Answer:
3
Step-by-step explanation:
If x-1 is a factor, then x=1 is a solution. So:
0=1³+1k-4
1k=3
k=3 .........
Answer:
<h2>14mph</h2>
Step-by-step explanation:
Given the gas mileage for a certain vehicle modeled by the equation m=−0.05x²+3.5x−49 where x is the speed of the vehicle in mph. In order to determine the speed(s) at which the car gets 9 mpg, we will substitute the value of m = 9 into the modeled equation and calculate x as shown;
m = −0.05x²+3.5x−49
when m= 9
9 = −0.05x²+3.5x−49
−0.05x²+3.5x−49 = 9
0.05x²-3.5x+49 = -9
Multiplying through by 100
5x²+350x−4900 = 900
Dividing through by 5;
x²+70x−980 = 180
x²+70x−980 - 180 = 0
x²+70x−1160 = 0
Using the general formula to get x;
a = 1, b = 70, c = -1160
x = -70±√70²-4(1)(-1160)/2
x = -70±√4900+4640)/2
x = -70±(√4900+4640)/2
x = -70±√9540/2
x = -70±97.7/2
x = -70+97.7/2
x = 27.7/2
x = 13.85mph
x ≈ 14 mph
Hence, the speed(s) at which the car gets 9 mpg to the nearest mph is 14mph
Answer:
1/6
Step-by-step explanation:
Hillary is making a blanket for her mom.
Let the total blanket = 1
Three-fourths of the blanket is green and the rest is yellow.
The fraction for the rest(yellow portion) = 1 - 3/4
The Lowest Common Denominator is 4
Hence,
4 - 3 /4 = 1/4
Two-thirds of the yellow part has her name on it.
The fraction of the blanket that will have her name on it is calculated as
2/3 of 1 /4
= 2/3 × 1/4
= 1/6
90 written as a decimal is 0.9
90 written as a fraction is 9/10
Answer:
The required length is 37.68 cm
Step-by-step explanation:
We have given the radius of which is 3 cm and 
which is 
We will use 
We know the formula for length of arc which is:
length of arc=radius x angle
We will substitute the values given we will get:
Hence, the required length is 37.68 cm
