Is the following number rational or irrational?
TV4
Choose 1 answer:
A
Rational
В
Irrational

Answer:

[tex]y = -4x + 5[/tex]

Step-by-step explanation:

We want to find the equation of the line that is perpendicular to:

[tex]\displaystyle y = \frac{1}{4} x - 5[/tex]

And which passes through the point (2, -3).

Recall that the slopes of perpendicular lines are negative reciprocals of each other.

In other words, since the slope of the original line is 1/4, the slope of the perpendicular line will be -4.

We are also given that it passes through the point (2, -3). Hence, we can consider using the point-slope form:

[tex]\displaystyle y - y_1 = m(x- x_1)[/tex]

Substitute:

[tex]\displaystyle y - (-3) = -4 (x - (2))[/tex]

Simplify:

[tex]y + 3 = -4(x - 2)[/tex][tex]y = -4x + 5[/tex]

Distribute:

[tex]y + 3 = -4x +8[/tex]

And subtract:

[tex]y = -4x + 5[/tex]

In conclusion, our equation is:

[tex]y = -4x + 5[/tex]

Answer:

8,000 - (-400)

Step-by-step explanation:

Answer: 8,000 - (-400) =

Step-by-step explanation:

Answer:

SEE THE IMAGE FOR SOLUTION .

HAVE A GREAT DAY

Answer:

11. D

12. C

13. D

14. B

15. E

Step-by-step explanation:

11.

1/3 + 1/2 = 2/6 + 3/6 = 5/6

A is 3/4

B is 2/3

C is 9/10

D is 4/5

E is 2/5

the closest to 5/6 is 4/5.

12.

this is totally easy. just simply additions and one subtraction (to see what is left).

8+10+9 = 27

so, he has

60 - 27 = 33 hours left

13.

the mean value of a series of equal weighted numbers is simply their sum divided by the amount of numbers.

so,

(2+5+3+6+4)/5 = 20/5 = 4

14.

a scale factor is always applied to all dimensions, otherwise the result will be distorted. and that would be especially bad for a map.

so, clearly the width of the larger map is 3 times the width of the smaller map. therefore, the length of the larger map has to be also 3 fine the length of the smaller map.

3×6 = 18

15.

3t - 10 = 8

3t = 18

t = 6

Answer:

r = -4

Step-by-step explanation:

4r + 13 = -15 -3r

7r = -28

r = -28/7

r = -4

Answer:

r = -4

Step-by-step explanation:

4r + 13 = -15 -3r

Add 3r to each side

4r + 13+3r = -15 -3r+3r

7r +13 = -15

Subtract 13 from each side

7r+13-13 = -15-13

7r = -28

Divide each side by 7

7r/7 = -28/7

r = -4

Answer:

a) 23 and b) 13

Step-by-step explanation:

I. If f(g(x)) is composit function

Find fog and gof

     fog = 3(g) - 1

           = 3(x+5) -1

           = 3x + 15 -1

           = 3x + 14

    gof = (f) + 5

          = (3x - 1) +5

          = 3x + 4

II. Fill in a) and b) question

            lim x -> 3 fog

           = 3(x) + 14

           = 3(3) + 14

          = 9 + 14

       a)  = 23

            lim x-> 3 gof

           = 3x + 4

           = 3(3) + 4

           = 9 + 4

        b)  = 13

Got more question or something to discuss, leave comment below

Answer:

[tex]2.21 \times {10}^{ - 10} [/tex]

Step-by-step explanation:

When we shift (.) from left to right in scientific notarion, the power of 10 varies in negative numbers according to how many numbers we shift.

Answer:

[tex](3x + 5)(2 {x}^{2} - 3x + 2) \\ \\ (3x)(2 {x}^{2} - 3x + 2) + (5)(2 {x}^{2} - 3x + 2) \\ \\ 6 {x}^{3} - 9 {x}^{2} + 6x + 10 {x}^{2} - 15x + 10 \\ \\ = 6 {x}^{3} + {x}^{2} - 9x + 10[/tex]

I hope I helped you^_^

Answer:

[tex]6x^3+x^2-9x+10[/tex]

Step-by-step explanation:

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

Distribute

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

Distribute

[tex]6x^3-9x^2+6x+5(2x^2-3x+2)[/tex]

Distribute again

[tex]6x^3-9x^2+6x+10x^2-15x+10[/tex]

Combine like terms

[tex]6x^3+1x^2+6x-15x+10[/tex]

Multiply by 1

[tex]6x^3+x^2+6x-15x+10[/tex]

Combine like terms

[tex]6x^3+x^2-9x+10[/tex]

the answer is 37%

: 16500*37%= 6150

6150+16500=22605 :correct

[tex]4 {p}^{3} q + 12 {p}^{2} {q}^{2} + 8p {q}^{3} \\ = 4pq(p + q)(p + 2q)[/tex]

I hope I helped you^_^

Answer:

And

Step-by-step explanation:

Noted Sir. Thanks A Lot 2 U

Answer:

$150

Step-by-step explanation:

CP = 100/(100 - L%) × SP

CP = 100/(100 - 20) × 120

CP = 100/80 × 120

CP = 5/4 × 120

CP = 5 × 30

CP = $150

Answer:

7

Step-by-step explanation:

The equation of direction variation is

y = kx where k is the constant of variation

y = 7x  so 7 is the constant of variation

Answer:

7

Step-by-step explanation:

The equation of direction variation:-  

y = kx where k is the constant of variation -> Eq 1  

y = 7x  -> Eq 2

Comparing Eq 1 and Eq 2,

k=7

Number lines are used to represent numbers on a line at regular intervals. The coordinate of point H is -2.2

From the number line, we have:

[tex]C = -4[/tex]

[tex]F = 5[/tex]

First, we calculate the distance between C and F using absolute functions

[tex]CF = |C - F|[/tex]

[tex]CF = |-4- 5|[/tex]

[tex]CF = |-9|[/tex]

Remove absolute bracket

[tex]CF = 9[/tex]

Point H is [tex]\frac 15[/tex] of the distance so, we have:

[tex]H = \frac 15 CF[/tex]

[tex]H = \frac 15 \times 9[/tex]

[tex]H = 1.8[/tex]

This means that point H is 1.8 from the right of C.

So, the coordinate of H is:

[tex]H = C + 1.8[/tex]

[tex]H = -4 + 1.8[/tex]

[tex]H = -2.2[/tex]

Hence, the coordinate of point H is -2.2

Read more about number lines at:

https://brainly.com/question/3677894

Answer:

C

Step-by-step explanation:

the square root of 64 is 8ft

Step-by-step explanation:

Use the distance formula:

(x2, y2) with (x1, y1)

[tex] d \: = \sqrt{( x2 \: - \: x1) {}^{2} \: + \: (y2 \: - \: y1) {}^{2} } [/tex]

Find the lengths of each segment one at a time.

For AC:

A(-3,8) C(0,2)

[tex]d = \sqrt{( - 3 - 0) {}^{2} + (8 - 2) {}^{2} } [/tex]

[tex]d \: = \sqrt{9 + 36} [/tex]

[tex]d \: = \sqrt{45} = 3 \sqrt{5} [/tex]

For BC:

B(6,5) C(0,2)

[tex]d \: = \sqrt{(6 - 0) ^{2} + (5 - 2) {}^{2} } [/tex]

[tex]d \: = \sqrt{36 + 9} [/tex]

[tex]d \: = \sqrt{45} = 3 \sqrt{5} [/tex]

For CD:

C(0,2) D(2,-4)

[tex]d \: = \sqrt{(0 - 2) {}^{2} + (2 - ( - 4)) {}^{2} } [/tex]

[tex]d \: = \sqrt{4 + 36} [/tex]

[tex]d \: = \sqrt{40} = 2 \sqrt{10} [/tex]

With all the segment lengths found, we can conclude that segments AC and BC have the same lengths.

Answer:

Looks like it's 1.

Step-by-step explanation:

Since it is a positive slope and it goes up 1 unit, the slope is 1.

Hey there! I'm happy to help!

We have $100.75 to spend.

Each spool costs $3, and we have 24 spools.

3×24=72

Each glue costs $1 and we have 7 packages of glue.

7×1=7

We add up these expenses.

72+7=79

And we subtract from our total amount.

100.75-79=21.75

So, Joanna has $21.75 left after buying these things.

Have a wonderful day and keep on learning! :D

Answer:

21.75

total money she has is 100.75

1 spool of ribbon $3

she buys 24 spools = 24X3

$72

1 glue cost $1

so 7 package glue cost =7X1= $7

money that he left is equals to 100.75- 79

=21.75

Answer:

sum 14, difference -8, product 33, quotient 3/11

Step-by-step explanation:

Sum: add

3 + 11 = 14

Difference: subtract

3 - 11 = -8

Product: multiply

3 * 11 = 33

and quotient: divide

3 / 11

(we can leave it like this as a fraction)

B. The cost of orange juice is $3 per jug

A unit rate, in terms of mathematics, is a rate per unit.

Examples of unit rates are:

The car travels 25 km per hour

The cost of bags of apples is $6.00 per bag of apples.

The unit rate in these choices is Choice B:

The cost of orange juice is $3 per jug

The other choices are rates, not unit rates.

Answer:

age of boy = 12

age of mother = 4 times age of boy = 4*12 = 48

let x = years time

3(12+x) = 48+x

36+3x = 48+x

3x-x = 48-36

2x = 12

x = 6

In 6 years time the mother will be three times as old as the son.

pleasexmark me as brainlist

Answer:

1.08 = m

Step-by-step explanation:

2= 2.27- m/4

Subtract 2.27 from each side

2-2.27= 2.27-2.27- m/4

-.27 = -m/4

Multiply each side by -4

-.27 * -4 = -m/4 *-4

1.08 = m

Answer: Well 100g is 100 grams so 100 grams?

Step-by-step explanation:

Answer:

[tex]1)x = 8 \\ x + y + 2 = 8 + y + 2 = 10 + y \\ 2)x = 9 \\ x + y + 2 = 9 + y + 8 = 17 + y \\ 3)y = 3 \\ x + y + 2 = x + 3 + 2 = x + 5 \\ 4) y = 0 \\ x + y + 2 = x + 0 + 2 = x + 2 \\ 5)x = 6 \: y = 2 \\ x + y + 2 = 6 + 2 + 2 + = 10 \\ thank \: you[/tex]

Answer:

-7j + 3

Step-by-step explanation:

Combine like terms:

-5j + (-2j) = -7j

-7j + 3

Answer and Step-by-step explanation:

Simply combine the values together.

-5j - 2j + 3

-7j + 3 is the answer.

#teamtrees #PAW (Plant And Water)

I hope this helps!

 and seven is equal to six times a number.

Word problems can be tricky no matter what level of math or science you are in.

First look at the question for words that indicate mathematical symbols.

"times" indicates multiplication

"and" indicates addition

"a number" means we have a variable, x, to solve for

Now we can go from left to right and write it in a mathematical equation

7x + 7 = 6x

Then, solve for x

7x + 7 = 6x

7 = 6x - 7x

7 = -1x

7/-1 = x

x = -7

Finally, we check our work.

7x + 7 = 6x

7(-7) + 7 = 6(-7)

-49 + 7 = -42

-42 = -42 √

The answer is x = -7

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Parviz F. answered • 02/11/14

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Mathematics professor at Community Colleges

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 First thing you do in word problems : choose a variable for unknown, what problem is asked you to find.

       n    the number

       7n     7 times the number

        7n + 7       7 times the number and 7

      Then the problem says it is equal  6n , make the equation

       7n + 7 = 6n

       and solve:

        7n - 6n = -7

         n = -7  / is the answer

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KERITHA C. answered • 02/25/18

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If 1 is added to seven times a number, the result is equal to 2 more than six times the number. Find the number.

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Rodney S. answered • 02/16/14

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Certified Math Teacher (Grades 6 and Up) for Hire

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Seven times a number and seven is equal to six times a number.

Step 1:  Translate the verbal to Algebra.

7x + 7 = 6x.  ("And" means addition if no other operation is present.)

Step 2:  Solve for x.

7x - 6x + 7 = 6x - 6x.      (subtract 6x from both sides)

1x + 7 = 0.             (Simplify)

1x + 7 - 7 = 0 - 7.      (subtract 7 from both sides)

1x = -7.             (Simplify)

1x/1 = -7/1.        (Divide both sides by 1)

x = -7.              (Simplify)

Step 3:  Check 7 times the number -7 and 7 is equal to six times the number -7.

7(-7) + 7 = 6(-7)

-49 + 7 = -42

-42 = -42.   (Both sides are equal!)

The number again is -7.

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Vivian L. answered • 02/10/14

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Hi Alyson;

7x+7=6x

Let's subtract 7x from both sides...

7x+7-7x=6x-7x

7=-x

Let's multiply both sides by -1...

(-1)(7)=(-1)(-x)

-7=x

Let's check our work...

7x+7=6x

[(7)(-7)]+7=(6)(-7)

-49+7=-42

-42=-42

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12-7*6+19-14=11

Answer:

y = 39

Step-by-step explanation:

550 x [tex]\pi[/tex] = [tex]\pi[/tex] [tex]r^{2}[/tex] x 11 + y

550 x [tex]\frac{7}{22}[/tex] = [tex]\frac{7}{22}[/tex] x 11 x 11 + y

550 x [tex]\frac{7}{22}[/tex] x [tex]\frac{22}{7}[/tex] = 11 x 11 + y

550 = 11 x 11 + y

[tex]\frac{550}{11}[/tex] = [tex]\frac{11}{11}[/tex] x 11 + y

50 = 11 + y

50 - 11 = y

39 = y

Answer:

Step-by-step explanation:

[tex]\dfrac{3}{6}=\dfrac{9}{18}=\dfrac{27}{54}[/tex]

[tex]\dfrac{3*3}{6*3}=\dfrac{9}{18}\\\\\\\dfrac{3*9}{6*9}=\dfrac{27}{54}[/tex]