 0.28 = 25
So there are 25 dogs and cats in the animal shelter.
#SPJ12
Solve the equation:
5x + 65 = 25
What is the value of x
Answer: -8
Step-by-step explanation:
Answer:
x = -8
Step-by-step explanation:
If you multiply -8 by 5 you get -40. Then if you add 65 to -40 you get 25.
Hope this helps.
Answer:
You're correct, it's 7.5!
Step-by-step explanation:
15% is still 15/100. So, if you to divide 100 by 2 to convert it to 50, then you divide 15 by 2 as well! And the answer to that is 7.5.
x = ?
I tired this but I keep getting 6! Thanks
Most mistakes people make when doing this kind of math is that they forget the X and move along.
So, let's solve for X --
38 + x = 32
° Step 1 - Simplify both sides of the equation.
x + 38 = 32
° Step 2 - Subtract 38 from both sides.
x + 38 - 38 = 32 - 38
We can now see that x = -6. Well, at least you were close! All you forgot was the negative sign!
x = -6
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