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soldier1979 [14.2K]
3 years ago
5

How do I do it the one that is circled

Mathematics
2 answers:
butalik [34]3 years ago
6 0
Your answer is 7 1/7
AlekseyPX3 years ago
6 0
All u have to do is divide the numerator by the denominator

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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
Four more than twice a number<br><br>a.2x+4<br><br><br>b.4x+2<br><br>c.6x<br><br>d.2x &gt; 4​
makkiz [27]

Answer:

a. 2x + 4

Step-by-step explanation:

Four more than twice a number

Let x = unknown number

Four more than twice of x

Twice of x can be written as 2x

Four more than 2x

Four more can be written as + 4

We get 2x + 4

6 0
2 years ago
Could someone please help answer this, thank you, will give brainliest, plz no spam (home work help) thanks!
kolezko [41]
A < -12

1/3a < -4
a < -12


Mark brainliest please
5 0
3 years ago
Read 2 more answers
Please Help,
musickatia [10]
X=6 Z=8 so X:Z =. 6/8 So 2 goes into both 6 and 8 so divide numerator and denominator by 2 which = 3/4
4 0
3 years ago
Read 2 more answers
Please help me this is very important
Virty [35]

Answer:

a. 24.5 $

b. 10.5 $

c. 7/10

Step-by-step explanation:

Given the original price of the sweater is: $ 35.

a) If you pay only $ \frac{7}{10} $ of the price, then the actual amount paid is: $ \frac{7}{10} \times 35 = \frac{49}{2} $ = 24.5 $.

b) Total amount Saved = Actual price - Price you paid

$ \implies $ Total Amount Saved = $ 35 - \frac{49}{2} $

$ = \frac{21}{2} $ = 10.5 $.

c) Fraction of the original price saved = Total amount Spent/Actual Price

$ \implies $ Total amount Saved = $ \frac{49}{2(35)} $

$ = \frac{49}{70} $ = $ \frac{7}{10} $

3 0
3 years ago
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