3 years ago

What is the solution to the equation -(5-(a+1))=9-(5-(2a-3))?

Mathematics

1 answer:

Wewaii [24]3 years ago

5 0

I know the answer. It B!

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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.

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

Answer Check

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.

Answer

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

8 0

2 years ago

the product of three consecutive whole numbers is 990.what is the sum of the three consecutive whole numbers

konstantin123 [22]

The numbers are 9,10,11 . the sum being 20 :) hope this helped have a great day

4 0

3 years ago

Prudie needs $90 or more to be able to take her family out to dinner. She has already saved $30 and wants to take her family out

Aleks [24]

90≤4x+30

Yes she will have enough. 4 multiplied by 18 is 72. 72+30=102.

Hope this helped.

7 0

2 years ago

LOTS OF POINTS!!!! look at pic

Varvara68 [4.7K]

Answer:

2x+6-(x^2+6x+9)*pi

Step-by-step explanation:

2*(x+3) - (x+3)^2*pi

2x+6-(x^2+6x+9)*pi

um I think there are answer choices so I don't know if I have to keep going but that should be right

3 0

2 years ago

a sea turtles was recorded to swim at a speed of 6 miles in 30 minutes. at this same rate, how far would the turtle travel in 90

Ede4ka [16]

Answer:

The turtle will go 18 miles in 90 minutes.

Step-by-step explanation:

6 divided by 30 = 0.2

0.2 x 90 = 18

18 miles

8 0

2 years ago