All categories

3 years ago

This using the substitution method

Mathematics

1 answer:

Kruka [31]3 years ago

7 0

4(3/2y+2)+3y=26
6y+8+3y=26
add the y's together
9y+8=26
subtract 8 on both sides
9y=18
divide by 9 on both sides
y=2
(then substitute 2 for y)
4x+3(2)=26
4x+6=26
subtract 6 on both sides
4x=20
divide by 4 on both sides
x=5

You might be interested in

Find an expression equivalent to 1-sinx ^2/1-cosx ^2

madam [21]

Answer:

cot²x

Step-by-step explanation:

Using the identity

sin²x + cos²x = 1, then

1 - sin²x = cos²x

1 - cos²x = sin²x

Thus

$\frac{1-sin^2x}{1-cos^2x}$ = $\frac{cos^2x}{sin^2x}$ = cot²x

8 0

3 years ago

On a graph which line is horizontal and vertical? y or x

Dvinal [7]

Answer:

The Y is the vertical line and X is the horizontal line on the graph. So if you have point so (5,4). Five would be on the X-axis and 4 on Y-axis.

Step-by-step explanation:

4 0

3 years ago

Find all solutions of the equation in the interval [0, 2pi).

mina [271]

Answer:

x = 0 , π

Step-by-step explanation:

$-4 \sin x = 1 - cos^2 x$

Rewrite it by using the identity $\sin^2x + \cos^2x = 1$

$=> -4\sin x = \sin^2x$

Add 4sin x to both the sides.

$=> -4\sin x + 4\sin x = sin^2x + 4\sin x$

$=> \sin^2x + 4\sin x = 0$

Take sin x common from the expression in L.H.S.

$=> \sin x(\sin x + 4)=0$

Here , we can get two more equations to find x.

1) $\sin x(\sin x + 4)=0$

Divide both the sides by sin x

$=> \frac{\sin x(\sin x + 4)}{\sin x} = \frac{0}{\sin x}$

$=> \sin x + 4 = 0$

Substract 4 from both the sides.

$=> \sin x + 4 - 4 = 0 - 4$

$=> \sin x = -4$

$=> x = No \; Solution$

2) $\sin x(\sin x + 4)=0$

Divide both the sides by (sin x + 4)

$=> \frac{\sin x(\sin x + 4)}{\sin x + 4} = \frac{0}{\sin x + 4}$

$=> \sin x = 0$

$=> x = 0 \; , \pi$ over interval [0 , 2π).

5 0

3 years ago

The graph of a function f(x) is shown below:<br><br><br><br>What is the domain of f(x)?

Advocard [28]

The domain is {the smallest x value with a point, the largest x value with a point} on the graph

6 0

3 years ago

A speed limit of 100 kilometers per hour (kph) is approximately equal to 62 miles per hour (mph). Write an equation relating kil

Kitty [74]

1.) 75 x .62 = 46.5 I multiplied by .62 because the kph to mph ratio is 1:.62
2.) 20 x 1.6 = 32 I multiplied by 1.6 because that's how many km are in a mile.

3 0

3 years ago

Read 2 more answers