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exis [7]
3 years ago
8

Need help ASAP!!!!!!

Mathematics
1 answer:
trapecia [35]3 years ago
4 0

Answer:

see explanation

Step-by-step explanation:

x² + 3x + 7 = 5 ( subtract 5 from both sides )

x² + 3x + 2 = 0 ← in standard form

(x + 2)(x + 1) = 0 ← in factored form

Equate each factor to zero and solve for x ( zero product rule )

x + 2 = 0 → x = - 2

x + 1 = 0 ⇒ x = - 1

--------------------------------------------------------------

x² - 2 = - 2x² + 5x ( subtract - 2x² + 5x from both sides )

3x² - 5x - 2 = 0 ← in standard form

(3x + 1)(x - 2) = 0 ← in factored form

Equate each factor to zero and solve for x

3x + 1 = 0 ⇒ 3x = - 1 ⇒ x = - \frac{1}{3}

x - 2 = 0 ⇒ x = 2

------------------------------------------------------------

(x + 3)² + 4x = 0 ← expand left side using FOIL and simplify

x² + 6x + 9 + 4x = 0

x² + 10x + 9 = 0 ← in standard form

(x + 9)(x + 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 9 = 0 ⇒ x = - 9

x + 1 = 0 ⇒ x = - 1

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A triangle with vertices at A(0, 0), B(0, 4), and C(6, 0) is dilated to yield a triangle with vertices at A′(0, 0), B′(0, 10), a
Vesnalui [34]

Answer:

2.5

Step-by-step explanation:

A triangle ABC with vertices A(0, 0), B(0, 4), and C(6, 0) is dilated to form a triangle A'B'C' with vertices A′(0, 0), B′(0, 10), and C′(15, 0). If the center of dilation is point A or A' (the origin), then

\dfrac{A'B'}{AB}=\dfrac{A'C'}{AC}.

Since

  • AB=4;
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  • AC=6;
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then the scale factor of the dilation is

k=\dfrac{10}{4}=\dfrac{15}{6}=2.5.

3 0
3 years ago
Select all the correct answers.
amid [387]

Answer:

It costs $15 a month to play the video game.

The initial cost is $45.

The y-variable represents the cost in dollars.

The x-variable represents the number of months.

Step-by-step explanation:

If you break the function down, you're going to have:

<u>Total = Monthly Cost + Initial Cost</u>

In this case, 15x is your monthly cost, as you can think of x as the number of months meaning:

  • 15 for the first month (x = 1)
  • 30 for the second month (x = 2)
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Our initial cost is always going to be a set amount, thus our constant, $45.

This leaves y as our total, which makes sense, as it's all alone on one side of the equation, where as all the costs are bunched together on the right side.

Hope this helps!

6 0
2 years ago
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25 POINTS<br><br> IF U TELL ME THE ANSWER I'LL GIVE U 20 POINTS AND MARK YOU AS BRAINLIEST
choli [55]

I am not sure about this. I am sure that 3 has atleast 1.

6 0
3 years ago
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KengaRu [80]
I’ve attached my work...
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6 0
2 years ago
Help PLS! What Is 85-4x4x2
mina [271]

Answer:

53

Step-by-step explanation:

6 0
2 years ago
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