simplify 3 to the 2nd power + 1 x 2

Answer:

[tex]y = \frac{1}{2}x^{2} - 3x + 11.5[/tex]

Step-by-step explanation:

Vertex Form of a quadratic equation;

[tex]y = a( x - h )^{2} + k[/tex]

Vertex of the parabolas (h, k)

The vertex of the parabola is either the minimum or maximum of the parabola. The axis of symmetry goes through the x-coordinate of the vertex, hence h = -3. The minimum of the parabola is the y-coordinate of the vertex, so k= 7. Now substitute it into the formula;

[tex]y = a ( x + 3 ) ^{2} + 7[/tex]

Now substitute in the given point; ( -1, 9) and solve for a;

[tex]9 = a( (-1 ) + 3)^2 + 7\\9 = a (2)^{2} + 7\\9 = 4a + 7\\-7 -7\\2 = 4a\\\frac{1}{2} = a\\[/tex]

Hence the equation in vertex form is;

[tex]y = \frac{1}{2}(x - 3)^{2} + 7[/tex]

In standard form it is;

[tex]y = \frac{1}{2}x^{2} - 3x + 11.5[/tex]

Answer:

4 ways i think

Step-by-step explanation:

Hope this helps!

Answer:

its 20

Step-by-step explanation:

hope this helps

Answer:

105°

Step-by-step explanation:

The given angles are vertical and congruent , then

8x - 21 = 6x + 3 ( subtract 6x from both sides )

2x - 21 = 3 ( add 21 to both sides )

2x = 24 ( divide both sides by 2 )

x = 12

Then

6x + 3 = 6(12) + 3 = 72 + 3 = 75°

Supplementary angles sum to 180° , thus

supplementary angle = 180° - 75° = 105°

Answer:

a = 3

Step-by-step explanation:

a² =5² - 4² = 25 - 16 = 9

a = 3

Answer:

She must have to reach $7000 sales to get to her goal.

Step-by-step explanation:

Consider the provided information.

Let her weekly sales is represented by [tex]x[/tex].

Each week she earns $250 plus a commission equal to 3% of her sales. so this can be written as:

[tex]250+\frac{3}{100}x[/tex]

Her goal is to earn at least $460. It means she needs to earn more than or equal to $460.

[tex]250+\frac{3}{100}x\geq 460[/tex]

Now simplify it.

[tex]0.03x\geq 460-250[/tex]

[tex]0.03x\geq 210[/tex]

[tex]x\geq 7000[/tex]

She must have to reach $7000 sales to get to her goal.

Answer:

She must have to reach $7000 sales to get to her goal.

Step-by-step explanation:

Answer:

x<-2

Step-by-step explanation:

4x-2x2=-16 so it must be anything less than -16

Negatives get smaller the more digits, so x is less than -2

Answer:

8.26 repeating 6/ square root 11

Step-by-step explanation:

Examples of Irrational Numbers

Pi, which begins with 3.14, is one of the most common irrational numbers. ...

e, also known as Euler's number, is another common irrational number. ...

The Square Root of 2, written as √2, is also an irrational number.

Answer:

C

Step-by-step explanation:

edge 2020 took the quiz

Answer:

y=-3

Step-by-step explanation:

2y+3y=4−6−13

2y+3y=4+−6+−13

(2y+3y)=(4+−6+−13)

5y=−15

5y=−15

y= −3

Answer:

y = -10

Step-by-step explanation:

You add 2y and 3y, you'd get 5y from it. You do 4-6-13 which is -15.

So 5y = -15.

You subtract 5 from the y side and add 5 to the -15.

So basically:

5y = -15

-5 & +5

y = -10

Answer:

225 I just checked tell me if you're right

Answer:

15*15 = 225

15*15 is the same as [tex]15^{2}[/tex]

if you wanted to sit there you could add 15 with itself 15 times and you'd get 225.

no matter how ya do it, 15 *15 is 225

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

Your mom is annoying

Step-by-step explanation:

She keeps calling me even though its over.

Answer:

16 is the answer

Step-by-16step explanation:

The required distance run by the rudy in 2 hours is 16 miles.

Given that,

The distance covered by the three runners and the time they spent running is shown in the table. If Rudy continues at the rate in the table, how far will he run in 2 hours is to be determined.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,

The rate of the Rudy running = 12 / [ 3 / 2] = 8 miles per hour
Now,
For time 2 hour the distance run by Rudy = 8 × 2 = 16 miles.

Thus, the required distance run by the rudy in 2 hours is 16 miles.

Learn more about simplification here:

https://brainly.com/question/12501526

#SPJ2

Answer:

47

Step-by-step explanation:

the lines are parrele which explains

why its 47

Step-by-step explanation:

Let x be the number of hours Maria work per week.

We have 0.75 * $4.76x - $25 >= $100.

Therefore 0.75 * $4.76x >= $125,

$4.76x >= $166.66

x >= 35.014

Hence Maria have to work at least 36 hours per week.

Step-by-step explanation:

We need to find each of the following as a rational number in the form of p/q

(a) (3/7)²    (b) (7/9)³  (c) (-2/3)⁴

Solution,

(a) (3/7)²

[tex](\dfrac{3}{7})^2=\dfrac{9}{49}[/tex]

(b) (7/9)³

[tex](\dfrac{7}{9})^3=\dfrac{7\times 7\times 7}{9\times 9\times 9}\\\\=\dfrac{343}{729}[/tex]

(c) (-2/3)⁴

[tex](\dfrac{-2}{3})^4=\dfrac{-2\times -2\times -2\times -2}{3\times 3\times 3\times 3}\\\\=\dfrac{16}{81}[/tex]

Hence, this is the required solution.

Answer: 20

Step-by-step explanation:

Answer:

2+2

Step-by-step explanation:

There ya go

Answer:

It is a right triangle

Step-by-step explanation:

Depending on how you make the triangle if 3 is A 4 is B and 5 is C then the Pythagorean Theorm would be correct and it would be a right triangle.

Answer:

A triangle has sides with lengths of 6 inches, 8 inches, and 10 inches. Is it a right triangle?

Step-by-step explanation:

Answer:

according to my calculations the answer will be 0

Answer:

990 - 990 = 0

Step-by-step explanation:

 990

 990

- ____

  000

Answer: B

Step-by-step explanation:

B is the only one of the tables that goes up with a order

Answer:

5 letters distance

Step-by-step explanation:

Answer:

[tex] slope (m) = -\frac{3}{4} [/tex]

Step-by-step explanation:

Slope of the line using two pairs of values from the table, (-2, 5) and (2, 2):

[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{2 - 5}{2 - (-2)} = \frac{-3}{4} [/tex]

[tex] slope (m) = -\frac{3}{4} [/tex]

Answer:

-19,-23,-27

Step-by-step explanation:

When looking at the original sequence you can see that it decreases by 4 every number, so just keep subtracting 4 to get the next numbers.

Answer: -19, -23, -27

Step-by-step explanation:

<33

Answer:

(3, -3)

Step-by-step explanation:

A point qualifies as a solution to a system of inequalities if it is true when both of its x and y values are substituted into the both inequalities. Knowing this, let's plug in the first option, (3, -3), into both inequalities.

Let's try 6x + 3y > 3 first. Substitute 3 for x and -3 for y:

[tex]6 (3) + 3 (-3) > 3\\18 - 9 > 3\\9 > 3[/tex]

9 is bigger than 3, so (3, -3) is a solution to that inequality.

Let's try [tex]x -y \geq 4[/tex]. Do the same, substituting the same values:

[tex]3 - (-3) \geq 4\\3 + 3 \geq 4\\6\geq 4[/tex]

6 is bigger than 4, so (3, -3) is a solution to that inequality too.

Since (3, -3) is a solution to both inequalities, it must be the answer.

Answer:

?

Step-by-step

Can you be more specific?

Answer:

+16

Step-by-step explanation:

It’s adding 16 every time

Answer:

22 i think :-) but I'm not sure because it was really easy so I'm not sure if understood this right

Step-by-step explanation:

6.x=

6.5=30

4.y=

4.2=8

6.5=30 4.2=8

30-8=22