C is the answer.
in the original function, when x=0, y=-1
in the new function, to make y=-1, x+3=0, x=-3. From the original 0 to -3 is a shift of 3 units to the left.
Answer:
x = 21/8
Step-by-step explanation:
Step 1: Write equation
x - 11 = 3 - 7(x - 1)
Step 2: Solve for <em>x</em>
<u>Distribute -7:</u> x - 11 = 3 - 7x + 7
<u>Combine like terms:</u> x - 11 = 10 - 7x
<u>Add 7x on both sides:</u> 8x - 11 = 10
<u>Add 11 on both sides:</u> 8x = 21
<u>Divide both sides by 8:</u> x = 21/8
Answer:
We can use the Pythagorean theorem and properties of sines, cosines, and tangents to solve the triangle, that is, to find unknown parts in terms of known parts.
Step-by-step explanation:
Pythagorean theorem: a2 + b2 = c2.
Sines: sin A = a/c, sin B = b/c.
Cosines: cos A = b/c, cos B = a/c.
Tangents: tan A = a/b, tan B = b/a.
Answer:
0.635
Step-by-step explanation:
The answer is 16. To solve this problem, it will look like this:
5 n + n = 24
So, 6(4) = 24. n=4
With this equation, you can see that 4 kids walk to school and 20 take the bus. Then you need to do 20 - 4 = 16. So 16 more kids take the bus than walk to school.
Another way to look at it...
We know there are 5 times as many bus kids as there are walkers.
walkers - n
bus kids - n+n+n+n+n
6n = 24 (the total number of students), which can translate to 6 x n = 24. We know that 6x4=24, so n=4. The number of kids that walk is 4. The number of kids on the bus is 20. So subtract the bus kids from the walking kids, and that leaves us the answer. 16 more students ride the bus than those who walk. I hope that helped.
