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2 years ago

What are the domain and range of the function (x)=3/4x+5?

Mathematics

1 answer:

solmaris [256]2 years ago

7 0

Answer: Option (1)

Step-by-step explanation:

The domain and range of all linear functions is the set of real numbers.

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Find the equation of the line shown.

Luda [366]

Answer:

y = -x + 9

Step-by-step explanation:

✔️Find the slope using (9, 0) and (7, 2):

$slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{2 - 0}{7 - 9} = \frac{2}{-2} = -1$

Slope (m) = -1

✔️Find the y-intercept (b):

The line intercepts the y-axis when y = 9. Therefore, y-intercept (b) = 9

✔️Substitute m = -1 and b = 9 into y = mx + b

Thus,

y = -1(x) + 9

y = -x + 9

5 0

3 years ago

Factor tree<br>67344 using prime numbers

Aleksandr-060686 [28]

Answer:

$2^4*3*23*61$

Step-by-step explanation:

$\begin{array}{c|c}67344&2\\33672&2\\16836&2\\8418&2\\4209&3\\1403&23\\61&61\\1&\\\end{array}$

8 0

3 years ago

My am never friends have 3/4 and one nickel to spend if Maia and her friends share the money equally how much for each person ge

EleoNora [17]

Answer:

Each person get = 20 cents

Step-by-step explanation:

Given - Maya and three friends have three quarters and one nickel to spend.

To find - If Maya and her friends share the money equally how much will each person get ?

Proof -

We know that

1 nickel = 5 cents

1 quarter = 25 cents

As they spent, 3 quarters and one nickel

So,

Total money spent = 3(25) + 5 = 75 + 5 = 80 cents

⇒Total money spent = 80 cents

Now,

Total people = 4 (Maya and three friends )

Now,

Given that, They share the money equally

So,

Each person get = $\frac{80}{4}$ = 20 cents

5 0

3 years ago

Please help properties of exponents

defon

Answer:

Step-by-step explanation:

3. $c^{11}$ add exponents

4. $m^{60}$ multiply exponents

5. $x^{6} y^{18}$ distribute and multiply exponents

6. $-21 a^{47} *b$ multiply and then add exponents

7. $100 a^{14} b^{4} c^{12}$ distribute and multiply exponents

8. $n^{22}$ multiply and then add exponents

3 0

3 years ago

What is the solution to the system? 1. x-y + 2 z = -7<br> 2. y + z =1<br> 3. x-2 y - 3 z = 0

kvv77 [185]

You'd find this problem easier to understand and do if you'd please list the defining equations vertically and line up variables:

1. x - 1y + 2 z = -7

2. y + 1z = 1

3. x - 2 y - 3 z = 0 Now eliminate the line numbers:

x - 1y + 2 z = -7

1y + 1 z = 1

x - 2 y - 3 z = 0

Let's use the elimination method to eliminate variable z: Seeing that z = 1 - y, we transform the first equation into 1x - 1y + 2(1-y) = -7

and the third into x - 2y - 3(1-y) = 0.

Simplifying 1x - 1y + 2(1-y) = -7

and x - 2y - 3(1-y) = 0,

we get

1x - 2y - 3 + 3y) = 0 and 1x - 1y + 2 - 2y = -7

which in turn simplify to

1x + y = 3 and 1x - 3y = -9

Having eliminated the variable z, we now focus on eliminating x. Mult. the 1st equation by -1, obtaining -1x - 1y = -3. Add this result to 1x - 3y = -9:

0 - 4y = -12, which tells us that y = 3. Subbing 3 for y in 1x + 1y = 3 tells us that x = 0.

All we have left to determine is the vaue of z.

Borrowing Equation 3, from above, we get x - 2 y - 3 z = 0, and into this equation we substitute x = 0 and y = 3: 0 -2(3) - 3z = 0.

Thus, -3z = 6, and z = -2.

The solution set is (0, 3, -2). You should check this by substitution.

3 0

3 years ago