Solve x2 + 32x = –255 by completing the square.

Question 8 options:

x = –17 and x = –15


x = –17 and x = 15


x = 15


No Real Solutions

Answers

Answer 1

Answer:

-15, -17

Step-by-step explanation:

x^2 + 32x = –255 move the -255 to the left

x^2 + 32x +255=0

What two number when multiplied equal 255? Those same two numbers when added make 32. 17*15 make 255 and added is 32

(x+15)(x+17) For x+15=0 move the 15 to the other side. x= -15. Same with x+17=0 is x= -17

x= -15, -17


Related Questions

4х – Зу = 34
3х + 2y = 17

Answers

(7, -2)
2(4x-3y=34)
8x-6y=68

3(3x+2y=17)
9x+6y=51

8x-6y=68
+9x +6y=51
17x =119
x=7

4(7)-3y=34
28-3y=34
-28 -28
-3y=6
y=-2

Joanna is 152cm tall .Kristal is 8cm shorter what is the sum of heights.​

Answers

Answer:

296 cm

Step-by-step explanation:

Joanna is 152cm tall

Kristal is 152 - 8 =  144 cm

The sum of the heights is

152 + 144 =296 cm

Greatest common factor of 25,50,75

Answers

Answer:

gcd (50; 75) = 25 = 5^2:

Step-by-step explanation:

hope it help

The greatest common factor of 25, 50 and 75 is 5*5, which is equal to 25.

We are given that;

The three numbers = 25, 50, 75

Now,

The greatest common factor (GCF) of two or more numbers is the largest positive integer that divides evenly into all the numbers with zero remainder.

To find the GCF of 25, 50 and 75, we can use the prime factorization method. This involves writing each number as a product of its prime factors and then finding the common factors among them.

The prime factorization of 25 is 5*5

The prime factorization of 50 is 2 x 5*5.

The prime factorization of 75 is 3 x 5*5.

The common factors of 25, 50 and 75 are 1 and 5*5.

Therefore, by factorization the answer will be 25.

Learn more about factorization here;

https://brainly.com/question/10454590

#SPJ4

3 (5р — 3) = 5 (p — 1)

Answers

15p - 9 = 5p - 5

Hope this helps and have a nice day!!!

(Don’t forget to mark branliest if it is right!!!)

Katrina wants to build a fence around her Square Garden the garden has an area of 121 square feet How much Fencing will Katrina Need?

A. 13 Feet
B. 26 Feet
C. 39 Feet
D. 44 Feet

Answers

Answer:

D. 44 because its the primemiter

hey! i think the answer is D. 44 Feet

someone please help me and fast if you can:(

Answers

The y intercept of the function is 700. And you are correct with the other one
the y intercept is 700. your second answer for why is correct!

Ms. Moneyhun's son, Sam, just learned to crawl. He can crawl 20 ft in one minute. How many feet can Sam crawl in one hour? (Hint: there are 60 minutes in one hour)​

Answers

Answer:

1200 ft in one hour

Step-by-step explanation:

The ratio of Sam crawling 20 ft in one minute can be written as:

20:1

Multiply the ratio by 60 to get the minutes to 60 minutes, because there are 60 minutes in an hour:

 20    :    1

×60     ×60

To get:

1200:60    This means Sam can crawl 1200 ft in 60 minutes, which is the same as 1200 ft in one hour.

Hope this helps! :)

what’s the hypotenuse of c ?

Answers

Answer:

it would be A 160

Step-by-step explanation:

4 square plus + 12 square = 16+144=160

A triangle has side lengths of (1.3k+3.5m)(1.3k+3.5m) centimeters, (4.1k-1.6n)(4.1k−1.6n) centimeters, and (9.7n+4.4m)(9.7n+4.4m) centimeters. Which expression represents the perimeter, in centimeters, of the triangle?

Answers

Answer:

(5.4k+7.9m+8.1n) centimeters

Step-by-step explanation:

Given the side length of a triangle;

S1 = (1.3k+3.5m) cm

S2 = (4.1k-1.6n) cm

S3 = (9.7n+4.4m) cm

Perimeter of the triangle = S1+S2 + S3

Perimeter of the triangle = (1.3k+3.5m) + (4.1k-1.6n) + (9.7n+4.4m)

Collect the like terms;

Perimeter of the triangle = 1.3k+4.1k+3.5m+4.4m-1.6n+9.7n

Perimeter of the triangle = 5.4k+7.9m+8.1n

Hence the expression that represents the perimeter of the triangle is (5.4k+7.9m+8.1n) centimeters

Help me with this please!!!

Answers

Answer:

They all have 180 degrees

Step-by-step explanation:

180 degrees
Hope this helps

help me plssssssssssssss

Answers

Answer:

D

Step-by-step explanation:

3/4 × 2/6 = 1/4

3/4÷6/2=1/4

D is ur answer
explanation:

Solve for W
8/10 = w/15

Answers

Answer:

12 because 12/15 =.8 so does 8/10

Answer:

w=12

Step-by-step explanation:

8/10 is equal to 4/5. 4/5 is equal to 12/15. Therefore, W represents 12.

Brainliest are always appreciated :)

PLEASE HELP!!!

The temperature in Country Y is at least 7 degrees colder than in Country X. Write an Inequality and graph it.



Solution:

Let temperature in Country Y be
y
and temperature in Country X be
.

"Temperature in Country Y is is at least 7 degrees colder than in Country X."

At least tells us that the inequality sign is
>=
and that the difference in temperature is at least 7


x-y>=7


x>=7+y


x-7>=y


y =7
in your own words.

2. What are the basic steps to be followed in graphing a two-variable linear inequality?

3. In the solution graph, why is the line
y =7
?
How can you find if a point is a solution to inequality?

Answers

Answer:

1)x-y>7

x>7+y

x-7=y

y =7

If it has to be at least 7 then 7 is less than all of them or equal to it.

2) Step 1: Always start by isolating the variable y on the left side of the inequality.

Step 2: Change the inequality to equality symbol. ...

Step 3: Graph the boundary line from step 2 in the X Y − XY- XY−plane. ...

Step 4: The last step is to shade one side or region of the boundary line.

3) The solution graph is y=7 because there is no possible x or x=0

you can find  a point in an inequality in the shaded region of the graph. Any of the points in the shaded region work as a solution of the inequality

Hope I helped!!

dude on top is right

What is the final amount if 1102 is increased by 2% followed by a further 1% increase?

Answers

Answer:

the final amount is 1,135

Step-by-step explanation:

The computation of the final amount is shown below:

= Amount × (1 + increased percentage)

= 1102 × (1 + 0.02)

= 1102 × 1.02

= 1124.04

Now the additional one percent increase is

= 1,124.04 × 1.01

= 1,135

Hence, the final amount is 1,135

The same is to be considered

Help me guys plsss!!!!!

Answers

Answer:

I have no idea

Step-by-step explanation:

A rectangular poster is to contain 578 square inches of print. The margins at the top and bottom of the poster are to be 2 inches, and the margins on the left and right are to be 1 inch. What should the dimensions of the poster be so that the least amount of poster is used?

Answers

Answer:

19 by 38

Step-by-step explanation:

The area of the poster, A=xy

Margin at both up and bottom is 2inches, at the right and left is 1 inch

Then we can say

(x-4)(y-2)= 578

Let us make y subject of the formula

(y-2)= 578/(x-4)

y=[ 578/(x-4)] + 2

If we substitute into the area A equation we have

A= x { [ 578/(x-4)] + 2}

A= 2x + (578x)/(x - 4)

If we differentiate we have

A'(x)= [2+578(x-4)+578x ]/ (x-4)^2

=[ 2(x-4)^2 + 578(x -4) + 578x ] / (x-4)^2

=[ 2(x^2 - 8x +16) + 578(x-4) + 578x ] /(x-4)^2

If we simplify this we have

=[ 2x^2 -16x +32+578x -578x - 2312]/ (x-4)^2

=( 2x^2 -16x - 2312) / (x-4)^2

At A'(x)= 0

= ( x^2 - 8x - 2312) / (x-4)^ =0

If we divide through by 2 we have

x^2 - 8x - 1156= 0

Solving the quadratic eqn( CHECK THE ATTACHMENT)

X= 38 or -30 then we choose the positive one, then x= 38

Then from area of the poster

A= (x-4)(y-2)= 578

Substitute 38 as value of x

(38-4)(y-2)= 578

34(y-2)=578

34y-68=578

34y=646

y=19

Hence dimensions of the poster is 19 by 38

CHECK THE ATTACHMENT FOR QUADRATIC SOLUTION

Holly bought a magazine subscription for a year. She paid $27. Holly wanted to find the price, p, of the subscription each month. She created the model shown to help find this price. 27 р |р |р |р |р |р |р |р | Р | Р |р | p What was the price of the subscription each month? F $39.00 G $2.25 H $324.00 3 $22.50​

Answers

Answer:

2.25 should be the right answer

a scientist is studying the growth of bacteria the bacteria double every 20 min if there are 5 bacteria at the beginning how many bacteria will be there in 2 hours?

Answers

Answer:

15,625

Step-by-step explanation:

2h=120m

120/20 = 6

5^6 = 15,625

solve the following system of equations y=2x+10. y=3x+12

Answers

Answer:

1. Slope: 2     y-intercept: (0,−10)

2. Slope: 3  y-intercept: (0,12)

Step-by-step explanation:

write a function rule for the area, A, of a rectangle whose length is 6ft more than its width, w

Answers

9514 1404 393

Answer:

  A = w(w +6)

Step-by-step explanation:

The length in feet will be w+6. The area is the product of length (w+6) and width (w).

  A = w(w+6)

If 3x+2=6 what is the value of x

Answers

Answer:

x=1.33

Step-by-step explanation:

3x+2=6

3x=4

x=[tex]\frac{4}{3}[/tex]

x=1.33

to check your answer

3 x 1.33 + 2=6

3.99+2=6

5.99=6

6=6

lisa sets a weekly goal of jogging 18 miles. after 3 days she has jogged 6 5/8 miles. How many more miles must she jog to reach her goal ?
choices:
11 5/8
12 3/8
11 3/8
12 5/8
PLEASSE HELP BFKDEK

Answers

Answer: 11 3/8

18 - 6 5/8 = 11 3/8

The coffee merchant plans to mix some fancy $6.50 per pound ground coffee called royal soil with 10 pounds of a lowly $2 per pound ground called royal peasant. How many pounds of the $6.50 per pound ground coffee should he use?

Answers

Answer and explanation:

Given:

Royal soil= $6.50 per pound

Royal peasant = $2 per pound of 10 pounds

Blend total pounds is x+10, price is unknown hence solved below

Using algebra

We find unknown x = number of pounds of royal soil

$6.50(x)+$2(10)=6.50x+20/x+10(x+10)

= 6.50x+20= 6.50x²+85x+200

Answer:  its 8 :)

i hope this helps!!!!

Consider the system of equations.

y = –2x + 4,

3y + x = –3

Which statement is true of this system of equations?
Both equations are in slope-intercept form.
The first equation converted to slope-intercept form is y + 2x = 4.
The second equation converted to slope-intercept form is .y = negative one-third x minus 1
Neither equation is in slope-intercept form.

Answers

Answer:

C) The second equation converted to slope-intercept form is .y = negative one-third x minus 1

Step-by-step explanation:

Answer:

c on edge

Step-by-step explanation:

Consider the system of equations.

y = –2x + 4,

3y + x = –3

Which statement is true of this system of equations?

Both equations are in slope-intercept form.

The first equation converted to slope-intercept form is y + 2x = 4.

The second equation converted to slope-intercept form is .y = negative one-third x minus 1

Neither equation is in slope-intercept form.

What is the area of a circle that has a circumference of12r?
I need it now

Answers

452.16 is the answer I think

Please help me with this question! Will mark brainliest :)

Answers

Answer:

option c ) y = 3x -2

given, y=10 & x=4

let's equate in equation

y = 3x -2

LHS = Y = 10 ( given )

RHS = 3X -2 = 3(4)-2

= 12-2

= 10

SO, LHS = RHS

hence , SATISFIED ✔️

we end here ^^"

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HELPPPP... Don't just use my points people

Answers

Answer:

33

Step-by-step explanation:

What is the square root of 10,000 in simplest radical form?

Answers

Answer:

Step-by-step explanation:

the answer is 100

I NEED HELP! what shape is symmetry ?

Answers

Answer:

E, the heart

Step-by-step explanation:

Answer:

The heart

Step-by-step explanation:

It is able to flip and still look the same

Simplify 7 + (−3). (1 point)

Question 5 options:

Answers

Positive four. Is the answe.

Answer:

4

Step-by-step explanation:

7+ (-3)= 4 lol not sure if thats what you wanted but thats what i understood from your question

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