Find the midpoint of the segment with the following endpoints. (6, 4) and (9, 1)​

Draw a model and write to represent 4 times as many as 3 is 12.

The required equation is 4×3=12 and the required model is shown in figure.

The model for the provided question is shown in the figure, where there are 3 rows and 4 blocks in a row we get 12 blocks total.

Consider the provided information.

We need to draw a model and write an equation to represent 4 times as many as 3 is 12.

4 times as many as 3 can be written as:

4×3

This expression is equal to 12. Thus the combined equation is:

4×3=12

Therefore, the equation represents 4×3=12.

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Answer:

It is better to buy the 16-ounce drink and it is 0.01 cent cheaper

Step-by-step explanation:

We have to find out how much each sports drinks cost per ounce.

0.96 ÷ 12 = 0.08 per ounce

1.12 ÷ 16 = 0.07 per ounce

It is better to buy the 16-ounce drink and it is 0.01 cent cheaper

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

The inequality expression that corresponds to the solution of the inequality graph is x² + 3x - 3 < 0.

option B.

The inequality expression that corresponds to the solution of the inequality graph is determined by simplifying the equations as follows;

The solution of the graph,

x > -4 and x < 1

The first equation with "≥" is ruled out because the graph doesn't have a thick dot.

Let's simplify the second expression;

x² + 3x - 3 < 0

solve using quadratic formula;

x > -3.79 or x < 0.79

The third expression is ruled out since its solution will be complex.

For the last expression;

x² + 3x - 3 > 0

x < -3.79 or x > 0.79

Thus, the correct inequality expression is x² + 3x - 3 < 0.

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Answer: Porque no te merecen

Step-by-step explanation:

The values that represent outputs of the function are given as follows:

8, 3, -5, -2 and 12.

The standard definition of a function is given as follows:

y = f(x).

In which:

Considering the table given in this problem, the input and output variables are given as follows:

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Answer:

Check the images below.

Step-by-step explanation:

A Piecewise Function is just a merge of several functions in a single graph. Each function takes a part of the x axis of the graph. On the images below I made the sketches of the graphs identifying them with colors. Note that you have to identify whether the function includes the value or not at the end of their line, if they include them, the circle at the end of the line will have a fill color, it willbe a closed circle. If they do not include the values, they have open circles.

Answer: 40 years old.

Step-by-step explanation:

Let man's age = a

Let son's age = b

Since a man is 4 times as old as his son, therefore

a= 4b

In 5 years, he will only be 3 times as old as his son, therefore

a+5=3(b+5)

Apply substitution method :

4b+5=3b+15

b=10

a=40

The garden club is planting fruit trees in their school's garden, and they have two types of trees: one large tree that needs a lot of fertilizer and several newly planted trees that need a much smaller amount of fertilizer. The large tree requires 5 pounds of fertilizer.

which is a significant amount compared to the smaller trees, which only need 0.5 pounds of fertilizer each.

The reason for the difference in fertilizer requirements is due to the size and age of the trees. The large tree is likely fully grown and mature, and therefore requires a substantial amount of fertilizer to support its growth and fruit production. The younger and smaller newly planted trees, on the other hand, need much less fertilizer since they are still growing and developing.

Providing the proper amount of fertilizer is crucial to ensuring healthy tree growth and fruit production, which is why the garden club is treating the larger tree differently than the smaller ones. By giving each tree the proper amount of fertilizer necessary for their growth stage, the garden club is helping ensure the success of their fruit tree planting project and ultimately helping to contribute to the schools' educational and environmental goals.

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Answer:

3,0,-6,0

Step-by-step explanation:

x1=3 because 3+0+0=3

since x2 and s2=0.

Answer:

33 , 39

Step-by-step explanation:

given

9 , 15 , 21 , 27

there is a common difference between consecutive terms, that is

15 - 9 = 21 - 15 = 27 - 21 = 6

to obtain terms in the sequence add 6 to the preceding term

27 + 6 = 33

33 + 6 = 39

the next two terms are 33 and 39

Answer:

9(4-n)

Step-by-step explanation:

Hope this helps

Tell me if I'm wrong

Answer:

linear

Step-by-step explanation:

To tell if a function is linear, simply look at the exponents of the variables "x" and "y". Both of these exponents will have to be one and only one (1), any other exponent will turn the function into non-linear. Radicals also count as exponents different than one, because they are fractional exponents. Since there are no radicals or exponents written in this equation, we can conclude that all variable exponents are one (1), hence it's a linear equation.

Answer:

\(\dfrac{-1}{2}\)

Step-by-step explanation:

          (-2 , 3) ⇒ x₁ = -2 & y₁ = 3

          (0 , 2) ⇒  x₂ = 0 & y₂ = 2

\(\boxed{\bf Slope = \dfrac{y_2-y_1}{x_2-x_1}}\)

            \(\sf = \dfrac{2-3}{0-[-2]}\\\\\\=\dfrac{-1}{0+2}\\\\=\dfrac{-1}{2}\)

Kayla has already read 45 pages.

Kayla is reading at a rate of 30 pages per day.

John has already read 85 pages.

John is reading at a rate of 10 pages per day.

Their equations can be modeled with

Where m is the slope and b is the y--intercept

Here,

m is the rate at which they are reading per day

b is the amount of pages they have already read

Thus,

Kayla's equation:

m = 30

b = 45

So,

John's equation:

m = 10

b = 85

So,

We need to find the number of days, x, when both have read same amount of pages (which is y). Thus, we equate the expressions for both y's and find x using algebra. Shown below:

After 2 more days, the total number of pages of both Kayla and John would be equal!

The six terms of the series 247 are 2, 2, 2, 2, 2, and 2.

To find the six terms of a series, we need to first understand what a series is. A series is defined as the sum of the terms of a sequence. A sequence is a set of numbers in a specific order.

Therefore, a series is a sum of terms from a sequence. There are different types of series, and they have different formulas for calculating their terms.In this case, we are required to find the six terms of the series 247. Since this is a finite series, we can use a formula to calculate the nth term of a finite series.

The formula is given as follows:Tn = a + (n - 1) dWhere Tn is the nth term of the series, a is the first term of the series, n is the number of terms in the series, and d is the common difference between the terms of the series.To find the six terms of the series 247, we need to know the value of a and d. In this case, we can see that the first term of the series is 2. Therefore, a = 2.

Since this is a constant series, we can see that the common difference between the terms is 0. Therefore, d = 0.Substituting these values in the formula, we get:T1 = a + (1 - 1) dT1 = 2 + 0T1 = 2T2 = a + (2 - 1) dT2 = 2 + 0T2 = 2T3 = a + (3 - 1) dT3 = 2 + 0T3 = 2T4 = a + (4 - 1) dT4 = 2 + 0T4 = 2T5 = a + (5 - 1) dT5 = 2 + 0T5 = 2T6 = a + (6 - 1) dT6 = 2 + 0T6 = 2.

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The correct answers are 1st and 4th i.e translate 2 units down and reflect the triangle.

We can easily deduce that the triangle A'B'C' is 2 units higher than the triangle ABC so if we want to map the both the triangles we have to make the triangle A'B'C' lower in the graph.

So, both the 1st and 4th points translate and reflect down the triangle A'B'C'  which will be mapped according to the triangle ABC.

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The transformation of f(x) to g(x) is f(x) is shifted up 3 units to g(x), there is shifting of 3 units means there is upward shifting.

Transformations of functions mean transforming the function from one form to another. Transformation of functions is a unique way of changing the formula of a function minimally and playing around with the graph.

The given function f(x)= 4x^2 - 13

In the graph there is vertical shift from f(x) to g(x)

We know, the vertical shift depends on the value of k

When k>0, the vertical shift is described as

g(x)=f(x)+k- The graph is shifted up k units.

g(x)=f(x)−k - The graph is shifted down k units.

If we closely look at the graph the vertical distance in positive y-axis,

the distance between line f(x) and g(x) is from 0 to 3.

So, there is shifting of 3 units means there is upward shifting.

i.e., k=3

Hence, f(x) is shifted up 3 units to g(x).

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Answer:

te awnser is

Step-by-step explanation:

Answer:

r=S/2πr+πh

STEP BY STEP EXPLANATION

By solving this question we will make r the subject of the formula

2πr²+πrh=S

factorise(between the two values find the common factors which is πr)

πr(2r+h)=S

divide both sides by the factorised expression which is (2r+h)

πr=S/(2r+h)

to get our r we need to divide both sides by π which is the coefficient of r

r=S/(2r+h)π

r=S/(2πr+πh)

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Answer:

\( 4x + 8 + 27 = 6x \), \( x = 17.5 \)

Step-by-step explanation:

LM = 4x + 8

MN = 27

LN = 6x

Points L, M, and N are collinear, therefore,

\( LM + MN = LN \) (segment addition postulate)

Thus, the equation that would be set up to solve for x would be:

\( 4x + 8 + 27 = 6x \) (substitution)

Solve for x as follows:

\( 4x + 35 = 6x \)

Subtract 4x from both sides

\( 4x + 35 - 4x = 6x - 4x \)

\( 35 = 2x \)

Divide both sides by 2

\( \frac{35}{2} = \frac{2x}{2} \)

\( 17.5 = x \)

\( x = 17.5 \)

On solving the provided question, we can say that Probability(A and B) = P(A)P(B|A) and P(E or F) = P(E) + P(F) - P(E and F)

Probability theory, a subfield of mathematics, gauges the likelihood of an occurrence or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty. A probability is a numerical representation of the likelihood or likelihood that a particular event will occur. Alternative ways to express probabilities are as percentages from 0% to 100% or from 0 to 1. the percentage of occurrences in a complete set of equally likely possibilities that result in a certain occurrence compared to the total number of outcomes.

Probability(A and B) = P(A)P(B|A).

P(A and B) = P(B and A), this may also be written as P(A and B) = P(B)P(A|B).

Using the general multiplication rule, we have

P(E and F) = P(E)P(F|E)

.392 = P(E)(.7)

P(E) = .56

   P(E and F) = P(F)P(E|F)

.392 = P(F)(.56), so

P(F) = .7

P(E or F) = P(E) + P(F) - P(E and F)

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Answer:

A, C and D are true statements.

Step-by-step explanation:

Megan constructed triangle ABC.

In Megan’s triangle, m∠A is represented by x°.

Therefore, ∠A = x°

For m∠B is 4 times greater than m∠A

Therefore, ∠B = 4x°

For m∠C is 30° less than 5 times m∠A.

Therefore, ∠C = 5x°-30°

ABC is a triangle.

Sum of all angles of a triangle is 180°. Angle sum property of triangle.

m∠A + m∠B + m∠C = 180°

x° + 4x° + 5x°-30° = 180°

x° = 15°

True Statements are:

A) m∠A = x°

C) m∠B = (4x)°

D) m∠C = (5x – 30)°

Answer:

Louie Dampier made 794 three-point baskets, 4496 two-point-baskets, and 2352 free throws.

Step-by-step explanation:

Let x,y, and z be the numbers of 3 point basket, 2 point basket, and one point free throws respectively.

The total points he scored is 13,726,

\(\Rightarrow 3x+2y+z=13726\;\cdots(i)\)

As Dampier made 2,144 more two-point baskets than free throws,

\(\Rightarrow y=z+2144\;\cdots(ii)\)

He also made 1,558 more free throws than three-point baskets,

\(\Rightarrow z=x+1558\)

\(\Rightarrow x=z-1558\;\cdots(iii)\)

Now, putting the values of equations (ii) and (iii) in the equation (i), we have

\(3(z-1558)+2(z+2144)+z=13726\)

\(\Rightarrow 6z=14112\)

\(\Rightarrow z=\frac{14112}{6}=2352\)

From equation (ii),

y=2352+2144=4496

From equation (iii),

x=2352-1558=794.

Hence he made 794 three-point baskets, 4496 two-point-baskets and, 2352 free throws.

Answer:

x=2352-1558=794.

Hence he made 794 three-point baskets, 4496 two-point-baskets and, 2352 free throws.

The two integers are equal to 1 and 7 respectively.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Let x represent the smaller number. Then the given relationships say ...

1/x + 2/(x+6) = 9/7

Multiplying by 7x(x+6), we have ...

7(x+6) +14x = 9x(x+6)

9x² +54x = 21x +42 . . . . .eliminate parentheses, swap sides

9x² +33x = 42 . . . . . . . . ...subtract 21x

3x² +11 -14 = 0 . . . . . . . . . .subtract 42 and divide by 3

(3x +14)(x -1) = 0 . . . . . . . . factor

Values of x that make this true are x = 1 and x = -14/3. Then for the positive integer x=1, the other integer is x+6=7.

Therefore, the two integers are equal to 1 and 7 respectively.

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Step-by-step explanation:

first you distribute

12x - 8 + 4 +23 +2x

than you add the numbers without the variable so...

-8+4+23= 19

Add the # with variables

12x+2x= 14×

then you get

14x=19

divide by 14 in each side

x=1.4

Answer:

the table of x and y values is shown in the attached

The table of x and y values is shown in the attached.

The study of graphs, which are mathematical constructions used to represent pairwise relationships between things, is known as graph theory in mathematics. Vertices (also known as nodes or points) make up a graph in this sense, which are connected by edges (also called links or lines).

Undirected graphs, in which edges connect two vertices symmetrically, are distinguished from directed graphs, in which edges connect two vertices asymmetrically.

a diagram that compares the fluctuation of one variable to that of one or more other variables, such as a collection of points, lines, line segments, curves, or areas: a grouping of all points whose coordinates meet a certain relation (such as a function).

Therefore, The table of x and y values is shown in the attached.

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the top answer correct :)

Answer:

B

Step-by-step explanation:

Standard deviation is the average distance away from the mean, thus B is correct

Answer:

B. The product of 5 and a number.

Product means multiplication is taking place. In this case, 5 is being multiplied with n.

Hope this helps!

Answer:

2.

Step-by-step explanation:

There are 2 complex solutions to this equation:

x^2 = -9

= 3i and -3i.

Answer:

okay but what about

Step-by-step explanation:

x² = 9