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elixir [45]
3 years ago
12

A table contains the ordered pairs (3, 42.25) and (5, 50.75). If the relationship in the table is linear, explain how to find th

e initial value.
​
Mathematics
2 answers:
Basile [38]3 years ago
5 0

Answer:

The linear relationship ( the linear equation ):

y = m x + b ( the slope-intercept form )

m = ( 50.75 - 42.25 ) / ( 5 - 3 ) = 8.50 / 2 = 4.25 ( the slope )

42.25 = 4.25 * 3 + b

b = 42.25 - 12.75

b = 29.50

y = 4.25 * x + 29.50

Answer:

The initial value is : ( 0,  29.50 ) or 29.50.

elena55 [62]3 years ago
5 0
The answer above is is cooorrectttt!
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Are there choices to look at??

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4 years ago
What multiplies to -29 and adds to 1
Margarita [4]
First set up equation
x times y=xy

so
xy=-29
and
x+y=1
subtract x from both sides
y=1-x
subsitute 1-x for y in first equation
x(1-x)=-29
distribute
x-x^2=-29
add x^2 to both sides
x=-29+x^2
subtract x from both sides
0=x^2-x-29
so we can use the quadratic formula to solve for x if the equation=0 and it is in ax^2+bx+c form so

if
ax+bx+c=0 then x=\frac{ -b+/-\sqrt{b^2-4ac} }{2a} that means x=\frac{ -b-\sqrt{b^2-4ac} }{2a} or x=\frac{ -b-\sqrt{b^2-4ac} }{2a} so


x^2-x-29
a=1
b=-1
c=-29
\frac{ -(-1)-\sqrt{-1^2-4(1)(-29)} }{2(1)}=\frac{ +1-\sqrt{1^2-(-116)} }{2(1)}=\frac{ +1-\sqrt{1^2+116} }{2}=\frac{ +1-\sqrt{117} }{2}= \frac{1-10.816653826392}{2} = [tex] \frac{-9.816653826392}{2}= -4.908326913196



the second number is
\frac{ -(-1)+\sqrt{-1^2-4(1)(-29)} }{2(1)}=\frac{ +1+\sqrt{1^2+(-116)} }{2(1)}= \frac{1+10.816653826392}{2} = \frac{ +1+\sqrt{117} }{2}=  \frac{10.816653826392}{2}=5.908326913196


the two numbers are
5.908326913196 and
-4.908326913196


7 0
3 years ago
There is a rectangular section of his yard. the perimeter of the section is 27 feet and the are is 35 square feet find the lengt
Advocard [28]

Answer:

2L^2 - 27L + 70 = 0.

Step-by-step explanation:

p = 2(L + W)

27 = 2L + 2W

2W = 27 - 2L

W = (27 - 2L)/2

Substitute for W in the area equation:

A = LW

35 = (27 - 2L) * L / 2

L(27 - 2L)  = 70

-2L^2 + 27L - 70 = 0   Multiply through by -1:

2L^2 - 27L + 70 = 0

6 0
3 years ago
Michelle pays $66.85 for a costume pattern and 8 yards of fabric. The pattern costs $4.85. How much does each yard of the fabric
Alchen [17]
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7 0
3 years ago
Read 2 more answers
Factor Completely: 3x2 + 9x - 30
enyata [817]

Answer:

3(x-2)(x+5)

Step-by-step explanation:

1. Factor out common term 3

3(x^2 +3x-10)

2. Factor (x^2 +3x-10)

3(x-2)(x+5)

8 0
4 years ago
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