HELP ME
solve x^4-17x^2+16=0
select all of the solutions to the original equation
x=4
x=-16
x=-4
x=16
x=-8
x=-1
x=1
x=8

She should use 72 ounces for solution a and 108 ounces foe solution b.

It is a several different unit of mass, weight or volume. And it is almost unchanged. It is a unit of weight in the avoirdupois system.

The number of ounces of solution a be x and the number of ounces of solution b be y.

x + y = 180, y = 180 - x

60x + 85y = 75(180)

60x + 85y = 135      

60x + 85y = 13500

60x + 85(180 - x) = 13500

60x + 15300 - 85x = 13500

-25x = -1800

x = 72ounces

y = 180 - 72

y = 108 ounces  

To know more about ounce, visit:

https://brainly.com/question/26950819

#SPJ4

Answer:75 degrees

Step-by-step explanation:

Since the 2 angles make a line the sum of the angles would equal 180 degrees. One of the angles is 105 so 180-105 is 75.

Answer:

The conjecture is;

"The quotient of two negative integers is a positive rational number"

Explanation:

Recall that negative divided by negative is equal to positive;

for the given question;

secondly;

Thirdly;

we can observe that all the quotient of two negative integers solved in the three questions above gave a positive rational number.

Therefore, The conjecture is;

"The quotient of two negative integers is a positive rational number"

Answer:

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

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (2, - 6 ) and (x₂, y₂ ) = (- 2, 4 )

m = [tex]\frac{4-(-6)}{-2-2}[/tex] = [tex]\frac{4+6}{-4}[/tex] = [tex]\frac{10}{-4}[/tex] = - [tex]\frac{5}{2}[/tex] , then

y = - [tex]\frac{5}{2}[/tex] x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (- 2, 4 ) , then

4 = 5 + c ⇒ c = 4 - 5 = - 1

y = - [tex]\frac{5}{2}[/tex] x - 1 ← equation of line

Answer:

7

Step-by-step explanation:

7 square is 49. 44 is 5 less than 49.

so the correct answer is 7

The values of x and y are: 24° and 58° respectively.

We know that vertically opposite angles are equal, so:

(5x+20) = (6x-4)

5x-6x = -4-20

-x=-24

x=24

hence x=24°

also, angles on a straight line adds up to 180°, so:

5x+20+y-18=180°

using x=24

5(24)+20+y-18=180°

120+20+y-18=180

140+y-18=180

y+122=180

y=180-122

y=58°

Hence the values of x and y are 24° and 58° respectively.

Learn more about Parallel lines here:

brainly.com/question/24607467

#SPJ1

Answer:

1.25 without the sales tax and tip

Step-by-step explanation:

The minimum length = 192ft, that Natalie must throw the javelin on her next throw in order to qualify for the final round.

Based on the given conditions,

The length of her javelin throws in the first round must be at least 195 feet.

She has 1 more throw left in the first round.

This list shows the length, in feet, of Natalie's first 7 javelin throws.

= 188, 204, 194, 195, 187, 201, 199

The minimum length is,

= 188 + 204 + 194 + 195 + 187 + 201 + 199

= 1368

Let us assume,

Final length = x

So,

We can write,

( x + 1368 ) / 8 ≥ 195

x + 1368 ≥ 195 * 8

We can multiply the coefficient,

x + 1368 ≥ 1560

x ≥ 1560 - 1368

We can sum or difference the coefficient,

x ≥ 192

This is Inequality function.

Equations and inequalities are mathematical sentences formed by relating two expressions to each other. In an equation, the two expressions are supposed to be equal and shown by the symbol =. Whereas in inequality, the two expressions are not necessarily equal and are indicated by the symbols: >, <, ≤ or ≥.

Therefore,

The minimum length = 192ft, that Natalie must throw the javelin on her next throw in order to qualify for the final round.

To learn more about information visit Inequality :

brainly.com/question/28823603

#SPJ4

Step-by-step explanation:

(a)

the cost function is

C(x) = 300 + 20x

(b)

the revenue function is

R(x) = 35x

(e)

the profit function

P(x) = R(x) - C(x) = 35x - 300 - 20x = 15x - 300

(d)

break-even is the point where C(x) and R(x) are equal :

C(x) = R(x)

300 + 20x = 35x

300 = 15x

x = 300/15 = 20

so, the break-even is only achieved when 20 units are produced and sold. and with more than 20 sold units the business would then make a profit.

per our restrictions only max. 19 units can be sold, so, the business will always be in the negative numbers (unless they cheat and sell virtual units that were never produced).

therefore, the product should not be produced at all.

Answer:

(x+6)/4

Step-by-step explanation:

We are given the following function:

f(x) = 4x-6

It can also be written as:

y = 4x - 6

Finding the inverse:

We have to exchange y with x, and then isolate y. It becomes:

Isolating y:

The inverse function is:

After doing some mathematical operations, the value of A is 3.465.

So, A = π(R² - r²):

Now, solve the expression as follows:

Therefore, after doing some mathematical operations, the value of A is 3.465.

Know more about mathematical operations here:

https://brainly.com/question/20628271

#SPJ9

The code is DHGB.

We are given four puzzles.

1. The equation of the line is : -4x + 2y = 8. The slope of the line is 2. We need to find the parallel line. The slope will be the same. The equation of the parallel line is y = 2x - 5. The code letter is D.

2. The slope of the line is [(3-2)/(0-3)] = -1/3. We need to find the perpendicular line. The slope will be the negative reciprocal. The slope of the perpendicular line is 3. The equation of the perpendicular line is y = 3x - 2. The code letter is H.

3. The slope of the line is [(2-(-2)/(0-(-1)] = 4. We need to find the parallel line. The slope will be the same. The equation of the parallel line is y = 4x - 7. The code letter is G.

4. The equation of the line is : 3x + y = 1. The slope of the line is -3. We need to find the perpendicular line. The slope will be the negative reciprocal. The slope of the perpendicular line is 1/3. The equation of the perpendicular line is y = (1/3)x + 2. The code letter is B.

To learn more about equations, visit :

brainly.com/question/10413253

#SPJ1

-2x = 28 - 6x --------------------------> Given

-2x + 6x = 28 - 6x + 6x------------------------------>Addition property of equality

4x = 28 -----------------------------------------> Simplification

4x/4 = 28/4 --------------------------------->Division property of equality

x = 7 --------------------------------------->Simplification

Answer:

 (b+3)+b=51

"b" is a smaller number, that is 24.

So a larger numer is 27

Step-by-step explanation:

L = b +3

L+b = 51

(b+3) + = 51

2b + 3 = 51 >> subtract 3 to both sides

2b = 48 >> divide by 2 to both sides

b = 24

Larger = b + 3= 24 + 3= 27

Answer:

-8 hours/week

Step-by-step explanation:

Erik = 4 hours/week

Little Brother = 12 hours/week

How many more hours does Eric ride his bike during the week than his little brother?

Erik - Little Brother = (4 hrs/wk - 12 hrs/wk)

Erik rides his bike -8 hours/week more than his little brother.

The coordinates of the circumcenter of the circle is (3,2)

In geometry, a polygon's circumscribed circle, also known as its circumcircle, is a circle that passes through each of the polygon's vertices.

4.The given coordinates are J(6,0) , K(0,0) and L(0,4) .

The coordinates of the circumcenter are (3,2)

5. The given coordinates are J(-6,6) , K(0,0) and L(-4,0) .

The coordinates of circumcenter are (-2,4)

To learn more about circumcenter visit:

https://brainly.com/question/16276899

#SPJ1

After several years of an 8% decrease, the house's value is $268,640 currently.

In this situation, the percentage decrease refers to the fractional devaluation of the property value.

We can compute the percentage decrease by directly determining the amount (absolute value in dollars) of the decrease or by indirectly determining the value after the decrease, using mathematical operations.

The initial value of the house = $292,000

The percentage decrease in value = 8%

The Decrease Value = $23,360 ($292,000 x 8%)

The Current Value of the house = $268,640 ($292,000 - $23,360) or {$292,000 x (1 - 8%)}

Thus, the house decreased by $23,360 or 8% and is currently worth $268,640.

Learn more about percentage decreases at https://brainly.com/question/2692313

#SPJ1

Answer:

x = 5

Step-by-step explanation:

Hey, sure thing! (: All of the angles in this triangle are equal, which means that this is an equilateral triangle, and since this is an equilateral triangle, then that means all sides must be equal to each other.

Now, let's set up an equation to show that.

2x + 11 = 6x - 9
    + 9         + 9
2x + 20 = 6x
- 2x          -2x
20 = 4x
4      4
x = 5

Tada! That's how we got the answer. Best of luck with the rest of your responsiblities! <3

Answer:

Step-by-step explanation:

equilateral triangle definition:

a triangle whose all three sides are of equal length and 3 congruent angles of 60°

so

2x + 11 = 6x - 9

2x - 6x = - 9 - 11

- 4x = -20

x = - 20 : (-4)

x = 5

------------------------------

check                (remember pemdas)

2 * 5 + 11 = 6 * 5 - 9

10 + 11 = 30 - 9

21 = 21

the answer is good

Using proportions, the solution to the given rule of three is as follows:

x = 0.61.

A proportion is a fraction of a total amount, and equations can be built to find the desired measures in the problem using a rule of three among the proportional amounts, using basic arithmetic operations such as multiplication or division.

The multiplication can be on the line or cross multiplication, depending if the variables are inverse or direct proportional, respectively.

In the context of this problem, the rule of three that represents the relation between the variables is:

1/x = 54/33

Supposing a direct relationship, we apply cross multiplication, hence the solution for x is found as follows:

54x = 33

x = 33/54

x = 0.61.

This problem is incomplete, hence we are going to suppose that we have to solve for x = alpha considering the drawing as a rule of three.

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ1

So we know that are three groups, and the second one had twice of apples that the first one, and the third group has six more than the first, so we have nine parts of the amount of the first group separated in the three groups, to have the 78 apples separated in all the groups we are going to need that the first group contain 78/9 apples, the second one contain 2*(78/9) = 156/9 apples and the third one contain 6*(78/9) = 468/9 apples.

So the answer is the first group contain 78/9 apples, the second one contain 2*(78/9) = 156/9 apples and the third one contain 6*(78/9) = 468/9 apples.

Answer:_______

____1 m8  

Answer:

m^8

Step-by-step explanation:

you basicly need to add those 2s because m² =m x

60

Step-by-step explanation:

y+60=100,100-60=40 so the value of y is 40 and 100 +2y=100+(2×40)=80 100+80=180

Answer:

Dude I wish I could help you

A

Step-by-step explanation:

The system of equations that represents the height of the seedling after x weeks is:

y = 6 + 1.5x

y = 8 + 1.4x

Two or more expressions with an equal sign are defined as an equation.

Given that, the tomato seeding is 6 inches tall and growing 1.5 inches per week, and the radish seedling is 8 inches tall and growing 1.4 inches per week.

Let x represent the number of weeks and y represent the total height.

The total height of the tomato seedling after x weeks is:

y = 6 + 1.5x

The total height of the radish seedling after x weeks is:

y = 8 + 1.4x

Hence, the system of equations that represents the height of the seedling after x weeks is:

y = 6 + 1.5x

y = 8 + 1.4x

Learn more about equations here:

https://brainly.com/question/10413253

#SPJ2

The length of the missing radius of the circle is found as 12 units.

For the given question;

As 16 unit line is  tangent on the circle, thus it makes 90 degrees angle with the radius of the circle.

The, the triangle formed is right angled triangle.

Using Pythagorean theorem.

H² = T² + R²

Where, H is the longest side called hypotenuse = 20 units.

T is the tangent = 16 units.

R is the radius of the circle.

Putting the values and simplifying.

R² = 20² - 16²

R² = 400 - 256

R² = 144

Taking square root both side,

r = 12 units.

Thus, the length of the missing radius of the circle is found as 12 units.

To know more about the tangent, here

https://brainly.com/question/11067500

#SPJ13

if we covert 4 cm/second into cm/minute we get answer as 240 centimeters per minute.

What is centimeter?

A centimeter is a unit of measurement that is one tenth of a meter or ten millimeters in the metric system. The length of an object is measured in centimeters, which are metric units of measurement. The abbreviation is cm.

We have given,

4 centimeters per second and we have asked to convert it in centimeters per minute.

We know that 1 minute contains 60 seconds.

It tells us that,

x cm/s = 60x cm/minute

4 cm/s = 60(4) cm/minute

4 cm/s = 240 cm/minute

To know more about centimeters, go to link

https://brainly.com/question/941878

#SPJ9

Complete Question

Convert 4 cm/s to cm/min

Answer:

The number is 9

Explanation:

So, the first thing you have to do is write out the problem. 2x+6x=72

Then, you combine like terms. 8x=72

Then, you have to isolate the variable, so you divide by 8 on both sides. 8x/8=72/8

Then, you have x=9, which is your answer.

Answer:

The number is 9.

Step-by-step explanation:

Framing the expression and solving:

     Let the number be 'x'.

Twice a number = 2x

 6 times the number = 6 *x = 6x

       2x + 6x = 72

Combine the like terms,

              8x = 72

Divide both sides by 8,

                  x = 72 ÷ 8

                  x = 9

[tex]\cfrac{x^2-9}{3x^2+8x-3}\div\cfrac{x-3}{x+2}\implies \cfrac{x^2-9}{3x^2+8x-3}\cdot \cfrac{x+2}{x-3}\implies \cfrac{\stackrel{\textit{diff. of squares}}{x^2-3^2}}{(x+3)(3x-1)}\cdot \cfrac{x+2}{x-3} \\\\\\ \cfrac{~~\begin{matrix} (x-3)(x+3) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{~~\begin{matrix} (x+3) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~(3x-1)}\cdot \cfrac{x+2}{~~\begin{matrix} x-3 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ }\implies \cfrac{x+2}{3x-1}[/tex]

Answer: |3.7| = 3.7 so the answer will be 3.7

Step-by-step explanation:

The number of groups of 3 and 1/3 in 6 and 1/6 are 37/20.

We can write the given mixed fraction in the form of an improper fraction form.

Mixed fraction

Mixed fractions are those fractions that are formed by combining a whole number with a fraction.

Improper fraction

A fraction with the numerator value greater than the denominator is known as an improper fraction.

Hence, we can write,

3 and 1/3 = 10/3 and,

6 and 1/6 = 37/6

To find the number of groups of 3 and 1/3 in 6 and 1/6, we will divide 6 and 1/6 by 3 and 1/3

Hence, we can write,

(37/6) ÷ (10/3) = (37/6)*(3/10) = 37/20

To learn more about improper fraction, here:-

https://brainly.com/question/21449807

#SPJ1