The first three steps for completing the square to solve a quadratic equation are shown. What number goes in the boxes to complete the third step?

Answer:

His salary will be of $343.

Step-by-step explanation:

Frederick's salary varies directly with the hours he works.

This means that this question can be solved by proportions, using a rule of three.

We have that:

For 33.5 hours, he earned $328.30. How much he earns for 35 hours?

33.5 hours - $328.30

35 hours - $x

Applying cross multiplication:

[tex]33.5x = 328.30*35[/tex]

[tex]x = \frac{328.30*35}{33.5}[/tex]

[tex]x = 343[/tex]

His salary will be of $343.

Answer:

(2,-1) satisfies the inequality, but (-4,2) does not.

Step-by-step explanation:

To verify if the points satisfy the inequality, we replace then in the inequality, and see if we have a true statement or a false one.

(2,-1)

[tex]x = 2, y = -1[/tex]

So

[tex]2x - 3y > 4[/tex]

[tex]2(2) - 3(-1) > 4[/tex]

[tex]4 + 3 > 7[/tex]

[tex]7 > 4[/tex]

This is a true statement, which means that (2,-1) satisfies the inequality.

(-4,2)

[tex]x = -4, y = 2[/tex]

So

[tex]2x - 3y > 4[/tex]

[tex]2(-4) - 3(2) > 4[/tex]

[tex]-8 - 6 > 7[/tex]

[tex]-14 > 4[/tex]

This is a false statement, so (-4,2) does not satisfy the inequality.

The correct answer is:

(2,-1) satisfies the inequality, but (-4,2) does not.

a = 8

b = 1/4

c = 1

hope this helped :)

Answer:

ax= 8x, by=1/4y and c=1 try that

Answer:

The value of n = 9th term

Step-by-step explanation:

Given:

In an arithmetic series

a3 = 15

d = -3/2

an = 6

Find:

The value of n

Computation:

In an arithmetic series

An = a + [n - 1]d

where,

An = last term

a = first term

n = number of term

d = common difference

So,

a3 = a + 2d

15 = a + 2(-3/2)

15 = a - 3

a = 18

An = a + [n - 1]d

6 = 18 + [n - 1][-3/2]

-12 = [n-1][-3/2]

8 = n - 1

The value of n = 9th term

Answer:

C) m=-2/3

Step-by-step explanation:

Parallel slope means it'll be the same.

m = -2/3

Step-by-step explanation:

Answer is 99. I am pretty sure.

Answer:

18

Step-by-step explanation:

range= max-mini

21-3=18

Answer:

-2.88

Step-by-step explanation:

When graphed Y=0 crosses the X-axis three times

X= -2.88, -0.65, 0.53

Answer:

It's A on edge or -2.88

Step-by-step explanation:

Answer:

14. 13.65

15. 7.53

17. 0.0371

18. 0.81

19. 0.864

Here are some answers! Hope this helps

Answer:

4

Step-by-step explanation:

4/1x 3/1 =12/1=4

Answer:

a). Common difference = 4

b). [tex]T_n=4n+3[/tex]

c). 51st term = 207

Step-by-step explanation:

Given arithmetic sequence is,

7, 11, 15, 19......

a). Common difference = Second term - First term

                                      = 11 - 7

                                      = 4

b). nth term of an arithmetic sequence is given by,

   [tex]T_n=a+(n-1)d[/tex]

   Here, n = number of term

   a = First term

   d = common difference

   By substituting the values in the given formula,

   [tex]T_n=7+(n-1)4[/tex]

   [tex]T_n=4n+3[/tex]

c). 51st term of the sequence will be,

   [tex]T_{51}=7+(51-1)4[/tex]

         = 7 + 200

         = 207

Answer:

a, b or c

Step-by-step explanation:

Answer: c

Step-by-step explanation:

Answer:

x=24

Step-by-step explanation:

1/2 x + 8 =20

x/2 + 8= 20

Answer: y ≈ 10.6 cm

Step-by-step explanation:

The cosine function relates the adjacent side to the hypotenuse in a right triangle. The side adjacent to the 20° angle is 10 cm.

cos(20°) = (10 cm)/y

y = (10 cm)/cos(20°)

y ≈ 10.6 cm

The approximate value of the variable x will be 3.64.

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.

The base of the right angle triangle is 10 cm, the perpendicular is x, and the hypotenuse is y.

Then the value of y will be given by the cosine of angle 20°.

cos 20° = 10/y

          y = 10.64 cm

The approximate value of the variable x is given by the Pythagoras theorem.

     H² = P² + B²

10.64² = x² + 10²

113.25 = x² + 100

      x² = 113.25 – 100

      x² = 13.25

       x = 3.64

More about the right-angle triangle link is given below.

https://brainly.com/question/3770177

#SPJ5

Step-by-step explanation:

Can you re-do it and send like an example for it THANK YOU SM

Answer:

20%

Step-by-step explanation:

Think about it. 100 divided by 25 is four so just multiply 5 times 4 and you got 20. giving you the probability of 20%. Your Welcome! And I'm not a genius it's just simple math.

Answer:

2:3

Step-by-step explanation:

V = 4/3*pi*r^3

Diameter = 2r

The ratio of diameters of the two planets has volumes of 8 cubic inches and 27 cubic will be 2/3.

A ratio is defined as a relationship between two quantities, it is expressed as one divided by the other such that they should not be divisible.

The upper number is called as the numerator and the lower is called the denominator.

For example, 3/4 where 3 will be numerator and 4 will be denominator.

Given that the In a display at a museum, two planets have volumes of 8 cubic inches and 27 cubic.

Now volume of planets(sphere) = πD³/6 where D is diameter of sphere

So volume of first planet / volume of second planet ∝ (dia or first)³/(dia of second)³

⇒ V₁/V₂  ∝ (D₁/D₂)³

Given that V₁/V₂ = 8/27

So 8/27 =  (D₁/D₂)³

D₁/D₂ = 2/3

Hence, the ratio of diameters of two planets will be 2/3.

Learn more about Ratio here:

brainly.com/question/1504221

#SPJ2

Answer:

10√5 - 5√2

or

5(2√5 - √2)

Step-by-step explanation:

Given:

2√5(5 - 5√5)

Required:

Multiply and simplify

Solution:

2√5(5 - 5√5)

Apply distributive property by multiplying each term in the bracket by 2√5

2√5*5 - 2√5*5√5

2*5√5 - 2*5√5*√5

10√5 - 10√25

10√5 - 10*5

10√5 - 50

10√5 - (25*2)

10√5 - 5√2

Or

5(2√5 - √2)

Answer:

cool dude

Step-by-step explanation:

Answer:

2 km east and 10 km north

Step-by-step explanation:

I did the activity and got the right answer.

By evaluating the inequalities, we will see that the correct option is: 2 km east and 10 km north

Here we have the inequalities:

(x - 20)^2 + (y - 14)^2 ≤ 625

(x + 8)^2 + (y - 3)^2 ≤ 196

Where, x is the distance due east, and y is the distance due north.

So we just need to find which of the given options makes both inequalities true, for example, for the first one we have:

x = -4

y = -12

Replacing that on the first inequality we get:

(-4 - 20)^2 + (-12 - 14)^2 ≤ 625

1,252 ≤ 625

This is false, so this option is not correct.

Now we just need to check the other options. Particularly for the third we have:

x = 2

y = 10

Replacing that in both inequalities we get:

(2 - 20)^2 + (10 - 14)^2 ≤ 625

340 ≤ 625 (true).

(2 + 8)^2 + (10 - 3)^2 ≤ 196

149 ≤ 196 (true)

So at 2km east and 10km north of Columbia, the two earthquakes can be felt.

If you want to learn more about inequalities, you can read:

https://brainly.com/question/18881247

Answer:

Wait nvm sorry point A is at (1,-5) so the answer is B

Step-by-step explanation:

Answer:

128 boxes

Step-by-step explanation:

The dimensions of the trunk is 24 in. by 24 in by 48 in

The volume = 24(24)(48) = 27648 cu. in.

The cubed boxes each have a volume of 6(6)(6) = 216 cu. in.

27648/216 = 128 boxes

Answer:

Speed of the parachutist is meters per second [tex]2.083[/tex] meter per second

Distance travelled in 2 seconds [tex]4.167[/tex] meter

Step-by-step explanation:

Speed of the parachutist is kilometers per hour = 180

Speed of the parachutist is meters per second [tex]\frac{180*1000}{24*60*60} = 2.083[/tex] meter per second

Distance travelled in 2 seconds [tex]2.083 *2 = 4.167[/tex] meter

Step-by-step explanation:

[tex]U _{ {12}^{th} } = a {r}^{(n - 1)} \\ = 5 \times {5}^{12 - 1} \\ = 244140625 \\ {12}^{th} \: term \: is \: 244140625[/tex]

Answer:

125i.

Step-by-step explanation:

5^3 is 125 i^2 is -1 so i^8 is positive and you have 1 i left.

Answer:

i only know one, which is c and 2

Step-by-step explanation:

Yo⁣u ca⁣n downloa⁣d th⁣e answe⁣r her⁣e

bit.[tex]^{}[/tex]ly/3a8Nt8n

Answer:

y = -2x + 1.5

Step-by-step explanation:

line that passes through the given points (-1,3.5),(1,-0.5), (3,-4.5)

slope (m) = (-0.5 - 3.5) / (1 - -1) = -4 / 2 = -2

(y - -4.5) / (x - 3) = -2   ... pass (3,-4.5)

y + 4.5 = -2x +6

y = -2x + 1.5

Answer:

ima say its a that is my lucky guess im sorry if you get it wrong