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3 years ago

Rewrite the expression in factored form. x2 – 10x + 9

Mathematics

2 answers:

vladimir2022 [97]3 years ago

8 0

Answer:

(x-1)(x-9)

Step-by-step explanation:

x^2-10x+9

= (x^2-x)+(-9x+9)

= x(x-1)-9(x-1)

= (x-1)(x-9)

Natalka [10]3 years ago

7 0

Rewrite the expression in factored form.

x2 – 10x + 9

= (x-1)(x-9)

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Can someone solve this

Gemiola [76]

Answer:

f(h(-1)) = -1

Step-by-step explanation:

f(x) = (x-4)/3

h(x) = 3x + 4

f(h(-1)) = ?

So first off we need to solve for h(-1):

h(x) = 3x + 4

h(-1) = 3(-1) + 4

h(-1) = 1

Next, we plug this value into the f(x) equation:

f(x) = (x-4)/3

f(1) = (1-4)/3

f(1) = -1

f(h(-1)) may look confusing but it is just f(x) with x being the resulting value for h(-1)

Thus we can say that f(h(-1)) is equal to -1

8 0

2 years ago

A company provides a monthly pension to its employees. A person retiring at 62 retires and receives a full monthly pension. If t

IRISSAK [1]

Answer:

The reduction is 8.6%

Explanation:

Call F the full monthly pension of a person retiring at 62.

If a person continues to work the pension grows at a rate of 6% per year, compounded monthly, so use the compounded growing formula:

$Pension=F(1+r/12)^{12t}$

Where r = 6 / 100 = 0.06, and t = number of years after retirement.

For retirement at 65.5:

t = 65.5 - 62 = 3.5

$Pension=F(1+0.06/12)^{12\times 3.5}=1.233F$

For retirement at 67:

t = 67 - 62 = 5

$Pension=F(1+0.06/12)^{12\times 5}=1.349F$

Percent reduction of people who retire at 65.5 compared to what they would receive at 67:

$(1.349F-1.233F)\times 100/(1.349F)=8.6\%$

8 0

3 years ago

On his drive from Montpelier, Vermont, to Columbia, South Carolina, Arthur averaged 51 mph. If he had been able to average 60 mp

Llana [10]

Answer:

Distance between Montpelier and Columbia is 1020

Step-by-step explanation:

51 mi/hr average:

d = 51 t

60 mi/hr average:

d t = 60*(t-3)

Substitute (1) into (2)

51 t = 60*(t-3)

51 t = 60 t + 180

9 t = 180

t = 20

d = 51 t

= 51 (20)

= 1020

let see distance is 1020 lets check

51 t = 60 * (t-3)

51 (20)= 60* (20-3)

1020 = 60*17

1020 = 1020

4 0

3 years ago

the volume v of a tank varies directly with its height h a tank 12 ft High holds 300 cubic feet write an equation relating v &am

Liula [17]

v varies directly with height means

v/h=k were k is a constant

or also h/v=k where k is a constant (this is a different k than previous)

so if h=12 and v=300 then

h/v=12/300=1/25=k

so the relationhip could be h/v=1/25

if you di v/h, then

v/h=300/12=25/1=25=k

so the relationship could be v/h=25

3 0

2 years ago

In February, Alec had 1,586 visitors to his website. In March, he had 1,352 visitors to his website. What is the percentage decr

Deffense [45]

Answer:

The percentage decrease of the number of visitors to Alec's website from February to March is 14.8 %

Step-by-step explanation:

Explanation:

Percent decrease is a measure of percent change, which is the extent to which something loses value.

Step 1:

Find out the difference (decrease) between the number of visitors in march and February

Decrease =number of visitors in Fe bury- Number of vsitors in march

Decrease= 1,586- 1,352

Decrease =234

Step 2:

Divide the decrease by the original number of visitors and multiply the answer by 100.

Percent decrease= $\frac{Decrease }{ Original Number }\times100$

Percent decrease= $\frac{236}{1586}\times100$

Percent decrease= $0.148\times100$

Percent decrease =14.88

8 0

2 years ago