Answer: c.(3, 25) and (7, 9)
y = –x^2 + 6x + 16 and y = –4x + 37
Plug in -4x+37 for y in first equation . It becomes
Combine like terms. add 4x and subtract 37 on both sides
Divide the whole equation by -1 to remove negative sign from -x^2
Now factor the left hand side
(x-7)(x-3) = 0
x-7 =0 and x-3=0
x= 7 and x=3
Now we find out y using y = –4x + 37
when x= 7 , then y=-4(7) +37 = 9
when x= 3, then y=-4(3) + 37 = 25
We write solution set as (x,y)
(7,9) and (3,25) is our solution set
We can’t click on the link maybe take a pic
Showing fractions with models is giving a visual and sometimes can be easier to process.They also can be in picture form or other.Ex. A piece of pizza cut into fourths.
Showing fractions on a number line is also giving a visual but still allows you to add and subtract using numbers if that makes sense.Ex.
. ----.-------.
1/3 2/3 3/3
Answer:
1. x = 67.5
2. x = 2.5
3. x = 35.2
4. x = 2.0
5. x = 17.0
Step-by-step explanation:
Question 1
The proportion is set up in the form x/9 = 15/2. Multiply both sides by two to get rid of the two in the denominator on the right side. After doing so, multiply by 9 on both sides to get rid of the 9 in the denominator on the left:
2x/9 = 15
2x = 9(15)
Next solve for x:
2x = 135
x = 67.5
Question 2
The proportion is set up in the form 20/8.7 = 5.8/x. Multiply both sides by the second denominator, x, and then both sides by the first, 8.7. This will leave you with the work below:
20x/8.7 = 5.8
20x = 8.7(5.8)
Next, solve for x:
20x = 50.46
x = 2.523
Round to the nearest tenth:
x = 2.5
Question 3
The proportion is set up in the form 5/16 = 11/x. Multiply both sides by the second denominator, x, and then both sides by the first, 16. This will leave you with the work below:
5x/16 = 11
5x = 11(16)
Next, solve for x:
5x = 176
x = 35.2
Question 4
The proportion is set up in the form x/0.06 = 17/0.5. Multiply both sides by the second denominator, 0.5, and then both sides by the first, 0.06. This will leave you with the work below:
0.5x/0.06 = 17
0.5x = 17(0.06)
Next, solve for x:
0.5x = 1.02
x = 2.04
Round to the nearest tenth:
x = 2.0
Question 5
The proportion is set up in the form 29/x = 75/44. Multiply both sides by the second denominator, 44, and then both sides by the first, x. This will leave you with the work below:
29(44)/x = 75
29(44) = 75x
Next, solve for x:
1276 = 75x
x = 17.0133
Round to the nearest tenth:
x = 17.0
