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Dave solved a quadratic equation. His work is shown below, with Step 111 missing.
What could Dave have written as the result from Step 111?
\begin{aligned} \dfrac{1}{3}(x+4)^2&=48 \\\\ &&\text{Step }1 \\\\ x+4&=\pm 12&\text{Step }2 \\\\ x=-16&\text{ or }x=8&\text{Step }3 \end{aligned}
3
1
​
(x+4)
2

x+4
x=−16
​

=48
=±12
or x=8
​

Step 1
Step 2
Step 3
​

Choose 1 answer:
Choose 1 answer:

(Choice A)
A
\left(\dfrac{1}{3}x+\dfrac{4}{3}\right)^2=48(
3
1
​
x+
3
4
​
)
2
=48left parenthesis, start fraction, 1, divided by, 3, end fraction, x, plus, start fraction, 4, divided by, 3, end fraction, right parenthesis, squared, equals, 48

(Choice B)
B
\left(\dfrac{1}{3}x\right)^2+\left(\dfrac{4}{3}\right)^2=48(
3
1
​
x)
2
+(
3
4
​
)
2
=48left parenthesis, start fraction, 1, divided by, 3, end fraction, x, right parenthesis, squared, plus, left parenthesis, start fraction, 4, divided by, 3, end fraction, right parenthesis, squared, equals, 48

(Choice C)
C
(x+4)^2=144(x+4)
2
=144left parenthesis, x, plus, 4, right parenthesis, squared, equals, 144

(Choice D)
D
(x+4)^2=16(x+4)
2
=16

Answer:

B:

4 units right and six units up

Answer:

18.3125

18.5635

18 13/16

Step-by-step explanation:

Answer:

8 1/8 units³

Step-by-step explanation:

V = lwh

Since the area is already given to you, just multiply that by the other number.

[tex]V=(16\frac{1}{4})(\frac{1}{2})\\\\V=\frac{65}{8}=8\frac{1}{8}[/tex]

Answer:

The answer would be B if its reffering to the photo and A if its reffering to the scale.

Answer:

1st- thorn forest - forest which have many thorns it is in rajasthan

2nd- evergreen forest - a forest whose trees are green in any season

3rd- Amazon forest - in Amazon forests there are many venomous/ poisonous amphibians and stuff like anacondas and wild animals.

Step-by-step explanation:

so sorry this is all i could find

Answer:

4y

Step-by-step explanation:

product means multiply

4y

Answer:

4y

Step-by-step explanation:

Answer:

4xy exponent 7/2xy exponent 6

Answer:

Step-by-step explanation:

First expand the numerator by distributing in the 2 outside the parenthesis to get

[tex]\frac{16x^6y^4}{2x^6y}[/tex] and now, working on one thing at a time, we will divide:

16     x⁶     y⁴

2      x⁶      y    

I separated each set of like expressions to make it easier to see. First divide the numbers, 16 by 2:

8       x⁶      y⁴

        x⁶      y

the x's cancel out (divide to a 1):

8      y⁴

       y

and by the rules for dividing like bases, we will subtract the exponents, lower from upper to get, finally:

8y³

Answer:

x=3

Step-by-step explanation:

Step 1: you have to replace y with x-6 to make it all one equation (as seen in the picture below)  

Step 2: write it all together so: x-6= -2x+3

Step 3: add 2x on both sides to cancel out the negative so: x+ 2x and -2x+2x

Step 4: add 6 on both sides to cancel out the negative so: -6+ 6 and 3+6

Step 5: divide 3 by 3x and 9 to get x

Answer:

original: 2x4

scale factor: 8

new dimensions:

2x8=16

4x8=32

(To get the new dimensions all you have to do is multiply the sides by the scale factor)

Step-by-step explanation:

The new dimensions of the photograph is [tex]64 \ in^{2}[/tex]

The scale factor is a measure for similar figures, who look the same but have different scales or measures. Suppose, two circle looks similar but they could have varying radii. The scale factor states the scale by which a figure is bigger or smaller than the original figure.

According to the question

[tex]S_{1} =2\times4=8[/tex]

[tex]S_{2} =8S_{1} =8\times8=64[/tex]

The new dimensions of the photograph is [tex]64 \ in^{2}[/tex]

Find out more information about scale factor here

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The following equations could be used to find the price of a child's ticket,  3x + 2(2x) = 28, the correct option is B.

An equation is a mathematical statement formed when two expressions are equated using an equal sign.

The equations are useful in determination of unknown parameters.

The equations are of various types, such as Trigonometric equations, quadratic equations.

The system of equations are used to solve complex problems.

Let the cost of child ticket is $x

An adult ticket is twice the cost of a child's ticket.

Let the cost of adult ticket is $2x

The total amount Angela paid is $28 for two adult tickets and three children's tickets.

The equation that will be formed is

4x + 3x = 28

It can also be written as 3x + 2(2x) = 28.

To know more about Equation

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Answer:

D

Step-by-step explanation:

D is the answer I did the math.

Hope this helps!

Answer:

d

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

30% of 5,000 is 1,500.

Answer:

1. ABO, 2. OCD

Step-by-step explanation:

Since they have the same degrees of angles.

EX: <OA, <BO, <CO, <DO.

(IF I AM NOT RIGHT OR I AM LOSING THE DETAIL WANTED, PLEASE LIST OUT IN THE COMMENT BELOW THE ANSWER AND I WILL CHANGE IT.)

: ) Just to make it look bolder.

Answer:

-3

Step-by-step explanation:

8x+28=12-20-4x

8x+4x=-8-28

12x=-36

x=-3

PLS MARK AS BRAINLIEST

Answer:

2^-1

Step-by-step explanation:

2^2 *2 / 2^4

We know that 2^2 * 2 = 2^2 *2^1

a^b*a*c = a^(b+c)  so 2^2*2*1 = 2^(2+1)+ 2^3

2^3 / 2^4

We know that a^b / a^c = a^(b-c)

2^3 /2^4 = 2^(3-4) =2^-1

The equivalent of the given expression 2² × (2/2⁴) when simplified is; 2⁻¹

We are given the exponents expression;

2² × (2/2⁴)

Let us first multiply out the numerator to get;

2² × 2 = 2³

Thus, our overall expression is;

2³/2⁴

According to laws of exponents;

a^(b)/a^(c) = a^(b-c)

Thus;

2³/2⁴ = 2³⁻⁴

⇒ 2⁻¹

Read more about Exponents at; https://brainly.com/question/11761858

Answer:

3+b=c

Step-by-step explanation:

Answer:

3+b=c

Step-by-step explanation:

Answer:

She can cut 3 pieces of ribbon.

None will be left over.

Answer:Can't see the question

Step-by-step explanation:

Answer:

(5x) - 2 = -12

Step-by-step explanation:

hope that helps

Answer:

-12

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

Answer:

You can check if an equation is true for all some or no values of x by simply to  try and solve the equation if you get something like x = x, then the equation  is true for all, if you get a specific answer like x=3, then it is true to some values, in simple terms. Try and solve the equation there is no other way to check unless you solve, I don't know if there is another way but this is just my intution.  

Step-by-step explanation:

Answer:

111

Step-by-step explanation:

111

Answer:

C

Step-by-step explanation:

Answer:

$116.06

Step-by-step explanation:

48.97 + 67.09 = 116.06

Answer:

$116,06

Step-by-step explanation:

48,97 + 67,09

Answer:

x = 1.4 or -1.4

Step-by-step explanation:

→ Substitute y = 4 into y = x² + 2

4 = x² + 2

→ Minus 2 from both sides

2 = x²

→ Square root both sides

√2 = x

→ Simplify

x = 1.4 or -1.4

Answer:

4(3y+4)

Step-by-step explanation:

12y + 16

4*3*y +4*4

Factor out 4

4(3y+4)

Answer:

2(6y+80) = 12y+160

4(3y+4) = 12y+16

28y = 28y

16+12y = 12y+16 (did not use distributive property)

So,  B is correct.

Let me know if this helps!

Answer:

Sandwiches and hot dogs are almost equally preferred.

Step-by-step explanation:

When looking at the data, the number of students who chose sandwiches and the number of students in which who chose hot dogs is 1 off and so they are almost equally preferred.