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SIZIF [17.4K]
3 years ago
9

SOMEBODY PLZ HELP NUMBER 2

Mathematics
1 answer:
Artyom0805 [142]3 years ago
3 0

1) using a graphic tool

see attached figure n1

 ph=0-----> for t=0.1

ph=1-------- > for t=0.01

 2) using a graphic tool

see attached figure n2

 for t=0.5------------------ > ph=-0.699

 p(t) = −log10t------------------ > y= −log10t

convert the logarithmic function into an exponential function 

we have   10^y = 10^(<span><span>-log(t))   ------------ ></span> 10</span>^(y)<span> = 1/t ---------- > t = 10</span>^(<span>-y)
</span>

t = 10^(-y) 

<span><span>3)                 </span>p(t) = −log10t </span>

 which transformation results in a y-intercept (t=0)

<span> case
</span> <span>a) p(t) + 1</span>
p(t) = −log10t +1

Still here you can not have a Y intercept (t can't =0) since you would still have log(0) which is forbidden

<span>b) p(t + 1)</span>
p(t) = −log10(t+1)
<span>Here of course t can be zero since that just gives you log(1). So you have a Y-intercept. </span>

using a graphic tool

see attached figure n3b

for t=0------------------------ph=-0.9

 c)  −1 • p(t)

p(t) = log10t 

 Still here you can not have a Y intercept (t can't =0) since you would still have log(0) which is forbidden

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Convert this number expressed in standard form to scientific notation.<br><br> 28,500,000
tekilochka [14]

Answer:

2.85 × 10^7

Step-by-step explanation:

1.In scientific notation, the whole number before the decimal point shouln't be more than 10(exclude 10) or less than 1(include 1)

2.Count the digits after the decimal point to write the power.

Solution;

1. 2.85( 2 is not less than 1 as well as more than 10).

2.Since there are 7 digits after the decimal point, we should write the power 10^7.

3. Complete answer;

2.85 × 10^ 7

6 0
3 years ago
I don’t understand can you help
Crazy boy [7]

Answer:

A=6

Step-by-step explanation:

8 0
3 years ago
Which expression is equivalent to 2x - 17?
liraira [26]

2x - 17?

= -17 +2x (using commutative property of addition, changing order and sum remains the same)

answer is A) -17 + 2x

8 0
3 years ago
Read 2 more answers
If alpha and beta are the zeroes of the polynomial f(x)= xsquare -8x +gamma such that alpha - beta = 2 find the value of gamma.
Komok [63]

Answer:

Γ = 15

Step-by-step explanation:

Given

f(x) = x² - 8x + Γ

with a = 1, b = - 8 and c = Γ , then

sum of zeros α + β = - \frac{b}{a} = - \frac{-8}{1} = 8

product of zeros = αβ = \frac{c}{a} = Γ

Given α - β = 2 , then

(α - β)² = 2²

α² - 2αβ + β² = 4 → (1)

and

(α + β)² = 8²

α² + 2αβ + β² = 64 → (2)

Add (1) and (2) term by term

2α² + 2β² = 68 ( divide through by 2 )

α² +β² = 34

Substitute α² + β² = 34 into (1)

34 - 2αβ = 4 ( subtract 34 from both sides )

- 2αβ = - 30 ( divide both sides by - 2 )

αβ = 15

Now

αβ = Γ = 15

Thus

f(x) = x² - 8x + 15

4 0
3 years ago
What is the equation of the line that passes through the point (5, -6) and has a<br> slope of – 3/5
Inessa [10]

Answer:

The answer is

<h2>y =  -  \frac{6}{5} x - 3 \\</h2>

Step-by-step explanation:

To find an equation of a line when given the slope and a point we use the formula

y -  y_1 = m(x -  x_1) \\

where

m is the slope

( x1 , y1) is the point

From the question the point is (5, -6) and slope - 3/5

The equation of the line is

y + 6 =  -  \frac{3}{5} (x - 5) \\ y + 6 =  -  \frac{3}{5} x + 3 \\ y =  -  \frac{6}{5} x + 3 - 6

We have the final answer as

y =  -  \frac{6}{5} x - 3 \\

Hope this helps you

3 0
4 years ago
Read 2 more answers
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