(3x*4+2x^3–5)=(x+4) using synthetic division.

The factor of the expression will be (x + 1) and (x + 1). Then the product of two binomials will be (x + 1) and (x + 1).

It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.

The expression is given below.

⇒ x² + 2x + 1

Factorize the expression, then the factor of the expression will be

⇒ x² + x +  x + 1

⇒ x(x + 1)x + 1(x + 1)

⇒ (x + 1)(x + 1)

⇒ (x + 1)²

The product of two binomials will be (x + 1) and (x + 1).

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Answer:

hear i attached

hope it helps

Answer:

B. 77%

the students that studied in the 4-5 hour range scored in the 70s. the ones that studied in the 6 hour range scored in the 80s.

I'd put 5 1/2 hours at around 80%, but the closest answer is the 77%

Answer:

\(f(x) = - 8 \\ \\ - 7x - 1 = - 8 \\ \\ - 7x = - 8 + 1 \\ \\ - 7x = - 7 \\ \\ 7x = 7 \\ \\ x = \frac{7}{7} \\ \\ x = 1\)

It will take approximately 27.53 years for the two funds to be equal.

To solve the problem, we need to set up an equation for the accumulation of each fund over time, and then find when they are equal.

For Fund A, we can use the formula for monthly compounding:

A(t) = \((1 + 0.03/12)^(^1^2^t^)\)

For Fund B, we can use the formula for continuously compounded interest:

\(B(t)=e^\left(\int \delta(t) d t\right)\)\(= e^\left(t^{2 / 20\right)\)

To find when the two funds are equal, we can set the two equations equal to each other and solve for t:

\((1 + 0.03/12)^(^1^2^t^)\) \(= e^\left(t^{2 / 20\right)\)

Taking the natural logarithm of both sides, we get:

12t ln(1 + 0.03/12) = \(t^{2 / 20\right)\)

Multiplying both sides by 20/ln(1 + 0.03/12), we get:

t² = 20/ln(1 + 0.03/12) * 12t

Simplifying, we get:

t = 20/ln(1 + 0.03/12) * 12

Using a calculator, we find that t ≈ 330.33 months. To convert to years, we divide by 12:

T = 330.33/12 ≈ 27.53 years.

Therefore, it will take approximately 27.53 years for the two funds to be equal.

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To locate any intercepts of the given function, we need to plug in 0 for one of the variables and solve for the other variable. So, the function has no x-intercept and its y-intercept is 9.

For the first part of the function (-5x + 9 if x < -1), we can see that it is a linear equation with a negative slope (-5x) and a y-intercept of 9. To find the x-intercept, we plug in 0 for y and solve for x:
0 = -5x + 9
5x = 9
x = 1.8
So the x-intercept for this part of the function is (1.8, 0).
For the second part of the function (9x - 5 if x >= 1), we can again see that it is a linear equation with a positive slope (9x) and a y-intercept of -5. To find the x-intercept, we again plug in 0 for y and solve for x:
0 = 9x - 5
9x = 5
x = 5/9
So the x-intercept for this part of the function is (5/9, 0).
Therefore, the intercepts for the given function are (1.8, 0) and (5/9, 0).

To locate any intercepts of the function, we will first find the x-intercept and the y-intercept.
Function:
-5x + 9 if x < 1
9x - 5 if x ≥ 1
Step 1: Find the x-intercept by setting y (or f(x)) to 0 and solving for x.
For the first part of the function (-5x + 9 if x < 1):
0 = -5x + 9
5x = 9
x = 9/5 = 1.8
For the second part of the function (9x - 5 if x ≥ 1):
0 = 9x - 5
9x = 5
x = 5/9 ≈ 0.56
Since 1.8 is not less than 1 and 0.56 is not greater than or equal to 1, there is no x-intercept for this function.
Step 2: Find the y-intercept by setting x to 0 and solving for y (or f(x)).
For the first part of the function (-5x + 9 if x < 1):
y = -5(0) + 9
y = 9
The y-intercept is 9.
So, the function has no x-intercept and its y-intercept is 9.

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Answer:

Approximate maximum height is 5 ft

\(h(\frac{18}{32} )= 5 \ ft\)

Step-by-step explanation:

\(h(t)=-16t^{2} + 18t\)      ---------- (1)

Differentiate equation (1)  w.r.t t and equate it to zero (in order to determine maxima)

\(h^{'}(t) = -32t+18\)

\(0= -32t+18\)

\(t=\frac{18}{32}\)

Substitute this value in equation (1)

\(h(\frac{18}{32} )=-16(\frac{18}{32} )^{2} + 18(\frac{18}{32} )\)

\(h(\frac{18}{32} )=-5+ 10\)

\(h(\frac{18}{32} )= 5 \ ft\)

In order to determine the volume of the given ball, use the following formula:

where

r: radius = diameter/2 = 6 in/2 = 3 in

replace the previous values of the parameter into the formula for V:

Hence, the volume of the given ball is 36π in^3

(a)The amount of water in the tank is increasing.

(b)Evaluate  \(\int\limits^{18}_0(W(t) - R(t)) dt\) to get the number of gallons of water in the tank at t = 18.

(c)Solve part (b) to get the absolute minimum from the critical points.

(d)The equation can be set up as   \(\int\limits^k_{18}-R(t) dt = 1200\) and solve this equation to find the value of k.

What is the absolute value of a number?

The absolute value of a number is its distance from zero on the number line. It represents the magnitude or size of a real number without considering its sign.

To solve the given problems, we need to integrate the given rates of water flow to determine the amount of water in the tank at various times. Let's go through each part step by step:

a)To determine if the amount of water in the tank is increasing at time t = 15, we need to compare the rate of water being pumped in with the rate of water being removed.

At t = 15, the rate of water being pumped in is given by \(W(t) = 95Vt sin^2(\frac{t}{6})\) gallons per hour. The rate of water being removed is \(R(t) = 275 sin^2(\frac{1}{3})\) gallons per hour.

Evaluate both rates at t = 15 and compare them. If the rate of water being pumped in is greater than the rate of water being removed, then the amount of water in the tank is increasing. Otherwise, it is decreasing.

b) To find the number of gallons of water in the tank at time t = 18, we need to integrate the net rate of water flow from t = 0 to t = 18. The net rate of water flow is given by the difference between the rate of water being pumped in and the rate of water being removed. So the integral to find the total amount of water in the tank at t = 18 is:

\(\int\limits^{18}_0(W(t) - R(t)) dt\)

Evaluate this integral to get the number of gallons of water in the tank at t = 18.

c)To find the time t when the amount of water in the tank is at an absolute minimum, we need to find the minimum of the function that represents the total amount of water in the tank. The total amount of water in the tank is obtained by integrating the net rate of water flow over the interval [0, 18] as mentioned in part b. Find the critical points and determine the absolute minimum from those points.

d. For t > 18, no water is pumped into the tank, but water continues to be removed at the rate R(t) until the tank becomes empty. To find the value of k, we need to set up an equation involving an integral expression that represents the remaining water in the tank after time t = 18. This equation will represent the condition for the tank to become empty.

The equation can be set up as:

\(\int\limits^k_{18}-R(t) dt = 1200\)

Here, k represents the time at which the tank becomes empty, and the integral represents the cumulative removal of water from t = 18 to t = k. Solve this equation to find the value of k.

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Answer: A 231,000

Step-by-step explanation:

Step 1: Multiply a and c

a = 1

c = 20

a * c = 20

Step 2: Find factors of +20 that add up to +9

Factors of 20 = 1, 2, 4, 5, 10, 20

The two factors that add up to 9 are 4 and 5.

Step 3: Factor

(x + 4)(x + 5) = 0

Answer: (x + 4)(x + 5) = 0

Hope this helps!

The point that represent the origin in the number line is Point W

A number line is a horizontal representation of numbers in parts with equal intervals

The numbers in a number line is arranged to be increasing from left to right , hence drawing a number line will have the smaller values to the left of the bigger values at right

number line on -5 to 5 will have the origin at the center and te center here is zero which is similar to p

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The graph of the equation -3x+y=6 is linear and is attached with the answer below.

A linear equation is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

The given linear equation is -3x+y=6. When we plot the linear equation -3x+y=6 on the graph it will be a straight line and the x and y-intercepts are -2 and 6 respectively.

The graph of the linear equation is attached with the answer below.

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Answer: 2

Step-by-step explanation:

Answer:

2...........

Step-by-step explanation:

1 + 1 = 2............

Answer and Step-by-step explanation:

All triangles have a sum of their angles to be 180 degrees. So, to find x, we need to subtract the two given sides from 180 degrees.

180 - 38 - 83 = 59

x = 59 degrees.

#teamtrees #PAW (Plant And Water)

Answer:

3). x > -3 and x <=2

4) x >7 and x < 14

5) x <= -7 or x > = - 4

6) x <= 4 or x >6

7. p < 6 and p >2

6 > p > 2

8. n <= -7 or n > 12

- 7 <= n > 12

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

First, you subtract 4 by 36 which is 32. Then, divide 32 by 8 which equals 4 therefore the answer is 36.

The z-score for P(? ≤ z ≤ ?) = 0.60 is approximately 0.25.

The z-score for P(z ≥ ?) = 0.30 is approximately -0.52.

How to find the Z score

P(Z ≤ z) = 0.60

We can use a standard normal distribution table or a calculator to find that the z-score corresponding to a cumulative probability of 0.60 is approximately 0.25.

Therefore, the z-score for P(? ≤ z ≤ ?) = 0.60 is approximately 0.25.

For the second question:

We want to find the z-score such that the area under the standard normal distribution curve to the right of z is 0.30. In other words:

P(Z ≥ z) = 0.30

Using a standard normal distribution table or calculator, we can find that the z-score corresponding to a cumulative probability of 0.30 is approximately -0.52 (since we want the area to the right of z, we take the negative of the z-score).

Therefore, the z-score for P(z ≥ ?) = 0.30 is approximately -0.52.

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Answer:

E. FD<DE<EF

Step-by-step explanation:

First I needed to find the other angle which I found by adding the two angles that were given.

103 +14 =117

180 - 117= 63

then to find which sides were the longest I looked and the angles and found their corresponding sides.

<D went with side FE

<F went with side DE

<E went with side FD

The smallest angle was <E therefore the smallest side was FD

The middle angle was <F therefore the medium side was DE

The largest angle was <D therefore the smallest side was FE

I hope this helps!!

Please tell me if I have made a mistake enjoy learning from them!!

If I am correct could you please mark me brainliset? I am trying to level up!!

Thank you for your time:)

Answer:

22.05in^2

Step-by-step explanation:

Formula for area of a triangle:

(base × height) / 2

(bh)/2

(12.25 × 3.6)/2

44.1/2

22.05

When finding the area, the units will always be to the second power because we are multiplying them

in × in = in^2

Answer:

Step-by-step explanation:

a. 5x7 = 35 days

b. 12 x 7 = 84 days

c. not sure, its missing the number

The given expression is,

Let the unknown number be x, Let us divide each term by -4, we get,

On cross mutiplying, we get,

Thus, the required number is -0.6.

Answer: 4,879,682

Step-by-step explanation:

Answer:

4,879,682

Step-by-step explanation:

Answer:

\(=\frac{62}{49}\)

Step-by-step explanation:

Given: \(8\frac{6}{7} /7\)

First, convert the mixed fraction to an improper fraction:

\(8\frac{6}{7}\) = \(\frac{62}{7}\)

Then to divide, turn the division sign to a multiplication and turn 7/1 around:

\(\frac{62}{7} *\frac{1}{7}\)

= \(\frac{62}{49}\)

Answer:

62/49

Step-by-step explanation:

To divide a mixed number by a whole number, you need to convert the mixed number into an improper fraction and then divide it by the whole number. What you want to do first is convert 8 6/7 into an improper fraction by multiplying the whole number 8 by the denominator 7 and then adding the numerator 6. This gives you 62/7. Next you want to divide 62/7 by 7 by multiplying 62/7 by the reciprocal of 7, which is 1/7. This gives you (62/7) x (1/7) = 62/49. Now simplify the fraction by dividing both the numerator and denominator by their greatest common factor, which is 1. This gives you 62/49 as the simplest form.

So, 8 6/7 divided by 7 is 62/49.  

Hope this helps :)

Answer:

(D) Side-Angle-Side, SAS

Step-by-step explanation:

The solutions are given by all the values of x greater than 9. Therefore, the answer is x>9

In mathematics, an inequality is a link that compares two numbers or other mathematical expressions in an unfair manner. When comparing the sizes of two numbers on the number line, it is most usually utilized. Various notations are used to denote different types of inequality, including:

The notation for a<b is a is less then b

The notation for a>b is a is greater than b

Both scenarios show that a and b are not equal. An is strictly less than or strictly greater than b in certain connections, which is referred to as a strict inequality. Comparison is excluded.

The steps for solving the given equality is,

We have the following inequality in this instance.

2x - 3 > 15

Adding 3 on both sides of the inequality we get,

2x-3+3>15+3

2x>18

By dividing 2 on both sides of the equality we get,

x>9

The solutions are given by all the values of x greater than 9

Therefore, the answer is x>9

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Answer:

Step-by-step explanation:

The average rate of change of a function over an interval is equal to the total change in the function's output divided by the total change in the input over the interval. In other words, it is the slope of the secant line that connects the two points on the function defined by the interval.

If the function is represented by y = f(x), the average rate of change of the function over the interval [-4, -3] can be calculated as:

Δy / Δx = (f(-3) - f(-4)) / (-3 - (-4))

So, to calculate the average rate of change, you would need to know the values of the function f(x) at x = -3 and x = -4. If you provide the equation for the function f(x), I can help you find the average rate of change.

Answer:

Slower

Step-by-step explanation:

If 100 cans per 20 minutes continues, it would be 200 cans per 40 minutes, which is more than 160 cans per 40 minutes

Answer:

19 orders of tea

57 orders of collee

Step-by-step explanation:

find 1/4 of the 76

76/4=19

multiply by 3

19x3=57