Sorry, I can't help you as I don't know this
This concept has not came yet in my class that's why I don't know
Answer:
x = 1.47 or x = -7.47
Step-by-step explanation:
x²+6x+9=20
This is a quadratic equation
x²+6x+9-20=0
x²+6x-11=0
Step 1 : Write the quadratic formula
x = <u>-b±√b²-4(a)(c)</u>
2a
Step 2 : Substitute values in the formula
a = 1
b = 6
c = -11
x = <u>-6±√6²-4(1)(-11)</u>
2(1)
x = <u>-6±√80</u>
2
x = -3 + 2√5 or x = -3 - 2√5
x = 1.47 or x = -7.47
!!
We need to use the formula for simple interest which is
I= prt
Where I is the amount of money you earned or pay in interest
p is the principal, the amount you deposited or borrowed
r is the interest rate expressed as a decimal
t is time in terms of years
In this problem, I= 1,680
p= 3000
t= 8
'. r is what we are looking for.
Substituting the numbers into the simple interest formula, we get
I=. p r t
1,680=(3000)(r)(8). Multiplying
1,680= 24,000r Divide both sides by 24,000
0.07= r
So, the percentage is (0.07)(100)= 7%...
Answer:
<em>(-6, 0) and (0, 1.5)</em>
<em></em>
Step-by-step explanation:
The equation of the line in pint slope form is expressed as;
y-y0= m(x-x0)
m is the slope
(x0, y0) is the point on the line
Given
m = 1/4
(x0, y0) = (6,3)
Substitute into the formula;
y - 3 = 1/4(x-6)
4(y-3) = x - 6
4y - 12 = x-6
4y - x = -6+12
4y - x = 6
x = 4y - 6
To get the points to plot, we will find the x and y-intercept of the resulting expression.
For the x-intercept,
at y = 0
x = 4(0) - 6
x = -6
Hence the x-intercept is at (-6, 0)
For the y-intercept,
at x = 0
0 = 4y - 6
4y = 6
y = 6/4
y = 3/2
y = 1.5
Hence the y-intercept is at (0, 1.5)
<em>Hence the required points to plot to get the required line are (-6, 0) and (0, 1.5)</em>
<em></em>
Answer:
y = -2x + 3
Step-by-step explanation:
<u>Step 1: Find out what each part of slope intercept form is</u>
Slope Intercept Form: y = mx + b
<em>m is the slope</em>
<em>b is the y-intercept</em>
<u>Step 2: Plug in the information into the formula</u>
m/slope = -2
b/y-int = 3
<em>y = -2x + 3</em>
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Answer: y = -2x + 3