how to write 1/4z-1/3-1/7z^2 in az^2+bz

Step-by-step explanation:

Since the x-intercepts are -20 and 40, the line of symmetry is x = (-20 + 40)/2 = 10.

Now we have y = a(x - 10)² + 30, where a is an unknown constant. We can find a by using an x-intercept point.

=> (0) = a[(40) - 10]² + 30

=> 900a + 30 = 0, a = -1/30.

Hence the rule is y = -(x - 10)²/30 + 30.

Answer:

The degree of the equation is 5.

Step-by-step explanation:

At first we have a 4 polinomyal expressions. Something happens here that in the third step we only have 2 polynomial expressions.

What is occuring? In this case, we just grab two polynomial and try to reduce the expression to a simple expression (And larger) so, we take the first two polynomial expressions:

(2x + 3) * (x² - 1)

In this case, the first term will multiply the first and second term of the second polynomial expression, and after that, the second term of the first polynomial do the same thing with the other two terms:

(2x * x²) + (2x * -1) + (3 * x²) + (3 * -1)

= 2x³ - 2x + 3x² - 3

Now, we apply the same thing with the other two expressions:

(x + 1) * (x - 2)

= (x * x) + (x * -2) + (1 * x) + (1 * -2)

= x² - 2x + x -2

= x² - x - 2

For the last step, we do the same thing, only that in this case is larger cause we have a bigger expression, but the principle is the same. To get a better understanding I will put every operation by line so you won't get confused:

(2x³ - 2x + 3x² - 3) * (x² - x - 2)

= (2x³ * x²) + (2x³ * -x) + (2x³ * -2)

+ (-2x * x²) + (-2x * -x) + (-2x * -2)

+ (3x² * x²) + (3x² * -x) + (3x² * -2)

+ (-3 * x²) + (-3 * -x) + (-3 * -2)

= (2x⁵ - 2x⁴ - 4x³)  

+ (-2x³ + 2x² + 4x)

+ (-3x⁴ - 3x³ - 6x²)

+ (-3x² + 3x + 6)

Simplifying:

The term with the highest exponent will determine the degree of the equation. So the equation is 5th degree.

Hope this helps

Answer:

$700

Step-by-step explanation:

400 x .05=20

20x15=300

300+400=700

Answer:

230

Step-by-step explanation:

Answer:

the ratio would be 9:4 because you just add

Step-by-step explanation:

just add the rstio

Answer:

2√5............or..........4.47214

Answer:

72

Step-by-step explanation:

2x2x13=52

2x2x5=20

52+20=72

Answer: voluntary response sampling

Step-by-step explanation:

Based on the information given in the question, the sampling technique that is being used is the voluntary response sampling.

A voluntary response sampling refers to a sample which is gotten when a researcher tells the members to join a particular sample and then the ones that are interested then joins. Such participants volunteer voluntarily and take part in the research studies and give their opinions on the topic.

Since the student organization at a local college posted a poll on its website and the interested students took part, it is a voluntary response sampling.

Answer:

x = 2

Step-by-step explanation:

We need to write an integer that is 5 more than -3.

Let the integer be x.

So,

x = 5+(-3)

x = 5-3

x = 2

Hence, the required integer be 2.

Answer:

The ratio of students who study French to the students who don’t study French is [tex]\frac{4}{11}[/tex]

Step-by-step explanation:

2/3 of the students study a language. Of those, 2/5 study french:

So the proportion of students who study French is given by:

[tex]\frac{2}{3} \times \frac{2}{5} = \frac{2*2}{3*5} = \frac{4}{15}[/tex]

Proportion of students who dont study French:

[tex]1 - \frac{4}{15} = \frac{15-4}{15} = \frac{11}{15}[/tex]

Ratio of students who study French to the students who don’t study French.

Division of fractions is the multiplication of the numerator by the inverse of the denominator. Ratio of a to b is a divided by b. So

[tex]\frac{\frac{4}{15}}{\frac{11}{15}} = \frac{4}{15} \times \frac{15}{11} = \frac{4}{11}[/tex]

The ratio of students who study French to the students who don’t study French is [tex]\frac{4}{11}[/tex]

Answer:

8 x 17 = 136 give me brainliest

Step-by-step explanation:

Answer:

option d or last one

GOOD LUCK FOR THE FUTURE! :)

Answer:

The answer is cotx=adjacent/opposite

Step-by-step explanation:

I took the test and this is correct!!

Answer:

D. The y-intercept is at (0,2)

Step-by-step explanation:

f(x) = 2^x and g(x)=2f(x) so g(x) = 2(2)^x

In the exponential function ab^x a is the y-intercept (in this case a is 2)

Y-intercept of g(x) at (0,2) which is correct option(D).

A graph can be defined as a pictorial representation or a diagram that represents data or values.

f(x) = 2ˣ

g(x) = 2f(x) = 2(2ˣ)

The y-intercept of g(x) = 2f(x),

Substitute in 0 for x and solve for y

y=2(2⁰)

Anything raised to 0 is 1 .

y=2

Y-intercept in point form.

Hence, y-intercept of g(x) : (0,2)

Learn more about Graph here :

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Answer:

Faces

Step-by-step explanation:

They both have 5 faces each....

Hope it helps!!!

Answer:

Each student receives $70 dollars each.

Step-by-step explanation:

Answer:

id say just try your best or guess

Step-by-step explanation:

ouu try to put it in a calculator but uhm my answer would be a

Answer:

He will earn 2 dollars per year with 40 dollars in his account. the next year he will get 2.1 dollars.

Step-by-step explanation:

Answer:

x = 28

Step-by-step explanation:

x + 40 + 22 = 90      {Complementary angles}

        x + 62 = 90

              x = 90 - 62

              x = 28

Answer:

????

Step-by-step explanation:

because 2^28 = 268,435,456

Answer:

Andrew is incorrect.

Step-by-step explanation:

He is incorrect because instead of multiplying 2 x 28, he should have did 2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2, which is 268,435,456.

I tm pretty sure this is correct, please comment if it is right or wrong

Answer:

An equation is y=-3x+7 (I chose slope-intercept form because they already showed us the slope). When y =13 x=-2

Step-by-step explanation:

plugin 13 for y and subtract 7 from both sides, this lets you get 6=-3x then divide 6 by -3 which makes x=-2

Answer:

The estimated size of the population in 10 days is of 1372 mosquitos.

Step-by-step explanation:

Population after t days:

The population after t days is given by:

[tex]P(t) = P(0)e^{rt}[/tex]

In which P(0) is the initial population and r is the growth rate, as a decimal.

P(0)=574.

So

[tex]P(t) = 574e^{rt}[/tex]

P'(0)=50

[tex]P^{\prime}(t) = 574re^{rt}[/tex]

Since P'(0)=50

[tex]574r = 50[/tex]

[tex]r = \frac{50}{574}[/tex]

[tex]r = 0.0871[/tex]

So

[tex]P(t) = 574e^{0.0871t}[/tex]

Estimate the size of the population in 10 days

This is P(10).

[tex]P(10) = 574e^{0.0871*10} = 1372[/tex]

The estimated size of the population in 10 days is of 1372 mosquitos.

The size of the population of mosquito follows an exponential model.

The size of the population in 10 days is 1370

The given parameters are:

[tex]\mathbf{P(0) = 574}[/tex]

[tex]\mathbf{P'(0) = 50}[/tex]

An exponential function is represented as:

[tex]\mathbf{P(t) = P(0) \times e^r^t}[/tex]

So, we have:

[tex]\mathbf{P(t) = 574 \times e^r^t}[/tex]

Differentiate

[tex]\mathbf{P'(t) = 574r}[/tex]

Substitute 0 for t

[tex]\mathbf{P'(0) = 574r}[/tex]

Substitute [tex]\mathbf{P'(0) = 50}[/tex]

[tex]\mathbf{50 = 574r}[/tex]

Divide both sides by 574

[tex]\mathbf{0.087 = r}[/tex]

So, we have:

[tex]\mathbf{r = 0.087 }[/tex]

The function becomes

[tex]\mathbf{P(t) = 574 \times e^r^t}[/tex]

[tex]\mathbf{P(t) = 574 \times e^{0.087t}}[/tex]

In 10 days, t = 10.

So, we have:

[tex]\mathbf{P(10) = 574 \times e^{0.087 \times 10}}[/tex]

[tex]\mathbf{P(10) = 574 \times e^{0.87}}[/tex]

Solve

[tex]\mathbf{P(10) = 1370}[/tex]

Hence, the size of the population in 10 days is 1370

Read more about exponential functions at:

https://brainly.com/question/11487261

Answer:

After 5 nights they will have read the same number of pages. It would be 27 pages.

Step-by-step explanation:

12+3x=7+4x

12=7+x

5=x

12+3(5)=27

7+4(5)=27

Hope this helps!:)

Answer:

-1 + 2 + 5 + 8 + 11 + 14 + 17 + 20 + 23 + 26

10 terms

sum = 125

Answer:

12 or 13

Step-by-step explanation:

14 labourers complete the job in 3 days.

The ratio is defined as a relationship between two quantities, it is expressed one divided by the other.

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.

Given data as :

It takes 6 labourers 7 days to complete a job,

Amount of work completed by 6 labourers over 7 days  = 1

∵ Six labourers completed part of the work in one day = 1/7

∴ one labourers completed part of the work in one day  = (1/6)(1/7) = 1/42

Let x number of labourers complete the job in 3 days.

x × 3 ×(1/42) = 1

x = 42/3

x = 14

Hence, 14 labourers complete the job in 3 days.

Learn more about the Ratio here :

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Answer:

Reduce the expression, if possible, by eliminating common factors.

Exact form:

1/30

Decimal form:

0.03

Answer:

Polynomial Degree:

6

Leading Term:

x⁶

Leading Coefficient:

1

Answer:

Step-by-step explanation:

hello :

here is an solution