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3 years ago

30 POINTS! PLEASE HELP!

Mathematics

1 answer:

Masteriza [31]3 years ago

8 0

Answer:

y=3x+(-6)

Step-by-step explanation:

y=mx+b

b is the initial condition which means any the point where the slope crosses the y axes.

m is the growth, also known as how much y increases when x increases by 1.

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The rate at which sand is poured into a bag is modeled by the function r given by r(t)=15t−2t2, where r(t) is measured in millil

balu736 [363]

Answer:

35 mililiters

Step-by-step explanation:

Given

$r(t) = 15t - 2t^2$

Required

Accumulated amount from t = 0 to 2

This implies that, we substitute the values of t from 0 to 2 in the function

$r(0) = 15*0 - 2*0^2= 0$

$r(1) = 15*1 - 2*1^2= 13$

$r(2) = 15*2 - 2*2^2= 22$

The accumulated sand (r) is:

$t = r(0) + r(1) + r(2)$

$r = 0 + 13 + 22$

$r = 35$

6 0

3 years ago

What is the factorization of 729x15 1000? (9x5 10)(81x10 – 90x5 100) (9x5 10)(81x5 – 90x10 100) (9x3 10)(81x6 – 90x6 100) (9x3 1

Rudiy27

The factors of the equation are $\rm (9x^4+10)(81x^{10} -90x^5 + 100)$ .

Given

Equation; $\rm 729x^{15 }+ 1000$ .

<h3>What is the Factor Theorem?</h3>

The Factor Theorem states that a polynomial function with roots is given by:

$\rm a(x-x_1)(x-x_2)......$

Where a is the leading coefficient.

The factors of the equation are;

$\rm (9x^5 + 10)(81x^{10} -90x^5 + 100)\\\\ 729x^{15}-810x^{10}+900x^5+810x^{10}-900x^5+1000\\\\9x^5(81x^{10} -90x^5 + 100)+10(81x^{10} -90x^5 + 100)\\\\ (9x^4+10)(81x^{10} -90x^5 + 100)$

Hence, the factors of the equation are $\rm (9x^4+10)(81x^{10} -90x^5 + 100)$ .

To know more about factors click the link given below.

brainly.com/question/195124

4 0

3 years ago

What is the quotient of the complex number 4-3i divided by its conjugate?

almond37 [142]

Answer: C. $\frac{7}{25}-\frac{24}{25}i$

Step-by-step explanation:

1. You have the following division:

$\frac{4-3i}{4+3i}$ (As you can see, to find the conjugate of 4-3i you must change the sign between the terms).

2. To solve this division, you must multiply the numerator and the denominator by the conjugate of the denominator, as following:

$=\frac{(4-3i)}{(4+3i)}\frac{(4-3i)}{(4-3i)}=\frac{16-12i-12i+9i^{2}}{16-9i^{2}}$

3. Keeping on mind that $i^{2}=-1$ , you have:

$=\frac{16-12i-12i+9(-1)}{16-9(-1)}$

4. Simplifying:

$=\frac{7-24i}{25}=\frac{7}{25}-\frac{24}{25}i$

5. The result is:

$\frac{7}{25}-\frac{24}{25}i$

3 0

4 years ago

Al's Bakery has a checkbook balance of $1,650. A $700 deposit was made today and will be added to the available balance tomorrow

BigorU [14]

Answer:

20jsbdbdhsnebbjiw jwjwbsnsnenskssmwme jejwinsjeiidd

7 0

2 years ago

Find the value of x so that the function has the given value.

GuDViN [60]

Answer:

-78

Step-by-step explanation:

-4/5+7;j(x0= -5

-4/5 equals 0.8

0.8 equals 80

-80+7= -73

-73 - -5= -78

X= -78

Please tell me if wrong

3 0

3 years ago