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Nina [5.8K]
3 years ago
13

For the function f(x) = -(x + 1)2 + 4, identify the vertex, domain, and range.

Mathematics
1 answer:
Studentka2010 [4]3 years ago
3 0

f ( x ) = - ( x + 1)^2 + 4

_____________________

Vertex = ( - 1 , 4 )

♡♡♡♡♡♡♡♡♡♡♡♡

Domain = R

♡♡♡♡♡♡♡♡♡♡♡♡

Range = ( - infinite , 4 ]

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(10x - 4)=20<br> Question: What value of x makes the equation true
liraira [26]

Answer:

x = 10.4

Step-by-step explanation:

1. Multiply each side by 5 to remove it as a fraction

2. it cancels out on the left leaving 10x - 4 = 100

3. Add 4 to each side canceling it out on the left and leaving 10x = 104

4. Divide each side by 10 to get x by itself

5. 10x/100 = 104/10

6. x = 10.4

4 0
3 years ago
What is the value of y
kari74 [83]

Answer:

y= -6

Step-by-step explanation:

-2y - 5y= -7y

-7y=42

42/-7=

y= -6

5 0
2 years ago
Last week Alice spent $18.25 to bowl 5 games. This week she spent $21.90 to bowl 6 games. Alice owns her bowling balls and shoes
kykrilka [37]

Answer:

Answer

5.0/5

23

Let's find the unit rate stemming from $18 for 4 games:

$18

-------------  =  $4.50/game

4 games

Let's do the same for $27 for 6 games:

$27

------- = $4.50/game (same as before)

 6 g

Thus, the const. of prop. is $4.50/game, and the cost function is

C(x) = ($4.50/game)x, where x is the # of games played.

4 0
3 years ago
14. Find mMK please :)
MrRissso [65]

Answer:

Step-by-step explanation:

11) strategy:  since they tell us. indirectly,  that the length of  JK is the same as LM then we can set those two equal, solve for X  and then.. when we have X we can figure out the lenght of JK  and LM and then just divide that by 2 go get PK  ( :0 Player Killer ???  no , not that PK)    

solve JK and LM

3x + 23 =9x-19

42 = 6x

7 = x

now that we know x = 7 plug it into either equation to come up with the length of JK or LM .  I'll pick JK just b/c it was 1st

3(7) + 23 = JK

21+23 = JK

44 = JK

now take half of 1/2*JK= 22  that is PK    ( are you sure that 's not player killer?)

PK = 22

12) strategy: set the two arcs BG and GC equal and solve for X, then plug x into either equation and the multiply the answer by 2 to find arc AB

9x-20 = 5x + 28

4x = 48

X = 12

9(12) -20 = BG

88 = BG

2*88 + AB

176 = AB

13) done

14)  strategy: find the angle at L,  and that will also be the arc of MK

<em>copy and past the below</em> helpful trig functions into your computer

Use SOH CAH TOA to recall how the trig functions fit on a triangle

SOH: Sin(Ф)= Opp / Hyp

CAH: Cos(Ф)= Adj / Hyp

TOA: Tan(Ф) = Opp / Adj

<em>copy and past the above</em> :

use which ever trig function you want , we have all the sides of the triangle, I'll use CAH

Cos(Ф) = 9/15

Ф = arcCos(9/15)

Ф = 53.13010°

arc MK = 53.13010°

15)   strategy:  arc JK is just 2 times MK

2*MK = 106.26020°

arc MK = 106.26020°

16) find arc JPK   strategy:  JPK is just the remaining part of a full circle of 360 - MK  = 253.7397°

arc JPK = 253.7397°

7 0
2 years ago
ASAP!!!!!!!!!!!!!!!!!! Consider the point A=(1,3) and the line B, given by the equation y=2x-2 write an equation in slope-interc
vagabundo [1.1K]

Answer:

y = 2x+1 (slope-intercept form)

Step-by-step explanation:

From line B, y = 2x -2 and comparing with the general equation of line, y = mx +c, we have

m1 = 2

Parallelism rule states that m1=m2

Therefore, m2 = 2

Hence, the equation passing through point A(1,3) is

y-y1 = m2(x-X1)

y - 3 = 2(x-1)

y-3 = 2x-2

y = 2x-2+3

y = 2x+1 (slope-intercept form)

8 0
3 years ago
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