Answer:
see explanation
Step-by-step explanation:
The perimeter (P) of a rectangle is calculated as
P = 2l + 2w ( l is the length and w the width )
perimeter of rectangle A = 2(7) + 2(5) = 14 + 10 = 24 in
perimeter of rectangle B = 2(4x - 3) + 2x = 8x - 6 + 2x = 10x - 6 in
Equating the two gives
10x - 6 = 24 ( add 6 to both sides )
10x = 30 ( divide both sides by 10 )
x = 3
Thus
length of rectangle B = 4x - 3 = 4(3) - 3 = 12 - 3 = 9 in
Width of rectangle B = x = 3 in
Answer:
<h2>The x-interecepts are 5.6 and -1.4, approximately.</h2>
Step-by-step explanation:
The given equation is
Where 
, 
and 
, let's use the quadratic formula
Therefore, the x-interecepts are 5.6 and -1.4, approximately.
Topic:
Multiplying Polynomials
Answer:
Polynomial 1:
- Simplified Form: 6x^2 - x - 1
- Name by Number of Terms: trinomial
Polynomial 2:
- Name by Number of Terms: binomial
Polynomial 3:
Step-by-step explanation:
Polynomial 1:
It has 3 terms, so it's a <u>trinomial</u>.
Polynomial 2:
There is one term with x and x is raised to the first degree, so it's <u>linear</u>.
There are 2 terms, so it's a <u>binomial</u>.
Polynomial 3:
Since there are no variables and the answer is just 2, it's a <u>constant</u>.
Note: I took a test on this and it seemed to be all correct
4 gallons of water is needed to dilute to a concentration of 10%.
<u>Step-by-step explanation:</u>
It is given that,
The 5 gallons of water contains 18% of acid solution.
Now, we are asked to find the gallons of water needed to dilute it to a concentration of 10% acid solution.
We obtain the equation by stating that the amount of acid 10% in the water must dilute up to 18%.
For this, x amount of water should be added.
Therefore, the equation is framed as,
⇒ 0.1 (x+5) = 5 (0.18)
⇒ 0.1x + 0.5 = 0.9
⇒ 0.1x = 0.9 - 0.5
⇒ x = 0.4 / 0.1
⇒ x = 4
∴ 4 gallons of water is needed to dilute to a concentration of 10%.
The answer is 6. this is because when you find the range, it's the difference between the highest and the lowest value in the set
