Jackie solved the equation by completing the square.

x^2−8x+14=0
Which equation shows one of the steps Jackie could have taken to complete the square?

Question 1 options:

x^2−8x+64=−14

x^2−8x+16=−14

x^2−8x+64=−14+64

x^2−8x+16=−14+16

Answers

Answer 1
A is the correct answer.

Related Questions

The triangle in each pair are similar. Find the unknown measures.

Answers

Answer:

b=9ft a=32 degrees

Step-by-step explanation:

The triangles in each pair are similar meaning the angles will also be the same.  

18ft is 2.25x 8ft so to get b, we multiply the side that is proportionate to it, which is side 4ft

4x2.25=9ft

b=9ft

angle a is directly across from side 4ft which is proportionate to side b.

therefore, angle A is also propertionate to the angle across from side b, 32 degrees.

Solve for x pls help ASAP

Answers

Answer:

133

Step-by-step explanation:

If you need an explanation please tell me.

Pretty sure it’s 127

Manuel bought 9 pounds of apples. He has eaten 1.5 pounds so far and has $15
worth of apples left. Write and solve an equation to find the cost of the apples
per pound to the nearest dollar. How much did the apples cost per pound?
please answer quick

Answers

Answer:

$2 per pound

Step-by-step explanation:

Let the cost of apples be x

Then we have equation:

(9 - 1.5)x = 157.5x = 15x = 15/7.5x = 2

Cost of apple: $2 per pound

How do I do this step by step?

Answers

Answer:

1. Rectangle: l(2)+w(2)

2. Triangle: side(2)+base

3. 3, 8

Write an equation in point-slope form for the line through the given point with the given slope.(3,-4);m=-1/4

Answers

Answer:

The equation in point-slope form for the line through the given point with the given slope is: [tex]y+3 = -\frac{1}{4}(x-3)[/tex]

Step-by-step explanation:

The point slope form of a line is given by:

[tex]y-y_1 = m(x-x_1)[/tex]

Here m is the slope and (x1,y1) are the coordinates of the point through which the line passes.

Given

m = -1/4 and

(x1,y1) = (3,-4)

Putting the values in the point-slope form of line

[tex]y-(-4) = -\frac{1}{4}(x-3)\\y+4 = -\frac{1}{4}(x-3)[/tex]

Hence,

The equation in point-slope form for the line through the given point with the given slope is: [tex]y+3 = -\frac{1}{4}(x-3)[/tex]

Rice costs $x per kilogram.
Potatoes cost $(x + 1) per kilogram.
The total cost of 12 kg of rice and 7 kg of potatoes is $31.70.
Find the cost of 1 kg of rice.

Answers

Answer:

$1.3

Step-by-step explanation:

12x+7x+7=31.7

x=1.3

PLS GIVE BRAINLIEST

m² - 5m – 14 = 0
Please help me to solve this quadratic equation.
Don't answer if you don't know.​

Answers

Answer:

The answer is m=-2 or m=7.

Step-by-step explanation:

The steps to solve this equation are below:

Factor: to get (m+2)(m−7)=0.

m+2=0 or m−7=0

m=−2 or m=7. So, your answer is m=-2 or m=7.

Answer:

m = 7

m = -2

Step-by-step explanation:

ax^2 + bx + c

1m^2 - 5m - 14

a = 1

b = -5

c = -14

-b ± √b^2 - 4ac/2a

-(-5) ± √(-5)^2 - 4(1)(-14)/2(1)

5 ± √25 + 56/2

5 ± √81/2

5 ± 9/2

5 + 9/2

14/2 = 7

5 - 9/2

-4/2 = -2

given DE is a mid segment of triangle ABC

find the value of x and y

what is the length of AC​

Answers

Answer:

Step-by-step explanation:

Water is being pumped into a baby pool at a constant rate. At 1:30 p.m., the water depth was 1.2 feet. It is now 4:00 p.m., and the depth of the water is 2.3 feet. What will the depth (in feet) of the water be at 5:00 p.m.?​

Answers

Answer:

the dept shoudk be 3.4 because it increase by 1.1

P= (x,y) is an arbitrary point on the circle x^2+y^2=36

1. Express the distance d from P to the point A= (8,0) as a function of the x-coordinate of P

2. What are the domain and range of this function d(x)?

Answers

Let (x,y) be an arbitrary point on the circle.

Then d = √[x-3)2 + (y-0)2] = √[x2 - 6x + 9 + y2]

Since x2 + y2 = 1, y2 = 1-x2.

So, d = √[x2 - 6x + 9 + 1 - x2]

     d = √(-6x+10)

Domain:  x is the x-coordinate of a point on the circle centered at (0,0) with radius 1.  So, -1≤x≤1.

             But, for d to be defined, we need -6x+10 ≥ 0.  So, x ≤ 5/3  (True for all x in [-1,1]).

             Domain = [-1,1]

Range:    -1 ≤ x ≤ 1   So, 6 ≥ -6x ≥ -6

                                    16 ≥ -6x+10 ≥ 4

                                     4 ≥ √(-6x+10) ≥ 2   That is, 2 ≤ d ≤4

              Range:  [2,4]

Step-by-step explanation:

Use the table to find the ratio. Enter the ratio as a fraction in simplest form.

Color of socks white black blue brown
Number of socks 8 7 5 3


The ratio of black socks to all of the socks is

Answers

Answer:

7/16

Step-by-step explanation:

PLEASE HELP ME
What is the simplified form of

the quantity of x plus 6, all over 3 − the quantity of x plus 2, all over 3

Answers

It is 4/3. the quantity of 4 over 3
X+6/3 - x+2/3= x+6-x-2/3 = 4/3.

The answer choices are -3/4, -1/2, 2/3, and 4/3.

Answers

Answer:

-3/4

Step-by-step explanation:

slope

m=y2-y1

 ----------

x2-x1

Use any two coordinates. I'll use (-4,5) and (4,-1)

-1-5

-----

4-(-4)

-6

----

8

simplified to

-3/4

Answer:

Slope= A: -3/4

Step-by-step explanation:

If $120.00 is borrowed for 3 years at 5% how much interest will be generated by the end of the loan? please answer will mark brainelist​

Answers

Answer:

I = prt / 100

120x3x5 / 100

= 18

5
The histogram shows the number of miles driven by a sample
of automobiles in New York City. What is the class width?
40
3
Frequency
20
10
10.000
40,000
20,000 30,000
Number of Miles
50,000
10,000
10
5,000

Answers

Answer:

The possible maximum answer could be 40,000.

Convert to exponential form

Answers

Answer:

i got 27

Step-by-step explanation:

Solve the system of equations below by graphing both equations with a pencil and paper. What is the solution? y = x+1 1 X+ 3 2. O A. (-4,-3) OB. (-2,1) O C. (2,3) O D. (4,5)​

Answers

Answer:

D. (4, 5)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Algebra I

Solving systems of equations using substitution/eliminationSolving systems of equations by graphing

Step-by-step explanation:

Step 1: Define systems

y = x + 1

y = 1/2x + 3

Step 2: Solve for x

Substitute in y:                              x + 1 = 1/2x + 3Subtract 1/2x on both sides:        1/2x + 1 = 3Subtract 1 on both sides:              1/2x = 2Divide both sides by 1/2:              x = 4

Step 3: Solve for y

Define original equation:                   y = x + 1Substitute in x:                                    y = 4 + 1Add:                                                     y = 5

Step 4: Graph

We can confirm our answer.

Explain why an absolute value can never be a negative

Answers

Absolute value describes the distance of a number on the number line from 0 without considering which direction from zero the number lies. The absolute value of a number is never negative.

help me plss ;-; ASAP :( I WILL GIVING BRAINLEIST​

Answers

Step-by-step explanation:

1. E

2. D

3. G

4. H

5. F

6. C

7. B

8. J

9. A

10. I

this is the correct answer

mark me as brainleist

Which exponential function is represented by the graph?
O f(x) = 2( 1/2 )x
O f(x) = 1/2(2)x
O f(x) = 1/2(1/2)x
Of(x) = 2(2)x
PLEASE HELP MEE!

Answers

Answer:

f(x) = [tex]\frac{1}{2}[/tex] [tex](2)^{x}[/tex]

Step-by-step explanation:

Using the standard form of the exponential function

y = a [tex]b^{x}[/tex]

To find a and b , substitute ordered pairs from the graph

Using (0, 0.5 ), then

0.5 = a[tex]b^{0}[/tex] [

a = 0.5 , so

y = [tex]\frac{1}{2}[/tex] [tex]b^{x}[/tex]

Using (1, 1) , then

1 = [tex]\frac{1}{2}[/tex][tex]b^{1}[/tex] , thus

b = 2

f(x) = [tex]\frac{1}{2}[/tex][tex](2)^{x}[/tex] ← exponential function representing graph

I need help here ... I’m dumb ash

Answers

Answer: u ain’t dumb :c

Step-by-step explanation:

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Answer:kakakakkakakkaanfsjehbrghjidorfnj

Step-by-step explanation:

Mrs. Callahan gave a test. 90% of the students passed the test. If 50 students took the test, how many passed

Answers

Answer:

45 students passed the test

Step-by-step explanation:

900/100x5/1=45

what monomial is equivalent to
(4x^5)^2

Answers

Answer:

16x^10

Step-by-step explanation:

What is the answer I got it wrong

Answers

Answer:

-1/2

Step-by-step explanation:

It’s y2 - y1 over x2-x1

- 2 - 3

— - -—-

6 - (-4)

= -5/10

= -1/2

Answer: 1/2

Step-by-step explanation:

-6x-43-4
Which of these values of x does not make the inequality true?
A.-4
B. 0
C.7
D.2.5

Answers

Answer:

try b

Step-by-step explanation:

i think its b because anything with 0 is 0

The answer to this question is B

can someone help me with this?

Answers

Answer:

The answer should be for because the triangles are SSA. and SSA is not congruent

HELP PLEASE!!!!!!!!!!!!!!!

Answers

Answer:

x=14

Step-by-step explanation:

9x + 210 = 4x + 140

5x + 210 = 140

5x = -70

x = -14

which of the following is a solution to

Answers

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

[tex]x < - 3 \: \: \: and \: \: \: x > 4[/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

GameStop is selling video games for $32 each. Used video games sell for $12 each. David is buying 3 new video games and x used video games. Which equation can be used to find y, the total price David must pay in dollars?

Answers

Answer:

12x plus 3x equals $32

Step-by-step explanation:

I just wrote an equation that best fits the problem

Find an equation of the line through (3,5) and parallel to y = 3x -7. Write the equation using function notation
f(x)=__​

Answers

Given:

Equation of line is [tex]y=3x-7[/tex].

To find:

The equation of line which is parallel line to [tex]y=3x-7[/tex] and passes through (3,5) in function notation.

Solution:

Slope intercept form of a line is

[tex]y=mx+b[/tex]

where, m is slope and b is y-intercept.

On comparing the equation [tex]y=3x-7[/tex] with slope intercept form, we get

[tex]m=3[/tex]

So, slope of given line is 3.

Slope of parallel lines are same. Thus, the slope of parallel line is also 3.

Point slope form of a line is

[tex]y-y_1=m(x-x_1)[/tex]

where, m is slope.

The parallel line passes through (3,5) with slope 3. So, the equation of line is

[tex]y-5=3(x-3)[/tex]

[tex]y-5=3x-9[/tex]

Add 5 on both sides.

[tex]y=3x-9+5[/tex]

[tex]y=3x-4[/tex]

Function notation of this equation is

[tex]f(x)=3x-4[/tex]

Therefore, the equation equation in function notation is [tex]f(x)=3x-4[/tex].

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