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3 years ago

Solve the system of equations. (1 point)

Mathematics

2 answers:

Helen [10]3 years ago

5 0

Answer:

The answer is (4,1). Substitute the x and y values into the system and you should have the answer.

butalik [34]3 years ago

3 0

Answer:

option one

Step-by-step explanation:

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Factor: 2x + 2y Show work please

bearhunter [10]

Answer:

2(x + y)

Step-by-step explanation:

You can pull out a 2 from the expression.

So divide 2x by 2 and 2y by 2.

2x/2 = x

2y/2 = y

2(x + y)

7 0

3 years ago

Write down 1 16 as (a) a decimal, [1] (b) a percentage.

Ede4ka [16]

Answer:

(a) 1.0625

(b) 6.25% percentage

Step-by-step explanation:

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3 years ago

joanna split three pitchers of water equally among her eight plants.what fraction of a pitcher did each plant get?

Vedmedyk [2.9K]

3/8 of a fraction is the amount of water that was split

6 0

3 years ago

Help with those three please!!

Scilla [17]

Answer:

Part 1) Option A. The axis of symmetry is x=4

Part 2) Option C. minimum

Part 3) Option A. (4,-4)

Part 4) Option B. (2,0) and (6,0)

Step-by-step explanation:

we have

$f(x)=x^{2}-8x+12$

Part 1) What is the axis of symmetry of the parabola described by the equation above?

we know that

The equation above is a vertical parabola open upward

The axis of symmetry is the x-coordinate of the vertex

Find the vertex of the parabola (convert the equation in vertex form)

$f(x)-12=x^{2}-8x$

$f(x)-12+16=x^{2}-8x+16$

$f(x)+4=x^{2}-8x+16$

$f(x)+4=(x-4)^{2}$

$f(x)=(x-4)^{2}-4$ ----> equation in vertex form

The vertex of the parabola is (4,-4)

The axis of symmetry is x=4

Part 2) The vertex of the equation above is also

we know that

The equation above is a vertical parabola open upward

therefore

The vertex is a minimum

Part 3) What is the vertex of the parabola described by the equation above

we know that

The equation of the parabola into vertex form is equal to

$f(x)=(x-4)^{2}-4$

therefore

The vertex of the parabola is (4,-4)

Part 4) What are the x-intercepts of the parabola described by the equation above

we know that

The x-intercepts are the values of x when the value of y is equal to zero

$f(x)+4=(x-4)^{2}$

f)x)=0

$4=(x-4)^{2}$

take square root both sides

$(x-4)=(+/-)2$

$x=4(+/-)2$

$x=4(+)2=6$

$x=4(-)2=2$

therefore

The x-intercepts are

(2,0) and (6,0)

7 0

3 years ago

400 m running race, runner 1 is 1m wide, runner 2 is starting in front of runner 1. Determine how far ahead

Lesechka [4]

Answer:

2m ahead

Step-by-step explanation:

1×2=2m

7 0

3 years ago