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3 years ago

Use the drop-down menus to complete each equation so the statement about its solution is true.

Mathematics

2 answers:

fiasKO [112]3 years ago

6 0

The answer to the question is 7x+5

zalisa [80]3 years ago

5 0

Answer:

7x+5

Step-by-step explanation:

2x+5+2x+3x

=2x+2x+3x+5

=7x+5

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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

Factorise completely<br> 12y² + 4y

otez555 [7]

Step-by-step explanation:

$12y^{2} + 4y \\4y( \frac{12y^{2} }{4y} + \frac{4y}{4y} ) \\ 4y(3y + 1)$

8 0

2 years ago

Read 2 more answers

What is the ratio for sine

Sphinxa [80]

Answer:

Blank 1: opposite

Blank 2: adjacent

Blank 3: opposite

Blank 4: adjacent

Step-by-step explanation:

There is a trigonometric acronym for this which is:

Soh Cah Toa

Soh means that sine is opposite over hypotenuse.

Cah means that cosine is adjacent over hypotenuse.

Toa means that tangent is opposite over adjacent.

Let me actually write these out as fractions:

sine is $\frac{\text{opposite}}{\text{hypotenuse}}$

cosine is $\frac{\text{adjacent}}{\text{hypotenuse}}$

tangent is $\frac{\text{opposite}}{\text{adjacent}}$

Blank 1: opposite

Blank 2: adjacent

Blank 3: opposite

Blank 4: adjacent

4 0

3 years ago

Which is a factor of each term of the polynomial?<br><br> (3d2 – 10d)

nydimaria [60]

Answer:

d(3d-10)

Step-by-step explanation:

You pull out the common factor of d from both terms, and group the remaining terms inside a parenthesis.

8 0

3 years ago

Two vertices of a right triangle have coordinates (3, 7) and (3, 10) . The segment that connects these points is a leg of the tr

vesna_86 [32]

(7,8) I think is the answer your looking for

3 0

3 years ago

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