I need help with with pre calculus​

The quadratic formula is:

[tex]y = ax^{2} + bx + c[/tex]

To complete the square, take half of the b coefficient and square it. Zero it out in the equation by adding and subtracting it. Use the order of operations (PEMDAS) and solve for x.

I hope this helps. Let me know if you want me to clarify anything or if you have any questions!

The solution of the given quadratic equation is x = -1 ±√2

Suppose that we've a function y = f(x) such that f(x) is quadratic.

When y = 0, then the values of x for which f(x) = 0 is called the solution of quadratic equation f(x) = 0. This solution gives values of x, also when we plot x and f(x), we will see that the graph intersects the x-axis at its solution points.

The quadratic formula is given as;

x² + 2x =1

Then its solutions are given as;

[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]

[tex]x = \dfrac{-2 \pm \sqrt{2^2 - 4(-1)}}{2}\\\\x = \dfrac{-2 \pm \sqrt{4 + 4}}{2}\\\\\\x = \dfrac{-2 \pm \sqrt{8}}{2}\\\\x = \dfrac{-2 \pm 2\sqrt{2}}{2}\\\\\\x = \dfrac{-1 \pm 1\sqrt{2}}{1}[/tex]

Therefore, the solution is x = -1 ±√2

Learn more about quadratic equations here:

https://brainly.com/question/3358603

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Answer:

70 DDegrees

Step-by-step explanation:

Answer:

70 degrees

Step-by-step explanation:

Since the angle opens from the right, we need to measure from the right. Reading the protractor from the right, we can see that the angle measures 70 degrees.

Answer: x = 4 / 2y-z

Step-by-step explanation: Move all of your terms to the left and then set your equal as 0. Then, set each of your factors equal to 0, as well.

I hope this helps you out.

Answer:

The side length of the square region is about 181,166 kilometres.

Step-by-step explanation:

population density = no. of people / area of region

given

population = 200,000

population density = 1650 people per square kilometers

1650 = 200,000/area of region

=> area of region = 1650*200,000 = 330,000,000

given that region is square in shape

area of square = side^2

side^2 =  330,000,000

side = [tex]\sqrt{ 330,000,000} = 181165,90[/tex]

The side length of the square region is about 181,166 kilometres.

Answer:

x = 2

Step-by-step explanation:

Solve for x:

5 (3 - x) - 2 (4 - 3 x) = 11 - 2 (x - 1)

5 (3 - x) = 15 - 5 x:

15 - 5 x - 2 (4 - 3 x) = 11 - 2 (x - 1)

-2 (4 - 3 x) = 6 x - 8:

6 x - 8 - 5 x + 15 = 11 - 2 (x - 1)

Grouping like terms, 6 x - 5 x - 8 + 15 = (-5 x + 6 x) + (15 - 8):

(-5 x + 6 x) + (15 - 8) = 11 - 2 (x - 1)

6 x - 5 x = x:

x + (15 - 8) = 11 - 2 (x - 1)

15 - 8 = 7:

x + 7 = 11 - 2 (x - 1)

-2 (x - 1) = 2 - 2 x:

x + 7 = 2 - 2 x + 11

Grouping like terms, -2 x + 2 + 11 = (11 + 2) - 2 x:

x + 7 = (11 + 2) - 2 x

11 + 2 = 13:

x + 7 = 13 - 2 x

Add 2 x to both sides:

2 x + x + 7 = (2 x - 2 x) + 13

2 x - 2 x = 0:

2 x + x + 7 = 13

Grouping like terms, 2 x + x + 7 = (x + 2 x) + 7:

(x + 2 x) + 7 = 13

x + 2 x = 3 x:

3 x + 7 = 13

Subtract 7 from both sides:

3 x + (7 - 7) = 13 - 7

7 - 7 = 0:

3 x = 13 - 7

13 - 7 = 6:

3 x = 6

Divide both sides of 3 x = 6 by 3:

(3 x)/3 = 6/3

3/3 = 1:

x = 6/3

The gcd of 6 and 3 is 3, so 6/3 = (3×2)/(3×1) = 3/3×2 = 2:

Answer: x = 2

plz see the attachment

Answer:

[tex]b\leq -\frac{19}{14}[/tex]

Step-by-step explanation:

First, write out the equation as you have been given it:

[tex]8-14b\geq 27[/tex]

Now, subtract 8 from both sides:

[tex]8-8-14b\geq 27-8\\-14b\geq 19[/tex]

Now, divide both sides by -14 and flip the inequality sign since we are dividing by a negative:

[tex]\frac{-14b}{-14} \geq \frac{19}{-14}\\b\leq -\frac{19}{14}[/tex]

The highest solution to the inequality is -19/14, and any number lower will also work.

Answer:

A (0, 0).

Step-by-step explanation:

y = x

y = -x

Therefore x = -x.

x + x = 0

x = 0

and y = x = 0.

Answer:

Which ordered pair is a solution to the following linear system?

y = x

y = –x

(1, 1)

(0, 1)

(1, 0)

Correct Answer

(0, 0)

Step-by-step explanation:

just did this on a test.

Answer:

B?

Step-by-step explanation:

2 are colored left to right, and 5 down

2/3 of the chart is taken up

Answer:

Hey there!

The correct answer would be C (Third one from the left).

The width is 2/5 (two out of five) and the length is 2/3 (two out of three)

Let me know if this helps :)

Answer:

h(7) = 3

Step-by-step explanation:

h(x) = -[tex]\sqrt{x-3}[/tex] + 5

h(7) = -[tex]\sqrt{(7)-3}[/tex] + 5

h(7) = -√4 + 5

h(7) = -2 + 5

h(7) = 3

Answer:

Step-by-step explanation:

Given the expression [tex]\frac{2-y}{4+y} + \frac{3(y+2)}{y}[/tex], we are to look for the value of the expression when y = 2. To do that we are going to substitute y as 2 into the given expression and simplify the resulting expression as shown.

[tex]f(y) = \frac{2-y}{4+y} + \frac{3(y+2)}{y}\\\\if \ y = 2;\\\\f(2) = \frac{2-2}{4+2} + \frac{3(2+2)}{2}\\\\f(2) = \frac{0}{6} + \frac{3(4)}{2}\\\\\\f(2) =0 + \frac{12}{2}\\\\\\f(2) = 6[/tex]

Hence the value of the expression when y = 2 is 6

Answer:

The answer is 6

How you get this answer is by plugging in the number 2 in as y and following the order of operations.

4-c=-1/3

3[4-c]= -1

12-3c= -1

12+1=3c

13=3c

c=13/3

c=4 1/3

Answer:

120ft/sec

Step-by-step explanation:

Assuming that there is no acceleration, divide the amount of feet (720) with the time (6 seconds):

720 ft/6 sec = 120 ft/1 sec

For every second, the skydiver drops 120 ft.

120ft/sec.

~

94.7 or 94.70

please dont put 120 i kept getting it wrong

Answer:

This is the answer In Step 2, the associative property cannot regroup addition and multiplication.

Step-by-step explanation:

Hope this helped.

Answer:

In Step 2, the associative property cannot regroup addition and multiplication.

Step-by-step explanation:

            11 + (3)(9)

Step 1: 11 + (9)(3)

Step 2: (11 + 9)(3)                      <- wrong

Step 3: 20(3)

Step 4: 60

hope this help!

Answer:

x = 11

m<TGH = 82

Step-by-step explanation:

m<TGH + m<FGT = m<FGH

6x + 16 + 42 = 11x + 3

6x + 58 = 11x + 3

-5x = -55

x = 11

m<TGH = 6x + 16 = 6(11) + 16 = 82

Answer:

9.24 m

Step-by-step explanation:

Dimensions of the scale model:

Dimensions of the real bus:

The ratio is:

Then:

The length of the bus is 9.24 m

Answer:

d=√ 82=9.1

Step-by-step explanation:

Answer:

Step-by-step explanation:

the product of 3 and n in mathematics is 3n or 3 times n The product of a number and three" should be  3n

where n is the number.

IN the answer of the question you would have to explain something like this:

Let n be the number. The product then is  3n

The reason for this is that you could also let n stand for the number, in which case the answer would be 3n

.                                                                        

Answer:

1:3

Step-by-step explanation:

4:12 simplified is 1:3. for every 1 dark blue there are 3 light blues.

Answer: The ratio of light blue triangles to dark blue triangles is  

✔ 3 to 1

.

For every 1 dark blue triangle, there  

✔ are 3 light blue triangles

.

your w e l c o m e  edge nuity users

Answer:

1 + sin2x

Step-by-step explanation:

Given

(sinx + cosx)² ← expand using FOIL

= sin²x + 2sinxcosx + cos²x

[ sin²x + cos²x = 1 and sin2x = 2sinxcosx ]

= 1 + sin2x

Answer:

[tex]1 + 2 \times \sin(x ) \times \cos(x) [/tex]

Step-by-step explanation:

[tex]( \sin(x) + \cos(x) \: )^{2} [/tex]

By expanding it , we get

[tex] { \sin }^{2} x \: + { \cos }^{2} x \: + \: 2 \times \sin(x) \times \cos(x) [/tex]

we know that

[tex] { \sin}^{2} x + { \cos }^{2} x = 1[/tex]

so,

[tex] { \sin }^{2} x + { \cos}^{2} x + 2 \times \sin(x) \times \cos(x) = 1 + 2 \times \sin(x) \times \cos(x)[/tex]

Answer:

C.

Step-by-step explanation:

The sum of two sides have to be greater than than the third (Triangle Inequality Theorem). 24 is equal to 24, not greater.

Answer:

C. 24m cannot be the length of the third side

Step-by-step explanation:

the sum of the lengths of any two sides of a triangle is greater than the length of the third side.

a = 12,  b = 12

c < a + b

c < 24

therefore based on the choices...

C. 24m cannot be the length of the third side.

Answer:

E. The price will be quoted in euros per kilogram because the price is quoted in currency per weight

Step-by-step explanation:

The price will be quoted in euros per kilogram because the price is quoted in currency per weight

Currency in Europe is Euro

Apple have weight

Volume of apple is measured in kilogram

For instance, if the person is buying 10 kilograms of apples for 20 Euro.

Then the price per kilogram = 20/10

=2 Euro per kilogram

Answer:

(sinx) (sin2x)

Step-by-step explanation:

2 sinx cosx = sin 2x

Answer:

C is equal to -4[tex]x^{2}[/tex] - 36

Step-by-step explanation:

Answer:

(x, y) ⟶ (−x, −y); A′ is at (5, −1)

Step-by-step explanation:

When you rotate a point 180° about the origin, it travels along the circumference of a circle and ends up in a diagonally opposite location.

The x and y values of its coordinates become the negatives of the original values.

The rule is

(x,y) ⟶ (-x,-y)

If the coordinates of A are (-5,1),

The coordinates of A' are (5,-1).

The figure below shows the graph or your rectangle and its rotated image.

Answer:

(x, y) ⟶ (−x, −y); A′ is at (5, −1)

Step-by-step explanation:

just took the FLVS test and got a 100% :)