Please need help asap!!Consider the following figure.

Answer:

A. x = 5, -3

Step-by-step explanation:

The quadratic equation/formula is:

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

The setup is:

[tex]ax^2+bx+c=0[/tex]

[tex]4x^2 - 8x -60=0[/tex]

Plug in the numbers according to the letter associated:

[tex]x = \frac{8+-\sqrt{-8^2-4(4)(-60)} }{2(4)}[/tex]

[tex]x = \frac{8+-\sqrt{1024} }{8}[/tex]

[tex]x = \frac{8+-32}{8}[/tex]

Solve for addition and subtraction:

[tex]x = \frac{8+32}{8}[/tex]                                                                              [tex]x = \frac{8-32}{8}[/tex]

[tex]x = \frac{40}{8}[/tex]                                                                                  [tex]x = \frac{-24}{8}[/tex]

x = 5                                                                                      x = -3

Answer:

The answer is 4.

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

|x| just means positive x so the equation turns into 8-5+1

8-5 = 3

3+1 = 4

Answer:

90

Step-by-step explanation:

Angle Formed Outside = 1/2(DIFFERENCE of Intercepted Arcs)

ARC LN = 360 - 270 =90

LMN  = 1/2(270 -90)

         = 1/2 (180)

        = 90

Answer:

90

Step-by-step explanation:

Answer:

-1/2

Step-by-step explanation:

The slope of the line is y=mx+b. when searching for the slope of a line you take where the line crosses EXACTLY on two points, for this grid it would be (0,3) and (2,2) based off this you see that you Rise 1 and Run 2. rise and run is how you find the formula for slope, since the line is going from the left side of the graph to the right (in a downward motion) the overall direction of the line is negative. now you plug in the answer to the formula given, y=-1/2x+3, the +3 or b in the formula is where the line intersects the y axis. this can be negative or positive. the slope can also be taken from the formula, -1/2for more explanation or questions ask please!

Answer:

Step-by-step explanation:

The domain of this quadratic is "all real numbers."  The function is defined for all x.  

Answer:

The median is 88. The median shows that Brian gets on average 88% on his tests.

Step-by-step explanation:

If you put the numbers in order and get the average of the two middle number, it is 88.

Answer:

11.85

Step-by-step explanation:

Answer: 11.8466898955

sorry it is such a weird number. That is just the facts.

Answer: The solution is (4,99) which means for in 4 months the total cost of each health club will be the same.

Step-by-step explanation:

Club A can be represented by the equation    y = 23x + 7  where x is the number of months  and y is the cost.

Club B can be represented by the equation   y = 16x + 35  where x is the number of months and y is the cost.

23x + 7 = 16x + 35     set the equation equal each other to solve for x

        -7               -7

23x  = 16x + 28

-16x     -16x

7x= 28

x= 4   now we know the value of  x is 4 so we will put it into the equation and solve for y

y= 16(4) + 35

y= 99

Answer:

1/4

Step-by-step explanation:

8 divided by 2= 0.25=1/4

The fraction of the carrots that each friend takes will be 1/4 part.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

There are 8 carrots. Four companions take 2 carrots each.

The fraction of the carrots that each friend takes will be given as,

⇒ 2/8

Simplify the fraction, then we have

⇒ 2/8

⇒ 1/4

The small portion of the carrots that every companion takes will be 1/4 section.

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Answer:

B: Negative Reciprocals.

Answer:

Width of Pathway; 2 meters

Step-by-step explanation:

To determine the width of the pathway we can tell that the length of the ends ( in meters ) is distributed among the two other ends of the garden so that the width ⇒

Increase length on one side * 2, if increased length / width ⇒ x, 2x

From this we can formulate an equation based on the lengths of the garden, as the increased lengths represents the side lengths of the total area ( walkway + garden );

( 12 + 2x )( 6 + 2x ) = 160 ⇒ Expand,

72 + 36x + 4x^2 = 160 ⇒ Subtract 160 on either side,

4x^2 + 36x - 88 = 0 ⇒ Factor,

4 * ( x - 2 ) * ( x + 11 ) = 0 ⇒ Use Zero Factor Principle,

x = 2, and x = - 11;

Now the width can only be a positive value, thus;

Solution; Width ⇒ 2 meters

Answer:

P  140 units

A  1200 units^2

Step-by-step explanation:

The length of the rectangle is 20 to -20 = 20 - -20 = 40 units

The width of the rectangle is 20 to -10 = 20 - -10 = 30 units

The perimeter is given by

P = 2 ( l+w) = 2 (40+30) = 2 (70) = 140 units

The area is given by

A = lw = 40*30 = 1200 units^2

Answer:

0.43

Step-by-step explanation:

We can move the decimal to the left if it is ten percent multiplied and we see here that we multiply the 10 percent.

Answer:

.43

Step-by-step explanation:

ten percent of 4.30

10% * 4.30

Change to decimal form

.10 * 4.30

.43

Answer:

Increasing both by the same amount of 2

Step-by-step explanation:

10 times 12=120,

and 11 times 13=143,

but 12 times 14 =168

An equation is formed of two equal expressions. The equation that can be used to find the value of x is x²+22x-168=0.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Given that Millie has a rectangular pen for her dog that measures 10 ft wide by 12 ft long. Now, she needs to increase the area by 168 ft, that too by increasing the width and length by the same amount. Therefore, the equation can be written as,

[tex](10+x) \times (12+x) = (10 \times 12) + 168\\\\120 + 10x+ 12x +x ^2 = 120+168\\\\120 + 22x+x^2=120+168\\\\x^2+22x-168 = 0[/tex]

Hence, the equation that can be used to find the value of x is x²+22x-168=0.

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Answer:

The number of units that must be sold in order to have the greatest revenue is 50,000 units

Step-by-step explanation:

Given;

y = -0.0002x² + 20x

where;

y is the revenue

x is the units of the product

The equation above is a quadratic equation, to obtain the value of x (units) that will give maximum value of y (revenue), we differentiate the equation.

dy/dx = -0.0004x + 20

Now, equate the differential value to zero, in order to get the value of x that will make the equation maximum.

-0.0004x + 20 = 0

-0.0004x = -20

x = (-20) / (-0.0004)

x = 50,000 units

Therefore, the number of units that must be sold in order to have the greatest revenue is 50,000 units

Answer:

7/2 , -1/2

Step-by-step explanation:

Midpoint of line formula :

X1 + X2/ 2 , Y1 + Y2 / 2

= -2+9/2 , 0 - 1 / 2

= 7/2 , -1/ 2

The midpoint of the line segment with endpoints (-2,0) & (9,-1) will be (7 / 2, -1 / 2).

Let AB be the line segment and C be the mid-point of line segment AB.

Let the coordinate of point A (x₁, y₁), the coordinate of point B (x₂, y₂), and the coordinate of the mid-point (x, y).

Then the coordinate of the mid-point of the line segment is given as,

(x, y) = [(x₁ + x₂) / 2, (y₁ + y₂) / 2]

The endpoints are given below.

(-2,0) & (9,-1)

Then the midpoint of the line segment with endpoints (-2,0) & (9,-1) will be

(x, y) = [(-2 + 9) / 2, (0 - 1) / 2]

(x, y) = [7 / 2, -1 / 2]

Thus, the midpoint of the line segment with endpoints (-2,0) & (9,-1) will be (7 / 2, -1 / 2).

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Answer:

21 sq ft :) 20 characters long

Answer:

145

Step-by-step explanation:

There are a lot of ways to do this, the simplest is that c and b are two angles on a straight line which means they add up to 180

180-35= 145

Answer:

A) a(x^2+ b/a x)+ -c

Step-by-step explanation:

Answer:like the first person it is option 1

Answer:

B

Step-by-step explanation:

edg 2021

Answer:

17.31%

Step-by-step explanation:

1/2 * 1/2 *9/13

50% chance to get heads, 50% chance to get an odd number, 9/13 odds to get a number less than 10 (1, 2, 3, 4, 5, 6, 7, 8, 9).

Answer:

15.38%

Step-by-step explanation:

Answer:

d. 2x^2-8x

Step-by-step explanation:

ure just doing distributive property.

The product of 2x(x-4) is 2x² - 8x

In a mathematics, algebraic expressions can be in bracket. This bracket means we multiply all the variables outside by those inside.

According to this question, we are given the following expression: 2x(x-4)

This means that 2x multiples x and -4 independently.

That is; 2x × x and 2x × -4

2x² - 8x

Therefore, the product of 2x(x-4) is 2x² - 8x.

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Answer:

15

Step-by-step explanation:

Because this figure is a parallelogram, the diagonals bisect each other. This means that the diagonals cut each other perfectly in half, meaning that x and 15 have the same value. Hope this helps!

Step-by-step explanation:

I think its 5 for x if you do 15/3=5 I think

Answer:

False and also the last word is data not date.

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

Answer:

C.) $6,584.91

Step-by-step explanation:

Amount earned in compound interest = P(1 + r)^n;

where P is the principal,

r is the rate and n is the number of periods.

Amount = 3,000(1 + 14%)^6 = 3,000(1 + 0.14)^6 = 3,000(1.14)^6 = $6,584.91

Answer:

C) 6584.91

Step-by-step explanation:

plato

Answer:

x=2, y=1

Step-by-step explanation:

The left and right sides are equal

7x-2 = 5x+2

Subtract 5x from each side

7x -5x-2 = 5x-5x+2

2x-2 = 2

Add 2 to each side

2x -2+2 = 2+2

2x = 4

Divide by 2

2x/2 = 4/2

x =2

The top and the bottom are the same length

6x+y = 7x-1

6(2) +y = 7(2)-1

12 +y = 14-1

Subtract 12 from each side

12 +y-12 = 13-12

y = 1