Need help please help me
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Assuming you have a graphing calculator or a program to lets you graph equations (I use desmos) you simply put in the equetions and note down the coordinates of the point of intersection.
In the graph the first equation is in blue and the second in red.
The point of intersection = the solution = (-6 , -1)
If you dont have access to a graphing calculator you could draw the graphs by hand;
1) Draw a table of values for each equation; you do this by setting three or four values for x and calculating its image in y (you can use any values of x)
y = 0.5 x + 2 (Im writing 0.5 instead of 1/2 because I find its easier in this format)
x | y
-1 | 1.5 * y = 0.5 (-1) + 2 = 1.5
0 | 2 * y = 0.5 (0) + 2 = 2
1 | 2.5 * y = 0.5 (1) + 2 = 2.5
2 | 3 * y = 0.5 (2) + 2 = 3
y = x + 5
x | y
-1 | 4 * y = (-1) + 5 = 4
0 | 5 * y = (0) + 5 = 5
1 | 6 * y = (1) + 5 = 6
2 | 7 * y = (2) + 5 = 7
2) Plot these point on the graph
I suggest to use diffrent colored points or diffrent kinds of point markers (an x or a dot) to avoid confusion about which point belongs to which graph
3) Using a ruler draw a line connection all the dots of one graph and do the same for the other
4) The point of intersection is the solution
y = mx + b - it's the equation of a straight line. We need only two points to the plotting the graph of that function.
Select any two x values and calculate y values:
Look at the picture.
The solution of the system of equations is the intersection point of the line.
Answer: (-6, -1) → x = -6 and y = -1
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Answers
A pet shop has 96 pounds of dog food. It packages the food in 48-ounce bags.
Quantity of dog food pet shop has = 96 pounds.
Quantity of dog food in one bag = 48 ounces.
So in order to find number of bags we have to first convert them into similar units.
Let us convert pounds into ounces.
The conversion rate is:
1 pound = 16 ounces
Now we apply unitary method to convert 96 pounds into ounces.
1 pound =16 ounces
96 pounds = 96*16 = 1536 ounces.
So if one bag contains 48 ounces ,
then number of bags = 1536/48 = 32
Answer : Number of 48 ounce bags required to fill 96 pounds of dog food is 32.
Answers
product of a number with decimal places to the hundredths multiplied by a number with decimal places to the tenths, the product must have Three decimal digits.
How do you find the number of decimal places in a product of decimals?
- To multiply decimals, set up the numbers and multiply them as you would whole numbers. Calculate the total number of decimal places in both factors. Insert the decimal point into the product so that the total number of decimal places in the product equals the total number of decimal places in the factors.
- To determine the number of decimal places in a multiplication problem, count and add the number of decimal places in each number.
- The tenths place is represented by the first digit following the decimal. The hundredths place is represented by the digit following the decimal. The remaining digits fill in the place values until there are no more digits.
To learn more about Decimal digits refer,
#SPJ2
· x^15
· x^11
· x^26
Answers
Answers
Option C:
The measure of arc GH is 45°.
Solution:
Given data:
m∠GFH = 22.5°
To find the measure of arc GH:
By inscribed angle theorem,
The measure of an inscribed angle is equal to the half of the measure of the intercepted arc.
Multiply by 2 on both sides, we get
Switch the sides.
m(arc GH) = 45°
The measure of arc GH is 45°.
Option C is the correct answer.
Answers
Simplify by 7 and by 3 (or by 21 straight away).
Your answer is or
.