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algol13
3 years ago
10

Given the equation 7x-6=5(x+4) solve for variable and explain each step and justify your process

Mathematics
2 answers:
LekaFEV [45]3 years ago
4 0
7x-6=5(x+4)

7x-6=5x+20
-5x -5x

2x-6=20
+6 +6

2x=26
/2 /2


X=13
nlexa [21]3 years ago
4 0
Solve for x so we get the problem 7x-6=5(x+4) first parentheses solve 5(x=4) turns into 7x-6=5x+20 we need x on one side only 7x is greater so will add 6 to the -6 and do the same to the other side to get the new problem 7x=5x+26 the positive 6 gets rid of the 6 on the 7x side and adds 6 to 20 to make 26. last we get rid of 5x so subtract it from both sides and you get 2x=26 x has to be by its self so last thing to do is divide 2x by itself and 2x divided by 26 for the final problem (x=13 answer)
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In which direction does the graph of the function shown below open?
sp2606 [1]

Answer:

D. Up

Step-by-step explanation:

When a parabola has the form  y=ax^2+bx+c , It is vertical (opens up or down).

Because the variable "x" is squared.

If  "a" is positive, then the parabola opens up, but if it is negative, then the parabola opens down.

In this case you have the quadratic function:

f(x) = 2x^2+5x-4

Which can be rewritten as:

 y = 2x^2+5x-4

Therefore, it is vertical, because it has the form:  y=ax^2+bx+c

You can observe that the value of "a" is:

a=2

Then, since "a" is positive, the parabola opens up.

5 0
3 years ago
Find the slope of the line will mark as brain
vodka [1.7K]

Answer negative 9 is the answer

Step-by-step explanation:

7 0
3 years ago
Two-thirds a number plus 4 is 7
ICE Princess25 [194]

The equation (form) is: \frac{2}{3}x + 4 = 7

The solution of the equation is: x = \frac{9}{2}


Explanation:

First, let's call the number we are going to solve for "x".

Then two thirds of this number can be written as:

\frac{2}{3}x

Then "plus 4" means add 4 we get:

\frac{2}{3}x + 4

"is 7" means that the above expression is equal to 7 (as follows):

\frac{2}{3}x + 4 = 7

The solution of the above equation is:

\frac{2}{3}x + 4 = 7 \\ \frac{2}{3}x = 3 \\ x =  \frac{9}{2}

6 0
3 years ago
PLEASE HELP URGENTLY! ASAP RIGHT ANSWERS WILL BE MARKED BRAINLIEST!!!
WINSTONCH [101]

Answer:

Step-by-step explanation:

the formula for the circumference of a circle is 2rπ

the formula for the area of a circle is (r^2)π

the formula for the diameter of a circle is 2r

π=3.14

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

1. diameter =2r.    since diameter=24, r=12

2. circumference=2rπ.     since circumference = 314.     314=2rπ       r=49.9746

3. circumference=2rπ                                           area=(r^2)π

   since r=7, circumference=14π=43.98229      since r=7, area is 49π=153.9380

4. Since the diameter is 20 the radius is 10. so just insert it into the formulas as before:    circumference=20π=62.8318 and area=100π=314.15926

5.  the formula for the diameter is 2r=d        2(18)=d,    36=d

6. 2rπ=circumference = 2(5)π=10π=31.415926

Hope that helps :)

8 0
3 years ago
On a cube, what proportion of the surface area is on each face, to the nearest percent?
Nookie1986 [14]
Cubes have 6 equal faces, and the surface area is the sum of all of these faces. Thus, one face would be 1/6 of the cube's surface area, or about 17%.
3 0
3 years ago
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