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balu736 [363]
3 years ago
11

Consider the equation y = 4.2x and the table below that represents this relationship. X= 0, 2, 4, 6, Y= 0, 8.4, 16.8, 25.2

Mathematics
2 answers:
enyata [817]3 years ago
7 0
Please present the relationship in a table arranged vertically:

<span>this relationship. X= 0, 2, 4, 6, Y= 0, 8.4, 16.8, 25.2   becomes:

</span><span> x        y
---    -----
 0       0
 2      8.4
 4     16.8
 6     25.2

Notice that as x increases by 2 units from 2 to 4, y increases by 8.4 units to 16.8.  Thus, the slope of this line is 
        16.8
m = -------- = 8.4
          4-2

Your problem statement sounds incomplete; what were you asked to do here?

You could compare the equations of the 2 functions:

y = 4.2x and
y = 8.4x 

The slope of the 2nd function is twice that of the first function.  Both graphs go through the origin, (0,0).</span>
svp [43]3 years ago
3 0

Answer:

Look below

Step-by-step explanation:

The coefficient of the equation or constant of proportionality is  4.2.

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A_____ function is a function that can be expressed as the quotient of two polynomial functions in wich the denominator does not
Korolek [52]

Answer:

rational

Step-by-step explanation:

that is literally the definition of a rational number, just change the part where it says function to number and polynomial functions to number as well.

4 0
3 years ago
A baseball diamond is a square that is 90feet on each side. What is the distance a catcher has to throw the ball from home to se
Crank

Answer:

well, since a real baseball diamond is 90 feet on each side then the distance from homebase to second is 127 feet  3 3/8 inches

hope this helps :D


4 0
3 years ago
Read 2 more answers
Write the slope-intercept form of the equation of the line that passes through the point (-4,0 ), and is parallel to y=-(5/4x)+4
amid [387]

Answer:

Step-by-step explanation:

hello :

note :

Use the point-slope formula.

y - y_1 = m(x - x_1)   when : x_1= -4      y_1= 0  

     m= +5/4 (parallel means same slope)

an equation in the point-slope form is : y +0= -5/4(x+4)

4 0
2 years ago
Grace rakes leaves everyday for one week. She fills the same number of bags with leaves on each of the 5 weekdays. She fills 11
svlad2 [7]

Answer:

3 bags per weekday

Step-by-step explanation:

Total bags of leaves at the end of the week = 26 bags

Bags of leaves she fills over the weekend = 11 bags

Bags of leaves she fills during weekdays = x bags

Total bags of leaves at the end of the week = Bags of leaves she fills over the weekend + Bags of leaves she fills during weekdays

26 = 11 + x

Subtract 11 from both sides

26 - 11 = 11 - 11 + x

15 = x

x = 15 bags

If she fills the same number of bags with leaves on each of the 5 weekdays.

how many bags she filled each weekday.

Bags she filled each weekday = Total Bags of leaves she fills during weekdays / 5 weekdays

= 15 bags / 5 weekdays

= 3 bags per weekday

7 0
3 years ago
Х- а<br>x-b<br>If f(x) = b.x-a÷b-a + a.x-b÷a - b<br>Prove that: f (a) + f(b) = f (a + b)​
GenaCL600 [577]

Given:

Consider the given function:

f(x)=\dfrac{b\cdot(x-a)}{b-a}+\dfrac{a\cdot(x-b)}{a-b}

To prove:

f(a)+f(b)=f(a+b)

Solution:

We have,

f(x)=\dfrac{b\cdot(x-a)}{b-a}+\dfrac{a\cdot (x-b)}{a-b}

Substituting x=a, we get

f(a)=\dfrac{b\cdot(a-a)}{b-a}+\dfrac{a\cdot (a-b)}{a-b}

f(a)=\dfrac{b\cdot 0}{b-a}+\dfrac{a}{1}

f(a)=0+a

f(a)=a

Substituting x=b, we get

f(b)=\dfrac{b\cdot(b-a)}{b-a}+\dfrac{a\cdot (b-b)}{a-b}

f(b)=\dfrac{b}{1}+\dfrac{a\cdot 0}{a-b}

f(b)=b+0

f(b)=b

Substituting x=a+b, we get

f(a+b)=\dfrac{b\cdot(a+b-a)}{b-a}+\dfrac{a\cdot (a+b-b)}{a-b}

f(a+b)=\dfrac{b\cdot (b)}{b-a}+\dfrac{a\cdot (a)}{-(b-a)}

f(a+b)=\dfrac{b^2}{b-a}-\dfrac{a^2}{b-a}

f(a+b)=\dfrac{b^2-a^2}{b-a}

Using the algebraic formula, we get

f(a+b)=\dfrac{(b-a)(b+a)}{b-a}          [\because b^2-a^2=(b-a)(b+a)]

f(a+b)=b+a

f(a+b)=a+b               [Commutative property of addition]

Now,

LHS=f(a)+f(b)

LHS=a+b

LHS=f(a+b)

LHS=RHS

Hence proved.

5 0
2 years ago
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