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3 years ago

What are the solutions for x when y is equal to 0 in the quadratic function y=x^2-8x

1 answer:

5 0

I would use the quadratic formula for this:

x = -b ± √b² - 4ac over 2a
x = 8 ± √64 - 4(1)(0) over 2(1)
x = 8 ± √64 over 2
x = 8 ± 8 over 2 [simplify]
x = 4 ± 4
x1 = 4 + 4 x2 = 4 - 4
x1 = 8 x2 = 0

Thus, the solutions for x would be 0 and 8.

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Graph and label the image of the figure below after a dilation by a factor of 1/2.

neonofarm [45]

Answer:

M' (1.5, -1), F' (2, -1), L' (0.5 -2.5), W' (2.5, -2.5)

see graph below

Explanation:

Given:

The image of a quadrilateral on a coordinate plane

To find:

The coordinates of the new image after dilation of 1/2 have been applied to the original image.

Then graph the coordinates

First, we need to state the coordinates of the original image:

M = (3, -2)

F = (4, -2)

L = (1, -5)

W = (5, -5)

Next, we will apply a scale factor of 1/2:

$\begin{gathered} Dilation\text{ rule:} \\ (x,\text{ y\rparen}\rightarrow(kx,\text{ ky\rparen} \\ where\text{ k = scale factor} \\ \\ scale\text{ factor = 1/2} \\ M^{\prime}\text{ = \lparen}\frac{1}{2}(3),\text{ }\frac{1}{2}(-2)) \\ M^{\prime}\text{ = \lparen}\frac{3}{2},\text{ -1\rparen} \\ \\ F\text{ = \lparen}\frac{1}{2}(4),\text{ }\frac{1}{2}(-2)) \\ F^{\prime}\text{ = \lparen2, -1\rparen} \end{gathered}$ $\begin{gathered} L\text{ = \lparen}\frac{1}{2}(1),\text{ }\frac{1}{2}(-5)) \\ L^{\prime}\text{ = \lparen}\frac{1}{2},\text{ }\frac{-5}{2}) \\ \\ W\text{ = \lparen}\frac{1}{2}(5),\text{ }\frac{1}{2}(-5)) \\ W^{\prime}\text{ = \lparen}\frac{5}{2},\text{ }\frac{-5}{2}) \end{gathered}$

The new coordinates:

M' (3/2, -1), F' (2, -1), L' (1/2, -5/2), W' (5/2, -5/2)

M' (1.5, -1), F' (2, -1), L' (0.5 -2.5), W' (2.5, -2.5)

Plotting the coordinates:

3 0

1 year ago

A can do a piece of work in 4 hours and B can do it in 6 hours. How much time would they take working together to finish the wor

Kipish [7]

Answer:

2.4 hours

Step-by-step explanation:

Let total work = X

Rate of work done = X ÷ time

Rate of A = X/4

Rate of B = X/6

If they work together, rate is the sum of their individual rates, i.e.

X/4 + X/6

= (3X + 2X)/12 (taking LCM)

=5X/12

Rate = X/time

5X/12 = X/time

time = X÷(5X/12)

time = X × 12/(5X)

time = 2.4 hours

Shortcut:

Product of individual times/sum of individual times

= (4×6)/(4+6)

=24/10

=2.4 hours

8 0

3 years ago

Read 2 more answers

A phone was purchased for $318. Each year the value is 1/2 of its value the previous year. Write a function that describes the v

zubka84 [21]

Answer:

y=318(1-0.5)^x

Step-by-step explanation:

x represents the amount of years and y is the ending price

8 0

3 years ago

How many times larger is 5 × 106 than 5 × 102? PLEASE HELP !

Ray Of Light [21]

Divide the largest one by the smallest one : for example, the number 4 is 42=2× larger than the number 2.

Indeed, If you multiply 2 by 42 you'll get 4.

Of course, if a number is n× larger than another, then this other is n× smaller than the first one.

It will of course work with floating point : 0.6×10.6≈0.6×1.6667=1 so 1 is ~1.6667 times larger than 0.6 while 0.6 is ~1.6667 smaller than 1.

plz mark me as the Brainleist plz

5 0

3 years ago

What is the solution to this inequality? x - 8 > -3 A. X>-11 B. X<-11 C. X<5 D. X>5

erik [133]

Answer

D. X>5

Step by step explanation

x - 8 > -3

Here we have to find the value of x.

Add 8 on both sides, we get

x - 8 + 8 > -3 + 8

x > 5

Thank you.

4 0

3 years ago