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1 year ago

I need help I’ve been having trouble with this chapter for about a week

Mathematics

1 answer:

Harman [31]1 year ago

5 0

Given:

$3x^2+20x+33$

Find-:

Factorization of the equation.

Sol:

A simple method of factorization is to multiply in first and last order then break it down into parts to make the middle number then.

$\begin{gathered} =3\times33 \\ =99 \end{gathered}$

The factor of 99 is:

So take factor :

$\begin{gathered} 11\text{ and \lparen3}\times3) \\ \\ 11\text{ and 9} \end{gathered}$

Factorization of the equation is:

$\begin{gathered} =3x^2+20x+33 \\ \\ =3x^2+11x+9x+33 \end{gathered}$

You might be interested in

A lawn mower is pushed a distance of 100 ft. Along a horizontal path by a constant force of 60 lbs. Yhe handle of the lawn mower

stira [4]

For this case we have the following equation:
w = F • PQ
Where,
w: work done
F: is the force vector
PQ: is the vector of the direction of movement.
Rewriting the equation we have:
w = || F || • || PQ || costheta
Substituting values:
w = (60) * (100) * (cos (45))
w = (60) * (100) * (root (2) / 2)
w = 4242.640687 lb.ft
Answer:
The work done pushing the lawn mower is:
w = 4242.6 lb.ft

7 0

3 years ago

Michael and his wife are each starting a saving plan. Michael will initially set aside $75 and then add $50.85 every week to the

lana [24]

Answer:

T = 75 + 116.9*N

Step-by-step explanation:

We have that the equation for Michael's savings is:

A = 75 + 50.85*N, where N is the number of weeks

And we have that the equation for his wife's savings is:

B = 65.95*N.

So, to find the total amount saved using both plans combined (T), we have to sum A and B:

T = A + B = 75 + 50.85*N + 65.95*N = 75 + 116.9*N

So the equation that relates T to N is:

T = 75 + 116.9*N

5 0

3 years ago

Read 2 more answers

Solve the following absolute value equations. Show the solution set and check your answers. |0.3-3/5k|-0.4=1.2

9966 [12]

Answer:

**The equation is not clear, so I have provided both options**

<h3><u>Option 1</u></h3>

$\left|0.3-\dfrac{3}{5}k\right|-0.4=1.2$

$\implies \left|0.3-\dfrac{3}{5}k\right|=1.6$

<u>Solution 1</u>

$\implies 0.3-\dfrac{3}{5}k=1.6$

$\implies -\dfrac{3}{5}k=1.3$

$\implies k=-\dfrac{13}{6}$

<u>Solution 2</u>

$\implies -(0.3-\dfrac{3}{5}k)=1.6$

$\implies -0.3+\dfrac{3}{5}k=1.6$

$\implies \dfrac{3}{5}k=1.9$

$\implies k=\dfrac{19}{6}$

<h3><u>Option 2</u></h3>

$\left|0.3-\dfrac{3}{5k}\right|-0.4=1.2$

$\implies \left|0.3-\dfrac{3}{5k}\right|=1.6$

<u>Solution 1</u>

$\implies 0.3-\dfrac{3}{5k}=1.6$

$\implies -\dfrac{3}{5k}=1.3$

$\implies -3=6.5k$

$\implies k=-\dfrac{6}{13}$

<u>Solution 2</u>

$\implies -(0.3-\dfrac{3}{5k})=1.6$

$\implies -0.3+\dfrac{3}{5k}=1.6$

$\implies \dfrac{3}{5k}=1.9$

$\implies 3=9.5k$

$\implies k=\dfrac{6}{19}$

6 0

2 years ago

Sue bought a pair of jeans and a shirt for $55.75. If the jeans cost $25.25, how much did she pay for the shirt?

givi [52]

Hey there!

In order to find the amount that Sue paid for the shirt, all you have to do is subtract the price of the jeans from the total amount that she paid for the jeans and the shirt.

55.75 – 25.25 = 30.5

Sue paid $30.50 for the shirt, making your answer A.

Hope this helped you out! :-)

6 0

3 years ago

Which of the following is a description of the data with a correlation coefficient of 0.9?

aksik [14]

High positive correlation<span>
</span>

3 0

3 years ago