Which functions have a vertex with a x-value of 0? Select three options.
Of(x) = |x|
f(x) = x + 3
f(x) = 1x + 31
f(x) = 1x1-6
Of(x) = x + 31-6

There was 4 dollar of discount on the total amount.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. Unitary method is a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.

We are given that Adrian bought a jacket that costs 11 dollars and a scarf that costs 15 dollars.

At the counter, he received a discount. If he only paid 22 dollars total, then

Total cost 11 + 15 = 26

But 26 - 22 = 4

Therefore, the discount was 4 dollar.

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The given scenario, where a sample of teen drivers at a high school is surveyed about their engagement in the illegal activity of texting while driving, is an example of Selection bias. Option C

Selection bias occurs when the process of selecting participants for a study or survey is not random or representative of the entire population.

In this case, the sample consists only of teen drivers at a high school, which may not accurately represent all teen drivers in the broader population. The sample is limited to a specific group, which can introduce bias and affect the generalizability of the results to the wider population of teen drivers.

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Answer:

54

Step-by-step explanation:

youre right its 54

★★★†******

Answer:

Answer: 54

Step-by-step explanation:

Answer:

a=53, b=90, c=37, x=53, y=90, z=37

segment ab=3, segment bc=4, segment ac=5

pretty sure these are the answers but sorry if not

Step-by-step explanation:

Answer:

2/8, 5/8

Step-by-step explanation:

\(\frac{1}{4}*\frac{2}{2} =\frac{2}{8} \\\\\frac{3}{8} +\frac{2}{8} =\frac{5}{8}\)

Multiplying by 2/2 is like multiplying by 1, so it doesn't affect the value.

To add fractions with the same denominator just add the numerator, the denominator stays the same.

The fraction is 2/8 and the sum is 5/8.

The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.

Given:

let the numerator be x when denominator is 8.

so, 1/4 = x /8

8 = 4x

x= 8/4

x= 2

Now, fraction resulted above is added with 3/8

2/8 + 3/8

= (2+3)/8

= 5/8

Hence, the sum is 5/8.

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we can conclude that 2/3 is not equal to 4/5.

To determine if 2/3 is equivalent to 4/5, we can compare the fractions by checking if their ratios are equal. The ratio of 2/3 can be written as 2:3, while the ratio of 4/5 can be written as 4:5.

To check if the ratios are equal, we can cross-multiply and see if the products are equal. Cross-multiplying means multiplying the numerator of the first fraction with the denominator of the second fraction, and the numerator of the second fraction with the denominator of the first fraction.

For 2/3 and 4/5, we have:

2 * 5 = 10

3 * 4 = 12

Since 10 is not equal to 12, we can conclude that 2/3 is not equivalent to 4/5.

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Answer:

f(x)= -2[x+1]

this is the answer of the question

Answer:

x = 2

Step-by-step explanation:

Given equation,

→ 4x - 22 = -14

Now the value of x will be,

→ 4x - 22 = -14

→ 4x = -14 + 22

→ 4x = 8

→ x = 8/4

→ [ x = 2 ]

Hence, the value of x is 2.

Answer: 4.5/5 = .9 * 60 = 54, so the answer is 54 minutes.

Answer:

2

Step-by-step explanation:

4²=16

16 × 3 = 48

2²=4

4 × 6 = 24

48 ÷ 24=2

(4² * 3) / (2² * 6)

Answer:

the awnser is 2

Step-by-step explanation:

4 times 6= 24

16 times 3=48

48 divided by 24 =2

Answer:

y= -x -3

Step-by-step explanation:

A perpendicular bisector of a line cuts through the line at its midpoint perpendicularly (90°).

Let's find the slope of the line segment.

\boxed{ slope = \frac{y _{1} - y_2 }{x_1 - x_2} }slope=x1−x2y1−y2

Slope of line segment

= \frac{4 - ( - 8)}{5 - ( - 7)}=5−(−7)4−(−8)

= \frac{4 + 8}{5 + 7}=5+74+8

= \frac{12}{12}=1212

= 1

The product of the slopes of 2 perpendicular lines is -1.

Let the slope of the perpendicular bisector be m.

m(1)= -1

m= -1

y= -x +c

To find the value of c, substitute a pair of coordinates in which the line passes through into the above equation.

Since the perpendicular bisector cuts through the midpoint of the line segment, let's find the coordinates of this midpoint.

\boxed{midpoint = ( \frac{x _{1} + x _2}{2} , \frac{y_1 + y_2}{2} )}midpoint=(2x1+x2,2y1+y2)

Midpoint of line segment

= ( \frac{5 - 7}{2} , \frac{4 - 8}{2} )=(25−7,24−8)

= ( \frac{ - 2}{2} , \frac{ - 4}{2} )=(2−2,2−4)

= (-1, -2)

y= -x +c

When x= -1, y= -2,

-2= -(-1) +c

-2= 1 +c

c= -2 -1

c= -3

Thus, the equation of the perpendicular bisector is y= -x -3.

No, the relationship on the table is not proportional

From the question, we have the following parameters that can be used in our computation:

x   y

____ ____

6 -2

7 -1

8 0

9  1

On the table of values, we can see that:

Using the above as a guide, we have the following:

The relationship is not a proportional relationship

This is so because it does not have a constant rate (addition of 1 to x and y does not represent proportional relationship)

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Answer:

b

Step-by-step explanation:

Answer:

3%

Step-by-step explanation:

They made 97+3 total jars, 3 out of 100 is 3 percent.

Answer:

A multiple is a number that can be divided by another number a certain number of times without a remainder. A factor is one of two or more numbers that divides a given number without a remainder. ... This number sentence tells us that 20 is a multiple of 5 and is also a multiple of 4.

Step-by-step explanation:

The solution to the equation x - 14 = 22 is x = 36

An equation is an expression that shows the relationship between numbers and variables using mathematical operators like addition, subtraction, multiplication and division. Equations can be linear, quadratic.

Let x represent the number. 14 less than a number is 22, hence:

x - 14 = 22

Add 14 to both sides of the equation:

x - 14 + 14 = 22 + 14

x = 36

The solution to the equation is x = 36

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To determine how much money Santa has we need to add the bills, this means that we need to do the addition:

To do this addition we write in the appropiate form, this is shown below:

Now that we have the addition written correctly we add 5 and 9, the result is 14. We write the 4 under them in the sum above and we need to carry the one.

After this we need to add 6 and 4 and the number we carried from the previous step, then we add 6, 4 and 1; the result is 11. We write the one below the 6 and the four in the addition and carry a one.

Finally we add what we carried with the one we have, the result is two and we write it below the one.

Hence the result is 214.

The steps described above are shown in the following picture:

Therefore, Santa has $214 after he received the bills.

Answer:

B

Step-by-step explanation:

g(x) = 12x - 2

g(1/4) = 12(1/4) - 2  ==> plug in 1/4 for x

g(1/4) = 12 * 1/4 - 2

g(1/4) = 12/4 - 2

g(1/4) = 3 - 2

g(1/4) = 1 ==> B

Answer:

Step-by-step explanation:

To evaluate g(1) for the function g(x) = 12x - 2, you can substitute the value 1 for x in the function:

g(1) = 12(1) - 2

g(1) = 12 - 2

g(1) = 10

Therefore, g(1) = 10. B

Answer:

575,000

Step-by-step explanation:

The new owners pay 15000 in property taxes.

Tax rate = (Tax amount/Price before tax) × 100%

⇒ Jenny's house appraised price = 550000.

⇒The asking price was 56000.

The selling price of the property =575000

the extra amount must be paid as a tax = 575000-56000

∴ tax amouny = 15000.

The standard formula

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Answer:

30

Step-by-step explanation:

6(3 + 2) + (8 - 2 × 4)

Always apply the law of BIDMAS when solving an expression

6(3 + 2)

18 + 12

30

(8 - 2 × 4)

= 8

8 - 8 = 0

30 + 0 = 30

The quantity of sugar needed for a cake, if 750 grams of flour are used to bake it is 300 grams.

Ratio demonstrates how many times one number can fit into another number. Ratios contrast two numbers by ordinarily dividing them.

In this case, the ratio of the quantities of sugar and flour needed to bake a cake is 2:5.

The quantity of sugar needed is illustrated by x.

This will be:

2/5 = x/750

Cross multiply

5x = 2 × 750

5x = 1500

Divide

x = 1500/5

x = 300

The sugar needed is 300 grams.

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Step-by-step explanation:

The expression you provided involves taking the square root of a negative number, which results in an imaginary number. In standard real number arithmetic, the square root of a negative number is undefined. However, in the realm of complex numbers, we can define a square root of negative numbers using the imaginary unit "i," where i is defined as the square root of -1.

Let's break down the expression step by step:

√(-25) / √9

The square root of -25 can be written as √(-1 * 25), which can further be simplified as √(-1) * √25.

√(-1) is equal to "i," and the square root of 25 is 5.

So, the expression becomes:

i * 5 / √9

The square root of 9 is 3.

Now, we can simplify further:

i * 5 / 3

Thus, the simplified expression is (5i) / 3, where "i" represents the imaginary unit.

Answer:

Step-by-step explanation:

A vertical line.

Because it has the direction of a plumb line.

Answer:

a vertical line.

Step-by-step explanation:

A horizontal line is a completely flat line, a left-and-right line like the horizon. It has zero slope.

Perpendicular means that the two lines make right angles. They are at 90° to each other, like a floor and the wall.

A vertical line is a straight up-and-down line. It is perpendicular to the horizontal line.

A vertical line has slope that is undefined.

Answer:

lx-3l

Step-by-step explanation:

negative in the abs means moving to the right

=========================================================

Explanation:

We start with the parent function y = |x|

Shifting it 3 units to the right will make the equation y = |x-3| and that's the equation of the green curve shown.

The x-3 is because each input is 3 units smaller than it used to be. Imagine the xy axis moved 3 units to the left while the V shaped graph stayed fixed in place. It would give the illusion the V shape moved while the xy axis stay fixed.

The graph doesn't shift up or down, so k = 0

The value of 'a' stays the same at a = 1.

Answer:

96√3 cm^2

Step-by-step explanation:

half base = 4 cm

height of each triangle = 4√3 cm

Area of each triangle

(8 * 4√3)/2 = 16√3 cm^2

area of the hexagonal = 16√3 * 6 = 96√3 cm^2

If Thabang worked for three hours and Ndivhu worked for two hours, then the total number of hours worked is five. To determine the amount Thabang will receive if they decided to share their money according to hours, we need to calculate the proportion of the total hours that Thabang worked and multiply that by the total amount of money earned.

Thabang worked for three out of five hours, which is 3/5 or 0.6 of the total time. To find out how much money he should receive, we can multiply this fraction by the total amount earned:

0.6 x R400 = R240

Therefore, Thabang should receive R240 if they decide to split the money based on hours worked.

The expected length of the piece that we are left with after breaking twice is L/4 and the variance Var(X) is 7L^2/144.

In the given question, consider a stick of length 1.

We break it at a point which is chosen randomly and uniformly over its length and keep the piece that contains the left end of the stick.

We then repeat the same process on the piece that we were left with.

We have to find expected length of the piece that we are left with after breaking twice.

In the same setting as Q7, suppose the length of the piece that we are left with after breaking twice is Y.

We also have to calculate the variance Var(Y).

Following Laws are used in the solution

Law of Iterated Expectations: E[X] = E[ E[X|Y] ]

& Law of total variance: Var(X) = E[Var(X|Y)]+Var(E[X|Y])

Now, Y = Length of the stick after we break it the first time

and X = length of the stick after we break it the second time

As both the distribution is uniformly distributed.

Now, E[Y] = L/2 and Var(Y)= l^2/12

E(x|y)[X|Y=y] = y/2 and Var(x|y)[X|Y=y] = y^2/12

As the expectation of uniform distribution over {a,b} is (b-a)/2 and variance is (b-a)^2/12

Using Law of Iterated Expectations

E[X] = E[ E[X|Y] ]

E[X] = E[ y/2 ]

E[X] = \int_{L}^{0}

E[X] = L/4

Now using Law of Total Variance

Var(X) = E[Var(X|Y)]+Var( E[X|Y] )

Var(X) = E[y^2/12]+Var(y/2)

Var(X) = (1/12)*E[Y^2]+(1/4)*Var(Y)

Var(X) = (1*12)*(Var[Y] + (E[Y])^2) + (1/4)*Var(Y)

Var(X) = (1/12)*(L^2/12+L^2/4) + (1/4)*(L^2/12)

Var(X) = 7L^2/144

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Answer: B

Step-by-step explanation:

The factors of 1 are \(\pm 1\)

The factors of 20 are \(\pm \{1, 2, 4, 5, 10, 20\}\).

By the rational root theorem, we see that the answer is B.

Answer:

2x, 2x + 2

Step-by-step explanation:

2x is even

2x + 2 = 2(x+1)

x and x+1 are consecutive integers

So multiplying both by 2 makes  them consecutive even integers

For example with x = 1

2x = 2, 2(x+1) = 2 . 2 = 4 which is next even consecutive integer

Answer:

2x, 2x + 2

Step-by-step explanation:

Each expression is divisible by 2, so it is even.

Find 2% of what she sold by multiplying the amount she sold by 2%:

5250 x 2% = 5250 x 0.02 = $105

Now add that to her monthly salary:

3462 + 105 = $3,567