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3 years ago

9

If a store advertised a sale that gave customers a 1/4 discount what is the fractional part of the original price that the custo

mer will pay?

1 answer:

mina [271]3 years ago

8 0

It will be 3/4 of the original price

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F(x)=x what is the equation of the new function shift 8 units left shift 3 units down

nasty-shy [4]

Think of the equation of a linear function:
Recall y = mx + b for vertical shifts, we just add or subtract from 'b' and that will move the line up or down accordingly.. However, for horizontal shifts, we will need to add or subtract from 'x'. Note that the slope or 'm' stays the same for each type of shift.

Now that we know how the shifts occur, we might consider a different form of the equation for a linear function: y = a(x - h) + k here the 'a' is just our slope, 'k' is our original y intercept, and 'h' will represent the amount of horizontal shift.

So to get the desired transformations of a horizontal shift to the left of 8 and a vertical shift of down 3 from our original function y = x, we can make the following changes: y = (x + 8) - 3 Now you might be confused with how we got the 'x + 8'.. Let's consider values of 'h'. For positive values of h, the result will be a shift to the right and for negative values of h the result will be a shift to the left. So since we want a shift to the left we need to use a '-8' and when we substitute that into our new form, y = (x - h) + k you can see the sign change.

Now we can simplify of course and get the final equation: y = x + 5 or in function form f(x) = x + 5

4 0

3 years ago

Match the algebraic expressions given below with the verbal phrases.

aev [14]

Step-by-step explanation:

5n - 2 => 2 less than 5 times a number

2(5 + n)=> Twice the sum of 5 and a number

2n + 5 => The sum of twice a number and 5

5n/2 => Half of <u>5</u> times a number:

2 - 5n => The product of 5 and a number less than 2

8 0

3 years ago

the scale of a tower to its scale model is 1 meter 5cm . if the tower is 6 meters by 20 meters what are the dimensions of the sc

nikklg [1K]

1 m = 5 cm

6 m = 6 * 5 = 30 cm
20 m = 20 * 5 = 100 cm

dimensions are : 30 cm by 100 cm

8 0

3 years ago

What is the distance between (-5, 5) and (1, -2)

Murrr4er [49]

Answer:

$\displaystyle d=\sqrt{85}\text{, or about 9.22 units}$

Step-by-step explanation:

We will use the distance formula to solve.

$\displaystyle d=\sqrt{(x_{2}-x_{1})^2 +(y_{2}-y_{1})^2}$

$\displaystyle d=\sqrt{(1--5)^2 +(-2-5)^2}$

$\displaystyle d=\sqrt{(6)^2 +(-7)^2}$

$\displaystyle d=\sqrt{36+49}$

$\displaystyle d=\sqrt{85}\text{, or about 9.22 units}$

<em>Read more about using the </em><em>distance formula</em><em> here: brainly.com/question/15691280</em>

6 0

1 year ago

at one scholl at prep level there were 5 set of twins,two sets of triplets and one set of quadruplets starting school this year.

katen-ka-za [31]

Answer: Fraction of twins = $\frac{5}{8}$ Fractions of triplets = $\frac{1}{4}$ Fractions of quadruplets = $\frac{1}{8}$

Step-by-step explanation:

Since we have given that

Number of set of twins = 5

Number of sets of triplets = 2

Number of sets of quadruplets = 1

Total number of sets is given by

$5+2+1=8$

Now, we need to find the fraction of those students.

So, Fraction of twins is given by

$\frac{5}{8}$

Fractions of triplets is given by

$\frac{2}{8}=\frac{1}{4}$

Fractions of quadruplets is given by

$\frac{1}{8}$

3 0

3 years ago