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3 years ago

How do I solve for y: 2 + y = -7 + 2y

Mathematics

2 answers:

In-s [12.5K]3 years ago

6 0

Answer:

2 + y = -7 + 2y

collect like terms

y-2y=-7-2

-y=-9

y=9

Step-by-step explanation:

Kobotan [32]3 years ago

4 0

Answer:

y=9

Step-by-step explanation:

2+y=-7+2y

2=-7+2y-y

2=-7+y

y=2-(-7)

y=2+7

y=9

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frosja888 [35]

The answer is pair F

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2 years ago

Use the discriminant to determine which graph could represent the equation. y=x^2+4x+5

lidiya [134]

ANSWER

See attachment.

EXPLANATION

The given function is

$y = {x}^{2} + 4x + 5$

When we compare this function to

$y = a{x}^{2} + bx + c$

We have a=1, b=4 and c=5

We put this inside the formula for the discriminant, which is

$D = {b}^{2} - 4ac$

$D = {4}^{2} - 4(1)(5)$

$D = 16 - 20 = - 4$

Since the discriminant is negative, the function has no x-intercepts.

The graph of this function is the one hanging in the air above the x-axis and opens upwards.

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3 years ago

Add −1 3/10 + 2/5 using the number line.

DerKrebs [107]

Answer:

-9/10 (in between -1 and -4/5)

Step-by-step explanation:

-1 3/10+2/5

-1 3/10 + 4/10

-13/10+4/10

13/10-4/10=9/10

then put the negative sign in front of the 9/10.

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8 0

3 years ago

Solve the system by substitution.<br> 3x + y = 20<br> -7y=x<br><br> Please help

alisha [4.7K]

9514 1404 393

Answer:

(x, y) = (7, -1)

Step-by-step explanation:

The expression for x makes it easy to use that for substitution.

3(-7y) +y = 20

-20y = 20 . . . . . collect terms

y = -1 . . . . . . . . . divide by -20

-7(-1) = x = 7 . . . use y in the second equation to find x

The solution is (x, y) = (7, -1).

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3 years ago

When x = a is a zero of a polynomial function f, the three statements below are true.

Lunna [17]

Answer:

x = a is a zero of a polinomial f(x), this is the same than: f(x) has a root at x = a

Then: f(a) = 0.

a) x = a is a ____ of the polynomial equation f(x) = 0.

If we define f(x) = 0, then x = a is a solution of the equation.

Then the complete sentence is:

x = a is a solution of the polynomial equation f(x) = 0.

b) ____ is a factor of the polynomial f(x).

Remember that if a polynomial p(x) of degree n has the roots x₁, x₂, ..., xₙ

Then we can write p(x) in the factorized form as:

p(x) = A*(x - x₁)*(x - x₂)*...*(x - xₙ)

Where A is a real number.

Then if in this case we know that a is a root of f(x), then (x - a) is a factor of the polynomial f(x), then the complete sentence is:

(x - a) is a factor of the polynomial f(x).

c) (a, 0) is a ____ of the graph f(x)

We usually use the notation y = f(x).

Then the points of the form (x, f(x)) are the points that belong to the graph of f(x).

In this case, the point (a, f(a)) = (a, 0)

This point belongs to the graph of f(x), then the complete sentence can be written as:

(a, 0) is a point of the graph f(x).

4 0

2 years ago