Is the expression 2f + 4f + 2 – 3 equivalent to 6f – 1?



6f – 1 evaluated at f = 9 is 53.

2f + 4f + 2 – 3 evaluated at f = 9 is also 53.



6f – 1 evaluated at f = 3 is 17.

What is 2f + 4f + 2 – 3 evaluated at f = 3?

iv been stuck for 10 min now

Answer:

4 is your answer.

Step-by-step explanation:

You would break down both numbers into their factors.

28 is divisible by 1,2,4,7,14,and 28

60 is divisible by 1,2,3,4,5,6,10,12,15,20,30, and 60

find the common pairs: (1,1), (2,2), (4,4) Both numbers have these as factors, so find the largest one.  

The greatest common factor (GCF) of 28 and 60 is 4.

To find the Greatest Common Factor GCF of two numbers, we need to determine the largest number that divides both numbers without leaving a remainder. One way to find the GCF of 28 and 60 is to list the factors of each number and identify the largest factor that they have in common.

The factors of 28 are 1, 2, 4, 7, 14, and 28.

The factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, and 60.

The largest factor that 28 and 60 have in common is 4.

Therefore, the GCF of 28 and 60 is 4.

Another way to find the GCF of two numbers is to use prime factorization. To do this, we need to express each number as a product of its prime factors.

The prime factorization of 28 is 2² x 7, and the prime factorization of 60 is 2² x 3 x 5. To find the GCF, we take the product of the common prime factors with the smallest exponents, which in this case is 2². Therefore, the GCF of 28 and 60 is 2², which is equal to 4.

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Angle P and angle Q are the same, which means the two sides PR and QR are the same.

Set the two equations to equal and solve:

5n = 32 +n

Subtract 1n from each side:

4n = 32

Divide both sides by 4:

n = 32 / 4

n = 8

Now we have the value for n, solve for PR.

PR = 5n = 5(8) = 40

Answer:

71

Step-by-step explanation:

Answer: 107

Step-by-step explanation:

Hi, to answer this we have to write an equation for  Colin's score (C) and another equation for Brian's score (B).

Colin scored 36

C =36

Brian scored 35 more than Colin.

B = C +35

Replacing C by 36 in Brian's score equation:

B = (36) +35 = 71

To calculate the combined score we have to add both scores:

C +B = 36 +71 = 107

Answer: x<61.63

Step-by-step explanation: Add 200 to both sides, giving you 15.56x<958.92 .

Than divide by 15.56 giving you x< x<61.627249

Round to the nearest hundredth giving you x<61.63

Answer:   61.63

Step-by-step explanation:

The given inequality : [tex]15.56x - 200 < 758.92[/tex]

Adding 200 on both the sides , we get

[tex]15.56x < 758.92+ 200\\\\\Rightarrow\ 15.56x <958.92 [/tex]

Dividing 15.56 on both the sides , we get

[tex]\dfrac{15.56x}{15.56}<\dfrac{958.92}{15.56}\\\\\Rightarrow\ x<61.6272493573\approx61.63[/tex]

Hence, the value of x (to the nearest hundredth) = 61.63

Answer:

[tex]\sqrt{2^5}[/tex]

Step-by-step explanation:

[tex]2^{1/2}[/tex] × [tex]2^{3/4}[/tex] = [tex]2^{5/4}[/tex]

([tex]2^{5/4}[/tex])² = [tex]2^{5/2}[/tex] = [tex]\sqrt{2^5}[/tex]

Answer:

[tex]\large\boxed{\sqrt{2^5}}[/tex]

Step-by-step explanation:

[tex]\bigg(2^\frac{1}{2}\cdot2^\frac{3}{4}\bigg)^2\qquad\text{use}\ a^n\cdot a^m\\\\=\bigg(2^{\frac{1}{2}+\frac{3}{4}}\bigg)^2\qquad\left/\dfrac{1}{2}+\dfrac{3}{4}=\dfrac{1\cdot2}{2\cdot2}+\dfrac{3}{4}=\dfrac{2}{4}+\dfrac{3}{4}=\dfrac{5}{4}\right/\\\\=\bigg(2^\frac{5}{4}\bigg)^2\qquad\text{use}\ (a^n)^m=a^{nm}\\\\=2^{\frac{5}{4}\cdot2}\\\\=2^{\frac{5}{2}}\qquad\text{use}\ a^\frac{m}{n}=\sqrt[n]{a^m}\\\\=\sqrt{2^5}[/tex]

Answer:

If a parallelogram has at least one 90 degree angle then its opposite angle is equal and also = 90 degrees.  

The 2 remaining opposite angles add up to 180 degrees and since they must be equal, they must be 90 degrees each.

So, we have a quadrilateral with four 90 degree angles and is therefore a rectangle OR it could possibly be a square.

Step-by-step explanation:

Answer: one right angle property

First you need know that AB = DC and AD = BC.

So,

3y - 2 = y + 6

2y = 8

y = 4

AB = 3(4) - 2 = 12 - 2 = 10

2x - 4 = x + 12

x = 12 + 4

x = 16

BC = 16 + 12 = 28

So your answer is:

AB = 10; BC = 28

The lengths of line segments AB = 10 and BC = 28.

The opposite sides of a parallelogram are congruent,

AB = DC,

3y - 2 = y + 6

subtract y from both sides, then we get

2y - 2 = 6

adding 2 to both sides

2y = 8

Dividing both sides by 2, then we get

y = 4

Hence AB = 3y - 2 = (3 × 4) - 2 = 12 - 2 = 10

and AD = BC, that exists

2x - 4 = x + 12

subtract x from both sides

x - 4 = 12

adding 4 to both sides

x = 16

BC = x + 12 = 16 + 12 = 28

The lengths of line segments AB = 10 and BC = 28.

Therefore, the correct answer is AB = 10 and BC = 28.

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Answer:

1

Step-by-step explanation:

[tex] ln4x = 2 ln8 \div 2 \\ ln4x = ln4 \\ x = 1[/tex]

Hope it helps you...☺

Answer:

x = 2

Step-by-step explanation:

Using the rules of logarithms

• log [tex]x^{n}[/tex] ⇔ n logx

• log x = log y ⇒ x = y

Given

2 ln 4x = 2 ln 8

ln (4x)² = ln 8²

ln 16x² = ln 64, hence

16x² = 64 ( divide both sides by 16 )

x² = 4 ( take the square root of both sides )

x = [tex]\sqrt{4}[/tex] = 2

Answer:

-3

Step-by-step explanation:

I'm going to find both equations first.

Slope for line l can be found by doing

 (1  ,  3)

- (2 ,  5)

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

  -1      -2          so slope is -2/-1 or just 2

y=mx+b is a linear equation with slope m and y-intercept b

y=2x+b  now we need b

3=2(1)+b  plug in a point on the line

3=2+b

so b=1

The equation for line l is y=2x+1

The other equation line m has the slope given which is 1 so this equation will be of the form y=1x+b

to find this b (this y-intercept) use the point that you know is on the line

4=1(1)+b  

so b=3

so line m is y=1x+3 or y=x+3

So we want to find when y=2x+1 and y=x+3 intersect

Replace first y with the 2nd y which is x+3

x+3=2x+1

subtract x on both sides

  3= x+1

subract 1 on both sides

 2=x

 x=2

y=2x+1

y=2(2)+1

y=4+1

y=5

So the intersection is (2,5)

So a=2 and b=5

a-b =2-5=-3

Lines l and m intersect at point (2, 5)

The equation of a straight line is given by:

y = mx + b;

where y,x are variables, m is the slope of the line and b is the y intercept.

Line l passes through the points (1, 3) and (2, 5), hence its equation is:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1 )\\\\y-3=\frac{5-3}{2-1}(x-1)\\\\y-3=2x-2\\\\2x-y=-1[/tex]

2x - y = -1    (1)

Line m passes through point (1, 4) and has a slope of 1, hence:

[tex]y-y_1=m(x-x_1)\\\\y-4=1(x-1)\\\\x-y=-3[/tex]

x - y = -3     (2)

To determine point (a, b) we solve equation 1 and 2 simultaneously to get:

x = 2, y = 5

Hence lines l and m intersect at point (2, 5)

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The triangle that seems to be congruent to the given one is triangle EFA.

Here's why:

Both triangles have three straight sides.
Both triangles have the same angles at corresponding vertices. For example, the angle at vertex E in triangle EFA is congruent to the angle at vertex A in the given triangle, and the angle at vertex F in triangle EFA is congruent to the angle at vertex C in the given triangle.
The corresponding sides of the triangles have the same lengths. For example, side EF in triangle EFA is congruent to side AC in the given triangle, and side FA in triangle EFA is congruent to side CB in the given triangle.
Therefore, based on the properties of congruence, triangle EFA is congruent to the given triangle.

Answer:

7.28 units to the nearest hundredth.

Step-by-step explanation:

Use the Pythagoras theorem.

If you examine the graph you see that the line segment is the hypotenuse of a right triangle with legs of length 2 and 7.

XY^2 = 2^2 + 7^2

XY^2 =  53

XY = √53

XY = 7.28.

Answer: Third option.

Step-by-step explanation:

You need to use the formula for calculate the distance between two points. This is:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

You can observe in the graph that the coordinates of the point X and the point Y are the following:

X(-4,0) and Y(3,2)

Knowing this, you can substitute the coordinates into the formula.

You get that the lenght of the segment XY is:

 [tex]d_{(XY)}=\sqrt{(3-(-4))^2+(2-0)^2}\\\\d_{(XY)}=\sqrt{53}\ units[/tex]

This matches with the third option.

Answer:

0.3333

Step-by-step explanation:

To get 5/15 converted to decimal, you simply divide 5 by 15.

Hope this helps!

Answer:

270 words per minute

Step-by-step explanation:

It is given 180 words in 2 minutes, this means Toni can type 180/2 = 90 words per minute (90wpm).

Thus, in the same ratio/rate, Toni would be able to type:

90 * 3 = 270 words per minute.

Correct answer 270 wpm

Answer:

270

Step-by-step explanation:

hello

sales tax alone = 0.99, 2.06, 16.5, 1237.5 for the items

Answer:

[tex]x = \frac{7}{9} [/tex]

Step-by-step explanation:

[tex]9x + 4 = 11 \\ \\ 1. \: 9x = 11 - 4 \\ 2. \: 9x = 7 \\ x = \frac{7}{9} [/tex]

Answer with explanation:

The given equation in one variable is:

→  9 x +4 =11

Subtracting 4 from both sides

→9 x +4 -4=11 -4

→ 9 x=7

Taking log on both sides

→log ( 9 x)= log 7-----log having base 10 is considered.

→ log 9  + log x= log 7

→ 0.95424 + log x= 0.8450

→ log x=0.8450 - 0.9542

→ log x= -0.1092

[tex]\rightarrow\frac{\log x}{\log 10}=-0.1092\\\\\rightarrow \log x=-0.1092 \times \log 10\\\\\rightarrow \log x=\log 10^{-0.1092}\\\\\rightarrow x=10^{-0.1092}\\\\\rightarrow x=0.77767\\\\x=0.778[/tex]

Step-by-step explanation:

angle YWX = angle YXW ...eqn 1

angle XYZ = angle WYX (0.5) = 15x...eqn 2

angle YXZ = angle YXW = 2x + 5...eqn 3

=> from eqn 1 and 3 we get...

angle YWX = 2x + 5 ...eqn 4

=> from eqn 2 we get

angle WYX = 2 × angle XYZ = 30x...eqn 5

a triangle has a total of 180deg,

=>angle WYX + angle YWX + angle YXW = 180deg

=> 30x + 2x +5 + 2x +5 = 180deg

=> 34x +10 =180deg

=> x = 5deg

subst x = 5deg in eqn 5, we get

angle WYX = 30 × 5 = 150deg

Answer:

D = 150 degrees

Step-by-step explanation:

Just got it correct on Edg, 2021!

Answer:

y - 4 = 3(x + 2)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

here m = 3 and (a, b) = (- 2, 4), hence

y - 4 = 3(x - (- 2)), that is

y - 4 = 3(x + 2) ← in point- slope form

Answer:

The value of x is 15 ⇒ answer D

Step-by-step explanation:

* Lets talk about dilation

- A dilation is a transformation that changes the size of a figure.  

- It can become larger or smaller, but the shape of the

 figure does not change.  

- The scale factor, measures how much larger or smaller  

  the image will be

- If the scale factor greater than 1, then the image will be larger

- If the scale factor between 0 and 1, then the image will be smaller

- If the scale factor is negative then the figure will reflected

* Now lets solve the problem

∵ D (o, k) (x , 9) → (-10 , -6)

- D means dilation

- o means the center of dilation is the origin

- k means the scale factor of dilation

∵ The y-coordinate of the point is 9

∵ The image has y-coordinate -6

∵ The image = The scale factor × the coordinates

∴ -6 = k × 9 ⇒ divide both sides by 9

∴ k = -6/9 = -2/3

- Lets find x by same way

∵ -10 = -2/3 × x ⇒ divide both sides by -2/3

∴ x = -10 ÷ (-2/3) ⇒ change the division to multiplication

∴ x = -10 × (-3/2) = 30/2 = 15

∴ The x-coordinate of the point before dilation is 15

* The value of x is 15

The missing component is a Control Group

Answer:

Control group

Step-by-step explanation:

A control group is necessary in all experiments that require a comparison. A control group and an experimental group are both included in an experiment. These two need to be identical in every way with the exception of the fact that the experimental group will be subjected to a treatment that is believed to have a particular outcome. In this case, it is difficult to know whether the drink really has the desired effects or not, as we are not aware of the results of a control group.

Answer:

AD = 29

Step-by-step explanation:

Note that

AD = AB + BD = 6 + 23 = 29

Answer:

$265,93 Apex confirmed

Step-by-step explanation:

Answer:

$265.932

Step-by-step explanation:

We have been given that the cost of $500,000 worth of 20-year-term life insurance for Shanika is  $73.87 per month. Shanika's employer covers 70% of this cost. We are asked to find the amount that is deducted from Shanika's gross income per year for life insurance.

Since Shanika's employer covers 70% of her life insurance, so Shanika pays 30% (100%-70%) of her life insurance.

Let us find amount paid by Shanika per month for life insurance.

[tex]\text{Amount paid by Shanika for life insurance per month}=\$73.87\times\frac{30}{100}[/tex]

[tex]\text{Amount paid by Shanika for life insurance per month}=\$73.87\times0.30[/tex]

[tex]\text{Amount paid by Shanika for life insurance per month}=\$22.161[/tex]

To find amount paid by Shanika is one year, we will multiply $22.161 by 12 as 1 year is equal to 12 months.

[tex]\text{Amount paid by Shanika for life insurance per year}=\$22.161\times 12[/tex]

[tex]\text{Amount paid by Shanika for life insurance per year}=\$265.932[/tex]

Therefore, $265.932 is deducted from Shanika's gross income per year for life insurance.

Answer: D

Step-by-step explanation:

I would say the answer is a point, points are theoretically a

zero-dimensional idea

Answer:

D. point

Step-by-step explanation:

A point is an undefined term in Geometry. It represents a position in space. It has no length, width, or height.

Answer:

~x->~y

Step-by-step explanation:

Inverse of a conditional p->q is not p->not q

So inverse of x->y is ~x->~y

Answer:

The correct option is A.

Step-by-step explanation:

The given statement is

[tex]x\Rightarrow y[/tex]

We need to find the inverse of the given statement.

If a and b are two statements, then

Direct statement : [tex]a\Rightarrow b[/tex]

It means if a is true then b is true.

Inverse statement :  [tex]\sim a\Rightarrow \sim b[/tex]

It means if a is false then b is false is true.

The inverse of given statement is

[tex]\sim x\Rightarrow \sim y[/tex]

Therefore the correct option is A.

Answer:

315 apples

Step-by-step explanation:

45 divided by 3 = 15 then time's that by 7

For this case, we must build a quotient that, when multiplied by the divisor, eliminates the terms of the dividend until it reaches the remainder. In this case we have to:

Remainder: 20

Quotient: 3x-9

It must be fulfilled that:

Dividend = Quotient * Divider + Remainder

Answer:

See attached image

Answer:

two

Step-by-step explanation:

Two

x - 1 = 0

x = 1

x + 3 = 0

x = - 3

You can see them for your self. The roots are the points where the graph cuts the x axis.

(1,0) and

(-3,0)

Answer:

C. 320

Step-by-step explanation:

According to it's formula, the intensity when [tex]l = 10^{32}[/tex] is of 440 db.

The intensity of a sound l is given by:

[tex]L(l) = 10\log{\left(\frac{l}{l_0}\right)}[/tex]

In which [tex]l_0 = 10^{-12}[/tex] is the threshold of a hearing intensity.

In this problem, we have that the sound is of [tex]l = 10^{32}[/tex], hence:

[tex]L(l) = 10\log{\left(\frac{10^{32}}{10^{-12}}\right)} = 10\log{10^{44}} = 10 \times 44 = 440[/tex]

Hence, the intensity of the sound is of 440 db.

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Answer:

[tex]f(n)=-2\cdot f(n-1)[/tex], where f(1)=3

Step-by-step explanation:

The given sequence is; 3, –6, 12, –24, 48, …

The first term of this sequence is

[tex]f(1)=3[/tex]

There is a common ratio of [tex]r=\frac{-6}{3}=-2[/tex]

We can actually use any other two consecutive terms in the sequence to obtain the common ratio.

The recursive formula is given by:

[tex]f(n)=r\cdot f(n-1)[/tex]

We plug in the common ratio to get:

[tex]f(n)=-2\cdot f(n-1)[/tex], where f(1)=3

Answer:

The answer is C

Step-by-step explanation:

Answer:

y = 28 degrees

x = 28 degrees

Step-by-step explanation:

A right angle = 90 degrees

90 degrees - 62 degrees = 28 degrees

This is for both x and y because 62 degrees occupies both the right angles.

Answer:

right angles are 90 degrees

90-62=28

X=28

y=28

I hope this helps!

Answer:

B) As the age increases, the height increases.

Step-by-step explanation:

There is a clear trend that is shown with a positive slope. That means that the the variables, here, the age and the height, are directly proportionate to each other. That means our answer is B or D.

Another note is that in a situation like this, the y-variable is dependent on the x-variable. So, here, that means that the height depends on the age. So, the answer is B, since in a sentence structure like so indicates that the second variable is dependent on the first.

Answer: the answer is b

Step-by-step explanation:

can you rate me good