(04.02 LC)

The graph represents function 1 and the equation represents function 2:

Function 2
y = 3x + 1

How much more is the rate of change of function 2 than the rate of change of function 1?
1
2
3
4

Answer:

(C)7x-3x

Step-by-step explanation:

The given algebraic expression is:

"The difference between seven times a number and three times that number"

Let the number be equal to =x, then according to the statement, we have

seven times a number=7x and three times that number=3x

The difference between seven times a number and three times that number=7x-3x

which is the required algebraic expression.

Hence, option C is correct.

area = l x w

l = w+3

sqrt(154) = 12.4 round o 12

12-1 = 11

11+3 = 14

11 * 14 = 154

 width = 11

 length = 14

If a coin is fair then it has two faces , one is heads and the another is tails.

The probability getting any favorable outcomes is given by the formula :-

[tex]\dfrac{\text{Number of favorable outcomes}}{\text{Total outcomes}}[/tex]

So the factor effecting probability is just the number of  favorable outcomes and total outcomes.

If a coin is tossed then the probability of getting heads will be :-

[tex]P(H)=\dfrac{1}{2}=0.5=50\%[/tex]

To get heads always this should be 1 , which can be happen if number of  favorable outcomes is equal to total outcomes.

i.e. Number of heads = Number of total outcomes, this means coin should be biased.

Catching the coin in mid-air can never be a factor for this.

Therefore, the little brother's theory is false.

Answer:

Sample Response: The probability of a coin landing heads up is 1/2, or 50%. That fact will not change if the coin is caught in midair.

Step-by-step explanation:

Answer:

y > -5x + 3

Step-by-step explanation:

Answer: 6227020800

Step-by-step explanation:

Answer:

The coefficients are 8 and 1.

Step-by-step explanation:

In order to determine the answer, we have to know about algebraic expressions.

An algebraic expression is conformed by terms or only one term.

A term is just a variable with a coefficient. Also similar terms have the same variable but no always the same coefficient. Therefore if the algebraic expression has two terms, so there are two coefficients. The coefficient with value "1" is not necessary write it.

In this case, we have two terms:

So, we have two coefficients:

Finally, the coefficients are 8 and 1.

The triangle with measures 3 in., 4 in. and 5 in. made up right angle triangle.

A triangle is a three-sided polygon, which has three vertices. The three sides are connected with each other end to end at a point, which forms the angles of the triangle. The sum of all three angles of the triangle is equal to 180 degrees.

a) Given that, 3 in., 4 in. and 5 in.

By using Pythagoras theorem, we get

5²=3²+4²

25=9+16

25=25

So, the triangle is right triangle.

b) The given sides of triangle measures 5 in., 6 in. and 7 in.

To determine whether the triangle is acute, right, or obtuse, add the squares of the two smaller sides, and compare the sum to the square of the largest side.

7²<5²+6²

49<25+36

49<61

So, the triangle is acute angle triangle.

c) The given sides of triangle measures 8 in., 9 in. and 12 in.

12²>8²+9²

144>64+81

144>125

So, the triangle is obtuse angle triangle.

Therefore, the triangle with measures 3 in., 4 in. and 5 in. made up right angle triangle.

Learn more about the triangle here:

brainly.com/question/2773823.

#SPJ7

Answer:

A

Step-by-step explanation:

there are 4 kings and 4 queens in a deck

 chance of getting a king is 1/52

 chance of getting a queen without the king being put back would be 1/51

1/52 x 1/51 = 1/2652 probability

The probability of drawing first a king and then a queen from a standard deck without replacement is 0.603%, which is calculated by multiplying the individual probabilities of drawing a king and then a queen (1/13 * 4/51).

The student is asking about how to calculate the probability of drawing two specific cards from a deck of cards in succession without replacement. In a standard deck of 52 cards, the probability of drawing a king first is 4/52 since there are four kings in the deck. After drawing a king, there are 51 cards left, and the probability of drawing a queen next is 4/51 because there are four queens in the deck. These events are dependent because the outcome of the second draw depends on the first.

To find the combined probability of both events happening, we multiply the probabilities of each event:

P(first card is a king) = 4/52

P(second card is a queen after drawing a king) = 4/51

So, the probability is (4/52) * (4/51), which simplifies to 1/13 * 4/51.

Combined probability = (1/13) * (4/51) = 4/663 = 0.006033182503770739, or about 0.603% when expressed as a percentage.

50 teaspoons would equal 50*0.5 = 25 centimeters

1 cm = 0.001 liter

25*0.001 = 0.025 liters

Answer:

It is irrational and equal to [tex]5[/tex] multiplied by square root of [tex]2[/tex]

Step-by-step explanation:

we have

[tex]\sqrt{32}+\sqrt{2}[/tex]

Remember that

[tex]32=2^{5}[/tex]

substitute in the expression

[tex]\sqrt{2^{5}}+\sqrt{2}=4\sqrt{2}+\sqrt{2}=5\sqrt{2}[/tex]

therefore

It is irrational and equal to [tex]5[/tex] multiplied by square root of [tex]2[/tex]

Answer: a) y = 90-15x

b) y = 90

c) x = 6

Step-by-step explanation:

Since we have given that

Amount borrowed from his grandmother = $90

Amount he pay back each week = $15

Let the number of weeks be 'x'.

Let total amount owed be 'y'.

So, it becomes

[tex]y=90-15x[/tex]

a) write an equation in standard for that represents the amount owed y after x weeks.

Our equation is [tex]y=90-15x[/tex]

b. find the y intercept of the graph. what does this represent?

For this , we put x = 0.

[tex]y=90-15(0)\\\\y=90[/tex]

So, the y-intercept of the graph is 90.

It represents that the graph intersect y-axis at (0,90)

c. find the x intercept of the graph. what does this represent?

For this, we put y = 0.

[tex]0=90-15x\\\\90=15x\\\\x=\dfrac{90}{15}\\\\x=6[/tex]

So, the x intercept of the graph is 6.

It represents that the graph intersect the x-axis at (6,0)

Answer:  The required co-ordinates of the point S are (-11, -6).

Step-by-step explanation:  We are given to find the co-ordinates of the point S that lies along the directed line segment from R(-14, -1) to T(4, -13) and partitions the segment in the ratio of 1:5.

We know that

the co-ordinates of a point that divides the line segment joining the points (a, b) and (c, d) in the ratio m : n is given by

[tex]\left(\dfrac{mc+na}{m+n},\dfrac{md+nb}{m+n}\right).[/tex]

According to the given information, we have

(a, b) = (-14, -1),  (c, d) = (4, -13)  and  m : n = 1 : 5.

Therefore, the co-ordinates of the point S are given by

[tex]\left(\dfrac{1\times4+5\times(-14)}{1+5},\dfrac{1\times(-13)+5\times(-1)}{}\right)\\\\\\=\left(\dfrac{4-70}{6},\dfrac{-13-5}{6}\right)\\\\\\=\left(\dfrac{-66}{6},\dfrac{-18}{6}\right)\\\\=(-11,-3)[/tex]

Thus, the required co-ordinates of the point S are (-11, -6).

area = the height times the base divided by 2

13*4=52

52/2 = 26

 area = 26 sq. units

Answer:

Please don't use the answer that was given ,,, the correct answer is GUESS and Conjecture

Step-by-step explanation:

The left-most point on the number line is 10.

Minimum value = 10

The right-most point is 45.

Maximum value= 45

First quartile or lower quartile = 16

Third quartile or upper quartile = 36

The median is 28.

The box plot shows the total amount of time, in minutes, the students in a class spend traveling to school each day:

A box plot is titled Daily Travel Time and labeled Time (min).

The left-most point on the number line is 10 and the right-most point is 45.

The box is labeled 16 on the left edge and 36 on the right edge.

A vertical line is drawn inside the rectangle at point 28.

The whiskers are labeled as 11 and 43.

What information is provided by the box plot?

In the box plot, the information is given as follows.

         Minimum value = 10

        Maximum value= 45

To know more about Median click the given below.

https://brainly.com/question/9969858