NEED HELP PLSSSSS

PLS HELP! GIVING BRAINLIST!

svlad2 [7]

Answer:

We conclude that (4, 2) is NOT a solution to the system of equations.

Step-by-step explanation:

Given the system of equations

$y = x - 2$

$y = 3x + 4$

Important Tip:

In order to determine whether (4, 2) is a solution to the system of equations or not, we need to solve the system of equations.

Let us solve the system of equations using the elimination method.

$\begin{bmatrix}y=x-2\\ y=3x+4\end{bmatrix}$

Arrange equation variables for elimination

$\begin{bmatrix}y-x=-2\\ y-3x=4\end{bmatrix}$

Subtract the equations

$y-3x=4$

$-$

$\underline{y-x=-2}$

$-2x=6$

Now, solve -2x = 6 for x

$-2x=6$

Divide both sides by -2

$\frac{-2x}{-2}=\frac{6}{-2}$

Simplify

$x=-3$

For y - x = -2 plug in x = -3

$y-\left(-3\right)=-2$

$y+3=-2$

Subtract 3 from both sides

$y+3-3=-2-3$

Simplify

$y=-5$

The solution to the system of equations is:

(x, y) = (-3, -5)

Checking the graph

From the graph, it is also clear that (4, 2) is NOT a solution to the system of equations because (-3, -5) is the only solution as we have found earlier.

Therefore, we conclude that (4, 2) is NOT a solution to the system of equations.

8 0

3 years ago

Mr. yates has an $80.00 budget to purchase a $72.00 pair of sunglasses. If there is a 6% sales tax rate, then how much under bud

Alekssandra [29.7K]

Answer:

$3.68 underbudget

Step-by-step explanation:

$72*6%\\72*0.06=4.32\\Tax=4.32\\72+4.32=76.32 \ Total\\80-76.32=3.68$

Hope this helped!

6 0

2 years ago

If f(x) = 4x + 3(x – 7), what is f(2x)? Simplify your answer.

Hitman42 [59]

Answer: -7 is the answer

Step-by-step explanation:

4(2)+3(2-7)

2-7 is -5

-5 times 3 is -15

4 times 2 is 8

-15+8=-7

4 0

3 years ago

On a class trip to the museum,5/8 of the students saw the dinosaurs and 7/8 of the students saw either the jewelry collection or

inessss [21]

$\frac{2}{8}$ of students only saw jewelry collection

Solution:

Given that, On a class trip to the museum,5/8 of the students saw the dinosaurs

7/8 of the students saw either the jewelry collection or the dinosaurs

To find: Fraction of students only saw jewelry collection

From given statement,

Fraction of students saw dinosaur = $\frac{5}{8}$

Fraction of students saw either the jewelry collection or the dinosaurs = $\frac{7}{8}$

Therefore,

Fraction of students only saw jewelry collection = Fraction of students saw either the jewelry collection or the dinosaurs - Fraction of students saw dinosaur

$\rightarrow \frac{7}{8} - \frac{5}{8} = \frac{7-5}{8} = \frac{2}{8}$

Thus $\frac{2}{8}$ of students only saw jewelry collection

8 0

3 years ago

[I have no idea how to do this]

jekas [21]

Answer:

We have 16 ounces of 3% H2O2

How many ounces of 30% H2O2 do we add to make a 10% H2O2 solution?

let x = amount of ounces of 30% H2O2 to add

.03 * 16 + .30x = .10 * (16 + x)

.48 + .30x = 1.6 + .1x

.2x = 1.12

x = 5.6 ounces

Source:

https://www.1728.org/mixture.htm

Step-by-step explanation:

8 0

3 years ago

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