Answer:
Option B. y = 1.81x + 44.36
Step-by-step explanation:
The graph represents a scatter plot with a positive correlations and has a positive y-intercept.
By drawing the best line to fit the data the y-intercept will be approximately at the midpoint of 45 and 50
We will check which option is true:
A. y = 4.25 x
The equation of option A represents a line pass through the point (0,0)
Which mean y-intercept is 0 and this is wrong.
B. y = 1.81x + 44.36
According to the best line to fit the data option B is true.
Also by substitution with x = 2
y = 1.81 * 2 +44.36 = 47.98
which is near to the actual point on the graph (50)
C. y = 1.81 x ⇒ Wrong ⇒ same explanation of option A
D. y = 4.25 x + 50 ⇒ Wrong
Because the y-intercept will be approximately at the midpoint of 45 and 50
<u>So, The answer is option B. y = 1.81x + 44.36</u>
Answer:
x = 25 , y = 19
Step-by-step explanation:
Since the triangle has 3 congruent sides then it is equilateral
The 3 angles are also congruent, with each angle = 60° , then
2x + 10 = 60 ( subtract 10 from both sides )
2x = 50 ( divide both sides by 2 )
x = 25
and
3y + 3 = 60 ( subtract 3 from both sides )
3y = 57 ( divide both sides by 3 )
y = 19
Answer:
The length of the midsegment is 9 ⇒ (B)
Step-by-step explanation:
In a triangle,
- The midsegment is the segment which joining the midpoints of two opposite sides of it
- The length of the midsegment is half the length of the third side in the triangle which opposite to it
<em>Let us use this rule to solve our question</em>
In Δ AC
∵ DE is the midsegment of it
∵ DE is opposite to the side AC
∴ The length of DE = 1/2 the length of AC
∵ The length of AC = 18
∴ The length of DE = 1/2 × 18
∴ The length of DE = 9
∴ The length of the midsegment is 9
The correct answer is B
Question 21
Let's complete the square
y = 3x^2 + 6x + 5
y-5 = 3x^2 + 6x
y - 5 = 3(x^2 + 2x)
y - 5 = 3(x^2 + 2x + 1 - 1)
y - 5 = 3(x^2+2x+1) - 3
y - 5 = 3(x+1)^2 - 3
y = 3(x+1)^2 - 3 + 5
y = 3(x+1)^2 + 2
Answer: Choice D
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Question 22
Through trial and error you should find that choice D is the answer
Basically you plug in each of the given answer choices and see which results in a true statement.
For instance, with choice A we have
y < -4(x+1)^2 - 3
-7 < -4(0+1)^2 - 3
-7 < -7
which is false, so we eliminate choice A
Choice D is the answer because
y < -4(x+1)^2 - 3
-9 < -4(-2+1)^2 - 3
-9 < -7
which is true since -9 is to the left of -7 on the number line.
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Question 25
Answer: Choice B
Explanation:
The quantity (x-4)^2 is always positive regardless of what you pick for x. This is because we are squaring the (x-4). Squaring a negative leads to a positive. Eg: (-4)^2 = 16
Adding on a positive to (x-4)^2 makes the result even more positive. Therefore (x-4)^2 + 1 > 0 is true for any real number x.
Visually this means all solutions of y > (x-4)^2 + 1 reside in quadrants 1 and 2, which are above the x axis.
Solute = what is dissolved
solvent = that which dissolves or can dissolve
You take it from here.
