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zavuch27 [327]
3 years ago
15

What is the value of the expression below when b = 8.5?

Mathematics
1 answer:
Simora [160]3 years ago
7 0
The answer is d hope this helps
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3. Is the relationship shown by the data linear? If so, model the data with an equation X | Y 1 ,5| 5,10| 9,15| 13,20|
son4ous [18]

Answer:

y=\frac{5}{4}x+\frac{15}{4}

Step-by-step explanation:

x | y

-------

1     5

5   10

9    15

13   20

This one is linear because as x goes up by the same number so does y. So the ratio of difference of y to difference of x is the same per pair of points.

So a linear equation in slope-intercept form is y=mx+b where m is the slope and b is the y-intercept.

To find the slope, I'm going to line up the points vertically and subtract, then put 2nd difference over 1st difference. Like so,

( 1    ,   5)

-( 5   ,  10)

----------------

-4          -5

So the slope is 5/4 which makes sense since the y's are going up by 5 each time and the x's are going up by 4 each time.

So we have m=5/4. Let's plug that into our y=mx+b.

y=5/4 x+b

To find b, we need to use y=5/4 x+b along with one of the given points.

Choose; it doesn't matter.  I like (1,5) I guess.

y=5/4 x +b with (1,5)

5=5/4 (1)+b

5=5/4    +b

Subtract 5/4 on both sides:

5-5/4=b

20/4-5/4=b  (Found a common denominator)

15/4=b

The y-intercept is 15/4 so b=15/4.

So the equation for the line in slope-intercept form is y=5/4 x +15/4.

y=\frac{5}{4}x+\frac{15}{4}

4 0
3 years ago
Read 2 more answers
Can you guys help me with this 2 problems pls
Airida [17]

Answer:  2.) J

Step-by-step explanation:

x values -> 2-6 = 4

(4,6)

3 0
2 years ago
What are the key aspects of the graph of f(x) = x2 – b2, where b is a real number?
netineya [11]

Given equation is f\left(x\right)=x^2-b^2.

Now we need to find about what are the key aspects of the graph of f\left(x\right)=x^2-b^2, where b is a real number.

We know that square of any number is always positive.

then b^2 must be a positive number.

So that means for any real number b, as the value of b increases then graph of f(x) shifts downward by b^2 units as compared to the graph of parent function f\left(x\right)=x^2

3 0
2 years ago
Read 2 more answers
how to rewrite the function in a different form (factored or vertex) where the answer appears as a number in the equation.
rodikova [14]

We can convert the equation of the line in vector form by imposing i cap ,j cap and k cap with direction ratios.

The movement of an object from one place to another is described using vectors. Vectors can be represented as points in a coordinate system in the cartesian system. Similar to this, a "n" tuple can be used to represent vectors with "n" dimensions.

In physics, a vector is a quantity with both magnitude and direction. It is often represented by an arrow whose length is proportional to the magnitude of the quantity and whose direction is the same as that of the quantity. Simply subtract the starting point from the terminal point to determine the vector in component form given the initial and terminal points.

Learn more about vector here

brainly.com/question/25811261

#SPJ4

8 0
1 year ago
The table below shows data for a class's mid-term and final exams:
lina2011 [118]
Mid term :
Q1 = (88 + 85)/2 = 86.5
Q2 = (92 + 95)/2 = 93.5
Q3 = 100
IQR = Q3 - Q1 = 100 - 86.5 = 13.5

final exams :
Q1 = (65 + 78)/2 = 71.5
Q2 = (88 + 82)/2 = 85
Q3 = (95 + 93)/2 = 94
IQR = Q3 - Q1 = 94 - 71.5 = 22.5

so the final exams has the largest IQR
 
5 0
2 years ago
Read 2 more answers
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