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2 years ago

Evaluate f+g^2-3g if f= 5 and g=2

Mathematics

2 answers:

timama [110]2 years ago

4 0

Answer:

Step-by-step explanation:

f + $g^{2}$ - 3g

= 5 + $2^{2}$ - 3 * 2

= 5 + 4 - 3 * 2

= 5 + 4 - 6

= 9 - 6

= 3

Lady_Fox [76]2 years ago

3 0

Answer:

The answer world be 3.

Step-by-step explanation:

5 + 2² - 3(2) = 3

You might be interested in

-7d>105 what is the solution?

Jet001 [13]

Answer:

d <-15

In interval notation

(-∞,-15)

Step-by-step explanation:

-7d>105

Divide each side by -7. remembering to flip the inequality

-7d/-7 < 105/-7

d <-15

3 0

3 years ago

Read 2 more answers

In the figure above, PQRS is a circle. If PQT and SRT are straight lines, find the value of x.

Elena L [17]

Given:

PQRS is a circle, PQT and SRT are straight lines.

To find:

The value of x.

Solution:

Since PQRS is a circle, PQT and SRT are straight lines, therefore, PQRS isa cyclic quadrilateral.

We know that, sum of opposite angles of a cyclic quadrilateral is 180 degrees.

$m\angle SPQ+m\angle QRS=180^\circ$

$81^\circ+m\angle QRS=180^\circ$

$m\angle QRS=180^\circ-81^\circ$

$m\angle QRS=99^\circ$

Now, SRT is a straight line.

$m\angle QRT+m\angle QRS=180^\circ$ (Linear pair)

$m\angle QRT+99^\circ=180^\circ$

$m\angle QRT=180^\circ-99^\circ$

$m\angle QRT=81^\circ$ ...(i)

According to the Exterior angle theorem, in a triangle the measure of an exterior angle is equal the sum of the opposite interior angles.

Using exterior angle theorem in triangle QRT, we get

$m\angle PQR=m\angle QRT+m\angle QTR$

$x=81^\circ+22^\circ$

$x=103^\circ$

Therefore, the value of x is 103 degrees.

4 0

3 years ago

Show work please \sqrt(x+12)-\sqrt(2x+1)=1

Nesterboy [21]

Answer:

$x=4$

Step-by-step explanation:

Given $\displaystyle\\\sqrt{x+12}-\sqrt{2x+1}=1$ , start by squaring both sides to work towards isolating $x$ :

$\displaystyle\\\left(\sqrt{x+12}-\sqrt{2x+1}\right)^2=\left(1\right)^2$

Recall $(a-b)^2=a^2-2ab+b^2$ and $\sqrt{a}\cdot \sqrt{b}=\sqrt{a\cdot b}$ :

$\displaystyle\\\left(\sqrt{x+12}-\sqrt{2x+1}\right)^2=\left(1\right)^2\\\implies x+12-2\sqrt{(x+12)(2x+1)}+2x+1=1$

Isolate the radical:

$\displaystyle\\x+12-2\sqrt{(x+12)(2x+1)}+2x+1=1\\\implies -2\sqrt{(x+12)(2x+1)}=-3x-12\\\implies \sqrt{(x+12)(2x+1)}=\frac{-3x-12}{-2}$

Square both sides:

$\displaystyle\\(x+12)(2x+1)=\left(\frac{-3x-12}{-2}\right)^2$

Expand using FOIL and $(a+b)^2=a^2+2ab+b^2$ :

$\displaystyle\\2x^2+25x+12=\frac{9}{4}x^2+18x+36$

Move everything to one side to get a quadratic:

$\displaystyle-\frac{1}{4}x^2+7x-24=0$

Solving using the quadratic formula:

A quadratic in $ax^2+bx+c$ has real solutions $\displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$ . In $\displaystyle-\frac{1}{4}x^2+7x-24$ , assign values:

$\displaystyle \\a=-\frac{1}{4}\\b=7\\c=-24$

Solving yields:

$\displaystyle\\x=\frac{-7\pm \sqrt{7^2-4\left(-\frac{1}{4}\right)\left(-24\right)}}{2\left(-\frac{1}{4}\right)}\\\\x=\frac{-7\pm \sqrt{25}}{-\frac{1}{2}}\\\\\begin{cases}x=\frac{-7+5}{-0.5}=\frac{-2}{-0.5}=\boxed{4}\\x=\frac{-7-5}{-0.5}=\frac{-12}{-0.5}=24 \:(\text{Extraneous})\end{cases}$

Only $x=4$ works when plugged in the original equation. Therefore, $x=24$ is extraneous and the only solution is $\boxed{x=4}$

4 0

2 years ago

Please help me with this question.

Stels [109]

Step-by-step explanation:

Mean of the origibal set = 20

No. of terms = 10

Sum = Mean x No. of terms

= 20 x 10 = 200

The sum of additional numbers to make the new set of observstion is 4 + 8 + 12...... + 40 = 220

New Sum = 200 + 220 = 420

The no of terms stay the same

New Mean = New Sum/ N

= 420/10

= 42

7 0

2 years ago

Please explain your answer as well, THANKS!!!

dusya [7]

Answer:

11,232,000

Step-by-step explanation:

The key to this problem is knowing "repetition is NOT ALLOWED".

For the first 3 letters slot:

For the 1st slot, we can pick any of the 26 alphabets

For the 2nd slot, we can pick any of the 25 remaining alphabets (since 1 is already taken)

For the 3rd slot, we can pick any of the 24 remaining letters (since 2 is already taken)

For the three digits slot:

For the 1st slot, we can pick any one of the 10 digits

For the 2nd slot, we can pick any one of the 9 digits left, since 1 is taken already

For the 3rd slot, we can pick any one of the 8 digits left, since 2 is already taken

The number of license plates, thus, would be all of these multiplied together:

26 * 25 * 24 * 10 * 9 * 8 = 11,232,000

7 0

3 years ago