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2 years ago

Let D = {10,13,15}, E = {10,12,13,14} and F = {9,11,12,13,15}.

Mathematics

1 answer:

Wewaii [24]2 years ago

3 0

Answer:

Given,

D = {10,13,15}

E = {10,12,13,14}

so, D ∪ E= {10, 12, 13, 14, 15}

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Which function is the inverse f(x)=-5x-4

Kay [80]

Answer:

f⁻¹(x) = -(x+4) / 5

Step-by-step explanation:

Given function is :

f(x) = -5x-4

We have to find the inverse of given function.

Step 1. Put y = f(x) in given function

y = -5x-4

Step 2. Add 4 to both sides of above equation

y+4= -5x-4+4

y+4 = -5x

Step 3.Divide by -5 to both sides of above equation

y+4 / (-5) = -5x / (-5)

-(y+4) / 5 = x

Step 4 . Swap sides

x = -(y+4) / 5

Step 5. Put x = f⁻¹(y) in above equation

f⁻¹(y) = -(y+4) / 5

Step 6. replace y with x

f⁻¹(x) = -(x+4) / 5 which is the inverse of f(x) = -5x-4.

8 0

3 years ago

Read 2 more answers

The University of Texas at Austin has three times as many students enrolledas the University of Miami. The University of Califor

harina [27]

Answer:

University of Texas has 46,500 students, University of California has 34,000 students and University of Miami has 15,500 students.

Step-by-step explanation:

Represent Texas with T, Miami with M and California with C. With the given information, the following equations were obtained.

T = 3 × M

T – 3M = 0 ………………………….(i)

C = 3,000 + 2 × M

C – 2M = 3,000…………………..(ii)

T + C + M = 96,000…………….(iii)

By rearranging, we have:

1T + 0C – 3M = 0 ………………………….(i)

0T + 1C – 2M = 3,000…………………..(ii)

1T + 1C + 1M = 96,000………….…….(iii)

The Augmented Matrix is:

$\left[\begin{array}{ccc}1&0&-3\\0&1&-2\\1&1&1\end{array}\right]$ $\left[\begin{array}{ccc}T\\C\\M\end{array}\right]$ = $\left[\begin{array}{ccc}0\\3,000\\96,000\end{array}\right]$

Making $\left[\begin{array}{ccc}T\\C\\M\end{array}\right]$ the subject of the formula we have:

$\left[\begin{array}{ccc}T\\C\\M\end{array}\right]$ = $\frac{\left[\begin{array}{ccc}0\\3,000\\96,000\end{array}\right]}{\left[\begin{array}{ccc}1&0&-3\\0&1&-2\\1&1&1\end{array}\right]}$

Let’s say matrix A = $\left[\begin{array}{ccc}1&0&-3\\0&1&-2\\1&1&1\end{array}\right]$ , the inverse of matrix A = $\left[\begin{array}{ccc}\frac{1}{2} &-\frac{1}{2} &\frac{1}{2} \\-\frac{1}{3} &\frac{2}{3} &\frac{1}{3} \\-\frac{1}{6} &-\frac{1}{6} &\frac{1}{6} \end{array}\right]$ is determined by the formula $\frac{Adjoint(A)}{determinant(A)}$ . This can also be computed directly on a scientific calculator.

$\left[\begin{array}{ccc}T\\C\\M\end{array}\right]$ = $\left[\begin{array}{ccc}\frac{1}{2} &-\frac{1}{2} &\frac{1}{2} \\-\frac{1}{3} &\frac{2}{3} &\frac{1}{3} \\-\frac{1}{6} &-\frac{1}{6} &\frac{1}{6} \end{array}\right]$ $\left[\begin{array}{ccc}0\\3,000\\96,000\end{array}\right]$

= $\left[\begin{array}{ccc}46,500\\34,000\\15,500\end{array}\right]$

T = 46,500

C = 34,000

M = 15,500

6 0

4 years ago

Read 2 more answers

PLEASE HELP ME FIGURE THIS OUT

Vladimir [108]

Answer:

1. x = 8

2. w = -13

3. y = 108 (i am not sure for this one).

4. z = -159

Step-by-step explanation:

HOPE THIS HELPS

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3 years ago

A football team had 70 players show up for tryouts last year and this year had 100 players show up for tryouts. Find the percent

Natasha_Volkova [10]

Answer:

70-100 Football Players = a 21% increase.

Step-by-step explanation:

70 divided by 100=0.7

0.7 times 30 = 21

21=21%

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3 years ago

Can anyone tell me what the answer to this problem is 3 1/3 - 1 2/9

olya-2409 [2.1K]

To solve the problem, we can first change the denominator into the same:

3 1/3 - 1 2/9
= 3 (1×3)/(3×3) - 1 2/9
= 3 3/9 - 1 2/9

We can then proceed to carry deduction:

3 3/9 - 1 2/9
= 2 1/9

Therefore the answer is 2 1/9.

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3 years ago

Read 2 more answers

Let D​ = {​10,13​,15​}, E​ = {10​,12​,13​,14​} and F = ​{9​,11​,12​,13​,15​}.

Let D = {10,13,15}, E = {10,12,13,14} and F = {9,11,12,13,15}.