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ra1l [238]
3 years ago
13

3.

Mathematics
1 answer:
Fudgin [204]3 years ago
6 0

40% means "40 out of 100"

    40 ÷ 100 = 0.40

So, 40% = 0.40 as a decimal

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Which three steps are correct when solving this quadratic equation by completing the square? X^2-10x=39
sergey [27]

Step-by-step explanation:

Any answer that involes,

Step 1: Complete the Square

{x}^{2}  - 10x = 39

( \frac{  - 10}{2} ) {}^{2}  = 25

{x}^{2}  - 10x + 25 = 64

Step 2: Turn the left side into a binomial

(x - 5) {}^{2}  = 64

Step 3: Solve for x.

x - 5 = +  -  8

x - 5 = 8

x = 13

OR

x - 5 =  - 8

x =  - 3

X=-3 or X=13

4 0
3 years ago
In the coordinate plane, choose the graph with the conditions given. x >-2
Fofino [41]

Answer:

In the attachment

Step-by-step explanation:

<, > - dots line

≤, ≥ - solid line

<, ≤ - shading to the left

>, ≥ - shading to the right

-----------------------------------------------------

We have x > -2

dot line x = -2

shading to the right

8 0
3 years ago
Of five letters (A, B, C, D, and E), two letters are to be selected at random. How many possible selections are there?
taurus [48]

Answer: d. 10

Step-by-step explanation:

We know that the number of combinations of r objects selected from a group of n objects at a time is given by :-

^nC_r=\dfrac{n!}{(n-r)!r!}

Given : The total number of letters = 5

The number of letters need to select = 2

Then , the number of combinations of 2 letters selected from a group of 5 letters at a time is given by :-

^5C_2=\dfrac{5!}{(5-2)!2!}=\dfrac{5\times4\times3!}{3!\times2}=10

Hence, there are 10 possible selections.

8 0
3 years ago
What does b do in y=ax^2+bx+c. How can b being positive or negative affect a graph?
Dmitry_Shevchenko [17]

Answer:

The positions of the vertex and the axis of symmetry change.

Step-by-step explanation:

Let’s examine three parabolas in which a and c remain constant and only b changes.

(1) y = x² -  2x + 1

(2) y = x²         + 1

(3) y = x² + 2x + 1

In the image below,

Equation (1) is the black parabola, Equation (2) is green, and Equation (3) is red.

When b is more negative, the vertex moves down, and the axis of symmetry moves to the right.

When b is more positive, the vertex moves down, and the axis of symmetry moves to the left.

4 0
3 years ago
What is the square root of 2 ?
Ivanshal [37]

Answer:


Step-by-step explanation:

1.414213562 or 1.4 rounded to the nearest tenth.

6 0
4 years ago
Read 2 more answers
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