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2 years ago

Solve and simplify: x(x - 1) = 121 – x

Mathematics

2 answers:

vaieri [72.5K]2 years ago

4 0

Answer:

$\boxed{\bold{x \ = \ 11 \ or \ x \ = \ -11}}$

Explanation:

$\bold{x(x \ - \ 1) \ = \ 121 \ - \ x}$

Simplify both sides of the equation

x² − x = −x + 121

Add x to both sides

x² − x + x = −x + 121 + x

x² = 121

Take square root

x = ± √121

x = 11 or x = −11

GuDViN [60]2 years ago

3 0

Answer:

$x=11$

Step-by-step explanation:

$x(x-1)=121-x\\\\x^2-x=121-x\\\\x^2=121\\\\x=\sqrt{121}\\\\x=11$

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When a certain basketball player takes his first shot in a game he succeeds with probability 1/2. If he misses his first shot, h

Gnom [1K]

Answer:

we are given

basketball player Chauncey Billups of the Detroit Pistons makes free throw shots 88% of the time

so, probability of making shot is

=88%

so, p=0.88

To find the probability of missing first shot and making the second shot

so, we can use formula

probability = p(1-p)

now, we can plug values

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So, the probability that he misses his first shot and makes the second is 0.1056........Answer

Step-by-step explanation:

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2 years ago

In Speed Study Number 1, we looked at two cars traveling the same distance at different speeds on city streets. Car "A" traveled

MAVERICK [17]

Answer:

b-about 5 minutes

Step-by-step explanation:

For an object in uniform circular motion (=moving at constant velocity), the time taken to cover a certain distance is given by:

$t=\frac{d}{v}$

where

d is the distance covered

v is the speed of the object

In this problem we have:

d = 10 miles is the distance covered by both cars

Car A travels at a speed of

$v_A=35 mi/h$

So the time it takes is

$t=\frac{10}{35}=0.286 h \cdot 60 \frac{min}{h}= 17.2 min$

Car B travels at a speed of

$v_B=45 mi/h$

So the time it takes is

$t'=\frac{d}{v_B}=\frac{10}{45}=0.222 h \cdot 60 \frac{min}{h}=13.3 min$

So the difference in time is

$\Delta t = t-t'=17.2 min - 13.3 min \sim 4 min$

So, the closest answer is

b-about 5 minutes

8 0

1 year ago

A home’s value increases at an average rate of 5.5% each year. The current value is $120,000. What function can be used to find

Wewaii [24]

Answer:

$y=120,000(1.055)^x$

Step-by-step explanation:

we know that

The equation of a exponential growth function is given by

$y=a(1+r)^x$

where

y is the value of the home

x is the number of years

a is the initial value

r is the rate of change

we have

$a=\$120,000\\r=5.5\%=5.5/100=0.055$

substitute

$y=120,000(1+0.055)^x$

$y=120,000(1.055)^x$

7 0

2 years ago

The graph shows the distance Kendrick walks in different lengths of time.

Vlad1618 [11]

Answer:

1) 5

2) 0.2

Step-by-step explanation:

The complete question is attached below.

The x-axis represents the time in hours and y-axis represents the distance in kilometers.

The first question asks how many kilometers, does Kendrick walk per hour. The straight line represents the distance traveled at various amounts of time.

The point marked on the graph is against time = 1 hour and Distance = 5 km. So this shows:

Kendrick walks 5 kilometers in 1 hour.

In next part, we have to find how much time Kendrick takes to walk 1 kilometer.

Since, we know that:

Kendrick walks 5 kilometers in time = 1 hour

Dividing both sides by 5, we can write:

Kendrick walks 1 kilometer in time = 1/5 hour = 0.2 hour

So, Kendrick takes 0.2 hours to walk 1 kilometer.

7 0

2 years ago

Read 2 more answers

Distinguish between rote and rational counting

sergejj [24]

Answer: There is a difference between rote counting and rational counting. Rote counting involves the memorization of numbers. Rational counting tells children "how many there are." For children to count rationally, they need to demonstrate one-to-one correspondence.

6 0

1 year ago

Solve and simplify: x(x - 1) = 121 – x​

Solve and simplify: x(x - 1) = 121 – x