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3 years ago

Which graph represents this system? 2x-5v=-5 y=-3x+1

Mathematics

1 answer:

Whitepunk [10]3 years ago

4 0

Answer:

Please check the attached graph.

Step-by-step explanation:

The slope-intercept form of the line equation

$y = mx+b$

where

m is the slope

b is the y-intercept

Given the system of equations

2x - 5y = -5 --- [Equation 1]

y = -3x + 1 --- [Equation 2]

converting the equation 1 in the slope-intercept form

2x - 5y = -5

5y = 2x+5

divide both sides by 5

y = 2/5x + 1

Thus, the y-intercept = 1

Now, please check the attached graph below.

The red line represents the equation 2x - 5y = -5

From the graph, it is clear that the red line has the y-intercept y = 1.

Now, considerng the equation 2

y = -3x + 1

comparing with the slope-intercept form of line equation

The y-intercept b = 1

Hence, the y-intercept of the line y = -3x + 1 is y = 1

The green line represents the equation y = -3x + 1

From the graph, it is clear that the green line has the y-intercept y = 1.

Point of Intersection:

It is clear from the graph:

The red line represents the equation 2x - 5y = -5.

The green line represents the equation y = -3x + 1.

As both lines meet or intersect at the point (0, 1).

Therefore, the point of intersection of both the lines is:

(x, y) = (0, 1)

As we know that the point of intersection of both the lines represents the solution to the system of equations.

Therefore, (0, 1) on the graph represents the solution to the system of equations.

The graph is attached below.

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3 years ago

If f(x)=4x+3 and g(x)=x^2-3 then f(g(2))

grandymaker [24]

Answer:

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Step-by-step explanation:

The Composite Function

Given f(x) and g(x) as real functions, the composite function $(f\circ g)(x)$ is defined as:

$(f\circ g)(x)=f(g(x))$

It can be found by substituting g into f.

The given functions are:

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It's required to find f( g( 2 ) )

Find g(2):

$g(2)=2^2-3$

Operating:

$g(2)=4-3 =1$

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Now find f(1):

$f(1)=4(1)+3$

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2 years ago

State if the triangle is congruent

melisa1 [442]

Answer:

Step-by-step explanation:

m∠ JHI + m∠GHJ = 180 { linear pair}

m∠JHI + 90 = 180

m∠JHI = 180 -90 = 90

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2 years ago

Express the sum of the polymonial 3x^2+15x-56 and the square of the binomial (x-8) as a polynomial in standard form.

tester [92]

Given:

Polynomial is $3x^2+15x-56$ .

To find:

The sum of given polynomial and the square of the binomial (x-8) as a polynomial in standard form.

Solution:

The sum of given polynomial and the square of the binomial (x-8) is

$3x^2+15x-56+(x-8)^2$

$=3x^2+15x-56+x^2-2(x)(8)+8^2$ $[\because (a-b)^2=a^2-2ab+b^2]$

$=3x^2+15x-56+x^2-16x+64$

On combining like terms, we get

$=(3x^2+x^2)+(15x-16x)+(-56+64)$

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Therefore, the sum of given polynomial and the square of the binomial (x-8) as a polynomial in standard form is $4x^2-x+8$ .

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3 years ago

Which graph represents this system? 2x-5v=-5 y=-3x+1​

Which graph represents this system? 2x-5v=-5 y=-3x+1