Answer:
2
Step-by-step explanation:
Given the function
f(x) = x^3 − x + 4 in the interval [1,2]
We are to find the value of x for which f(x) = 7
Substitute f(x) = 7 into the expression as shown!
f(x) = x^3 − x + 4
7 = x^3 − x + 4
x^3 − x + 4 -7 = 0
x^3 − x - 3= 0
x^3 -x = 3
x(x²-1) = 3
x²-1 = 3 and x = 3
x² = 3+1
x² = 4
x = ±√4
x = ±2
Since x lies within the interval, [1,2] hence the value of x is 2
The acute angles in the triangle are 16.6 degrees and 73.4 degrees
<h3>How to determine the acute angles?</h3>
From the question, we have:
Triangle type = Right triangle
Let the acute angles be x and y.
So, we have:
3/4x = 1/4 + 1/6y
Multiply through by 12
9x = 3+ 2y
The sum of acute angles in a right triangle is
x + y = 90
Rewrite as
y = 90 - x
Substitute y = 90 - x in 9x = 3+ 2y
9x = 3+ 2(90 - x)
Open the brackets
9x = 3+ 180 - 2x
Evaluate the like terms
11x = 183
Divide by 11
x = 183/11 = 16.6
Substitute x = 183/11 in y = 90 - x
y = 90 - 183/11
Evaluate
y = 807/11 = 73.4
Hence, the acute angles in the triangle are 16.6 degrees and 73.4 degrees
Read more about acute angles at
brainly.com/question/347922
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The very rich
control the market and decide what industries to invest in or lend money too.
They influence the government so that they don't have to pay very much in
taxes, which would support the nation's infrastructure, & provide jobs. The
middle class works hard to produce products, and also spends money on products,
which helps to make the rich investors even more wealthy. The poor are typically
unable to compete in a capitalist economy (for a number of reasons), &
require public assistance to survive.
So the diagonal of cube
this was a practice act question so her's the answer
look at the cube through one of the faces
you will see the diagonal as the hypotonuse of a triangle
and also a triangle on the floor (look at attachment)
the ,diagonal is 28
a^2+b^2=28^2
a=b since it is a cube
remember that this is a 45,45 triangle so therefor
a=b=x
c=x√2 so
28=x√2
divide both sides by √2
28/(√2)=x
the diagonal on the floor is 28/(√2)
the sides of the triangle form another 45 45 90 triangle with 28/(√2) as hyponuse so
a=b=x
c=x√2=28/(√2)
solve for x
x√2=28/(√2)
divide both sides by √2
same as mujlitply both sides by 1/(√2) so
28/(√2) times 1/(√2)=28/(2)=14
the answer of 1 diagonal is 14 cm
the answer is 14cm
Answer:
the answer is D just did the test and got it right :]
Step-by-step explanation: