If I'm not wrong, you must draw a graph for this
y=-2x +2
sub x=-1 ,0 and 1
and do the same for y=x^2-3x
and plot the coordinates
don't worry y=-2x+2 will be a straight line because it's x is to the power of one
and **to find the no. of solutions, refer to ur graph and count the number of point of intersections and that will be ur answer
Hope this helps :)
Answer:
2/9 is the correct option.
Step-by-step explanation:
As the spinner is numbered 2, 4 and 5
The general formula for probability :
P(A) = n(A) / n(S)
n(S) is the number of whole states occur in two spins which is 3 × 3 = 9
n(A) is the event that Rico will get a product of 20.
n(A) = 2 ∵ 4 × 5 and 5 × 4 will bring the product 20.
Therefor, the probability that Rico will get a product of 20 when Rico spins the spinner twice will be:
P(A) = n(A) / n(S)
= 2/9
Therefore, 2/9 is the correct option.
<h3>
Answer: Choice D) 31.2 miles</h3>
This value is approximate.
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Explanation:
Let's focus on the 48 degree angle. This angle combines with angle ABC to form a 90 degree angle. This means angle ABC is 90-48 = 42 degrees. Or in short we can say angle B = 42 when focusing on triangle ABC.
Now let's move to the 17 degree angle. Add on the 90 degree angle and we can see that angle CAB, aka angle A, is 17+90 = 107 degrees.
Based on those two interior angles, angle C must be...
A+B+C = 180
107+42+C = 180
149+C = 180
C = 180-149
C = 31
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To sum things up so far, we have these known properties of triangle ABC
- angle A = 107 degrees
- side c = side AB = 24 miles
- angle B = 42 degrees
- angle C = 31 degrees
Let's use the law of sines to find side b, which is opposite angle B. This will find the length of side AC (which is the distance from the storm to station A).
b/sin(B) = c/sin(C)
b/sin(42) = 24/sin(31)
b = sin(42)*24/sin(31)
b = 31.1804803080182 which is approximate
b = 31.2 miles is the distance from the storm to station A
Make sure your calculator is in degree mode.
Answer:
159
Step-by-step explanation:
35x-1 =-35 plus 34x20
There is actually 2 ways to solve this, I will show you both.
The first is obvious, solve for x in the first one, and plug it into the 2nd one and get the answer
4x + 7 = 12
4x = 5
x = 
8() + 3
2 * 5 + 3
10 + 3
13
The 2nd option is to manipulate the 4x + 7 to be 8x + 3
4x + 7 = 12
start by moving the 7 over
4x = 5
multiply both sides by 2
8x = 10
and add 3 to both sides
8x + 3 = 13
