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OleMash [197]
3 years ago
11

Giovanni justifies whether the expression -4x-8 is equivalent to -2(x+1)-2(x+3) by letting x=3 in both expressions. What is the

value of each expression when x=3.
3 and -20
4 and 4
-20 and -20
3 and 4
Mathematics
1 answer:
Lorico [155]3 years ago
3 0

Answer:

The value of each expression when x=3 will be -20 and -20.

Step-by-step explanation:

Given the expression

-4x-8

setting x=3

= -4(3)-8

=-12-8

=-20

Given the expression

-2(x+1)-2(x+3)

setting x=3

=-2(3+1)-2(3+3)

=-2(4)-2(6)

=-8-12

=-20

so we conclude that the value of both the expressions was -20 when we substituted the value x=3.

Therefore, the value of each expression when x=3 will be -20 and -20.

You might be interested in
A water storage tank has the shape of a cylinder with diameter 14 ft. It is mounted so that the circular cross-sections are vert
Gala2k [10]

Answer:

"85.7%" is the right answer.

Step-by-step explanation:

According to the question,

The total capacity of water tank will be:

⇒ v_1=A\times 14

The total volume of water will be:

⇒ v_2=A\times 12

Now,

The percentage of total capacity will be:

= \frac{100\times v_2}{v_1}

= \frac{v_2}{v_1}\times 100

By putting the values, we get

= \frac{A\times 12}{A\times 14}\times 100

= 85.7%

8 0
3 years ago
1/3k+80=1/2k+120 k=??
Sati [7]

Answer:

The value of k is 240

Step-by-step explanation:

\frac{1}{3}k + 80 = \frac{1}{2}k + 120

Or, 120 - 80 =  \frac{k}{2} - \frac{k}{3}

Or, 40 = \frac{k}{6}

So. k = 40 × 6  = 240

Hence The value of k is 240   Answer

3 0
3 years ago
A video camera is being mounted on a bank wall so as to have a good view of the head teller. Find the angle of depression that t
Sever21 [200]

Answer:

The angle of depression of the lens must be 26.3°

Step-by-step explanation:

Here we have a right triangle with the opposite side to the angle equal to 5.93 feet and the adjacent side to the angle equal to 12.02 feet. Therefore we just need to use the tangent definition to find the angle.

tan(\alpha)=\frac{5.93 ft}{12.02 ft}=0.49

\alpha=tan^{-1}(0.49)=26.3^{\circ}

The angle of depression of the lens must be 26.3°

I hope it helps you!  

5 0
3 years ago
Help me with this question math please
Dafna1 [17]

Answer:

42.94$ is the answer.....

6 0
2 years ago
20 points if you help
Talja [164]

A

The first equation has slope 6 and y intercept -4.  I'd plot y intercept (0,-4) and (1,2), and connect the dots and extend for the first line.

The second equation has slope 5 and y intercept -3.  I'd plot y intercept (0,-3) and (1,2), and connect the dots and extend for the second line.

We stumbled on the solution, both lines contain (1,2)

B

I don't like the graphing.  This is algebra, not connect the dots.

We have two equations for y, we equate them to find the x where they meet.

6x - 4 = 5x - 3

6x - 5x = -3 + 4

x = 1

y = 6(1) - 4 = 2

Check:  y = 5(1) - 3 = 2, good

Answer: (1, 2)

4 0
3 years ago
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