Answer:
y = (-3/7)x + 2
Step-by-step explanation:
slope-intercept form is y = mx + b, where m = slope and b = y-intercept.
all you need to do is plug the values into the equation! :)
since your slope is (-3/7), plug that in for m.
y = mx + b ⇒ y = (-3/7)x + b
and since your y-intercept is 2, plug that in for b.
y = (-3/7)x + b ⇒ y = (-3/7)x + 2
therefore, the line's equation in slope-intercept form is y = (-3/7)x + 2.
<em>don't worry about the parentheses, i only put them in there to separate the 7 in -3/7 from x. i'm not good at putting equations in here on brainly lol i just wanted to make sure you didn't think that it was -3 over 7x.</em>
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i hope this helps! have a lovely day <3
Quartic => polynolial degree 4, i.e. the highest exponent of the variable is 4
trinomial=> three terms
leading coefficient = the coefficient in front of the term with the highest exponent.
standard form=> ax^4 + bx^3 + c^2 + dx + e
Solution:
2x^4 + x^3 + 0x^2 + 0x + 30
which is equal to 2x^4 + x^3 + 30: this is a quartic trinomial with leading coefficient 2, written in standard form.
Answer:
Multiply by ∛2 and translate the graph to left by 4 units.
Step-by-step explanation:
The initial function given is:
y = -∛(x - 4)
The transformed function is:
y = -∛(2x - 4)
Consider the initial function.
y = -∛(x - 4)
(Represented by Black line in the graph)
Multiply the function by ∛2. The function becomes:
y = -∛(x - 4) × ∛2
y = -∛(2)(x-4)
y = -∛(2x-8)
(Represented by Red line in the graph represents this function)
Translate the graph 4 units to the left by adding 4 to the x component:
y = -∛(2x-8+4)
y= -∛(2x - 4)
(Represented by Blue line in the graph)
Answer:
1) The number of vegetable plot Filipe has = 9 vegetable plots
2) A number line with 1/12 divisions will give the number of 1/12 acre vegetable plots as the number of divisions between 0 and 3/4
Step-by-step explanation:
1) The total size of the land Filipe has = 3/4 acre
The size of the vegetable plots to which he separates the land = 1/12 acre
The number of vegetable plot Filipe has = (The total size of the land Filipe has)/(The size of the vegetable plots to which he separates the land )
∴ The number of vegetable plot Filipe has = (3/4)/(1/12) = 9
The number of vegetable plot Filipe has = 9 vegetable plots
2) The number line can be used to model the situation by having the number line that has divisions of 1/12 unit and counting the number of 1/12 divisions between the zero (0) mark and the three quarter (3/4) mark
Answer: area of shaded region is 141.3 cm²
Step-by-step explanation:
We would assume that the shade region is the area between both circles. The area of the shaded region is the area of the outer circle - the area of the inner circle.
The formula for determining the area of a circle is expressed as
Area = πr²
Where
r represents the radius of the circle.
π is a constant whose value is 3.14
Considering the inner circle,
Radius = 6 cm
Area = 3.14 × 6² = 113.04 cm²
Considering the outer circle,
Radius = 9 cm
Area = 3.14 × 9² = 254.34 cm²
Area of the shaded region is
254.34 - 113.04 = 141.3 cm²
