What is the solution to -2(1-4x)=3x+5 1) 6/11
2) 2
3) -10/7
4) -2

Please show work

Let's solve your equation step-by-step.

−2(1−4x)=3x+5

Step 1: Simplify both sides of the equation.

−2(1−4x)=3x+5

(−2)(1)+(−2)(−4x)=3x+5(Distribute)

−2+8x=3x+5

8x−2=3x+5

Step 2: Subtract 3x from both sides.

8x−2−3x=3x+5−3x

5x−2=5

Step 3: Add 2 to both sides.

5x−2+2=5+2

5x=7

Step 4: Divide both sides by 5.

5x

5

=

7

5

x=

7

5

x=

7

5

find the magnitude of the trig term  

csc

(

x

)

−

1

by taking the absolute value of the coefficient.

1

find the lower bound of the range.

tap for more

y

=

−

2

find the upper bound of the range.

tap for more

y

=

0

the range is  

y

≤

−

2

or  

y

≥

0

.

(

−

∞

,

−

2

]

∪

[

0

,

∞

)

{

y

|

y

≤

−

2

,

y

≥

0

}

step-by-step explanation:

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.