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Inessa [10]
3 years ago
7

Use properties of addition to find each sum mentally. Show your steps and identify the properties that you used. 9+6+31=

Mathematics
1 answer:
elena55 [62]3 years ago
6 0
To do this addition mentally, you should do like this:

31 requires 9 more to become 40 and since we have a nine in our question, we would first do 31 + 9 = 40. Now you would finish it off with the remaining number which is six. 40 + 6 = 46. 

<u>Steps</u>:
31 + 9 = 40
40 + 6 =46

Therefore, your answer would 46.
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Miguel sells insurance. He earns a 6% commission on each sale he makes. Miguel has a goal of earning $600 in commissions. Miguel
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Answer:

$564

Step-by-step explanation:

6% of 600 is 36

So 600-36= $564

7 0
3 years ago
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Use the discriminant to describe the roots of each equation. Then select the best description.
Marrrta [24]
Let's find the discriminant of <span>x^2+9x+14=0.  Here, a=1, b=9 and c=14.

The discriminant is b^2-4ac.  Substituting the above numeric values,
                                9^2-4(1)(14) = 81-56 = 25

The sqrt of 25 is 5.  Thus, your polynomial has two unequal, real roots.

Off the point example:  If the discriminant were zero, your poly would have two real, equal roots.</span>
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3 years ago
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2 years ago
Slope of the line 8x+6y=12
Harlamova29_29 [7]
The slope

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8 0
3 years ago
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Find the discriminant and determine the nature of the roots to the quadratic equation
Katen [24]
№17
x^{2} +6x-7=0 \\ D=6 ^{2} -4*(-7)=36+28=64=8 ^{2}  \\  \\  x_{1} = \frac{-6+8}{2} =1 \\  \\  x_{2} = \frac{-6-8}{2} =-7
Answer: x₁ = 1
               x₂ = - 7

№18
2 x^{2} -3x+4=3 \\ 2 x^{2} -3x+4-3=0 \\ 2 x^{2} -3x+1=0 \\  \\ D= -3 ^{2} -4*2=9-8=1 \\  \\  x_{1} = \frac{3+1}{2*2} = \frac{4}{4} =1 \\  \\  x_{2} = \frac{3-1}{2*2} = \frac{2}{4} =0.5
Answer: x₁ = 1
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№19
2 x^{2} -4x-5=0 \\  D=-4 ^{2} -4*2*(-5)=16+40=56 \\  \\  x_{1}= \frac{4+ \sqrt{56} }{2*2}  = \frac{4}{4} + \sqrt{ \frac{56}{16} } =1+ \sqrt{3.5}  \\  \\  x_{2} = \frac{4- \sqrt{56} }{2*2} = \frac{4}{4} -  \sqrt{ \frac{56}{16} } =1- \sqrt{3.5} &#10;
Answer: x₁ = 1 + √3.5
               x₂ = 1 - √3.5

3 0
3 years ago
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