#1 4/5x + 2/3x = 1 -4/15
22/15x = 11/15
x = 1/2
and can u explain what u mean by #2 and #3??
Answer:
She lands on 92.
Step-by-step explanation:
92=58+2+30+2
where she lands = 58+34
92 = 58 + 2x + y where x=2 and y=32
Answer:
5 minutes
Step-by-step explanation:
the liters is at zero at the 5 minute mark
Answer:
b) i) Curve A
ii) - 1.75
iii) x = 1 - √5 or x = 1 + √5
Step-by-step explanation:
b) i) We are given a function y = x² - 2x - 3 and the graph of this function is also shown in the side diagram.
The equation can be rearranged to y = (x - 1)² - 4
⇒ (x - 1)² = y + 4
Therefore, this is an equation of a parabola having the vertex at (1,-4) point and its axis is parallel to the positive y-axis.
So, the curve A represents the equation given. (Answer)
ii) Now, at x = 2.5, f(x) = 2.5² - 2 × 2.5 - 3 = - 1.75 (Answer)
iii) When y = 1, then x² -2x - 3 = 1
⇒ x² - 2x - 4 = 0
⇒ (x - 1)² - 5 = 0
⇒ (x - 1)² - (√5)² = 0
⇒ (x - 1 + √5)(x - 1 - √5) = 0
⇒ x = 1 - √5 or x = 1 + √5 (Answer)
For a proportional relationship, the constant is found dividing all values of y by each respective value of x.
<h3>What is a proportional relationship?</h3>
A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:
y = kx
In which k is the constant of proportionality.
The constant can be represented as follows:
![k = \frac{y}{x}](https://tex.z-dn.net/?f=k%20%3D%20%5Cfrac%7By%7D%7Bx%7D)
Hence the constant is found dividing all values of y by each respective value of x.
More can be learned about proportional relationships at brainly.com/question/10424180
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