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Goryan [66]
3 years ago
13

A teacher asks five different students to write an equation with a solution of x = 4. The students and their equations are shown

below.
Student Adrian Bert Camille Daniel Etsuko Equation 2x + 6 = 2 2x-9 = -1 - 2x + 12 = 4 2(x + 2) = 10 2(x - 10) = -12

Which of the following students correctly wrote an equation with x = 4 as the solution? Select three that apply.

A. Bert
B. Daniel
C. Etsuko
D. Adrian
E. Camille​
Mathematics
1 answer:
tankabanditka [31]3 years ago
6 0

Answer:

I'm assuming the order corresponds the student to the equation. Because of this, the answer is simple:

Bert, Etsuko, and Camille.

Step-by-step explanation:

2x-9=-1, 2x=8, x=4

2(x-10)=-12, x-10=-6, x=4

-2x+12=4, -2x=-8, x=4

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Find the area of a regular octagon with an apothem of 8.45 cm and a side length of 7 cm. (round to the nearest whole number) A)
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Answer:

237

Step-by-step explanation:

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3 years ago
has 4 glass ornaments: blue, orange, pink, and purple. How many ways can she hang them in a row so that the blue and pink orname
Tatiana [17]
There are 3 different ways she can hang them
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after 6 months, $1.78 simple interest was earned on an investment of $890. what was the annual interest rate
umka21 [38]
First you have to double the simple interest to get the amount earned in 1 year. That gives $3.56 earned and a total balance of $893.56
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6 0
3 years ago
Can I get help with this
Hunter-Best [27]

Answer:

The correct option is;

B) -6

Step-by-step explanation:

The given parameters are;

The line of symmetry of f(x) = The line of the reflection of g(x) over the y-axis

f(x) = 3·x² + b·x + c

From the given graph of g(x), we have;

The vertex point of g(x) = (-1, 8)

The line of symmetry is the line x = -1

The image of the reflection of (x, y) over the y-axis is (-x, y)

The image of the vertex of g(x) following a reflection across the y-axis is (1, 8)

Therefore;

The line of symmetry of the image of g(x) following a reflection over the x-axis is the line x = 1

The line (axis) of symmetry of a quadratic function is the line x = -b/(2·a), which is a line that always go through the vertex of the parabola

Where;

a = The coefficient of x²

b = The coefficient of 'x'

For f(x) = 3·x² + b·x + c, a = 3, and b = b

Given that f(x) and the image of g(x) have the same line of symmetry, we have;

The line of symmetry of f(x) is x = 1

Therefore, from the formula for the line of symmetry, we have;

x = -b/(2·a)

x = 1

By substitution, we have;

1 =  -b/(2·a)

∴ -2·a = b

Given that a = 3, we get;

-2 × 3 = -6 = b

b = -6

3 0
3 years ago
The rectangle below has an area of 70y⁸ 30y⁶. The width of the rectangle is equal to the greatest common monomial factor of 70y⁸
Lorico [155]

Answer:

The Width of the Rectangle =10y^6

\text{Length of the Rectangle}=210y^8

Step-by-step explanation:

The area of the rectangle =70y^8 30y^6.

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Let us determine the greatest common monomial factor of 70y^8 \: and\: 30y^6.

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The Width of the Rectangle =10y^6

Recall: Area of a Rectangle =Length X Width

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3 years ago
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