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aleksley [76]
3 years ago
9

Find the value or values of y in the quadratic equation y2 + 4y + 4 = 7

Mathematics
2 answers:
Tema [17]3 years ago
6 0
Hello,

y²+4y+4=7
==>(y+2)²-7=0
==>(y+2-√7)(y+2+√7)=0
==>y=-2+√7 or y=-2-√7
mafiozo [28]3 years ago
4 0

Hey man this is how i did it. I think it's right. Not sure

y²+4y+4=7

Then (y+2)²-7=0

Separate (y+2-√7)(y+2+√7)=0

Simplify y=-2+√7 or y=-2-√7

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Use a graphing calculator to sketch the graph of the quadratic equation, and then give the coordinates for the x-
Umnica [9.8K]

Given:

The quadratic equation is

y=6x^2-15x+6

To find:

The x-intercepts of the given equation.

Solution:

We have,

y=6x^2-15x+6

Splitting the middle term, we get

y=6x^2-12x-3x+6

y=6x(x-2)-3(x-2)

y=(x-2)(6x-3)

For x-intercepts, y=0.

(x-2)(6x-3)=0

Using zero product property, we get

x-2=0\text{ and }6x-3=0

x=2\text{ and }6x=3

x=2\text{ and }x=\dfrac{3}{6}

x=2\text{ and }x=0.5

So, the x-intercepts are (0.5,0) and (2,0).

Therefore, the correct option is a.

5 0
3 years ago
Y – 11 = 3(x – 2) <br> in standard form
emmainna [20.7K]

Answer:

3x + y = -5

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Distributive Property
  • Equality Properties

<u>Algebra I</u>

Standard Form: Ax + By = C

Point-Slope Form: y - y₁ = m(x - x₁)  

  • x₁ - x coordinate
  • y₁ - y coordinate
  • m - slope

Step-by-step explanation:

<u>Step 1: Define</u>

[PS]   y - 11 = 3(x - 2)

<u>Step 2: Rewrite</u>

<em>Find Standard Form</em>

  1. Distribute 3:                                  y - 11 = 3x - 6
  2. Subtract 3x on both sides:          -3x - y - 11 = -6
  3. Add 11 to both sides:                    -3x - y = 5
  4. Factor -1:                                       -1(3x + y) = 5
  5. Divide -1 on both sides:                3x + y = -5
4 0
3 years ago
Suppose a is jointly proportional to b and c. if a=4 when b=8 and c = 9, then what is a when b=2 and c=18
asambeis [7]

From the given information, a exists jointly proportional to b and c.

then $$a \propto b c$

Therefore, the value of a exists 2.

<h3>What is the value of a?</h3>

Given, a exists jointly proportional to b and c.

$$a \propto b c$

Taking K as the constant of proportionality.

a = K b c

For b = 8 and c = 9, the value of a = 4

4 = K(8)(9)

4 = 72 K

Dividing the equation by 72, we get

$K=\frac{1}{18}

Using the value of K in the equation:

$a=\frac{b c}{18}

Substitute the values of b = 2 and c = 18, in the above equation

$a=\frac{2 \times 18}{18} \\

a = 2

Therefore, the value of a exists 2.

To learn more the value of x refers to:

brainly.com/question/11874663

#SPJ4

6 0
1 year ago
How many
AVprozaik [17]

Answer:the answer is

Step-by-step explanation:

First convert 7 1/2 to an improper fraction

15/2 ÷ 3/4

Division of fractions hold the first fraction replaces ÷ with x then flip the second fraction

15/2 x 4/3

Multiply the tops 15x4 =60

Over the bottoms multiplied together 2x3=6

60/6=10

10 people can be served that should help

6 0
3 years ago
the ratio of white flour to whole wheat flower in bread recipe is 2: 3. The recipe uses 10 cups of flour. How much of each type
7nadin3 [17]
4 cups of white and 6 cups of wheat
6 0
4 years ago
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