Are the following statements equivalent?
b<0 and “the numbers a and b are of a different sign.”

Answers

Answer 1

Answer:

Yes different signs leads to a negative product.

Step-by-step explanation:

So I don't know if this was helpful, but I hope you find it very helpful!


Related Questions

Use the graphing method to solve the system of linear equations:

y = -x + 3 and y = x - 1
A) (-1,2)
B) (0,3)
C) (1,0)
D) (2,1)

(AWNSWER GETS 80 POINTS)

Answers

Answer:

the asnwer will be 2,1

Step-by-step explanation:

The solution of the equations is (2,1)

What is graphing method?

Finding the point of intersection of equations by plotting on the graph paper is called solving by graphing method.

How to solve the given equations?

In the attached graph below,

The red line represents the equation y = -x + 3  The blue line represents the equation y = x - 1The point of intersection is clearly visible which is (2,1). This is the solution of the equations.

The solution of the equations is (2,1)

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A right triangle has legs measuring 18 inches and 26 inches. What is the length of the hypotenuse

Answers

31.6 because a^2+b^3=c^2

75% of b is 12?????????​

Answers

Answer:

b=16

Step-by-step explanation:

12*100=1200

1200/75

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

16

Check

16*0.75=12

7..........:.........

Answers

Answer:

option B

4 a^4 /b

Step-by-step explanation:

Given in the question an expression

√(16 a^8 b^-2)

This expression can also be written as

√16 . √a^8 . √b^-2

Now as we know that

√16  = √4² = 4

√a^8 = √(a². a² . a² . a²)  =  √a².√ a².√ a².√ a²  =  a . a . a . a  =  a^4

√b^-2 = √1/b² = √1 ÷ √b² = 1 ÷ b = 1/b

Rearranging them

4 a^4 1/b = 4 a^4/b

Simplified form of √(16 a^8 b^-2) is  4 a^4/b

The simplified form of √(16 a^8 b^-2) is indeed 4a^4/b, which is equivalent to the original expression. therefore, option b. 4a^4/b is correct.

The given expression, √(16 a^8 b^-2), can be simplified as follows:

√(16 a^8 b^-2) = √16 * √(a^8) * √(b^-2)

Breaking it down:

√16 = √(4^2) = 4

√(a^8) = √(a^4 * a^4) = √(a^4) * √(a^4) = a^4 * a^4 = a^8

√(b^-2) = √(1/b^2) = 1/b

Now, rearranging these results:

4 * a^8 * (1/b) = 4a^8/b

So, the simplified form of √(16 a^8 b^-2) is indeed 4a^4/b, which is equivalent to the original expression. This simplified form retains the same meaning as the original expression.

for such more question on simplified form

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Which relationship describes angles 1 and 2?



complementary angles
adjacent angles
vertical angles
linear pair

Two parallel horizontal lines intersected by a vertical line with a square indicating a right angle in quadrant one of the top line and a one labeling the angle in quadrant two and two labeling quadrant four of the top line

Answers

Answer:

Step-by-step explanation:

1 and 2 are vertical angles

HELP AND PLZZZ EXPLAIN!



18 + 3 |6 - 25| - 11


WHAT WOULD BE THE AMSWER?

Answers

Simplify 6 - 25 to -19

18 + 3| -19 | - 11

Simplify | -19 | to 19

18 + 3 × 19 - 11

Simplify 3 × 19 to 57

18 + 57 - 11

Simplify

= 64

Which equation best models the relationship between x and y

Answers

Answer:

y = x + x or y+mx+b

Step-by-step explanation:

The first shows the relation in many different problems. But the second is used more for graphs of proportional value. You can use both in either case. But the y=x+x you would substitute the x with real numbers according to the problem.

Please help, I need these done today TT


1) Hilda is putting new tile in an area of her home. Part of the space is rectangular with a length of 10 feet and a width of 6 feet, and part of the space is triangular with a base of 4 feet and a height of 2 feet.

How many square feet of tile will Hilda need to cover the space?

2) Francine bought a TV that is 31 inches tall and 57 inches wide. She is going to mount it on the wall in her living room. The wall is 8 feet wide and 9 feet tall.

How many square inches of the wall will not be covered by the TV once it is mounted?

Answers

Answer:

Hilda needs 64 ft² of tile

8601 in² will be uncovered post mounting

Step-by-step explanation:

Ar=10•6=60 ft²

At=[4•2]/2=8/2=4 ft²

total area=Ar+At=60+4=64ft²

......

Atv=31•57=1767 in²

Aw=(12•8)•(9•12)=10368 in²

Au=Aw-Atv=10368-1767=8601 in²

Hilda will need 64 square feet of tile to cover the space. Francine will have 8601 square inches of the wall not covered by the TV once it is mounted.

To determine how many square feet of tile Hilda will need, let's calculate the area of both the rectangular and triangular parts separately and then sum them up. The area of the rectangle can be found by multiplying the length and the width, so we have:
10 feet * 6 feet = 60 square feet.
Next, we calculate the triangular area using the formula for the area of a triangle (A = base * height / 2), giving us:
4 feet * 2 feet / 2 = 4 square feet.
Adding both areas gives us a total of:
60 square feet + 4 square feet = 64 square feet needed for tiling.

For Francine's TV and the uncovered wall area, we first convert the wall measurements to inches (1 foot = 12 inches):
8 feet = 96 inches wide
9 feet = 108 inches tall
Then we calculate the area of the wall and subtract the TV's area:
Wall area: 96 inches * 108 inches = 10368 square inches
TV area: 31 inches * 57 inches = 1767 square inches
Uncovered wall area:
10368 square inches - 1767 square inches = 8601 square inches.

Is 2.924017738 a rational number

Answers

So Not A rational Number

I think :)

Good Luck:)))

Plz help me!!!!!!!!!

Answers

[tex]\sqrt[3]{x^2y^2} = (x^2y^2)^{\frac 1 3} = x^{\frac 2 3}y ^{\frac 2 3}[/tex]

Answer:  [tex]\bold{x^{\frac{2}{3}}y^{\frac{2}{3}}}[/tex]

Step-by-step explanation:

[tex]\sqrt[3]{x^2y^2}=\sqrt[3]{(xy)^2}=(xy)^{\frac{2}{3}}=x^{\frac{2}{3}}y^{\frac{2}{3}}[/tex]

How Would I Find The Answer ?

Answers

Answer:   B. 34°

Step-by-step explanation:

∠RQS + ∠SQT = ∠RQT

[tex]\bigg(\dfrac{1}{2}x+4\bigg)+\bigg(\dfrac{3}{4}x-6\bigg)=2x-47\\\\\\.\qquad\qquad\qquad\dfrac{5}{4}x-2=2x-47\\\\\\.\qquad\qquad\qquad\quad -2=\dfrac{3}{4}x-47\\\\\\.\qquad\qquad\qquad\qquad 45=\dfrac{3}{4}x\\\\\\.\qquad\qquad\qquad\qquad 180=3x\\\\\\.\qquad\qquad\qquad\qquad 60=x[/tex]

[tex]\angle RQS=\dfrac{1}{2}x+4\\\\.\qquad=\dfrac{1}{2}(60)+4\\\\.\qquad=30+4\\\\.\qquad=34[/tex]

Examine the linear equation. 8x – y = –6 Choose the slope-intercept form of the equivalent equation:

Answers

Step-by-step explanation:

The slope-intercept form can be obtained by solving for y.

8x-y=-6

-8x

-y=-8x-6

divide by negative 1 to turn y positive.

y=8x+6

Answer:

y=8x+6

Step-by-step explanation:

just took the prac. on edge

Find the midpoint between −18 and 52.

Answers

Finding the midpoint between two points on a line involves three steps:

1. Find the distance between the two points
2. Find half of that distance
3. Either add that half to the lowest point, or subtract it from the highest point.

To find the distance between 52 and -18, we can take the absolute value of their difference. The reason we take the absolute value is to force the sign to be positive, since distances can never be negative. -18 - 52 = -70, and |-70| = 70.

Second, we find half of that distance, which in this case would be 70/2 = 35.

Finally, we add that value to -18 to find a midpoint of -18 + 35 = 17.

if a clothing sale marks items 85% off, what is the numerator of the fraction which represents this discount (assume the denominator is 100)?

Answers

Answer:

85/100

Step-by-step explanation:

what is the name of line segment an on the circle below ​

Answers

Answer:

C

Step-by-step explanation:

Let's break down the definitions.

diameter = a line across the circle that crosses the center

radius = a line from the center of the circle to any edge

chord = a line with both endpoints on the edge of the circle

arc = the outside part of the circle

Since this line has both endpoints on the edge of the circle and does not cross the center, the line is a chord.

Put in 39.6 <,> or = 39.61

Answers

Answer: 39.6<39.61

Step-by-step explanation: 39.6 is equal to 39.60 and 60 is greater than 1.

Answer:

39.6 is less than 39.61

Step-by-step explanation:

A pitcher of lemonade was 7/8 full. Since then, they have sold 1/2 of a pitcher of lemonade. What fraction of a pitcher do they have left?

Answers

Answer:

3/8

Step-by-step explanation:

another way of writing 1/2 is 4/8, so now it should be easy.  if you have 7/8 and sell 4/8 that leaves 3/8

Answer: 3/8

Step-by-step explanation:

rewrite 3 x 6/8 as the product of a unit fraction and a whole number

Answers

3×6/8 reduce is 3× 3/4= 3/1×3/4=9/4 or 2 1/4

Final answer:

To rewrite 3 x 6/8 as the product of a unit fraction and a whole number, simplify 6/8 to 3/4, and then express 3/4 in terms of the unit fraction 1/4 multiplied by 9, resulting in the expression 9 x 1/4.

Explanation:

To rewrite 3 x 6/8 as the product of a unit fraction and a whole number, we first look at the fraction 6/8. The fraction can be simplified by dividing both the numerator and the denominator by the common factor which is 2. This gives us the simplified fraction of 3/4. Now, a unit fraction is a fraction where the numerator is 1. To turn 3/4 into a unit fraction, we can multiply it by the whole number 3, because 3 x 3/4 equals 9/4. However, 9/4 is not a unit fraction. Therefore, to represent this expression as a product of a unit fraction and a whole number, we see that each 3/4 in the total of 3 times 3/4 can be expressed as 1 times the whole number 3, making the unit fraction 1/4. The correct expression would then be 9 x 1/4.

Use formula p=2l+2w find the perimeter of a rectangle with a length 8.3 ft and width of 15.8 ft

Answers

Answer:

p = 48.2

Step-by-step explanation:

p = 2L + 2w

p = 2(8.3) + 2(15.8)

p = 16.6 + 31.6

p = 48.2

Answer:

P = 48.2 ft

Step-by-step explanation:

P =2l+2w

Given: l  = 8.3 ft and w = 15.8 ft

Plug in

P =2(8.3) + 2(15.8)

P = 16.6 + 31.6

P = 48.2 ft


Write y = x + 7 in standard form using integers.


3x – 2y = 21


–2x – 3y = 21


–2x + 3y = 7


–2x + 3y = 21

Answers

Answer:

[tex]-2x+3y=21[/tex]

Step-by-step explanation:

The equation was given to us in slope-intercept form.

Thus;

[tex]y=\frac{2}{3}x+7[/tex]

We multiply each term by 3 to obtain;

[tex]3y=2x+21[/tex]

We add [tex]-2x[/tex] to both sides to obtain;

[tex]-2x+3y=21[/tex]

This equation is in the form;

[tex]ax+by=c[/tex] (standard form).

The correct choice is D.

Answer:

-2x+3y = 21

Step-by-step explanation:

We have given a equation in slope-intercept form .

y = 2/3x+7

We have to rewrite above equation in standard form.

The standard form of equation is :

Ax+By = C

Multiplying by 3 to both sides of above equation, we have

3y = 3(2/3x+7)

3y = 2x+21

Adding -2x to both sides of above equation, we have

-2x+3y = -2x+2x+21

-2x+3y = 21 which is standard form of given equation.

The revenue from selling xshirts is r(x) 15x The cost of buying x shirts is c(x) 7x + 20. The profit from selling xshirts is px) x) (x) What is p(x)?

Answers

Final answer:

The profit function p(x) for selling x shirts is p(x) = 8x - 20, which is found by subtracting the cost function c(x) from the revenue function r(x).

Explanation:

Profit Function

To find the profit function p(x), we subtract the cost function c(x) from the revenue function r(x). Given that r(x) = 15x and c(x) = 7x + 20, the profit function is calculated as follows:

p(x) = r(x) - c(x)

p(x) = 15x - (7x + 20)

Simplifying the equation, we combine like terms:

p(x) = 15x - 7x - 20

p(x) = 8x - 20

Thus, the profit from selling x shirts is p(x) = 8x - 20.

Please help me with this and thank you

Answers

6/(1/3)= 18

6(3)=18

the answer would be c

Answer:

option C

18 Flowerpots

Step-by-step explanation:

6 ÷ 1/3

6 × 3/1 = 18/1 = 18

add 5 to me. Then divide by 7. If you add 12 and then subtract 7, you get 10. What number am I?

Answers

30 is the answer :))))

Do it backwards to easily solve the problem.
10+7=17
17-12=5
5*7=35
35-5=30
He answer is 30
Hope this helps!

What is 7/5 times 7/8?

Answers

Answer:

7/5 time 7/8 is exactly: 2 11/40

Step-by-step explanation:

Hello.

First we need to multiply across.

7 x 7 is 49 so that's our top number.

49

----   5 x 8 is 40 so that would be our bottom number.

?

You would write it  [tex]\fbox{49/40}[/tex].

As a mixed number it would be [tex]\fbox{1 9/40}[/tex] Note that it is not 19 if you read it wrong.

may somebody help me please

Answers

Here how I did it and the answer is -6

4400 dollars is placed in an account with an annual interest rate of 8.25%.how much will be in the account after 22 years, to the nearest cent?

Answers

Final answer:

To find out how much will be in the account after 22 years with an annual interest rate of 8.25%, the compound interest formula [tex]A = P(1 + r/n)^{nt}[/tex] is used, resulting in approximately $21739.63.

Explanation:

To calculate how much money will be in the account after 22 years with an annual interest rate of 8.25%, we will use the compound interest formula:

[tex]A = P(1 + r/n)^{nt}[/tex]

Where:

A is the amount of money accumulated after n years, including interest.

P is the principal amount (the initial amount of money).

r is the annual interest rate (decimal).

n is the number of times that interest is compounded per year.

t is the time the money is invested for, in years.

In this case:

P = $4400

r = 8.25% or 0.0825

n = 1 (since it's compounded annually)

t = 22 years

We plug these values into the compound interest formula:

[tex]A = 4400(1 + 0.0825/1)^{1*22}[/tex]

After calculating:

[tex]A = 4400(1 + 0.0825)^{22}[/tex]

[tex]A = 4400(1.0825)^{22}[/tex]

A comes out to approximately $21739.63, which is the total amount in the account to the nearest cent after 22 years.

X^2 +x -4=O solve using the Quadratic formula. First what are the valubes of a,b,c?

Answers

A=1 B=1 C=-4 , you look at the numbers in order ! X is always going to be a 1.

Can someone please help.

Answers

The answer is b: 15 m, 20m, 25m

Plz help me!!!!!!!!!!

Answers

Answer:   [tex]b)\quad \dfrac{4x^6z^4}{9y^4}[/tex]

Step-by-step explanation:

[tex].\quad \dfrac{16x^{4}y^{-3}z^{4}}{36x^{-2}y^{1}z^0}\\\\\\=\dfrac{4(4)\cdot x^{4+2}\cdot y^{-3+3}\cdot z^{4}}{4(9)\cdot x^{-2+2}\cdot y^{1+3}\cdot 1}\\\\\\=\dfrac{4x^6z^4}{9y^4}[/tex]

Which diagram shows the percent equivalent to 3/5

Answers

Answer:

The correct one would be A

Step-by-step explanation:

Because 6/10 is equivalent to 3/5

The answer is the first one, or A.

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