All categories

2 years ago

What is the solution to this system of equations?

Mathematics

2 answers:

sveta [45]2 years ago

7 0

Answer:

x=5 and y=2

Step-by-step explanation:

$x=y+3\\x=2+3\\x=5$ $x+y=7\\y+3+y=7\\2y+3=7\\2y=7-3\\2y=4\\ \frac{2y}{2}=\frac{4}{2}\\ y=2$

laiz [17]2 years ago

4 0

Answer:

Step-by-step explanation:

Solving by elimination and substitution:

x + y = 7

x − y = − 3

on adding the two equations

y gets cancelled

x + y = 7

x − y = − 3

2 x = 4

x = 4 2 = 2

substituting this value of x

in equation 1:

x +y = 7

2 + y = 7

y = 7 − 2

y = 5

the solution for the system of equations are :

x = 2

y = 5

Hope it helps pls mark as brainliest

You might be interested in

29. The mean value of land and buildings per acre from a sample of farms is $1500, with a standard deviation of $200. The data s

julia-pushkina [17]

Answer: 68.27%

Step-by-step explanation:

Given : Mean value of land and buildings per acre from a sample of farms :

$\mu=\$1500$

$\sigma= \$200$

The data set has a bell-shaped distribution. i.e. it follows Normal distribution.

Using $z=\dfrac{x-\mu}{\sigma}$ , for x= 1300 , we have

$z=\dfrac{1300-1500}{200}=-1$

For x= 1700 , $z=\dfrac{1700-1500}{200}=1$

Using standard normal z-value table,

P-value = P(-1<z<1)= $1-2P(z>|1|)=1-2(0.1586553)=0.6826894\approx0.6827$ [Round to nearest 4 decimal places.]

i.e. The percent of farms whose land and building values per acre are between $1300 and $1700 = 68.27%

3 0

3 years ago

What is the measurement of B in this picture

trapecia [35]

Step-by-step explanation:

angle A = angle B. ( corresponding angles of two parallel lines)

8x-8°=5x+25°

8x-5x= 25°+8°

3x=33°

x=11°

angle B= 5x+25°

= 5(11)°+25°

= 55°+25°

= 80°

5 0

3 years ago

Find the indicated limit, if it exists. (1 point) limit of f of x as x approaches 9 where f of x equals x plus 9 when x is less

Sunny_sXe [5.5K]

Answer:

Step-by-step explanation:

For the limit of a function to exist, then the right hand limit of the function must be equal to its left hand limit as shown;

If the function is f(x), for f(x) to exist then;

$\lim_{n \to a^{+} } f(x) = \lim_{n \to a^{-} } f(x) = \lim_{n \to a } f(x)$

Given the function;

$f(x) = \left \{ {{x+9\ x$

Lets check if the above statement is true.

The right hand limit of the function occurs at x> 9

f(x) = 9-x

$\lim_{x \to 9+} (9-x)\\= 9-9\\= 0$

The left hand limit occurs at x<9

f(x) = x+9

$\lim_{x \to 9^{-} } (x+9)\\= 9+9\\= 18$

From the above calculation, it can be seen that $\lim_{x \to 9^{+} } f(x) \neq \lim_{x \to 9^{-} } f(x)$ , this shows that the function given does not exist at the given point.

6 0

3 years ago

What are the domain and range of the function f(x)= 2x+1

navik [9.2K]

Answer:

Domain: All the real numbers

Range: All the real numbers

Step-by-step explanation:

The domain of a function is the complete set of possible values of the independent variable 'x'. That is to say, all the values that 'x' can take:

In this case, f(x)= 2x+1, the independent variable has no restrictions. Meaning that 'x' can take all the Real Values. In set notation: x∈ℝ.

The range of a function is the complete set of all possible resulting values of the dependent variable 'y'. In this case, given that the independent variable has no restrictions, the dependent variable 'y' can take any value. So, the range is: y ∈ ( −∞, ∞ ) - All the real numbers.

4 0

2 years ago

Please help me, I'm being timed

ki77a [65]

Answer:

1.5x=6

x=4

Step-by-step explanation:

The area is length times width so 1.5 times x is the correct equation. Make x equal to one by dividing both sides by 1.5. x=6/1.5. Simplify this to get x=4.

Please mark as brainliest

4 0

2 years ago