how many solutions does a quadratic equation that can be written as the difference of squares have?

Answer:

y= - 1/4x

Step-by-step explanation:

The equation of the line passing through that point with the required slope is y=2x+3.

The slope of a line is the change in the y-coordinate relative to the change in the x-coordinate. The net change in the y-coordinate is indicated by Δy and the net change in the x-coordinate by Δx. Thus, the change in y-coordinate with respect to change in x-coordinate is given by: m = change in y/change in x = Δy/Δx Where "m" is the slope of the line.  The slope of a straight line can also be represented by the formula  tan θ = Δy/Δx  So, tan θ is the slope of a straight line. In general, the slope of a line indicates its steepness and direction.

Given:

The angle of slope of a line between two points (x1,y1) and (x2,y2) can be easily determined by finding the difference in the coordinates of the points. The slope is usually indicated by the letter "m".

The slope of a line passing through points (x1,y1)and(x2,y2) is given by

m=(y2−y1)/(x2−x1)

The slope ([tex]m^p)[/tex] of a line perpendicular to a line with slope ([tex]m^p)[/tex] is =−1/m because the product of the slopes of two perpendicular lines is -1, except in the pathological case where the lines are parallel to the x and y axis.

slope  m  of a line, and the coordinates of a known point  (x1,y1)  it is simple to plug them into the point-slope formula for a line to determine the equation for that line.

y=mx +b

y1=mx1+b

solve for  b

Going through those steps:

(x1,y1)=(-6, 8)

(x2,y2)=(10,0)

m=(0-8)(10-(-6))=-0.5

[tex]m^p[/tex]=−1/-0.5= 2

our known point is (−4,−5)

−5=2(−4)+b

-5 = -8+b

b = 3

Therefore, the equation of the line passing through that point with the required slope is y=2x+3.

To learn more about slope, refer;

https://brainly.com/question/3605446

#SPJ2

Answer:

5 months

Step-by-step explanation:

700 + 50x = 650 + 60x

50 = 10x

5 = x

Answer:

it cost $9.2972048

Step-by-step explanation:

Answer:

Coach brought 2 orders of fries to the table, and all three orders of fries cost him $6.

Answer:

Part 1: 10, Part 2: 6

Step-by-step explanation:

Answer:

I think it's 14

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

its 14 because it can be expressed as the quotient of two integers: 14÷ 1

Answer:3/4*5=3 3/5

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

because b sounds like it lol

Answer:

Parallel

Step-by-step explanation:

The run right by each other not touching

Answer:

parallel

Step-by-step explanation:

Answer: f(0) = 0

Step-by-step explanation: anything multiplied by 0 is 0.

The value of   [tex]f'(0)=\frac{-2}{5}[/tex]

What is Derivative of a function?

The derivative of a function of a real variable measures the sensitivity to change of the function value with respect to a change in its argument

It is denoted by f ' ( x ) = dy / dx

Given data ,

Let the function be f ( x ) =   [tex]ln(x + 4 + e^{-3x} )[/tex]

To differentiate f ( x ) ,

Let  [tex]y=ln(a)[/tex] , where [tex]a=x+4+e^{-3x}[/tex]

So ,

[tex]e^{y} =a[/tex]

Using this function , we can write

[tex]e^{y} = x + 4 + e^{-3x}[/tex]

On differentiating , we get

[tex]e^{y}\frac{dy}{dx} = 1 + 0 -3e^{-3x}[/tex]

Dividing by [tex]e^{y}[/tex] on both sides , we get

[tex]\frac{dy}{dx} = \frac{ 1-3e^{-3x}}{e^{y} }[/tex]

We know , [tex]e^{y} =a[/tex]

And [tex]e^{y}=x+4+e^{-3x}[/tex]

So ,   [tex]\frac{dy}{dx} = \frac{ 1-3e^{-3x}}{x+4+e^{-3x} }[/tex]

Therefore [tex]f'(x)=\frac{dy}{dx} = \frac{ 1-3e^{-3x}}{x+4+e^{-3x} }[/tex]

Now , [tex]f'(0)=\frac{1-3e^{0}}{0+4+e^{0} }[/tex]

[tex]f'(0)=\frac{-2}{5}[/tex]

Hence , the value of   [tex]f'(0)=\frac{-2}{5}[/tex]

To learn more about differentiation click :
https://brainly.com/question/27986235

#SPJ2

Answer: 2.5

Step-by-step explanation:

3 1.4 lbs also equals 3.25

3 x 0.75 = 2.25

2.25 + 25 = 2.5

Answer: Answer: 98

6(3) + 10(8) = 98

Step-by-step explanation:

Answer:

16 − 9 c ^10

Step-by-step explanation:

Simplify the expression.

Answer:

-9c^10+16

Step-by-step explanation:

(4+3c^5)(4-3c^5)  multiply

(16 -12c^5+12c^5-9c^10) combine and rewrite

-9c^10+16

Answer:

[tex]m=\frac{-1}{3}[/tex]

Step-by-step explanation:

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Simply plug in the 2 coordinates into the slope formula to find slope m:

Points (0, -1) and (-3, 0)

[tex]m=\frac{0-(-1)}{-3-0}[/tex]

[tex]m=\frac{0+1}{-3}[/tex]

[tex]m=\frac{1}{-3}[/tex]

[tex]m=\frac{-1}{3}[/tex]

Answer:

total cost is £244.4

Step-by-step explanation:

( 37 * 4 ) + ( 15 * 4 ) = 208

208 * .175 = 36.4

208 + 36.4 = 244.4

HOPE THIS HELPS

Answer:

Triangle A did a reflection over the x-axis and the translated down two units to become triangle B

Step-by-step explanation:

Hope this helps. Happy Halloween

Answer:

7060                                                                                                         Step-by-step explanatiojo:

Answer:

-54√3

Step-by-step explanation:

Answer:

the best deal is 4 candy bars for $2.80

Step-by-step explanation:

4/5= 80 cents

2.8/4= 70 cents

7.2/10= 72 cents

1.5/2= 75 cents

the best deal is 4 candy bars for $2.80

Answer:

The equation of the line is y=-16x+7

Step-by-step explanation:

I am not totally sure if that is what you meant by the equation of the line but that is my answer. I can change it if you are more specific.

Anyways, you need to find the slope because you already know the y-intercept, 7.

Slope=rise/run between two pretty points( A point that lines up on the grid)

So you must go from the bottom point and count how ever many are separating the two points. It turned out to be 16 and since the line is going down it is a negative. You then plug the numbers into the slope intercept form and that is your answer.

Answer:

hypotenuse = 5

height = 2

Using Pythagoras theorem,

5² = 2² + m²

=> 25 = 4 + m²

=> 25–4 = m²

=> √21 = m

=> m = 4.58

Value of m is 4.58

Answer:

Ok, so first, at the end of the equation, It says "+ 4" , right? So you put a point on positive 4 on the y-axis (the one that goes up and don, the vertical line.). Then, 2x means that's your slope, but since your graph only goes up to five, you gotta count down ward. So, go down from your point on the y-axis (4) twice and over to the LEFT (<--) once. Plot your point where you end up. then use a straightedge like a ruler, and connect your two points on the graph, and you have your line!

Hope this helps!

Answer:

it is cubix 12

Step-by-step explanation:

yw hope it helps!

Answer:

12 (p/2 + 17.50) = 750 equation can be used to get regular price of enrollment.

Step-by-step explanation:

So when a new student gets enrolled by paying a $17.50 application fee and gets a value of price halved at p/2

where p = regular price of enrollment

So in reality, for the student to be enrolled he/she must pay = (p/2) + $17.50 application fee to be able to get that special offer.

So Twelve new students enrolled, meaning they paid: 12 (p/2 + 17.50 application fee)

The amount they all paid is $750.

To get the regular price of enrollment from the price that included the application fees, the equation to use would be: 12 (p/2 + 17.50) = 750

The correct answer is 12 ([tex]\frac{p}{2}[/tex] + 17.50) =750

Explanation:

In mathematics, an equation represents equality; this means mathematical expressions are placed to the sides of the equality sign and these have the same value. Moreover, if an equation is written based on a situation or description, the values should include the appropriate mathematical symbols (+, -, x, etc) depending on how each of the factors in the equation relates.

In the case presented, it is known the total collected was $750 and due to this, this value should be placed to one side of the symbol =. Moreover, this value was obtained as students paid 17.50 of the application fee plus half of the price. This can be written as [tex]\frac{p}{2}[/tex] (a half price or price divided 2) + 17.50 (application fee). Finally, these two values should be multiplied by 12 (number of students that paid). According to this, the equation is 12 ([tex]\frac{p}{2}[/tex] + 17.50) =750.

Answer:

15.87%

Step-by-step explanation:

Given that :

Mean (m) = 2.51

Standard deviation (σ) = 0.44

Percentage of students with grade point average no more than 2.07

Using the relation :

Zscore = (X - mean) / standard deviation

X = 2.07

Zscore = (2.07 - 2.51) / 0.44

Zscore = - 0.44 / 0.44

Zscore =. - 1

P(Z < - 1) : using the z table

P(Z < 1) = 0.1587

Hence, Percentage of students with grade point average no more than 2.07 is (0.1587 * 100%) = 15.87%

Answer:

B= 2

Step-by-step explanation:

4b+14=22

   -14  -14

4b=8

/4   /4

b=2

The value of b in the expression is,

b = 2

We have to given that,

An expression to simplify,

4b + 14 = 22

Now, We can simplify it as,

4b + 14 = 22

Subtract 14 both side,

4b + 14 - 14 = 22 - 14

4b = 8

Divide by 4;

b = 8/4

b = 2

Therefore, The solution of expression is,

b = 2

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ6

Answer:

Most likely the answer hope this helps :P

Step-by-step explanation:

1= 10

2= 20

5 = 50

8 = 80

X = 100

Answer:

I think the answer is A. since the exponents inside the equation are negative, and the outside exponents are positive

Step-by-step explanation: