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Mama L [17]
3 years ago
10

(25)2×100÷23+[24÷(13−5)]

Mathematics
1 answer:
hram777 [196]3 years ago
7 0

Answer:

100*100/23+(24/8)

100*100/23+3

100*4.37+3

43.7+3

46.7

Step-by-step explanation:

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Write a quadratic equation given the roots -1/3 and 5, show your work
Travka [436]

\boxed{(x - a)(x - b) = 0}

The equation above is the intercept form. Both a-term and b-term are the roots of equation.

x =  -  \frac{1}{3}  \\ x = 5

These are the roots of equation. Therefore we substitute a = - 1/3 and b = 5 in the equation.

(x +  \frac{1}{3} )(x -  5) = 0

Here we can convert the expression x+1/3 to this.

x +  \frac{1}{3}  = 0 \\  3x + 1 = 0

Rewrite the equation.

(3x + 1)(x - 5) = 0

Simplify by multiplying both expressions.

3 {x}^{2}  - 15x + x - 5 = 0 \\ 3 {x}^{2}  - 14x  - 5 = 0

<u>Answer</u><u> </u><u>Check</u>

Substitute the given roots in the equation.

3 {(5)}^{2}  - 14(5)  - 5 = 0 \\ 75 - 70 - 5 = 0 \\ 75 - 75 = 0 \\ 0 = 0

3( -  \frac{1}{3} )^{2}  - 14( -  \frac{1}{3}) - 5 = 0 \\ 3( \frac{1}{9} ) +  \frac{14}{3}  - 5 = 0 \\  \frac{1}{3}  +  \frac{14}{3}  -  \frac{15}{3}  = 0 \\  \frac{15}{3}  -  \frac{15}{3}  = 0 \\ 0 = 0

The equation is true for both roots.

<u>Answer</u>

\large \boxed {3 {x}^{2}  - 14x - 5 = 0}

8 0
2 years ago
The student council is selling tickets to a school dance. One teacher decides to pay $10 for his class, and the students in the
Lostsunrise [7]

Hi,

x + y = 350                    (equation 1)

3x + 2y = 950                 (equation 2)


Use Substitution Method

Isolate variable x in equation 1


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Substitute equation 3 into equation 2


3(350 – y) + 2y = 950

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3y – 2y = 1050 – 950

y = 100


Substitute y = 100 into equation 1


x + 100 = 350

x = 250


Answer: 250 $3 tickets and 100 $2 tickets were sold.


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algol13
I believe the answer is A
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Answer:

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Step-by-step explanation:

are=A=πr2

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So the expression for height and length are x and x - 4
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