factor the expression 14x - 21 using the GCF

Answer:

2nd option

Step-by-step explanation:

[tex]\frac{\sqrt{2} }{3}[/tex] r + 1 = 23 ( subtract 1 from both sides )

[tex]\frac{\sqrt{2} }{3}[/tex] r = 22 ( multiply both sides by 3 to clear the fraction )

[tex]\sqrt{2}[/tex] r = 66 ( divide both sides by [tex]\sqrt{2}[/tex] )

r = [tex]\frac{66}{\sqrt{2} }[/tex] × [tex]\frac{\sqrt{2} }{\sqrt{2} }[/tex] ( rationalising the denominator )

r = [tex]\frac{66\sqrt{2} }{2}[/tex] = 33[tex]\sqrt{2}[/tex]

Answer:

B) r=33*sqrt(2)

Step-by-step explanation:

sqrt(2)/3r+1=23

sqrt(2)/3r=23-1

sqrt(2)/3r=22

sqrt(2)r=22*3

sqrt(2)r=66

r=66/sqrt(2)

r=66*sqrt(2)/(sqrt(2)*sqrt(2))

r=(66*sqrt(2)/2

r=33*sqrt(2)

Answer:

answer = 1/8

Step-by-step explanation:

answer = 1/8

answer for (a) attached.

Answer:

Step-by-step explanation:

Let Maggie's age = x

The brother's age = 3x - 5

x + 3x - 5 = 43

4x - 5 = 43              Add 5 to both sides

4x - 5 + 5 = 43+5

4x = 48                  Divide by 4

4x/4 = 48/4

x = 12

Maggie = 12

Brother = 3*12 - 5

Brother = 36 - 5

Brother = 31

Answer:

52 hours and 25 min

Step-by-step explanation:

2 1/2+45+4.75= 52.25

Answer:

9.43

Step-by-step explanation:

You simply use the first couple digits of the solution your calculator gave you. (How many depends on the question you were asked)

Answer:

  9 23/53

Step-by-step explanation:

The fraction is not particularly nice. It can be written as ...

  9/0.954 = 9000/954 = 500/53 = 9 23/53

As a decimal, the fraction has a 13-digit repeat:

  [tex]9.\overline{4339622641509}[/tex]

Answer:

The larger number is [tex]1100[/tex]

Step-by-step explanation:

Let larger number be [tex]x[/tex]

We have

[tex]\frac{x}{700} =\frac{11}{7} \\\\x=100\times11\\\\=1100[/tex]

Answer:

The larger number is 1100.

Step-by-step explanation:

Solution :

Let the,

Now, According to the question :

[tex]\begin{gathered} \dashrightarrow\sf{Smaller \: number} = \tt{700} \end{gathered}[/tex]

[tex]\begin{gathered} \dashrightarrow\sf{7x}= \tt{700} \end{gathered}[/tex]

[tex]\begin{gathered} \dashrightarrow\sf{x}= \tt{700 \div 7} \end{gathered}[/tex]

[tex]\begin{gathered} \dashrightarrow\sf{x}= \tt{ \dfrac{700}{7} } \end{gathered}[/tex]

[tex]\begin{gathered} \dashrightarrow\sf{x}= \tt{\cancel{\dfrac{700}{7}}} \end{gathered}[/tex]

[tex]\begin{gathered} \dashrightarrow \sf{x}= \tt{100} \end{gathered}[/tex]

Hence, the value of x is 100.

Now, calculating the larger number :

[tex]\begin{gathered} \dashrightarrow\sf{Larger \: number} = \tt{11x} \end{gathered}[/tex]

[tex]\begin{gathered} \dashrightarrow\sf{Larger \: number} = \tt{11 \times 100} \end{gathered}[/tex]

[tex]\begin{gathered} \dashrightarrow\sf{Larger \: number} = \tt{1100} \end{gathered}[/tex]

Hence, the larger number is 1100

[tex]\rule{300}{1.5}[/tex]

The following functions could represent the graph below then the correct option is B; y =  (x - a)^2 (x - b)^4.

A graph contains data of which input maps to which output.

Analysis of this leads to the relations which were used to make it.

we have given that a and b are real numbers different than zero.

From the graph, we can see that the line touches the x-axis in two values.

Now, if we would have an equation such as:

y = x(x - a)^3 (x - b)^3

then when x = 0

y = 0(0-a)^3 (0-b)^3

y = 0

But in the graph, we can see that when x = 0, the value of y is different than zero,

(For example, if x > a and x < b we would have a negative value for y)

Then the correct option is B ;y =  (x - a)^2 (x - b)^4

Learn more about graphing functions here:

https://brainly.com/question/14455421

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Answer:

x = 6

Step-by-step explanation:

3x - 2 = 2x + 4

First, we need only 1 set of x, so I'll subtract the smallest x from the other.

-2x both sides.

x - 2 = 4

Next, add +2 to both sides. (In these types of questions always do the inverse!)

And so your answer is:

x = 6

Answer:

x = 6

Step-by-step explanation:

1. Add  2  to both sides of the equation

3x - 2 = 2x + 4

3x - 2 + 2 = 2x + 4 + 2

2. Simplify  

3x = 2x + 6

3. Subtract 2x from both sides of the Equation

3x - 2x = 2x  + 6 - 2x

4. Simplify

x = 6

Answer:

D

Step-by-step explanation:

Answer:

d 108.5

Step-by-step explanation:

assuming that the two angles with this dot * are equal...we can look for their sizes... by using SOHCAHTOA

SO I use tan

tan∅= opposite/adjacent

tan∅= 30/40 = 0.75.......then find the inverse you get 36.87......angles in a triangle adds up to 180.... * =26.57

use SOHCAHTOA again to get ungiven sides

then add ABC to get 108.54 cm as your answer.

I hope this is helping

Answer:

36.58

Step-by-step explanation:

38.3-1.72=36.58

The value of the expression 38.3 - 1.72 will be 36.58.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

The numbers are given below.

38.3 and 1.72​

Then the difference between the numbers 6 and 1/3 will be given by putting a minus sign between them. Then we have

⇒ 38.3 - 1.72

⇒ 36.58

The value of the expression 38.3 - 1.72 will be 36.58.

More about the Algebra link is given below.

https://brainly.com/question/953809

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Answer:

y=2x-2

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(6-(-6))/(4-(-2))

m=(6+6)/(4+2)

m=12/6

m=2

y-y1=m(x-x1)

y-(-6)=2(x-(-2))

y+6=2(x+2)

y=2x+4-6

y=2x-2

Note that the slope-intercept form is y=mx+b where m=slope and b=y-intercept.

The total amount of pennies Idrissa raised in this fundraiser is = 960 pennies

The total mass of all the pennies = 2,400g

But two (2) pennies = 5g

Therefore, to calculate the total amount of pennies Idrissa raised you cross multiply.

That is: 2 pennies = 5g

x pennies = 2,400g

Making x the subject of formula,

[tex] x = \frac{2 \times 2400}{5} [/tex]

[tex]x = \frac{4800}{5} [/tex]

[tex]x = 960[/tex]

Therefore the total amount of pennies Idrissa raised in this fundraiser is = 960 pennies.

Learn more here:

https://brainly.com/question/294036

Answer:

19.25 ft

Step-by-step explanation:

for every one cm the actual car is 2.5 feet. therfore it would be 7.7 times 2.5 which equals 19.25

Answer: Do the math, the positive solution

t = 5.0495 seconds (If it's wrong sorry, I havent done a problem like this one in awhile!)

Step-by-step explanation:

Answer:

V: (4, -2), min, Axis: x = 4, Roots 2 and 6

Step-by-step explanation:

Multiply everything x 2 to get rid of the decimal in front of x^2

2y = x^2 - 8x + 12

Factor

2y = (x - 6)(x - 2)

The roots are at 2 and 6.

The axis of symmetry is in the center between the roots, so it is x = 4.

Put 4 into the original equation to find y

y = 0.5(4*2) - 4(4) + 6

y = 8 - 16 + 6, y = -2  

Vertex is at (4, -2). It is a minimum because the graph opens up since x*2 is positive.

Answer:

.

Step-by-step explanation:

Answer:

42.40705%

Step-by-step explanation:

(1 - (23/100)^(19/9) = 1 + r/100

0.57593 = 1 + r/100

r = 42.40705%

Answer:

A

Step-by-step explanation:

hope this helped

Answer:

4y = -3x - 8

Step-by-step explanation:

Answer:

whats the question bro

Step-by-step explanation:

Answer:

whats the question mate?

Step-by-step explanation:

26 green apples

if you do 0.4 * 65 you get 26 which is 40% of 65

hope this helps!

Answer:

A. two lines in a plane with opposite reciprocal slopes

Step-by-step explanation:

Because, if you flip a slope and change the sign, you get an opposite reciprocal to the original slope, thus, forming perpendicular lines.

Answer:

Is it 95 If it is give me brainliess

Step-by-step explanation:

Answer: its 5k

Step-by-step explanation:

Answer:

Yes it does. Because it's a linear graph, what Mena's it's a linear relationship, and linear relationships are proportional

th graph is increasing I'm pretty sure