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4 years ago

What is the equation of the line that passes through (5, -2) and (-3, 4)?

Mathematics

2 answers:

Alenkasestr [34]4 years ago

8 0

The answer is B hope this helps

Zarrin [17]4 years ago

6 0

The answer is 3x+4y-7=0. The line will have a negative slope.

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8. A substance has a half life of 2.347 minutes.

mina [271]

Answer:

a.) 4 half lives have passed

b) 9.388 minutes

Step-by-step explanation:

Formula for exponential growth / decay is given as:

$A=A_0b^{\frac{t}{c}}$

Where $A$ is the final population

$A_0$ is the initial population

$b$ is the growth factor

$c$ is the time taken for the growth 'b'

$t$ is the amount of time

Here, we are given that:

$A$ = 6. 9 grams

$A_0$ = 110.4 grams

$b = \dfrac{1}{2}$

$c = 2.347$ min

To find:

a.) Number of half lives taken for the decay.

b.) Total time in the decay.

Solution:

a.) Number of half lives taken for the decay is nothing but equal to $\frac{t}{c}$ .

Putting the values in the formula, we get:

$6.9=110.4\times \frac{1}2^{\frac{t}{c}}\\\Rightarrow 6.9=110.4\times 0.5^{\frac{t}{c}}\\\Rightarrow 0.0625=0.5^{\frac{t}{c}}\\\Rightarrow \dfrac{t}{c} =4$

Therefore, the answer is:

<em>4 half lives </em>have passed.

b.) Total time of decay. We have to find the value of $t$ here.

From answer of part a.):

$\dfrac{t}{c} =4\\\Rightarrow \dfrac{t}{2.347} =4\\\Rightarrow t =\bold{9.388\ min}$

7 0

3 years ago

Marya wants to factor the polynomial 36x3 – 22x2 – 144x. Which term can she add to the polynomial that would not change its grea

Dafna11 [192]

Answer:

-50xy and -40x²

Step-by-step explanation:

1) Common factor of the letters: x, x², and x³.

It is the common letter with the lowest exponent: x

2) Common factors of the coefficients (numbers): 36, 22, and 144

i) prime factors of 36: 36 = 2² × 3²

ii) prime factors of 22: 22 = 2 × 11

iii) prime factors of 144: 2⁴ × 3²

iv) Greatest common factor: the repeated number raised to the lowest power: 2.

3) Therefore, the greatest common factor of the terms 36x³ - 22x² - 144x is 2x

4) Any number that has 2x as a factor will not change this common factor.

5) Factors of the choices:

i) –11: 2x is not a factor of - 11, therefore this does not apply

ii) –50xy: 2x is a factor, since - 50xy / (2x) = - 25y, therefore this applies.

iii) –40x²: 2x is a factor, since - 40x² / (2x) = -20x, therefore this applies

iv) 24: 2x is not factor of 24, therefore this does not apply

v) 10y: 2x is not a factor of 10y, therefore this does not apply

4 0

3 years ago

Read 2 more answers

6^7 divided by 6^5 leaving answer in index form

statuscvo [17]

Answer:

6²

Step-by-step explanation:

When dividing terms with exponents, the exponents subtract:

6⁷/6⁵ = 6²

3 0

3 years ago

Read 2 more answers

(3f–3)^2 pls help<br> aaaaaaaaaaaaaaaaaaaa

julia-pushkina [17]

9f^2-18f+9 is the answer

6 0

3 years ago

20, 70, 110, 140, 160, ___ what’s the next sequence?

spin [16.1K]

Answer:

D (i hope)

Step-by-step explanation:

When you minus the highest to the lowest it is added by 10 so

160-140= 20

140-110=30

110-70= 40

70-20= 50

I had added 10 to 160 and got 170

7 0

3 years ago