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Stells [14]
3 years ago
10

Decompose each multiple of tens hundreds or thousands before multiplying

Mathematics
1 answer:
vodka [1.7K]3 years ago
4 0
It means break them down so u get just one factor 
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Result, Rachel can be certain that the temperature is suitable for her cake.

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3 years ago
Graph f(x) =-2x^+16x-30 by factoring to find the solutions, then find the coordinates of the vertex, and the axis of symmetry. I
fredd [130]

Answer:

<em>Observe attached image</em>

<em>Function zeros:</em>

(3, 0), (5, 0)

<em>Vertex:</em>

(4, 2)

<em>Axis of symmetry:</em>

<em>x =4</em>

Step-by-step explanation:

<u>First factorize the function</u>

f (x) = -2x ^ 2 + 16x-30

<em>Take -2 as a common factor.</em>

-2(x ^ 2 -8x +15)

<em>Now factor the expression x ^ 2 -8x +15</em>

You must find two numbers that when you add them, obtain the result -8 and multiplying those numbers results in 15.

These numbers are -5 and -3

Then we can factor the expression in the following way:

f (x) = -2(x-5)(x-3)

<em><u>The quadratic function cuts the x-axis at </u></em><em>x = 3 and at x = 5.</em>

Now we find the coordinates of the vertex.

For a function of the form ax ^ 2 + bx + c the x coordinate of its vertex is:

x = \frac{-b}{2a}

In the function f (x) = -2x ^ 2 + 16x-30

a = -2\\b = 16\\c = 30

<u>Then the vertice is:</u>

x = \frac{-16}{2(-2)}\\\\x = 4

The y coordinate of the symmetry axis is

y = f (4) = -2 (4) ^ 2 +16 (4) -30\\\\y = 2

The axis of symmetry is a vertical line that cuts the parabola in two equal halves. This axis of symmetry always passes through the vertex.

<u>Then the axis of symmetry is the line</u>

x = 4

<u>The solutions and the vertice written as ordered pairs are:</u>

<em>Function zeros:</em>

(3, 0), (5, 0)

<em>Vertex:</em>

(4, 2)

6 0
3 years ago
2 While solving the equation 4(x+2) = 28, Becca
mrs_skeptik [129]
Distributive, if you do 4 times x and 4 times 2 you get 4x+8
3 0
3 years ago
Read 2 more answers
I WILL MARK BRAINLIEST <br><br> 22 - 2x + 4(x - 2)= 34
lara [203]

Answer:

x = 10

Step-by-step explanation:

22 - 2x + 4(x - 2) = 34

22 - 2x + 4x - 8 = 34

22 - 8 - 2x + 4x = 34

14 + 2x = 34

-14           -14

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

2x = 20

/2     /2

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

x = 10

7 0
2 years ago
Read 2 more answers
a hiking trail has a slope of 7/32. what is the measure of the angle it makes with the horizontal line
Ahat [919]
10 degree slope angle
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3 years ago
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