Explain what needs to happen to the inequities sign when dividing or multiplying by a negative number

Answers

Answer 1

Inequality symbols need to be reversed when multiplying or dividing by a negative number, because that reverses the ordering of values.
2 > 1
-2 < -1 . . . . . multiplied or divided by -1

___
A more "interesting" case is when a function is applied that has a negative slope.
0 < a < b < π
cos(0) > cos(a) > cos(b) > cos(π)

Related Questions

7x(x+4)

A. 7x^2+4
B. 7x^2+28x
C.8x+4
D.8x+11

Answers

Use distributive property:

a(b + c) = ab + ac.

7x(x + 4) = (7x)(x) + (7x)(4) = 7x² + 28x

Answer: B. 7x^2 + 28x

Evaluate the determinant for the following matrix:
-4 -4 -3
3 3 -5
-5 2 -5
A. –203 B. 75 C. –152 D. –263

Answers

Looks like it is from China, but... I color coded the numbers. Multiply across the dashed lines.

Answer:

The determinant of matrix is -203

Step-by-step explanation:

Given the matrix of order 3 i.e

[tex]A=\begin{bmatrix}-4&-4&-3\\ 3&3&-5\\ -5&2&-5 \end{bmatrix}[/tex]

we have to find the determinant of matrix A

[tex]|A|=-4(-5(3)-(-5)(2))-3((-4)(-5)-(-3)(2))+(-5)((-5)(-4)-(-3)(3))\\\\|A|=-4(-15+10)-3(20+6)-5(20+9)\\\\|A|=-4(-5)-3(26)-5(29)\\\\|A|=20-78-145\\\\|A|=-203[/tex]

Hence, the determinant of matrix is -203

Option A is correct.

A lake has the capacity to support 10,000 trout. Suppose that the conditions are such that the current population of trout will grow logistically up until it stabilizes at the amount that the lake can support. Currently there are 1,500 trout in the lake. Which of the following is a possible model for P(t), the trout population in t years?

Answers

I just got this problem, I'm not sure if it's right but I got P(t) = 10,000/ (1+9e^0.48t)

Answer:

P(t) = 10,000/ (1+9e^-0.48t)

Step-by-step explanation:

i think because it starts at around 1500 for t=1 and then when t=2 and so on it grows exponentially.

please help me thank you.

Answers

∠AOC is a "central angle".

_____
Any angle with sides that are radii and a vertex at the center of the circle is a central angle.

A person at ground level measures the angle of elevation to the top of a building to be 74degrees if at this point the person is 34 feet away from the base of the building, then how tall is the building round to the nearest tenth.

Show work

Will give brainliest to best answer

Answers

see the attached figure

Let
h---------> building tall

we know that
tan 74°=h/34---------> h=34*tan 74°--------> 34*3.487------> 118.57
h=118.6 ft

the answer is h=118.6 ft

For which data representation is the median the better measure of center

Answers

Answer: The second graph

In all but the 3 graphs, the data is perfectly symmetrical. This means that the mean and the median would be the same.

However, in the second graph the data is skewed to the right. This means that the mean would also be skewed to the right due to the larger scores there. Using the median in this case would give a clearer picture of the data.

A tent forms an equilateral triangular prism, with both triangular faces exposed. each side of the triangular face has a length of 196196196 centimeters (\text{cm})(cm)left parenthesis, c, m, right parenthesis, and the tent is 250\,\text{cm}250cm250, space, c, m long. what is the height, in centimeters, of the tent?

Answers

Given:
Equilateral Triangular Prism
Each side of the triangular face has a length of 196cm
The tent is 250cm long

I have attached an image of the tent. Since the height of the tent is also the height of the triangle, I will solve for the height of the triangle using Pythagorean theorem.

I divided the equilateral triangle into 2 right triangle. The height then becomes the long leg of the triangle. The hypotenuse is 196cm and the short leg is 98cm, half of one side of the triangle.

a² + b² = c²
a² = c² - b²
a² = (196cm)² - (98cm)²
a² = 38,416cm² - 9,604cm²
a² = 28,812cm²
a = √28,812cm²
a = 169.74cm

The height of the tent is 169.74 centimeters.

which reason justifies the last step in a proof that ΔEDG≌ΔADC?

Answers

it is side angle side postulate
fd is congruet to db
ed is congruent to da
and vertical angles theorem

Write the polynomial in standard form. Then name the polynomial based on it's degree and number of terms.

3 - 10x^2 - 7x + 3x^2

Answers

In standard form...
-7x^2 - 7x + 3

This is a trinomial because it has 3 terms.
The degree of this polynomial is 2.

You bought a coat at $78.50 and two shirts at $21.99 each. if the sales tax rate is 7%, how much is the total purchase?

Answers

7% of the coat is $5.49. 7% of the shirts is $1.54 each. adding up the taxes ($8.57) with the base total ($122.50) would add up to $131.07

Answer:

The answer is going to be $131.05

Step-by-step explanation:

I just took the test

This figure shows circle O with inscribed ∠XYZ. m∠XYZ=76∘ What is the measure of XYZ?

Answers

check the picture below.

now, the inscribed angle is at ∡XYZ and is 76°, that means by the "inscribed angle theorem", the intercepted arcXZ, in red, is twice as much, namely 152°.

keeping in mind that a circle has a total of 360°, and since the red arc has already taken up 152°, the arcXYZ in blue, will pick up the slack from 360° - 152°, namely 208°.

Which of the following statements describes a correct method for solving the equation below?
3x + 3 = 6x

A. Subtract 3x from both sides of the equation, and then divide both sides by 3.
B. Add 3x to both sides of the equation, and then divide both sides by 3.

C. Divide both sides of the equation by 6, and then subtract 3 from both sides.

D. Divide both sides of the equation by 6, and then add 3 to both sides.

Answers

Selection A works best.

_____
The other choices get you to a place where further work is necessary. They don't really contribute to solving the equation.

A) is the correct answer.

3x + 3 = 6x
3x-3x + 3 = 6x - 3x
(3x -3x cancel each other out, leaving you with 3)
3 = 3x
3/3 = 3x/3
1 = x
x = 1

Now Verify-
3x + 3 = 6x
3(1) + 3 = 6(1)
3 +3 = 6
6 = 6

Now can also use the guess and check way. But this is my way of solving it. I hope it helped.

A trapezoid has an area of 150 square meters. If the bases are 14 meters and 16 meters, what us the height of the trapezoid?

Answers

To find the area of a trapezoid, we use the following formula:
[tex]a = \frac{1}{2} (b1 + b2) \times h[/tex]
In this formula a represents the area and b1 and b2 each represent a base of the trapezoid.

So, we have got the following information
[tex]a = 150[/tex]
[tex]b1 = 14[/tex]
[tex]b2 = 16[/tex]

Filling in the formula gives us:
[tex]150 = \frac{{1} }{2} \times (14 + 16) \times h[/tex]
[tex]150 = \frac{1}{2} \times 30 \times h[/tex]
[tex]150 = 15 \times h[/tex]
Finally we have to divide both sides by 15.
[tex]h = 150 \div 15 = 10[/tex]
Therefore, the height of the trapezoid is 10 meters.

Many 1/2 inch cubes can fit into a box that is 15 inches tall, 1 1/2 inches wide, and 3 inches long?

Answers

The answer is 20, I hope this helps!

Find the inverse of the following function. f(x) 8√ x for x > 0

Answers

The inverse of the function f(x) = 8√x for x > 0 is g(x) = x^2/64.

To find the inverse of the function f(x) = 8√x for x > 0, we need to interchange the roles of x and y and solve for y.

Let's start by rewriting the function using y instead of f(x):

y = 8√x

Next, we'll swap x and y:

x = 8√y

To isolate y, we can square both sides:

[tex]x^2 = (8\sqrt y)^2\\\\x^2 = 64y[/tex]

Now, divide both sides by 64:

[tex]x^2/64 = y[/tex]

Simplifying further:

[tex]y = x^2/64[/tex]

Therefore, the inverse of the function f(x) = 8√x for x > 0 is given by [tex]g(x) = x^2/64.[/tex]

To know more about inverse, refer here:

https://brainly.com/question/28595565

#SPJ6

Rotate this image 90 clockwise around the point (-1 1 )

Answers

To rotate clockwise 90 degrees from a point (x, y) the image will be (y, -x)

In this case given the point (-1, 1), the image will be (1, -(-1)) or (1, 1)

Answer: You didn't put options A, B, C, OR D

no picture either

Step-by-step explanation:

A store owner paid $15 for a book she marked up the price of the the book by 40% to determine its selling price part A what is the selling price of the book? Part B a customer buys a different book that has an original selling price of $38 the book is discounted 25% the costumer must pay 6% sales tax on the discounted price of the book .what is the total amount the customer must pay for the discounted book

Answers

A:

40% = 0.4

15*0.4 = 6

15 + 6 = 21

The marked up price is $21

B:

To find the discounted price:

25% = 0.25

38*0.25 = 9.5

38 - 9.50 = 28.50

To find the tax and price after tax:

6% = 0.06

28.50*0.06 = 1.71

So tax is $1.71

28.50 + 1.71 = 30.21

Price after tax is $30.21

What is the measure of ∠EGF?

What is the measure of ∠CGF?

Answers

measure of ∠EGF = 1/2( 180 - 50)
= 1/2(130)
= 65

the measure of ∠CGF = 180 - 65
= 115

Hello!

This is an isosceles triangle, which means its base angles are congruent. Interior angles of triangle add to equal 180 degrees, so you can make an equation to solve for the measure of the base angles. I'll call the base angles x.

180 = 50 + 2x
130 = 2x
65 = x

That gives you m∠EGF and m∠FGE (65°).

To find m∠CGF, you must know that it and ∠EGF are supplementary (they add to equal 180 degrees). Make another equation setting them to equal 180 using m∠EGF (65°):

180 = 65 + x
115 = x

Answer:
m∠EGF = 65°
m∠CGF = 115°

Suppose the dial on the spinner is spun 2 times in a row.

X is the number of times the dial lands on region A.

Which table represents the probability distribution for the variable X?

Answers

If you spin the dial two times there three things that can happen:
1) Dial does not land in the region A
2) Dial lands once in the region A
3) Dial lands twice in the region A
The combined probability of these three events has to be 1.
Let's calculate probabilities of each event:
[tex]1) P=P(1,1)=\frac{2}{3}\cdot\frac{2}{3}=\frac{4}{9}\\ 2)P=P(1,2)+P(2,1)=2\cdot \frac{2}{3}\cdot \frac{1}{3}=\frac{4}{9}\\ 3)P=P(3,3)=\frac{1}{3}\cdot\frac{1}{3}=\frac{1}{9}[/tex]
If we summ all those probabilities we get 1.
The answer would table C (lower left corner).

if this is your spinner the answer is

the answer is

X P

0 1/9

1 4/9

2 4/9

How many numbers less than 1000 are divisible by 7?

Answers

==> The number of positive integers divisible by 7 but not by 11 is 142 - 12 = 130. ==>the number of positive integers less than 1000 that are divisible by either 7 or 11is 142 + 90 - 12 = 220. ==>the number of positive integers less than 1000 that are divisible by exactly by one of 7 and 11 is 220 - 12 = 208.

In parallelogram DEFG, DH = x + 3, HF = 3y, GH = 3x – 3, and HE = 5y + 4. Find the values of x and y.
x = 5, y = 12
x = 5, y = 9
x = 4, y = 9
x = 9, y = 4

Answers

We have that in this case the following equalities are met:
DH = HF
x + 3 = 3y
GH = HE
3x - 3 = 5y + 4
We then have the following system of equations:
x-3y = -3
3x-5y = 7
Resolving the system graphically we obtain the following values:
x = 9
y = 4
Note: see attached image.
Answer:
The values of x and y are:
x = 9, y = 4

Final answer:

In parallelogram DEFG, DH = x + 3, HF = 3y, GH = 3x – 3, and HE = 5y + 4. Solving the equations yields x = 9, y = 4.

Explanation:

To find the values of x and y in parallelogram DEFG, we'll use the properties of parallelograms. In a parallelogram, opposite sides are equal in length.

Given that DH = x + 3 and HF = 3y, and that DH is opposite to HF, we have:

x + 3 = 3y ...(1)

Similarly, given GH = 3x - 3 and HE = 5y + 4, and that GH is opposite to HE, we have:

3x - 3 = 5y + 4 ...(2)

Now, we have a system of two equations (1) and (2) to solve for x and y.

From equation (1):

x = 3y - 3 ...(3)

Substitute equation (3) into equation (2):

3(3y - 3) - 3 = 5y + 4

9y - 9 - 3 = 5y + 4

9y - 12 = 5y + 4

4y = 16

y = 4

Now, substitute the value of y into equation (3):

x = 3(4) - 3

x = 12 - 3

x = 9

So, the values of x and y are x = 9 and y = 4. Thus, the correct answer is x = 9, y = 4.

Yesterday , the snow was 2 feet deep in front of archies house. Today, the snow depth dropped to 1.6 feet because the day is so warm.What is the percent change in the depth of the snow?

Answers

earlier snow depth = 2 feet
later snow depth = 1.6 feet

change
2 - 1.6
0.4 feet

percentage change
(0.4 / 2) * 100
20 %

80% is still left, therefor the percent change is 20%

Can someone please help me.

The polygons are similar. Write a similarity statement and give the scale factor

Answers

the scale factor is
[tex] \frac{4}{3} [/tex]
all you need to so is take one of the sides from the larger figure and divide it by the corresponding side on the smaller figure for example
[tex] \frac{24}{13} [/tex]
which simplifys to your answer
[tex] \frac{4}{3} [/tex]

Compare the values of the underlined digits.

34,258 and 47,163
- -

The value of 4 in _________ is______ times the value of 4 in ________

PLEASE ANSWER ASAP IT'S FOR MY SISTER

Answers

In the first number, the "4" is in the thousands place - meaning it is 4,000 + 30,258
In the second number, the "4" is in the ten thousands place - meaning it's
40,000 + 7,163.
40,000/4,000 = 10
The value of 40,000 in the second value is 10x greater than the value of 4,000 in the first value.

Instructions:Select the correct answer from each drop-down menu. The sum of the squares of two consecutive positive even numbers is 340. Find the numbers. The consecutive even numbers are

Answers

Looking at the problem, you can come up with an equation for the consecutive numbers.

[tex] x^{2} + (x + 2)^{2} = 340[/tex]

If we expand the second term:
[tex] x^{2} + x^{2} + 4x + 4 = 340[/tex]

Combine like terms:

[tex]2 x^{2} + 4x + 4 = 340[/tex]

You can reduce this by dividing both sides of the equation by two:

[tex] x^{2} + 2x + 2 = 170[/tex]

And we transpose 170 to get a standard quadratic form that the right side will be zero:
[tex] x^{2} + 2x - 168 = 0[/tex]

Then factor the left side:
[tex](x +14)(x-12) = 0[/tex]

Find out the values of x that makes each factor = 0
x + 14 = 0
x = -14

We can eliminate the negative symbol because the problem is asking for positive even integers.

and;

x - 12 = 0
x = 12

Now we can say that the first positive integer is 12 and the second one is 14

lets name the numbers as x and x + 2
the sum of the squares of these 2 numbers are 340
x² + (x+2)² = 340
x² + x² + 4x + 4 = 340
2x² + 4x - 336 = 0
we are left with a quadratic equation
coefficient of x is 2 therefore divide each number by 2
x² + 2x - 168 = 0
to solve the quadratic equation , the 2 factors whose product is 168x² and sum is 2x is -12x and 14x
x² + 14x -12x -168 = 0
x (x + 14) - 12(x + 14)=0
(x+14)(x-12) = 0
we have 2 possible values for x
x + 14 = 0 x-12 = 0
x = -14 x = 12
from the 2 answers the correct answer is x = 12 as it should be a positive integer
one integer is 12 and consecutive even integer is 14
to check the product of the squared numbers
= 14² + 12²
= 196 + 144
= 340

Find the least common multiple of x² + x – 12 and x² + 2x – 15.

Answers

Solution:

we have been asked to find the Least Common multiple of the given polynomial x² + x – 12 and x² + 2x – 15.

To find the least common multiple. Lets first find the factors.

[tex] x^2+x-12=x^2+4x-3x-12\\
\\
x^2+x-12=x(x+4)-3(x+4)\\
\\
x^2+x-12=(x+4)(x-3)\\ [/tex]

[tex] x^2+2x-15=x^2+5x-3x-15\\
\\
x^2+2x-15=x(x+5)-3(x+5)\\
\\
x^2+2x-15=(x+5)(x-3)\\ [/tex]

Hence the LCM of the given set of Polynomials is (x+4)(x-3)(x+5).

The LCM is (x+4)*(x-3)*(x+5)

Jennifer is 30 years old. She has $1200 in a checking account, $8000 in a savings account, $6000 in stock investments, $12,000 in a retirement account, and owns a car worth $8000. What is the total value of her liquid assets?

A. $20,000
B. $15,200
C. $23,200
D $25,200

APEX

Answers

Answer:

B.15,200

Step-by-step explanation:

The point nearest to the origin on a line is at (4, -4). Find the standard form of the equation of the line.

Answers

The line through that point and the origin has a slope of -1. It is perpendicular to the line you want, so the line you want has slope +1. Its equation can be written as
.. y = (x -4) -4
or, in standard form
.. x - y = 8

I'll give you brainliest answer!! Help me. This diagram shows a smaller square inscribed within a larger square.
Answer with supporting work:

Answers

Each side of the smaller square is the hypotenuse of the triangles with legs of 3 and 4. From the Pythagorean Theorem, we can calculate the hypotenuse:
hypotenuse^2 = 3^2 + 4^2
hypotenuse^2 = 9 + 16
hypotenuse^2 = 25
hypotenuse = 5
Therefore, the area of the smaller square is 5 * 5 = 25

The answer would be 256 as the area because roughly the 4 closes in onto the smaller square which makes it 4 x 4 so what I would do is go first 4 x4 which equals 16 and then do it over 4 x 4 equals 16 once again so 16 x 16 equals 256 your welcome!!!!! :)

What exponential function is the best fit for the data in the table?

x f(x)
2 -3
3 0
4 12

A. f(x) = 4(4)^x - 1 + 4

B. f(x) =4(4)^ x - 1 - 4

C. f(x) = 1/4(4)^x -1 + 4

D. f(x) = 1/4(4)^ x - 1 - 4

Answers

Answer: The correct answer is choice D.

There are multiple ways to get to the right answer. You could plot the points on a graphing calculator. Then, graph each function to determine which equation matches the points.

You could also input the x values and see which equation produces the y values in the chart.

On thing to notice is the we have negative output values, there we need to pick either B or D, so the values go beneath the x-axis.

Answer:

option D.

Step-by-step explanation:

Data given in the table is

x 2 3 4

f(x) -3 0 12

Now we will plug in the values of x in the given functions to find the correct exponential function.

For x =2

A). f(x) = 4(4)[tex]^{(x-1)}[/tex] + 4

f(2) = 4(4)[tex]^{2-1}[/tex] + 4 = 4 × 4 + 4 = 20

B). f(x) = 4(4)[tex]^{(2-1)}[/tex] - 4

f(2) = 4(4)[tex]^{2-1}[/tex] - 4 = (4)(4) - 4 = 16 - 4 = 12

C). f(x) = 1/4(4)[tex]^{x-1}[/tex] +4

1/4(4)[tex]^{2-1}[/tex] + 4 = [tex]\frac{1}{4}[/tex] × 4 + 4

= 1 + 4 = 5

D). f(x) = [tex]\frac{1}{4}(4)^{x-1}-4[/tex]

f(2) = [tex]\frac{1}{4} (4)^{2-1}-4=\frac{1}{4}(4)-4[/tex]

= 1 - 4 = -3

We find option D in which f(2) = (-3). so the answer would be option D.

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If 82.3 l of an ideal gas is cooled from 46 degrees calius to -166 what will the volume of the gas become Factor completely. x212x+35 Enter your answer in the box. The transfer of energy from one living thing to another is called HELP WILL MARK BRAINLIESTUse the net to find the lateral area of the cylinderheight is 9inch and radius is 5inch if a 42.9ft tall flagpole casts a 253.1ft long shadow then how long is the shadow that a 6.2ft tall woman casts? Leo lives in a two-story home in an upscale neighborhood, drives a brand-new sports car, and makes more than $250,000 per year. It can be said that Leo has a high _________. A. budget B. cost of living C. stage of life D. standard of living Which part of the grain kernel contains vitamin e and healthy unsaturated fats? A(n) ________ cell has a nucleus and typical organelles. 1. Complete the following sentence.Juan es estudioso. Le gusta(1 point)cantar.leer.esquiar.bailar.2. Complete the following sentence.Marisol es una chica(1 point)simptica.simptico.simpticas.simpticos.3. What is the correct way to say "the serious boy" in Spanish? (1 point)la seria chicaelserio chicoel chico seriola chica seria4. What is the correct way to say "a talented girl" in Spanish? (1 point)la chica talentosauna chica talentosaun chico talentosoel chico talentoso An experienced roofer can roof a house in 26 hours. A beginning roofer needs 39 hours to complete the same job. Find how long it takes for the two to do the job together The product of two consecutive integers is 420. An equation is written in standard form to solve for the smaller integer by factoring. What is the constant of the quadratic function in this equation? What happened in hundreds of cities immediately after the assassination of martin luther king, jr.? Two numbers have a difference of 0.7 and a sum of 1 . What are the numbers ? What is the product of (-1/4) x (-3/7)? Write your answer in simplest fraction form Rewrite the following equation in slope-intercept form. 3x 18y = 20 Write your answer using integers, proper fractions, and improper fractions in simplest form. According to the lesson what is one reason why lee decided to invade the north If the height is 4.41 inches and the volume is 0.734, what will the side length of the pyramids base be? Is the number rational or irrational? Why? "explain why the orbital radius and the speed of a satellite in circular orbit are not independent" how did great Britain react to the rise of fascism before WW2 Which factor is not important when you evaluate the reliability of your sources?