9514 1404 393
Answer:
1
Step-by-step explanation:
The third term is g. It is equivalent to 1g. (A coefficient of 1 is rarely shown.) The coefficient is the constant multiplier of the variable expression. In the third term, the coefficient is 1.
<span>Write the decimal number as a fraction
(over 1)
4.3 = 4.3 / 1
Multiplying by 1 to eliminate 1 decimal places
we multiply top and bottom by 1 10's
Numerator (N)
N = 4.3 × 10 = 43
Denominator (D)
D = 1 × 10 = 10
N / D = 43 / 10
Simplifying our fraction
= 43/10
= 43/10
= 4 3/10</span><span>
</span>
First, set up a porportion to help you answer the question. Put percent paid/100 is equal to sale price/ original. The percent paid would be 75% because if the chair is 25% OFF then you would pay 75%. So then you would define your variable (I'll use x). X equals the original price. So, 75/100 equals 90/x. Then you can reduce 75/100 to 3/4 and cross multiply to get 3x=360. Then you would divide both sides by 3 to get x=120. So the original price of the chair was $120
Answer:
y=-3(x-1)^2+5
Step-by-step explanation:
The vertex form of a parabola is y=a(x-h)^2+k where (h,k) is the vertex.
We are given the vertex (h,k) is (1,5) so that makes the equation we have
y=a(x-1)^2+5.
We still need to find a.
We do have the point (0,2) on our parabola.
So replace (x,y) with (0,2) and solve for a.
2=a(0-1)^2+5
2=a(-1)^2+5
2=a(1)+5
2=a+5
-3=a
So the equation is
y=-3(x-1)^2+5
Answer:
(-4, -8)
Step-by-step explanation:
Note that x in terms of y is x = 2y + 12. Substitute 2y + 12 for x in the second equation:
5(2y + 12) + 3y = -44
or
10y + 60 + 3y = -44
Then 13y= -104, and y = -8
From the first equation we find x = 2(-8) + 12, or x = -16 + 12, or x = -4
Then the solution is (-4, -8)
