solve y^2-28y=-27

please show work :)

Answers

Answer 1

Answer:

y = 1 or y = 27

Step-by-step explanation:

so first transpose -27 to the left side of the equation to make a quadratic equation.

y² - 28y + 27 = 0.....product = 27 , sum = -28 , factors = -1 , -27

( y² - y) ( -27y + 27)=0

y ( y - 1) - 27( y - 1)=0

( y - 1) ( y - 27)=0

y - 1 = 0 or y - 27 = 0

y = 1 or y = 27


Related Questions

Representa en notación científica 0.00000345

Answers

Answer:

3.45×10^-6

Step-by-step explanation:

Crea el decimal usando los últimos 3 números: 3.45

Multiplica por 10 a la negativa potencia del número de ceros: 10^-6

Select the correct answer.
Name Account Balance
Peyton $250.85
Cooper $65.00
Brendon $230.23
Gerald $58.55
The table shows the bank account balances of four friends. Which sentence about the balances is true?

A.
Gerald has more money in his account than Brendon does.
B.
Peyton has less money in her account than Gerald does.
C.
Cooper has more money in his account than Peyton does.
D.
Brendon has more money in his account than Cooper does.

Answers

Answer:

D. Brenden Has more money in his account than Cooper does

15x = 30
y + 3x = 12
GIVING BRAINIEST!!!!!!!!!

Answers

1. 15(2) =30
2. Y + 3x =12 I’m not sure about the this one but I hope I at least helped you with one
This is the solution :)..

can someone please help

Answers

Answer:

Concurrent as my perception

A florist arranges some orchids in bouquets of 20 and some roses in bouquets of 10. She sells each orchid bouquet for $25 and each rose bouquet for $30. She earns a total of $390. If she sells four times as many orchid bouquets as rose bouquets, how many flowers does she sell altogether?

Answers

Answer:

270 flowers total she sell Together.

Step-by-step explanation:

According to the Question,

Given, A florist arranges some orchids in bouquets of 20 and some roses in bouquets of 10.

Let, x = number of orchid bunches & y = number of rose bunches.

Now, She sells each orchid bouquet for $25 and each rose bouquet for $30. She earns a total of $390

Therefore, 25x + 30y = 390 ⇒⇒ Equation 1  

she sells 4 times as many orchid bunches as rose bunches,

Therefore,  x = 4y  ⇒⇒ Equation 2

Put The Value Of Equation 2 in Equation 1, We get

25 × (4y) + 30y = 390  

100y + 30y = 390

130y = 390  ⇔ y = 390 / 130 ⇒ 3  

if y = 3, then x = 4y must be equal to x= 12.

Thus, she sold 12 orchid bunches and 3 rose bunches.

Verify, 25x + 30y = 390 ⇔ 12 × 25 + 3 × 30 = 390 (All okay)

Now, Each orchid bunch contains 20 flowers and each rose bunch contains 10 flowers.

12 × 20 + 3 × 10 = 240 + 30 ⇔ 270 flowers total she sell Together.

On Saturday, the fruit and juice bar was selling 20 glasses of fruit punch an hour. By 7 p.m., they had sold 180 glasses. If their goal was to sell more than 240 glasses of fruit punch, find the number of hours, h, they must stay open past 7 p.m. to make their goal.

Answers

Answer: A)  h > 3

======================================================

Explanation:

h = number of hours past 7 pm

20h = the number of glasses sold after h hours

20h+180 = adding on the 180 glasses already sold

20h+180 > 240 is the inequality to set up

Let's solve for h

------------------

20h+180 > 240

20h > 240-180

20h > 60

h > 60/20

h > 3

They must remain open more than 3 hours past 7 pm in order to sell more than 240 glasses of juice.

The earliest that they can close is 11 pm (since 4+7 = 11).

--------------------

If h = 3, then

20h+180 = 20*3 + 180 = 240

meaning that they haven't reached their goal of getting over 240

So they have to stay open that extra hour to get past 240.

Using the graph as your guide, complete the following statement.
The discriminant of the function is A. zero
B. negative
C. positive

Answers

Answer:

Step-by-step explanation:

The discriminant tells you where the graph of the parabola goes through the x-axis, if at all. If the discriminant is negative there are no real zeros and the parabola does not cross or touch the x-axis; if the discriminant is positive the parabola will go through the x axis in 2 places; if the discriminant is 0 the parabola will touch the x-axis in 1 place. Our discriminant is 0 since the parabola only touches the x-axis but does not go through.

Draw the graph of y = 2x + 1

Answers

Hoped that I helped you :)

Answer:

Step-by-step explanation:

What is the solution to this equation?
X-7 = 18
A. X= 25
B. X = 35
c. x = 9
D. X= 1)​

Answers

Answer:

x = 25

Step-by-step explanation:

X-7 = 18

Add 7 to each side

X-7+7 = 18+7

x = 25

Given that,

X-7 = 18

Now we can add 7 to each side,

→ X-7 + 7 = 18+7

→ x = 25

So, option (A) is the correct answer.

pls help me solve pls show how you got the answer

Answers

Given:

The figure of a circle O.

To find:

The value of x.

Solution:

First, label some points on the given figure as shown below.

In triangle BOC,

[tex]OB=OC[/tex]                 (Radii of same circle)

It means [tex]\Delta BOC[/tex] is an isosceles triangle and the base angles of an isosceles triangles are congruent. So,

[tex]\angle OBC\cong \angle OCB[/tex]

[tex]m\angle OBC=m\angle OCB[/tex]

[tex]75^\circ=m\angle OCB[/tex]

In triangle [tex]\Delta BOC[/tex],

[tex]m\angle BOC+m\angle OBC+m\angle OCB=180^\circ[/tex]          (Angle sum property)

[tex]m\angle BOC+75^\circ+75^\circ=180^\circ[/tex]

[tex]m\angle BOC+150^\circ=180^\circ[/tex]

[tex]m\angle BOC=180^\circ-150^\circ[/tex]

[tex]m\angle BOC=30^\circ[/tex]

Now,

[tex]m\angle BOC=m\angle BOC+m\angle COD[/tex]

[tex]m\angle BOC=30^\circ+94^\circ[/tex]

[tex]m\angle BOC=124^\circ[/tex]

Using the central angle theorem, we get

[tex]m\angle BAD=\dfrac{1}{2}\times m\angle BOD[/tex]

[tex]x=\dfrac{1}{2}\times 124^\circ[/tex]

[tex]x=62^\circ[/tex]

Therefore, the correct option is B.

Five friends, Billi, Joe, Eduardo, Mari, and Zavier, want one photograph taken of each possible pair of firends. How many photographs need to be taken? A. 10 B. 8 C. 12 D. 5​

Answers

It's d because Xavier said he wants a picture of him with everyone so that would be 1x5

PLEASE help !! someone who knows fr ! pls

Answers

Answer:

It is the first option

Step-by-step explanation:

what is 0.00051 convert in standard form​

Answers

The answer is:

5.1 x [tex]10^-4[/tex]

Answer: 5.1x10^-4

Step 1: Rewrite number

0.00051

Step 2: Make the number smaller

0.00051 can be used in scientific notation once you move the decimal. The decimal needs to be moved so that the number is between 1 and 10. When moving the decimal 4 places to the right, the number can be left at 5.1.

Step 3: Write in standard form

The number on the left side of the multiplication side will be the number that we made smaller. In this case, it is 5.1. The exponent next to the 10 will be of how many places the decimal was moved. This is -4. The negative sign is used since the decimal was moved to the right.

5.1 x 10^-4

An object is moving at a speed of 4 feet per mimite. Express this speed in miles per week. Round your answer to the nearest hundredth​

Answers

Answer:

7.64 miles/week

Step-by-step explanation:

there are 5280 feet in a mile

and 10080 minutes in a week

so it's

4 * 10080 / 5280

the two big numbers where just gougled

Answer:

7.64 miles/week

Step-by-step explanation:

1 mile = 5280 feet ⇒ 1 foot = 1/5280 of a mile1 week = 10080 minutes ⇒ 1 minute = 1/10080 of a week

4 feet / minute = 4* 1/5280 miles ÷ 1/10080 week = 10080/1320 miles/week =  7.64 miles/week (rounded)

simplify 16^x+1 +20(4^2x)/2^x-3 8^x+2

Answers

the answer is in the attachment

Hope it helps

Find the area. The figure is not drawn to scale.

Answers

I believe the answer is B: 13.2 because to find the area of a triangle you do l x w x 1/2.

8 x 3.3 x 1/2 = 13.2.

the slope of _____ lines to 0.

Answers

Answer:

A horizontal line has slope zero since it does not rise vertically (i.e. y1 − y2 = 0), while a vertical line has undefined slope since it does not run horizontally (i.e. x1 − x2 = 0). because division by zero is an undefined operation

Step-by-step explanation:

I hope I'm helpful



Measurement and Geometry
11. What would the total interior angles be for a 21 sided shape?

Answers

Answer:

sum_of_interior_angles = (number_of_sides - 2) x 180° → if number_of_sides is 21: sum = (21 - 2) x 180° = 19 x 180° = 3420°

Step-by-step explanation:

Answer: 3420 degrees

Explanation: You use the formula 180(n-2) with n = 21 to find the answer above.

Pls help me I don’t understand this!!!!

Answers

Answer: D

Step-by-step explanation:

D The angle agacent to arc ML is half the degree. Your answer is 118

Answer:

D

Step-by-step explanation:

angle J is a circumference angle that insists on arc ML. the measure the angle  of this arc is double of it

59 * 2 = 118 degrees

Sophie and Simon are peeling a pile of potatoes for lunch in the cafeteria. Sophie can peel all the potatoes by herself in 45 minutes, while it would take Simon 30 minutes to do the job working alone. If Sophie and Simon work together to peel the potatoes, how long will it take them?

A table showing Rate in part per minute, Time in minutes, and Part of Potatoes Peeled. The first row shows Simon and has StartFraction 1 Over 30 EndFraction, t, and t times StartFraction 1 Over 30 EndFraction. The second row shows Sophie, and has StartFraction 1 Over 45 EndFraction, t, and t times StartFraction 1 Over 45 EndFraction.

15 minutes
18 minutes
38 minutes
75 minutes

Answers

Answer:

the answer is 38 minutes

Answer:

18

Step-by-step explanation:

Find the fraction of Chandler's comic book collection that is made
up of both Arachna-Man and Wonderdog comics. Explain how
you found
your answer.

Answers

im not sure what your asking

Which measure of center best represents the data?

8,8,7,8,8,8,1,8,8

Answers

Answer:

8

Step-by-step explanation:

The median is 8 since 8 is the most common number

The answer is 8 because it’s the most used one there ‍

Square ABCD has an area of 1600. E is the midpoint of AC and Fis the midpoint of AB.
What is the area of the trapezoid BCEF?
O 300 square units
O 1,200 square units
O 600 square units
O 109 square units

Answers

B……….. thank me later.

How to do these questions step by step

Answers

Answer:

Only for question 1

Step-by-step explanation:

The answer is

When numbers with indices are being multiplied together, the indices act as if its being added together whereas if you multiply the indices together then it would multiply them all

Expand and simplify 4(2x-1)+3(2+5)

Answers

Answer:

8x + 17

Step-by-step explanation:

4(2x- 1) + 3(2 + 5)

=4*2x - 4*1 + 3*7

=8x - 4 +21

=8x + 17

What is the formula for the exterior angle measures of a triangle?
A. x + y + z = 180
B. z = x + y

Answers

B is probably the answer to this question

Which option is correct?

Answers

Answer:

Radius : 3 inches

Height : 2 inches

Step-by-step explanation:

[tex]π \times (radius {)}^{2} \times (height)[/tex]

[tex]π \times {3}^{2} \times 2[/tex]

[tex]π \times 9 \times 2[/tex]

[tex]9 \times π \times 2[/tex]

[tex]18\pi[/tex]

Hope it is helpful...

Jo had $5 more than Nate and together
they had $43. How much did Nate have?

Answers

Answer:

$14

Step-by-step explanation:

Let Joe have $x

Then Nate would have $(x-5)

They both have $(x + (x-5)  which is equal to $43

                           $(x + x -5) = $43

                           $2x - $5 = $43

                            $2x = $(43 - 5)

                           $2x = $38

Divide both sides by $2

                               x = 19 (Joe has $19)

:. Nate has $(19 - 5) = $14.

                             

Nate have 24 dollars.

What is equation?

Equation is the defined as mathematical statements that have a minimum of two terms containing variables or numbers is equal

What are Arithmetic operations?

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.

The operator that perform arithmetic operation are called arithmetic operators .

Operators which let do basic mathematical calculation

+ Addition operation : Adds values on either side of the operator.

For example 4 + 2 = 6

- Subtraction operation : Subtracts right hand operand from left hand operand.

for example 4 -2 = 2

* Multiplication operation : Multiplies values on either side of the operator

For example 4*2 = 8

Suppose that Jo has x dollars of amount, and

Nate has y dollars of the amount

Given that Jo had $5 more than Nate and together they had $43

x + 5 = y  ,

x + y = 43,

Substitute the value of y in the equation x + y = 43,

x + 5 + x = 43

2x = 43 - 5

2x = 38

Divide both sides by 2

x = 19

Now substitute the value of y = 19 in the equation x = y +5,

So, y = 19 + 5

y = 24

Hence, Nate have 24 dollars.

Learn more about equation here:

brainly.com/question/10413253

#SPJ2

Hi! can someone help?

Answers

Answer:

129

Step-by-step explanation:

[tex]\frac{5^{4} }{5} +4[/tex]

[tex]\frac{625 }{5} +4[/tex]

[tex]125 +4[/tex]

129

A system of equations is given below. For what value(s) of x is f(x)=g(x) ?

f(x)=x2+3x

g(x)=x+3

Answers

[tex] \large{f(x) = g(x)} \\ \large{ {x}^{2} + 3x = x + 3}[/tex]

Since we are solving the quadratic equation because the highest degree in the equation is second. We arrange in the form of ax²+bx+c = 0.

[tex] \large{ {x}^{2} + 3x - x - 3 = 0}[/tex]

Combine like terms.

[tex] \large{ {x}^{2} + 2x - 3 = 0}[/tex]

Solve the equation by factoring.

[tex] \large{(x + 3)(x - 1) = 0} \\ \large{x = - 3,1}[/tex]

Hence the values of x that make f(x) = g(x) are -3 and 1.

Answer

x = -3,1

Let me know if you have any doubts!

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