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2 years ago

A system of equations is shown below:

1 answer:

6 0

X+y=3

Subtract x from both sides

y=-x+3

Substitute

2x--x+3=6
2x+x+3=6
3x+3=6

Subtract 3 from both sides

3x=3

Divide both sides by 3

x=1

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<img src="https://tex.z-dn.net/?f=4x%20%7B%7D%5E%7B2%7D%20%20%2B%2020x%20%2B%2025" id="TexFormula1" title="4x {}^{2} + 20x + 25

BigorU [14]

$\sf{\qquad\qquad\huge\underline{{\sf Answer}}}$

Let's Solve ~

$\qquad \sf \dashrightarrow \: 4 {x}^{2} + 20x + 25$

$\qquad \sf \dashrightarrow \: 4 {x}^{2} + 10x + 10x + 25$

$\qquad \sf \dashrightarrow \: 2x(2x + 5) + 5(2x + 5)$

$\qquad \sf \dashrightarrow \: (2x + 5) (2x + 5)$

$\qquad \sf \dashrightarrow \: (2x + 5) {}^{2}$

$\sf{\qquad \sf \dashrightarrow \: 4x² + 20x + 25 }$

$\sf{\qquad \sf \dashrightarrow \: (2x)² + (2 \sdot 2x \sdot 5) + (5)²}$

[ it's similar to expression - a² + 2ab + b² that is equal to (a + b)² ]

so, let's use this identity here to factorise :

$\sf{\qquad \sf \dashrightarrow \: (2x + 5)²}$

I hope it was helpful ~

3 0

1 year ago

There were 48 blue, 48 green and 48 yellow crayons. Also there were 72 red crayons and 120 colored pictures. What is the largest

Elis [28]

48 sets i believe since there are only 48 maximum of blue, green and yellow crayons therefore the 49th set would only contain a red crayons and a picture

3 0

2 years ago

Read 2 more answers

Describe the graph of y=3/4x-12 as compared to the graph of y=1/x

Eddi Din [679]

Answer:

Parent function is compressed by a factor of 3/4 and shifted to right by 3 units.

Step-by-step explanation:

We are asked to describe the transformation of function $y=\frac{3}{4x-12}$ as compared to the graph of $y=\frac{1}{x}$ .

We can write our transformed function as:

$y=\frac{3}{4(x-3)}$

$y=\frac{3}{4}*\frac{1}{(x-3)}$

Now let us compare our transformed function with parent function.

Let us see rules of transformation.

$f(x-a)\rightarrow\text{Graph shifted to the right by a units}$ ,

$f(x+a)\rightarrow\text{Graph shifted to the left by a units}$ ,

Scaling of a function: $a*f(x)$

If a>1 , so function is stretched vertically.

If 0<a<1 , so function is compressed vertically.

As our parent function is multiplied by a scale factor of 3/4 and 3/4 is less than 1, so our parent function is compressed vertically by a factor of 3/4.

As 3 is being subtracted from x, so our parent function is shifted to right by 3 units or a horizontal shift to right by 3 units.

Therefore, our parent graph is compressed by a factor of 3/4 and shifted to right by 3 units to get our new graph.

5 0

3 years ago

Miss Christina deposits her monthly salary $9000 in a bank which pays 7% interest compounded half yearly.How much will she get a

SIZIF [17.4K]

THe closest answer i got was 18122

5 0

2 years ago

Name the pair of opposite rays with endpoint N.

Elza [17]

Answer:

<h2>Possible Answers: NA and NX or NM and NC.</h2>

Step-by-step explanation:

PLS MARK ME BRAINLEIEST AND FLW ME

3 0

2 years ago