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Olenka [21]
3 years ago
11

What are the x- and y-intercepts of g(x) = 4 – x??

Mathematics
1 answer:
olya-2409 [2.1K]3 years ago
8 0

Answer:

See below in bold.

Step-by-step explanation:

The y -intercept is when x = 0 so

it is 4 - 0 = 4

That is (0, 4)

For the x intercept g(x) = 0 so

4 - x = 0

x = 4.

x -intercept is at  (4,0).

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Root of 9216 in prime factorisation
DaniilM [7]

Answer:

The square root of 9216 is 96

Step-by-step explanation:

Given the number 9216 we have to find the  square root of 9216 by <u>Prime factorization method</u>

Prime factors of 9216 are

2*2*2*2*2*2*2*2*2*2*3*3= 9216

Now, make pairs of same factors and choose one factor out of every pair and then take the product.

Hence, the square root of 9216 is 96

5 0
4 years ago
Can someone help me with this??
lukranit [14]
10 40 400
20 30 600
25 25 625
35 15 525
40 60 2400
(mb if it’s incorrect)
4 0
2 years ago
The local softball field has a lemonade stand. The graph shows the amount of money in the cash register of the lemonade stand.
Alexxandr [17]

1.

<h3>The y-intercept</h3>

The y-intercept is $35.

The y-intercept of a straight line graph is the point at which the graph intercepts the y-axis.

So, from the graph, the y-intercept is $35.

2.

<h3>The meaning of y-coordinate</h3>

The y-coordinate of the y-intercept of the function represents the amount of money present at the beginning of the sale when no cups where sold.

Since the y-intercept represents the point at which the graph intercepts the y-axis and then the x- value is zero, the y-coordinate of the y-intercept of the function represents the amount of money present at the beginning of the sale when no cups where sold.

The y-coordinate of the y-intercept of the function represents the amount of money present at the beginning of the sale when no cups where sold.

3.

<h3>The slope</h3>

The slope is 2.5

Since we are given two points on the line, the slope m of a line given two points (x₁, y₁) and (x₂, y₂) is m = (y₂ - y₁)/(x₂ - x₁).

From the graph, (x₁, y₁) = (3, 42.5) and (x₂, y₂) = (9, 57.5)

So, substituting these values into the equation for m, we have

m = (y₂ - y₁)/(x₂ - x₁)

m = (57.5 - 42.5)/(9 - 3)

m = 15.0/6

m = 2.5

The slope is 2.5

4.

<h3>Meaning of the slope</h3>

The slope represents the rate at which the lemonade is sold

Since the y-axis represent the amount of money in the cash register and the x-axis represents the number of cups of lemonade sold, the slope represents the rate at which the lemonade is sold.

The slope represents the rate at which the lemonade is sold

Learn more about straight-line graphs here:

brainly.com/question/14808962

8 0
2 years ago
A radioactive substance decays exponentially. A scientist begins with 190 milligrams of a radioactive
worty [1.4K]

Answer: 65.1 (mg)

Step-by-step explanation:

y=190*e^{-a*t}\\\\Calculate\ a:\\\\t=33,y=95(mg)\\\\190*e^{-a*33}=95\\\\e^{-a*33}=0.5\\\\-a*33=ln(0.5)\\\\a=\dfrac{ln(\dfrac{1}{2}) }{-33} \\\\a=0,02100... \approx{0.021}\\\\If\ t=51\ h, y=190*e^{-0.02100*51}=65.09167...\approx{65.1}

6 0
3 years ago
Geometry..............
Ivanshal [37]

Answer:

Probability of finding girls given that only English students attend the subject =33/59

Step-by-step explanation:

Given that during English lesson, there is no other lesson ongoing. The probability of getting girls in that class only will be equivalent to 33/59 since we expect a total of 59 students out of which 33 will be girls. Similarly, in a Maths class given that only Maths students attend the class, probability of having a girl is 29/61 since out of all students, only 29 prefer Maths and the total class attendance is 61

8 0
3 years ago
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