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devlian [24]
1 year ago
10

Translate the following word phrases to an algebraic expression and simplify: “8 times the difference of 6 times a number and 3”

Mathematics
1 answer:
Ostrovityanka [42]1 year ago
3 0

SOLUTION:

Step 1:

In this question, we are meant to:

Translate the following word phrases to an algebraic expression and simplify:



“8 times the difference of 6 times a number and 3”

Step 2:

Assuming the unknown number be y, we have that:

\begin{gathered} 8\text{ ( 6y - 3 )} \\ =\text{ 48 y - 24} \end{gathered}

CONCLUSION:

The final answer is:

48y\text{ - 24}

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Given that k(x) = (2x + 4)2
taurus [48]

Answer:

f(x)=4x\\g(x)=x+2

Step-by-step explanation:

Because we have to rewrite this equation in the format f(g(x)), we have to divide, or factor to find basic terms,

Expanding the value of k(x), we have k(x)=4x+8. We see that each term can be divisible by 4, so we can factor out 4 to get

k(x)=4(x+2)

Now, we have two different terms getting multiplied. We can separate the two to get 4 \text{ and} (x+2)

Because we are multiplying 4 by the other term, this is represented by 4x

Now, we can just set f(x) and g(x) to these functions:

f(x)=4x\\g(x)=x+2

Now, just to make sure, we can plug a value into k(x) and the same value into f(g(x)). Plugging in 1, we have (2(1)+4)2 as 2(2+4), which is 2(6) = 12.

Plugging 1 into f(g(x)), we can evaluate g(1) first, to get 1 + 2 = 3. Now, f(3) = 4(3)= 12, which is the same for k(x).

3 0
2 years ago
I am a solid figure with two congruent polygons that are bases , connected with lateral faces that are rectangles.
Kamila [148]
(basically like a 3D hexagon)
~Hope this helped
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3 0
3 years ago
The solution to -2x + 8 = -10
horsena [70]

Answer:9

Step-by-step explanation:

-2x+8=-10

-2x=-18

X=9

7 0
3 years ago
Read 2 more answers
Which expression represents 10 times the sum of 2 and 1?A. 10 X 2+1B. 10x2x1C. 10+ (2x1)D. 10 x (2+1)
faltersainse [42]

10 times the sum of 2 and 1 is represented by the following expression:

10 x (2 + 1)

10 x is ten times, and (2 + 1) the sum of 2 and 1, "10 times the sum of 2 and 1".

3 0
1 year ago
somebody please help.. What is the area of the equilateral triangle? Round to the nearest square centimeter.
zloy xaker [14]
<span>for an equilateral triangle you need to know that:
- Sides are equal a = b = c (figure 1)
- Each angle is 60 degrees (figure 1)
- Height led from the top of the base of the triangle divide into two identical special right triangles on Measures angles 30,60,90 degrees. (figure 3)

</span>triangle with angles : 30°,60° , 90°<span>  is the length of the sides :
1 a = a  catheus (red)
2 b = a</span>√3  catheus (red)
<span>3 c = 2a  hypotenuse

</span><span>the product of the hypotenuse of the triangle is the value of the surface of an equilateral triangle
</span>
P = a*b = (1/2*68cm*√3)*(1/2*68cm) = (34√3cm) * (34cm) = 1156√3cm²

for notebook
You can use the model

P =  \frac{ a^{2} * \sqrt{3} }{4}  =  \frac{ (68cm)^{2}* \sqrt{3}  }{4} =  \frac{4624 \sqrt{3}  cm^{2} }{4}  = 1156 \sqrt{3}  cm^{2}

<span>as soon as I add attachments - drawings</span>

8 0
3 years ago
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