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inessss [21]
3 years ago
7

What property is illustrated by this problem 45*0=0

Mathematics
1 answer:
Bingel [31]3 years ago
7 0

T​he zero property of multiplication

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Place the quadratic y=2x^2+24x+79 into vertex form by using the method of completing the square and then state the coordinates o
katrin2010 [14]

Answer:

y=2(x+6)^2+7

(-6,7)

Step-by-step explanation:

y=2x^2+24x+79

Completing the square is a process of converting a quadratic equation in standard form into vertex form.

The first step in completing the square is grouping the quadratic and linear terms of the quadratic equation.

y=(2x^2+24x)+79

Factor out the coefficient of the quadratic term,

y=2(x^2+12x)+79

Now complete the square, add a term to make the grouped part of the equation a complete square, then balance the equation.

y=2(x^2+12x+36-36)+79

Simplify,

y=2(x^2+12x+36)+79+(2)(-36)

y=2(x+6)^2+79-72

y=2(x+6)^2+7

The x-coordinate of the vertex of the equation is equal to (-1) times the numerical part of the quadratic term, and the y-coordinate is equal to the constant.

(-6,7)

7 0
3 years ago
A shipment of 12 microwave ovens contains three defective units. A vending company has ordered four units, and because each has
statuscvo [17]

Answer:a) 54/55

b) 100/110

c) 99/110

Step-by-step explanation:

a)Probability of ordering 4= 9/12×3/11×2/10×1/9 = 54/11880

Probability of 4 good units= 4 × 54/11880

= 216/11880

1/55

1-(1/55) = 54/55

b)Probability of 2 good units= 2 × 54/(11880)

= 108/11880

= 1/110

1- (1/110)= 100/110

c) Probability of exactly 2 units not good= 1 -(100/110) =99/110

8 0
3 years ago
Kate buys 2 lollies and 5 chocices for £6.50
kirill [66]

Answer:

50p

Step-by-step explanation:

pls mark brainliest! have a lovely day

7 0
2 years ago
What is the solution of |-1 + x| = 5
nataly862011 [7]

Answer:

6, -4

Step-by-step explanation:

abs(-1+x)=5

-1+x=5 and -1+x=-5

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

-1+x=5

x=5-(-1)=5+1=6

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

-1+x=-5

x=-5-(-1)=-5+1=-4

4 0
3 years ago
What is the radius of the circle x2+y2=12
valkas [14]

Answer:

Step-by-step explanation:

x²+y²=r²

r²=12

r=√12=2√3

7 0
3 years ago
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