simplify

5cat + 3act - 6tac

The average monthly temperature of a city can be modeled by a cosine graph, Melissa should focus on the Midline. This is further explained below.

Generally, The average temperature would be indicated somewhere along the curve, most likely near the middle.

In conclusion, Melissa should concentrate on the Midline, which can be used to model the average monthly temperature of a city.

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Answer:

X=20; the labeled angles are 80 and 100

Step-by-step explanation:

These angles are "consecutive interior angles" so they will add up to be 180.

180 = 5x + 4x

180 = 9x

180/9 = 9/x

20=x

To graph this situation we must take into account the data and the organization of each of them on the X axis and Y axis.

To graph this situation we must take into account the data we have:

Based on these data, we assign the horizontal axis to count years and the vertical axis to count tickets per year. We must continue the pattern of increased attendance over the years.

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Answer:

Part A -  2/5 of a dollar

Part B - It shows that 10 pounds of cabbage cost $4

Step-by-step explanation:

If 5 pounds cost $2 then 1 pound costs 2/5 of a dollar.

(10,4) - 10 is the x-axis which is pounds and 4 is the y-axis which is $. So 10 pounds cost $4.

Answer: 79

Step-by-step explanation:

[tex]\sqrt{k+2}-9=0\\\\\sqrt{k+2}=9\\\\k+2=81\\\\k=\boxed{79}[/tex]

Answer:

D) k = 79

Step-by-step explanation:

Given equation: [tex]\sf\sqrt{k+2}-x=0[/tex]

Steps:

1. Substitute 9 as the value of x in the equation:

[tex]\sf\sqrt{k+2}-9=0[/tex]

2. Add 9 to both sides:

[tex]\sf\sqrt{k+2}-9+9=0+9\\\\\Rightarrow \sqrt{k+2}=9[/tex]

3. Square both sides of the equation:

[tex]\sf\left(\sqrt{k+2}\right)^2=9^2\\\\\Rightarrow k+2=81[/tex]

4. Subtract 2 from both sides:

[tex]\sf k+2-2=81-2\\\\\Rightarrow k = 79[/tex]

5. Check your work:

[tex]\sf\sqrt{k+2}-x=0\ \textsf{[ substitute 79 for k, and 9 for x ]}\\\\\sqrt{79+2}-9=0\ \textsf{[ add ]}\\\\\sqrt{81}-9=0\ \textsf{[ take the square root ]}\\\\9-9=0\ \textsf{[ subtract ]}\\\\0=0\ \checkmark[/tex]

The table that could be used to model his climb will consist of 125 ft/h for the first two hours and 87.5 ft/h for the next 4 hours.

The equation that can be used to model the motion of the climber is calculated as follows;

(1, 150)

(2, 275)

(4, 525)

(6, 700)

m = (275 - 150)/(2 - 1) = 125 ft per hour

m = (700 - 525)/(4 - 2) = 87.5 ft/hr

Thus, the table that could be used to model his climb will consist of 125 ft/h for the first two hours and 87.5 ft/h for the next 4 hours.

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Answer: Option (2)

Step-by-step explanation:

Setting the equations equal to each other,

[tex]\frac{1}{3}x+2=\frac{4}{3}x-5\\\\7=x[/tex]

If x=7, then [tex]y=\frac{7}{3}+2=\frac{13}{3}[/tex]

Answer:

The constant of proportionality is 6. This makes the relation y = 6x.

Step-by-step explanation:

Concept: As the number of apples are increasing, the number of slices are also increasing. Given that x is the number of apples and y is the number of slices. This means that y is directly proportional to x.

y ∝ x

Let the constant of proportionality be k.

y = kx

For x = 1, y = 6. So, k = 6.

For x = 2, y = 12. So, k = 6.

This follows for all the values.

Clearly, the constant of proportionality is 6.

The relationship will become y = 6x.

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The inverse of the function f(x) = 2x - 10 is f-1(x) would be x/2 + 5.

Lets try to solve it,

We will be using the inverse function to solve this.

f(x) =[tex]2x - 10[/tex]

Replace f(x) with y.

[tex]y = 2x - 10[/tex]

Interchange x and y

[tex]x = 2y - 10[/tex]

Solve for y

[tex]y = (x + 10) / 2[/tex]

Replace y with f-1(x).

[tex]f-1(x) = x/2 + 5[/tex]

Thus, the inverse of the function f(x) = 2x - 10 is f-1(x) = x/2 + 5

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Answer:

x=4

Step-by-step explanation:

2x-8-x+4-6=0

or,2x-x-8+4=0

or,x-4=0

or,x=0+4

•°•x=4

ans

Answer:

x = 2 or 7

Step-by-step explanation:

(x-4)² - (x-4) - 6 = 0

x²-8x+16-x+4 -6 = 0

           x²-9x+14 = 0

           (x-2)(x-7) = 0

∴x = 2 or 7

Answer:

3x² +6

Step-by-step explanation:

(f-g)(x) = f(x) -g(x) = (4x²+1) -(x²-5) . . . . . substitute the function definitions

... = 4x² +1 -x² +5 . . . . . . . . . . . eliminate parentheses

... = (4-1)x² +(1+5) . . . . . . . . . . . collect like terms

... = 3x² +6

Answer:

-3+15-75+375

=12-75+375

=-63+375

=302

n=8

302÷8 = 37

The correct answer is option D which is the probability is 1.

The complete question is given below:-

Jamaal knows that it is certain that he will win the election because he is the only person who is running for class treasurer. Which value represents the probability that he will win the election?

0

1/4

3/4

1

Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

The probability of Event E is given by,

P = favourable outcomes / Total outcomes

Jamaal is the only candidate running in the class treasurer election.

There for Total No. of outcomes = 1

Here Event E is Jamaal winning the Election.

So, No. of favorable outcome = 1

P(E) = 1 / 1

P(E) = 1

This type of event is called a SURE EVENT Because the probability of a sure event is always 1.

The Probability of Jamaal winning the election is 1. So, Option D is correct.

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The probability that he will win the election will be 1. Then the correct option is D.

Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.

The value of the probability of an event will be varying from zero to one.

Jamaal knows that it is certain that he will win the election because he is the only person who is running for class treasurer.

Then the probability that he will win the election will be

If the event will certainly happen, then the probability will be one.

P = 1

Then the correct option is D.

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The equation of linear system in the form of inequality will be x + y ≥ 2 or y ≥ 2 – x.

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

The graph is given below.

The graph is a linear equation.

Then the equation of linear system in the form of inequality will be

The two point are given as (0, 2) and (1, 1). Then the equation of linear system will be

y – 2 ≥ [(2 – 1) / (0 – 1)] (x – 0)

y – 2 ≥ – x

x + y ≥ 2

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Step-by-step explanation:

to "solve" this I need an equation.

this whole expression must be equal to something.

without that I can only try to simplify the expression.

remember that

a/b / c/d = ad / bc

so, here we have

3a/(((a²/x) - 1)(a/x - 1)) = 3a/(a³/x² - a²/x - a/x + 1) =

= 3a/(a³/x² - a²/x - a/x - a/a) =

= 3a/((a²/x² - a/x - 1/x - 1/a)×a) = 3/(a²/x² - a/x - 1/x - 1/a)

Answer:

15

Step-by-step explanation:

divide the perimeter by two and minus 1

Answer: 15ft

Step-by-step explanation:

Start off by drawing a rectangle with the given information. Since it is a rectangle we know that the opposite side is also 1. So subtract 2 from 32 to get 30. Divide this by 2 and you will get your width of your rectangle. Hope this helps!

Answer:

y = ± [ √(x+4) ] / 3

Step-by-step explanation:

1) To find the inverse of the function y = 9x2 – 4, exchange the variables x and y, and then solve for the new y.

2) Exchange of the variables: y = 9x^2 – 4 → x = 9y^2 – 4

3) Solve for y:

=> 9y^2 = x + 4

=> y^2=> y = ± [ √(x + 4) ] / 9

= > y = ± [ √(x + 4) ] / 3

[tex]\mathbf{\frac{23}{90}}[/tex] fraction of all shapes are circles.

Given that the ratio of the number of white shapes to black shapes is 7:3

Let the number of white shapes be [tex]7n[/tex]

Then the number of black shapes be [tex]3n[/tex]

So total number of shapes [tex]=7n+3n=10n[/tex]

Now ratio of white circles to white squares is 2:7

So the fraction of circles to all white shapes [tex]=\frac{2}{2+7}=\frac{2}{9}[/tex]

Hence the number of white circles [tex]=\frac{2}{9}\times7n=\frac{14n}{9}[/tex]

Again given that the ratio of black circles to the number of black sqaures is 1:2

So the fraction of circles in all black shapes [tex]=\frac{1}{1+2}=\frac{1}{3}[/tex]

The number of black circles [tex]=\frac{1}{3}\times3n=n[/tex]

Total number of circles [tex]=\frac{14n}{9}+n=\frac{14n+9n}{9}=\frac{23n}{9}[/tex]

The fraction of all shapes are circle is [tex]=\frac{\frac{23n}{9}}{10n}=\frac{23n}{90n}=\frac{23}{90}[/tex]

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Answer:

f(x) must be shifted 6 units down in order to produce the graph of g(x).

Answer:

x = -6

Step-by-step explanation:

5x² + 60x + 180 = 0

5 x 180 = 900

you need 2 numbers that multiplies into 900 and adds into 60. these numbers are 30 and 30. now we can rewrite it

5x² + 30x + 30x + 180 = 0.

split it in half and factorise

5x(x + 6) + 30(x + 6) = 0

this means the brackets are:

(5x + 30)(x + 6) = 0

5x + 30 = 0

5x = -30

x = -6

x + 6 = 0

x = -6

therefore, x = -6.

The distance that edgar runs in a 5-day week will be 4.45 miles.

Distance is defined as the length between the two points it can be represented in mm,cm, meters,km, and miles.

Given that:-

Edgar runs 8/9 of a mile each day. what is the total distance that Edgar runs in a 5-day week?

The total distance will be calculated as:-

D = [tex]\dfrac{8}{9}[/tex] x 5

D = 4.45 miles

Therefore the distance that edgar runs in a 5-day week will be 4.45 miles.

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Answer:

see below

Step-by-step explanation:

To find the coordinates of the midpoints, add the x's and divide by 2 and add the y's and divide by 2.

The coordinates of D, the midpoint of AB, (1+3)/2 will be the x-coordinate and (4+0)/2 will be the y-coordinate.

D (2,2)

You could also see this on a graph, see image.

E, the midpoint of AC has the x-coordinate (1+-3)/2, which is -1 and y-coordinate (4+-2)/2 which is 1.

E is (-1,1)

Then we are able to calculate the slope of DE and BC.

To calculate slope, subtract the y's and put that on top of a fraction and subtract x's and put that on the bottom of a fraction. If the slopes are the same the segment are parallel.

Slope of DE:

(2-1)/(2--1)

= 1/3

Slope of BC:

(0--2)/(3--3)

=2/6

=1/3

The slopes of BC and DE are equal, so the segments are parallel.

(Alternatively, you could show that Triangle ABC and Triangle ADE are similar. Then find the segments parallel because corresponding angles are congruent.)

Answer:

C. The note on the package only told customers to call in the event that they had a concern, which could bias the results negatively.

Explanation:

Since customers were only told to call if they had concerns, all of the calls were about concerns or problems that they were having - meaning all of the calls were negative. However, they were never informed to call if they were happy or content with the product, meaning they were never informed of the people who had positive comments, only negative.

Answer:

telmhtkhknrkh

Step-by-step explanation:

eg

Answer:

4.08x^2

Step-by-step explanation:

Answer:

EAD

Step-by-step explanation:

Step-by-step explanation:

please give this answer brainlist answer

Answer:

Given function:

[tex]q(x)=9x^2-24x+16[/tex]

To factor a quadratic in the form [tex]ax^2+bx+c[/tex],  find two numbers that multiply to [tex]ac[/tex] and sum to [tex]b[/tex]:

[tex]ac=9 \cdot 16=144[/tex]

Two numbers that multiply to 144 and sum to -24 are: -12 and -12

Rewrite [tex]b[/tex] as the sum of these two numbers:

[tex]\implies q(x)=9x^2-12x-12x+16[/tex]

Factorize the first two terms and the last two terms separately:

[tex]\implies q(x)=3x(3x-4)-4(3x-4)[/tex]

Factor out the common term [tex](3x-4)[/tex]:

[tex]\implies q(x)=(3x-4)(3x-4)[/tex]

Therefore:

[tex]\implies q(x)=(3x-4)^2[/tex]

The equation of this circle in standard form is (x-2)² + (y+3)² = 18

The center of the circle is at the point  (2,-3), and its radius is 4.2426 units

Circle is the 2D geometry which is round in shape with radius R.

Given is the general form of the equation of a circle is

7x² + 7y² − 28x + 42y − 35 = 0.

Dividing by 7, we get

x² -4x + y² + 6x = 5

Completing the squares, we have

x² -4x + 4 + y² +6x + 9 = 5 +4 + 9

(x-2)² + (y+3)² = 18 = (3 √2)²

Circle's center is (2,-3) and  radius = 3 √2 = 4.2426 units

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Answer:

(x-2)^2 + (y+3)^2 = 18,

2,-3

3(2^(1/2)) units

Step-by-step explanation:

Below

The probability that exactly 6 of 8 adult use their smartphones in meetings or classes is 0.147 or 14.7% .

The complete question is

Assume that when adults with smartphones are randomly selected, 54% use them in meetings or classes (based on data from an LG Smartphone survey). If 8 adult smartphone users are randomly selected, find the probability that exactly 6 of them use their smartphones in meetings or classes.

Probability is the measure of likeliness of an event to happen.

The probability given is

p = 54% = 0.54

n =8

r = 6

The binomial Probability is given by

[tex]\rm P(x) = ^n C_r p^r q^{n-r}[/tex]

The probability that exactly 6 people use smartphones in a class of 8 student is given by

[tex]P(x) = \dfrac{n!}{r! (n-r)!} p^r q^{n-r}[/tex]

Here q represents the complement

q = 1 -p

q = 1-0.54 = 0.46

[tex]P(6) = \dfrac{8!}{6! (2)!} 0.54^6 0.46^{2}\\\\\P(6) = \dfrac{8 * 7}{ 2} 0.54^6 0.46^{2}\\\P(6) = 0.147[/tex]

Therefore The probability that exactly 6 of 8 adult use their smartphones  in meetings or classes is 0.147 or 14.7% .

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Answer:

Inverse variation here gives out a function [tex]xy=(-32)[/tex].

Step-by-step explanation:

Inverse variation is the relationships between variables that are represented in the form of y = k/x, where x and y are two variables and k is the constant value. It states if the value of one quantity increases, then the value of the other quantity decreases. While direct variation describes a linear relationship between two variables, inverse variation describes another kind of relationship.

An inverse variation can be represented by the equation

[tex]xy=k \\or \\y=kx[/tex]. That is, y varies inversely as x if there is some nonzero constant k.

Here, the product is given by

[tex]xy=(-4)[/tex]×[tex]8[/tex]

[tex]xy=(-32)[/tex]

We will be plotting the graph of the function [tex]xy=(-32)[/tex]

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