Solve 3|x - 61 = 12.

9514 1404 393

Answer:

  False

Step-by-step explanation:

Point (3, 4) will become (3+3, 4-1) = (6, 3), not (0, 5). The statement is False.

_____

Additional comment

The point (0, 5) would be translated to (3, 4). That is not what the question is asking.

Answer:

B. [tex]g(x) = x^{3} - 5[/tex]

Step-by-step explanation:

The graph of f(x) is the graph of g(x) translated 5 units downwards.

Answer:

x =  150 ft

y  =   y  =  150 / 17 ft

Step-by-step explanation:

Area of the field is    A  =  x*y

Let´s assume x is the larger side of the rectangle, and that we will get 33 identical smaller rectangular plots dividing  x into 33 rectangles ( using 34 sides of length  y ) then the quantity of fence is:

p  =  2*x  +  34*y   ⇒   600  =  2*x  +  34*y        y  =  ( 600 - 2*x)/34

A = x*y

A (x)  =  x*  ( 600 - 2*x)/34

A (x)  = ( 600*x  - 2*x²)/34

Taking derivatives on both sides of the equation:

A´(x)  = (1/34)* ( 600 - 4*x )

A´(x)  =  0       (1/34)* ( 600 - 4*x ) = 0      600  -  4*x  = 0

x  =  600/4

x = 150 feet

And  y  =  (1/34)( 600 -  2*150)

y  =  300/34    y  =  150 / 17 ft

y  =  8.82 ft

How do we know that is a maximum area, we find the second derivative of A

A´´(x)   =    - 4/34      then  A´´(x) < 0

We get a maximum of function A for the value  x = 150

Answer:

0.3

Step-by-step explanation:

Go left to right for each digit, which one is greater. They all have a decimal so for right now we can’t eliminate any. Next digit we two 2s a 0 and a 3. Whch number is greater? The three! So the greatest number is 0.3.

Answer:

4equal to plus 5 eul is to be 9

Answer:

r = 25 yds

Step-by-step explanation:

The radius is 1/2 of the diameter

r =1/2d

r =1/2( 50 yds)

r = 25 yds

Answers:

x = 6

Each angle is 45 degrees

The diagram is shown below

=========================================================

Explanation:

Vertical angles are always congruent

Set the two expressions equal to each other and solve for x.

5x+15 = 3x+27

5x-3x = 27-15

2x = 12

x = 12/2

x = 6

As a way to check the answer, replace x with 6 in each expression. We should get the same thing on both sides

5x+15 = 3x+27

5*6+15 = 3*6+27

30+15 = 18+27

45 = 45

Each angle is 45 degrees, so the answer is confirmed.

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The diagram is shown below. There are infinitely many ways to draw out the diagram. In the version I drew, the angles aren't vertically aligned but instead they are opposite one another in this X configuration. So the vertical angles could be vertically aligned, but they don't have to be.

In short: draw an X shape and mark any two opposite angles to form the vertical angles.

Answers:

Each pair of triangles are congruent. The congruence reasoning is shown below.

======================================

Further Explanation:

Abbreviations:

ASA = angle side angle

SSS = side side side

HA = hypotenuse angle

Answer:

B) 18.610

Step-by-step explanation:

Using SOHCAHTOA (trig ratios), the tangent of 28° is the ratio of its opposite length to its adjacent.

in this scenario, the side opposite to 28°, and the side adjacent to it is 35°

tan 28° = y/35

Using inverse operations, multiply both sides by 35

y = 35 * tan 28

Solve your answer using your calculator.

I attached a picture that can help you later to recognize what function to use depending on the sides given.

Answer:

88 or 1 minute and 28 seconds

Step-by-step explanation:

396/9= 44 times the two seconds it takes to print is 88

Answer:

1782

Step-by-step explanation:

9 divided by 2.0

=4.5

4.5×396

=1782

Answer:

20 is the answer I got

Answer:

Step-by-step explanation:

Substitute the value for y or x into the equation thats listed with it.

For the first one, substitute 3 in place of y.

3x + 6 y = 60 turns into

3x + 6 * 3 = 60

3x + 18 = 60

3x = 60-18

3x = 42

x = 42/3

x = 14

Apply the same to the other equations

10x + 4y = 70 turns into

10 * 5 + 4y = 70

Then solve for y

7

___________________

Answer:

Step-by-step explanation:

Which rational function models the time, y, in hours, that it takes the train to travel between the two cities at an average speed of x miles per hour?  

✔ y = 160/x

What does the number 160 represent in the rational function that models the situation?

✔distance, in miles, between the cities

amount of fuel, in gallons, used by the train

time, in minutes, needed to travel between the cities  

Answer: NOTE Pictures Are not in order! Make sure you check page number.

Step-by-step explanation:

On page 6 the answers are ”C” and ”5lbs”

On page 7 the answers are “C”, “$ 418”, “ The cat”, and then “ $960”.

On page 8 the answers are : < Just copy paste this below.>

“Based on the calculation, they should purchase the second television as the cost is cheaper.

Based on the information given in the question, the cost of the first television will be:

= $330 + ($14 × 8)

= $330 + $102

= $442

The cost of the second television will be:

= $369 + ($9 × 8)

= $369 + $72

= $441

Therefore, the second television is cheaper.”

                   ^    

<Just copy paste this. >           [Then check. “A,B,C,”.]

On page 9 the answer is “ D “.

Answer:

[tex]\cos(J) = 0.67[/tex]

Step-by-step explanation:

Given

[tex]\angle K = 90^o[/tex]

[tex]KJ = 65[/tex]

[tex]IK = 72[/tex]

[tex]JI = 97[/tex]

Required

[tex]\cos(J)[/tex]

The question is illustrated with the attached image.

From the image, we have:

[tex]\cos(J) = \frac{KJ}{JI}[/tex]

This gives:

[tex]\cos(J) = \frac{65}{97}[/tex]

[tex]\cos(J) = 0.67010309278[/tex]

[tex]\cos(J) = 0.67[/tex] --- approximated

Answer:

Step-by-step explanation:

Compoud interest is the addition of interest to the principal sum of a loan or deposit, or in other words, interest on interest. the formula is:

[tex]c_n=c_o(1+i)^n\\\\c_o->initial~invesment\\i->interest\\n->number~of~ intervals[/tex]

[tex]c_5=8000(1+\frac{10}{100})^5\\c_5=12848.88[/tex]

Answer:

The answer e i think

Step-by-step explanation:

Answer:c

Step-by-step explanation:

c

Step-by-step explanation:

what is your question please

Answer:

d. 20 qt.

Step-by-step explanation:

4 quarts to a gallon so 4x5= 20

Answer: -12

Step-by-step explanation:

3(-2)^3 - 2(-2)^2 - 9(-2) + 2 = N

3(-8) - 2(4) - 9(-2) + 2 = N

-24 - 8 + 18 + 2 = N

-12 = N

Step-by-step explanation:

answer is in the above photo

there are 29 boys total

Answer:

a = 2

Step-by-step explanation:

Use Pythagorean Theorem:

[tex]a^2+b^2=c^2\\a^2+2.1^2=2.9^2\\a^2+4.41=8.41\\a^2=4\\\sqrt{a^2}=\sqrt{4}\\a=2[/tex]

Therefore, a is 2 meters.

Answer:

Volume for cube: L x W x H

L= Length, W= width, H=height

Answer:

If I understand this right I think it would be 8 and 6?

Step-by-step explanation:

Sorry if this is wrong I'm really bad at math, please tell me if this is right.

Answer:

-36

Step-by-step explanation:

See image below:)

Answer:

x = -36

Step-by-step explanation:

subtract 'x' from each side to get:

-18 = 2x + 54

subtract 54 from each side to get:

-72 = 2x

x = -72/2

x = -36

Answer:

[tex]base = \sqrt{ {4}^{2} + {3}^{2} } \\ = \sqrt{25} = 5 \\ x = \sqrt{ {6}^{2} - {5}^{2} } \\ x = \sqrt{11} \\ x = 3.3[/tex]

Answer:i took the test

Step-by-step explanation: 76879686

Answer:

Complex roots

Step-by-step explanation:

Given

[tex]8v^2 + 8 = -11v[/tex]

Required

The type of solution

Rewrite as:

[tex]8v^2 +11v+ 8 = 0[/tex]

To determine the type of solution, we simply calculate the discriminant (D)

[tex]D = b^2 - 4ac[/tex]

Where

[tex]a = 8;\ \ \ b =11\ \ \ c = 8[/tex]

So, we have:

[tex]D = 11^2 - 4 * 8 * 8[/tex]

[tex]D = 121 - 256[/tex]

[tex]D = -135[/tex]

The above value implies that:

[tex]D<0[/tex]

When [tex]D<0[/tex], the solution of the equation is: complex roots

Answer:

108

Step-by-step explanation:

200 divided by 60 equals 3 then 36 times 3 equals 108

Answer:

120 heads

Step-by-step explanation:

The Experimental probability for heads is 36/60. now we have to find the experimental probability for 200 flips. so 36/60 = ?/200. We have to find a number that 60 multiplies by to get 200. That number is 200/60 = 20/6 = 3 1/3. So multiply 36 by 3 1/3: 36 * 3 = 108. 36 * 1/3 = 12. 108 + 12 = 120. So it is 120 heads