Evaluate the function f(x)=4•7^x for x=-1 and x2 show your work

Answers

Answer 1

Answer: When you evaluate the function f (x) = 4 • 7 ^ x for x = -1 you get:
f (-1) = 4 * 7 ^ -1
f(-1) = 4* 1/7
f (-1) = 0.5714
The next part of the question is not clear. If it refers to the function at x = 2 then:
f (2) = 4 * 7 ^ (2)
f(2) =4*49
f (2) = 196
If it refers to it in x ^ 2
f (x ^ 2) = 4 * 7 ^ (x ^ 2)

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Write an equation in slope-intercept form for the line that passes through (4,5) and parallel to the to the line described by y=5x+10

Answers

Answer:

$y = 5x-15$

Step-by-step explanation:

Parallel ⇒ So the slopes will definitely be equal

So,

Slope = m = 5

Now,

Point = (x,y) = (4,5)

So, x = 4, y = 5

Putting these in the slope intercept form to get b

$y = mx +b \n$

5 = (5)(4) + b

5 = 20 + b

b = -20+5

b = -15

So, Putting m and b in the slope intercept form to get the required equation,

$y = 5x-15$

What is the domain of the function?Question 2 options:

all real numbers greater than or equal to 1

all real numbers less than or equal to 5

all real numbers less than or equal to 1

all real numbers

Answers

Answer:

"all real numbers"

Step-by-step explanation:

The domain is the set of x-values for which the function is defined.

Domain is also the input of the function (graph).

The graph shown has arrows in both directions. It means that the graph goes on in both directions. If we were to think correctly, we would say the graph would go on-and-on in both +ve x and -ve x directions. So there would be values of x for all real numbers (going to infinity and negative infinity)

Hence, the domain is all real number, the last answer choice is right.

kylie is 6 years younger than her brother. The sum of their ages is 22. How old is Kylie? How old is her brother

Answers

Kylie is 8 and her Brother is 14
14-6 = 8 * Kylie’s age is 8
Sum: 8 + 14 = 22

What is the 7th term in the series? 15,35,55

Answers

5 is the answer just because counting the comas

Question5°F - 32)

The function to convert Fahrenheit to Celsius is °C = (°F) =

The inverse function will

9

convert Celsius to Fahrenheit. What is the inverse function? Complete the explanation of how

determining this inverse is different than determining the previous inverses.

The inverse function is °F = -(°C)=

The F and °C (select) V need to be switched like the x and y did in the previous functions.

(select) degree measures, and because of the real-world relationship, switching them

(select) ✓ make sense.

Answers

Answer:

$F = (9C + 32)/(5)$

Step-by-step explanation:

Given

$C = ((5F - 32))/(9)$

Required

Determine the inverse function

$C = ((5F - 32))/(9)$

Make F the subject of formula:

Multiply through by 9

$9C = 5F - 32$

Add 32 to both sides

$9C + 32= 5F$

Divide through by 5

$(9C + 32)/(5)= F$

$F = (9C + 32)/(5)$

The inverse function is °F = (9/5 * °C) + 32.

To determine this inverse function, we first need to understand that it's the reverse conversion from Celsius to Fahrenheit. In the original conversion from Fahrenheit to Celsius, we subtracted 32 from the Fahrenheit temperature and then divided the result by 9/5 (or 1.8).

To find the inverse, we need to do the opposite operations in reverse order. First, we need to undo the division by 1.8, which is equivalent to multiplying by 5/9. Then, we need to undo the subtraction of 32 by adding 32 to the result.

This process is different from determining previous inverses because it involves reversing the operations in the opposite order and with different constants (5/9 and 32) compared to the original function.

The F and °C variables need to be switched in the inverse function because we are now going from Celsius to Fahrenheit, and the relationship between these temperature scales requires different mathematical operations.

Switching them makes sense because it aligns with the real-world relationship between the two temperature scales and ensures that the inverse function correctly converts from Celsius to Fahrenheit

for such more questions on Inverse function

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The test statistic of zequalsnegative 2.40 is obtained when testing the claim that less than 0.32. a. Using a significance level of alphaequals0.10, find the critical value(s). b. Should we reject Upper H 0 or should we fail to reject Upper H 0