Solve 3x^2-4x-1=0
Can someone please explain to me how it went from 4 +/- the square root of 28 to 4 +/- 2 multiplied by the square root of 7.

The trajectory of your message illustrates a quadratic function

The equation of the trajectory of the message is [tex]y = -\frac 15(x - 17)^2 + 20[/tex]

The trajectory graph (see attachment) is a quadratic function that passes through the following points:

(x,y) = (7,0) and (27,0)

And the vertex is:

(h,b) = (17,20)

A quadratic function is represented as:

[tex]y = a(x - h)^2 + b[/tex]

So, we have:

[tex]y = a(x - 17)^2 + 20[/tex]

Substitute (7,0) for (x,y)

[tex]0 = a(7 - 17)^2 + 20[/tex]

Evaluate

[tex]0 = 100a + 20[/tex]

Collect like terms

[tex]100a = -20[/tex]

Divide both sides by 100

[tex]a = -\frac 15[/tex]

Recall that:

[tex]y = a(x - 17)^2 + 20[/tex]

So, we have:

[tex]y = -\frac 15(x - 17)^2 + 20[/tex]

Hence, the equation of the trajectory of the message is [tex]y = -\frac 15(x - 17)^2 + 20[/tex]

Read more about quadratic functions at:

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x2^-3x+1

Step-by-step explanation:

All you have to do is the 3 Forms of Quadratic Equations

Standard Form: y = a x 2 + b x + c y=ax^2+bx+c y=ax2+bx+c.

Factored Form: y = a ( x − r 1 ) ( x − r 2 ) y=a(x-r_1)(x-r_2) y=a(x−r1)(x−r2)

Vertex Form: y = a ( x − h ) 2 + k y=a(x-h)^2+k y=a(x−h)2+k.

Answer:

b

Step-by-step explanation:

18/38 = 47.36%=47% rounding down

Answer:

I got you again bro

Step-by-step explanation:

10x-20=7x+4

10x=7x+24

3x=24

x=8

Top angle=10(8)-20=60

Bottom angle=7(8)+4=60

Note:They should equal each other

Answer:

-3=-2 -2=-1 -1=0 0=1 1=2 2=3 3=4

Step-by-step explanation:

You add one to each of the listed numbers due to the question being x+1 so you take all of your x´s and add one raising their amount up by 1

Answer:

[12] 7x+5

[13] 72

Step-by-step explanation:

[12] [tex]7x^2+75+50[/tex]

First, Multiply the coefficient of the first term by the constant   7 × 50 = 350

Then, find two factors of  350  whose sum equals the coefficient of the middle term, which is  75 .

Then,  Rewrite the polynomial splitting the middle term using the two factors  5  and  70

                    7x^2 + 5x + 70x + 50

Add up the first 2 terms, pulling out like factors :

                   x × (7x+5)

             Add up the last 2 terms, pulling out common factors :

                   10 × (7x+5)

               (x+10)  • (7x+5)

Hence, Answer = 7x + 5

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

[13]  

A perfect square trinomial is a quadratic equation of the form

[tex]ax^2+bx+c=0[/tex]  

and a result of squaring a binomial. This means that the first and third term of the trinomial is equal to the square of the first and second term of a binomial. Therefore, in order to determine the value of the third term, we can use the method of completing the square in which the formula is

[tex]c=(\frac{b}{2a})^2[/tex]

where c is the constant and b and a are the coefficients of the first and the second term.

The trinomial 9x^2+72x+144 is a perfect square trinomial, because it's discriminant is equal to zero

Δ=b 2 −4ac=72 2 −4(9)(144)=0  

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

~Learn with Lenvy~

Answer:

a) Right triangle b) Obtuse triangle c) equilateral triangle.  

Step-by-step explanation:

A right triangle has a 90 degree angle. Obtuse triangles need to have one angle greater than 90 degrees, and equilateral triangles have same sides.

Answer:ssssssssssuuuuuuupp

Step-by-step explanation:

Answer:

No it will not form a right triangle it will form a SSS triangle

Step-by-step explanation:

The sum of the lengths of any two sides of a triangle must be greater than the length of the third side but if you used 7 9 and 11 it would give you a SSS triangle.

Answer:

Step-by-step explanation:

Answer:

Well the discount with 15% off is $2.25. Now subtract 15.00-2.25 to get 12.75. You are paying $12.75 for the discounted pizza.

Step-by-step explanation:

Answer: Initially it looks like Mindy is making a profit of $0.75 plus the pizza worth $12. So it is a fair deal for Mindy. Now coming to the part of the pizza shop owner, we find that he also gains extra $2.25 from this deal. So it is a fair deal for both the shop keeper and Mindy.

Answer:

This process is called

Producing. underwriting.

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

1 cup and 6 hours (5) over total (15)

5/15 simplifies to 1/3

[tex]\\ \rm\Rrightarrow 7x+10+3x+10=180[/tex]

[tex]\\ \rm\Rrightarrow 10x+20=180[/tex]

[tex]\\ \rm\Rrightarrow 10x=160[/tex]

[tex]\\ \rm\Rrightarrow x=16[/tex]

Now

Answer:

y = 58°

z = 122°

Step-by-step explanation:

Linear pair: a pair of adjacent angles formed when two lines intersect. The two angles are always supplementary and so their measures sum to 180°.

Therefore,

(7x + 10) + y = 180

(3x + 10) + z = 180

Alternate interior angle theorem: when 2 parallel lines (AB and CD) are cut by a transversal (EF), the resulting alternate interior angles are equal.

Therefore,

y = (3x + 10)

z = (7x + 10)

Substituting y = (3x + 10) into (7x + 10) + y = 180 and solving for x:

⇒ (7x + 10) + (3x + 10) = 180

⇒ 10x + 20 = 180

⇒ 10x = 160

⇒ x = 16

Calculate angle y and angle z by substituting the found value for x into their equations:

y = 3(16) + 10 = 58°

z = 7(16) + 10 = 122°

Answer:

There are two terms in the expression...

Hope this helps!!!!

Answer:

No . C = COEFFICIENT IS THE ANSWER OF THE QUESTION

Answer:

  f(x) -g(x) = 4x +11

Step-by-step explanation:

Substitute the given expressions and simplify.

  f(x) -g(x) = (-2x+4) -(-6x-7)

Eliminating parentheses, we get ...

  f(x) -g(x) = -2x +4 +6x +7 = (-2+6)x +(4 +7) . . . . combining like terms

  f(x) -g(x) = 4x +11

Answer:

593.76

Step-by-step explanation:

Round, 1 is smaller that 5, stays the same.

Answer:

600

Step-by-step explanation:

5 is the digit in the hundred place

Look at the number on the right. Since 9 is bigger than 5, you are going to round up. So you have 600

Answer:

14

Step-by-step explanation:

*Notice that number of green marbles did not change throughout

Therefore,

36 green marbles -> 2/5 of Sean total marbles

Sean's total marbles = 36/2 *5 = 90

Number of red marbles won = 90-36-40 = 14

Answer: There is no slope

Step-by-step explanation:

These points form a straight line. You can tell because both of their x coordinates are -1 which means they are a straight line when formed. If both coordinates have the same x (sign and number) they form a straight line.

Step-by-step explanation:

this is unclear.

did this mean the left and the right sides are the same length (and parallel)?

it seems then they are 2 congruent triangles and the whole shape a parallelogram.

remember, the sum of all 3 angles in any triangle is always 180°.

so,

angle 1 = 180 - 70 - 60 = 50°

the congruence principle then makes angle 3 = angle 1 = 50°.

and then angle 2 must be 70°, as 70° + angle 3 = angle 1 + angle 2.

if I misunderstood, then angle 3 and then angle 2 can't be determined.

Step-by-step explanation:

given distance belongs to family figures

Answer:

to make the full cake the strawberries required will be (4/3) cups.

Step-by-step explanation:

The zeros of the quadratic function f(x) = 2x² + 8x – 3 is x = -2 - √11/4 and x = -2 + √11/4

A quadratic function is in the form:

y = ax² + bx + c

Given that:

f(x) = 2x² + 8x - 3, hence:

The zero is at:

2x² + 8x - 3 = 0

2x² + 8x = 3

Dividing through by 2:

x² + 4x = 3/2

add to both sides 4:

(x + 2)² = 3/2 + 4

(x + 2)² = 11/4

x + 2 = ±√11/4

x = -2 ±√11/4

The zeros of the quadratic function f(x) = 2x² + 8x – 3 is x = -2 - √11/4 and x = -2 + √11/4

Find out more on quadratic function at: https://brainly.com/question/1214333

Answer:

x = [tex]x=-2-\frac{11}{2}[/tex]   and   [tex]x=-2+\frac{11}{2}[/tex]

Step-by-step explanation:

I got it right on edge

Answer:

-4,747

Step-by-step explanation:

PEMDAS (1. parentheses, 2. exponents, 3. multiplication, 4. division, 5. addition, and 6. subtraction)

Parentheses: NONE

Exponents: NONE

Multiplication: 5446 x 435 = 2,369,010

Division: 2,369,010 / 890 = 2661.80899 (rounding too 2662)

Addition: 2662 + 246 = 2908

Subtraction: 2908 - 7655 = -4,747

Answer:

16.8

Step-by-step explanation:

The scale factor is a ratio. The surface area of the real ramp is 16.80 ft².

The ratio between comparable measurements of an item and a representation of that thing is known as a scale factor in arithmetic.

As we know that the height of the real ramp is 1.2 feet, while the height of the drawing is 6 cm, therefore, the scale factor can be written as,

[tex]\rm Scale\ factor = \dfrac{\text{Area of Image}}{\text{Area of pre-image}}=\dfrac{1.2 \ feet}{6\ cm} = 0.2[/tex]

Now, the area of the pre-image can be written as,

[tex]\rm \text{Area of pre-image} = 2triangles+ 2 rectangle + 1 rectangle\ at\ base[/tex]

                             [tex]= 2(0.5 \times 6 \times 16) + 2(10 \times 9) + (16 \times 9)\\\\= 2(48)+2(90)+144\\\\= 96 + 180 + 144\\\\ = 420\ cm^2[/tex]

Further, the area of the actual ramp can be written as,

[tex]{\text{Area of pre-image}} \times \rm Scale\ factor = \text{Area of Image}\\\\ \text{Area of Image}= 420 \times (0.2)^2 \\\\ \text{Area of Image}= 16.8\ ft^2[/tex]

Hence, the surface area of the real ramp is 16.80 ft².

Learn more about Scale Factor:

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Answer:

(1, -4)

Step-by-step explanation:

To turn a figure or point 90° counterclockwise around the origin, you do: (x, y) -> (-y, x).

We are given point T as (-4, -1).

Therefore, the answer is (1, -4).

Answer:

y=2x-13

Step-by-step explanation:

PEMDAS

Distribute parenthesis --> y=2x-10-3

Add like numbers --> y=2x-13