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3 years ago

The original price was $12, increased to $15. Find the percent increase

Mathematics

1 answer:

Studentka2010 [4]3 years ago

8 0

Answer:

25%

Step-by-step explanation:

Take the new price and subtract the original price

15-12 = 3

Divide by the original price

3/12 = .25

Multiply by 100%

25%

The percent increase is 25%

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(- 10.7) and (-3.5)

gogolik [260]

Answer:

-14.2

Step-by-step explanation:

5 0

2 years ago

Transform the given quadratic function into vertex form f(x) = quadratic function into vertex form f(x) = quadratic function int

melisa1 [442]

Answer:

Vertex form: $f(x) =(x +\frac{7}{2})^2 -\frac{53}{4}$

The vertex is $(-\frac{7}{2},-\frac{53}{4})$

Step-by-step explanation:

For a general quadratic function the form is:

$ax ^ 2 + bx + c$

For the function

$f(x) = x ^ 2+ 7x -1$

The values of the coefficients for the function are the following: $a = 1$ , $b =7$ , $c = -1$

Take the value of b and divide it by 2. Then, the result obtained squares it.

$\frac{b}{2}= \frac{7}{2}$

$(\frac{b}{2})^2=(\frac{7}{2})^2=\frac{49}{4}$

Add and subtract $\frac{49}{4}$

$f(x) = (x ^ 2 +7x +\frac{49}{4}) -\frac{49}{4}- 1$

Write the expression of the form

$f(x) = (x+\frac{b}{2})^2 +k$

$f(x) =(x +\frac{7}{2})^2 -\frac{53}{4}$

The vertex is $(-\frac{7}{2},-\frac{53}{4})$

6 0

3 years ago

1).<br>A) supplementary<br>B) complementary<br>C) comesponding<br>D) alternate interior

zlopas [31]

If you are trying to find the bigger angle, then the answer is A) Supplementary. But if you’re trying to find the small angle the answer is B) Complementary. C and D are both wrong.

4 0

3 years ago

The area of a triangle is 15x^4+3x^3+4x^2-x-3 square meters. The length of the base of the triangle is 6x^2-2 meters. What is th

MArishka [77]

Answer:

The height of the triangle is: $H = (5x^2 + x +3)$

Step-by-step explanation:

Here, the area the triangle is given as: $15x^4 + 3x^3 + 4x^2 - x - 3$

Also, base of the triangle = $(6x^2 -2)$

Let us assume the height of the triangle = H units

Now, AREA of TRIANGLE = $\frac{1}{2} \times B \times H$

$\implies (15x^4+3x^3+4x^2-x-3 ) = \frac{1}{2} \times ( 6x^2-2) \times H\\\implies H =\frac{ (15x^4+3x^3+4x^2-x-3 )}{(3x^2-1)}$

Solving by LONG DIVISION, we get:

$H = (5x^2 + x +3)$

Hence, the height of the triangle is: $H = (5x^2 + x +3)$

6 0

3 years ago

How to put the following in order largest to smallest 0.20.7569%

MakcuM [25]

0.2, 0.75, 60%, 1/2, 1, 1 1/4

60% is the same as 60/100 or 0.6
1 1/4 is the same as 5/4 or 1.25
1/2 is the same as 0.5
Now our list is

0.2, 0.75, 0.6, 0.5, 1.25 and 1

So from largest to smallest your answer would be...

1.25 , 1 , 0.75 , 0.6 , 0.5 , 0.2

8 0

3 years ago