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harkovskaia [24]

1 year ago

8

Enter the Correct answer in the box. Function g is graphed here. [see image] If function f is the parent exponential function f(

x) = e^x , what is the equation of transformed function g in terms of function f? Replace the value of a to complete the equation.

2 answers:

andrey2020 [161]1 year ago

4 0

Answer:

g(x) = 1.1f(x + 1)

Step-by-step explanation:

g(x) is the translation of the parent function f(x) to left by 1 unit and slightly stretched vertically.

<u>g(x) is:</u>

f(x) = 1.1f(x + 1)

<em>See attached with both graphs included</em>

omeli [17]1 year ago

3 0

Answer:

g(x)=3f(x)

Step-by-step explanation:

the f(x) creates the exact slope of those in the picture because is the parent function of g(x) and by adding the 3 in the front it set the y-intercept to be 3 as such in the picture visual.

-Also if you don't believe me you can always put it in a graphing calculator such as Desmos

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On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 3, 1) and (0, 3). Everything to th

Allushta [10]

Answer:

$y>\frac{2}{3}x+3$

Step-by-step explanation:

step 1

Determine the slope of the dashed line

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

we have

(-3,1) and (0,3)

substitute

$m=\frac{3-1}{0+3}$

$m=\frac{2}{3}$

step 2

Find the equation of the dashed line in slope intercept form

$y=mx+b$

we have

$m=\frac{2}{3}$

$b=3$ ---> given problem

substitute

$y=\frac{2}{3}x+3$

step 3

Find the equation of the inequality

we know that

Is a dashed line and everything to the left of the line is shaded

so

$y>\frac{2}{3}x+3$

see the attached figure to better understand the problem

8 0

1 year ago

Read 2 more answers

Divide rs 350 in ratio 2:5

mihalych1998 [28]

Answer:

100 : 250

Step-by-step explanation:

Sum the parts of the ratio, 2 + 5 = 7 parts

Divide the quantity by 7 to find the value of one part of the ratio.

350 ÷ 7 = 50 ← value of 1 part of the ratio, thus

2 parts = 2 × 50 = 100

5 parts = 5 × 50 = 250

350 = 100 : 250 in the ratio 2 : 5

6 0

2 years ago

Use the distributive property to solve the equation 4x/5-x=x/10-9/2

Oksana_A [137]

Answer:

$\Huge\boxed {x = 15}$

Step-by-step explanation:

⟾Collect like terms

8x - 10x = x - 45

⟾Move the variable to the left

- 2x = x - 45

⟾Collect like terms again

- 2x - x = - 45

⟾Divide both sides by -3

- 3x = - 45

⟾ x = 45 ÷ 3

x = 15.

Hope it's helps you

4 0

2 years ago

Recent homebuyers from a local developer allege that 30% of the houses this developer constructs have some major defect that wil

umka21 [38]

Answer:

3.54% probability of observing at most two defective homes out of a random sample of 20

Step-by-step explanation:

For each house that this developer constructs, there are only two possible outcomes. Either there are some major defect that will require substantial repairs, or there is not. The probability of a house having some major defect that will require substantial repairs is independent of other houses. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

30% of the houses this developer constructs have some major defect that will require substantial repairs.

This means that $p = 0.3$

If the allegation is correct, what is the probability of observing at most two defective homes out of a random sample of 20

This is $P(X \leq 2)$ when n = 20. So

$P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)$

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{20,0}.(0.3)^{0}.(0.7)^{20} = 0.0008$

$P(X = 1) = C_{20,1}.(0.3)^{1}.(0.7)^{19} = 0.0068$

$P(X = 2) = C_{20,2}.(0.3)^{2}.(0.7)^{18} = 0.0278$

$P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0008 + 0.0068 + 0.0278 = 0.0354$

3.54% probability of observing at most two defective homes out of a random sample of 20

5 0

1 year ago

What is the equation of <br> -2(x-3)+4x=-(-x+1)

BabaBlast [244]

Answer:

Exact form: $-5/3$

Decimal form: $-1.66$ (repeating)

Mixed number form: $-1\frac{2}{3}$

8 0

1 year ago

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