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Vikentia [17]
3 years ago
7

The point-slope form of the equation of the line that passes through (–9, –2) and (1, 3) is y – 3 = one-half EndFraction(x – 1).

What is the slope-intercept form of the equation for this line?
y = y equals StartFraction one-half EndFraction x plus 2.x + 2
y = y equals StartFraction one-half EndFraction x minus 4.x – 4
y = y equals StartFraction one-half EndFraction x plus StartFraction 5 Over 2 EndFraction.x +
y = y equals StartFraction one-half EndFraction x minus StartFraction 7 Over 2 EndFraction.x –

Mathematics
2 answers:
astraxan [27]3 years ago
7 0

Answer: attached below

Step-by-step explanation:

yawa3891 [41]3 years ago
3 0

Answer:

c

Step-by-step explanation:

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Let T:R²->R² be a linear transformation ,and assume that T (1,2)=(-1,1) and T(1,-1)=(2,3)
zavuch27 [327]

Answer:

(-4,-1)

Step-by-step explanation:

We are given T(1,2)=(-1,1) and T(1,-1)=(2,3) and T is a linear transformation.

This implies for scalars a and b that

T(a(1,2)+b(-1,1))=aT(1,2)+bT(-1,1)

T((a,2a)+(-b,b))=a(-1,1)+b(2,3)

T((a-b,2a+b))=(-a,a)+(2b,3b)

T((a-b,2a+b))=(-a+2b,a+3b)

This means we should be able to solve the system below to find a and b for T(3,3):

a-b=3 and 2a+b=3

Add equations to eliminate b and solve for a:

3a=6

Divide 3 on both sides:

a=2

If a-b=3 and a=2, then b=-1.

Plug in a=2, b=-1:

T((a-b,2a+b))=(-a+2b,a+3b)

T((2--1,2×2+-1)=(-2+2×-1,2+3×-1)

T(3,3)=(-4,-1).

4 0
3 years ago
Hugo is 6 feet 4 inches tall, weighs 225 pounds, and very muscular. if you think hugo is more likely to be a professional footba
Anna [14]
I am using an <span>inductive argument. In logical, in this type of argument if the premises are assumed true, it is </span>likely<span> that the conclusion is true (though the conclusion could be false). 

</span><span>An inductive argument is intended to show that its conclusion is probably or likely true, though not certainly true, if its premises all are true. The author of an inductive argument (if sincere) only aims to establish the intended conclusion with a high degree of probability although not with complete certainty.

</span><span>Words such as “probably,” “likely,” and “it is reasonable to conclude” suggest that you intend your argument to show that the conclusion is probably, but not certainly, true. The statement above use the words "more likely", then this word tell us that this is, in fact, an inductive argument.</span>


8 0
3 years ago
Read 2 more answers
An individual has $40,000 to invest: $28,000 will be put into a low-risk mutual fund averaging 6.9% interest compounded monthly,
Troyanec [42]

Answer:

a) F(x) = 28,000( 1.00575 )^12x  + 12,000e^0.098x

b)  F'(x ) = 28,000 ( In 1.071224 ) ( 1.071224 )^x + 1176 e^0.098x  dollar per year

c) 3228.94 dollar/year,   3428.73 dollar/year

Step-by-step explanation:

Capital = $40,000

$28,000 = low-risk mutual fund

6.9% monthly compounded interest for the low risk mutual fund

$12,000  = high-risk yield bound fund

9.8% continuously compounded interest

<u>A) Equation for total amount in two investments </u>

F(x) = F1(x) + F2(x) ----- ( 1 )

where :

F1(x) ( future value for monthly compounded interest)

=  28,000( 1 + 0.069/12 )^12x = 28,000 ( 1.00575 )^12x

F2(x) ( future value for continuously compounded interest )

= ( 40,000 - 28,000 )e^0.098x = 12,000 e^0.098x

back to equation 1

F(x) = 28,000( 1.00575 )^12x  + 12,000e^0.098x

<u>B Rate of change equation </u>

f'(x) = d/dx (28,000( 1.00575 )^12x) + d/dx ( 12,000e^0.098x )

∴ f'(x) = 28,000 d/dx (1.00575^12)^x + 12,000 d/dx(b^x)

         = 28,000 ( In 1.071224 ) ( 1.071224 )^x + 12,000 ( In b ) ( b^x )

  f'(x ) = 28,000 ( In 1.071224 ) ( 1.071224 )^x + 1176 e^0.098x  dollar per year

<u>C) Determine how rapidly the combined amount will grow after 6 months and after 15 months </u>

i.e. x = 0.5 , x = 1.25 years

after 6 months

28,000 ( In 1.071224 ) ( 1.071224 )^(0.5) + 1176*e^((0.098(0.50))

=  1993.88  + 1235.06 = 3228.94 dollar/year

after 15 months

28,000 ( In 1.071224 ) ( 1.071224 )^(1.25) + 1176*e^((0.098(1.25 ))

=   2099.47  +  1329.26 = 3428.73 dollar/year

6 0
3 years ago
If I get a 14/17 on a test what is the percent that I will get?
mezya [45]
82% would be your grade.
7 0
4 years ago
Read 2 more answers
Three points of a function are graphed.
Igoryamba

Answer:The function is a direct variation function with a constant

of variation of 1.5.

Step-by-step explanation:

4 0
4 years ago
Read 2 more answers
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