Both students are correct; the slope should be -1, passing through through (4,2) with a y-intercept of 6.
1/2(4+X)+2=16
2+(0.5 x X) + 2 = 16
4 + (0.5 x X) = 16
0.5 x X = 12
X = 24
idk if u understand my working out - message me if u dont
hope it helped tho :)
First you want to know what y or x is i chose y for this on
so the equation i'm going to use is -2x-5y=3
i want to solve for y
-2x-5y=3
+2x +2x
-5y=2x+3
/-5 /-5 /-5
y=-2/5x+-3/5
Now that i solved for y we substitute our answer into the next equation to solve for x like this:
3x+8y=-6
3x+8(-2/5x+-3/5)=-6
3x+ -3.2x+-4.8=-6
-0.2x+-4.8=-6
+4.8 +4.8
-0.2x=-1.2
/-0.2 /-0.2
x=6
After you know what x is you substitute it in for any of the equations that we started with. I picked 3x+8y=-6 to find y.
3x+8y=-6
3*6+8y=-6
18+8y=-6
-18 -18
8y=-24
/8 /8
y=-3
Since we know what x and y are we substitute it with any of the equations that we started with. i picked -2x-5y=3
-2*6-5*-3=3
-12- -15=3
3=3
so our solution (6,-3) works
<u>Answer:</u>
20h + 20
<u>Step-by-step explanation:</u>
5(2h + 4) + 10h
1️⃣ Expand by distributing terms.
<em>10h + 20 + 10h</em>
2️⃣ Collect like terms.
<em>(10h + 10h) + 20</em>
3️⃣ Simplify.
<em>20h + 20</em>
Answer: <em>20h + 20</em>
Done ✔
Answer: The slope is the cost per muffin and the intercept of 3 is the delivery charge.
Step-by-step explanation:
I will assume that the graph has total cost in dollars for the y axis and number of muffins on the x axis. A slope of 2 means that y will increase by 2 for every 1 increase in x. That means that the price of a single muffin is $2.
The intercept of 3 at x = 0, means that there is an upfront (delivery) charge of $3. One muffin would cost $2 for the muffin plus $3 for the delivery, for a total of $5.
10 muffins would cost $20 for the muffins plus $3 for the delivery, for a total of $23.
