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3 years ago

Determine whether the equation represent y as a function of x. 2x+3y=4

Mathematics

1 answer:

Gnesinka [82]3 years ago

4 0

You just need to see if you can isolate the y-variable.

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A theatre has 50 seats on the front row. There are 4 additional seats in each following row.

alexandr402 [8]

$\boxed { \boxed { T_n = a_1 + d(n - 1)}}$

$\text {Given that }a_1 = 50 \text { and } d = 4$

$T_n = 50 + 4(n - 1)$

$T_n = 50 + 4n - 4$

$T_n = 46 + 4n$

$\boxed { \boxed {T_n = 46 + 4n }}$

When n = 20,
$T_{20} = 46 + 4(20) = 126$

$\boxed { \boxed {\text{Answer: The 20th term is 126}}}$

4 0

3 years ago

If a 4 x 16 rectangle has the same area as a square, what is the length of a side of the square?

Licemer1 [7]

Answer:

Option D. 8 units

Step-by-step explanation:

step 1

Find the area of rectangle

The area of rectangle is

$A=(4)(16)=64\ units^2$

step 2

Find the length side of the square with the same area of rectangle

The area of a square is

$A=b^2$

where

b is the length side of the square

we have

$A=64\ units^2$

substitute

$64=b^2$

take the square root both sides

$b=8\ units$

therefore

The length side of the square is 8 units

7 0

3 years ago

It would take Delia 3 hours longer to re tile their bathroom by herself than it would for kari to retile on her own. If they wor

max2010maxim [7]

Answer:

6hours

Step-by-step explanation:

From the given information:

Suppose it took Karl x hours to retile her bathroom,

Then it will take Della 3 hours longer i.e (3+x) hours

If Della and Karl work together or will take them 2 hours

The objective is to determine how long it will take Delia to retile the bathroom alone?

∴

$\dfrac{1}{x}+\dfrac{1}{3+x}= \dfrac{1}{2}$

$\dfrac{x+3+x}{x(3+x)}= \dfrac{1}{2}$

$\dfrac{2x+3}{3x+x^2}= \dfrac{1}{2}$

By cross multiplying, we have:

2(2x+3) = 3x+x²

4x + 6 = 3x + x²

3x + x² - 4x - 6

x² - x - 6 = 0

Using quadratic equation

x² -3x +2x - 6 = 0

x(x - 3) + 2(x - 3) = 0

(x +2) (x - 3) = 0

x + 2 = 0 or x - 3 = 0

x = -2 or x = 3

Since we are concerned about the positive integer,

Then, Karl = x = 3 hours while Della which is (3+x) = 3+3 = 6hours

6 0

2 years ago

A company that makes hair-care products had 3,000 people try a new shampoo. Of the 3,000 people, 18 had a mild allergic reacti

MrMuchimi

Answer:

60%

Step-by-step explanation:

There was a total of 3000 people and of those 3000 people only 18 had a mild allergic reaction.

18/3000 × 100 = 60%

5 0

3 years ago

Read 2 more answers

How do i find y in y=mx+c if m=8 and (5,3)

Ganezh [65]

Answer:

y = 8x-37

Step-by-step explanation:

y=mx+c

We know the slope m

y=8x+c

We know a point on the line (5,3). Substitute this in for x and y

3 = 8(5) +c

3 = 40+c

3-40 = 40+c-40

-37 =c

y = 8x-37

8 0

2 years ago