Given G(x) = -3/2x-9, if g(x) = -48, find x.

The range of the function on the graph would be: D. all real numbers greater than or equal to 2

To obtain the range, observe the y values whose result can be obtained by the function of x. To obtain this range, we examine the graph and note that the range begins from 2 on the y-axis and extends upwards.

So, if we wish to define our range, we will enter all real numbers that are equal to or greater than 2 as seen in the direction of the graph.

Learn more about graphs here:

https://brainly.com/question/19040584

#SPJ1

The two positive numbers are 55, and 55.

Given that,

Two positive numbers whose product is a maximum and whose sum is 110.

To Find :  Two positive real numbers with a maximum product whose sum is 110.

x + y = 110

x = 110-y

Area = xy = (110-y)y

A = 110y-y^2

Maximum A occurs when y = -b/(2a) = -110/(2*-1) = 55

x + y = 110

x + 55 = 110

x = 55

and y is also 55.

Therefore, the two positive numbers are 55, and 55.

To learn more about Area click here:

brainly.com/question/27683633

#SPJ4

Answer:

  8.68 cm²

Step-by-step explanation:

You want the increase in surface area of a box with length and width 13 cm and 8.7 cm when the height is increased from 30 cm by 0.2 cm.

The increase in area is effectively the lateral area of the prism whose length and width are the same, but whose height is 0.2 cm. That is ...

  A = Ph = 2(L+W)h

  A = 2(13 cm +8.7 cm)(0.2 cm) = 8.68 cm²

The surface area increases by 8.68 cm².

We can find the total area of the box with the different dimensions, then subtract the original area from the increased area.

  A = 2(LW +H(L+W))

  A1 = 2(13·8.7 +30(13 +8.7)) = 1528.2 cm²

  A2 = 2(13·8.7 +30.2(13 +8.7)) = 1536.88 cm²

The increase in area is 1536.88 -1528.2 = 8.68 cm².

We prefer the first solution, as it requires a lot less arithmetic.

<95141404393>

Answer:

Step-by-step explanation:

set up the composite function and simplify: first one is -3, second is -2

Answer:

The total number of 6th graders surveyed is 20 + 26 = 46. Out of these 46 students, 20 have pets.

To find the percentage of 6th graders who have a pet, we can divide the number of 6th graders who have a pet by the total number of 6th graders surveyed and multiply by 100:

(20/46) x 100 ≈ 43.5

Therefore, approximately 43.5% of the 6th graders surveyed have a pet.

Step-by-step explanation:

Step-by-step explanation:

a probability is always the ratio of

desired cases / totally possible cases

the "group" is the totally possible cases = 119.

we pick 1 student.

female AND off-campus.

there are only 20 students that satisfy that criteria.

the probabilty for this event is then

20/119 = 0.168067227... ≈ 0.168

male AND on-campus.

there are 34 students that satisfy that criteria.

the probability for this event is then

34/119 = 0.285714286... ≈ 0.286

off-campus OR male.

there are 20+11 = 31 students off-campus.

and there are 34+11 = 45 male students.

the overlapping number of 11 students we need to count only once.

so, there are 20+11+34 = 65 students off-campus or male (incl. the on-campus males, as this is an or-criteria).

the probabilty for this event is then

65/119 = 0.546218487... ≈ 0.546

on-campus OR female.

there are 54+34 = 88 students on-campus.

and there are 54+20 = 74 female students.

the overlapping number of 54 students we need to count only once.

so, there are 54+34+20 = 108 students on-campus or female.

the probabilty for this event is then

108/119 = 0.907563025... ≈ 0.908

After arrange in order of ascending we get Option D is true.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The numbers are,

⇒ 0.27, 0.309, 0.3, 0.31

Now, We can arrange the number in ascending order as;

⇒ 0.27, 0.3, 0.309, 0.31

Hence, Option D is true.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ1

Answer:

Triangles A and B

Step-by-step explanation:

Similar triangles have congruent corresponding angles. Triangles a and b both have angle measures of 90°, 23° and 67°. Triangle C has different angle measures therefore it cannot be similar to either triangle A and B.

Similar triangles also have similar side length ratios via corrsesponding sides. This is true for triangles A and B eg. have corresponding side length ratios of 24/12 , 26/13 and 10/5 which all equal 2

So we can conclude triangles A and B are similar

Answer:

$180

Step-by-step explanation:

If the perimeter is 30 yards and each yard costs $6 you times 30 and 6 and you get $180

Answer:

it's third option the one who says 10 units up

Answer:

But Mars has no magnetosphere, and its atmosphere is over 100 times thinner than Earth's atmosphere. The trip to Mars and the stay on Mars will mean extended radiation exposure. Astronauts will need special habitats, suits, and machines that will protect them from radiation, which otherwise could cause cancer.

Step-by-step explanation:

The correct statements are;

The x-intercept of f(x) and the y-intercept of f–1(x) are reciprocals of each other.

The point of intersection of the two functions indicates that the functions are inverses.

Option C and D

To accurately compare a function and its inverse based on the graphs, we have to know the following;

Learn more about functions at: https://brainly.com/question/11624077

#SPJ1

Answer:

147.51 the difference is just 1.49

Answer:

Discount : 28.43

Selling price : 129.51

Hope this helps

Please mark me as the brainliest

Thank you

Answer:

\(h ^{2} \: \: and \: \: 64\)

The product of the square of h and 8​ is \(8h^{2}\).

We now recognize that we should square the "\(h\)", which makes it "\(h^{2}\)". however, we want to understand the product of \(h^{2}\) an eight. A product is an answer to a multiplication problem, because of this we should multiply those phrases collectively. Consequently, the best expression is  (\(h^{2}\)) x \(8\), which can be simplified to \(8h^{2}\)

To find the product of the square of \(h\) and \(8\)

First, the square of \(h\)

In a mathematical language, the square of \(h\) can be written as \(h^{2}\)

Second, the product of the square of \(h\) and \(8\)

When talking about products, you want to refer to multiplication. So, the statement can be written as \(8h^{2}\)

Learn more about square here brainly.com/question/428672

#SPJ9

Statement 1: k || l

Reason 1: Given

Statement 2: Angle 3 is supplementary to angle 7

Reason 2: Assumed from diagram

Statement 3: Angle 1 and Angle 3 are congruent

Reason 3: (I actually cant remember the reason for this one or what it is called, but I know that angle 1 and 3 are congruent. Hopefully you can remember this one because I cant)

Statement 4: Angle 1 is supplementary to Angle 7.

Reason 4: Substitution Property

Sorry for not remembering reason 3. Hope this still helps

Answer:

A: 57

Step-by-step explanation:

We are told that;

When x = 7, log y = 1.755

Since we want to find the value of y when x = 7, and the log function is in base 10, we will just use anti log to solve for y in the equation.

Thus;

Log₁₀y = 1.755

y = 10^(1.755)

y = 56.89

Approximating to a whole number gives;

y = 57

Answer:

The equation of your line is y=1x+2

Step-by-step explanation:

first you take y2-y1/x2-x1

y2=-1     y1=5

x2= -3   x1= 3

that gives you your slope so (-1-5)/ (-3-3) = 1

y=mx+b

mx is your slope

y=1x+b

to solve for b you input your slope and one of your points (I used (3,5)

5=1(3) +b

solve for b and you get 2

then put your mx and b into the equation of a line

y=1x+2

and thats your answer

You can also check your work by using a graphing calculator and checking that the line goes through those two points.

Step-by-step explanation:

first off, we'll move the non-repeating part in the decimal to the left-side, by doing a division by a power of 10.

then we'll equate the value to some variable, and move the repeating part over to the left as well.

anyhow, the idea being, we can just use that variable, say "x" for the repeating bit, let's proceed,

\begin{gathered}\bf 0.580\overline{80}\implies \boxed{\cfrac{5.80\overline{80}}{10}}\qquad \textit{now, let's say }x= 5.80\overline{80}\\\\ -------------------------------\end{gathered}

0.580

80

⟹

10

5.80

80

now, let’s say x=5.80

80

−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−

\begin{gathered}\bf thus\qquad \begin{array}{llll} 100\cdot x&=&580.80\overline{80}\\ &&575+5.80\overline{80}\\ &&575+x \end{array}\qquad \implies 100x=575+x \\\\\\ 99x=575\implies x=\cfrac{575}{99}\qquad therefore\qquad \boxed{\cfrac{5.80\overline{80}}{10}}\implies \cfrac{\quad \frac{575}{99}\quad }{10} \\\\\\ \cfrac{\quad \frac{575}{99}\quad }{\frac{10}{1}}\implies \cfrac{575}{99}\cdot \cfrac{1}{10}\implies \cfrac{575}{990}\implies \stackrel{simplified}{\cfrac{115}{198}}\end{gathered}

thus

100⋅x

=

580.80

80

575+5.80

80

575+x

⟹100x=575+x

99x=575⟹x=

99

575

therefore

10

5.80

80

⟹

10

99

575

1

10

99

575

⟹

99

575

⋅

10

1

⟹

990

575

⟹

198

115

simplified

Because 80 is repeat and simply .80 = .8

So, answer is 0.5(8)

Good luck.

Answer:

none of these

Step-by-step explanation:

An equation in the form of direct variation is in the form

y = kx

Checking each equation and substituting the point

-12 = -1/2 (9)

-12 = -4.5  not true

-12 = -1 1/2 (9) = -3/2 *9 = -27/2 - 13.5

-12 = -13/5  not true

-12 = 1/3 (9)

-12 = 3  not true

-12 = -3(9)

-12 = -27 not true

9514 1404 393

Answer:

  k = 2

Step-by-step explanation:

The slope formula gives the slope between two points:

  m = (y2 -y1)/(x2 -x1)

  -2 = (-2 -0)/(3 -k)

Multiplying by (3 -k) gives ...

  -2(3 -k) = -2

  3 -k = 1

  k = 3 -1 = 2

The value of k is 2.

The time it will take after 17 repetitions with the learning curve having a rate of 80% is of:

6.19 seconds.

The learning curve formula is an exponential function defined as follows:

\(y = ab^x\)

In which the parameters are listed as follows:

Then y gives the time it takes to make the xth object.

In the context of this problem, the values of the parameters are given as follows:

Then the time needed for the 17th repetition is of:

y = 275 x (0.8)^17 = 6.19 seconds.

More can be learned about the learning curve formula at https://brainly.com/question/20846785

#SPJ1

x = (12 ± √(-16)) / 4,The solutions would be complex numbers.

To solve quadratic equations of the form ax2 + bx + c = 0, use the quadratic formula. For this situation, your condition is as of now as a quadratic condition, with a = 2, b = - 12, and c = 20.

The quadratic formula is:

x = (-b ± √\((b^2 - 4ac)\)) / 2a

Plugging in the values for a, b, and c, we get:

x = (-(-12) ± √\(((-12)^2 - 4(2)(20)))\) / 2(2)

Simplifying the expression inside the square root:

x = (12 ± √\((144 - 160)\)) / 4

x = (12 ± √(-16)) / 4

Since the square foundation of a negative number is definitely not a genuine number, this condition has no genuine arrangements. Complex numbers would provide the answers.

know more about complex number visit :

https://brainly.com/question/20566728

#SPJ1

The results can be shown in multiple forms;

4 = 4, All real numbers, Always true, Interval notation: (-∞,∞).

Move all terms containing \(x\) to the left side of the equation.

\(Subtract\\3x+4-3x=4\\\)

Combine the opposite terms in \(3x+4-3x\)

\(Subtract\\3x from 3x.\\\\0+4=4\\\\Add\\0+4=4 \\4=4*\)

Since \(4=4\) the equation will always be true.

The maximum height reached by the ball is 908.5 feet.

Using the given values, we can substitute v0 = 152 and h0 = 6 into the equation:

\(h(t) = -16t^2 + 152t + 6\)

This quadratic function models the height of the ball at any time t after it is thrown.

To find the maximum height of the ball, we need to find the vertex of the parabolic curve described by the quadratic function. The vertex can be found using the formula:

t = -b / 2a

where a = -16 and b = 152 are the coefficients of the quadratic function.

t = -152 / 2(-16) = 4.75

So the maximum height is reached after 4.75 seconds. To find the maximum height, we can substitute this value back into the equation:

\(h(4.75) = -16(4.75)^2 + 152(4.75) + 6 = 908.5\)feet

Therefore, the maximum height reached by the ball is 908.5 feet.

for such more question on height

https://brainly.com/question/27987869

#SPJ11

Question

A ball is thrown vertically upward from a height of 6 feet with an initial velocity of 152 feet per second. Write a quadratic function to model the vertical motion of the ball, given that the height of the ball at time t is given by: h(t) = -16t^2 + v0t + h0

Answer:

The answer is A and B

Step-by-step explanation:

I got it straight from USA test prep

Answer:

383.7

Step-by-step explanation:

Triangles QNR and RMQ are congruent

PQR is an isosceles triangle, by extension PQ = PR.

Considering the triangles QNR and RMQ:

Given that angle MRQ = angle NQR.

Likewise, angle RQM = angle RQN (since they are vertically opposite angles).

Consequently, angle MRQ = angle RQM + angle NQR = angle RQN + angle NQR = angle RNQ.

Hence, two pairs of angles that are equal:

angle MRQ = angle RNQ

angle RMQ = angle RQN

Also, PQ = PR, and for M and N are on PQ and PR at the same time, then, MQ = NR.

Through the angle-side-angle (ASA) congruence criterion, we can conclude that triangles QNR and RMQ are congruent.

Therefore, we have proved that triangles QNR and RMQ are congruent.

learn more about congruence criterion: https://brainly.com/question/30094441

#SPJ1

Answer:

512cm³

Step-by-step explanation:

to get the volume the formula is Base area x height

BA X H

=8x8x8 because all sides of a cube are equal

=512cm³

A sorting algorithm is defined as an algorithm that sorts the elements of a list. The most commonly used sequences are numerical sequence and lexicographical sequence, ascending or descending.

A sorting algorithm is used to reorder an array or list of elements according to an element comparison operator. Comparison operators are used to define a new order of elements in that data structure. Consider example, The above list of characters is sorted in ascending order by their value. That is, characters with lower values are placed before characters with higher values. It is important in real life because it supports the development of the scientific concept that things can be owned and organized into distinct groups (e.g. creatures, cars, weather types, etc.). We will now discuss some real-world examples of using sorting algorithms.

1) Your phone's contact list is sorted. This means that your data is organized in this way so you can easily access the contacts you want from your phone. That is, "I ordered."

2) Paper sorting : Imagine a teacher sorting students' work alphabetically by student name. This type of operation is similar to the functionality of sorting algorithms such as bucket sort. Sorting is more efficient process.

3) Traffic lights : Traffic lights are a good example of how algorithms are used in the real world around us. Next time you get stuck in a car at a red light, think about the algorithm that traffic lights run." Most traffic lights don't automatically switch between green, yellow, and red. This algorithm is a well-established turn-by-turn algorithm that directs traffic correctly. It's in order (it may not seem that way when you're sitting at a red light).

To learn more about sorting algorithm, refer:

https://brainly.com/question/14698104

#SPJ4