All categories

2 years ago

Please help and thank you

Mathematics

1 answer:

Lorico [155]2 years ago

4 0

Answer:

B. g(x) = (x + 4)²

Step-by-step explanation:

f(x) = x²

And since graph g(x) is f(x) moved 4 points along x-axis and to the right,

g(x) will be equal to (x + 4)²

g(x) = (x + 4)²

You might be interested in

If (72)p = 76, what is the value of p?

Scilla [17]

(72)p = 76
p = 76/72 = 19/18

5 0

3 years ago

Read 2 more answers

A chance experiment consists of spinning the two spinners below.

krek1111 [17]

Answer:

blank 1 is 4

blank 2 is 0.25

7 0

2 years ago

An escalator from the ground floor to the second floor of a department store is 110 ft long and 32 ft vertical. What is the esca

grigory [225]

Answer: 16.91°

Step-by-step explanation:

1. You can draw a right triangle as you can see in the figure attached.

2. Then you can calculate the angle of elevation (α) as following:

$\alpha=arcsin(\frac{opposite}{hypotenuse})$

Where:

$opposite=32\\hypotenuse=110$

3. Now you must substitute these values. Then, the angle of elevation is:

$\alpha=arcsin(\frac{32}{110})$

$\alpha=16.91\°$

4 0

3 years ago

Find an equation of the sphere containing all surface points P = (x, y, z) such that the distance from P to A(−3, 6, 3) is "twic

Marina86 [1]

Answer:

Equation of Sphere = $x^{2}$ + $y^{2}$ + $z^{2}$ - 18x - 4/3y +10z + 142/3 = 0

Step-by-step explanation:

Data Given:

P = (x,y,z)

Distance from P to A (-3,6,3) = Twice the distance from P to B(6,2,-3)

Solution:

Find the equation of the sphere:

It is given that:

PA = 2PB

Squaring both sides:

$(PA)^{2} = (2PB)^{2}$

$(PA)^{2} = 4 (PB)^{2}$

$(x - (-3))^{2}$ + $(y - 6)^{2}$ + $(z-3)^{2}$ = 4 x $(x-6)^{2}$ + $(y-2)^{2}$ + $(z-(-3))^{2}$

Solving the above equation:

$(x + 3))^{2}$ + $(y - 6)^{2}$ + $(z-3)^{2}$ = 4 x { $(x-6)^{2}$ + $(y-2)^{2}$ + $(z + 3))^{2}$ }

$x^{2}$ + 9 + 6x + $y^{2}$ + 36 - 12y + $z^{2}$ + 9 - 6z = 4 { $x^{2}$ + 36 - 12x + $y^{2}$ + 4 - 4y + $z^{2}$ + 9 + 6z}

$x^{2}$ + 9 + 6x + $y^{2}$ + 36 - 12y + $z^{2}$ + 9 - 6z = 4 $x^{2}$ + 144 - 48x +4 $y^{2}$ + 16 - 16y + 4 $z^{2}$ + 36 + 24z

Putting the right hand side = 0 and solving the equation:

$x^{2}$ - 4 $x^{2}$ + $y^{2}$ - 4 $y^{2}$ + $z^{2}$ - 4 $z^{2}$ + 6x + 48x - 12y +16y -6z - 24z + 9 + 36 + 9 -144 - 16 - 36 = 0

-3 $x^{2}$ - 3 $y^{2}$ -3 $z^{2}$ + 54x + 4y -30z -142 = 0

Taking (-) common

- ( 3 $x^{2}$ + 3 $y^{2}$ + 3 $z^{2}$ - 54x - 4y +30z + 142) = 0

3 $x^{2}$ + 3 $y^{2}$ + 3 $z^{2}$ - 54x - 4y +30z + 142 = 0

dividing the whole equation by 3

$x^{2}$ + $y^{2}$ + $z^{2}$ - 54/3x - 4/3y +30/3z + 142/3 = 0

$x^{2}$ + $y^{2}$ + $z^{2}$ - 18x - 4/3y +10z + 142/3 = 0

7 0

2 years ago

works as a florist and worked 12 hours last week and earned $98. At that rate, how much will she earn this weekend if she works

kotykmax [81]

Answer:

$114.3

Step-by-step explanation:

Number of hours worked last week = 12hrs

Amount earned for her work hours = $98

The rate at which she earned = ?

Rate = $\frac{amount earned }{total work hour}$

Rate = $\frac{98}{12}$ = $8.17/hr

Now;

Since the total hours she worked during the weekend = 14hrs

Amount earned = $8.17/hr x 14hrs = $114.3

7 0

2 years ago