5x-2y=11 and 3x+4y=4
Find the value of x and y in equation.​

Answer:

vertex: (1, –8)

Step-by-step explanation:

[tex]a=3 \\b=-6\\c=-5[/tex]

rewrite equation in vertex form: [tex]y=a(x-h)^2+k[/tex]

1. factor out 3

[tex]y=3x^{2} -6x-5\\y=3(x^{2}-2x)-5\\[/tex]  

2. complete the square using [tex](\frac{b}{2} )^{2}[/tex]:

[tex](\frac{-2}{2})^2=1[/tex]

3. add the answer from step 2 to inside the parenthesis to create a factorable trinomial. subtract the answer from step 2 from –5 and multiply it by a. remember: a = 3

[tex]y=3(x^{2} -2x+1)-5-1(3)\\y=3(x-1)(x-1)-8\\y=3(x-1)^2-8[/tex]

4. find vertex

[tex]x-1=0\\x=1[/tex]       [tex]y=-8[/tex]

vertex = [tex](1,-8)[/tex]

Answer:

Okay the answer is £1.56

Step-by-step explanation:

 £15.00

-£13.42

 £01.58

Brainliest if you liked the answer.

Angle 1=87°

Angle 2=88°

angle 1+2= 177

Step-by-step explanation:

I believe thsi should be right,

So angle 1 and 87° are the same because of some rule, then the angle above 2 would be 92 because of the same rule and its a straight line so 180-92=88 making angle 2, 88. When you add those it would be 177. Try that

Answer:

find two percent of 23358=467.18

minus the two percent from her salary 23358

23358-467.18=22890.84

please mark branliest

the correct answer is b. 8

Answer:

x=4

Step-by-step explanation:

By Pythagorean theorem and differential calculus, the child must let out the string when the kite is 150 feet away at a rate of change of 25.725 feet per second.

The geometric representation of this question is based on the Pythagorean theorem:

l² = x² + y²     (1)

Where:

The rate of change of the length of the string is obtained by differential calculus:

[tex]2 \cdot l \cdot \dot l = 2\cdot x \cdot \dot x[/tex]

[tex]\dot l = \frac{x\cdot \dot x}{l}[/tex]

[tex]\dot l = \frac{x\cdot \dot x}{\sqrt{x^{2}+y^{2}}}[/tex]    (2)

If we know that x = 150 ft, y = 90 ft and [tex]\dot x = 30\,\frac{ft}{s}[/tex], then the rate of change of the length of the string is:

[tex]\dot l = \frac{(150\,ft) \cdot \left(30 \,\frac{ft}{s} \right)}{\sqrt{(150\,ft)^{2}+(90\,ft)^{2}}}[/tex]

[tex]\dot l \approx 25.725\,\frac{ft}{s}[/tex]

By Pythagorean theorem and differential calculus, the child must let out the string when the kite is 150 feet away at a rate of change of 25.725 feet per second.

To learn more on rates of change: https://brainly.com/question/13103052

#SPJ1

Answer:

9/11

Step-by-step explanation:

pick two points.

(x,y)

(5,4) and (-6,-5)

do rise/run (y2-y1/x2-x1)

4-(-5)/5-(-6)

subtracting a negative gives you a positive, so

4+5/5+6

9/11

Answer:

True

Step-by-step explanation:

(-1,4) = (x,y)

This means if "x = -1, then y should be 4"

y = 3x + 7

y = 3(-1) + 7

y = -3 + 7

y = 4

It is saying if x is -1, y is 4. This statement of "Is (-1,4) a solution to the graph of "y = 3x + 7?" Is true. You can also graph this and find the point (-1,4) and it would be on the line.

:D Hope it Helps (I dunno why I put it on this answer box now)

Answer:

Yes.

Step-by-step explanation:

Note that the point:

(x , y) = (-1 , 4)

x = -1

y = 4

Plug in the corresponding numbers for the corresponding variables in the given equation:

y = 3x + 7

(4) = 3(-1) + 7

Remember to follow PEMDAS. PEMDAS is the order of operation, and stands for:

Parenthesis, Exponent (& Roots), Multiplication, Division, Addition, Subtraction.

First, multiply 3 with -1:

4 = (3 * -1) + 7

4 = -3 + 7

Next, simplify by adding -3 with 7:

4 = (-3 + 7)

4 = 4

Yes. (-1 , 4) is a solution for y = 3x + 7, as the two sides of the equation equal.

~

Answer:

250.5 - 35 m = 300 - 35.25 m

Step-by-step explanation:

n ⇒ number of months it will take for both accounts to have the same amount of money

∴ the equation should be: 250.5 - 35 m = 300 - 45.25 m

⇒ 250.5 - 300 = -45.25m + 35m

⇒ -49.5 = -10 · 25m

m = 4950/1025

Answer:

b

Step-by-step explanation:

the correct equation is b

Answer:

The value of Mary's investment after two years = £12362.7

Step-by-step explanation:

P = Principal / initial amount

R = rate of interest per cent per year

T = number of years

A = final amount at the end of T years

Then:

A = P*(1 + R/100)^2

In our example:

P = £12000

R = 1.5 per cent per year

T = 2 years

Thus:

A = 12000*(1 + 1.5/100)^2

  = 12000*(1 + 0.015)^2

  = 12000*(1.015)^2

   = 12000*(1.030225)

   = 12362.7

Value of investment after two years = £12362.7

The equation of the cell phone plan is y = 70 + 4x and the number of gigabyte is 1.10

The given parameters are:

Flat = $70 per month

Rate = $4 per gigabyte

Let the number of gigabyte be x, and the total cost be y.

So, we have:

y = Flat + Rate * x

So, we have:

y = 70 + 4x

When the bill is $74.40, we have:

74.40 = 70 + 4x

Subtract 70 from both sides

4x = 4.40

Divide both sides by 4

x = 1.10

Hence, the equation is y = 70 + 4x and the number of gigabyte is 1.10

Read more about linear equations at:

https://brainly.com/question/14323743

#SPJ4

Answer:

Point Form: [tex](-\frac{39}{25} , \frac{29}{25} )[/tex]

Equation Form: [tex]x=-\frac{39}{25} , y=\frac{29}{25}[/tex]

Step-by-step explanation:

Using its matrix, you are going to solve with

Write both equations in standard form. ...

Make the coefficients of one variable opposites. ...

Add the equations resulting from Step 2 to eliminate one variable.

Solve for the remaining variable.

Substitute the solution from Step 4 into one of the original equations.

Answer:

f(0) = 1

f(x) = f(x-1) - 3

Step-by-step explanation:

probably use the style of your teacher

Answer:

the can reach up to 4.6 m

Answer with Step-by-step explanation:

10% of 840 can be found by multiplying 840 by 0.10 (or dividing 840 by 10)

10% of 840 = 84

To make a profit of 84 he needs to sell at 840 + 84 = 924 rs

5% of 840 can be found by multiplying 840 by 0.05 (or dividing 840 by 20)

5% of 840 = 42

To make a loss of 42 he needs to sell at 840 - 42 = 798 rs

Answer: 23, 5, 3

Step-by-step explanation:

Problem a)

5 + 2 x 3^2

5 + 2 x 9

5 + 18

23

Problem b)

7 + 8 / 5 - 2

15 / 3

5

Problem c)

18- 3 x 2/ 5 - 1^2

18 - 6/ 5 - 1

12/4

3

Answer:

I don't think you should doubt the ability to do well you should have confidence in your self .

Step-by-step explanation:

=> 7/(5√3-5√2) × (5√3+5√2)/(5√3+5√2)

=> 7(5√3+5√2)/75-50

=> (35√3+35√2)/25.

after rationalising the denominator is 25.

hope this helps you.

[tex]\displaystyle \frac{7a}{9bc} \div\frac{21a}{12b} =\frac{\backslash\!\!\!\!7a}{9 \backslash \!\!\!b \ c} \cdot \frac{4\backslash\!\!\!b}{\backslash\!\!\!\!7a} =\boxed{\frac{4}{9c} }[/tex]

Answer:24-3 = 21 divided by .75 = 28 so the answer is 28 miles

Step-by-step explanation:

Answer:

The correct answer is C [tex]3\frac{8}{33}[/tex]

Solution by separating the parts:

[tex]3\frac{8}{33}[/tex] = 3 + [tex]\frac{8}{33}[/tex]

We know that [tex]\frac{8}{33}[/tex] is 8 ÷ 33.

Therefore: [tex]3\frac{8}{33}=[/tex] 3 + (8 ÷ 33)

You then would have to use "Long Division" for 8 divided by 33

= 3 + 0.242 = 3.242424242424...

Hence giving you 3.24 repeated which is C

P.S. the quiz either looks like a PVS exam form, or a virtual school exam/quiz, I'm able to work and help with any other further questions.

Answer:

toyota innova 2.8 G A/T 2021 4x1

Answer:

It will cost $65.

Step-by-step explanation:

A dozen is 12. To find how much it will cost, we can divide the bouquet by 12.

39 ÷ 12 = 3 r3

with the remainder, we can

12 ÷ 3 = 4

3 is 1/4 of 12.

So we can multiply the price of bouquet by 1/2 to find the remainder's price. The whole equation would look like this:

(3x20) + (1/4 x 12)

60 + (1/4 x 20)

60 + 5

65

The answer is 65.

Answer:

[tex](g/f)(x) = \frac{g(x)}{f(x)} = \frac{ {x}^{2} - 5 }{4x + 1} [/tex]

I hope I helped you^_^

Answer:

4(3 −1)−5=75

Step-by-step explanation:

Answer:

irrational number

Step-by-step explanation:

An irrational number cannot be written as a ratio of two integers

Answer:

h(5.5) = 2550

Step-by-step explanation:

when something is put inside of the parenthesis in a function like h(x) or f(x), it goes where the x is so the equation would look like this

900 + 300(5.5), 900 + 1650 = 2550

Answer:

p= 4.59

Step-by-step explanation:

Hope this helped :)