Below are two different functions, f(x) and g(x). What can be determined about their y-intercepts?

graph going through negative 1, negative 1 and negative 4, negative 1

x g(x)
4 | 9
6 | 13
8 | 17

A) The function g(x) has a higher y-intercept.
B) The function f(x) has a higher y-intercept.
C) They both have the same y-intercept.
D) The relationship between y-intercepts cannot be determined.

Answer:

[tex]\large\boxed{\left(-\dfrac{1}{2},\ -1\right)}[/tex]

Step-by-step explanation:

[tex]\text{The formula of a midpoint:}\\\\\left(\dfrac{x_1+x_2}{2};\ \dfrac{y_1+y_2}{2}\right)\\\\================================\\\\A(1,\ -3),\ B(-2,\ 1)\\\\\text{Substitute:}\\\\x=\dfrac{1+(-2)}{2}=\dfrac{-1}{2}=-\dfrac{1}{2}\\\\y=\dfrac{-3+1}{2}=\dfrac{-2}{2}=-1[/tex]

Answer:

[tex](\frac{-1}{2} ,-1)[/tex]

Step-by-step explanation:

line segment AB has endpoints A(1,-3) and B(-2,1).

To find the midpoint of AB we use formula

[tex](\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )[/tex]

A(1,-3) is (x1,y1) , B(-2,1) is (x2,y2)

Plug in the values in the formula

[tex](\frac{1-2}{2} ,\frac{-3+1}{2} )[/tex]

[tex](\frac{-1}{2} ,\frac{-2}{2} )[/tex]

[tex](\frac{-1}{2} ,-1)[/tex]

Answer:

8

Step-by-step explanation:

Answer: 8

Step-by-step explanation:

Answer:

B) LM = JM = 3 and JK = LK = √17

Step-by-step explanation:

just took test, A is wrong, can i get brainliest please?

Answer:

B) LM = JM = 3 and JK = LK = √17

Answer: x < -1

Remember:

Answer: D, or x<-1

Step-by-step explanation:

The arrow on the number line indicates the direction in which the set of numbers represented is going. In this case, the arrow is pointing in the negative direction from -1; so we know that it will be either x < -1 or x ≤ -1

The circle represents whether the set of points is inclusive or exclusive. This is an exclusive case, which means that the point x = -1 is not included in the set of points.

That's how we know the inequality represented by the graph is x < -1

Step-by-step explanation:

Volume of a rectangular prism is:

V = lwh

Given that l = 4½, w = 3½, and h = 6:

V = (4½)(3½)(6)

V = 94.5

The volume is 94½ cm³.

The formula for the volume of a rectangular prism is:

V = length x width x height

OR

V = l x w x h

You must plug in the values given in the equation

4[tex]\frac{1}{2}[/tex] x 3[tex]\frac{1}{2}[/tex] x 6

94 1/2 cm^3

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

Question 1: b Question 2: yes

Step-by-step explanation:

The variable must go with 7+1/3 calculate time for all the levels. Then add 5+1/6. It must be less than or equal to because you want to play all 6 levels. You can play all 6 when you plug in 6 as the variable. It is less than 60

X multiplied by the side labeled 5 is equal to the line labeled 9 multiplied by the line labeled 5.1

9 x 5.1 = 45.9

x = 45.9 / 5

x = 9.18

x = 9.2

Answer:

the 1st one in the 2nd row

Step-by-step explanation:

In order to t² - t -2 = 0 become into this (t - 2)(t + 1) = 0, we have to know that a  polynomial of the form ax² + bx + c = 0 can be factored as a(x + r1)(x + r2) = 0, where r1 and r2 are the roots of the equation ax² + bx + c = 0 and we can find them using the Quadratic Formula.

Let's solve the equation step-by-step.

t² - t -2 = 0 has the form at² + bt + c = 0, so can be factored as a(t + r1)(t + r2) = 0. With a = 1, b = -1, and c = -2

Step 1. Use the Quadratic Formula to find the roots r1 and r2.

t =  −b ± √b²−4ac/2a

t = -(-1) ± √(-1)²−4(1)(-2)/2(1)

t = 1 ± √1+8/2

t = 1 ± √9/2 where r1 = 1 + √9/2 and r2 = 1 - √9/2

Step 2. Calculate the roots r1 and r2

r1 = 1 + √9/2 = 2

r2 = 1 - √9/2 = -1

Step 3. Write the factored equation a(t + r1)(t + r2) = 0, with a = 1 and the values of r1 and r2 with opposite signs.

1(t - 2)(t + 1) = 0

(t - 2)(t + 1) = 0

Answer:

D. The graph of h is the graph of g shifted 2 units to the left and 5 units down.

Step-by-step explanation:

Graph:  h(x) = g ( x + 2 ) - 5

x + 2 means the graph is shifted to left by 2 units.

-5 means to shift the graph down by -2 units

so, the graph of h is the graph of g shifted 2 units to the left and 5 units down.

Answer:

20

Step-by-step explanation:

Patrica got 80% correct.  She missed 4 problems, so that must have been the remaining 20% of the test.

Therefore:

4 = 20% x

Percent means out of 100, so:

4 = (20/100) x

4 = 1/5 x

x = 20

There were 20 problems on the test.

Answer:

Let's solve your system by substitution.

x=5;y=−7

Step: Solve x=5 for x:

x=5

Step: Substitute 5 for x in y=−7:

y=−7

y=−7

Answer:

x=5 and y=−7

x=3;y=2x−1

Step: Solve x=3 for x:

x=3

Step: Substitute 3 for x in y=2x−1:

y=2x−1

y=(2)(3)−1

y=5(Simplify both sides of the equation)

Answer:

x=3 and y=5

Let's solve your system by substitution.

y=6x+3;y=5x+4

Step: Solve y=6x+3 for y:

y=6x+3

Step: Substitute 6x+3 for y in y=5x+4:

y=5x+4

6x+3=5x+4

6x+3+−5x=5x+4+−5x(Add -5x to both sides)

x+3=4

x+3+−3=4+−3(Add -3 to both sides)

x=1

Step: Substitute 1 for x in y=6x+3:

y=6x+3

y=(6)(1)+3

y=9(Simplify both sides of the equation)

Answer:

x=1 and y=9

2x+3y=2;y=x−6

Step: Solve y=x−6 for y:

y=x−6

Step: Substitute x−6 for y in 2x+3y=2:

2x+3y=2

2x+3(x−6)=2

5x−18=2(Simplify both sides of the equation)

5x−18+18=2+18(Add 18 to both sides)

5x=20

divide both sides by 5

5x/5 and 20/5

x=4

Step: Substitute 4 for x in y=x−6:

y=x−6

y=4−6

y=−2(Simplify both sides of the equation)

Answer:

x=4 and y=−2

Answer:

Step-by-step explanation:

B or C depending on how many bags you have

A reasonable tip for an airport skycap is generally $2 per bag, reflecting both the service provided and the quantity of luggage.

The question asks about the appropriate tip amount for an airport skycap. A common guideline for tipping skycaps is $2 per bag, which is considered to be a reasonable amount. Tipping $5 per bag may be considered generous in many cases, and a flat rate of $2 in total could be seen as insufficient unless you only have one bag. The tip should reflect the quality of service provided and the number of bags. The provided information regarding airline costs and opportunity costs of time at airports is not directly related to tipping skycaps but does highlight the broader context of airport expenses and the value of time for air travelers.

Answer:

C

Step-by-step explanation:

This is saying sum 5 and a number and multiply the result by 4

let n be the number then 5 + n is the sum, and

4(5 + n) is 4 times the resultant sum

The smallest number that's in the domain of f ° g is x = 0.

The function f(x) = √(9x) represents the square root of 9x.

The function g(x) = x + 7 represents adding 7 to x. To find the smallest number that is in the domain of f ° g, we need to determine the values of x that satisfy both f(x) and g(x).

We can start by looking at the domain of g(x), which includes all real numbers. So any value of x will work for g(x).

Next, we need to consider the domain of f(x). Since taking the square root of a negative number is not defined in the real number system, we must ensure that 9x is positive or zero.

So we set 9x ≥ 0 and solve for x: x ≥ 0. This means any non-negative value of x will work for f(x).

Now, to find the smallest number in the domain of f ° g, we need to find the intersection of the domains of f(x) and g(x).

Since any value of x will work for g(x) and only non-negative values of x will work for f(x), the smallest number that satisfies both functions is x = 0.

Answer:

Step-by-step explanation:

The average number is given by :

[m + (m - 1200) + (m - 1200)(1.30 ] / 3   =

[ 2m + 1.30m - 1200 - 1560] / 3   =

[3.3m - 2760] / 3  =

[1.1 m  - 920 ]

You will have to use trig to solve this:

The side you have is adjacent to the known angle

The side you are looking for is opposite the known angle

^^^This means you need to use tan:

tan(24) = [tex]\frac{x}{12}[/tex]

.445222 = [tex]\frac{x}{12}[/tex]

^^^input tan(24) into calculator, then multiply 12 to both sides to isolate and solve for x

5.3 ≈ x

Hope this helped!

That answer is 180. The formula is a=bh1/2

Answer:

The answer is 19.

Step-by-step explanation:

To find the range you have to subtract the lowest number and highest number in the data set.

19-0=19

Hope this helps.

The range of the given set {19, 12, 13, 3, 0, 0, 0, 0, 0, 0, 2, 13} is 19, which is the difference between the largest (19) and smallest (0) values in the set.

The range of a set of numbers is the difference between the largest and smallest values in the set. To find the range of the given numbers {19, 12, 13, 3, 0, 0, 0, 0, 0, 0, 2, 13}, follow these steps

Step 1: Arrange the numbers in ascending order: {0, 0, 0, 0, 0, 0, 2, 3, 12, 13, 13, 19}.

Step 2: Find the smallest value: 0.

Step 3: Find the largest value: 19.

Step 4: Calculate the range: Largest value - Smallest value = 19 - 0 = 19.

The range of the given numbers is 19.

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Answer:

Sample Response: Find the area of the rectangle. Then, find the area of the circle. The diameter is given, so take half that to get the radius. Multiply the area of the circle by half. Subtract the area of the half circle from the area of the rectangle.

Step-by-step explanation:

i did it.

Answer:

Sample Response: Find the area of the rectangle. Then, find the area of the circle. The diameter is given, so take half that to get the radius. Multiply the area of the circle by half. Subtract the area of the half circle from the area of the rectangle.

Step-by-step explanation:

make sure to inlcued

- area of rectangle

- half the diameter for the radius

- half the area of the circle

- subtract the area of the half circle from the area of the rectangle

Answer:

c

Step-by-step explanation:

Both the events are equally likely so neither can be more likely.

The correct answer is: C Neither. Both events are equally likely.

Given that the probability of it snowing in Eastern Canada tomorrow is 0.4 and that of in Western Canada is 2/5,

We need to determine which of the given events is more likely,

To determine which event is more likely, we compare the probabilities provided for each event:

The probability of it snowing in Eastern Canada tomorrow is 0.4.

The probability of it snowing in Western Canada tomorrow is 2/5, which is equivalent to 0.4.

Since both probabilities are equal (0.4), we can conclude that both events, A (It snows in Eastern Canada tomorrow) and B (It snows in Western Canada tomorrow), are equally likely.

Therefore, the correct answer is: C Neither. Both events are equally likely.

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Answer:

Check 318 was not cashed or deposited.

Step-by-step explanation:

If you look at the check numbers, check number 318 was not used. Therefore that is why Larry's balance is different from the banks balance.

Answer:

Step-by-step explanation:

Option D. check 318 was not cashed or deposited.

Answer:

1213

Step-by-step explanation:

simplify

Answer:

1213

Step-by-step explanation:

5 • [(14 + 3 • 30) + 120] + 103 – 10

Evaluate 3*30 first

5 • [(14 + 90) + 120] + 103 – 10

Evaluate 14 + 90 = 104

5 * [104 + 120] + 103 - 10

5 * (224) + 103 - 10

5*(224) + 93

1120 + 93

1213

Answer:

my answer is 34 r 18 I am guessing

Answer:

answer is $28.43

Step-by-step explanation:

You take $38.27x9. Then minus that answer minus $316

Answer:

y = [tex]\frac{2}{3}[/tex] x - 4

Step-by-step explanation:

Given y = f(x), then

y = f(x) + c represents a vertical translation

• If c > 0 then shift up by c units

• If c < 0 then shift down by c units

Here the translation is 4 units down ⇒ c = - 4, thus

y = [tex]\frac{2}{3}[/tex] x - 4

The equation of a line y = 2/3x moved 4 units down would be y = 2/3x - 4.

In the case of a vertical translation, the equation of a line y = mx + b is altered by adding or subtracting a constant value, which moves the line up or down on the coordinate plane. For example, with the given equation of a line, y = 2/3x, to translate it 4 units down, we subtract 4 from y. Therefore, the equation for the vertical translation would be y = 2/3x - 4.

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Answer:

3) 3a - 2 + 3 = -2

   3a            = -2 + 2 - 3 = -3

   a              = -3/3 = -1

4) m/-6 - 18 - 4 = -16

   m/-6             = -16 + 18 + 4 = 6

   m                  = 6 · (-6) = -36

5) x/-2 - 4 + 22 = -28

   x/-2              = -28 + 4 - 22 = -46

   x                   = -46 · (-2) = 92

6) -13 = 5 + 20m - 2m

   -13 = 5 + 18m

   -18 = 18m

   m  = -18/18 = -1

7) -2(2p - 1) = -14

   -4p + 2   = -14

   -4p          = -14 - 2 = -16

   p              = -16/(-4) = 4

8) -1(8x + 20) = 12

   -8x - 20      = 12

   -8x              = 12 + 20 = 32

   x                  = 32/(-8) = -4

9) -49 = 7(2x + 3)

   -49 = 14x + 21

   -14x = 49 + 21 = 70

   x                     = 70/-14 = -5

10) 3(8h - 4) + 17 = -19

     24h - 12 + 17 = -19

     24h               = -19 + 12 - 17 = -24

     h                   = -24/24 = -1

System of equations helps us to compare two real-life problems. The system of equations will have no solution.

Inconsistent System

A system of equations to have no real solution, the lines of the equations must be parallel to each other.

Consistent System

1. Dependent Consistent System

A system of the equation to be Dependent Consistent System the system must have multiple solutions for which the lines of the equation must be coinciding.

2. Independent Consistent System

A system of the equation to be Independent Consistent System the system must have one unique solution for which the lines of the equation must intersect at a particular.

As the systems of two-equations are given, therefore, the two equations are:

Now, if we plot the two-equation on the graph, we will find that the lines of the two equations are parallel. therefore, the system of equations will have no real solution or will have no solution.

Hence, the system of equations will have no solution.

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Answer:

B. 1/6^9

Step-by-step explanation:

6^-2 = 1/6^2

1/6^2 * 6^5 = 6^5/6^2 = 6^3

6^(3 * -3) = 6^-9= 1/6^9

Answer:

Step-by-step explanation:

[tex]\left(6^{-2}\cdot6^5\right)^{-3}\qquad\text{use}\ a^n\cdot a^n=a^{n+m}\\\\=(6^{-2+5})^{-3}=(6^3)^{-3}\qquad\text{use}\ (a^n)^m=a^{nm}\\\\=6^{(3)(-3)}=6^{-9}\qquad\text{use}\ a^{-n}=\dfrac{1}{a^n}\\\\=\dfrac{1}{6^9}[/tex]

Answer:

h(1)= 1

h(4)=5

Step-by-step explanation:

Given

h(x)= x^3 for 1≤x≤3

and

h(x)=5 x>3

Now finding h(1), i.e when x=1

x=1 lies in the range 1≤x≤3 hence putting value x=1 in x^3

h(1)= 1^3

     = 1

Now finding h(4), i.e when x=4

x=1 lies in the range x<3 hence putting value x=4 in h(x)=5

h(4)= 5 !