Evaluate the function at the specified value of the independent variable and simplify.

1 answer:

3 0

$q(t)=\dfrac{5t^2+6}{t^2}\\\\1.\\q(2)=\dfrac{5\cdot2^2+6}{2^2}=\dfrac{5\cdot4+6}{4}=\dfrac{20+6}{4}=\dfrac{26}{4}=7.5\\\\2.\\q(0)=\dfrac{5\cdot0^2+6}{0^2}=\dfrac{6}{0}-unde fined\\\\3.\\q(-x)=\dfrac{5\cdot(-x)^2+6}{(-x)^2}=\dfrac{5x^2+6}{x^2}$

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The sum of three numbers is 19 two times the first number is increased by six times the second number plus the third number is 1

4vir4ik [10]

Answer:

Step-by-step explanation: x+ y+z=19 ...(1)

2x+6y+z=12 ...(2)

3x+8y+z=-14 ...(3)

(2)-(1) gives

x+5y =-7 ...(4)

(3)-(1) gives

2x+7y= -33 ...(5)

multiply (4) by 2

2x+10y=-14 ...(6)

(6)-(5) gives

3y=19

y=19/3

x+95/3=-7

x=7+95/3=(21+95)/3=116/3

from (1)

116/3+19/3+z=19

(116+19)/3+z=19

135/3+z=19

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z=19-45=-26

5 0

3 years ago

Some help please stuck on 4, 8, 9

bulgar [2K]

4:
a) if a cloud is a mid-level cloud, then it is between 6,500 and 20,000 feet.
b) if a cloud isn't a mid level cloud, then it is not between 6,500 and 20,000 feet. [I don't know if this statement is true]
8:
P=2l+2w
solve for w means to make the equation like w=... (get w on one side by itself).
First, subtract 2l from both sides
P-2l=2w
Now, divide both sides by 2
${P-2l}{2}$ = $W$
Done
9:
*The question is a bit wrong here; it should have said In the corner of the angle ABC there is a little square symbol - that means it is a 90 degree angle.
The angle ABC is broken up into angles ABD and DBC, so ABD and DBC add up to 90 degrees.
So, we can make the equation (2x + 10) + (x + 14) = 90
Then solve
Since it is all addition, the parentheses are unnecessary
2x + 10 + x + 14 = 90
Add all x terms together, and the numbers together
3x + 24 = 90
Subtract 24 from both sides
3x = 66
Divide both sides by 3
x = 22
Now, plug in this x value into the formulas for the two angles
ABD = 2(22) + 10 = 44+10 = 54 degrees
DBC = 22 + 14 = 36 degrees

6 0

3 years ago

Brett has 2/3 of a pound of almonds to divide equally among 4 bags. Find the amount of almonds that will be in each bag. Explain

baherus [9]

Answer:

1/6 of a pound.

Step-by-step explanation:

Write the expression, $\frac{2}{3}$ ÷ 4.