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vekshin1
3 years ago
15

What is the solution for this system of equations? y= -1/4x + 6y= x+1​

Mathematics
1 answer:
snow_lady [41]3 years ago
3 0

9514 1404 393

Answer:

  (x, y) = (4, 5)

Step-by-step explanation:

Equating the expressions for y gives ...

  -1/4x +6 = x +1

  5 = 5/4x . . . . . . . add 1/4x-1

  4 = x . . . . . . . . . . multiply by 4/5

  y = x +1 = 4 +1

  y = 5

The solution is (x, y) = (4, 5).

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Luden [163]

Answer:

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Step-by-step explanation:

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6 0
3 years ago
Given f(x)=x2+12x+26. Enter the quadratic function in vertex form in the box. f(x)=
makvit [3.9K]

Answer:

vertex(-6,-3)

Step-by-step explanation:

x^2+12+36-36+26

(x+6)^2-10

v=(-6,-10)

4 0
3 years ago
five and three-tenths times a number plus two and seven-tenths is less than three and three-tenths times a number plus one and s
love history [14]

The number according to the given statement is x<-0.55.

Given the statement is five and three-tenths times a number plus two and seven-tenths is less than three and three-tenths times a number plus one and six-tenths​.

A mathematical statement is a meaningful component of words that can be true or false. Simply, they are known as a statement.

Let us assume the given number be x.

According to the given statement,

Five and three-tenths of a number means 5.3x.

And two and seven-tenths means 2.7.

So, five and three-tenths times a number plus two and seven-tenths means 5.3x+2.7.                ......(1)

It is also given that three and three-tenths times a number means is 3.3x.      

And one and six-tenths means 1.6.

So, three and three-tenths times a number plus one and six-tenths​ means 3.3x+1.6         .......(2)

Now, we will substitute equation (1) less than equation (2) according to the given statement is

5.3x+2.7<3.3x+1.6

Further, we will subtract 2.7 from both sides, we get

5.3x+2.7-2.7<3.3x+1.6-2.7

5.3x<3.3x-1.1

Now, we will subtract 3.3x from both sides, we get

5.3x-3.3x<3.3x-1.1-3.3x

2x<-1.1

Now, we will divide both sides by 2, we get

2x/2<-1.1/2

x<-0.55

Hence, the number for the given statement "five and three-tenths times a number plus two and seven-tenths is less than three and three-tenths times a number plus one and six-tenths​" is -0.55.

Learn more about the algebraic statement from here brainly.com/question/2689808

#SPJ9

5 0
1 year ago
Factor out a negative 1 from each expression. - 4 - (5 + 3)​
ddd [48]

Answer:

-12

Step-by-step explanation:

-4-(5+3)

-4-(8)

-4-8

-12

6 0
3 years ago
Set X: {51,49,37,28,33,39,49,42} <br><br> Set Y :{23,2934,36,39,22,25,33}
SpyIntel [72]

Answer:

X

Step-by-step explanation:

126

8 0
3 years ago
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