Answer:
x=-1,2,3
Step-by-step explanation:
f(x) = 0 means we want to find where the graph has a y value of 0
In this example, the graph has a y value of 0 when x =-1 and when x = 2 and when x=3
There are 3 solutions to the equation f(x) = 0
Answer:
I believe it's C
Step-by-step explanation:
Answer:
The measure of the smallest angle of the triangle is 40.
Step-by-step explanation:
A right triangle adds up to 180
x+15+2x+90=180
Combine like terms
3x+105=180
Subtract both sides by 105
3x+105=180
-105=-105
___________
3x=75 Divide by 3
x=25
Plug in 25 for x for equation expression
90=90
25+15=40
2(25)=50
Therefore for the smallest angle is 40
Hope this helps
<h3>
Answer: Rs 2500</h3>
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Explanation:
Compute the simple interest on a deposit of x
The per annum (p.a.) interest rate is r = 0.12 from the 12% value mentioned.
We do so over t = 2 years
i = p*r*t
i = x*0.12*2
i = 0.24x
Let A = 0.24x
Do the same for the compound interest. We'll have n = 1 to reflect annual compounding.
i = p*(1+r/n)^(n*t) - p
i = x*(1+0.12/1)^(1*2) - x
i = 1.2544x - x
i = 0.2544x
Let B = 0.2544x
We're told that "The simple interest on a sum of money in 2 years is Rs 36 less than the compound interest compounded annually"
This means the interest earned in the simple interest (value A) is Rs 36 less than the amount earned with quantity B
So,
A = B-36
0.24x = 0.2544x - 36
0.24x - 0.2544x = -36
-0.0144x = -36
x = -36/(-0.0144)
x = 2500
The amount invested or deposited is Rs 2500
Answer:
y = -7x + 33
Step-by-step explanation:
<u>Use the Point Slope Form: (y - y1) = m(x - x1)</u>
<u />
<u>Step 1: Find the Slope</u>
Slope = 
Slope = 
Slope = 
Slope = 
Slope = -7
<u>Step 2: Plug into the point slope form</u>
(y - 5) = -7(x - 4)
y - 5 + 5 = -7x + 28 + 5
y = -7x + 33
Answer: y = -7x + 33
