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2 years ago

Question 9 of 25

Mathematics

2 answers:

tresset_1 [31]2 years ago

8 0

Answer:

One approach to this problem is to obtain the graph for the given equation.

We need to find every intersection those functions have with the axis 'x' and 'y'

starting with g(x)

g(x=0)=0-3, first point (0,-3) it iis the crossing point with 'x' axis

g(x)=0=x-3, second point (3,0) it iis the crossing point with 'y' axis

Lets do the same for f(x)

g(x=0)=0, this leads to the first point (0,0) it iis the crossing point with 'x' axis and also, with the 'y' axis

We dont need to find any other, since always y=x

By plotting we have the attached picture

Now you can see that g(x) differs from its parent function in that is shifted 3 units to the right, and also 3 units down.

Step-by-step explanation:

KengaRu [80]2 years ago

8 0

Answer:

If f(x) = x and g(x) = x - 3

then g(x) = f(x) - 3

So g(x) is a translation of f(x) by 3 units down.

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MrRissso [65]

Answer:

D: 18

Step-by-step explanation:

5 0

3 years ago

Jorge got a hit 8/25 of the times that he

kondor19780726 [428]

Answer:

32%

Step-by-step explanation:

Percent means out of 100 so we need the denominator to be 100

8/25 * 4/4 = 32/100

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3 years ago

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kykrilka [37]

Answer:

The Red set is greater than the other set because most of the date is clumped to the right and most data sets have the numbers go from smallest to greatest so Yes, the data sets are significantly greater than the other data set.

Step-by-step explanation:

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2 years ago

Casey has 48 peppers and 16 yellow peppers . If he wants to put the peppers into baskets so that each basket has the same number

liraira [26]

Answer:

3 red peppers and 1 yellow pepper in each basket.

Step-by-step explanation:

We have been given that Casey has 48 peppers and 16 yellow peppers. He wants to put the peppers into baskets so that each basket has the same number of red and yellow peppers. We are asked to find the number of red and yellow papers in each basket.

To solve our given problem, we need to find greatest common factor of 48 and 16.

Prime factorization of 48 is $2\times 2\times 2\times 2\times 3$ .

Prime factorization of 16 is $2\times 2\times 2\times 2$ .

Greatest common factor of 48 and 16 would be $2\times 2\times 2\times 2=16$ .

Therefore, Casey can make 16 baskets with same number of red and yellow peppers.

Now we will divide 48 and 16 by 16 to find number of red peppers and yellow peppers in each basket respectively.

$\text{Red peppers in each baseket}=\frac{48}{16}=3$

$\text{Red peppers in each baseket}=\frac{16}{16}=1$

Therefore, there will be 3 red peppers and 1 yellow pepper in each basket.

6 0

4 years ago

The points (2, 5) and (6,-3) fall on a particular line. What is its equation in slope-intercept form?

Pachacha [2.7K]

Answer:

y = -2x + 9

Step-by-step explanation:

slope intercept form : y = mx + b

where m = slope and b = y intercept

first let's find the slope

slope formula :

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

where the x and y values are derived from the given points

here we are given (2,5) and (6,-3)

(x1,y1) = (2,5) so x1 = 2 and y1 = 5

(x2,y2) = (6,-3) so x2 = 6 and y2 = -3

we now plug these values into the formula

recall formula

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

plug in x1 = 2, y1 = 5, x2 = 6 and y2 = -3

m = (-3 - 5) / ( 6 - 2 )

m = (-8)/(4)

m = -2

the slope is -2

now to find the y intercept we plug in the slope and the x and y value of a given point into slope intercept form and solve for b

y = mx + b

given point : (2,5) x = 2 , y = 5, m = -2

5 = -2(2) + b

5 = -4 + b

9 = b

so the equation would be y = -2x + 9

6 0

3 years ago