Select the correct answer from each drop-down menu.
Three students used factoring to solve a quadratic equation.
x²+17x+72=12.

Jordan's Solution x² + 17x + 72 = 12, (x + 8)(x + 9)= 12, x+8=12 & x+9=12

Keith's Solution x² + 17x + 72 =12, x² + 17x +60 =0, (x +5)(x +12) =0 x + 5 = 0 & x + 12 =0.

Randall's Solution x² +17x +72 = 12,x2 +17x = -60,x(x +17) = -60, -60 & x +17 = -60.

he equation was solved correctly by ____. The solutions of the equation are____.

Answers

Answer 1

Answer:

Keith's Solution-5-12

Step-by-step explanation:

x + 5 =0 & x + 12 =0

:- x = -5 & -12


Related Questions

Joe's bathroom floor is 7 feet wide and 4 feet long. He will cover the floor with 4-inch square tiles. How many tiles does Joe need? A 7 B 252 С 680 D 1008​

Answers

Answer:

The answer will be 7 tiles.

Step-by-step explanation:

Firstly,you need to find the area of the bathroom floor.

Area of bathroom floor is =length×breadth

which is the formula for a rectangular floor

A=4×7

A=28cm squares.

Then to find how many tiles Joe needs=A÷4-inch square tile

=28÷4

=7 tiles.

I'll mark as Brainliest, Please answer ASAP, Ihave MCAS tomorrow. How could this be true?? Please Explain.​

Answers

Answer:

See below

Step-by-step explanation:

The number of loaves of bread remaining can only go as low as ZERO (you can't have negative loaves) ...and can only go as high as when h = 0

     so    0 = 42-3.5 h    

             3.5 h = 42

                h = 12       and   min is  h = 0   ( when there are 42 loaves to start)

So:

0≤ h ≤ 12

what is area and circumference of the circle if diameter is 30​

Answers

Solution, Diameter = 30[tex]radius = \frac{diameter}{2} = \frac{30}{2} = 15 \\ [/tex]

Now, []area = \pi {r}^{2} [/tex][tex] = 3.14 \times 15 \times 15[/tex][tex] = 706.5 [/tex]Hence the area is 706.5now........[tex]circumference = 2 \: \pi\: r[/tex][tex] = 2 \times 3.14 \times 15[/tex][tex] = 94.2[/tex]hence the answer is 94.2...

Solution,

Diameter = 30

[tex]radius = \frac{diameter}{2} = \frac{30}{2} = 15 \\ [/tex]

Now,

[tex]area = \pi {r}^{2} [/tex]

[tex] = 3.14 \times 15 \times 15[/tex]

[tex] = 706.5 [/tex]

Hence the area is 706.5

now........

[tex]=Circumference = 2 \: \pi\: r[/tex]

[tex] = 2 \times 3.14 \times 15[/tex]

[tex] = 94.2[/tex]

hence the answer is 94.2...

A.
coke corporation paid larry $550 every 3 months (quarterly payment) for the dividends on 500
shares invested in the company. the current stock price is $600 per share.
how much did he make in dividends for the year?
b. what was the quarterly dividend per share?
c. what was the annual dividend per share?
d. what was the dividend yield (percent)?

Answers

Answer:

i think its b sorry if im wrong

Step-by-step explanation:

Find the perimeter of the shaded region. Round your answer to the nearest hundredth

Answers

Answer:

38 units

Step-by-step explanation:

13+13=26

6+6=12

26+12=38

Determine why the triangles are congruent. Choose from SSS, SAS, ASA, AAS, and HL. If the triangles are not congruent type NC.(Use all capitals in your answer)

Answers

Answer:

Step-by-step explanation:

central angle is a right angle. Find x.

Answers

Answer:

It's 90° degrees .

Explanation :

A right angle meseaures correct 90° degrees .

Brett owns 236 shares of animite energy co., each of which offers a yearly dividend of $3.59. how much money does brett receive from dividends every year? a. $1,038.85 b. $1,529.59 c. $657.58 d. $847.24

Answers

The total amount of money that Brett receives from dividends every year is $847.24.

What is the total amount of money received from dividends?

Dividends are payments made to the shareholders of a public company from the income of a company in a particular period.

Total dividends = dividend per share x total shares owned

236 x 3.59 = $847.24

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Answer:

Step-by-step explanation:

847.24

Question 8(Multiple Choice Worth 3 points)
(07.06 LC)
Given a polynomial f(x), if (x - 4) is a factor, what else must be true?
Of(0) = 4

F(0)=4
F(0)= -4
F(4)=0
F(-4)=0

Answers

Answer: C) F(4) = 0

Detailed Explanation:

A zero/root of a polynomial is a value of the variable which makes the value of the polynomial to 0.

Therefore, when (x - 4) is a Factor :-
=> x - 4 = 0
=> x = 4

=> x = 4 is the Zero of the Polynomial.

Which expression are equivalent to the one below? 4^3 * 4^x

Answers

Step-by-step explanation:

[tex] = {4}^{3} \times {4}^{x} [/tex]

[tex] = {4}^{3 + x} [/tex]

[tex] = {4}^{x + 3} [/tex]

What are the characteristics of the function f(x) = 2(x-4)5?
O A. It is a reflection and a translation to the right of the parent
function.
O B. Both ends of the graph of the function go up.
I C. The left end of the graph of the function goes down, and the right
end goes up.
O D. It has 4 zeros and at most 5 relative maximums or minimums.
E. It has 5 zeros and at most 4 relative maximums or minimums.
OF. It is a vertical stretch and a translation to the right of the parent
function.

Answers

Answer:

Step-by-step explanation:

Answer: Options F, E, C.

Given : function f(x)=2(x-4)^5.

To find : What are the characteristics of the function .

Solution : We have given that f(x)=2(x - 4)^5.

By the End Point behavior : if the degree is even and leading coefficient is odd of polynomial of function then left end of graph goes down and right goes up.

Since , Option F is correct.

It has degree 5 therefore, function has 5 zeros and atmost 4 maximua or minimum.

Option E is also correct.

By transformation rule it is vertical stretch and shift to right (B )

Therefore, Option F , E , C are characteristics of the function .

What is the solution for x in the equation?
-2x+14+10x=34
A. x=5/2
B. x=2/5
C. x=1/8
D. x=6

Answers

Answer: A) x = 5/2

Step-by-Step Explanation:

=> -2x + 14 + 10x = 34
= -2x + 10x = 34 - 14 = 20
= 8x = 20
=> x = 20/8 = 5/2

Therefore, x = 5/2

in the figure, line segment AB, is tangent to the circle at point A

Answers

Answer:

AB = 12 in

Step-by-step explanation:

given a tangent and a secant from an external point to the circle, then the square of the measure of the tangent is equal to the product of the measures of the secant's external part and the entire secant, that is

AB² = BC × BD = 8 × 18 = 144 ( take square root of both sides )

AB = [tex]\sqrt{144}[/tex] = 12

Answer:

AB = 12 in

Step-by-step explanation:

Theorem

When a secant segment and a tangent segment meet at an exterior point, the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment.

Secant: a straight line that intersects a circle at two points.

Tangent: a straight line that touches a circle at only one point.

Given:

Secant segment = BDExternal secant segment = BCTangent segment = AB

[tex]\sf AB^2=BD \cdot BC[/tex]

[tex]\implies \sf AB^2=(8+10) \cdot 8[/tex]

[tex]\implies \sf AB^2=18 \cdot 8[/tex]

[tex]\implies \sf AB^2=144[/tex]

[tex]\implies \sf AB=\pm\sqrt{144}[/tex]

[tex]\implies \sf AB=\pm 12[/tex]

As distance is positive, AB = 12 in

4) The radius of a circle is 9 feet. What is the circle's area?
r=9 ft
4) Use 3.14 for л.
square feet

Answers

Answer:

254.34 square feet

Step-by-step explanation:

Area of a circle: πr²

Given:

π = 3.14r (radius) = 9 ft

Substitute the given values into the formula:

A = (3.14)(9)²

A = (3.14)(81)

A = 254.34 ft²

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What is the quotient? startfraction n 3 over 2 n minus 6 endfraction divided by startfraction n 3 over 3 n minus 9 endfraction

Answers

The quotient of the fraction n³ / (2n - 6) ÷ n³ / (3n - 9) is 2/3

How to solve fraction

n³ / (2n - 6) ÷ n³ / (3n - 9)

multiply by the reciprocal of n³ / (3n - 9)

= n³ / (2n - 6) × 1 / n³ / (3n - 9)

= 2n - 6 / 3n - 9

= 2(n - 3) / 3(n - 3)

= 2/3

Therefore, quotient of the fraction n³ / (2n - 6) ÷ n³ / (3n - 9) is 2/3

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Answer:

2/3

Step-by-step explanation:

Find the area of the isosceles triangles with side lengths 16 meters, 17 meters, and 17 meters.

Answers

Answer:

120 meters

Step-by-step explanation:

The triangle area using Heron's formula

Heron's formula gives the area of a triangle when the length of all three sides is known. There is no need to calculate angles or other distances in the triangle first. Heron's formula works equally well in all cases and types of triangles.

[tex]T=\sqrt{s(s-a)(s-b)(s-c)} \\[/tex]

[tex]T=\sqrt{25(25-17)(25-17)(25-16)}[/tex]

[tex]T=\sqrt{14400} =120[/tex]

A textbook has 428 numbered pages, starting with 1.



A textbook has 428 numbered pages, starting with 1. You are equally likely to stop on any of the pages if you flip through the book randomly.

What is the probability that you turn to page 45?

Answers

Answer:

1/428 or 0.00233644859% chance

Step-by-step explanation:

Simply because there is only one page 45 use 428 as your denominator and then divide 1 by 428!

Answer: 1/428

Step-by-step explanation: There are 428 pages so that is the denominator. 45 is only one page so 1 is the numerator. Therefore it is a 1 in 428 chance that you would land on 45. Hope this helped!

Nico is planting grass in his backyard. He is using 1 foot grass squares and has to cover an area that is 24 feet long and 20 feet wide. How many 1 foot squares does Nico need

Answers

Answer:

480 tiles

Step-by-step explanation:

First we will find the area of Nico's backyard

Formula for area of a rectangle is length * width

24ft * 20ft = 480ft²

This means Nico will need 480 1ft² tiles

That is your answer

- Kan Academy Advance

Which of the following ordered pairs are y-intercepts? Check all that apply.
(4, 0)
(–1, 1)
(0, 0)
(0, –7)
(–2, –2)
(0, –0.25)

.

Answers

(0,0) , (0,-7), (0,-0.25)

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

[tex]\diamond\large\textsf{\textbf{\underline{\underline{Question:-}}}}\diamond[/tex]

       Which of the following ordered pairs are y-intercepts?

[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and How to solve:-}}}}\diamond[/tex]

All y-intercepts have an x-coordinate of 0.

So a y-intercept looks like this:-

[tex]\sf{(0,b)}[/tex]

Where:-

        b - y-intercept

So we conclude that the right options are:-

[tex]\square\!\!\!\!\!\Large\checkmark[/tex] (0,0)

[tex]\square\!\!\!\!\!\Large\checkmark[/tex] (0, -7)

[tex]\square\!\!\!\!\!\Large\checkmark[/tex] (0, -0.25)

Good luck.

         

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

Is the vertex of the graph a maximum or a minimum?

Answers

Answer:

maximum

Step-by-step explanation:

Concepts

The vertex of a graph represents the turning point in a parabola.

Example: The graph shown in your question first steadily increases, but then at the point (1,3), it begins to go down. The point (1,3) is called the vertex in this case because it symbolizes the turning point.

Application

We are asked to determine if the vertex of this graph is a maximum or minimum. If the vertex is maximum, it's the highest point on the graph. If it's the minimum, it's the lowest point on the graph. Using your stunning eyes, you can see that the vertex is the highest point on the graph, making the answer maximum.

HURRY UP (100) POINTS PLS HURRY (10 MINS LEFT)
Translate the following equation into words: 5c - 4 = 11 Five, times a number minus four, is eleven. A number, times five minus four, is eleven. Five times a number, subtracted from four, is eleven. Four less than the product of five and a number, is eleven.

Answers

Answer:

Four less than the product of five and a number, is eleven.

Step-by-step explanation:

"The product of five and a number":  5c

"Four less than":  - 4

"is eleven":  = 11

"Four less than the product of five and a number is eleven":  

5c - 4 = 11

Four less than the product of five and a number is eleven

No is c

Product of 5 and c is 5c

4 less than it means 5c-4

The result is 11

So expression is 5c-4=11

The first buses to X and Y leave a bus station at 7 am
Buses to X leave every 25 minutes.
Buses to Y leave every 20 minutes.
When will the buses to X and Y next leave at the same time

Answers

The lowest common multiple of 25 and 20 is 100
The next time the buses leave at the same time is 100 minutes after 7 am which is 8:40 am

The time at which the buses will leave at the same time is 8:40 am.

What is a factor?

A factor is a number that divides another number, leaving no remainder

Example: 3 x 2 = 6

2 is a factor of 3.

We have,

Buses:

X leaves every 25 minutes.

Y leaves every 20 minutes.

We need to find the least common multiples of 25 and 20.

25 x 4 = 100

20 x 5 = 100

100 is our least common multiple of 25 and 20.

We see that,

4 is a factor of 24 which gives 100.

This means after 4 times, bus X will leave with bus Y at the same time.

5 is a factor of 20 which gives 100.

This means after 5 times, bus Y will leave with bus X at the same time.

The first buses to X and Y leave a bus station at 7 am.

After 100 minutes, buses X and Y will leave at the same time.

= 7am + 100 minutes

= 7 + 60 minutes + 40 minutes

= 7 + 1 hour + 40 minutes

= 8:40 am

Thus,

The time at which the buses will leave at the same time is 8:40 am.

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Find the area of the triangle​

Answers

A = B x H
Enter the numbers
A=6x8
A=48/2
A= 24cm squared
Hope that’s correct.

this composite figure is made up of three similar shapes. what is the area of the figure?

Answers

Answer:

D : 66

Step-by-step explanation:

separate the composite figure into 3 different shapes then multiple then find the area of them all. after this just add them and you're good to go

also to get the area of a triangle you gotta add both sides then divide by 2.

Need answers for this

Answers

Answer:

Step-by-step explanation:

Mean, Median,mode

   [tex]\boxed{Mean = \dfrac{Sum \ of \ all \ data}{number \ of data}}[/tex]

              [tex]\sf = \dfrac{234 + 247 + 236+212+248+243+176+195}{8}\\\\= \dfrac{1791}{8}\\\\= 223.875[/tex]

Median:

Arrange the numbers in ascending order.

  176 , 195 , 212 , 234 , 236 , 243 , 247, 248  

Number of data is even. So, median will be the average of 234 and 236

Median = average of the middle two terms.

            [tex]\sf = \dfrac{234+236}{2}\\\\ =\dfrac{470}{2}\\\\= 235[/tex]

Mode is the data which is occurring more number of times.

Range = maximum - minimum

           = 248 - 176

            = 72

       

help me out pls 5 stars
Which expression is equivalent to (x – 2) – (5x + 2)?

A.
–4x – 4

B.
–4x – 2

C.
6x + 4

D.
6x

Answers

A. -4x - 4

because (x-2) - (5x+2), is x-5x -2-2 which is -4x -4

In the diagram, triangle A B C and triangle C D A are congruent. What is the length of segment A D?

Answers

Answer:

Theres no picture but is it the square root of 33?

Step-by-step explanation:

the question is “how much does a package of corn cost” but the amount next to it is 2/189. can someone help lol

Answers

Answer:

I'm assuming it's sayin that u get 2 for 1.89?

2 interior angles of a triangle me 50 degrees and 60 degrees , what is the measure of the third interior angle of the tringle?

Answers

Answer: 70 degrees

Step-by-Step Explanation:

Let the third interior angle be ‘x’

By Angle Sum Property, the Sum of all Angles in a Triangle is 180 degrees.

Therefore,
x + 50 + 60 = 180
x + 50 = 180 - 60 = 120
=> x = 120 - 50 = 70

Therefore, x = 70 and the third interior angle is 70 degrees.

Which expression is equivalent to (startfraction (3 x y superscript negative 5 baseline) cubed over (x superscript negative 2 baseline y squared) superscript negative 4 baseline) endfraction) superscript negative 2? assume startfraction x superscript 10 baseline y superscript 14 baseline over 729 endfraction.

Answers

The equivalent expression of [tex](\frac{(3xy^{-5})^3}{(x^{-2} y^2) ^{-4}})^{-2}[/tex] is [tex]\frac{x^{10} y^{14}}{729}[/tex]

How to determine the equivalent expression?

The expression is given as:

[tex](\frac{(3xy^{-5})^3}{(x^{-2} y^2) ^{-4}})^{-2[/tex]

Expand the expression

[tex](\frac{(3xy^{-5})^3}{(x^{-2} y^2) ^{-4}})^{-2} = (\frac{27x^3y^{-15}}{(x^{8} y^{-8}})^{-2[/tex]

Apply the law of indices

[tex](\frac{(3xy^{-5})^3}{(x^{-2} y^2) ^{-4}})^{-2} = (\frac{27}{(x^{5} y^{7}})^{-2[/tex]

Take the inverse of the expression

[tex](\frac{(3xy^{-5})^3}{(x^{-2} y^2) ^{-4}})^{-2} = (\frac{x^{5} y^{7}}{27})^2[/tex]

Apply the square exponent to the expression

[tex](\frac{(3xy^{-5})^3}{(x^{-2} y^2) ^{-4}})^{-2} = \frac{x^{10} y^{14}}{729}[/tex]

Hence, the equivalent expression of [tex](\frac{(3xy^{-5})^3}{(x^{-2} y^2) ^{-4}})^{-2}[/tex] is [tex]\frac{x^{10} y^{14}}{729}[/tex]

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Answer:A edge 2023

Step-by-step explanation:

Just did it and got it right

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