Strictly speaking, x^2 + 2x + 4 doesn't have solutions; if you want solutions, you must equate <span>x^2 + 2x + 4 to zero:
</span>x^2 + 2x + 4= 0. "Completing the square" seems to be the easiest way to go here:
rewrite x^2 + 2x + 4 as x^2 + 2x + 1^2 - 1^2 = -4, or
(x+1)^2 = -3
or x+1 =i*(plus or minus sqrt(3))
or x = -1 plus or minus i*sqrt(3)
This problem, like any other quadratic equation, has two roots. Note that the fourth possible answer constitutes one part of the two part solution found above.
Answer:
3/2 x +1 = 5/4x - 5
3/2 x+1 =5/4
x−5
Step 1: Subtract 5/4x from both sides.
3/2 x+1−5/4
x=5
4x−5−5/4x
1/4x+1=−5
Step 2: Subtract 1 from both sides.
1/4x+1−1=−5−1
1/4
x=−6
Step 3: Multiply both sides by 4.
4*(1/4x)=(4)*(−6)
x=−24 Mary has 24 shells
Answer:
-x=−24
x = 24 shells
Step-by-step explanation:
1. 2 3/4 x 16 = 44 + 6 = 50 shells x= 16
2 3/4 x 24 = 66 + 6 = 72 x = 24
We see the side workings in bold as if Mary has 24 and Nancy has 1x more
Then Nancy 24+24 = 48 where Gracie 5 x 24 = 120 and we have 72-48 = 24 and 120-72 = 48 being the same as Nancy. You can ignore or check the rest in explanation.
2 3/4 x 18 = 49 1/2 + 6 = 55 1/2 x= 18
2. 2 3/4 x 16 = 44 -4 = 40 shells x = 16 2 3/4 x 24 = 66 - 4 = 62 x = 24
2 3/4 x 18 = 49 1/2 - 4 = 45 1/2 x = 18
3. 2 3/4 x 16 = 44 + 4 = 48 shells x = 16 2 3/4 x 24 = 66 + 4 = 70 x = 24
2 3/4 x 18 = 49 1/2 + 4 =53 1/2 x = 18
The dependent variable is y, that represents the years
Answer:
Kindly check explanation
Step-by-step explanation:
Given :
Years of experience (X) :
1
3
3
5
7
8
10
10
12
12
Annual sales (Y) :
85
97
95
97
105
106
122
120
113
134
The estimated regression equation obtained is :
y = b0 + b1x
b0 = 82.82967
b1 = 3.46061
ŷ = 3.46061X + 82.82967
The change in annual sales for every year of experience is given by the slope value, b1 = 3.46061 = 3.5 (1 decimal place)
The Coefficient of determination R² = 0.8477 = 0.848 ( 3 decimal place).
The Coefficient of determination gives the proportion of explained variance.
About 84.8% percent variation in annual sales can be explained by years of experience of the sales person.
Using the regression equation :
ŷ = 3.46061X + 82.82967
Years of experience, x = 8
ŷ = 3.46061(8) + 82.82967 = 110.514
111 = (to the nearest whole number)
Answer:
<h2>x < - 3</h2>
Step-by-step explanation:
Move 7 to the other side of the inequality
Divide both sides by - 5
Reverse the sign
We have the final answer as
<h3>x < - 3</h3>
Hope this helps you
