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3 years ago

F(x)-mx+ b, f(-2)=3 and f(4)=1 , what is the value of m and b

Mathematics

1 answer:

NeX [460]3 years ago

3 0

Answer: $m=\dfrac{-1}{3}, b=\dfrac{7}{3}$

Step-by-step explanation:

Given

Function is $f(x)=mx+b$

$f(-2)=3$

$\therefore 3=m(-2)+b\\\Rightarrow b-2m=3\quad \ldots(i)$

$f(4)=1\\\therefore 1=4m+b\quad \ldots(ii)$

from (i) and (ii) we get

$m=\dfrac{-1}{3}, b=\dfrac{7}{3}$

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Yakvenalex [24]

Answer:

Suppose we have a random number A.

The multiplicative inverse of A is a number X such that:

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When we work with real numbers, X = 1/A

Then:

A*(1/A) = A/A = 1

This means that (1/A) is the multiplicative inverse of A.

Where we need to have A ≠ 0, because we can not divide by 0.

Now we want to find the multiplicative inverse of the numbers:

2: Here the inverse is (1/2) = 0.5

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3 years ago

6) The sum of three consecutive numbers is 120.<br> What is the smallest of the three numbers ?

bekas [8.4K]

Answer:

Step-by-step explanation:

Let the smallest number be n,

then the three numbers are n, n+1 and n+2

Therefore, n+(n+1)+(n+2)=120

Collecting like terms,

n+n+n=120-1-2

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Therefore the numbers are 39,40 and 41.

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3 years ago

Zendaya has 5656 yard of wood to make racks for a word tile game. Each rack needs to be 1616 yard long. How many racks can Zenda

snow_lady [41]

Answer: 3

Step-by-step explanation:

Given

Zendaya has 5656 yards of wood

Each rack need 1616 yards

Number of racks that can be formed using 5656 yards are

$\Rightarrow \dfrac{5656}{1616}=3.5$

3.5 represents 3 racks as 0.5 racks is insignificant

Therefore, 3 racks can be built from 5656 yards

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3 years ago

for a different punch recipe, the equation,s=4c represents the number of cups of seltzer,s, that you need for,c, cups of cranber

asambeis [7]

Answer:

Step-by-step explanation:

If two variables are proportional then

$y\propto x$

$y=kx$ ...(i)

where, k is constant of proportionality.

The given equation is

$s=4c$ ...(ii)

where,

s = number of cups of seltzer.

c = cups of cranberry juice.

On comparing (i) and (ii), we get

Independent variable: $x=c$

Dependent variable: $y=s$

Constant of proportionality: $k=4$

Therefore, the constant of proportionality is 4.

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3 years ago