Hello!
Answer:
f(x) = 5x + 40
x = -5
Substitute the value of "x" into the equation:
f(-5) = 5(-5) + 40
Simplify:
f(-5) = -25 + 40
f(-5) = 15.
Given the pair of simultaneous equation:
y=-2/5x-2
y=5x+1
To evaluate the solution of the system of equation from the graph, we obtain the point at which the two linear equations have intersected. taking the values of x and y from the point of intersection that will be the solution of the system of linear equations.
In our case the straight lines have intersected at the point (-0.5, -1.75). This implies that:
x=-0.5
y=-1.75
hence the answer is a] (-0.5, -1.75)
The symbol which correctly compares the numbers is <, i.e less than.
Given the expression is ∛27 = 21/5
Mathematicians refer to the process or method of comparing numbers as a way of figuring out if one number is less than, equal to, or higher than another one given their values.
first get the values of the numbers
∛27 = 3×3×3 = 27
hence we get it as 3
now for 21/5 = 4.2
hence the second value is greater than the first value and but as the expression says the first value is less than the second value.
Hence the correct expression is:
3<4.2
Therefore, the symbol which compares the correct form of expression is < that is less than.
Learn more about Comparing expressions here:
brainly.com/question/15602982
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Answer:
<h3>The option C) 15 s is correct</h3><h3>Therefore the maximum height it reaches in <u>15 seconds. </u></h3>
Step-by-step explanation:
Given equation is 
Given that a projectile is thrown upward so that its distance above the ground after t seconds is
<h3>To find how many seconds does it reach its maximum height:</h3>
"The standard form of a parabola's equation is expressed as :
.
If 
, then the parabola opens upwards;
if 
the parabola opens downwards."
The maximum height is the vertex of the parabola which is 
.
Comparing the given equation with the standard form of parabola we get
the values of a=-13 , b=390 and c=0
The maximum height in 
.
Substitute the values we get
<h3>∴ t=15 s</h3><h3>∴ The option C) 15 s is correct.</h3><h3>∴ the maximum height is the vertex of the parabola, at t reaches in 15 seconds. </h3>
The formula of the volume of an oblique cylinder is V =
r²h where
is 3.14, r is the radius of the circular base of the cylinder and h is the height of the cylinder. You are given a slant length and radius of 26 and 10 units. You can get the height by using pythagorean theorem c²=a²+b².
c²=a²+b²
26² = 10² + b²
b = 24
V =
r²h
V =
(10)²(24)
V = 7,540 units³
