4. Elias was asked to solve a quadratic equation by factoring and his work is shown below. Circle the letter of the step where he has made an error. Then redo the work correctly from that point, using the shaded space. 4 points possible Given x2 – 12x = -20
Аx2 - 12x + 20 = 0
B(x - 4)(x – 5) = 0
С x-4 = 0 OR x-4 = 0
D x = 4 or x = 5 ​

Answers

Answer 1

Answer:

(B) (x - 4)(x – 5) = 0

Step-by-step explanation:

He made a mistake at step 2.

(x - 4)(x - 5) = 0 is incorrect as

it is same as x² - 9x + 20 = 0

It should be:

(x - 10)(x - 2) = 0 with the end result x = 10 or x = 2

Answer 2

Let's solve

[tex]\\ \sf\longmapsto x^2-12x=-20[/tex]

[tex]\\ \sf\longmapsto x^2-12x+20=0[/tex]

[tex]\\ \sf\longmapsto x^2-10x-2x+20=0[/tex]

[tex]\\ \sf\longmapsto x(x-10)-2(x-20)=0[/tex]

[tex]\\ \sf\longmapsto (x-10)(x-2)=0[/tex]

[tex]\\ \sf\longmapsto x=10\:or x=2[/tex]

Option B


Related Questions

is parallelogram a kite?

Answers

Answer:

Kites are a special type of quadrilateral with two distinct pairs of consecutive sides the same length. ... Similarly, every kite is not a parallelogram, because the opposite sides of a kite are not necessarily parallel.

Answer:

No

Step-by-step explanation:

All parallelograms are not a kite.

A kite is a quadrilateral with two disjoint pairs ( no side is in both pairs ) of equal-length, adjacent ( sharing a vertex ) sides. A parallelogram also has two pairs of equal-length sides, however they must be opposite, as opposed to adjacent.

( See the attached image )

Someone pls help me with this I will make you brain




A fisherman’s product is modeled by function f(x), where f(x) is the number of fish caught per outing and x is the number of people fishing on the boat. Choose the ordered pair that represents a possible domain and range of the function

Answers

(22, 65) represents the A possible domain and range of F(x)

Answer: B

Step-by-step explanation: It was right on my test

6 x ( 7 x 3 - 3^2) - 6
help me pleasee

Answers

Answer:

I think 66 is correct answer

Answer:

66

Step-by-step explanation:

Thank You! Please thank me. Also I answered your question "what is input/output of TV"

which of the expressions are in simplified form​

Answers

Answer: number 1

Step-by-step explanation:

number 1

Each graph shows two polygons ABCD and A'B'C'D'. In each case, describe a sequence of transformations that takes `ABCD` to `A'B'C'D'.`

Answers

a. Reflected across the y-axis and translated one unit down

B. Rotated 90 degrees clockwise

Ratios, Rates, and Circles Solve each problem. Show your work. Sierra has a pet Burmese python. It has grown too large for its enclosure and needs a new one. The rectangular base of the current enclosure has the length and width shown. Sierra decides to buy a larger enclosure that is a scale copy of the small one. The base of the new enclosure is 48 inches long. What is the perimeter of the new base?​

Answers

Answer:

144in

Step-by-step explanation:

METHOD 1:

18 - 36

x - 48

36x = 18 * 48

36x = 864

x = 24

ALTERNATIVE METHOD:

18:36 (breadth:length)

1:2

When the length is 48in, the breadth is half the length, hence, the breadth is 24in.

Final Solution:

So, when the base is 48in, the width is 24in.

Since we have the two values

P = 2(l+b)

= 2(48+24)

= 2 * 72

= 144in

Feel free to mark this as brainliest! :D

Find the value of 5w+1 given that 7w-7=7.

Answers

Answer:

lets find the exact value of w

7w - 7 = 7

+7        +7

7w = 14

/7     /7

w = 2

Now let's replace w with 2

5(2) + 1 = 11

If Ashley deposits $8000 into an account paying 7% annual interest compounded quarterly, how long until there is $12400 in the account?

Answers

i have no idea AAAAAAAAAAAAAAA

If you deposit $8000 into an account paying 7% annual interest compounded quarterly, how long until there is $12400 in the account?

The formula for deducing Compounded Annual Growth rate, CAGR = {( EV / SV)^1 / n} - 1

where:

EV = Investment's ending value

SV = Investment's starting value

n = Number of investment periods (months, years, etc.)

If you rearrange the formula for deducing the time period required.

SV = $8000

EV= $12400

Total appreciation = (EV-SV)*100%/SV = 64.52%.

At CAGR of 7%, the time required for any value to appreciate 64.52% is 6 years and 6 months

Step-by-step explanation:

mark me brainly have a great day!!!!

Hi :)
Complex fractions is a new subject for me, so I'd appreciate it if you could help me out with an explanation on how to get the answers. Thank you! Also, there are actually 8 questions, but I didn't want to burden you with too many of them, so I'll make a part two ^^

1. 10/8/9 ?/? ÷ ?/? → ?/? ÷ ?/? → ?/? ÷ (simplify) ?/? → ?/?
2. 5 7/5 ?/? ÷ ?/? → ?/? ÷ ?/? → ?/? ÷ (simplify) ?/? → ?/?
3. 2/5/4 ?/? ÷ ?/? → ?/? ÷ ?/? → ?/? ÷ (simplify) ?/? → ?/?




*if you don't understand this or if you don't know the answers, please don't answer, I genuinely need help*

Answers

Answer: sorry for the long answer just skip if you dont wanna read it all but the last one was hard for me sorry if wrong

1. STEP

1

:

           8

Simplify   —

           9

Equation at the end of step

1

:

       8

 10 -  —

       9

STEP

2

:

Rewriting the whole as an Equivalent Fraction

2.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  9  as the denominator :

          10     10 • 9

    10 =  ——  =  ——————

          1        9  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

10 • 9 - (8)     82

————————————  =  ——

     9           9

Final result :

 82          

 —— = 9.11111

 9            

2.Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    x/5-7-(5)=0

Step by step solution :

STEP

1

:

           x

Simplify   —

           5

Equation at the end of step

1

:

  x          

 (— -  7) -  5  = 0

  5          

STEP

2

:

Rewriting the whole as an Equivalent Fraction

2.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  5  as the denominator :

        7     7 • 5

   7 =  —  =  —————

        1       5  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

x - (7 • 5)     x - 35

———————————  =  ——————

     5            5  

Equation at the end of step

2

:

 (x - 35)    

 ———————— -  5  = 0

    5        

STEP

3

:

Rewriting the whole as an Equivalent Fraction :

3.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  5  as the denominator :

        5     5 • 5

   5 =  —  =  —————

        1       5  

Adding fractions that have a common denominator :

3.2       Adding up the two equivalent fractions

(x-35) - (5 • 5)     x - 60

————————————————  =  ——————

       5               5  

Equation at the end of step

3

:

 x - 60

 ——————  = 0

   5  

STEP

4

:

When a fraction equals zero :

4.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 x-60

 ———— • 5 = 0 • 5

  5  

Now, on the left hand side, the  5  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  x-60  = 0

Solving a Single Variable Equation:

4.2      Solve  :    x-60 = 0

Add  60  to both sides of the equation :

                     x = 60

3.Find the Least Common Denominator (LCD) of \frac{2}{5},\frac{3}{4}

5

2

,

4

3

. In other words, find the Least Common Multiple (LCM) of 5,45,4.

LCD = 2020

2 Make the denominators the same as the LCD.

\frac{2\times 4}{5\times 4}+\frac{3\times 5}{4\times 5}

5×4

2×4

+

4×5

3×5

3 Simplify. Denominators are now the same.

\frac{8}{20}+\frac{15}{20}

20

8

+

20

15

4 Join the denominators.

\frac{8+15}{20}

20

8+15

5 Simplify.

\frac{23}{20}

20

23

6 Convert to mixed fraction.

1\frac{3}{20}

1

20

3

The measures of the angles of a triangle are shown in the figure below. Solve for X.
75°
(7X+14)
49°

Answers

Answer:

Answer:x =6

Answer:x =6Step-by-step explanation:

Angle in a triangle is 180

75+ (7x+14) +49 =180

75+ 49+ (7x+14)= 180

124+ (7x+ 14) = 180

124+ 14 +7x= 180

138+7x = 180

7x =180- 138

7x=42

x= 6

The first side of a triangle is 4m shorter than the second side. The third side 3 times as long as the first side. The perimeter is 24m. Find the length of each side

Answers

Answer:

1st side= 4m

2nd side= 8m

3rd side= 12m

Step-by-step explanation:

Let the first, second and third side of the triangle be a, b and c meters respectively.

a= b -4 -----(1)

c= 3a -----(2)

Perimeter of triangle

= a +b +c

= 24

a +b +c= 24 -----(3)

From (1): b= a +4 -----(4)

Subst. (2) and (4) into (3):

a +(a +4) +3a= 24

3a +a +a +4= 24

5a +4= 24

5a= 24 -4

5a= 20

Divide both sides by 5:

a= 20 ÷5

a= 4

Substitute a= 4 into (4):

b= 4 +4

b= 8

Substitute a= 4 into (2):

c= 3(4)

c= 12

Thus, the lengths of the first, second, and third side of the triangle are 4m, 8m and 12m respectively.

Can y’all help me with this one too

Answers

Answer:

8 mm

Step-by-step explanation:

the total length of the rod is 330, it's asking how many individual Rods cut at the length 41 1/4 which in decimal form is 41.25,, 330/41.25 = 8. anytime a question asks you how many of something can be obtained at a length just divide from total !

There is a competition at the local movie theater for free movie tickets

Answers

Answer:

ok

ok

Step-by-step explanation:

thanks

thank

thanks

HELP ASAP ...........

Answers

Answer:

A

Step-by-step explanation:

Given

y - 2x - 8 = 0 ( add 2x + 8 to both sides )

y = 2x + 8 → (1)

y² + 8x = 0 → (2)

Substitute y = 2x + 8 into (2)

(2x + 8)² + 8x = 0 ← expand left side using FOIL and simplify

4x² + 32x + 64 + 8x = 0

4x² + 40x + 64 = 0 ( divide through by 4 )

x² + 10x + 16 = 0 ← in standard form

(x + 8)(x + 2) = 0 ← in factored form

x + 8 = 0 ⇒ x = - 8

x + 2 = 0 ⇒ x = - 2

Substitute these values into (1) for corresponding values of y

x = - 8 : y = 2(- 8) + 8 = - 16 + 8 = - 8 ⇒ P (- 8, - 8)

x = - 2 : y = 2(- 2) + 8 = - 4 + 8 = 4 ⇒ Q (- 2, 4 )

Calculate the length of PQ using the distance formula

PQ = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = P (- 8, - 8) and (x₂, y₂ ) = Q (- 2, 4 )

PQ = [tex]\sqrt{(-2-(-8))^2+(4-(-8))^2}[/tex]

      = [tex]\sqrt{(-2+8)^2+(4+8)^2}[/tex]

       = [tex]\sqrt{6^2+12^2}[/tex]

       = [tex]\sqrt{36+144}[/tex]

       = [tex]\sqrt{180}[/tex]

       = [tex]\sqrt{36(5)}[/tex]

       = [tex]\sqrt{36}[/tex] × [tex]\sqrt{5}[/tex]

        = 6[tex]\sqrt{5}[/tex] → A

3
8)
2 7 .1 .5 .3 .9
3 '8'5'8'4 '10
Prefer it from least to greatest

Answers

Answer:

shenf dhd

Step-by-step explanation:

rhrbrutb hnjngb bdjdhdhdgdg jdjdurbervy

(a) Using Geometry Vocabulary, describe a sequence of transformations that maps figure A onto figure B.

(b) Write the Transformation Mapping Rule(s) for the sequence you described in part (a).

Answers

It rotated 90 degrees to the right and transformed down and to the right

Love help :)
If
f(x) = 2x + 1
and
g(x) = x - 3

f(g(x)) = 2x + ????

Answers

Answer:

f(g(x)) = 2x - 5

Step-by-step explanation:

Given:

f(x) = 2x + 1

and

g(x) = x - 3

Find the composite function f(g(x)), substitute g(x) with its value:

f(g(x)) = f(x - 3) = 2(x - 3) + 1 = 2x - 6 + 1 = 2x - 5

Answer:

It is given

4x+3y=24

We can also write it as

3y=24−4x

 y=324−4x

Substituting x=0 in the given equation

 y=324−4(0)

 So we get 

 y=324

 By division 

 y=8 

 Substituting x=3 in the given equation 

 y=324−4(3)

 So we get

 y=312

 BY division 

 y=4

can someone help me please

Answers

Answer:

[tex] \sqrt[3]{ - 343} = - 7[/tex]

I hope I helped you^_^

Answer:

-7

Step-by-step explanation:

[tex] \sqrt[3]{ - 343} [/tex]

is the same as, let say we have a value a.

[tex]a \times a \times a = - 343[/tex]

We know a negative multipled 3 times is negative so our answer is a negative.

a cube root of 343 is 7 so the cube root of -343 is -7.

[tex] - 7[/tex]

[tex] - 7 \times - 7 \times - 7 = - 343[/tex]

round to the nearest hundredth if necessary $4.99 for 13 lb

Answers

Answer:2.81

Step-by-step explanation:

a local hamburger shop sold a combined total of 677 hamburgers and cheeseburgers on Friday. There were 73 fewer cheeseburgers sold than hamburgers. How many hamburgers were sold on Friday?​

Answers

Answer:604

Step-by-step explanation: its easy

677-73

May I please receive help?

Answers

Answer:

[tex]\frac{4}{9}[/tex]

[tex]-\frac{9}{4}[/tex]

Step-by-step explanation:

First, solve the equation for y to find the slope of the original line. When you solve for y you get [tex]y=-\frac{9}{4}x+2[/tex]. Since the coefficient of x in slope-intercept form is the slope, -9/4 is the slope of this line.

Perpendicular lines have the opposite slope, so if the slope is a/b then the perpendicular slope is -b/a. Since the slope is -9/4, the perpendicular slope is 4/9.

Parallel lines have the same slope. So, the slope is the exact same, -9/4.

An investment firm invested in two companies last year. They invested \$7000 in Company A and made a profit of 13%. They invested \$13,000 in Company B and made a profit of 18%. Answer the questions below. Do not do any rounding . (a) What was the investment firm's total profit? (b) What was the percent profit for their total investment?

Answers

Answer:

a) $3250

b) 31%

Step-by-step explanation:

a) 910 + 2340 = $3250

b) 18 + 13% = 31%

.................................................

Answers

Answer: …………..

Step-by-step explanation:

……………..

3. what equation passes through the 2 points
(0, 4) and (9, 10)​

Answers

y2-y1
____ = slope

x2 - x 1




10-4
—— = 6/9 = 2/3
9-0

10 = 2/3 (9) + b
10 = 6 + b
b = 4

put it all together!

y=2/3x + 4

The price of a pair of shoes was reduced from $20 to $14
By what percentage was the price of the shoes reduced?
A. 6%
B. 70%
C. 43%
D. 30%
PLEASE HELP AND HURRY

Answers

Answer:

6%

Step-by-step explanation:

step by step

$20 to $14

we subtract

20-14

=6

Answer:D.30%

Step-by-step explanation:

There are 1,523 students at Eden Elementary School, 1,471 students at Logan Elementary School, and 2,697
students at Thomas Elementary School. About how many students are there at the schools altogether?
3,000 students
4,000 students
5,000 students
6,000 students

Answers

Answer:

6000 students

Step-by-step explanation:

Since the added value of the total number of students would be 5691, so if you wound up, it would be around 6,000

Answer:3,000 students

Step-by-step explanation:

10, 17, 24, 31, 38
First term:
Common difference:

Answers

Answer:

7

Step-by-step explanation:

because if you add 10+7 17 17+7=24

First term: 10
Common difference: 7
17-10 = 7 24-17 = 7 so the common difference is 7

What's the slope of this line?

Answers

my bad i read it wrong hold up

The slope should be -4/3

find the missing angle measures.


Y = 63

Z = ?

X = ?

Can someone tell me the answer to this please

Answers

Ghybbhjjjjjjjjjjjjjjjjjjjjjjhv bhbvcffttyiiokmmlo

how to solve

-3(m-2)= -9

Answers

Answer:

-3m+6=9

Step-by-step explanation:

-3m=3

Divide by -3

m=-1

Answer:

5

Step-by-step explanation:

expand: -3m - -6 = -9

-9 + -6 = -15

-3m = -15

-15 / -3 = 5

m = 5

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