Answer:
y = -2x -1
Step-by-step explanation:
slope intercept form is y = mx +b
m = slope, b = y intercept
point is given as ordered pair (x,y)
plug in slope into y=......
y= -2x+b
plug in the point
3 = -2 * (-2) + b
3= 4 +b subtract 4 on each side
b = -1
y = -2x -1
That's about as much as you can simplify this problem.
I hope this helps! :)
Answer:
f(1) = 3
Step-by-step explanation:
f(t) = t² - 1t + 3
we want to find f(1)
all we have to do is replace the t's with 1 and evaluate
f(1) = (1)² - 1(1) + 3
evaluate exponent 1² = 1
f(1) = 1 - 1(1) + 3
multiply
f(1) = 1 - 1 + 3
subtract
f(1) = 3
First you would have to turn the mixed number into a improper fraction. to do that you would have to multiply the denominator by the 1 (which is the whole number) to get 3*1=3 then you would have to add the numerator to get 3+2=5. now you have an improper fraction which is now 5/3. you always keep the denominator the same. next you have to multiply the two fractions you now have. which is 5 over 3 and 3 over 4 . all you have to do is multiply across to get 5*3=15 on the top and 3*4=12 on the bottom. so your new fraction you have is 15/12. that's an improper fraction so you would have to divide 12 by 15. you know 12 goes into 15 one time with a remainder of 3. so now you have 1 3/12 as your answer. but your not done yet. now you have to simplify your answer by dividing the numerator and denominator by 3 to get 3/3=1 and 12/3=4, you final answer should be 1 1/4 .
Answer:
length is 17 in, width is 20
Step-by-step explanation:
let's shape this as an algebraic equation, where x= the length of one side.
since the width is 3 inches longer than the length, x will be the length and x+3 will be the width.
the perimeter is 74 in, and the perimeter is the added length of all sides. in a rectangle, 2 sides are the length and 2 sides are the width, so:
74 = 2x + 2(x + 3)
let's distribute the 2.
74 = 2x + 2x + 6
now, we combine the x's.
74 = 4x + 6
after this step, subtract 6 from the right to add it to the left side.
68 = 4x
finally, divide both sides by 4.
17 = x
perfect! now that we know the length, we just have to add 3 to find the width.
17 + 3 = 20
