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notka56 [123]
2 years ago
13

Solve the inequality p/5 < -3

Mathematics
2 answers:
Tema [17]2 years ago
8 0

Answer:

p < - 15

Step-by-step explanation:

Given

\frac{p}{5} < - 3 ( multiply both sides by 5 to clear the fraction )

p < - 15

Irina18 [472]2 years ago
6 0

Answer:

p<-15

Step-by-step explanation:

multiply 5 on BOTH sides

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What is 5 times 5 because i had got it wrong
sergiy2304 [10]

Answer:

25

Step-by-step explanation:

8 0
3 years ago
If f(x)= x2 + 5, and g(x) = 3x - 11, find (g(f(-3)).
fgiga [73]

Answer:

31

Step-by-step explanation:

first find f(-3)

f(-3) = (-3)^2 +5

       = 9+5 = 14

The find g(f(-3) = g(14)

                         = 3*14-11

                           = 42-11

                             =31

6 0
3 years ago
Write the equation of the quadratic function that passes through the points (-1, 1), (1, 5), and (2,10).
Serjik [45]

Answer:

\displaystyle f(x)=x^2+2x+2

Step-by-step explanation:

<u>System Of Linear Equations </u>

In this problem, we'll need to solve a 3x3 system of linear equations because we have three unknowns and three conditions.

We are required to find the equation of the quadratic function that passes through the points (-1, 1), (1, 5), and (2,10)

The general quadratic function can be written as

\displaystyle f(x)=ax^2+bx+c

We need to find the values of a,b, and c. Let's use the first condition, i.e. f(-1)=1

\displaystyle f(-1)=a(-1)^2+b(-1)+c

\displaystyle f(-1)=a-b+c

\displaystyle a-b+c=1.....[eq\ 1]

Now we use the second condition f(1)=5

\displaystyle f(1)=a(1)^2+b(1)+c

\displaystyle f(1)=a+b+c

\displaystyle a+b+c=5.......[eq\ 2]

Finally, we use the third condition f(2)=10

\displaystyle f(2)=a(2)^2+b(2)+c

\displaystyle f(2)=4a+2b+c

\displaystyle 4a+2b+c=10....[eq\ 3]

We put together eq 1, eq 2, and eq 3 to form the system

\displaystyle \left\{\begin{matrix}a-b+c=1\\ a+b+c=5\\ 4a+2b+c=10\end{matrix}\right.

Adding the first two equations we have

\displaystyle 2a+2c=6

\displaystyle a+c=3

And also

\displaystyle b=2

Using the above equation and the value of b in the third equation, we have

\displaystyle \left\{\begin{matrix}a+c=3\\ 4a+c=6\end{matrix}\right.

Subtracting the first equation from the second

\displaystyle 3a=3

\displaystyle a=1

And therefore

\displaystyle c=2

Now we have all the values, the quadratic function is

\displaystyle \boxed{f(x)=x^2+2x+2}

6 0
3 years ago
What is the tangent ratio of angle KJL?
ivann1987 [24]

Answer: (1)

Step-by-step explanation:

Using the properties of a 30 60 90 triangle, we get that ML=24sqrt3 and JM=24.

This means that the tangent is 24sqrt3 / 24.

7 0
2 years ago
Solve for the length of the unknown side.
Akimi4 [234]
Unknown side = square root (100 - 49)
unknown side = square root (51)
unknown side = 7.14
7 0
3 years ago
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