(x^2-2)^2-10(x^2-2)+21=0 find one value of x that is a solution to the equation

Answer:

the volume is 10.56 rounded is 11

Step-by-step explanation:

1/3*4*8=10.56

Answer:

Option C.

Step-by-step explanation:

The given function is g(x) = x² - 10x + 2x which is graphed on a coordinate plane.

We have to find the coordinates of the points at which function crosses x-axis.

As we know the points at which function crosses x-axis, y-coordinates will be 0/

In other words, g(x) = 0

So x² - 10 + 24 = 0

     x - 6x - 4x + 24 = 0

     x (x-6) - 4(x - 6) = 0

     (x-4) (x-6) = 0

     x = 4 and 6

So points at x-axis will be (4, 0 ) and ( 6, 0 )

Option C is the answer.

[tex]p-1=p^4+p^2+p-k[/tex]

[tex]-1=p^4+p^2-k[/tex]

[tex]\boxed{k=p^4+p^2+1}\Longrightarrow\boxed{p\in\mathbb{R}}[/tex]

Answer:

hello :  y = 3x² -24x +26 ......answer: C

Step-by-step explanation:

y = 3(x-4)² -22

by idetity : (x-4)² = x²- 8x+16

y = 3(x²- 8x+16 ) -22

y = 3x² - 24x +48 -22

y = 3x² -24x +26 ......answer: C

The first answer choice

A system of equations can be represented by a matrix equation. The coefficients of the equations are used to form the matrixes, which can then be solved simultaneously.

A system of equations can be represented by a matrix equation using the coefficients of the equations. Let's say you have the following system of equations, where 1. 3x + 2y is equal to 9, and 2. 4x + 5y is equal to 6.

We express this system in the form AX=B, where A is the matrix of coefficients, X is the column matrix of variables, and B is the column matrix of constants. So in this case:
A = [[3, 2], [4, 5]]
X = [x, y]
B = [9, 6].

Adding these together, we can form the matrix equation [[3, 2], [4, 5]] [x, y] = [9, 6]. This represents the given system of equations in matrix form.

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Answer:

x = 6

Step-by-step explanation:

5x - 10 = 2 - 2x + 10(x - 3)

Opening the brackets;

5x - 10 = 2 - 2x + 10x - 30

Putting the like terms together;

10x - 5x - 2x = 30 - 10 - 2

3x = 18

x = [tex]\frac{18}{3}[/tex] = 6

Final answer:

To find the value of x in the given equation, rearrange it to standard form, combine like terms, then isolate x to solve for its value.

Explanation:

Solving the equation: 5x-10=2-2x+10(x-3)

1. Rearrange the equation to standard quadratic form: 5x - 10 = 2 - 2x + 10x - 30

2. Simplify and combine like terms: 5x - 10 = -28 + 8x

3. Bring all terms to one side to get: 3x = 18

4. Solve for x: x = 18/3 = 6

It would be B, because you would do the inverse operation and add three to the opposite side, which would give you 6X = -48. Then, you can divide by 6, so X would be -8

Answer:

9. A. (3,-2)

10. B. 43°

11. D. 343 cm²

12. A. 15

Step-by-step explanation:

9.Coordinates for summit/vertex U (2,3) after a rotation of 270 degrees.

Rotating a figure by 270 degrees is exactly like rotating it -90 degrees, crossing down over the X-axis (at least for the two summits that are in the first Quadrant).

Doing so, what we do is invert the coordinate numbers (so 2,3 become 3,2) and we change the sign of the Y-value, since we are now in the 4th quadrant, in a negative Y-value domain.

So, vertex U (2,3) becomes (2,-3) after a 270 degrees rotation.

10. Parallelogram JKLM.  Determine angle L real value, using the expressions: ∠J =(6x + 7)° , ∠M =(y + 10)°  and  ∠L =(4x + 19)° ,

Since it's a parallelogram, we know that  ∠J =  ∠L, so we create an equation and solve it.

6x + 7 = 4x + 19

2x = 12

x = 6

Then we use that value inside the expression given for L:

∠L =(4x + 19)° = (4 (6) + 19)°  = (24 + 19)° = 43°

Answer is 43°

11. 2 similar trapezoidal prisms, 5 and 7 of sides respectively.  Surface area of the small one is 175 sq cm, what' the surface area of the larger one?

We know that the two prisms are similar.... so all respective sides will be in the same proportion.  We know the scale factor is 1.4 (7/5).

So, to calculate the surface area of any side, we'll have something like that:

SA = 1.4x * 1.4y = 1.96xy  (x and y representing the dimensions of the small prism)

So, the surface area of the large one is 1.96 times the one of the small one.

SA = 1.96 * 175 = 343

Answer is then D. 343 cm²

12. For the triangle shown, solve for x.

We know the angle facing the 25 units side is a right angle (90 degrees).

So, we can use the Law of Sines to solve this:

[tex]\frac{c}{sin(C)} = \frac{a}{sin(A)}[/tex]

Let's assume c = x, what we're looking for.  C is then 37 degrees.  A = 90 degres and a = 25.

We isolate c and solve:

[tex]c = \frac{a * sin(C)}{sin(A)} = \frac{25 * sin(37)}{sin(90)} = 15.05[/tex]

The length of x is 15.05 or 15, answer A.

Answer:Step-by-step explanation:

The sine of 35 degrees = x / 15

x = sine (35) * 15

x = 0.57358 * 15

x = 8.6037

Answer:

Step-by-step explanation:

Let b and g represent the number of boys and the number of girls respectively.

Then b + g = 22 (students), and g = b + 12.

Substituting b + 12 for g in b + g = 22 yields:

b + (b + 12) = 22

or:

2b + 12 = 22, or 2b = 10, so that b = 5.

Then g = b + 12 = 5 + 12 = 17.

There are 17 girls and 5 boys.

Question 1:

For this case, let the variable "x" be the number of girls in the classroom. Let the variable "y" be the number of boys in the classroom.

We propose the equations:

[tex]x + y = 22\\x = y + 12[/tex]

We substitute the second equation in the first:

[tex]y + 12 + y = 22\\2y = 22-12\\2y = 10\\y = 5[/tex]

So, in the classroom there are 5 boys.

[tex]x = 5 + 12\\x = 17[/tex]

So, there are 17 girls.

Answer:

5 guys

17 girls

Question 2:

For this case we have to:

Let x be the variable that represents the amount of money Jamie has.

Let y the variable that represents the amount of money that Kristen has

We have to:

[tex]x = 2y\\x + y = 36[/tex]

We substitute the first equation in the second:

[tex]2y + y = 36\\3y = 36\\y = \frac {36} {3}\\y = 12[/tex]

Looking for the value of x:

[tex]x = 2 (12)\\x = 24[/tex]

Answer:

So, Jaime you have $ 24 and Kristen you have $ 12.

Question 3:

For this case we have to:

Let "x" be the variable that represents the number of dogs in the Pet Stop.

Let "y" be the variable that represents the number of cats in the Pet Stop.

We have to:

[tex]x + y = 15\\4x = y[/tex]

We substitute the second equation in the first:

[tex]x + 4x = 15\\5x = 15\\x = \frac {15} {5}\\x = 3[/tex]

We look for the value of y:

[tex]y = 4x\\y = 4 (3)\\y = 12[/tex]

So, there are 12 cats and 3 dogs.

Answer:

12 cats

3 dogs

Answer:

Part A:

Since the slopes of the lines are not equal, the pair of equations for lines A and B will have one solution.

Part B:

(3 ,5 ) is the solution to the equations of lines A and B.

Step-by-step explanation:

Part A:

We are required to determine the number of solutions that the pair of equations for lines A and B have. To do this, we shall determine the slope of each line;

A straight line labeled A joins the ordered pair 2, 6 with the ordered pair 6, 2. The slope is defined as;

(change in y) / (change in x)

The slope of line A is thus;

(2 - 6)/(6 - 2) = -1

A straight line B joins the ordered pair 0, 3 with the ordered pair 4.5, 6.

On the other hand, the slope of line B is;

(6 - 3) / (4.5 - 0) = 2/3

Since the slopes of the lines are not equal, the pair of equations for lines A and B will have one solution.

Part B:

What is the solution to the equations of lines A and B?

We first need to determine the equation of each line;

Line A, the slope was found to be -1 and the line passes through (2,6)

The equation of the line in slope intercept form is;

y = -x + c

6 = -2 + c

c = 8

y = -x + 8

On the other hand, the slope of line B was found to be 2/3 and the line passes through (0,3). Therefore, we have;

y = 2/3x + c

3 = 2/3 (0) + c

c= 3

y = (2/3)x + 3

The graph of these two lines is shown in the attachment below. The lines intersect at (3 ,5 ) which is the solution to the equations of lines A and B.

The graphical solution to a system of linear equations is given by the point of intersection of the two lines representing each equation.

Answer:

Other guy is correct :)

Step-by-step explanation:

Answer:

$35.64

Step-by-step explanation:

First, add all the things she bought.

$5.78 + $19.87 + $24.99 = $50.64

Next, subtract the total with the $15 gift certificate.

$50.64 - $15 = $35.64.

Answer:

secΘ

Step-by-step explanation:

The reciprocal of cos x is

[tex]\frac{1}{cosx}[/tex] = sec x

reciprocal of cosΘ is secΘ

Answer:

The answer is secΘ

To find the cost of the magazine, represent the cost of each book as 'x'. Use the given information to set up an equation and solve for 'x'.

To find the cost of the magazine, let's represent the cost of each book as 'x'. Since the magazine costs twice as much as each book, we can represent the cost of the magazine as '2x'.

According to the problem, Ryan bought 3 books and a magazine and paid $30. We can write this information as an equation:

3x + 2x = 30

Combining like terms, we get:

5x = 30

To isolate the variable 'x', we divide both sides of the equation by 5:

x = 6

Therefore, each book costs $6 and the magazine costs twice as much, which is $12.

The cost of the magazine is $10.

Let's denote the cost of each book as B and the cost of the magazine as M. According to the given information:

Now, we also know that the magazine costs twice as much as each book, so M = 2B. Substitute M with 2B in the equations:

Now that we know the cost of each book (B = 6), we can find the cost of the magazine (M) using M = 2B:

M = 2 times 5 = 10

So, the cost of the magazine is $10.

Answer:

Yes, because he could divide by 3.14 to find the diameter and then divide that result by 2 to find the radius. Once he has the radius, he can use the formula.

Answer:

the answer is A

Step-by-step explanation:

Using it's concept, it is found that there is a [tex]\frac{3}{4}[/tex] probability that the red die shows an even number or the green die shows an even number.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

A die has six sides, of which three are even and three are odd, hence:

The "or probability" is given by:

[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]

Hence:

[tex]P(A \cup B) = \frac{1}{2} + \frac{1}{2} - \frac{1}{4} = \frac{3}{4}[/tex]

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Answer:

[tex]\boxed{\text{22.5 ft}^{2}}[/tex]

Step-by-step explanation:

Existing walkway

 l = 10 ft

w = 4 ft

A₁ = lw = 10 ft × 4 ft = 40 ft²

New walkway

Expanding a measurement by 25 % means that you multiply it by a factor of 1.25.

New length = 10 × 1.25 = 12.5 ft

New width =    4 × 1.25 =   5    ft

A₂ = lw = 12.5 ft × 5 ft = 62.5 ft²

Increase in area

A₂ - A₁ = 62.5 – 40 = 22.5 ft²

The increase in area is [tex]\boxed{\textbf{22.5 ft}^{2}}[/tex]

Answer:

[tex]\boxed{\text{3 in}}[/tex]

Step-by-step explanation:

1 in = 190 ft

x in = 570 ft

We can use ratio and proportion to solve this problem.

[tex]\begin{array}{cccl}\dfrac{1}{x} & = & \dfrac{190}{570} & \\\\570 & = & 190x & \text{Mutiplied by lowest common denominator (570x)}\\3 & = & x & \text{Divided each side by 3}\\\end{array}[/tex]

The building will be [tex]\boxed{\textbf{3 in}}[/tex] tall in the scale drawing.

Answer:

x = 70°

Step-by-step explanation:

The given triangle has 2 equal sides and is therefore isosceles.

The base angles are equal, both 55°

To find x subtract the sum of the 2 angles from 180

x = 180° - (55 + 55)° = 180° - 110° = 70°

Answer:

E. 45 miles

Step-by-step explanation:

The difference between the packages is $20. You would need to drive at least 40 miles since 40(0.5) =$20. The best answer is E. 45 miles

You would need to drive 37 miles for the first package ($120 flat rate per day) to be a better deal than the second package ($100 flat rate plus $0.55 per mile).

To determine how many miles you would need to drive for the first package to be a better deal, we need to set up an equation where the cost of both packages is equal. The first package costs a flat rate of $120 per day, while the second package costs a $100 flat rate plus $0.55 per mile. We can write these costs as equations:

To find the number of miles required to make the first package cost the same as the second, we set Cost1 equal to Cost2:
$120 = $100 + $0.55m

Solve for m:
$120 - $100 = $0.55m
$20 = $0.55m
m = $20 / $0.55
m = 36.36

Since we need a whole number of miles and it's not an option given in the multiple choices, we can conclude you would need to drive 37 miles for the first package to be the better deal, since after 36 miles, the second package becomes more expensive.

Answer:

D

Step-by-step explanation:

The dependent variable in the experiment will be the number of plants.

The dependent variable is the variable that is being measured or tested in an experiment. it is the variable whose value depends upon the other variables if we change that independent variable the value of the dependent variable changes.

here in the question dependent variable in the experiment will be the number of plants.

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Answer:

4/6

Step-by-step explanation:

this is going to be your answer because 2/6 is 1/3 cup and then 4/6 is 2/3 of a cup.

Answer:

$1057.69/week

Step-by-step explanation:

There are 52 weeks in a year.

Thus, the weekly pay is in the area of:

$55,000

------------------ = $1057.69/week

  52 weeks

Answer:

The gcf of 42 and 84 is 42. The lcm of 4 and 10 is 20.

Step-by-step explanation:

We will now calculate the prime factors of 42 and 84, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42 and 84.We found the factors and prime factorization of 42 and 84. The biggest common factor number is the GCF number.

So the greatest common factor 42 and 84 is 42.

The Least Common Multiple (LCM) of the numbers

4, 10

is

20

because 20 is the smallest number that all of the numbers divide into evenly.

The greatest common factor of 42 and 84 is 42

The least common multiple of 4 and 10 is 20

A factor refers to a number or an algebraic expression that divides another number or expression evenly, that is, with no remainder.

42 = 1, 2, 3, 6, 7, 14, 21 and 42.

84 = 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, and 84.

The greatest common factor of 42 and 84 is 42

least common multiple of 4 and 10

Find the multiples of 4 and 10

4 = 4, 8, 12, 16, 20, 24

10 = 10, 20, 30

The least common multiple of 4 and 10 is 20

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Answer: [tex]\frac{70}{3}[/tex]

Step-by-step explanation:

Given a fraction [tex]\frac{a}{b}[/tex] and a fraction [tex]\frac{c}{d}[/tex], you can find the product by multiplying the numerator of the first fraction by the numerator of the second fraction and the denominator of the first fraction by the denominator of the second one:

[tex]\frac{a}{b}*\frac{c}{d}=\frac{ac}{bd}[/tex]

Therefore, knowing this you can find the product of the fractions [tex](\frac{5}{3})(\frac{2}{3})(\frac{21}{1})[/tex]:

 [tex](\frac{5}{3})(\frac{2}{3})(\frac{21}{1})=\frac{5*2*21}{3*3*1}=\frac{210}{9}[/tex]

And finally you need to reduce the fraction:

[tex]=\frac{70}{3}[/tex]

Answer:

Final answer is [tex]\frac{70}{3}[/tex].

Step-by-step explanation:

Given expression is :

[tex]\left(\frac{5}{3}\right)\cdot\left(\frac{2}{3}\right)\cdot\left(\frac{21}{1}\right)[/tex]

Now we need to find their product. In other words simplify it

We can multiply numerator with numerator. Then denominator with denominator

[tex]\left(\frac{5}{3}\right)\cdot\left(\frac{2}{3}\right)\cdot\left(\frac{21}{1}\right)[/tex]

[tex]=\frac{5\cdot2\cdot21}{3\cdot3\cdot1}[/tex]

[tex]=\frac{210}{9}[/tex]

[tex]=\frac{70}{3}[/tex]

So the final answer is [tex]\frac{70}{3}[/tex].

The median of data set A is less that the median in data set B and the range of data set A is greater than the range of data set B

Sorry if I get it wrong; please rate my answer

Answer:

The volume of the pyramid is [tex]V=187\ ft^{3}[/tex]

Step-by-step explanation:

we know that

The volume of the pyramid is equal to

[tex]V=\frac{1}{3}BH[/tex]

where

B is the area of the base of the pyramid

H is the height of the pyramid

we have

[tex]B=93.5\ ft^{2}[/tex]

[tex]H=6\ ft[/tex]

substitute

[tex]V=\frac{1}{3}(93.5)(6)=187\ ft^{3}[/tex]

Answer:The answer is 187 ft to the 3 power

-2 + -2 is the same as -2-2=-4

So is a negative number

Answer:Your answer would be a negative number.

?=6

?=-22

each of them add or subtract 12

Answer: 20%

Step by Step Explanation:

Start by subtracting 519.29 from 649, you would get 129.8

Then take 129.8 and divide that by 649.

You get 0.2 which equals 20%

Tip: To find the percent of a fraction you divide the numerator by the denominator. For example, if you want to find the percent on a test, and you get a 8/10 you just divide 8 by 10. Which obviously equals 80.

Answer:

1.25

Step-by-step explanation:

$649 ÷ 1.25 = $519.20 Double check your answer over by doing the following step.. $519.20 × 1.25 = $649