The tail on Alex's dog is 51/4 inches long. This length is between which two inch-Marks on a ruler

Answers

Answer 1
Answer: 5 and 6 inches, because it's between 5 and 6
Answer 2
Answer: 5 and 6 inches

Because it is more then 5 less then 6

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What is the vertex form of f(x)= 5x^2 +20x-16

Answers

Answer:

Vertex of given quadratic function  is (-2,-36)

Step-by-step explanation:

Given function

We have to find the vertex of the given function .

The standard quadratic function is represented by  ,  

Where (h,k) represents the vertex and a ≠ 0.

If a is positive, the graph opens upward, and if a is negative, then it opens downward.

We first write the given equation in standard form ,by using completing square,

We know

First taking 5 common from function, we have,

Comparing we have, a = x and

-2ab= +4x ⇒ -2b = 4 ⇒ b = -2

Add and subtract b , we get,

On simplifying, we have,

We get,

On comapring with standard equtaion , we have h = -2 and k = -36

Thus, vertex of given quadratic function  is (-2 ,-36)

Solve the equation -4(1.75+x)=18. Show your work.

Answers

The required solution is x=(-25)/(7)

Given equation is,

-4(1.75+x)=18

Simple linear equation:

Linear equations are equations of the first order. The linear equations are defined for lines in the coordinate system. When the equation has a homogeneous variable of degree 1.

Now, solving the given equation,

-4(1.75+x)=18\n-7-4x=18\n-4x=18+7\n-4x=25\nx=(-25)/(7)

Learn more about the simple linear equation:

brainly.com/question/11242211

-4×(1.75+x)=-4×1.75+-4×x=7-4x
-7-4x=18
18-(-7)=18+7=25
-4x=25
25÷(-4)=-6.25
x=-6.25

Solve the system of equations -x - 2y = 11 and -3x - 2y = -7

Answers

Answer: (9,-10) or x=9...y=-10

Keanna paid 240$ for an X-box with a 15% markup from the original price. What was the original price

Answers

240$ x .15 = 36 + 240$ = 276$

Answer:

$204

Step-by-step explanation:

you have to do 15% of 240 and you get 36

you subtract 36 from 240 to get 204

What is the equation of the line of best fit for the following data? Round the slope and yintercept of the line to three decimal places.

Answers

Answer:

Option A. y=-1.560x+22.105

Step-by-step explanation:

Using a linear regression calculator

see the attached figure

The equation is equal to

y=-1.56015x+22.10526

Round the slope and y-intercept of the line to three decimal places

so

y=-1.560x+22.105

At another theater, workers have to cut a new trap door. The door can be no more thn 130 square feet in area, with whole-numbers side lenghts. They have to bring in three items to the stage.The first item is six feet, 5 inches wide and 8 feet, nine inches long. The second item is 13 feet, 4 inches wide, and 7 feet,8 inches long. The third item is 5 feet, 6 inches wide and 12 feet, 4 inches long. What size of trap door would you recommend?What is the perimeter of your trap door?

Answers

Given:
trap door = 130 square feet.

1st item: 6ft 5in wide & 8ft 9in long 
⇒ (6ft * 12 in) + 5 in & (8ft *12 in) + 9 in
⇒ 77inches by 105 inches
⇒ 8,085 square inches

2nd item: 13ft 4in wide & 7ft 8in long
⇒ (13ft * 12in)+ 4 in & (7ft *12in) + 8 in
⇒ 160 inches by 92 inches
⇒ 14,720 square inches

3rd item: 5ft 6in wide & 12ft 4in long
⇒ (5 ft * 12in) + 6 in & (12ft * 12in) + 4in
⇒ 66 inches by 148 inches
⇒ 9,768 square inches

130 square feet convert to square inches.
130 sq. ft * 144 sq.in/sq.ft = 18,720 sq. in

18,720 sq. in / 160 inches = 117 inches

Length = 160 inches ; Width = 117 inches
Perimeter = 2(160 + 117)
P = 2(277)
P = 554 inches