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2 years ago

By solving the equation a = 2 - 9a, the value of a will be:-

Mathematics

2 answers:

e-lub [12.9K]2 years ago

5 0

Answer: C) 1/5

Step-by-Step Explanation:

a = 2 - 9a
a + 9a = 2
10a = 2
a = 2/10
=> a = 1/5

Therefore, a = 1/5

Aleks [24]2 years ago

4 0

C- 1/5

Step-by-step explanation:

a = 2 - 9a

10a = 2

a = 2/10

a = 1/5

Hope u got it (◠‿・)—☆

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Describe the behavior of the graph at the x-intercepts for the function f(x)=(2x-7)^7(x+3)^4. Identify each x-intercept and just

Shkiper50 [21]

Answer:

f(x)=(2x-7)^7(x+3)^4

When y=0, (2x-7)^7=0 and x=3.5 OR

(x+3)^4=0, and x=-3

Look at x=h or f(2)

That is 96-56-44+2 and it is not equal to 0. (x-2) is not a factor.

x^3-5x^2+6x-30

after trying 1,2, and 3, I tried 5

5/1===-5===6===-30

==1===0====6====30

(x^2-6) with no remainder

the factors are (x-5)(x^2+6)

the zeroes are 5, +/- i sqrt (6). Only one real 0.

hope this helps let me know in the comments if i'm wrong

7 0

3 years ago

Read 2 more answers

The point P(1,1/2) lies on the curve y=x/(1+x). (a) If Q is the point (x,x/(1+x)), find the slope of the secant line PQ correct

lukranit [14]

Answer:

See explanation

Step-by-step explanation:

You are given the equation of the curve

$y=\dfrac{x}{1+x}$

Point $P\left(1,\dfrac{1}{2}\right)$ lies on the curve.

Point $Q\left(x,\dfrac{x}{1+x}\right)$ is an arbitrary point on the curve.

The slope of the secant line PQ is

$\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{\frac{x}{1+x}-\frac{1}{2}}{x-1}=\dfrac{\frac{2x-(1+x)}{2(x+1)}}{x-1}=\dfrac{\frac{2x-1-x}{2(x+1)}}{x-1}=\\ \\=\dfrac{\frac{x-1}{2(x+1)}}{x-1}=\dfrac{x-1}{2(x+1)}\cdot \dfrac{1}{x-1}=\dfrac{1}{2(x+1)}\ [\text{When}\ x\neq 1]$

1. If x=0.5, then the slope is

$\dfrac{1}{2(0.5+1)}=\dfrac{1}{3}\approx 0.3333$

2. If x=0.9, then the slope is

$\dfrac{1}{2(0.9+1)}=\dfrac{1}{3.8}\approx 0.2632$

3. If x=0.99, then the slope is

$\dfrac{1}{2(0.99+1)}=\dfrac{1}{3.98}\approx 0.2513$

4. If x=0.999, then the slope is

$\dfrac{1}{2(0.999+1)}=\dfrac{1}{3.998}\approx 0.2501$

5. If x=1.5, then the slope is

$\dfrac{1}{2(1.5+1)}=\dfrac{1}{5}\approx 0.2$

6. If x=1.1, then the slope is

$\dfrac{1}{2(1.1+1)}=\dfrac{1}{4.2}\approx 0.2381$

7. If x=1.01, then the slope is

$\dfrac{1}{2(1.01+1)}=\dfrac{1}{4.02}\approx 0.2488$

8. If x=1.001, then the slope is

$\dfrac{1}{2(1.001+1)}=\dfrac{1}{4.002}\approx 0.2499$

7 0

3 years ago

An investment earn 6% simple interest. What amount of principal is need to have $3000 after 5 years

irakobra [83]

Answer:

The amount of $1000 principal is needed to have $3000 after 5 years.

Step-by-step explanation:

As the interest formula is

$I=Prt$

Where

P is the principle

r is the rate in decimal

t is the time in years

Substituting the following values in the interest formula and solve for P

I=$3000

r = 6% = 6/100 = $0.06$

t = 5

so the equation becomes

$I=Prt$

$3000=P\left(0.06\right)\left(5\right)$

switch both sides

$P\left(0.06\right)\left(5\right)=3000$

$P\left(0.3\right)=3000$

$P=10000$ $

Therefore, the amount of $1000 principal is needed to have $3000 after 5 years.

6 0

3 years ago

Monthly budget for her cell phone bill when she spent 120% of her budget and the bill was 60.00 what’s her monthly budget

IRISSAK [1]

Solution: $50

Step by step: you can set up the equation that 120%x=60, but for it to be easier you can just change 120% to 1.2 (one whole and 2 tenths or 120) to get the equation 1.2x=60, then to find x just do the algebra
1.2x=60
x=60/1.2
x=50

4 0

3 years ago

Select all the expressions that all have the following quotient 2m+3

Leno4ka [110]

Answer:

1, 2 and 4

Step-by-step explanation:

1.32m2/16m +48m/16m =2m +3

2.4m2/2m +6m/2m =2m+3

4.10m2 /5m +15m/5m= 2m+3

6 0

3 years ago