2/9 * 5/6
Multiply. Write the answer as a fraction in simplest form.

Answer:

2,-2

Step-by-step explanation:

firsr number = x

second number = 2x-6

x+2x-6=0

3x-6=0

3x=6

x=2

first number=x=2

second number=2x-6=-2

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following data:

First round of scores :

71 65 67 73 74 73 71 71 74 73 71 70 75 71 72 71 75 75 71 71 74 75 66 75 75 75 71 72 72 73 71 67

STEM AND LEAF PLOT of 1st ROUND SCORES:

Stem - - | - - Leaf

______________

6 - - - | - - 5 6 7 7

7 - - | - - 0 1 1 1 1 1 1 1 1 1 1 2 2 2 3 3 3 3 4 4 4 5 5

- - - | - - 5 5 5 5 5

Second round scores :

69 69 73 74 72 72 70 71 71 70 72 73 73 72 71 71 71 69 70 71 72 73 74 72 71 68 69 70 69 71 73 74

STEM and LEAF PLOT of 2nd ROUND SCORES:

Stem - - | - - Leaf

______________________________

6 - - | - - 8 9 9 9 9 9

7 - - | - - 0 0 0 0 1 1 1 1 1 1 1 1 2 2 2 2 2 2 3 3 3 3 3

- - - | - - 4 4 4

Both set of data have similar shape, showcasing what we can call a negative skew with the tail to the leaf and peak to the right of the distribution.

Answer:

8

Step-by-step explanation:

Just flip it up... it will be 8

Answer:

0.125

When you multiply fractions, multiply numerators to find solution numerator, then multiply denominators to find solution of denominator. Divide your fractions, multiply the first fraction by reciprocal of the second fraction. It can be crossed multiplied.

Answer:

y=13

Step-by-step explanation:

Answer:

y = 3x-5

Step-by-step explanation:

[tex](-1,-8) = (x_1,y_1) \\ m = 3[/tex]

Substitute values into point slope form

[tex]y - y_1 = m(x - x_1) \\ y - ( - 8)) = 3(x - ( - 1)) \\ y + 8 = 3(x + 1) \\ y + 8 = 3x + 3[/tex]

[tex]y = 3x + 3 - 8 \\ y = 3x - 5[/tex]

Answer:

y=3x-5

Step-by-step explanation:

We are given a point and a slope, so we can use the point-slope formula.

[tex]y-y_{1}=m(x-x_{1})[/tex]

where m is the slope and (x₁, y₁) is the point.

The slope is 3 and the point given is (-1,-8). Therefore,

[tex]m=3 \\x_{1} =-1\\y_{1}=-8[/tex]

Substitute the values into the formula.

[tex]y-y_{1}=m(x-x_{1})[/tex]

[tex]y--8=3(x- -1)[/tex]

Simplify the signs. Two negative signs become a positive sign.

[tex]y+8=3(x+1)[/tex]

Distribute the 3. Multiply each term inside the parentheses by 3.

[tex]y+8= (3*x)+(3*1)[/tex]

[tex]y+8=3x+3[/tex]

We want to find the equation in slope-intercept form: y=mx+b. Therefore, we must isolate y. 8 is being added to y. The inverse of addition is subtraction. Subtract 8 from both sides.

[tex]y+8-8=3x+3-8[/tex]

[tex]y=3x+3-8[/tex]

[tex]y=3x-5[/tex]

The equation of the line is y=3x-5 ⇒ m= 3, b= -5

Answer:

the length is 360 feet and the width is 120 feet.

Step-by-step explanation:

Set up an equation with the area formula, A = lw

The width can be represented by x, and the length can be represented by 3x since it is 3 times the width

43,200 = (3x)(x)

43,200 = 3x²

Solve for x:

14,400 = x²

120 = x

So, the width is 120 feet.

The length is 3 times this, so multiply the width by 3 to find the length

120(3)

= 360

So, the length is 360 feet and the width is 120 feet.

Answer:

The correct answer is A) $105

Step-by-step explanation:

In this real-world problem,  the cost to groom both dogs is (the puppy) + (the adult dog) = x.

For the first step, y = 40, if x <= 25.

y = 50, if 25 < x < 50.

if x >= 50, then y = 0.50x + 25

So therefore, substitute the puppy + adult dog = x

25 + 80 = x

105 = x

So, the final answer is $105.

It's on Edgen.

Answer:

A) 105

Step-by-step explanation:

Edg Brainliest

Answer:

All real numbers.

Step-by-step explanation:

So we have the equation:

[tex]6y-8=2(3y-4)[/tex]

First, distribute the right side:

[tex]6y-8=6y-8[/tex]

As we can see, both expressions on both sides of the equation are the exact same. In other words, every value of y will make the equation true. Thus, the answer is all real numbers.

Answer:

infinite solutions

Step-by-step explanation:

1 solution means that only 1 number can replace that variable

No solution means that no numbers can replace that variable. If the 2 sides of the question cannot be solved or they are different, then that equation has no solutions.

Infinite solution means that any number can replace that variable. If the 2 sides of the equation the same, then it is an infinite solution.

6y - 8 = 2(3y - 4)

=> 6y - 8 = 6y - 8

Since both sides of the equations are the same, "y" can be any number.

So, this equation has infinite solutions.

Answer:

[tex]P = 10 + 2\sqrt{53}[/tex] units

Step-by-step explanation:

Given

Shape: Kite WXYZ

W (-3, 3),  X (2, 3),

Y (4, -4),  Z (-3, -2)

Required

Determine perimeter of the kite

First, we need to determine lengths of sides WX, XY, YZ and ZW using distance formula;

[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]

For WX:

[tex](x_1, y_1)\ (x_2,y_2) = (-3, 3),\ (2, 3)[/tex]

[tex]WX = \sqrt{(-3 - 2)^2 + (3 - 3)^2}[/tex]

[tex]WX = \sqrt{(-5)^2 + (0)^2}[/tex]

[tex]WX = \sqrt{25}[/tex]

[tex]WX = 5[/tex]

For XY:

[tex](x_1, y_1)\ (x_2,y_2) = (2, 3)\ (4,-4)[/tex]

[tex]XY = \sqrt{(2 - 4)^2 + (3 - (-4))^2}[/tex]

[tex]XY = \sqrt{-2^2 + (3 +4)^2}[/tex]

[tex]XY = \sqrt{-2^2 + 7^2}[/tex]

[tex]XY = \sqrt{4 + 49}[/tex]

[tex]XY = \sqrt{53}[/tex]

For YZ:

[tex](x_1, y_1)\ (x_2,y_2) = (4,-4)\ (-3, -2)[/tex]

[tex]YZ = \sqrt{(4 - (-3))^2 + (-4 - (-2))^2}[/tex]

[tex]YZ = \sqrt{(4 +3)^2 + (-4 +2)^2}[/tex]

[tex]YZ = \sqrt{7^2 + (-2)^2}[/tex]

[tex]YZ = \sqrt{49 + 4}[/tex]

[tex]YZ = \sqrt{53}[/tex]

For ZW:

[tex](x_1, y_1)\ (x_2,y_2) = (-3, -2)\ (-3, 3)[/tex]

[tex]ZW = \sqrt{(-3 - (-3))^2 + (-2 - 3)^2}[/tex]

[tex]ZW = \sqrt{(-3 +3)^2 + (-2 - 3)^2}[/tex]

[tex]ZW = \sqrt{0^2 + (-5)^2}[/tex]

[tex]ZW = \sqrt{0 + 25}[/tex]

[tex]ZW = \sqrt{25}[/tex]

[tex]ZW = 5[/tex]

The Perimeter (P) is as follows:

[tex]P = WX + XY + YZ + ZW[/tex]

[tex]P = 5 + \sqrt{53} + \sqrt{53} + 5[/tex]

[tex]P = 5 + 5 + \sqrt{53} + \sqrt{53}[/tex]

[tex]P = 10 + 2\sqrt{53}[/tex] units

C is the answer.

That is all.

Answer:

(-inf,-10] U [-6,inf)

Step-by-step explanation:

separate into possible cases

q+8≥2, q+8≥0

-(q+8)≥2, q+8<0

solve inequalities

x≥-6, x≥-8

x≤-10, x<-8.

Answer:

B

Step-by-step explanation:

ANOVA means analysis of variance

The independent variable is the input that explains the dependent variable.

The dependent variable is called the response

Answer is something I’m not sure of

Bello's share is greater than Okpala's and Olu's shares combined by a fraction of 1/6 of the total sum of money.

Here, we have,

Let's assign variables to represent the shares of Okpala, Olu, and Bello.

Let M be the total sum of money.

Okpala's share = (1/6)M

Olu's share = (1/4)M

Bello's share = M - Okpala's share - Olu's share

To find the fraction of the money by which Bello's share is greater than Okpala's and Olu's shares put together, we need to calculate the difference between Bello's share and the sum of Okpala's and Olu's shares, and then express it as a fraction of the total sum of money M.

Bello's share - (Okpala's share + Olu's share) = (M - Okpala's share - Olu's share) - (Okpala's share + Olu's share)

= M - Okpala's share - Olu's share - Okpala's share - Olu's share

= M - 2(Okpala's share) - 2(Olu's share)

= M - 2[(1/6)M] - 2[(1/4)M]

= M - (1/3)M - (1/2)M

= M - (2/6)M - (3/6)M

= M - (5/6)M

= (1/6)M

Now, let's express this difference as a fraction of the total sum of money M:

Fraction of Bello's share greater than Okpala's and Olu's shares

= [(1/6)M] / M

= (1/6)

Therefore, Bello's share is greater than Okpala's and Olu's shares combined by a fraction of 1/6 of the total sum of money.

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Answer:

[tex] \boxed{ \bold{ \huge{\boxed{ \sf{28 \frac{3}{4} }}}}}[/tex]

Step-by-step explanation:

[tex] \sf{63 \frac{1}{4} \div 2 \frac{1}{5} }[/tex]

Convert mixed fraction into improper fraction

⇒[tex] \sf{ \frac{63 \times 4 + 1}{ 4} \div \frac{5 \times 2 + 1}{5} }[/tex]

⇒[tex] \sf{ \frac{252 + 1}{4} \div \frac{10 + 1}{5} }[/tex]

⇒[tex] \sf{ \frac{253}{4} \div \frac{11}{5} }[/tex]

We know that division by fraction is the inverse of multiplication. If any number or fraction is divided by a fraction, we multiply the dividend by the reciprocal of the divisor.

⇒[tex] \sf{ \frac{253}{4} \times \frac{5}{11} }[/tex]

Reduce the numbers with Greatest common factor 11

⇒[tex] \sf{ \frac{23}{4} \times \frac{5}{1} }[/tex]

To multiply one fraction by another, multiply the numerators for the numerator and multiply the denominators for its denominator

⇒[tex] \sf{ \frac{23 \times 5}{4 \times 1} }[/tex]

⇒[tex] \sf{ \frac{115}{4} }[/tex]

Convert improper fraction into mixed fraction

⇒[tex] \sf{28 \frac{3}{4} }[/tex]

Hope I helped!

Best regards!

The question is missing parts. Here is the complete question.

Let M = [tex]\left[\begin{array}{cc}6&5\\-1&-4\end{array}\right][/tex]. Find [tex]c_{1}[/tex] and [tex]c_{2}[/tex] such that [tex]M^{2}+c_{1}M+c_{2}I_{2}=0[/tex], where [tex]I_{2}[/tex] is the identity 2x2 matrix and 0 is the zero matrix of appropriate dimension.

Answer: [tex]c_{1} = \frac{-16}{10}[/tex]

             [tex]c_{2}=\frac{-214}{10}[/tex]

Step-by-step explanation: Identity matrix is a sqaure matrix that has 1's along the main diagonal and 0 everywhere else. So, a 2x2 identity matrix is:

[tex]\left[\begin{array}{cc}1&0\\0&1\end{array}\right][/tex]

[tex]M^{2} = \left[\begin{array}{cc}6&5\\-1&-4\end{array}\right]\left[\begin{array}{cc}6&5\\-1&-4\end{array}\right][/tex]

[tex]M^{2}=\left[\begin{array}{cc}31&10\\-2&15\end{array}\right][/tex]

Solving equation:

[tex]\left[\begin{array}{cc}31&10\\-2&15\end{array}\right]+c_{1}\left[\begin{array}{cc}6&5\\-1&-4\end{array}\right] +c_{2}\left[\begin{array}{cc}1&0\\0&1\end{array}\right] =\left[\begin{array}{cc}0&0\\0&0\end{array}\right][/tex]

Multiplying a matrix and a scalar results in all the terms of the matrix multiplied by the scalar. You can only add matrices of the same dimensions.

So, the equation is:

[tex]\left[\begin{array}{cc}31&10\\-2&15\end{array}\right]+\left[\begin{array}{cc}6c_{1}&5c_{1}\\-1c_{1}&-4c_{1}\end{array}\right] +\left[\begin{array}{cc}c_{2}&0\\0&c_{2}\end{array}\right] =\left[\begin{array}{cc}0&0\\0&0\end{array}\right][/tex]

And the system of equations is:

[tex]6c_{1}+c_{2} = -31\\-4c_{1}+c_{2} = -15[/tex]

There are several methods to solve this system. One of them is to multiply the second equation to -1 and add both equations:

[tex]6c_{1}+c_{2} = -31\\(-1)*-4c_{1}+c_{2} = -15*(-1)[/tex]

[tex]6c_{1}+c_{2} = -31\\4c_{1}-c_{2} = 15[/tex]

[tex]10c_{1} = -16[/tex]

[tex]c_{1} = \frac{-16}{10}[/tex]

With [tex]c_{1}[/tex], substitute in one of the equations and find [tex]c_{2}[/tex]:

[tex]6c_{1}+c_{2}=-31[/tex]

[tex]c_{2}=-31-6(\frac{-16}{10} )[/tex]

[tex]c_{2}=-31+(\frac{96}{10} )[/tex]

[tex]c_{2}=\frac{-310+96}{10}[/tex]

[tex]c_{2}=\frac{-214}{10}[/tex]

For the equation, [tex]c_{1} = \frac{-16}{10}[/tex] and [tex]c_{2}=\frac{-214}{10}[/tex]

Answer:

The answer is ( 0.74 ) or ( 74/100 ).

Answer:

  150 radians

Step-by-step explanation:

Arc length as a function of angle is ...

  s = rθ

Then the angle is ...

  θ = s/r = (1800 cm)/(12 cm) = 150 . . . radians

Answer:

  m∠BXC = 30°

Step-by-step explanation:

The symbol ∠ means "angle", so "angle ∠BXC" is actually redundant. The "greater than" symbol is "<", which sometimes is used when the proper angle symbol is not available.

Here, the question is simply asking for the measure of angle BXC.

Ray BX crosses the outer, inner scales of the protractor at 40, 140. Ray CX crosses those scales at 70, 110. The measure of angle BXC in degrees is the difference between the numbers on the same scale:

  70 -40 = 30 . . . using outer scale numbers

  140 -110 = 30 . . . using inner scale numbers

The measure of angle BXC is 30°.

Answer:

Step-by-step explanation:

Hello,

[tex](\forall x \in \mathbb{R}) (fog)(x)=f(g(x))=f(2x+2)=h(x)=4x^2+8x+8\\\\=(2x+2)^2-2^2+4(2x+2)\\\\=(2x+2)^2+4(2x+2)-4\\\\\text{So, we conclude by.}\\\\\large \boxed{\sf \bf f(x)=x^2+4x-4}[/tex]

If g(x) = 2x + 2 and h(x) = 4x2 + 8x + 8, then function f is 16x²+48x+40

A relation is a function if it has only One y-value for each x-value.

The given functions are  g(x) = 2x + 2 and h(x) = 4x² + 8x + 8.

fog=h

Now we have to find f(x)

fog=h

f(g(x))=h

f(2x+2)=4x² + 8x + 8.

=4(2x+2)²+8(2x+2)+8

=4(4x²+4+8x)+16x+16+8

=16x²+16+32x+16x+16+8

=16x²+32x+16x+16+16+8

=16x²+48x+40

Hence,  function f is 16x²+48x+40

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Answer:

1. 2/3

2. -3

3. -1/2

4. 4/3

Answer:

  27x³y³z³

Step-by-step explanation:

The volume of a cube is the cube of the edge length:

  V = (3xyz)³ = 3³x³y³z³

  V = 27x³y³z³

Answer:

B and D

Step-by-step explanation:

A and C both show linear relationships (in this case negative). B is a parabolic curve, and D is a non-linear tread.

I hope this helps!

-The Business Man

Answer:

The fist Person Is correct it is B and D

Step-by-step explanation:

Answer:

7/12 and 1/8

Step-by-step explanation:

they don't have a least common denominator because there is no common factor between 7 and 12, and 1 and 8. the least common denominator of 7/12 and 1/8 is 7/12 and 1/8.

Answer:

14/24 and 3/24

Step-by-step explanation:

answer for plato mastery test

Answer:

Step-by-step explanation:

[tex]-6n - 6(- 8 n + 2)[/tex]

Use -6 to open the bracket

[tex]-6n+48n-12\\42n - 12\\= 6(7n -2)[/tex]

Answer:

The equation is y = 2x - 9

Step-by-step explanation:

To graph, start at 0,-9 and go up twice and right one.

Answer:

0

Step-by-step explanation:

_7x+4y=5 *(3)

_21x+12y=15

21x_12y=_15

____________

If I am right

I think !that is the answer

Answer:

The correct answer is s = -11.

Step-by-step explanation:

To solve this problem, we must move all of the variable terms to one side of the equation and move all of the constant terms to the other side.  Let's keep the variable terms on the left and move the constants to the right.  Our first step will be to add 18 to both sides of the equation to cancel out the -18 on the left side:

-18 + 18 - 3s = 15 + 18

-3s = 33

Our next and final step will be to divide both sides by -3 to get the variable s completely isolated on the left side of the equation.

-3s/-3 = 33/-3

s = -11

Therefore, the correct answer is s = -11.

Hope this helps!

Answer:

3×30=90

3×8=24

90-24=66

66÷4=16.5