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3 years ago

We are getting y=1/2x+1. Help!!!

Mathematics

1 answer:

Strike441 [17]3 years ago

6 0

Answer:

x = 0

y = 1

Step-by-step explanation:

I'm on a school laptop so the pic is blocked, i can not seeee.

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Choose one of the factors of x^3 + 343.

Debora [2.8K]

First, note that $343=7^3.$ Then use the formula for the sum of perfect cubes:

$a^3+b^3=(a+b)(a^2-ab+b^2).$

Therefore,

$x^3 + 343=x^3+7^3=(x+7)(x^2-7x+49).$

The quadratic trinomial $x^2-7x+49$ couldn't be factored anymore, so the expression $x^3 + 343$ has two factors $x+7$ and $x^2-7x+49.$

Answer: correct choice is A.

3 0

3 years ago

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!

astra-53 [7]

$\sqrt{5}$

5 0

3 years ago

Your friend, Susannah, manages a sandwich shop. She collects data on the number of turkey sandwiches sold per day for a week. Ex

ExtremeBDS [4]

Susannah's data are illustration of measure of central tendencies

(a) The mean

To calculate the mean, she needs to divide the total number of turkey sandwiches sold, by the number of days.

The total is:

$\mathbf{Total = 73 +88+85+88+99+134+129}$

$\mathbf{Total = 696}$

The number of days is:

$\mathbf{Day = 7}$

So, the mean is:

$\mathbf{Mean =\frac{Total}{Days}}$

$\mathbf{Mean =\frac{696}{7}}$

$\mathbf{Mean =99.4}$

Hence, the mean number of turkey sandwiches sold is 99.4

(b) The median

To calculate the median, she needs to arrange the data in ascending or descending order, then select the middle item.

In ascending order, we have: 73, 85, 88, 88, 99, 129, 134

The middle item is 88

So:

$\mathbf{Median = 88}$

Hence, the median number of turkey sandwiches sold is 88

(c) The mode

This is the data that occurs most.

From the dataset, 88 appears twice (more than others).

So:

$\mathbf{Mode = 88}$

Hence, the mode number of turkey sandwiches sold is 88

(d) The range

This is the difference between the highest and least data

From the dataset,

The highest is 134, and the least is 73

So:

$\mathbf{Range =134 - 73}$

$\mathbf{Range =61}$

Hence, the range of turkey sandwiches sold is 61

The measure that would be most helpful is the median, because it is not affected by outliers.

Read more about measures of central tendencies at:

brainly.com/question/5495004

6 0

3 years ago

The number of bacteria after t hours is given by N(t)=250 e^0.15t a) Find the initial number of bacteria and the rate of growth

Art [367]

Answer:

a) $N_0=250\; k=0.15$

b) 334,858 bacteria

c) 4.67 hours

d) 2 hours

Step-by-step explanation:

a) Initial number of bacteria is the coefficient, that is, 250. And the growth rate is the coefficient besides “t”: 0.15. It’s rate of growth because of its positive sign; when it’s negative, it’s taken as rate of decay.

Another way to see that is the following:

Initial number of bacteria is N(0), which implies $t=0$ . And $N(0)=N_0$ . The process is:

$N(t)=250 e^{0.15t}\\N(0)=250 e^{0.15(0)}\\ N_0=250e^{0}\\N_0=250\cdot1\\ N_0=250$

b) After 2 days means $t=48$ . So, we just replace and operate:

$N(t)=250 e^{0.15t}\\N(48)=250 e^{0.15(48)}\\ N(48)=250e^{7.2}\\N(48)=334,858\;\text{bacteria}$

c) $N(t_1)=4000; \;t_1=?$

$N(t)=250 e^{0.15t}\\4000=250 e^{0.15t_1}\\ \dfrac{4000}{250}= e^{0.15t_1}\\16= e^{0.15t_1}\\ \ln{16}= \ln{e^{0.15t_1}} \\ \ln{16}=0.15t_1 \\ \dfrac{\ln{16}}{0.15}=t_1=4.67\approx 5\;h$