Use your calculator to find the angle, to the nearest hundredth of a degree, whose tangent value is
O 0.35
O 18.43
O 0.32
O 71.57

Given:

The quadratic equation is

\(y=3x^2-18x+15\)

To find:

The x-coordinate and y-coordinate of the vertex.

Solution:

If a quadratic function is defined by \(f(x)=ax^2+bx+c\), then the vertex is defined as:

\(Vertex=\left(\dfrac{-b}{2a},f(\dfrac{-b}{2a})\right)\)

If \(a<0\), then the function has a maximum at the vertex and ff \(a>0\), then the function has a minimum at the vertex.

We have,

\(y=3x^2-18x+15\)

Here, \(a=3,b=-18,c=15\).

Since \(a=3>0\), therefore the function has a minimum at the vertex. So, fill min in first blank.

Now,

\(\dfrac{-b}{2a}=\dfrac{-(-18)}{2(3)}\)

\(\dfrac{-b}{2a}=\dfrac{18}{6}\)

\(\dfrac{-b}{2a}=3\)

Putting x=3 in the given function, we get

\(y=3(3)^2-18(3)+15\)

\(y=27-54+15\)

\(y=-12\)

Therefore, the vertex is at point (3,-12).

Answer:

ax+182

Step-by-step explanation:

a*x+14*13

ax+182

Answer:

1.15683 1381 * 10^15

Step-by-step explanation:

To get the answer, first, get the product of 36 and 9

This can be obtained by multiplying 36 with 9

36 * 9 = 324

We then raise 324 to the power of the sum of 2 and 4

The sum of 2 and 4 is gotten by adding 2 to 4

So,

2 + 4=6

Therefore, 324 raised to the power of 6

= 1.15683 1381 * 10^15

Option A. c - 0 = b - a is the missing statement in Step 4 of the proof.

To determine the missing statement in Step 4 of the proof, let's examine the given table and image related to the relationship between the slopes of two parallel lines.

Step 1: Given the slopes of two parallel lines, m₁ and m₂.

Step 2: Assume two points on each line: (0, a) and (c, b).

Step 3: Calculate the slopes using the slope formula: m₁ = (b - a) / (c - 0) and m₂ = (d - a) / (0 - c).

Step 4: ??? (Missing Statement)

Step 5: Since the lines are parallel, the slopes are equal, so m₁ = m₂.

By analyzing the given information, we can identify the missing statement by comparing the calculated slopes:

From Step 3, we have:

m₁ = (b - a) / (c - 0)

m₂ = (d - a) / (0 - c)

Comparing the two slopes, we can see that (b - a) / (c - 0) = (d - a) / (0 - c).

To express this relationship, the missing statement in Step 4 should be:

A. c - 0 = b - a

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Answer:

Step-by-step explanation:

1a) the y intercept, or 20

b) from 0 weeks to 1 week the difference is 10

c) its y=mx+b m is the slope(difference) and b is the y-int so y = 10x+20

2a) the y int, is the same as the x(number of games played) being zero, so here it is 25

2b) after 3 games it was a loss of 1.50 !!! IMPORTANT !! after THREE weeks, so its 1.5/3=0.5 amount on card per week

2c) (ref 1c) but with that same formula/equation - we get y=0.5x+25

Answer:

I would have to say A) 32 + 45 + 39: 3

Step-by-step explanation:

This is because when finding the average of literally anything, you want to add up all the numbers, and then divide the sum of it by the numbers you added up.

for instance: 32 + 45 + 39 = 116. now, we need to divide by 3 because we added 3 numbers up.

116 divided by 3 = x

x is our average cost per books.

hope this helped, gl on your test!! :')

Answer:

z(3-8xy+4x^2y^2)

a. Thus, the probability that a randomly selected house has a value less than $500,000 is 0.71

b.   the probability  that the mean value of the 40 houses is less than $500,000 is 0.9863

a. The mean of the distribution is given as $403,000 and the standard deviation is $278,000.

To estimate the probability that a randomly selected house  has a value less than $500,000:

P( x < 500,000)=P(x=0)+P(x=500)

=0.34+0.37+

=0.71

Thus, the probability that a randomly selected house has a value less than $500,000 is 0.71

b. -since 40 is larger than or equal to 30, we assume a normal distribution.

-The probability can therefore be calculated as:

P(x')=P( z < (x' -u)/σ.sqrt(n)))

P(z< (500-403)/(578sqrt(40)))

=P(z<2.2068)

=0.986336

Hence, the probability  that the mean value of the 40 houses is less than $500,000 is 0.9863

The complete question is -

a) Suppose one house from the city will be selected at random. Use the histogram to estimate the probability that the selected house is valued at less than $500,000. Show your work.

(b) Suppose a random sample of 40 houses are selected from the city. Estimate the probability that the mean value of the 40 houses is less than $500,000. Show your work.

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Answer:

This statement means that subgroups divide a larger group into smaller groups, and each of these smaller groups has the same number of things in it. For example, if there are 12 people in a group, and they form subgroups of 3 people each in a group, there will be 4 groups total, and each individual subgroup will have 3 people in it.

Answer:

joe

Step-by-step explanation:

2 in = 5.08 cm So 2in is greater

Answer:

Step-by-step explanation:

We need to multiply each dimension by 3.

The base was 3*15 = 45

and the height = 3*9 = 27.

Answer:

The answer is 7 because if we write 7 - 8 = -1, then we could see that the answer would be -1 since 7 is 1 value lower than 8, and 8 - 8 = 0, so if 7 is lower than 8 by 1, then you would go one value lower from 0, which is -1. You can also figure this out by looking at a number line and starting from 7 and then going backwards 8 times and whatever number you land on after going back 8 times is your answer.

The rational function graphed in this problem is given as follows:

D. F(x) = x/[(x + 4)(x - 1)]

The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator, hence they are given as follows:

x= -4 and x = 1.

Hence the denominator of the function is given as follows:

(x + 4)(x - 1).

The intercept is given as follows:

x = 0.

Hence the numerator is:

x.

Thus the function is given as follows:

D. F(x) = x/[(x + 4)(x - 1)]

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The formula for calculating margin of error is expressed as

Where

p represents the probability of success

q represents the probability of failure

n represents sample size

z represents the z score for a 95% confidence interval

From the information given,

p = 30% = 30/100 = 0.3

q = 1 - p = 1 - 0.3 = 0.7

n = 4500

From the standard normal distribution table, z = 1.96

By substituting these values into the formula, we have

margin of error = 0.013

Step-by-step explanation:

-4m -5n = 1 ------------------(1)

-6m +12n = -18--------------(2)

multiplying eq (1) by 3 and (2) by 2

therefore, the new eq obtained is

-12m -15n = 3 --------------(3) subtracting (3) AND

-12m +24n = -36-----------(4) (4)

(+) (-) (+)

--------------------------

-39n = 39

n= -1 ------------(5)

subtituting (5) in (1)

therefore,

-4m -5×-1 =1

-4m +5=1

-4m=1-5

-4m=-4

m= 1

hence calue of m is 1 and n is -1

Answer:

\(x=29^{\circ}\)

Step-by-step explanation:

Please refer to the picture attached as I labeled the angles.

Given

\(\angle{B}=90^{\circ}\)

\(\angle{ADB}=58^{\circ}\)

\(AD=CD\)

\(\angle{ACD}=\angle{CAD}\) which also equals x in your picture.

We need to use the Exterior Angle Property to evaluate x.

This property states that the exterior angle equals sum of two interior opposite angles.

\(\angle{ACD}+\angle{CAD}=58^{\circ}\)

Substitute x for \(\angle{ACD}\) and \(\angle{CAD}\).

\(x+x=58^{\circ}\)

Add x and x.

\(2x=58^{\circ}\)

\(x=29^{\circ}\)

Answer:

The angle is 32

Step-by-step explanation:

The formula for the sum of interior angles is \((n-2)180\)

We have a triangle inside a triangle.

A triangle has 3 sides.

\((n-2)180\\(3-2)180\\1(180)\\180\)

The picture shows us an angle of 90 and 58.

All 3 angles must add up to 180.

\(180-90-58\)

\(x=32\)

Answer:

300.5

Step-by-step explanation:

Firstly, you must remember PEMDAS. This formula shows what order to do which parts of the equation!

Parenthesis

Exponents

Multiplication

Division

Addition

Subtraction

The parenthesis mean that we must do the two equations in them separately.

So, first do 3 x 10². Next, do 5 x 1/10. Finally, add the two products together!

3 x 10² = 300

5 x 1/10 = 0.5

300 + 0.5 = 300.5

:)

Answer:

131072

Step-by-step explanation:

Answer: The answer is 131072.

Step-by-step explanation:

Using a calculator, we find that \(2^{17}=\boxed{131072}.\)

Given statement solution is :- If the expression is set equal to 10x + 5, then there would be one solution.

If the expression is set equal to 10x + 7, then there would be no solution.

If the expression is set equal to -10x + 5, then there would be one solution.

If the expression 12x - 6x + 5 + 4x is set equal to 10x + 5, then there would be solution(s).

If the expression is set equal to 10x + 5, then there would be one solution.

If the expression is set equal to 10x + 7, then there would be no solution.

If the expression is set equal to -10x + 5, then there would be one solution.

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Answer:

-7

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

|13-15|=|-2|=2

|-5|=5

2-5=-3

9514 1404 393

Answer:

  $0 -- y-intercept

  $10 per hour -- slope

Step-by-step explanation:

We would need to see grid lines on the graph, or the point in the upper right corner to be sure. It appears as though the slope is about $40 / 4 h, or $10 per hour.

The y-intercept is the point at lower left, (0, 0).

A relation that has more than one output of each input. That is not a function. A function only has one output of each input. Function a and function b are linear functions. Function a is represented by the table values. function b is represented by the equation y=3x+4.

Domain, is a term that is used to measure the independent variable’s values. Also known as the “x” values. It tells you what values of “x” are applicable in the function. What values will satisfy the function.

Range, is a term used to measure the dependent variable’s values. Also known as the “y” values. It tells you what values of why does the graph of the function extends till.

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Answer: first, second and fourth are primes, the third is not-prime.

Hope it helps :)

Answer:

Step-by-step explanation:

1) f(-4) --> if x < or equal to 3

2) 1/(-4)-4

3) The answer is - 1/8