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BlackZzzverrR [31]
3 years ago
11

A pair of designer sneakers was purchased for $100. Since they were purchased, their price has increased by 15%. What is the new

price?
Mathematics
1 answer:
german3 years ago
4 0

Answer:

115

Step-by-step explanation:

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80 points! Look at pic attached. I will mark brainiest if you explain your reasoning good. Random answers will be reported.
gregori [183]

Answer: No, your friend is not correct. You cannot use a similarity transformation to turn a square into a rectangle. Here's why:

1) If you used a similarity transformation, the size and position of the shape would change, but the shape itself remains the same.

2) Squares and rectangles are NOT similar.* Referring to the first point I listed, if the shapes are not similar, then a similarity transformation cannot be used to turn one shape into another.

<em>*Similar means that the edges are proportional to one another, such as a square with sides of 4 meters vs a square with sides of 2 meters: the sides are different lengths, but the shape is the same.</em>

I hope this helps! Please feel free to comment below if you need any clarification. Have a good day, and good luck on your assignment. :)

7 0
3 years ago
Given: (3.2 x 103) + (5.78 x 105) Solve the problem. Show and explain all of your work. ??????
qaws [65]
Simple....

you have: (3.2*103)+(5.78*105)

You want to simplify it..but first remember your order of operations...

1.) Remove the parentheses-->>

(3.2*103)=329.6

and

(5.78*105)=606.9

Which leaves you with...

329.6+606.9=

=936.5

Thus, your answer.
7 0
3 years ago
Solve the equation by graphing. If exact roots cannot be found, state the consecutive integers between which the roots are locat
zavuch27 [327]

Answer:

The equation contains exact roots at x = -4 and x = -1.

See attached image for the graph.

Step-by-step explanation:

We start by noticing that the expression on the left of the equal sign is a quadratic with leading term x^2, which means that its graph shows branches going up. Therefore:

1) if its vertex is ON the x axis, there would be one solution (root) to the equation.

2) if its vertex is below the x-axis, it is forced to cross it at two locations, giving then two real solutions (roots) to the equation.

3) if its vertex is above the x-axis, it will not have real solutions (roots) but only non-real ones.

So we proceed to examine the vertex's location, which is also a great way to decide on which set of points to use in order to plot its graph efficiently:

We recall that the x-position of the vertex for a quadratic function of the form f(x)=ax^2+bx+c is given by the expression: x_v=\frac{-b}{2a}

Since in our case a=1 and b=5, we get that the x-position of the vertex is: x_v=\frac{-b}{2a} \\x_v=\frac{-5}{2(1)}\\x_v=-\frac{5}{2}

Now we can find the y-value of the vertex by evaluating this quadratic expression for x = -5/2:

y_v=f(-\frac{5}{2})\\y_v=(-\frac{5}{2} )^2+5(-\frac{5}{2} )+4\\y_v=\frac{25}{4} -\frac{25}{2} +4\\\\y_v=\frac{25}{4} -\frac{50}{4}+\frac{16}{4} \\y_v=-\frac{9}{4}

This is a negative value, which points us to the case in which there must be two real solutions to the equation (two x-axis crossings of the parabola's branches).

We can now continue plotting different parabola's points, by selecting x-values to the right and to the left of the x_v=-\frac{5}{2}. Like for example x = -2 and x = -1 (moving towards the right) , and x = -3 and x = -4 (moving towards the left.

When evaluating the function at these points, we notice that two of them render zero (which indicates they are the actual roots of the equation):

f(-1) = (-1)^2+5(-1)+4= 1-5+4 = 0\\f(-4)=(-4)^2+5(-4)_4=16-20+4=0

The actual graph we can complete with this info is shown in the image attached, where the actual roots (x-axis crossings) are pictured in red.

Then, the two roots are: x = -1 and x = -4.

5 0
3 years ago
Which expression is equivalent to 5^3?
AleksAgata [21]

Answer:

C and D

Step-by-step explanation:

5^3 - 5^0 = 125 - 1 = 124, so it's not A

5^12 / 5^4 = 5^(12-4) = 5^8, so it's not B

5^7 * 5^-4 = 5^(7+(-4)) = 5^3, so it can be C

5^0 * 5^3 = 5^(0+3) = 5^3, so it can be D

5 + 5^2 = 5 + 25 = 30, so it can't be E

3 0
2 years ago
Y = 3x + 6<br> y = (x + 4)2 – 10<br><br> What’s the solution set for this
mezya [45]

The answer is,

y = -18, x = -8

3 0
2 years ago
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