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3 years ago

Use the functions f(x)=4x+10 and g(x)=2x-4. Find the value of g(5)

Mathematics

1 answer:

a_sh-v [17]3 years ago

8 0

Answer:

Step-by-step explanation:

g(5) represents x=5

you would substitue 5 for x in g(x)=2x-4

g(5)=2(5)-4

g=6

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The graph of a quadratic function f has zeros of -8 and 4 and a maximum at (-2,18). What is the value of a in the function’s equ

Harrizon [31]

<h3>Answer: C) -1/2</h3>

==================================

Work Shown:

We will use the general vertex form y = a(x-h)^2+k

(h,k) is the vertex, and the 'a' value stretches or compresses the graph vertically

(h,k) = (-2,18) since the highest point is at (-2,18)

Use either root -8 or 4 to plug into the equation as well. I'll use -8

The root -8 means the point (-8,0) is an x intercept.

----------------

Plug the values mentioned into the equation below. Then solve for 'a'.

y = a(x-h)^2+k

y = a(x-(-2))^2+18 ... plug in (h,k) = (-2,18)

y = a(x+2)^2+18

0 = a(-8+2)^2+18 ... plug in (x,y) = (-8,0)

0 = a(-6)^2+18

0 = a*36+18

0 = 36a+18

36a+18 = 0

36a = -18 ... subtract 18 from both sides

a = -18/36 .... divide both sides by 36

a = (-1*18)/(2*18)

---------------

Alternatively, you could use (x,y) = (4,0), instead of (x,y) = (-8,0), and you'll get the same 'a' value as well.

7 0

3 years ago

Read 2 more answers

The table shows the results of an experiment in which a spinner was spun 50 times. Find the experimental probability of each out

VLD [36.1K]

Answer:

Option "A" is the correct answer to the following question.

Step-by-step explanation:

Given:

Total number of experiment = 50

Find:

Probability to get less then 4:

Computation:

⇒ Total number can be get less then 4 = 4+2+3

⇒ Total number can be get less then 4 = 9

⇒ Probability of an outcome = Total number of outcomes / Total number of experiment

⇒ Probability to get less then 4 = Total number can be get less then 4 / Total number of experiment

⇒ Probability to get less then 4 = 9 / 50

4 0

3 years ago

Please please help if u don’t know please don’t answer not trying to be mean I know u are trying

Gemiola [76]

x= 3

awutydyt7asd67awt67

3 0

3 years ago

Michael and Landon work at a dry cleaners ironing shirts. Michael can iron 40 shirts per hour, and Landon can iron 20 shirts per

BartSMP [9]

Answer:

Michael worked 4 hours and Landon worked 10 hours.

Step-by-step explanation:

Michael can iron 40 shirts each hour, so in xx hours he can iron 40x40x shirts. Landon can iron 20 shirts each hour, so in yy hours he can iron 20y20y shirts. The total number of shirts ironed 40x+20y equals 360:

40x+20y=360

Since Michael and Landon worked a combined 14 hours, we know x+yx+y must equal 14.

x+y=14

Write System of Equations:

40x+20y= 360

x+y=14

Solve for y in each equation:

40x+20y = 360 x+y = 14 20y = -40x+360

$\frac{-20y}{20}$ = $\frac{-40x+360}{20}$

y = -2x+18

7 0

3 years ago

Help ASAP!!!! Thanks

Tema [17]

Answer:

No DB is not a perpendicular bisector of AC

Step-by-step explanation:

This is because as AC is a straight line it's angle degree is 180 which when bisected by DB becomes,

180 ÷ 2 = 90

On both the angles i.e <BDC = <NDA = 90°

To make it a perpendicular bisector but

<BDC is not equal to <NDA is not equal to 90°.

Hence, DB is not a perpendicular bisector of line AC.

8 0

2 years ago