What is the solution to the equation 3 x+ 2 = -x-57
X=-8
o x=-7
o x=7
O X=8

Answer:

2.5

Step-by-step explanation:

1/2x5=?

5/2=?

2.5=?

Answer:

[tex]\boxed{2.5}[/tex]

Step-by-step explanation:

=> [tex]\frac{1}{2} of 5[/tex]

The word "of" means "to multiply"

=> [tex]\frac{1}{2} * 5[/tex]

=> [tex]\frac{1*5}{2}[/tex]

=> [tex]\frac{5}{2}[/tex]

=> 2.5

Answer: 28

Step-by-step explanation:

The shape is grouped into 4 identical parallelograms.  

Thus, as the combined area of the figure is 308, you can divide 308/4 to get 77.  Thus, each parallelogram has an area of 77.

Then, divide 14/2 to get that the height of each parallelogram is 7.  

The area of a parallelogram is l*w.  Thus, because l = 7, each parallelogram has a width of 11 because 77/7 = 11.  

Then, simply add 11+11+6 to get y.

Hope this helps <3

Answer: scalene, right

Step-by-step explanation:

None of the side lengths of the triangle are equal, so the triangle is scalene.

This triangle also has a right angle, so it is a right triangle.

Answer:

D. And E.

Step-by-step explanation:

It is a right triangle because it has a corner that is 90 degrees. It is also scalene because all of the sides and angles have different values.

Answer:

Around 10/3 or 3.33 times farther.

Step-by-step explanation:

We simply divide the larger distance by the smaller distance to find our ratio:

2(10⁸)/6(10⁷)

10/3

*Remember when you divide exponents, you subtract them

Answer:

Step-by-step explanation:

x

+

2

y

=

6

Subtract  

x

from both sides of the equation.

2

y

=

6

−

x

Divide each term by  

2

and simplify.

Tap for more steps...

y

=

3

−

x

2

Answer:

x=2y-6

Step-by-step explanation:

To solve for x, we need to have one more equation, as there are two variables; x and y. But, we can still get it to this point.

First, we need to get x on to one side.

x=-2y-6

That is all we can do from here.

If you provide another corresponding equation, we can solve for x.

Hope this provides some guidance!!

~gloriouspurpose~

Answer:

144 cm^2

Step-by-step explanation:

8x6+4x10+4x8+4x6

48+40+32+24

80+40+24

120+24

144

Answer:

Option D is correct.

The equation with roots 3 plus or minus square root 2 is x² - 6x + 7

Step-by-step explanation:

The roots of the unknown equation are

3 ± √2, that is, (3 + √2) and (3 - √2)

The equation can then be reconstructed by writing these roots as the solutions of the quadratic equation

x = (3 + √2) or x = (3 - √2)

The equation is this

[x - (3 + √2)] × [x - (3 - √2)]

(x - 3 - √2) × (x - 3 + √2)

x(x - 3 + √2) - 3(x - 3 + √2) - √2(x - 3 + √2)

= x² - 3x + x√2 - 3x + 9 - 3√2 - x√2 + 3√2 - 2

Collecting like terms

= x² - 3x - 3x + x√2 - x√2 - 3√2 + 3√2 + 9 - 2

= x² - 6x + 7

Hope this Helps!!!

Answer:

D. -4

Step-by-step explanation:

f(x) = 4x - 20

f(4) = 4(4) - 20

f(4) = 16 - 20

f(4) = -4

Answer: -4

Step-by-step explanation: f ( x ) = 4x - 20

just replace the x with 4 and solve

4 ( 4 ) - 20

16 - 20

= -4

Answer:

2 cm

10 cm

Step-by-step explanation:

14/7 = 2

This helps to find because area of rectangle = bh or base times height.

A = 1/2 bh

30 = 1/2 b 6

30 = 3b

b = 10

Answer:

b = 2 cm

b = 10 cm

Step-by-step explanation:

Area of a Rectangle: A = lw

Area of a Triangle: A = 1/2bh

We are given area and length, so simply plug it in:

14 = 7w

w = 2 cm

We are given area and height, so simply plug it in:

30 = 1/2(6)(b)

30 = 3b

b = 10 cm

Answer:

f^-1(x) = _x__

               5

Step-by-step explanation:

Answer:

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

Step-by-step explanation:

f(x) = 5x

To find f^-1(x) equate f(x) to y

That's f(x) = y

y = 5x

Interchange the variables

x = 5y

Make y the subject by dividing both sides by 5

y = x/5

The final answer is

f^-1(x) = x/5

Hope this helps you.

Answer:

16.59

Step-by-step explanation:

Given:

[tex](ax+b)(bx+a)=26x^2+\Box\cdot x+26[/tex]

Expanding the left hand side, we have:

[tex](ax+b)(bx+a)=abx^2+a^2x+b^2x+ab\\=abx^2+(a^2+b^2)x+ab\\=26x^2+\Box\cdot x+26\\ab=26 \implies b=\frac{26}{a}[/tex]

Therefore:

[tex]a^2+b^2=a^2+\dfrac{26}{a} =\dfrac{a^3+26}{a}[/tex]

To find the minimum value, we take the derivative and solve for its critical point.

[tex]\frac{d}{da} (\frac{a^3+26}{a})=\frac{2a^3-26}{a^2}\\$Setting the derivative equal to zero, we have:\\2a^3-26=0\\2a^3=26\\a^3=13\\a=\sqrt[3]{13}[/tex]

Recall that:

[tex]\Box=a^2+b^2=\dfrac{(\sqrt[3]{13}) ^3+26}{\sqrt[3]{13}}\\=\dfrac{13+26}{\sqrt[3]{13}}\\\\\Box=16.59[/tex]

The minimum possible value of the coefficient of x is 16.59.

Answer:

173

Step-by-step explanation:

For sympliciy let the box equal y.

Expanding the left side we get (a*x+b)(b*x+a) = (a*b*(x)^2 + (a^2 + b^2)x + a*b). Hence we have that  (a*b*(x)^2 + (a^2 + b^2)x + a*b) = 26*(x)^2 + x*y + 26. Scince the coefficients of like terms in our equation must be equal, ab=26. Hence (a,b) = (1,26),(26,1),(-1,-26),(-26,-1),(2,13),(13,2),(-2,-13),(-13,-2). Since a^2 + b^2 = y we can see that the only 2 values of y are 677 and 173 (by simply plug in the values of (a,b)), taking the smaller of the two our answer is [173].

Answer:

x=0

Step-by-step explanation:

(x^2 + 4x) - 2x = x^2 +x

Combine like terms

x^2 +2x = x^2 +x

Subtract x^2 from each side

2x =x

Subtract x from each

2x-x = x-x

x = 0

Answer:

[tex]x=0[/tex]

Step-by-step explanation:

[tex]x^2+4x-2x=x^2+x[/tex]

Combine like terms.

[tex]x^2+2x=x^2+x[/tex]

Add [tex]-x^2[/tex] and [tex]-2x[/tex] on both sides.

[tex]x^2+2x-x^2-2x=x^2+x-x^2-2x[/tex]

[tex]0=x-2x[/tex]

[tex]0=-1x[/tex]

Divide both sides by [tex]-1[/tex].

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

[tex]0=x[/tex]

Answer:

The p -value for the hypothesis test is 0.003.

Step-by-step explanation:

In this case, a paired t-test would be used to determine whether the drug  increases blood pressure.

The hypothesis can be defined as follows:

H₀: The drug has no effect on blood pressure, i.e. d = 0.

Hₐ: The drug increases blood pressure, i.e. d > 0.

The information provided is:

[tex]n=32\\\bar d=2.5\\S_{d}=4.8[/tex]

The test statistic is:

[tex]t=\frac{\bar d}{S_{d}/\sqrt{n}}[/tex]

  [tex]=\frac{2.5}{4.8/\sqrt{32}}\\\\=2.9463\\\\\approx 2.95[/tex]

The degrees of freedom of the test is:

[tex]df=n-1=32-1=31[/tex]

The p-value of the test is:

[tex]p-value=P(t_{31}>2.95)=0.003[/tex]

*Use a t-table.

Thus, the p -value for the hypothesis test is 0.003.

A t-test is an inferential statistic that is used to see if there is a significant difference in the means. The p-value for the hypothesis test is 0.003.

A t-test is an inferential statistic that is used to see if there is a significant difference in the means of two groups that are connected in some way.

As it is given that 32(n) subjects in the study had an average change in blood pressure of 2.5([tex]\bar d[/tex]) with a standard deviation of 4.8([tex]S_d[/tex]).

Now, in order to solve the problem we need to use t-test, the test will determine whether the blood pressure increases or not under the influence of the drug.

The hypothesis for the test can be defined as:

H₀: The drug has no effect on blood pressure, therefore, d = 0.

Hₐ: The drug has increased blood pressure, therefore, d>0.

The test static is:

[tex]t = \dfrac{\bar d}{\dfrac{S_d}{\sqrt n}}\\\\\\t = \dfrac{2.5}{\dfrac{4.8}{32}} = 2.946 \approx 2.95[/tex]

Further, the degree of freedom of the test can be written as,

[tex]d_f=n-1 = 32-1=31[/tex]

Thus, the p-value of the test is:

[tex]p-value = P(t_{31} > 2.95)\\\\\text{Using the t-table}\\\\p-value = 0.003[/tex]

Hence, the p-value for the hypothesis test is 0.003.

Learn more about T-test:

https://brainly.com/question/1189751

Answer:

c

Step-by-step explanation:

area of a circle = πr²

area = A²

A =√ 12π

A = 2 √ 3π

Answer:

1/25

Step-by-step explanation:

The probability of drawing a blue marble, replacing it, then drawing a yellow marble is 1/25.

Given,

A bag contains four red marbles, six green marbles, eight yellow marbles, and two blue marbles.

We need to find the probability of drawing a blue marble, replacing it, then drawing a yellow marble.

A combination is used to select required items from a set where the order of selection does not matter.

It is given by:

n^Cr = n! / r! (n-r)!

Where n = the number of elements present in a set.

Find the number of each marble.

Red marbles - 4

Green marbles - 6

Yellow marbles - 8

Blue marbles - 2

Find the probability of drawing a blue marble

P ( B ) = ^2C_1 / ^20C_1

          = (2! / 1!) / (20! / 19! 1!)

          = 2 / 20

          = 1/10

Find the probability of drawing a yellow marble

P ( Y ) = ^8C_1 / ^20C_1

          = (8! / 1! 7!) / (20! / 191 1!)

          = 8 / 20

          = 2 / 5

Find the probability of drawing a blue marble, replacing it, then drawing a yellow marble

Both the probability is independent so,

P = P ( B ) X P ( Y )

  = 1/ 10 X 2 / 5

  = 1 / 25

Thus the probability of drawing a blue marble, replacing it, then drawing a yellow marble is 1/25.

Learn more about the probability of two independent events here:

https://brainly.com/question/2289129

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Answer:

Step-by-step explanation:

All but first for every single x gives single y so the second, third and fourth are function

At first for x=2 we have two y (2 or -2) so this isn't function.

Answer:

I cant read that but I think its 1/2

Step-by-step explanation:

Answer:

x = 4sqrt(2)

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

x^2 + 7^2 = 9^2

x^2 +49 = 81

Subtract 49 from each side

x^2 = 81-49

x^2 =32

Take the square root of each side

sqrt(x^2) = sqrt(32)

x = sqrt( 16*2)

x = sqrt(16) sqrt(2)

x = 4sqrt(2)

Answer:

x = 4√2

Step-by-step explanation:

The triangle is a right triangle.

Use Pythagorean theorem.

a² + b² = c²

The sum of legs squared is the hypotenuse squared.

The hypotenuse (largest side) is 9.

The legs are 7 and x.

7² + x² = 9²

49 + x² = 81

x² = 81 - 49

x² = 32

x = √32

x = √16√2

x = 4√2

Answer:

b

Step-by-step explanation:

i solved it in my head.

Answer:

4 cm^2

4 cm

Step-by-step explanation:

8/2 = 4

4/2 = 2

each side of the square is 2 cm

sqrt. 16 = 4

4 cm

Answer:

43

Step-by-step explanation:

it looks the same as the other side

The required angle b is 43°.

It is required to find the  measure of angle b.

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle and corner whether constituting a projecting part or a partially enclosed space.

Given:

The measure of angle b is 43° due to vertically opposite angle.

Vertically opposite angles are angles that are opposite one another at a specific vertex and are created by two straight intersecting lines. Vertically opposite angles are equal to each other. These are sometimes called vertical angles.

Therefore, the required angle b is 43°.

Learn more details about angle here:

https://brainly.com/question/13954458

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Answer:

a) Lower bound = 39.5

b) Lower bound = 82.75

Answer:

t = 8; u = 14.

Step-by-step explanation:

If the two triangles are to be congruent, their side lengths and angles must be equal.

In this case, segment RQ corresponds with segment HI, and segment QS corresponds to segment IJ.

Since they are equal, we know that...

3u = u + 28

and

16t - 32 = 12t

Solve for both!

3u = u + 28

2u = 28

u = 14

16t - 32 = 12t

4t = 32

t = 8

So, t = 8 and u = 14.

Hope this helps!

Answer他媽的你你一個愚蠢的屁股妓女，你需要做你贏了他媽的作業傻瓜屁股

Step-by-step explanation:

Answer:

A: 6x⁸y⁵

B: 4x⁵z⁸

C: 48a¹²b⁵

D: 6s⁹t³

Step-by-step explanation:

When you multiply 2 exponents together, you add them. When you power an exponent, you multiply the 2 exponents together,

3x²2y⁴(2x⁶y)

6x⁸y⁵

xz³(4x⁴z⁵)

4x⁵z⁸

(4a³)²(3a⁶b⁵)

16a⁶(3a⁶b⁵)

48a¹²b⁵

6s⁵t(s⁴t²)

6s⁹t³

The correct answer is 160

And u have to do the question correctly...

Cuz I told u the answer......

Hope this helps......

Answer: B. rectangular pyramid

Answer:

r = 3x.

Step-by-step explanation:

The volume of the cylinder = πr^2 h

= π (2x)^2 9x

= 36x^3 π

This is also the volume of the sphere so

36 x^3 π  = 4/3  π r^3

36x^3 = 4/3 r^3

r^3 = 36 x^3 * 3/4

r^3 = 27 x^3

r = cube root of  27 x^3

r = 3x.

Answer:

45:40

Step-by-step explanation:

You take the first time and divide 60 by that number (60/4=15) Then you multiply it by the numbers of shoes being created (3*15=45) Repeat this for the other part and you have your answer

Answer:

Solution,

[tex] \frac{5}{8} = \frac{12}{g} \\ or \: 5 \times g = 12 \times 8 \: ( \: cross \: multiplication) \\ or \: 5g = 96 \\ or \: g = \frac{96}{5} \\ g = 19.2[/tex]

Hope this helps..

Good luck on your assignment...

Answer:

Step-by-step explanation:

5/8=12/g

*8      *8

5=12*8/g

*g    *g

5g=12*8=96

:5              :5

g=96/5

g=19.2

Answer:

4 lb

Step-by-step explanation: