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Alexeev081 [22]
3 years ago
10

25 points What is the equation for the line in slope-intercept form

Mathematics
2 answers:
allsm [11]3 years ago
5 0

Answer:

y=8x

Step-by-step explanation:

x=1 y= 8

x=2 y=16

8=m+b

16=2m+b

m=8

y=8x

MaRussiya [10]3 years ago
3 0
Choose 2 coordinates from the line. Let’s pick (0,0) and (2,16)

The equation of a line is on the form y = mx + b where m is the slope and b is the y-intercept.

First let’s find the slope:

m = (y2-y1)/(x2-x1) = (16-0)/(2-0) = 16/2= 8

So we have y = 8x + b

We substitue one of the coordinates to find b. Let’s substitute (0,0)

We get 0 = 0 + b. So b = 0

The equation of the line is y = 8x
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What is the value of a for the exponential function in the graph represented in the form of f(x)=a(b^x)
Rina8888 [55]

<em><u>Note: The complete question, along with the graph, is attached below.</u></em>

<em><u /></em>

Answer:

The value of a = 3

Step-by-step explanation:

Given the function

f\left(x\right)=a\left(b^x\right)

From the attached graph, it is clear that

at x = 0,

f\left(0\right)=a\left(b^0\right)

\:f\left(0\right)\:=\:a\:\times \:1         ∵ b^0=1

f\left(0\right)=a

Thus

When x = 0, the y-intercept will be:

f\left(0\right)=a

From the attached figure, it is clear that

at x = 0, the value of y = 3

so

putting y = 3 in the equation

f\left(0\right)=a

3 = a            ∵ f\left(0\right)=y=3

Therefore, the value of a = 3

6 0
3 years ago
What is the value of a in the equation 4a + 3(a + 1) = 24?
Vlad [161]
A = 3. Hope this helps! (Was trying to show the work but I can't take pictures at the moment.)
3 0
3 years ago
Read 2 more answers
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Troyanec [42]

Answer:

You have to know the basic properties of exponents.

Jill's answer is wrong because you add the powers when there are like bases. You don't multiply.

2^{-3} *2^{6} = 2^{3}

-3+6=3

The base stays the same.

8 0
2 years ago
What is the 25th term given a₁ = 8 and r = 2?
kondaur [170]

Answer:

134217728

Step-by-step explanation:

The geometric sequence formula is:

\displaystyle{a_n = a_1r^{n-1}}

We know that \displaystyle{a_1=8} and \displaystyle{r=2}, we also want to find the 25th term, substitute n = 25:

\displaystyle{a_{25}=8\cdot 2^{25-1}}\\\\\displaystyle{a_{25}=8\cdot 2^{24}}\\\\\displaystyle{a_{25}=134217728}

Therefore, the 25th term of sequence is 134217728

3 0
2 years ago
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sineoko [7]
It would be 20 inches
Since 400=x^2
The square root of 400 is 20
7 0
3 years ago
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