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satela [25.4K]
3 years ago
9

Mandi already has a practice ball. She is buying the light jacket, but not the lined one. She needs to buy all of the other item

s on the soccer fee list. What are her total fees for soccer. Soccer fees: game uniform- $37.50 Light jacket- $23.25 Lined jacket- $42.00 Practice ball- $22.75 Pictures- $40.50 Hair band- $2.50
Mathematics
1 answer:
seraphim [82]3 years ago
4 0
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The local coffee shop offers a 10 percent discount to senior citizens on a cup of coffee and a donut. If the regular price is $2
LenKa [72]
2.95 * 10%=
2.95 * .1 =
.295
Subtract .295 from 2.95
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$ 2.66
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The roots of a quadratic equation ax2+bx+c=0 are 3+sqrt2 and 3−sqrt2. Find the values of b and c assuming that a=1.
slamgirl [31]

Answer:

b=-6\\c=7

Step-by-step explanation:

we know that

The general equation of a quadratic function in factored form is equal to

y=a(x-x_1)(x-x_2)

where

a is a coefficient of the leading term

x_1 and x_2 are the roots

we have

a=1\\x_1=3+\sqrt{2}\\x_2=3-\sqrt{2}

substitute

y=(1)(x-(3+\sqrt{2}))(x-(3-\sqrt{2}))

Applying the distributive property convert to expanded form

y=x^2-x(3-\sqrt{2})-x(3+\sqrt{2})+(3+\sqrt{2})(3-\sqrt{2})

y=x^2-(3x-x\sqrt{2})-(3x+x\sqrt{2})+(9-2)

y=x^2-3x+x\sqrt{2}-3x-x\sqrt{2}+7

y=x^2-6x+7

therefore

b=-6\\c=7

7 0
3 years ago
The area of a rectangular wall of a barn is 300 square feet. its length is 10 feet longer than twice its width. find the length
Savatey [412]

<span><span>L * W = 300 sq ft
</span><span> Length is 10 ft greater than twice the width.
L = 2W + 10
Substituting
(2W+10)*W = 300
2W^2 + 10W = 300
Divide both sides by 2
W^2 + 5W = 150
W^2 + 5W - 150 = 0
Factor
(W +15)(W -10) = 0</span></span>

<span>
<span> Roots are W=-15 and W=10.
A negative width is impossible, so W=10
L = 2W + 10
L = 2(10) + 10
L = 30</span></span>

 length = 30 feet, width = 10 feet

<span> Check: 30*10 = 300</span>


5 0
3 years ago
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