Answer:
A = -10.5
Step-by-step explanation:
To find the value of "A", you can plug x = 2 and f(x) = 3 into the equation. This will allow you to simplify and find the value of "A".
f(x) = 4x³ + Ax² + 7x - 1 <---- Original equation
3 = 4(2)³ + A(2)² + 7(2) - 1 <---- Plug x = 2 and f(x) = 3 into equation
3 = 4(8) + A(4) + 14 - 1 <---- Solve 2³ and 2²
3 = 32 + A(4) + 14 - 1 <---- Multiply 4 and 8
3 = 45 + A(4) <---- Combine like terms
-42 = A(4) <---- Subtract 45 from both sides
-10.5 = A <---- Divide by 4
If A = -10.5, the final equation would look like this:
f(x) = 4x³ - 10.5x² + 7x - 1
RST is not a right triangle.
<h3>What is a Triangle ?</h3>
A Triangle is a polygon with three sides , three angles and three vertices.
It is given in the question that
triangle RST with coordinates R(2, 3), S(4, 4), and T(5, 0)
It has to be determined that if the triangle is a right angled triangle ,
If we plot the triangle on the coordinate plane , it can be easily seen that the triangle is not a right angled triangle ,
It can also be proved by measuring the length of the sides that if the sum of the squares of the sides is equal to the square of the largest side , then it will be a right triangle or not .
To know more about Triangle
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y = 4x + 7
This equation is in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept. The slope of this line is 4. Parallel lines have the same slope, thus a line not parallel to this line will not have a slope of 4. Let's check which of these lines does not have a slope of 4.
y - 4x = 9
y = 9 + 4x (add 4x to both sides)
y = 4x + 9 (switch the constant and x-term)
This line has a slope of 4.
4x - y = 8
-y = 8 - 4x (subtract 4x from both sides)
y = -8 + 4x (divide both sides by -1)
y = 4x - 8 (switch the constant and x-term)
This line has a slope of 4.
4y - x = 8
4y = 8 + x (add x to both sides)
y = 8/4 + x/4 (divide both sides by 4)
y = x/4 + 2 (simplify and switch constant and x-term)
This line has a slope of 1/4. It is thus not parallel to the line y = 4x + 7.
Answer:
4y - x = 8
Wx+yz=bc
minus wx on both sides
yz=bc-wx
dividing 'y' on both sides
Hence,
z=(bc-wx)/y
Here is what you need.
Hope it helped
The answer is 12>x>-7
Step-by-step explanation:
it's first divided into 2 parts
1 . 15 > 2x - 9
2. 2x - 9 > -23
Then solve them individually.
let's do it,
<u>First half</u>
15 > 2x - 9
15+9 > 2x
24 > 2x
24/2 > x
12>x
<u>Second half</u>
2x-9>-23
2x>-23+9
2x>-14
x>-14/2
x>-7
<u>Joining of the two halves</u>
We have :
12>x>-7