Alg1 S1-3 USA OL FY21
Question: 1-15
Ifp and q are non-zero rational numbers, and s and t are irrational numbers, select all of the statements that are always false.
The product pq is irrational.
The product pt is irrational.
The quotient
is irrational
0 The product st is irrational.
The quotient is rational.
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Alg1 S1-3 USA OL FY21Question: 1-15Ifp And Q Are Non-zero Rational Numbers, And S And T Are Irrational

Answers

Answer 1

Answer:

The product st is irrational.

The product pt is irrational.

Step-by-step explanation:

Let p = 3/4 and q= 5/9

Now multiplying these two non zero rational numbers

3/4 (5/9)= 15/36 ( this is also a rational number)

An irrational number is one which cannot be expressed in the form of p/q where p and q are integers( in the form of a simple expression) like the rational number.

Now let the two irrational numbers  s and t be √3 and √5

Now multiplying the two irrational numbers we get

st = √3  √5

st =√15  ( this is also an irrational number)

√15 cannot be expressed in the form of a simple fraction.

Now multiplying pt

3/4 * √5= 3√5/4  ( this is also irrational)


Related Questions

Compare -25 and 25 help meeee

Answers

Answer:

-25 is less than 25

-25<25

Step-by-step explanation:

any negnegative number will always be less than a whole number.

please tell me if i answered this wronf or if you need more help!! :)

Evaluate x ÷ y for x = 3 and y = 12.

Answers

Answer:

1/4 or 0.25

Step-by-step explanation:

Lets plug x and y into the equation. We now have 3/12, which would be equal to 1/4 or 0.25

x = -7y; 2x - 8y = 22​

Answers

Answer:

(7; -1)

Step-by-step explanation:

Hi there!

Here is a solution:

If x=-7y then -14y-8y=22 => y=-1 and x=7

Hope this helps)

Have a nice day!

find the equation of the line that passes through a and b

Answers

Answer:
y = 2x - 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = A(4, 7) and (x₂, y₂ ) = B(2, 3)
m = = = 2, thus
y = 2x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation.
Using B(2, 3), then
3 = 4 + c ⇒ c = 3 - 4 = - 1
y = 2x - 1 ← equation of line

1 The formula for the area of a triangle is
A = 1/2 bh

where b is the base of the triangle and h is the height of the triangle.

What is the length of the base if the area is 22 cm2 and the height 2 is 8 cm?​

Answers

Answer:

The formula of area of triangle= ½ base×height

Answer:

5.5cm

Step-by-step explanation:

22= (1/2)(8)(b)

22=(4)(b)

22/4= 5.5

b=5.5

Pls someone help hurry

Answers

Answer:

First base goes with first height, second base with third height and third base with second height

Step-by-step explanation:

what would an equation be for 6 bags of flyers each bag containing 12 flyers

Answers

Answer:

6x12

Step-by-step explanation:

Answer:

6 multiplied by 12

Step-by-step explanation:

you have 6 bags, each bag contains 12 flyers

The lines AB and CD are perpendicular to each other. If the slope of line AB is 2/3 then what is the slope of line CD​

Answers

Answer:

-3/2

Step-by-step explanation:

you can find the perpendicular slope by putting the slope in 1/-m. M is the current slope you have or really you can flip it and change the signs so for example, 1/-(2/3) = -3/2

The slope of line CD​ is = -3/2

What are Perpendicular lines?

A perpendicular is a straight line that makes an angle of 90° with another line.

Given that the lines AB and CD are perpendicular to each other, the slope of line AB is 2/3.

Slope of perpendicular lines are negative reciprocal of each other, so,

Hence, The slope of line CD​ is = -3/2

For more references on Perpendicular lines, click;

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which equation represents a line that passes through 4 6) and is parallel to the line whose equation is 3x - 4y= 6
TIMED TEST WILL GIVE BRAINLIEST

Answers

Parallel means their slopes should equal to each other.

Thus we need to find the slope of the given line ,

Let's do it.....

[tex]3x - 4y = 6[/tex]

Subtract sides -3x

[tex] - 3x + 3x - 4y = - 3x + 6[/tex]

[tex] - 4y = - 3x + 6[/tex]

Divided sides by -4

[tex] \frac{ - 4}{ - 4}y = \frac{ - 3}{ - 4}x + \frac{6}{ - 4} \\ [/tex]

[tex]y = \frac{3}{4}x - \frac{3}{2} \\ [/tex]

This is the slope-intercept of the line.

We know that the coefficient of the x in slope-intercept form , is the slope of the line.

Thus the slope of the equation which we want is :

[tex]slope = \frac{3}{4} \\ [/tex]

_________________________________

We have following equation to find the point-slope form of the linear functions.

[tex]y - y(given \: point) = slope \times (x - x(g \: p) \: ) \\ [/tex]

Now just need to put the slope and the given point in the above equation.

[tex]y - 6 = \frac{3}{4} \times (x - 4) \\ [/tex]

Multiply sides by 4

[tex]4(y - 6) = 3(x - 4)[/tex]

[tex]4y - 24 = 3x - 12[/tex]

Plus sides 24

[tex]4y - 24 + 24 = 3x - 12 + 24[/tex]

[tex]4y = 3x + 12[/tex]

Subtract sides -3x

[tex]4y - 3x = 3x - 3x + 12[/tex]

[tex]4y - 3x = 12[/tex]

And we're done....♥️♥️♥️♥️♥️

If l is parallel to m, find the value of each missing variable

Answers

Answer:

x = 18

y = 5

Step-by-step explanation:

From the figure attached,

'l' and 'm' are the parallel lines and two transversal lines are intersecting these  parallel lines at points A, B and C.

Since, m∠ABC + (7x - 23)° = 180° [Supplementary angles]

m∠ABC = 180° - (7x - 23)°

m∠BCA = (11y - 1)° [Vertical angles]

m∠BAC = 49°

In ΔABC,

m∠ABC + m∠BAC + m∠CAB = 180°

180° - (7x - 23)° + 49° + (11y - 1) = 180°

-7x + 11y = -71

7x - 11y = 71 ------(1)

Since, sum of consecutive angles is 180°

Therefore, m(∠ABC) + (3x + 49)° = 180°

180° - (7x - 23)° + (3x + 49)° = 180°

-4x = -72

x = 18

From equation (1),

7(18) - 11y = 71

11y = 55

y = 5

Lines l and m are intersected by transversal t. l ∥ m.
If m∠4 = 105, what is m∠5?

Answers

Answer:

m<5 is 105

Step-by-step explanation:

<5 and <4 are alternate interior angles meaning they are congruent to each other.

4. x+ 4 + 7 = 3
How do I solve the absolute value ?

Answers

Answer:

-2

Step-by-step explanation:

4x +4 +7 =3

or, 4x = 3 - 11

or, x = (-8) / 4

since,

X = -2

x+ 4 + 7 = 3
x+11=3
x=3-11
x=-8

Plz help me fast will give brain list

Answers

17,400 - 3000 = 14,400

Let x be the number of months.

300x = 14,400

Divide by 300.

x = 48

12 months = 1 year

4 years is the answer.

Answer:

4 years

Step-by-step explanation:

Equation: 300x + 3000 = 17400

Subtract 3000 from both sides;

300x = 14400

Divide both sides by 300;

x = 48 months

48 months = 4 years

A restaurant serves sandwiches and salads. They sold 14 sandwiches and 14 salads for a total of $280 for lunch. In the evening, 42 sandwiches and 154 salads were sold for a total of $1400. How much does each sandwich cost?

Answers

Answer:

33.3

Step-by-step explanation:

1400 divided by 42

Answer:

$33.30

Step-by-step explanation:

1400 divided by 43 = 33.3

can you help me please

Answers

Answer: i think it would be 5

[tex]\sqrt{x} \left \{ {{y=2} \atop {x=2}} \right. \lim_{n \to \infty} a_n \int\limits^a_b {x} \, dx \\[/tex]

Last week, the value of an investment changed at a rate of –$0.80 each hour.

After how many hours was the total change in value –$3.60?

Answers

Answer:

4 hours

Step-by-step explanation:

3.6 / .8

Of the 50 students in the cafeteria, 7 have red hair. Suppose there are 750 students in the school. Write a proportion that could be used to predict the number of students who have red hair. Use x to represent the number of students who have red hair.

Answers

Given:

Of the 50 students in the cafeteria, 7 have red hair.

Total number of students = 750

To find:

The proportion that could be used to predict the number of students who have red hair.

Solution:

Let x represent the number of students who have red hair.

The ratio of student having red hair to the total number of students are

[tex]Ratio_1=\dfrac{7}{50}[/tex]

[tex]Ratio_2=\dfrac{x}{750}[/tex]

The number of students having red hair is proportional to the total number of students. So, the above ratios are equal.

[tex]\dfrac{x}{750}=\dfrac{7}{50}[/tex]

Multiply both sides by 750.

[tex]\dfrac{x}{750}\times 750=\dfrac{7}{50}\times 750[/tex]

[tex]x=7\times 15[/tex]

[tex]x=105[/tex]

Therefore, the required equation is [tex]\dfrac{x}{750}=\dfrac{7}{50}[/tex] and the number of students who have red hair is 105.

At school 2 out of every 5 students in the sixth grade are members of the band which ratio represents the number of 6th graders that are not members of the band

Answers

Answer:3:5

Step-by-step explanation:

Answer:

3/5

Step-by-step explanation:

had that answer

Why do you think the military police (MPs) confronted the men at the reservoir shack? Do you think the MPs did the right thing? Do you think Kaz and his men did the right thing? Explain.
Farewell To Manzanar, Chapter 6-11. IF U GET IT RIGHT U GET BRAINLIEST, 5 STARS AND THANKS

Answers

Answer:

ywes

Step-by-step explanation:

need help answer quick ​

Answers

Answer:

number 10

k= 36

number 11

k=33

Jorge is making 6 large salads and 4 small salads how manny cherry tomatoes does he need

Answers

Answer:

Illogical

Step-by-step explanation:

Your question is completely illgocal unless you state the number of cheery tomatoes used in 1 or x amounts of large and small salads

Answer:

84

Step-by-step explanation:

We know that Jorge is making 6 large salads and 4 small salads. Each large salad needs 10 cherry tomatoes and each small salad needs 6 cherry tomatoes. 6 large salads need 10 cherry tomatoes.

Harper and her children went into a bakery and will buy cupcakes and brownies.
Each cupcake costs $4.25 and each brownie costs $2.75. Harper has a total of $40 to
spend on cupcakes and brownies. Write an inequality that would represent the
possible values for the number of cupcakes purchased, c, and the number of brownies
purchased, b.

Answers

4.25c+2.75b=40 would be the correct answer because you’re trying to find how many they can get of each with only 40 dollars

Answer:

4.25c+2.75b_<40

Step-by-step explanation:

If the place these marbles in a bag close your eyes and choose a marble what is the probability that it will be pink?

Answers

Answer:

3/14

Step-by-step explanation:

There are 14 marbles, 5 are yellow, 6 are blue, and 3 are pink. You have a 5/14 chance to get a yellow marble, a 6/14 chance to get a blue marble, and a 3/14 chance to get a pink marble.

I hope that this helps :)

Answer:

3/7

Step-by-step explanation:

the answer is

Can someone help me please

Answers

Answer:

The answer is A.

Step-by-step explanation:

2x2x2= 8 but one of them fell off.

How many solutions does the following equation have? -7x + 3 = 2x + 2 - 9x *
1 point
No solution
One solution x = 5
Infinite solutions
One solution x = 7

Answers

Answer:

no solutions because you would get an outcome of a not real world problem


1. The length of a rectangular parking lot is 8m longer than its width. The area of
the parking lot is 560m2. What is the length of the parking lot? How about its
width?​

Answers

Answer:

Length = 20

Breadth = 12

Step-by-step explanation:

help meh pleaseeeeeeeeeee

Answers

Answer:

-2/1

Step-by-step explanation:

-2/1 starting point -1

Line m passes through (5,-3) and is parallel to a line that passes through (1,-4) and (9,-2).

Answers

A picture might help not enough explaining

The required equation of the line is given as y =1/4x -17/4.

What is the slope of the line?

The slope of the line is a tangent angle made by line with horizontal. i.e. m = tanx where x in degrees.


The slope of the line is given as,
m = (y₂ - y₁) /  (x₂ - x₁)
Substitute the value in the above equation,
m = -2 + 4 / 9 - 1

m = 2 / 8
m = 1/4
Since the slope of the parallel lines is equal,
The equation of the parallel is given as,
y - y₁ = m (x - x₁)

Substitute the point in the equation,
y + 3 = 1/4(x - 5)
y = 1/4x - 5/4 -3
y =1/4x -17/4

Thus, the required equation of the line is given as y =1/4x -17/4.

Learn more about slopes here:
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Pls help me. I need help

Answers

Answer:

x= horizontal y=vertical

a 4.5 pound of apples costs $22.50. how many pounds for a dollar?

Answers

Answer:

.2 lbs

Step-by-step explanation:

4.5/22.5

0.2 pounds as 4.5 / 22.5 = 0.2

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