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Brums [2.3K]
3 years ago
9

Doug’s family buys 7 postcards while on vacation. Each postcard costs 0.25$ including tax. How can Doug use the number line to f

ind the total cost of the postcards what is the total cost?

Mathematics
1 answer:
larisa [96]3 years ago
3 0

Answer: Total cost is $1.75

Explanation:

Since we have given that

Number of postcards bought by Doug's family= 7

Cost of each postcard including tax = $0.25

Total cost is given by

7\times 0.25=\$1.75

Now, we want to show this in number line :

On the number line put all the number with a difference of 0.25 and run the number line seven times and we get the answer.

Each step is of length 0.25 and there are 7 jumps to reach required answer.

So, after 7 jumps we reach at 1.75 which is the required answer.

Hence total cost is $1.75

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How does the graph of g(x) = (x + 4)3 − 5 compare to the parent function f(x) = x3
vodka [1.7K]

Transforming the function using f(x - h) shifts its graph h units to the right. Here, we have h = -4, so the graph exists shifted 4 units to the left.

<h3>What are transforming functions?</h3>

The transformations of functions describe how to graph a function that exists moving and how its shape exists being changed. There exist basically three kinds of function transformations: translation, dilation, and reflection.

Let f(x) = x³ be the original function.

When -5 exists added to the y-value, it moves the point on the graph down 5 units. Compared to f(x), g(x) exists 5 units down.

f(x) = (x + 4)³ - 5

= [x- (- 4) ]³ - 5 (shift 4 units in the negative x direction that exists 4 units left)

Transforming the function using f(x - h) shifts its graph h units to the right. Here, we have h = -4, so the graph exists shifted 4 units to the left.

To learn more about transforming functions refer to:

brainly.com/question/14261221

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6 0
2 years ago
in 1900, greenville had a population of 4000 people. Greenville's population increased by 100 people each year. Springfield had
jasenka [17]

Answer: year 1948

Step-by-step explanation:

1900 is our t = 0

The population of Greenville can be written as:

G = 4000 + 100*t

the equation for Springfield can be written as:

S = 1000*(1.04)^t

we want to find the value of t that makes S(t) = G(t)

4000 + 100*t = 1000*(1.04)^t

(4000 + 100*t) = 1.04^t

4 + 0.1*t = 1.04^t

now, you can graph both of this equations (left side and right side) and see in wich value of t the graphs intersect eachother, or you also may use different values of t until the values are about the same for both sides, which is the thing i did with the equation:

4 = 1.04^t - 0.1*t

You will find that the correct value is t = 48

So we can assume that in year 1948 the populations will be about the same.

5 0
3 years ago
The equation of the line of best fit of a scatter plot is y = 6x − 9. What is the slope of the equation?
nignag [31]
The slope of the equation is 6
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The box plot represents a data set
ValentinkaMS [17]

Answer: Im gonna say 12

Step-by-step explanation:

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3 years ago
Homework J
shtirl [24]

Answer:

ga = 14

gb = 17

Explanation:

It's just simply replacing the empty spaces (let's call those x) and doing the necessary operations. If I gave you T = 10 + x, T would be equal to 10x. Similarly, in the first problem we replace x with the given number g and then do all our operations (T = 10 + g(4)), in the second one, we also have to remember that the formula to calculate T is T = 10 + g. Knowing that, we replace the first blank (y) with 10, and the second blank with our given number g. I hope you do well :D

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4 years ago
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