This is the sketch of the graph of y = (x - 1)(x-3).

a) Write down the coordinates of points A and B.
b) Write down the coordinates of point P.
c) Write down the coordinates of the
turning point Q.

Finding the area under a curve using technology requires knowledge of calculus or a graphing calculator with a built-in integral function.

We can use either method to find the area between the edge of the garden bed and the side of the house.

To find the area between the edge of the garden bed and the side of the house, we need to integrate the function that represents the distance between the two. In this case, the distance between the edge of the garden bed and the side of the house is given by the equation y = x + 1.

To integrate this function, we can use calculus or a graphing calculator with a built-in integral function. Calculus involves finding the antiderivative of the function, while a graphing calculator can use numerical methods to approximate the integral.

If using a graphing calculator, we can graph the function y = x + 1 and then use the integral function to find the area between the curve and the x-axis. The result will be the area between the edge of the garden bed and the side of the house, which can be used to calculate the amount of mulch needed for the job.

Learn more about calculus here:

https://brainly.com/question/6581270

#SPJ4

Answer:

216 in ^2

Step-by-step explanation:

6 time 6 is 36 and 36 times the 6 boxes is 216 therefore your answer is 216in^2

(Answer: 216 in²)

Step-by-step explanation:

Each square is 36in² (6in) (6in)

6 squars are in the shape, so 36in² (6) = 216 in²

Therefore, with a 95% confidence interval, we can estimate the true mean length of the drive shafts to be between 992.16 mm and 1007.84 mm.

The true mean length of the drive shafts can be estimated using a 95% confidence interval. The margin of error is calculated as 2*1.96*2 = 7.84 mm. The lower bound of the confidence interval is 1000 - 7.84 = 992.16 mm and the upper bound is 1000 + 7.84 = 1007.84 mm.

This confidence interval states that there is a 95% probability that the true mean length of the drive shafts falls within the range of 992.16 mm to 1007.84 mm. The relationship between the two probabilities is that the probability of the true mean length falling within the confidence interval is 95%. If the sample size was increased, the margin of error would decrease, resulting in a tighter range and higher probability that the true mean would fall within the confidence interval.
for such more questions on probabilities
https://brainly.com/question/24756209

#SPJ11

Answer:

1 : 3

Step-by-step explanation:

Given

150 : 450 ( divide both parts by 150 )

= 1 : 3

The ratio 150:450 in the form 1:n will be 1 : 3.

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b will be the denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

As per the given ratio, 150:450

150/450 = 15/45 = 1/3 = 1:3

Hence "The ratio 150:450 in the form 1:n will be 1 : 3".

For more information about ratios and proportions,

brainly.com/question/26974513

#SPJ2

Answer:

Add -3 and 7. 4

Step-by-step explanation:

Uh ur welcome

Answer:

4

Step-by-step explanation:

I do it this way whenever there is a  - and a - I just add them but add negative sign. IF like in this problem - and a + I subtract...

Hope this helps :3

The transformation of f(x) to g(x) is g(x) = (x + 6)² + 4

From the question, we have the following parameters that can be used in our computation:

The functions f(x) and g(x)

Where, we have

f(x) = x²

The translation 6 units left and 4 units up means that

g(x) = f(x + 6) + 4

So, we have

g(x) = (x + 6)² + 4

This means that the transformation of f(x) to g(x) is g(x) = (x + 6)² + 4

Read more about transformation at

brainly.com/question/27224272

#SPJ1

While making a perfect square for the given quadratic equation \(\rm x^2+3x+c=\frac{7}{4} +c\) the value of c is 9/4

It is given that the quadratic equation  \(\rm x^2+3x+c=\frac{7}{4} +c\) while forming the perfect square.

It is required to find the value of c.

It is defined as the equation of polynomial of degree two. The standard form of the quadratic equation is as follows:

\(\rm ax^2+bx+c=0\)  where \(\rm a\neq 0\)

We have a quadratic equation:

\(\rm x^2+3x+c=\frac{7}{4} +c\)

We know that we can make any quadratic equation into a perfect square by the perfect square trinomial method as follow:

\(\rm ax^2+bx+c=0\\\rm ax^2+bx=-c\\\rm ax^2+bx+(\frac{b}{2a})^2 =-c+(\frac{b}{2a})^2\\\)

So, the value of 'c' would be:

\(\rm c=(\frac{b}{2a})^2\\\)  here b=3 and a=1 by comparing the equation to the standard equation.

\(c=(\frac{3}{2\times1} )^2\\c=(\frac{3}{2} )^2\\c=\frac{9}{4}\)

Thus,  while making a perfect square for the given equation the value of c is 9/4

Know more about the quadratic equation here:

https://brainly.com/question/2263981

Answer:

9/4

Step-by-step explanation:

correct on edge

The average score of all students, calculated by taking a weighted average based on the number of students in each group, is 38. The overall performance is slightly below the group averages.

The average score of students in the first, second, and third groups are 39, 32, and 43, respectively. There are 24 students in the first group, 26 students in the second group, and 27 students in the third group.

To find the average score of all students, we need to take a weighted average of the scores in each group, with the number of students in each group as the weights.

Here's how to do it: First, we calculate the total number of students:24 + 26 + 27 = 77. Then, we calculate the total score across all students: 39*24 + 32*26 + 43*27 = 936 + 832 + 1161 = 2929

Finally, we divide the total score by the total number of students to get the average score:2929/77 = 38. The average score of all students is 38.

This means that the overall performance of all the students is slightly below the average of the scores in each group.

For more questions on average score

https://brainly.com/question/13832161

#SPJ8

The inequality 3 ≤ x - 2 simplifies to x ≥ 5. This means x can take any value greater than or equal to 5. Therefore, option (E) with a number line from positive 5 to positive 10 is correct.

Given: 3 \(\leq\) x - 2

We need to work out which number line below shows the values that x can take. In order to solve the inequality, we will add 2 to both sides. 3+2 \(\leq\) x - 2+2 5 \(\leq\) x

Now the inequality is in form x \(\geq\) 5. This means that x can take any value greater than or equal to 5. So, the number line going from positive 5 to positive 10 shows the values that x can take.

Therefore, the correct option is (E) A number line going from positive 5 to positive 10.  We added 2 to both sides of the given inequality, which gives us 5 \(\leq\) x. It shows that x can take any value greater than or equal to 5.

Hence, option E is correct.

For more questions on inequality

https://brainly.com/question/30238989

#SPJ8

Based on the information given, the weight will be 31.45 lb.

From the information given, it was stated that an object on the moon weighs about 0.17 of what it would weigh on earth.

Therefore, the weight of 185 pound astronaut on the moon will be:

= 0.17 × 185

= 31.45 lb

Learn more about multiplication on:

https://brainly.com/question/19866443

Factored 25x^2 - 36 as the product of (5x + 6) and (5x - 6). To factor completely 25x^2 - 36, we first note that both 25 and 36 are perfect squares. Specifically, 25 = 5^2 and 36 = 6^2.

Using the difference of squares identity, we can write:

25x^2 - 36 = (5x)^2 - 6^2

Now, we can use the difference of squares formula again to obtain:

25x^2 - 36 = (5x + 6)(5x - 6)

In general, when factoring a quadratic expression of the form ax^2 + bx + c, where a, b, and c are constants, it is helpful to look for common factors or perfect squares first. The difference of squares formula can also be a useful tool in factoring quadratic expressions.

To learn more  about quadratic expressions click here

brainly.com/question/12148335?

#SPJ11

Let that be x

Now

\(\\ \rm\Rrightarrow (x+4+4)^2=625\)

\(\\ \rm\Rrightarrow x+8=25\)

\(\\ \rm\Rrightarrow x=25-8\)

\(\\ \rm\Rrightarrow x=17\)

Option A

Answer:

17 centimetres

A square has all sides similar.

area of square = side²

solve:

(x + 8)² = 625

x + 8 = √625

x + 8 = 25

x = 25 - 8

x = 17

Answer:

Step-by-step explanation:

To solve the given equation \(\sf x - y = 4 \\\), we can perform the following calculations:

a) To find the value of \(\sf 3(x - y) \\\):

\(\sf 3(x - y) = 3 \cdot 4 = 12 \\\)

b) To find the value of \(\sf 6x - 6y \\\):

\(\sf 6x - 6y = 6(x - y) = 6 \cdot 4 = 24 \\\)

c) To find the value of \(\sf y - x \\\):

\(\sf y - x = - (x - y) = -4 \\\)

Therefore:

a) The value of \(\sf 3(x - y) \\\) is 12.

b) The value of \(\sf 6x - 6y \\\) is 24.

c) The value of \(\sf y - x \\\) is -4.

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

28 is 28.11 percent of 99.6

Percentages are expressed in terms of percent  (%)

Let the required value be x. 28 is what percent of 99.6 is expressed as;

28 = x% of 99.6

28 = x/100. * 99.6

Cross multiply

2800 = 99.6x

Divide both sides by 99.6

x = 2800/99.6

x = 28.11

Hence 28 is 28.11 percent of 99.6

Learn more on percentage here: https://brainly.com/question/19247356

#SPJ1

Answer:

Step-by-step explanation:

9a. Yes, because 10/12 = 5/6 (simplified)

9b. yes, because 20wins/24losses = 5/6 (simplified)

9c. no, because 12/13 does not simplify at all

9d. yes, because 15wins/18losses = 5/6

Answer:

i am sorry i don't know the answer

i love you

Step-by-step explanation:

Answer:

The first option.

Explanation:

Since these numbers are given in scientific notation, we must first look at the exponent to determine whether or not it's big or small. Negative exponents are less, so we start with that. Immediately, that eliminates the second and third options as -8 is less than -6 and 3. The last two numbers given in the first and last options, however, both have 3 as the exponent. Now, we look at the number given in front. 2.5 is less than 7, so we know that the first option is in order from least to greatest.

Answer:

(-2,0)

Step-by-step explanation:

Answer:

Step-by-step explanation:

every 1/4 inch equals 17 miles, so every inch is 17x4=68 miles.

68x3=204 miles between city x and y

Answer:

Step-by-step explanation:

-1 3/4 = -1.75.

Answer: -4h-4

Step-by-step explanation: the -4 stays the same, and then it’s just 2h -6h.

The results of a study are said to be replicable when researchers using new subjects come to the same conclusion. Replicability is important in research as it ensures the validity and reliability of the study findings.

The results of a study are said to be replicable when researchers using new subjects come to the same conclusion. Replicability is an important aspect of scientific research because it ensures that the findings are not simply a result of chance or bias. If a study cannot be replicated, it may be difficult to draw firm conclusions or generalize the findings to a broader population. However, it is important to note that replicability does not guarantee that the study is both statistically significant and meaningful.

A study may be replicable but still have limited practical or theoretical value. The p-value and significance level are important measures of statistical significance, but they do not necessarily indicate replicability. Finally, while statistics are knowable, parameters (such as population mean or variance) are typically unknown and must be estimated from the sample data.

To know more about results visit:-

https://brainly.com/question/29024761

#SPJ11

Answer:

y = 2x - 12

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 2, then

y = 2x + c ← is the partial equation

To find c substitute (3, - 6) into the partial equation

- 6 = 6 + c ⇒ c = - 6 - 6 = - 12

y = 2x - 12 ← equation of line

Answer:

y=2x-12

Step-by-step explanation:

slope=m=y-(-6)/x-3

2=y+6/x-3

y+6=2(x-3)

y=2x-12

It will take (V₂ / V₁) number of figure D to fill the volume of figure E.

Since the volume of the figures is not given, let us assume that the volume of figure D is V₁ and that of figure E is V₂. Assume that it takes {x}, figure D to fill figure E. So, we can write the relation as -

V₁ {x} = V₂

{x} = (V₂ / V₁)

So, it will take (V₂ / V₁) number of figure D to fill the volume of figure E.

To solve more questions on volumes, visit the link-

brainly.com/question/11805053

#SPJ1

Answer:

????? what

Step-by-step explanation:

Answer:

what is the question hlp me first plzzzzzzzzzzzzzzz

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

- 9/4 X 4/3

-9 X 1/3 =

-3

I hope this helps! If it does could you please mark me brainliest?

Answer:

B and D

Step-by-step explanation:

3/4 = a/36

4a = 36*3 = 108

a = 108/4 (which is answer choice D) = 27 (which is answer choice B)