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3 years ago

Let the function f be defined by f(x) = 12 -5x

1 answer:

6 0

4. It is not true
5. This is because if you substitute f(0) the equation would be f(x) = 12-0 or f(x) = 12
Hope this helps, if it does can I get brainliest ?

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Drag each set of column entries to the correct location in the matrix equation. Not all sets of entries will be used. A biker ne

ANEK [815]

Answer:

The matrix equation is $\left[\begin{array}{ccc}1&1&1\\1&-1/2&0\\0&2&-1\end{array}\right]=\left[\begin{array}{c}120&35&20\end{array}\right]$

Step-by-step explanation:

* Lets change the story problem to equations

- The distance between the starting point and checkpoint 1 is x

- The distance between checkpoint 1 to checkpoint 2 is y

- The distance between checkpoint and the finish line is z

- The total distance for the race is 120 miles

∴ x + y + z = 120 ⇒ (1)

-The distance from the starting point to checkpoint 1 is 35 miles

more than half the distance from checkpoint 1 to checkpoint 2

∵ The distance from the starting point to checkpoint 1 is x

∵ The distance from checkpoint 1 to checkpoint 2 is y

- x is more than half y by 35

∴ x = 35 + (1/2) y ⇒ subtract (1/2) y from both sides

∴ x - (1/2) y = 35 ⇒ (2)

- The distance from checkpoint 2 to the finish line is 20 miles less

than twice the distance from checkpoint 1 to checkpoint 2

∵ The distance from checkpoint 2 to the finish line is z

∵ the distance from checkpoint 1 to checkpoint 2 is y

- z is less than twice y by 20

∴ z = 2y - 20 ⇒ add 20 to both sides

∴ z + 20 = 2y ⇒ subtract z from both sides

∴ 2y - z = 20 ⇒ (3)

* Now lets write the three equations

# x + y + z = 120 ⇒ (1)

# x - (1/2) y = 35 ⇒ (2)

# 2y - z = 20 ⇒ (3)

- Now lets write the matrix equation that models this situation

∴ $\left[\begin{array}{ccc}1&1&1\\1&-1/2&0\\0&2&-1\end{array}\right]=\left[\begin{array}{c}120&35&20\end{array}\right]$

6 0

3 years ago

Read 2 more answers

Urgent helps bxjdidjdjjfjdhhdhdh

MatroZZZ [7]

Answer:

l=40

Step-by-step explanation:

The area is calculated as

A = wl

1200=30l

1200/30=l

40=l

5 0

3 years ago

Jessica rides the bus 8 and 4/5 miles each day what is the total number of miles she rides in 21 days?

Masja [62]

Answer:

= 184/5

Step-by-step explanation:

converting mixed numbers to fractions, our initial equation becomes,

44/5 × 2/11

Applying the fractions formula for multiplication you get,

= 924/5

Simplifying 924/5, the answer is

=184 4/5

5 0

3 years ago

The sum of 2 fractions is 5/6. Their difference is 1/2. Their least common denominator is 6. The denominator of one is twice the

valentinak56 [21]

Answer:

Step-by-step explanation:

Alright, lets get started.

Suppose the first fraction is : $\frac{a}{b}$

Suppose the second fraction is : $\frac{c}{d}$

The sum of both fraction is given as : $\frac{5}{6}$

$\frac{a}{b}+\frac{c}{d}=\frac{5}{6}$ .......................equation (1)

The difference of both fraction is given as : $\frac{1}{2}$

$\frac{a}{b}-\frac{c}{d}=\frac{1}{2}$ .........................equation (2)

Adding equation (1) and equation (2)

$\frac{c}{d} \ will \ be \ cancelled$

$\frac{2a}{b}=\frac{5}{6}+\frac{1}{2}$

making common denominator

$\frac{2a}{b}=\frac{5}{6}+ \frac{3}{6}$

$\frac{2a}{b}=\frac{8}{6}$

Hence,

$\frac{a}{b}=\frac{2}{3}$

Plugging the value of $\frac{a}{b}$ in equation (1)

$\frac{2}{3}+\frac{c}{d}=\frac{5}{6}$

Subtracting $\frac{2}{3}$ in both sides

$\frac{c}{d}=\frac{5}{6}-\frac{2}{3}$

$\frac{c}{d}=\frac{1}{6}$

Hence both fractions are $\frac{2}{3} \ and \ \frac{1}{6}$ ...................Answer

Hope it will help :)

7 0

3 years ago

Christine has $875.83 In her savings account the account pays 9% compounded monthly. Christine does not make any deposits or wit

Karolina [17]

Answer: the account earns interest of $40.16

Step-by-step explanation:

We would apply the formula for determining compound interest which is expressed as

A = P(1+r/n)^nt

Where

A = total amount in the account at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount deposited

From the information given,

P = 875.83

r = 9% = 9/100 = 0.09

n = 12 because it was compounded 12 times in a year.

t = 6 months = 6/12 = 0.5 year

Therefore,.

A = 875.83(1+0.09/12)^0.5 × 12

A = 875.83(1+0.0075)^6

A = 875.83(1.0075)^6

A = 915.99

The interest that she earns is

915.99 - 875.83 = $40.16

7 0

3 years ago