In the quadratic formula, −b±b2−4ac√2a, what is b2−4ac called?

Answer:

-40

Step-by-step explanation:

The team won 16 games and lost 8 games.

Subtraction is one of the four basic arithmetic operations that is used to find the difference.

A football team won 8 more games than they lost. They played 24 games in the season. How many games were won and how many were lost?

The team lost n games.

The team won 8 more games than it lost, so it won n + 8.

The total number of games the team played was n + n + 8, or 2n + 8.

The team played a total of 24 games, so

2n + 8 = 24

We now solve for n.

2n + 8 = 24

2n = 16

n = 8 (lost games)

n + 8 = 8 + 8 = 16 (won games)

Hence, The team won 16 games and lost 8 games.

Learn more about subtraction here;

https://brainly.com/question/11328248

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Answer:

-2[tex]\sqrt{3x}[/tex] + 2[tex]\sqrt{15x}[/tex]

Step-by-step explanation:

Answer:

$252.50

Step-by-step explanation:

Furture value$252.50

Total Deposits: $200

Interest Earned: $52.50

Answer:

The coordinates of point S are (4,-7).

Step-by-step explanation:

Given the locations of points S and T, the midpoint coordinates are set by midpoint formulas:

[tex]\bar x = \frac{x_{S}+x_{T}}{2}[/tex] and [tex]\bar y = \frac{y_{S}+y_{T}}{2}[/tex]

Where:

[tex]x_{S}[/tex], [tex]x_{T}[/tex] - x-Components of S and T.

[tex]y_{S}[/tex], [tex]y_{T}[/tex] - y-Components of S and T.

The coordinates of S are cleared:

[tex]x_{S} = 2\cdot \bar x -x_{T}[/tex]

[tex]y_{S} = 2\cdot \bar y - y_{T}[/tex]

If [tex]\bar x = 2[/tex], [tex]\bar y = -2[/tex], [tex]x_{T} = 0[/tex] and [tex]y_{T} = 3[/tex], the equations are now solved:

[tex]x_{S} = 2\cdot (2) -0[/tex]

[tex]x_{S} = 4[/tex]

[tex]y_{S} = 2\cdot (-2)-3[/tex]

[tex]y_{S} = -7[/tex]

The coordinates of point S are (4,-7).

Answer:

f(5) = 2

f'(5) = [tex]\frac{1}{5}[/tex]

Step-by-step explanation:

Tangent line to a function y = f(x) on a point (5, 2) passes through two points (5, 2) and (0, 1)

Let the equation of the line is,

y - y' = m(x - x')

Slope of a line passing through [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

                                                                                   = [tex]\frac{2-1}{5-0}[/tex]

                                                                                   = [tex]\frac{1}{5}[/tex]

Therefore, equation of the line passing through (0, 1) and slope = [tex]\frac{1}{5}[/tex] will be,

y - 1 = [tex]\frac{1}{5}(x-0)[/tex]

y = [tex]\frac{x}{5}+1[/tex]

Function representing equation will be,

f(x) = [tex]\frac{x}{5}+1[/tex]

At x = 5,

f(5) = [tex]\frac{5}{5}+1[/tex]

     = 1 + 1

     = 2

f(5) = 2

f'(x) = [tex]\frac{d}{dx}(\frac{x}{5}+1)[/tex]

       = [tex]\frac{1}{5}[/tex]

Therefore, f'(5) = [tex]\frac{1}{5}[/tex] will be the answer.

Answer:

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

Step-by-step explanation:

I hope this helps!

Answer:

[tex]x=-4[/tex]

Step-by-step explanation:

[tex]6x+11=3x-1[/tex]

To solve this equation, we must first minus(subtract) 3x from both sides of the equation.

[tex]6x+11-3x=3x-1-3x[/tex]

And this equals:

[tex]3x+11=-1[/tex]

Now we must subtract again, but 11 times now.

[tex]3x+11-11=-1-11[/tex]

And this equals:

[tex]3x-12[/tex]

Now let's make this into a fraction to divide.

[tex]\frac{3x}{3}[/tex]

We get [tex]\frac{-12}{3}[/tex]

Now we got our answer:

[tex]x=-4[/tex]

Hope this helps!

Answer:

-4

Step-by-step explanation:

First you wanna subtract the 1 from the 11 then add subtract the 3x from the 6x and you should have 3x = -12 the. You just divide -12 by 3

Answer:

[tex]8^{6}[/tex]

Step-by-step explanation:

power to power rule: multiply the bases

Answer:

262144

Step-by-step explanation:

(8²)³

When there is a power on top of a power, In this case (^2)^3, you DON'T Multiply 2 three times. You multiply two WITH 3.

SO,

(8²)³

=  8^6

Final answer =262144

Answer:

d=2.5

Step-by-step explanation:

first find the coordinate of B(mid point of AC):A(3,7) C(6,11)

d=√(6-3)²+(11-7)²

d=√3²+4²

d=√9+16=√25=5

since B is the mid point : d/2=5/2=2.5

B(x1+x2/2 , y1+y2/2)   , x1=3 , x2=6, y1=7, y2=11

B(9/2,18/2)

B(9/2,9)

Find AB : the length or distance between 2 points:

d=√(x2-x1)²+(y2-y1)²

d=√(3-9/2)²+(7-9)²

d=√(-3/2)²+(-2)²

d=√1.5²+4

d=√6.25

d=2.5

Answer:

D. 1x8

Step-by-step explanation:

7/8 rounded is 1. And 8 and 1/10 rounder is 8, so therefore your answer is 1x8.

hope this helps! :)

Answer:

100 miles

Step-by-step explanation:

2 rides = 10$

3.5$=10 miles x 10=35$=100 miles

Answer:

3/4

Step-by-step explanation:

Answer:

they are parallely far apart

Answer:

31.1

Step-by-step explanation:

Answer:

31.1

Step-by-step explanation:

124.4 / 4

= 0.1 * (1244/4)

= 0.1 * 311

= 31.1.

Answer:

The answer is 153.86

Step-by-step explanation:

A= 3.14 x12.25>2

A= 38.465 x 4

A= 153.86

Answer:

6

Step-by-step explanation:

Since the x coordinates are the same, we are only concerned about the y coordinates

Find the difference between -1 and 5

5 - -1

5+1

6

The distance is 6

Answer:

No

Step-by-step explanation:

Functions can only have 1 range per domain (Only 1 Y output per X). Another method is by using the vertical line test, and in this case it fails because more than 2 points are on the same vertical line (x = 1 and x = 2)

Answer:

D

1/2 is 0.5

5/8 is 0.625

Which one is less than 0.625 and greater than 0.5?

0.6

Answer:

it would be 5.75

Hope this helps! :)

(make brainliest if it helped!!)

Answer:

[tex]y=8x-25[/tex]

Step-by-step explanation:

Given the coordinates:

(3,−1) and (4,7)

To find:

The equation of line passing through the given points.

Solution:

Let us have a look at the slope intercept form of a line:

[tex]y=mx+c[/tex]

c is the y intercept.

Where [tex]m[/tex] is the slope of the line passing through the points [tex](x_1,y_1),(x_2,y_2)[/tex]

Formula for slope is:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]x_1 = 3\\y_1 = -1\\x_2 = 4\\y_2 = 7[/tex]

[tex]m=\dfrac{7-(-1)}{4-3}\\\Rightarrow m = 8[/tex]

So, equation of line becomes:

[tex]y=8x+c[/tex]

Let us put (4, 7) to find the value of c:

[tex]7=8\times 4 +c\\\Rightarrow c = -25[/tex]

So, the equation is:

[tex]y=8x-25[/tex]

The equation of the line passing through the points (3.-1), and (4,7) is [tex]y=8x-25[/tex].

Given information:

The given line passes through the points (3.-1), and (4,7).

It is required to write the equation of the line.

Use the two-point form of a line to write the equation of the line:

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)\\y-(-1)=\dfrac{7-(-1)}{4-3}(x-3)\\y+1=8(x-3)\\y+1=8x-24\\y=8x-25[/tex]

From the above equation of the line, the slope is equal to 8.

Therefore, the equation of the line passing through the points (3.-1), and (4,7) is [tex]y=8x-25[/tex].

For more details, refer to the link:

https://brainly.com/question/19082942

The absolute value is defined as

[tex]|x|=\begin{cases}x&\text{if }x\ge0\\-x&\text{if }x<0\end{cases}[/tex]

So for example, if x = 3, then |x| = |3| = 3, since 3 is positive. On the other hand, if x = -5, then |x| = |-5| = -(-5) = 5, since -5 is negative. The absolute value is always positive.

For the inequality |7 + 8x| > 5, you consider the two cases where the argument to the absolute value (the expression you find inside the bars) is either positive or negative.

• If 7 + 8x ≥ 0, then |7 + 8x| = 7 + 8x, so that

[tex]|7+8x|>5\implies 7+8x>5 \implies 8x>-2 \implies x>-\dfrac14[/tex]

• Otherwise, if 7 + 8x < 0, then |7 + 8x| = -(7 + 8x), so that

[tex]|7+8x|>5\implies-(7+8x)>5\implies7+8x<-5\implies8x<-12\implies x<-\dfrac32[/tex]

The solution to the inequality is the union of these two intervals.

Answer:

R(-2,0)

S(0,-4)

T(-4,-3)

Step-by-step explanation:

So first you gotta subtract 2 from each x value and 1 from each y value. After you do that, you get:

R(0,2)

S(-4,0)

T(-3,4)

then i put it all onto a graph, and rotated it 90* counterclockwise, from the origin, which puts it in quadrant 3, with the final coordinates above.

The formula for the volume of a cone is [tex]V=\pi r^2\frac{h}{3}[/tex]

Plug in the values we know.

[tex]V=\pi (5)^2\frac{6}{3}[/tex]

[tex]V=\pi*25*2[/tex]

[tex]V=50\pi[/tex]

[tex]V=157[/tex]

^ If 3.14 was used for [tex]\pi[/tex]

Hope this helps.

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Answer:

Width of Teacher desk = 30 in

Step-by-step explanation:

Given:

Length of student desk = 30 in

Width of student desk = 18 in

Length of teacher desk = 50 in

Find:

Width of Teacher desk

Computation:

Assume,

Width of Teacher desk = x

Teacher desk is similar to student desk

Length of student desk / Width of student desk = Length of teacher desk /  Width of Teacher desk

30 / 18 = 50 / x

x = [(50)(18)] / 30

Width of Teacher desk = 30 in

Answer:

8

Step-by-step explanation:

Answer:

`13.902

Step-by-step explanation:

Answer:

-11

Step-by-step explanation:

BIDMAS

(BRACKETS, INDICES, DIVISION, MULTIPLICATION, ADDITION, SUBTRACTION)

14 + 18 - 2 x 18 -7

the first thing we do is the multiplication (since there is no division in this question)

14 +18 − (2)(18) −7

14 + 18 - (36) - 7

32 - 36 - 7 = -11