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storchak [24]
3 years ago
10

Complete the equation of the line whose slope is -5/3 and y-intercept is (0, -2).

Mathematics
1 answer:
Vlada [557]3 years ago
6 0

Answer:

these are tough,   it takes a lot of practice to get used to these, sooo

Step-by-step explanation:

we know the slope, m= -5/3,   and we're given a point so use the point slope formula

y= mx + b

the point we are given is in this form  (x,y)

then plug the information into our point slope formula

y = (-5/3) x  + (-2)

y = -5x/3 -2

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Determine the next 3 terms after : 1 , -2 , 3 , -4 , 5
baherus [9]
<h3>Answer:  -6, 7, -8</h3>

Start with the sequence {1, 2, 3, 4, 5, 6, 7, 8, ...}

Then change the sign of every other term so you'll have the first term positive, the second term negative, and so on.

That updates to {1, -2, 3, -4, 5, -6, 7, -8, ...}

Every odd term (1,3,5,..) is positive while every even term (-2,-4,-6) is negative.

4 0
3 years ago
Statements that can be proven by a logical sequence of statements is called a(n)
laila [671]
A)Theorem. every theorem can be proved.
6 0
4 years ago
Read 2 more answers
99. What is the greatest prime factor of 5,355?<br> A. 17<br> B. 51<br> C. 119<br> D. 131<br> E. 153
NemiM [27]
Hello,

5355 is divisble by 3 since 5+3+5+5=18 is divisible by 3
5355=3*1785
1785 is divisble by 3 since 1+7+8+5=21 is divisible by 3
1785=3*595
595 is not divisible by 3 but by 5
595=5*119
119 is divisible by 7 since 1*2+1*3+9*1=14 is divisible by 7.
119=7*17

17 is prime
Answer A



8 0
3 years ago
1 point
swat32

Answer:

\log_{10}(147) = 2.1673

Step-by-step explanation:

Given

\log_{10} 3 = 0.4771

\log_{10} 5 = 0.6990

\log_{10} 7= 0.8451

\log_{10} 11 = 1.0414

Required

Evaluate \log_{10}(147)

Expand

\log_{10}(147) = \log_{10}(49 * 3)

Further expand

\log_{10}(147) = \log_{10}(7 * 7 * 3)

Apply product rule of logarithm

\log_{10}(147) = \log_{10}(7) + \log_{10}(7) + \log_{10}(3)

Substitute values for log(7) and log(3)

\log_{10}(147) = 0.8451 + 0.8451 + 0.4771

\log_{10}(147) = 2.1673

3 0
3 years ago
Explain how to determine the zeros of f(x)=(x+3)(x-1)(x-8)
spin [16.1K]

Answer:

x=-3,  x=1,  x=8

Step-by-step explanation:

When you have to find the zero of an equation like (x+3) all you have to do is solve for x.

x+3=0           equal the equation to zero

x+3-3=0-3    cancel out 3

x=-3              answer


If you have to find the zero of an equation like f(x)=-2x^2 - 5x + 7 then you would have to factor the equation.

7*-2=-14   multiply

-7 & 2   find the two numbers that when multiplied =14 and when added = -5

(2x^2 + 2)  (-7x + 7)  replace -5 with -7 & 2

-2x (x - 1)   -7 (x - 1)   factor

(x - 1)   (-2x - 7)    rewrite

1st: x - 1 = 0

          x = 1 : Answer

2nd: -2x - 7= 0

        -2x - 7 + 7 = 0 + 7

        -2x = 7

        -2x / -2 = 7 / -2

          x = 7 / -2 : Answer





7 0
3 years ago
Read 2 more answers
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