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2 years ago

Why is b ≠ 1 a condition for f(x) = abx (x is a exponent i cant put it for some reason)?

Mathematics

1 answer:

timurjin [86]2 years ago

7 0

Answer:

1^x = 1

Step-by-step explanation:

If b = 1,

It will be a horizontal line:

y = a

Not an exponential curve

Because

y = a(1^x)

1 power anything is 1

y = a × 1

y = a

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zepelin [54]

Answer:

The required equation is: $\mathbf{f(x)=\frac{3}{4}x-\frac{29}{4}}$

Step-by-step explanation:

We need to find equation from the table given

x f(x)

3 -5

7 -2

11 1

15 4

We can write equation in the form of $y=mx+b$

where m is slope and b is y-intercept.

Finding Slope

We can used the slope formula to find slope: $Slope=\frac{y_2-y_1}{x_2-x_1}$

From the table we have: $x_1=3, y_1=-5, x_2=7, y_2=-2$

Putting values and finding slope

$Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{-2-(-5)}{7-3} \\Slope=\frac{-2+5}{7-3}\\Slope=\frac{3}{4}$

So, we get slope $m=\frac{3}{4}$

Now, finding y-intercept

Using the slope $m=\frac{3}{4}$ and point (3,-5) we can find y-intercept

$y=mx+b\\-5=\frac{3}{4}(3)+b\\-5=\frac{9}{4}+b\\b=-5-\frac{9}{4}\\b=\frac{-5*4-9}{4}\\b=\frac{-20-9}{4}\\b=\frac{-29}{4}$

The y-intercept is $b=\frac{-29}{4}$

So, the equation having slope $m=\frac{3}{4}$ and y-intercept $b=\frac{-29}{4}$ will be:

$y=mx+b\\y=\frac{3}{4}x-\frac{29}{4}$

The required equation is: $\mathbf{f(x)=\frac{3}{4}x-\frac{29}{4}}$

6 0

2 years ago

Ddasdsfasd NFLSD kmsdn.nsd

Lelechka [254]

Same. Same. Just like me

6 0

2 years ago

Will mark brainliest if amswer right pitcure included

just olya [345]

Answer:

QPT is obtuse

SPQ is acute

TPR is right

Step-by-step explanation:

Took geometry two years ago

8 0

3 years ago

Read 2 more answers

Which number can each term of the equation be multiplied by to eliminate the decimals before solving?

Sati [7]

Ok...

5.6 = 56/10 = 560/100

1.1 = 11/10 = 110/100

0.12 = 12/100

--------------

$\frac { 560 }{ 100 } j-\frac { 12 }{ 100 } =4+\frac { 110 }{ 100 } j\\ \\ \\ 100\times \left( \frac { 560 }{ 100 } j-\frac { 12 }{ 100 } \right) =\left( 4+\frac { 110 }{ 100 } j \right) \times 100\\ \\ 560j-12=400+110j\\ \\ 560j-110j=400+12\\ \\ 450j=412\\ \\ j=\frac { 412 }{ 450 }$

So, the answer is: 100

You could multiply both sides of the equation by 100 to get the value of (j) quickly.

6 0

2 years ago

Read 2 more answers

How to write 19,000+400+1+60=

zloy xaker [14]

Answer: 19,461

Step-by-step explanation:

Add 19,000+400 get 19,400

Add 19,400+60 and get 19,460 add 1 and get 19,461

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2 years ago