Answer:
y = 2.4
Step-by-step explanation:
If y varies inversely as x, it means there's an inverse relationship between y and x, that is if x is increasing, y is decreasing and vice versa. In such instance, we have to find the constant of proportionality "k"
Hence,
y~1/x
y=k/x
When y =-6 and x =-2, we insert these values to find the value of the constant "k"
-6 = k/-2
k = 12.
Using this value of k to determine value of y when x =5 becomes:
y = 12/5
y = 2.4
Answer:
no solution
Step-by-step explanation:
Solve:
6(2k + 1) = 12k + 1
Expand brackets:
⇒ 12k + 6 = 12k + 1
Subtract 12k from both sides:
⇒ 6 = 1
As 6 ≠ 1 there is no solution
The answer is D. -3 because y=-3x the -3 is the slope.
Answer:
*Replace each "x" with the required numbers .
1) g (14) ; Ans;
___o_o___
2) f (-8) ; Ans;
___o_o___
3) j (3) ; Ans;
___o_o___
4) h (4) ; Ans;
___o_o___
5) f (2.8) ; Ans;
___o_o___
6) j(-5) ; Ans;
___o_o___
7) g(3/4); Ans;
___o_o__
8) [h(6.2)]² ; Ans;
___o_o___
9) j(2) + g(-3) ; Ans;
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10) h(1) - f(-10) ; Ans;
___________o____o__________
**We look at the table. If f(4) or f(-2) is required, it came from f(x) by substitution each x with the required numbers, and the result is in the table f(x) .
***But if he says that f(x) is equal to a number, he means the resulting table f(x) and asks for the "x" that you take from the table "x" .
<u>Table (1) Ans;</u>
f(4) = <u> –3</u>
f(-2) = <u>– 6</u>
If f(x)= -3 ,then x = <u>4</u>
If f(x) = 1 , then x = <u>3</u>
___o_o___
<u>Table (2) Ans; </u>
f(4) = <u>–7</u>
f(-2) = <u>1</u>
If f(x)= -3 ,then x = <u>0</u>
If f(x) = 1 , then x = <u>- 2</u>
___o_o____
<u>Table (3)Ans;</u>
f(4) = <u>7</u>
f(-2) = <u>3</u>
If f(x)= -3 ,then x = <u>6</u>
If f(x) = 1 , then x = <u>0</u>
I hope I helped you^_^
Answer:
The sum of the squares of the two sides equals the square of the hypotenuse (a² + b² = c²).
Let's say you have a triangle with a 90º angle (also known as a right angle). The two equal legs are a and b while the hypotenuse is the longer side. Hypotenuse is and always will be c.
Here's a problem:
c ⊿ a (12)
b (6)
C is missing, we have to find C, so here's what we do:
Step 1: You square all the numbers in the equation
12² + 6² = c²
↓
144 + 36 = c
Step 2: You add 144 + 36 and you get 180
Step 3: Then you find the square root >> and you get ≈13.4
Now sometimes, the a or b would be missing, for example:
c (13)⊿ a
b (5)
A is missing (when a or b is missing, use the following formula, do not use the same formula when c is missing)
Step 1: You square all the numbers in the equation
a² + 5² = 13²
a + 25 = 169
For this next part, you must subtract a or b (in this case, b) on both sides, for example:
25 – 25 = 169 - 25
25 – 25 cancels itself out so now we subtract 169 by 25 and we get 144.
Then we find the square root of 144 and we get 12
I hope this helps :)