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2 years ago

Use substitution method & show your work.y = x^2 + 3x - 14x + 1 = y

1 answer:

7 0

4x + 1 = x^2 + 3x - 1
4x = x^2 + 3x - 2
0 = x^2 -x - 2
0 = x^2 -x + 1 - 3
0 = (x - 1)^2 - 3
3 = (x - 1)^2
sqrt 3=(x-1) and (-(x-1))
x = 1+sqrt 3 and 1-sqrt 3
sqrt means square root

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Which of the following describes graphing y ≥ |x| + 4?

kolbaska11 [484]

Answer:

Translate $y=\left|x\right|$ up $4$ units and shade inside the V

Step-by-step explanation:

we know that

The function $y=\left|x\right|$ has the vertex at point $(0,0)$

The function $y=\left|x\right|+4$ has the vertex at point $(0,4)$

the rule of the translation is

$(x,y)------> (x,y+4)$

That means

The translation is $4$ units up

The solution of the inequality $y\geq\left|x\right|+4$

is the shaded area inside the V

see the attached figure to better understand the problem

therefore

the answer is

Translate $y=\left|x\right|$ up $4$ units and shade inside the V

5 0

2 years ago

Read 2 more answers

How can caregivers give children self confidence safely?

Ann [662]

Telling them that no mater what they should love them for who they are love your self no matter what

8 0

2 years ago

Write the equation of the circle in standard form: Center (7,0) R=1

Mice21 [21]

Answer:

$(x-7)^2+y^2=1$

Step-by-step explanation:

Hi there!

Equation of a circle: $(x-h)^2+(y-k)^2=r^2$ where the circle is centered at (h,k) and the radius is r

1) Plug in the given center (7,0)

$(x-7)^2+(y-0)^2=r^2\\(x-7)^2+y^2=r^2$

2) Plug in the radius (1)

$(x-7)^2+y^2=1^2\\(x-7)^2+y^2=1$

I hope this helps!

8 0

2 years ago

FI=6 IH=12 calculate the length of GI

Dovator [93]

$\\ \sf\longmapsto GI^2=FI(IH)$

$\\ \sf\longmapsto GI^2=6(12)$

$\\ \sf\longmapsto GI^2=72$

$\\ \sf\longmapsto GI=\sqrt{72}$

$\\ \sf\longmapsto GI=8.22$

6 0

2 years ago

What is the percent decrease from 72 to 45

Marizza181 [45]

Answer:

37.5%

Step-by-step explanation:

72-45=27

27/72=x/100

2700/72=x

x=37.5

37.5%

5 0

2 years ago