<span>seven less than (-7) than the product of twice a number (2x) is greater than (>) five more than (+5) the same number (x)
2x-7>x+5
treat the > sign as an equals for now
2x-7=x+5
subtract x from both sides
x-7=5
add 7 to both sides
x=12
put the > sign back in
x>12</span>
Answer:
Slope = 1/2
y-intercept = 30
Equation : y = 1/2x + 30
D. 150 miles
Step-by-step explanation:
We can use the two visible points you marked on the graph.
They are (0,30) which is also the y-intercept and (20,40).
Calculate change of y over change of x.
10/20 or 1/2
So the slope is 1/2 and the y-intercept is 30.
Therefore, using y = mx + b form, the equation is y = 1/2x + 30
Then, to find how many miles you drove if the cost was $105, we can plug in 105 for y in the equation.
105 = 1/2x + 30
75 = 1/2x
x = 150
Answer:
59 = 16 + d
Step-by-step explanation:
I got

What we know
cos a=-3/5.
sin b=12/13
Angle A interval are between 180 and 270 or third quadrant
Angle B quadrant is between 90 and 180 or second quadrant.
What we need to find
Cos(b)
Cos(a)
What we are going to apply
Sum and Difference Formulas
Basics Sine and Cosines Identies.
1. Let write out the cos(a-b) formula.

2. Use the interval it gave us.
According to the given, Angle B must between in second quadrant.
Since sin is opposite/hypotenuse and we are given a sin b=12/13. We. are going to set up an equation using the pythagorean theorem.
.




so our adjacent side is 5.
Cosine is adjacent/hypotenuse so our cos b=5/13.
Using the interval it gave us, Angle a must be in the third quadrant. Since cos is adjacent/hypotenuse and we are given cos a=-3/5. We are going to set up an equation using pythagorean theorem,
.




so our opposite side is 4. sin =Opposite/Hypotenuse so our sin a =4/5.Sin is negative in the third quadrant so
sin a =-4/5.
Now use cosine difference formula



Hope this helps