Answer:
8. A
First step is to distribute - to 6x and 3. Next u want to combine like terms. So 2x^2-6x^2 = -4x^2. Next 4x - 6x = -2x. Again 9 + 3 = 12. Combine and u get -4x ^2 - 2x +12
9. C
First you add 4x to both sides. Then you subtract 55 leaving -45 greater than or equal to 9x. Then you divide by nine and you get -5 is greater than or equal to x
10. B
First you distribute 5 so 15 -3x < -2x +6. Next add 2 to both sides. Then subtract 15 leaving -3x < -9. Least divide by -3 and you get x > 3(the sign was swapped bc dividing by a negative number means it has to)
11. B
For this you could just distribute the equations and we on that 7•4=28. And 7•5=35. I'm this case both of the numbers have to be negative so 7 has to be negative as well
12. C
Distribute -2/3 and you get 9q^2-2q+14/3+5q^2
Then combine like terms and 9q^2+5q^2=14q^2. Order them and ur answer is 14q^2-2q+14/3
1)Rewrite the table:
70, 49, 34.3, 24.01, 11.807 {The original size of the wound =70}
2) write the quotient of each number by the number before & notice the value:
49/70= 0.7
34.3/49 = 0.7
24.01/34.3 =0.7
16.0807/24.01 = 0.67 ≈0.7
You notice this is a geometric progression with r 0.7
The last term in a GP =ar^⁽ⁿ⁻¹⁾
3) Domain and Range of this function:
Last term = a₁.rⁿ⁻¹. let last term be y==> f(n) = y =70(0.7)ⁿ⁻¹
or f(n) = y = 70(0.7)ⁿ / 0.7==> f(n) = [(0.7)ⁿ ]/ 100.
This is a decreasing exponential function where the coefficient
raised to n is < 1.
The domain is for all n>= 0.
When n→∞, f(n)→0; For n=0==>f(n) =70. So the range of f(n) is:<=70
Answer:
its 20 :)
Step-by-step explanation:
lol
The formula for perimeter is:
<span>P = 2 h + 2 w</span>
where P is perimeter = 120 cm, h is height, w is width
we are also given that: h = (2/3) w, therefore:
P = 2 (2/3) w + 2 w = 120
(4/3) w + 2 w = 120
w = 36 cm
Therefore l is:
l = (2/3) w = 24 cm
<span>Hence the dimension should be 24cm by 36 cm</span>
Answer:
Step-by-step explanation:
The point of this question is to find out the point where two lines intersect. First we need to get the equation of those lines
Slope of line 1:
(Yb -Ya)/(Xb - Xa) =
(-10 - (-14))/(-1 - (-3)) =
4/2 =
2
Use that slope to find the Y-intercept of line 1
y = 2x + b
-14 = 2(-3) +b
-14 = -6 + b
-8 = b
Therefore Line 1 is:
y = 2x - 8
Slope of line 2
(11 - 13)/(-1 - (-3)) =
-2/2 =
-1
Y-intercept of line 2
y = -x + b
13 = -(-3) +b
13 = 3 + b
10 = b
Therefore line 2 is
y = -x + 10
Now we have 2 equations to solve for the coordinates x and y
y = 2x - 8
y = -x + 10
Substitute y out in one of the equations
2x - 8 = -x + 10
3x = 18
x = 6
Plug x into one of the equations
y = 2(6) - 8
y = 12 - 8
y = 4
Therefore the solution is:
x=6, y=4
