What are the solution(s) to the quadratic equation 40 − x2 = 0? x = ±2 x = ±4 x = ±2 x = ±4

Answer:

[tex]\large\boxed{x=\dfrac{45}{4}=11\dfrac{1}{4}}[/tex]

Step-by-step explanation:

[tex]-8x=-90\qquad\text{divide both sides by (-8)}\\\\\dfrac{-8x}{-8}=\dfrac{-90}{-8}\\\\x=\dfrac{90}{8}\\\\x=\dfrac{90:2}{8:2}\\\\x=\dfrac{45}{4}\to x=11\dfrac{1}{4}[/tex]

Answer:

x³+y³=4697

Step-by-step explanation:

x+y=11

y=11-x

325=x²+y²

=x²+(11-x)(11-x)

=x²+121-11x-11x+x²

325=2x²-22x+121

0=2x²-22x-204

=(2x+12)(x-17)

0=2x+12 or 0=x-17

-12=2x 17=x

-6=x

y=11-x

y=17 or -6

(-6,17) or (17,-6)

=x³+y³

=(-6)³+(17)³

=4697

Answer:

-10416.

Step-by-step explanation:

This is a Geometric Series with first term 4 and common ratio -5.

Sum of 6 terms = a1 .  (r^6  - 1 )/ ( r - 1)

= 4 *( (-5)^6 - 1) / (-5-1)

= -10416  (answer).

Answer:

-10416

Step-by-step explanation:

Answer:

D 13

Step-by-step explanation:

(b^4)^4         b^5 * b^x

-------------- = ----------------

b^2                 b^4

We know that a^c^d = a^ (c*d)

b^(4*4)         b^5 * b^x

-------------- = ----------------

b^2                 b^4

b^16         b^5 * b^x

-------------- = ----------------

b^2                 b^4

We know that a^ c * a^d = a^ (c+d)

b^16              b^(5+x)

-------------- = ----------------

b^2                 b^4

We know that a^c / a^d = a^ (c-d)

b^(16-2) = b^(5+x-4)

b^14 = b^(1+x)

Since the base is the same, the exponent must be the same

14=1+x

Subtract 1 from each side

14-1 = 1+x-1

13 =x

Answer:

1000 units wide, 300 units is the height

Step-by-step explan

you do 500-(-500) for the wideness, 1000 and for height, 0-(-300) is 300

The scale factor is 1/3

The correct answer is 1/3

:))

The scale factor of the given dilation is 1/3

To change the size of a figure without changing the figure's shape, we use a exact number or factor which is called scale factor.

Dilated figure = Original figure × Scale factor

In the diagram,

Co-ordinate of the point V in original triangle is (3, - 6)

Co-ordinate of the point V' in dilated triangle is (1, -2)

We know that, if we multiply scale factor to the original co-ordinate then we get dilated co-ordinate.

Here, if we multiply 1/3 to the original co-ordinate V(3, - 6) then we get the dilated co-ordinate V' (3/3, -6/3) , i.e. V'(1, -2)

So, the scale factor is 1/3.

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Answer:

[tex]x^{2}-\frac{5\sqrt{3}}{2}x+3[/tex]

Step-by-step explanation:

we know that

The quadratic equation is equal to

[tex](1)(x-\frac{\sqrt{3}}{2})(x-2\sqrt{3})\\ \\=x^{2} -2\sqrt{3}x-\frac{\sqrt{3}}{2}x+3\\ \\=x^{2}-\frac{5\sqrt{3}}{2}x+3[/tex]      

Answer:

=[{(x+4)*5} + 4] * 5

Step-by-step explanation:

If x is input

Adding 4

=x+4

then multiplying by 5

=(x+4)*5

Giving the result of first run in second will give

=[{(x+4)*5} + 4] * 5

Answer:

Step-by-step explanation:

The standard form of an equation of a circle:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

(h, k) - center

r - radius

We have:

[tex](x-2)^2+(y+3)^2=9\\\\(x-2)^2+(y-(-3))^2=3^2[/tex]

a) center (2, -3)

b) radius r = 3

c) in the attachment

The answers are:

The equation of a circle centered in the point (a, b) of radius R is given by:

(x - a)^2 + (y - b)^2 = R^2

Then for the equation:

(x-2)^2+(y+3)^2 = 9 = 3^2

We can see that:

a) The center is the point (2, -3)

b) The radius is R = 3, and the diameter is twice the radius, so it is equal to 6.

c) The graph can be seen below:

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Answer:

Your answer is B.

Step-by-step explanation:

4 x 2 = 8

I know this because 12 / 6 = 2.

Therefore, Sense it is divided by two, you multiply the 4 by 2.

Answer:

See below. An example is C = 0.2s.

Step-by-step explanation:

You can write an expression to represent any situation. Harlan makes a commission which is usually a percentage of the price. For example, if Harlan earns 20% on each purchase then when he sells a $100 he earns $20 of commission. For any price or cost on shoes s, this would be 0.2s. His commission C = 0.2s.

Answer:

x < -1.8

Step-by-step explanation:

First, subtract 2.4 from each side, you will get 3x > -5.4

Second, divide by 3 on both sides, this will make the > turn into <.

Finally you will end up with x < -1.8.

Mark brainliest plz!

Answer:

The answer to 3x+2.4 > 3.0 is x > 0.2

Step-by-step explanation:

Answer:

Period, but I have to add more characters so it'll let me post this answer.

Period gives the horizontal length of one cycle of a periodic function as 2π.

Given that,
To determine which term gives the horizontal length of one cycle of a periodic function.

Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
In the periodic function 1 period is consist of 2π on the horizontal axis, so, the period represents the horizontal length of the periodic function.

Thus, Period gives the horizontal length of one cycle of a periodic function as 2π.

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Answer:

y = 5x

Step-by-step explanation:

20 = 5(4)

20 = 20

Since they directly vary, this is a linear equation, and the slope is 5.

y = mx + b

y = 5x + b

20 = 20 + b

b = 0

So the equation is

y = 5x

Answer:

The final price is $34.83

Step-by-step explanation:

we know that

1) The original price is $64.50

2) Is now on sale for 1/10 off

so

the new price is

$64.50(1-0.10)=$58.05

3) Get an additional 40%

$58.05(1-0.40)=$34.83

Answer: 15 Inches

Step-by-step explanation:Remember that the Perimeter of a rectangle is the distance around it.

So,

    Perimeter = Length + Width + Length + Width

or

     P = 2L + 2W

If P=42 inches and W = 6 inches,

    42 = 2L + 2(6)

    42 = 2L + 12

    30 = 2L              [subtract 12 from both sides]

    15 = L               [divide both sides by 2]

The length (L) is 15 inches.

The length (L) is 15 inches. so the correct option is B.

Its the sum of length of the sides used to made the given figure.

It is given that the Perimeter of a rectangle is the distance around it.

Given that the perimeter of a rectangle is 42 inches. If the width of the rectangle is 6 inches then we need to find the length.

So,

The Perimeter = Length + Width + Length + Width

Let the length of the rectangle = l

the width of the rectangle = w

or P = 2L + 2W

If P=42 inches and W = 6 inches,

42 = 2L + 2(6)

42 = 2L + 12

30 = 2L            

L = 15

Hence, The length (L) is 15 inches.

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5×4 is 20. So I figure 9×4 is 36. 36 minutea

Answer: 20 minutes

Step-by-step explanation:

Imagine that each person is assigned one wall, and all 5 people begin painting at the same time.

Since everyone will finish painting their assigned wall after 20 minutes, it takes one person 20 minutes to paint one wall.

If we have 9 people and 9 walls, we can again assign one wall to each person.

Everyone will take 20 minutes to paint their assigned wall.

In other words, it takes 20 minutes for 9 people to paint 9 walls.

Answer:

Look for where both functions have the same y value. For example, when x = 3 in #7, both are 5. So the solution is (3,5).

Step-by-step explanation:

Each table has two functions. This forms a system of equations. A system of equations is essentially two conditions that must both be met to produce a solution. A solution can be found as where the two equations are equal. In the table, look for where both functions have the same y value for some x. This will be where the values are the same in the same row. This is the solution and is written as an (x,y) point.

7. When x = 3 both functions are 5. The solution is (3,5).

Tim is 9 years old, and Amy is 18 years old. We found this by dividing 54 by 6 and 3 respectively, based on the given equations 6T = 54 and 3A = 54.

To solve the problem involving Tim and his sister Amy's ages, we need to set up equations based on the information given. The problem states that six times Tim's age is 54 and that three times Amy's age is also 54.

Let's let T represent Tim's age and A represent Amy's age. We can set up the following two equations based on the problem:

To find Tim's age, we divide both sides of the first equation by 6:

T = 54 / 6

T = 9

So, Tim is 9 years old.

To find Amy's age, we divide both sides of the second equation by 3:

A = 54 / 3

A = 18

So, Amy is 18 years old.

Answer:

m = 1/3

Step-by-step explanation:

The equation of a straight line is given by the equation of the form;

y = mx+c

The slope of the line is simply the coefficient of x in the equation, m in this case. The given equation can be re-written as;

y = 1/3 x + 4

The coefficient of x is 1/3 which is also the slope.

Answer:

The correct option is:  A.  463 square units.

Step-by-step explanation:

According to the given diagram, the side length of the regular octagon is 11 units.

So, the perimeter[tex](p)[/tex] of the octagon [tex]=(11\times 8)units= 88\ units[/tex]

The apothem[tex](a)[/tex] of the octagon is 13.28 units.

So, the area of the octagon:  [tex]A=\frac{1}{2}pa=\frac{1}{2}(88)(13.28)=584.32\ units^2[/tex]

Now, the side length of the inside square is 11 units. So, the area of the square  [tex]=(11)^2 =121\ units^2[/tex]

Thus, the area of the shaded region [tex]=(584.32-121)units^2=463.32\ units^2 \approx 463\ units^2[/tex]

Answer:

for 5 hours: b is 6

for 5 minutes: b is 4

60 times more skin in 5 hours than 5 minutes

Step-by-step explanation:

I think it should be written as a x 10^b, so I'm going to answer it that way.  

3 x 10^6 = 5 times 10^6

   10^6 = 1,000,000, so we have 3 x 1,000,000 = 3,000, 000

5 x 10^4 = 5 times 10^4

   10^4 = 10,000, so we have 5 x 10,000 = 50, 000

For part 3, divide 3 million by 50 thousand to find the scalar multiple

   3,000,000/50,000 = 300/5 = 60

Answer:

The approximate number of particles of skin a human can shed in five hours can be written in the form a × 10b, where a is 3 and b is 6.

The approximate number of particles of skin a human can shed in five minutes can be written in the form a × 10b, where a is 5 and b is 4.

Humans shed approximately 60 times more particles of skin in five hours than in five minutes.

Step-by-step explanation:

In scientific notation, a number can be written in the form, a × 10b, where a is a number that must be greater than or equal to 1, but less than 10, and b is any integer.

First, write the approximate number of particles of skin a human can shed in five hours in scientific notation. This number is three million which can be written in the form a × 10b, where a is 3 and b is 6.

Next, write the approximate number of particles of skin a human can shed in five minutes in scientific notation. This number is fifty thousand which can be written in the form a × 10b, where a is 5 and b is 4.

Then, divide the approximate number of particles a human can shed in five hours by the approximate number of particles a human can shed in five minutes to find out how many times more skin is shed in five hours than in 5 minutes.

Therefore, humans shed approximately 60 times more particles of skin in five hours than in five minutes.

The correct option is B.

The exact circumference of a circle with radius X/2 miles is Xπ miles.

To find the circumference of a circle, we use the formula: Circumference (C) = 2πr, where r is the radius of the circle. Given that the radius is X/2 miles, we substitute this value into the formula:

C = 2π × (X/2)

  = Xπ miles

Therefore, the exact circumference of the circle with radius X/2 miles is Xπ miles.

The correct answer is B) xπ miles.

In summary, to find the circumference, we simply multiply the radius (X/2) by 2π, which gives us Xπ miles. This answer aligns with option B) xπ miles.

The complete question is here:

Find the exact circumference of a circle with the given radius.

X/2 miles

C = _____

A) ¼xπ miles

B) xπ miles

C) 2xπ miles

Answer:

(1, 5)

Step-by-step explanation:

You need a point in the shaded region that is not on the line of the graph.

The points can't be on the line because the line is a dotted line, which means there is either a < or > sign in the inequality, so the solutions are strictly less than or greater than the values on the line.

 Points A and B are on line so they aren't solutions.

Point (5, -5) is below the line, so that isn't a solution for this equation either

Point (1, 5) is in the shaded region, so it's a solution

Answer:

∠FOD = 85°

Step-by-step explanation:

∠AOC = ∠AOB + ∠BOC = 35° + 50° = 85°

∠AOC and ∠FOD are opposite angles and congruent, hence

∠FOD = 85°

Answer:

The distance between Saugerties and Kingston is 10 miles.

Step-by-step explanation:

4*2.5 = 10.

Answer:

$618.80

Step-by-step explanation:

If the tablet is on sale for 15% off, you pay 85% of the original price.

85% of $700 is

700(0.85) = $595

You pay 4% sales tax on $595, which is

$595(0.04) = $23.80

The total cost you pay is $595 + $23.80 = $618.80

6x2+1<

6x2<-1

=×2<=-1/6 B is the answer

Answer:

6x2+1<

6x2<-1

=×2<=-1/6

Step-by-step explanation:

B is the answer