Use completing the square to solve for x in the equation (x+ 7)(x-9)=25,
OX= 4 or 6
O X-2 or 14
O x=1V89
O x=1 V87

Use Completing The Square To Solve For X In The Equation (x+ 7)(x-9)=25,OX= 4 Or 6O X-2 Or 14O X=1V89O

Answers

Answer 1

Answer:

3rd option

Step-by-step explanation:

(x + 7)(x - 9) = 25 ← expand left side using FOIL

x² - 2x - 63 = 25 ( add 63 to both sides )

x² - 2x = 88

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 1)x + 1 = 88 + 1

(x - 1)² = 89 ( take square root of both sides )

x - 1 = ± [tex]\sqrt{89}[/tex] ( add 1 to both sides )

x = 1 ± [tex]\sqrt{89}[/tex]


Related Questions

A flower bed is in the shape of a triangle with one side twice the length of the shortest​ side, and the third side is 19 feet more than the length of the shortest side. Find the dimensions if the perimeter is 167 feet.

Answers

Answer:

Please give Brainliest!

Step-by-step explanation:

The three dimensions are 36ft, 72ft, and 59ft.

let's find the value.

3 upon 8 of 2m (in cm) ​

Answers

Answer:

75 cm

Step-by-step explanation:

1 m = 100 cm , so

2 m = 200 cm

Then

[tex]\frac{3}{8}[/tex] × 200 cm

= 0.375 × 200 cm

= 75 cm

Juan has 20 books to sell. He sells the books for $15 each.

The amount of money Juan makes from selling x books is represented by the equation y=15x
y
=
15
x



What is the theoretical range of the equation?

Question 2 options:

All multiples of 20 between 0 and 300, inclusive


All integers from 0 to 20, inclusive


All multiples of 15 between 0 and 300, inclusive


All real numbers

Answers

Answer:

Well u would multiply 20 x 15 to find out the highest if the range which is 300 . So that knocks it down to B or D. But since they're $15 each, It would be based of the multiples of 15 making your answer B .

The range is all the y values.....or the f(x) values .

So the practical range would be the multiples of 15 between 0 and 300,Inclusive .

Hope this helps you!!

n less than 10
.......................

Answers

Answer:

n<10

Step-by-step explanation:

3. Allison bought some shirts for her clothing store for $15 each. She received $50 off her entire purchase and spent a total of $400. How many shirts did Allison purchase for her store?​

Answers

Answer:

30

Step-by-step explanation:

15x30 = 450

Answer:

She purchased 30 shirts.

Step-by-step explanation:

She paid only $400 Dollars, because she got a discount of $50.

So the total before getting the discount was $450.

If you divide $450 by $15 (the price for 1 shirt) you come up with 30.

450/15 = 30

evaluate 5(ax4)+b,
when a=1/3 and b=12

Answers

you just need to put the values of a and b where they have to be

.

hope I helped!

Please Help I will vote Brainliest!
Hank has read 25 percent of his book. If Hank has read 150 pages, which equation can be used to find the total number of pages in the book?
StartFraction 25 times 6 Over 100 times 6 EndFraction = StartFraction 150 Over 600 EndFraction
StartFraction 100 times 4 Over 25 times 4 EndFraction = StartFraction 400 Over 100 EndFraction
StartFraction 25 divided by 1 Over 150 divided by 1 EndFraction = StartFraction 25 Over 150 EndFraction
StartFraction 150 divided by 2 Over 100 divided by 2 EndFraction = StartFraction 75 Over 50 EndFraction

Answers

Answer:

x = 600 pages

Step-by-step explanation:

Let the total books pages be x

Given that

Hank had read = 25% of x

25% of x = 150

=>  

Multiplying both sides by 4

=> x = 150 * 4

=> x = 600 pages

Step-by-step explanation:

There you go.

Answer:

C

Step-by-step explanation:

equation of the line (6,10) , (-3,-2)

Answers

The equation for this line is y=1.3x+2

Answer:

[tex]y=\frac{4}{3}x+2[/tex]

Step-by-step explanation:

using two points you can find the slope of the line using the formula [tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

plugging in the x- and y- values into the equation above, you'll get:

[tex]m=\frac{-2-10}{-3-6}=\frac{-12}{-9}=\frac{4}{3}[/tex]

so far, you have [tex]y = \frac{4}{3}x+b[/tex]

using any of the two points, you can solve for b. in this case, the point (-3, -2) is used.

[tex]-2=\frac{4}{3}(-3)+b\\-2=-4+b\\-2+4=-4+b+4\\2=b[/tex]

the overall equation is [tex]y=\frac{4}{3}x+2[/tex]

if n=11 what is p pls help me

Answers

p=49 1/2 that's the answer i got you lil guy

what times what will give 540

Answers

2x270=540 there for this is right !

Answer:

There are many:

10*54

5*108

2*270

4*135

And more

Step-by-step explanation:

2, 5, 2, 3, 3, 3

These are the multiplies of 540 you can just multiply and they always get you the same solution: 540

Hope this helps!

Could somebody please help with this math?

Answers

Answer:

87

Step-by-step explanation:

the slope is very easy you can solve it in easy way all you have to do is give me your phone

what is the expressions of ײ-3y when x = -5 and y=(2-)

Answers

[tex]\huge \bf༆ Answer ༄[/tex]

Plug the values of x and y in the given expression ~

[tex] \sf {x}^{2} - 3y[/tex]

[tex] \sf( - 5) {}^{2} - (3 \times 2)[/tex]

[tex] \sf25 - 6[/tex]

[tex] \sf19[/tex]

The equivalent value is 19

The answer is 19 hope this helped.

Will mark BRAINLIEST

Answers

Answer:

the star is quadrant 2

Step-by-step explanation:

Answer:

The purple star

Sam paid $50 for her new skateboard. In addition, she paid $3.50 in taxes. What was the tax rate on Sam's purchase?

Answers

Answer: $53.50 ?

Step-by-step explanation:

Simplify. √25a^2.
40 points but reported if troll.

Answers

I think that the answer is 5a.
The square root of 25 is 5 and the square root of a^2 is a.
Hope this helps and if possible could I please have the brainliest answer?

The cylinder and the sphere below have the same radius and the same volume. What is the height of the cylinder?
a.6m
b.8m
c.9m
d.4m​

Answers

ANSWER:

9m is the answer

or Question 5 i:
Harry is planning a holiday for 4 people for 7 days.
Here are the costs for the holiday for each person.
Travel
£150
Hotel
Spending money
£50 for each day
£250
Work out the total cost of the holiday for 4 people for 7 days.

Answers

Answer:

the costs for the holiday for each person

£250

Step-by-step explanation:

So ,

£250 × 7 = 1,750

A 12-ounce bottle of shampoo lasts Enrique 16 weeks . How long would you expect an 18-ounce bottle of the same brand to let him

Answers

Answer:

12 lasts 16

18 lasts x

x=16• 18/12

x= 24

????????????????????​

Answers

Answer:

I would use distributive property

Step-by-step explanation:

It’s B if I’m not mistaken


I need helpppopppppppppppp

Answers

try it use your brain you can do it

Step-by-step explanation:

im not sure how to explain

The total amount Y​ (in dollars) in your savings account after buying x​ video games is represented by y=70−10x​ . You have $40 in your account after buying video games. How many video games did you buy?

Answers

Answer:

330

Step-by-step explanation:

substitute x for 40 because that is how much you have in your account.

y= 70 - 10(40)

y = 70 - 400

y = 330

Therefore you bought 330 video games!!

Hope this helps, please tell me if I am wrong, I love learning from my mistakes:)

A line has a slope of – 4 and includes the points (6,3) and (9,p). What is the value of p?

Answers

Answer:

The value of p is -9.

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(p-3)/(9-6)

m=(p-3)/3

-4=(p-3)/3

-4*3=p-3

-12=p-3

p=-12+3

p=-9

HELP ASAP Jessica is going to build some large wooden storage boxes, The boxes are shaped like rectangular prisms, as shown below. She wants to cover all the sides of each box with a special wallpaper. If she has a total of 1120 ft^2 of wallpaper, how many boxes can she cover?

Answers

Answer:

It should be 17.5 boxes I am not too sure If it is wrong please forgive me

Step-by-step explanation:

Answer: 7 boxes

Step-by-step explanation:

Solve the system using elimination 2x+3y=18 5x-y=11

Answers

Answer:

7x-4y=29

Step-by-step explanation:

the answer should be that's it

Find a solution to the inequality x > 4.
A. 8
B. 3
C. 4
D. 0

Answers

Answer:

8

Step-by-step explanation:

Isn't it simple because all other numbers are less than 4?

for these two rates, calculate the unit rate and determine if these two rates are proportional

Answers

Yes because both equal 1.5 per pound

Shawnte bought a rug for the hall of her apartment. The rug is 3 feet wide by 18 feet long. What is the area of the rug?

Andrea is making potato salad for a buffet luncheon. The recipe says the number of servings of potato salad will be twice the number of pounds of potatoes. If she buys 30 pounds of potatoes, how many servings of potato salad will there be?

According to NCAA regulations, the dimensions of a rectangular basketball court must be 94 feet by 50 feet. What is the area of the basketball court?

Answers

Break up the problem, It will still come out as the same answer.

18x3=(10+8)3

10x3 + 8x3

30 + 24

54 Feet²

Hope This Helps

Answer:

1. 54 feet squared

2. 60 servings

3. 4700 feet squared

Step-by-step explanation:

1. 3x18

2. 30x2

3. 94x50

Estimate the quotient .
pls help me
19 4/5 ÷ 4 5/8

Answers

Answer: The quotient is 4 52/185, which rounds to 4.

Explanation is in the image.

Pls due tmr pls pls fast I need it like rn

Answers

Answer:

Step-by-step explanation:

50 of 100

= 50%

120 of 1

= 1.2%

A class of 30 students visits an art museum and a special exhibit while there.

a. Use the Distributive Property to write and simplify an expression for the cost.
b. Estimate a reasonable value for x. Explain.
c. Use your estimate for x to evaluate both expressions in part (a). Are the values the same?

PRICES:
Museum Exhibit
Child (under 5) Free Free
Student $8 $x
Regular $12 $4
Senior $10 $3

Answer quick!!

Answers

A reasonable price for X would be $ 2.

Since a class of 30 students visits an art museum and a special exhibit while there, and the prices were as follows:

Child (under 5) Free Free Student $ 8 $ x Regular $ 12 $ 4 Senior $ 10 $ 3

To estimate a reasonable value for x, the following logical reasoning must be made:  

Regular 12 Senior 10 Student 8 = -2 Regular 4 Senior 3 = -1

Therefore, a reasonable price for X would be $ 2.

Learn more about maths in https://brainly.com/question/25916930

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