For speed skaters, Marco, Naim, and Pedro, compete in a relay race where they all agree Naim will be the last skater. Then they try to decide whether or not all of her should be the first skater in the race. Which subset, A, Of the sample space shows the complement of the event in which Oliver is the first skater in the race.

Answer: b) increasing for x < -4/3 and x > 4/3

                    decreasing for -4/3 < x < 4/3

Step-by-step explanation:

Graph the equation and the follow the curve from left to right.  When you are going up, it is increasing.  When you are going down, it is decreasing.

see the image below.  Red is increasing. Blue is decreasing.

The vertices occur when x = -4/3 and x = 4/3

Answer:

x=3

y=1

(3,1)

Step-by-step explanation:

Answer: c. (3, 1)

Step-by-step explanation:

(3x - y = 8) + (3x + 3y = 12) = 6x + 2y = 20

Divide by 2

3x + y = 10

Plug in 3 for x

3(3) + y = 10

9 + y = 10

10 - 9 = 1

y = 1

Answer: π / 4

Step-by-step explanation:

Area of a circle = π x r^2

= π x 0.5^2

= π / 4

Answer:

A = 0.25 π m²

Step-by-step explanation:

Area = [tex]\pi r^2[/tex]

Where r = 0.5 m

A = (0.5)^2 × π

A = 0.25 π m²

Answer:

0.983

Step-by-step explanation:

100(0.983)=98.3

Answer:

[tex]0.983[/tex]

Step-by-step explanation:

[tex]\frac{100-17/10}{100}[/tex]

[tex]\frac{100-1.7}{100}[/tex]

[tex]=0.983[/tex]

Answer:

64 gallon = 4 miles

1 gallon = 4/64

= 0.0625 miles

Answer:

63 cm

Step-by-step explanation:

piece 1: x

piece 2: x - 18

First you would subtract 2x - 18 = 108

Second you would add 108 + 18 = 2x

Third you would divide 126 divided by 2x = 63

So that would mean x = 63

Answer:

63cm

Step-by-step explanation:

2 pieces of rope, and one is shorter by 18cm.

piece 1: x

piece 2: x-18

Add the equations together, combine both pieces

2x-18

2x-18 = 108

108+18 = 2x

126 = 2x

x = 63

Answer:

x=7y+2

Step-by-step explanation:

switch the letters

Answer: y=(x-2)/7

Step-by-step explanation:

To find the inverse of the equation, you want to replace all the x with y and all the y with x. Our equation would be:

x=7y+2

Now that we have our equation, we can solve for y.

x-2=7y

y=(x-2)/7

Answer:

35-17

Step-by-step explanation:

Answer: A + 17 = 35

Step-by-step explanation:

Because both sections are equal to the same amount as 35.  

The rectangle for "a" plus the rectangle for 17 put together equal the same rectangle size as 35.

Answer:

x-14

Step-by-step explanation:

The binomial which is a factor of this trinomial is (x- 14).

An algebraic expression with three terms is called a trinomial.

Examples of a trinomial expression: x + y + z is a trinomial in three variables x, y and z.

Given:

p(x) = x²-16x + 28

If x+ a is factor of any polynomial p(x) then x= -a satisfy the polynomial.

factorizing p(x)

x²-16x + 28

= x²-14x + 2x + 28

= x( x- 14) + 2 (x+ 14)

= (x- 14)(x+ 2)

Hence, the binomial is (x- 14).

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Answer:

p=-4/3+q/3

Step-by-step explanation:

Answer:

p =q-4/3

Step-by-step explanation:

q-2p =p+4

q= p+4+2p

q =4+ 3p

q-4 =3p

p =q-4/3

Answer:

The answer is add 7x.

Step-by-step explanation:

When the first step is to add 10 to both sides :

[tex] - 8 - 7x = - 5x - 10[/tex]

[tex] - 8 - 7x + 10 = - 5x - 10 + 10[/tex]

[tex] - 7x + 2 = - 5x[/tex]

Next, you have to add 7x to both sides to eliminate -7x on the left side :

[tex] - 7x + 2 = - 5x[/tex]

[tex] - 7x + 2 + 7x = - 5x + 7x[/tex]

[tex]2 = 2x[/tex]

Answer:

add 7x

Step-by-step explanation:

This would be the answer because if you have already added 10 to the right side of the equation and have erased the constant, you would then need to erase the variable on the other side to make it equal. The variable on the other side is 7x, which gives you the answer.

Answer:

Gas used = 23/3-123/27

[tex] \frac{23 \times 9 - 123}{7} [/tex]

[tex] \frac{207 - 123}{27} [/tex]

Answer:

The answer is A.

This is because adding 5 to both sides of the original equation gives us A.

An equivalent equation to 3r = 90 - 5 is 3r + 5 = 90

The correct answer is an option (A)

"It is a mathematical statement which consists of equal symbol between two algebraic expressions."

"The equations that have the same answer or solution."

For given question,

We have been given an equation 3r = 90 - 5

We know that the addition property of equality which states that  when the same quantity is added to both sides of an equation, the equation does not change.

⇒ 3r = 90 - 5

Add 5 on the both the sides of the equations.

⇒ 3r + 5 = 90 - 5 + 5

⇒ 3r + 5 = 90 + 0

⇒ 3r + 5 = 90

Therefore, an equivalent equation to 3r = 90 - 5 is 3r + 5 = 90

The correct answer is an option (A)

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Answer : value of x and y in the matrix equation is:

x = -3

y = +4, -4

Step-by-step explanation :

The matrix expression is:

[tex]\left[\begin{array}{ccc}x+4\\y^2+1\end{array}\right]+\left[\begin{array}{ccc}-9x\\-17\end{array}\right]=\left[\begin{array}{ccc}28\\0\end{array}\right][/tex]

First we have to add left hand side matrix.

[tex]\left[\begin{array}{ccc}(x+4)+(-9x)\\(y^2+1)+(-17)\end{array}\right]=\left[\begin{array}{ccc}28\\0\end{array}\right][/tex]

Now we have to add left hand side terms.

[tex]\left[\begin{array}{ccc}x+4-9x\\y^2+1-17\end{array}\right]=\left[\begin{array}{ccc}28\\0\end{array}\right][/tex]

[tex]\left[\begin{array}{ccc}4-8x\\y^2-16\end{array}\right]=\left[\begin{array}{ccc}28\\0\end{array}\right][/tex]

Now we have to equating left hand side matrix to right hand matrix, we get:

[tex]\Rightarrow 4-8x=28\text{ and }y^2-16=0\\\\\Rightarrow 8x=4-28\text{ and }y^2=16\\\\\Rightarrow x=-3\text{ and }y=\pm 4[/tex]

Therefore, the value of x and y in the matrix equation is -3 and +4, -4 respectively.

Answer:

D is wrong. The correct answer choice is C ( x=-3 and y= +4, -4)

Step-by-step explanation:

Math unit test review

Answer:

9.3526131e+34

Step-by-step explanation:

112*642=71904*4948560=355821258240*7830*664=1.8499574e+18*7830*632=9.1546252e+24*3915*664=6.7577122e+12*3930=2.6557809e+16=9.3526131e+34

Answer:

Answer:

9.3526131e+34

Step-by-step explanation:

112*642=71904*4948560=355821258240*7830*664=1.8499574e+18*7830*632=9.1546252e+24*3915*664=6.7577122e+12*3930=2.6557809e+16=9.3526131e+34

Answer:

0.09

Step-by-step explanation:

Total = 35+5+10+5 = 55

P(string&brass) = 5/55

= 1/11 = 0.09090909

Answer:

1 1/2 miles

Step-by-step explanation:

(aka option A on edge)

Answer:

its 1

Step-by-step explanation:

Answer:

x=36

Step-by-step explanation:

All angles in a circle add up to 360°.

Answer:

c, 106

Step-by-step explanation:

Answer:

106

Step-by-step explanation:

pls mark as brainliest

Answer:

option 2 is better( 3 pizza with 30 inches diameter)

Step-by-step explanation:

Area of the large pizza = A=πr^2=962.11 * 2( for two pizzas)=1924.22

Area for small pizza : A=πr^2=706.86*3 pizza=2120.58

your buying more pizza for less price

(there are more than one way to figure the answer)

Answer:

Point C.

Step-by-step explanation:

When the x-value is negative, the point is moving left. In this case, the point is moving left 1.

When the y-value is positive, the point is moving up. In this case, the point is moving up 3.

Only Point C fits the description.

Answer:

point c

Step-by-step explanation:

hope i helped c:

Answer:

Surface area of sphere = 4πr²

r = radius

radius = diameter /2

= 12/2

= 6units

Surface area = 4π×6²

= 144π

= 452.4 square units

Hope this helps.

I think its B. 7

Its less than 15 and all the others.

Answer:

it b7

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]5\frac{1}{4} =x[/tex]

[tex]3\frac{3}{4} =y[/tex]

x-y=?

so

?+y=x

which means

[tex]?+ 3\frac{3}{4} = 5\frac{1}{4}[/tex]

i hope this helps

Answer:

36.99 litros de combustible.

Step-by-step explanation:

En este problema debemos calcular el combustible total de consumió el camión, para eso debemos sumar el valor que consumió el día 1 más el valor que consumió el día 2, de la siguiente manera:

Consumo total = Consumo día 1 + Consumo día 2

Consumo total = 21.77 + 15.22

Consumo total = 36.99

Es decir que el consumo total del camión es de 36.99 litros de combustible.

Answer:

The third graph is your answer.

Step-by-step explanation:

I included a graph below with the correct graphing.

Answer: 192

Step-by-step explanation:

(22.14-19.58)x75

Answer:

Given below

Step-by-step explanation:

Jose's method

Distance on bus: 2.85 x 1000= 2850m

Total distance= 320m + 2850m

= 3170 m

Pam's method

Distance to bus stop = 320 ÷ 100 = 0.32 km

Total distance= 0.32 km + 2.85 km

= 3.17 km

Answer with step by step explanation

Joe's method

[tex]distance \: \: \: on \: \: bus \\ = 2.85 \times 1000 = 2850m \\ total \: \: distance \\ = 320m + 2850m \\ = 3170m[/tex]

Pam's method

[tex]320 \div 1000 = 0.32km \\ total \: \: \: distance \\ = 0.32km + 2.85km \\ = 3.17km[/tex]

Answer:

Greta is correct. The answer is y = 4x

Step-by-step explanation:

This is because one person is able to plant four trees and five people are able to plant 20 in the same amount of time which means 4 trees is to 1 person. In other words if you substitute the values into the equation you will see that x = 1 in the first scenario and x = 5 in second scenario.I will work out the second scenario below.

y = 4x (where y = 20)

20  = 4(x)

[tex]\frac{20}{4} = \frac{4x}{4}[/tex]

5 = x

OR

y = 4x (where x = 5)

y = 4 * 5

y = 20

The equation which represents the number of trees planted y for the x number of people will be y = 4x thus Greta will be right.

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

An equation is a set of variables that are constrained through a situation or case.

As per the given,

1 person plants 4 trees.

x = 1 and y = 4

y/x = 4

5 people plant 20 trees

x = 5 and y = 20

y/x = 20/5 = 4

y = 4x

Thus, y = 4x will be correct.

Hence "The equation which represents the number of trees planted y for the x number of people will be y = 4x thus Greta will be right".

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Answer:

Step-by-step explanation:

In an equation of the form ...

  variable = expression

we generally consider the variable on the left to be the dependent variable. The variable in the expression is the independent variable.

Here, the equation ...

  d = 0.5 + 5t

suggests that the dependent variable is d; the independent variable is t.

Answer:

The independent variable is time and the dependent variable is distance.