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goldenfox [79]
3 years ago
15

Jan takes her three children and two neighbors children to a matinee.all of the children are under age 13.

Mathematics
1 answer:
podryga [215]3 years ago
5 0
What the questions?????
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$6% of $17.75<br> Find sales tax
Anastaziya [24]

Answer: 1.07

Step-by-step explanation: multiply the percentage. for ex: 17.75 X .06 = 1.065

7 0
4 years ago
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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
What is the prime factorization of 152
MakcuM [25]

Answer:

2

Step-by-step explanation:

Prime Factorization of 152 =2

3 0
3 years ago
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Does anyone know what b is?
sveticcg [70]

Answer: b = 17

Step-by-step explanation: The figure shows a triangle which upon closer observation is actually two triangles placed one inside the other. We have triangle QTR (the larger one) and triangle PTS (the smaller one).

The line PS is parallel to line QR, so in effect what we have here are two similar triangles. The ratios of similarity can be derived as

Line QT/line TR = line PT/line TS OR

Line QT/line QR = line PT/line PS.

With these ratios in mind we can now write the following expressions from the similar triangles;

QT = 2b + (2b - 17) and

TR = 16 + 8

TR = 24

Hence,

2b/16 = 2b + (2b - 17)/24

(That is, PT/TS = QT/TR)

2b/16 = (4b - 17)/24

By cross multiplication we now have,

2b(24) = 16(4b - 17)

By expanding the brackets we now have

48b = 64b - 272

By collecting like terms, 64b now moves to the left side of the equation and becomes negative

48b - 64b = -272

-16b = -272

Divide both sides of the equation by -16

b = 17

**Note** A negative number divided by another negative number yields a positive answer.

7 0
3 years ago
The sum of two consecutive odd integers is 32 what are the two integers
padilas [110]
15 and 17 is the answer
6 0
3 years ago
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