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3 years ago

Solve.

Mathematics

1 answer:

Pavlova-9 [17]3 years ago

7 0

Answer:

(2, -3)

Step-by-step explanation:

Apparently, the equations are supposed to be ...

4x +y = 5
3x +y = 3

The solution for x can be found by subtracting the second equation from the first:

(4x +y) -(3x +y) = (5) -(3)

x = 2 . . . . . . . matches the second answer choice

Y can be found from either equation:

y = 5 - 4x . . . . . subtract 4x from the first equation

y = 5 -4(2) = -3

The solution is (x, y) = (2, -3).

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Find the value of x

Paladinen [302]

$\qquad \qquad \bf \huge\star \: \: \large{ \underline{Answer} } \huge \: \: \star$

x = 12°

$\textsf{ \underline{\underline{Steps to solve the problem} }:}$

$\qquad❖ \: \sf \:2x + 6 + 5x + 90 = 180$

[ by linear pair ]

$\qquad❖ \: \sf \:7x + 6 = 180 - 90$

$\qquad❖ \: \sf \:7x + 6 = 90$

$\qquad❖ \: \sf \:7x = 90 - 6$

$\qquad❖ \: \sf \:7x = 84$

$\qquad❖ \: \sf \:x = 84 \div 7$

$\qquad❖ \: \sf \:x = 12$

$\qquad \large \sf {Conclusion} :$

$\qquad❖ \: \sf \:x = 12 \degree$

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2 years ago

Are lines GH and G'H' perpendicular? Why or why not? Yes, they intersect at one point. Yes, their slopes are negative reciprocal

Solnce55 [7]

Answer:

Step-by-step explanation:

B yes their slopes are negative reciprocals

3 0

3 years ago

Choose the notation below that describes the translation."

Yuliya22 [10]

Answer: (x, y) to (x - 3, y - 4)

Step-by-step explanation: i guessed

6 0

3 years ago

Read 2 more answers

state domain and range, intercepts, relative max and relative mins points and values, intervals of increase and decrease, interv

Anarel [89]

The domain of the graph is -∝ < x < ∝ and the range of the graph is -∝ < y < ∝. Also, the graph has no axis of symmetry

<h3>The domain and range of the graph</h3>

From the graph, we can see that the x values extend indefinitely

So, the domain of the graph is -∝ < x < ∝

From the graph, we can see that the y values extend indefinitely

So, the range of the graph is -∝ < y < ∝

<h3>The intercepts</h3>

This is where the graph crosses the axes

So, we have the intercepts to be

x-intercept = -4, -2 and 2
y-intercept = -9

<h3>Relative max and relative mins points and values, </h3>

The graph has a relative maximum at (3, 3) and the relative minimum are (0.5, 10)

<h3>Intervals of increase and decrease, </h3>

There are the intervals where the function increases and decreases

So, we have the intervals to be

Increasing interval: (0.5, ∝) and (-∝, -3)
Decreasing interval: (-3, 0.5)

<h3>Intervals of positive and negative,</h3>

There are the intervals where the function is positive and negative

So, we have the intervals to be

Positive interval: (-4, -2) and (2, ∝)
Negative interval: (-∝, -4) and (-2, 2)

<h3>The symmetry</h3>

This is the line that divides the graph equal part

In this case, the graph has no axis of symmetry

<h3>The end behavior</h3>

Using the intervals where the function is positive and negative, the end behavior is

As x ⇒ ∝, f(x) ⇒ +∝
As x ⇒ -∝, f(x) ⇒ -∝

Read more about functions at:

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3 0

1 year ago

9. Water is added to two containers for 16 minutes. The equations below model the ounces of

Vladimir [108]

The two containers hold 328 ounces at the they hold same amount of water.

<u>Step-by-step explanation:</u>

The equations below model the ounces of water, y, in each container after x minutes.

$y = 16x + 104$

$y = -2x^{2} +40x+160$

At the time after the start when the containers hold the same amount of water, the two equations must be equal.

⇒ $16 x + 104 = -2x^{2} + 40 x + 160$

The first step is to divide everything by 2 to make it simplified.

⇒ $8 x + 52 = - x^2 +20 x + 80$

Now put everything on the left .

$x^2 + 8 x - 20 x + 52 - 80 = 0$

Add the like terms together to further reduce the equation

$x^2 - 12 x - 28 = 0$

Factorizing the equation to find the roots of the equation.

Here, b = -12 and c = -28

where,

b is the sum of the roots ⇒ -14 + 2 = -12
c is the product of the roots ⇒ -14 × 2 = -28

Therefore, (x-14) (x+2) = 0
The solution is x = -2 or x = 14

Take x = 14 and substitute in any of the given two equations,

⇒ $y = 16(14) + 104$

⇒ $y =224+104$

⇒ 328 ounces

∴ The two containers hold 328 ounces at the they hold same amount of water.

5 0

3 years ago