All categories

3 years ago

How many solutions does the system of equations below have?

Mathematics

1 answer:

lina2011 [118]3 years ago

8 0

The answer is infinitely many solutions.
If you graph them both are a straight line which means they are infinite

You might be interested in

Solve for y. 3x-4y=6 Explain please!

Snezhnost [94]

So 3x=6+4y
divide both of the equations by 3
x=2+4y÷3
x=2+4/3 y
your answer
x=2+4/3 y hope this will help

5 0

3 years ago

Given logbM=3.2 logbN=-1.5 and logbP=2.4 find the value of logb(m^2N/p)

artcher [175]

The formulas:
$\log_a (xy)=\log_a x + \log_a y \\
\log_a (\frac{x}{y})=\log_a x - \log_a y \\
\log_a (x^n)n \log_a x$

Expand the expression:
$\log_b (\frac{m^2n}{p})=\log_b m^2 + \log_b n - \log_b p= 2 \log_b m+\log_b n - \log_b p$

Plug the values into the expression:
$\log_b m=3.2 \\ \log_b n=-1.5 \\ \log_b p=2.4 \\ \\
2 \log_b m+\log_b n - \log_b p=2 \times 3.2-1.5-2.4=6.4-3.9=2.5 \\ \\
\boxed{\log_b (\frac{m^2n}{p})=2.5}$

3 0

2 years ago

Write an equation of the line that passes through the given point and is parallel to the given line.

9966 [12]

Answer : Equation of line is y=Equation of line is y= $\frac{2}{3}$ x+ $\frac{-5}{3}$

Step-by-step explanation:

Theory :

Equation of line is given as y = mx + c.

Where, m is slope and c is y intercepted.

Slope of given line : y = $\frac{2}{3}$ x+1 is m= $\frac{2}{3}$

We know that line : y = $\frac{2}{3}$ x+1 is parallel to equation of target line.

therefore, slope of target line will be $\frac{2}{3}$ .

we write equation of target line as y= $\frac{2}{3}$ x+c

Now, It is given that target line passes through point ( -5,-2)

hence, point ( -5,-2) satisfy the target line's equation.

we get,

y= $\frac{2}{3}$ x+c

-2= $\frac{2}{3}$ $\times$ -5+ c

-5= $\frac{-10}{3}$ +c

c= $\frac{-5}{3}$

thus, Equation of line is y=Equation of line is y= $\frac{2}{3}$ x+ $\frac{-5}{3}$

7 0

3 years ago

Tan(x)=2

nydimaria [60]

Tan(x)=2
Or for x=45 tan(x)=1
then for tan(x)=2 ; x must be superior to 45
Then the answer is d. 63.4 degrees

8 0

3 years ago

PLEASE HELP!!! WILL MARK BRAINLIEST!!! CAN you help there is a website it has the answers appealy but I cannot seem to find them

miv72 [106K]

Answer:

The difference is While pay grades are administrative classifications used primarily to standardize compensation across the military services, ranks indicate a level of responsibility (for personnel, equipment, and mission) which grows with each increase in rank.

Step-by-step explanation:

There similar because Pay grades E-1 through E-3 generally indicate basic training, advanced training or entry-level work. For the Army and Marines, E-1 corresponds to the rank of private

I hoped this helped!

3 0

2 years ago