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Sedbober [7]
2 years ago
9

PKEASE HELP Based on the graph, what is one solution of the equation f(x) = g(x)? graph of function f of x equals negative x plu

s one half and graph of function g of x equals x squared plus 3 multiplied by x minus 4 x = 1 x = −5 x = −4 x = −0.5
Mathematics
1 answer:
Oksanka [162]2 years ago
8 0

Answer:

x=1

x=-5

Step-by-step explanation:

we know that

The solution of the system of equations is the intersection point both graphs

In this problem there are two intersection points

so

The system has two solutions

we have

one solution is the point (-4.9, 5.4) and the other (0.92, -0.42)

see the attached figure

therefore

x=1

x=-5

Step-by-step explanation:

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AveGali [126]

Answer:

487=3x-17

487+17=3x-17+17

3x=53

3x/3=53/3

x=168

Step-by-step explanation:

8 0
3 years ago
Describe the transformations of how the graph y=x^2 can be transformed into y= -1/5 (x-4)^2 + 2
Orlov [11]

Answer:

Reflected over the x-axis, vertically shrunk by a factor of 1/5, moved right 4 units and up 2 units.

Step-by-step explanation:

Parent Graph: f(x) = a(bx - h)² + k

<em>a </em>is vertical stretch (a > 1) or shrink (a < 1) and reflection over x-axis

<em>b</em> is horizontal stretch or shrink and reflection over y-axis

<em>h</em> is horizontal movement left (if positive) or right (if negative)

<em>k</em> is vertical movement up (if positive) or down (if negative)

Now that we have our rules, we simply apply it to y = -1/5(x - 4)² + 2

<em>a</em> = -1/5, so reflection over x-axis and vertical shrink of 1/5 (1/5 < 1)

Nothing has changed <em>b</em>, so no horizontal stretch/shrink

<em>h</em> = -4, so horizontal movement right 4 units

<em>k</em> = 2, so vertical movement up 2 units

8 0
3 years ago
Last year the backgammon club had 30 members. This year the club had 24 members. Find the percent of decrease in the number of m
Gnom [1K]

There is 20% decrease in the number of members.

Step-by-step explanation:

Given,

Members last year = Old value = 30

Members this year = New year = 24

Change = New value - Old value

Change = 24 - 30

Change = -6

The negative sign indicates the decrease.

Decrease percent = \frac{Change}{Old\ value}*100

Decrease percent = \frac{6}{30}*100

Decrease percent = \frac{600}{30}

Decrease percent = 20%

There is 20% decrease in the number of members.

Keywords: percentage, division

Learn more about division at:

  • brainly.com/question/10341324
  • brainly.com/question/10364988

#LearnwithBrainly

8 0
2 years ago
Please help with algebra question.
Radda [10]
We have that

y< 6x-3

using a graph tool
see the attached figure

the answer in the attached figure

8 0
3 years ago
Find the area of a circle with a radius of 0.4 inches
AleksandrR [38]

Answer:

0.16 π

Step-by-step explanation:

Using the area formula pi*r^2 we can find the area of the circle, plugging in the numbers gets us pi*(0.4)^2 = 0.16 π

3 0
2 years ago
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