Answer:
m=1/2 b =6
Step-by-step explanation:
m is the the gradient ( as in how much that line slant), so just use the formula
y2 - y1
------------
X2 - x1
For b, that the y-intercept,
Once u found m
Just choose any one of the coordinate they gave u (4,8) or(-6,3)
It will give u the same answers
Let's say u chose (4,8)
Theredore x = 4, y =8
y=mx + b
8= 1/2 x 4 + b
b= 6
The other one would give u the same answer
Answer:
x < -2
Step-by-step explanation:
1. Original Inequality: 10 – 2(2x + 2) > 14
2. 10-4x-4>14
<em>Distribute the -2 to 2x and 2. </em>
3. Simplify the left side: 6-4x>14
<em>Do 10-4 </em>
4. Subtract: -4x>8
<em>Subtract 6 from both sides to get x by itself</em>
5. Divide: x< -
<em>You want to divide by -4 that way you can find what x is. When you divide OR multiply by a negative number in an inequality you are going to need to switch the way the sign is facing.</em>
6. Simplify: x< -2
7. Check:
10-2(2(-3) +2) > 14
10-2(-6 + 2)
10-2(-4)
10+8
18 > 14
Answer: 48 sweets
Step-by-step explanation:
Let the total number of sweets be X
Thereforee, 5X/11 + 6X/11 = X.
When Sarah ate 16 sweets, the ratio of sweets left is 1 : 2.
[(5X/11) - 16] / [6X/11] = 1/2.
Cross multiply,
10X/11 - 32 = 6X/11
10X/11 - 6X/11 = 32
4X/11 = 32
4X = 32 × 11
4X = 352
X = 352/4
X = 88
therefore, sarah = 5X/11
= (5 × 88) ÷ 11 = 440/11 = 40
Henry = 6X/11
= (6 × 88) ÷ 11
= 48
Therefore, the original ratio was:
5 : 6 = 40 : 48
Sarah ate 16 sweets, her balance is:
40 – 16 = 24
Sarah : Henry = 24:48 = 1:2
Henry has 48 sweets.
2 parrots
6-2=4 canaries
4+1=5 goldfish
5-4=1 turtle
2+4+5+1= 12 pets