solve the polynomial equation by factoring x^4 + 7x^2 =-10

Answer:

yeah

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

Answer:

18/8= 9/4

Step-by-step explanation:

3x6=18 the denominator is 8 so 8x1 is 8 simplified by 2

hope this helped!

Answer:2 1/4

Step-by-step explanation:

Because I know what it is

The total amount of money earned by Nora salary over the 21 years is approximately $1,848,000.

To find the total amount of money earned by Nora over 21 years, we need to calculate the salary for each year and then sum them up.

In the first year, Nora's salary is $40,000.

In the second year, her salary will be increased by 3%, so it will be:

$40,000 + 3% of $40,000 = $40,000 + $1,200 = $41,200.

In the third year, her salary will again increase by 3%, so it will be:

$41,200 + 3% of $41,200 = $41,200 + $1,236 = $42,436.

We can continue this process for each year, adding 3% of the previous year's salary to calculate the next year's salary.

To calculate the total amount of money earned over the 21 years, we need to sum up the salaries for each year. Here's the calculation:

Total = $40,000 + $41,200 + $42,436 + ... (21 terms)

To simplify the calculation, we can use the formula for the sum of an arithmetic series:

Total = (n/2) * (2a + (n - 1)d)

where:

n = number of terms (21 in this case)

a = first term ($40,000)

d = common difference (3% of the previous year's salary)

Plugging in the values:

Total = (21/2) * [2(40,000) + (21 - 1)(0.03)(40,000)]

Simplifying further:

Total = (21/2) * [80,000 + 20(0.03)(40,000)]

= (21/2) * [80,000 + 2,400(40,000)]

= (21/2) * [80,000 + 96,000]

= (21/2) * 176,000

= 21 * 88,000

= 1,848,000

Therefore, the total amount of money earned by Nora salary over the 21 years is approximately $1,848,000.

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Answer:

I think it's -0.5 so F

Step-by-step explanation:

Answer: x= 1

Step-by-step explanation:

Answer:

174.14 im not sure tho

Step-by-step explanation:

Stefan spend price $110 and made price $60 by selling bicycle and helmet to Jin.

A percentage is a number or ratio that can be expressed as a fraction of 100.

Here, given that,

Selling price of bicycle = $146

Selling price of helmet = $19

Total = 146+19= $165

Let,

x represents the original cost Stefan to buy the bike and helmet.

150% of x = $165

1.5x=$165

Dividing both sides by 1.5

we get ,

x=$110

Stefan bought bicycle and helmet for $110.

Profit made by Stefan = Selling price - buying price

Profit made by Stefan = 165-110= 55

Hence, Stefan spend price $110 and,  made $55 by selling bicycle and helmet to Jin.

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that is true

Step-by-step explanation:

3×3x = 9x

3×7= 21

So 9x + 21

because you cant add a variable to a number that doesnt have the same variablem

Answer:

All real numbers make this equation true, so it is true.

Step-by-step explanation:

3(3x+7)=9x+21 if I were to input 3 as x on both sides, it would equal 48 on each side.

It essentially becomes 3(9+7)=27+21

then 3(16)=48

48+48

This is true for all variables, so the equation must be true

The expression represents a correct solution to the equation 6(x+4)= 20 is x= -2/3

We know, that the equation is:

6(x+4)=20

6x + 24 = 20

Now, Subtract 24 from both sides

6x + 24 = 20

6x + 24-24 = 20-24

Simplify the expression in the equation

6x + 24-24 = 20-40

6x=-4

Divide both sides by the same factor

6x=-4

6x/6 =-4/6

Simplify the expression

Cancels numbers that are both numerators and denominators X=-4/6 X=-2/3

Therefore, the correct solution to the equation is x=-2/3

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Answer:

\(\frac{41}{100}\)

Step-by-step explanation:

It cannot be simplified.

Ex: 50% can be simplified to \(\frac{1}{2}\)

Answer:

A i= 44. B i= 44. C i= 40.

Answer:

C

Step-by-step explanation:

So your total is 15. There are 3 vans, and we want to know how many are on each van.

3 (number of people on each van)=15

Number of people are unknown

3x=15

Divide both sides by 3 to solve for x

x=5

Answer:

\(\sf 4(2x-3)=6x+2 \\ \sf{8x - 12 = 6x + 2} \\ \sf{8x - 6x = 2 + 12} \\ \sf{2x = 14} \\ \sf{x = \frac{14}{2} = 7}\)

The value of x from the given equation expression is; x = 7

We are given the equation;

4(2x - 3) = 6x + 2

The first step is to use distributive property to open the bracket to get;

(4 * 2x) - (4 * 3) = 6x + 2

8x - 12 = 6x + 2

Second step is to use subtraction property of equality to add 12 to both sides to get;

8x - 12 + 12 = 6x + 2 + 12

8x = 6x + 14

8x - 6x = 14

2x = 14

x = 14/2

x = 7

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Answer: Three times x minus y is five times the sum of y and two times x.

Step-by-step explanation:

the given equation is:  (3x-1,y+5)

The left hand side of the equation may be written as: "Three times x minus y."

The right hand side of the equation may be written as: "Five times the sum of y and two times x."

Hence, the correct option is:  

As n grows very large and approaches infinity, the sample mean (X) will approach the population mean (m) of the underlying normal distribution. This convergence of the sample mean to the population mean is a result of the Central Limit Theorem.

According to the Central Limit Theorem, as the sample size increases, the sampling distribution of the sample mean becomes increasingly close to a normal distribution, regardless of the shape of the population distribution. The standard deviation of the sampling distribution is given by s/√n, where s is the standard deviation of the population and n is the sample size.

In this case, since X N(m, s), the sample mean X will follow a normal distribution with mean m and standard deviation s/√n. As n grows larger, the denominator √n increases, resulting in a smaller standard deviation of the sampling distribution.

As n approaches infinity, the variability of the sample mean decreases, and the distribution of the sample mean becomes more concentrated around the population mean. This means that the sample mean becomes a more accurate estimator of the population mean as the sample size increases.

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Answer:

5/7

Step-by-step explanation:

- 3/7 × - 1 2/3 =

[a b/c = ac + b / c]

-3/7 × -5/3 [convert the mixed fraction to an improper fraction in order to multiply the numerator and denominator directly]

=

(-)(-)15/21 =

[2 negatives make a positive]

15/21 =

5/7

a/b × c/d = a × c/b × d = ac/bd

[reduce until the denominator or numerator is prime (only divisible by 1 and itself)]

Answer:

5/7

Step-by-step explanation:

-3/7 x -1  2/3

Convert to improper fraction:

3 x 1 = 3

3 + 2 = 5

-1 2/3 = -5/3

-3/7 x -5/3 = 15/21 = 5/7

Both fractions are negative, so the answer will be positive!

(a) The probability that both John and Jane watch the show is 0.15 or 15% (rounded to 2 decimal places).
(b)The probability that Jane watches the show, given that John does, is 0.3 or 3.

(c) Since these probabilities are equal, John and Jane watch the show independently of each other.

The answer is Yes.

John and Jane watch the show independently of each other if

(a) To find the probability that both John and Jane watch the show, we can use the conditional probability formula:

P(A and B) = P(A|B) * P(B),

where A represents John watching the show and B represents Jane watching the show.
Given, P(A|B) = 0.5 and P(B) = 0.3.
P(A and B) = 0.5 * 0.3 = 0.15.
Therefore, the probability that both John and Jane watch the show is 0.15 or 15% (rounded to 2 decimal places).
(b) To find the probability that Jane watches the show, given that John does, we can use the conditional probability formula: P(B|A) = P(A and B) / P(A).
Given, P(A and B) = 0.15 and P(A) = 0.5.
P(B|A) = 0.15 / 0.5 = 0.3.
Therefore, the probability that Jane watches the show, given that John does, is 0.3 or 30% (rounded to 3 decimal places).
(c) John and Jane watch the show independently of each other if P(A and B) = P(A) * P(B).

In this case, P(A and B) = 0.15 and P(A) * P(B) = 0.5 * 0.3 = 0.15.

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The measure of the sum of the interior angle of the regular polygon is 1620 degrees.

All interior angles in a regular polygon are equal.

For a regular polygon, the sum of the interior angle is expressed as:

Sum of interior angles = ( n - 2 ) × 180°

Where n is the number of sides of the regular polygon.

From the diagram, the polygon has 11 sides.

Number of sides n = 11

Plug n = 11 into the above formula and solve for the sum of the interior angles:

Sum of interior angles = ( n - 2 ) × 180°

Sum of interior angles = ( 11 - 2 ) × 180°

Sum of interior angles = 9 × 180°

Sum of interior angles = 1620°

Therefore, the sum of the interior angles is 1620°

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Answer:

5(9x + 2y + 10)

or

x = 0

y = -5

Step-by-step explanation:

If you are just factoring this, you will factor a 5 out from everything.

5(9x + 2y + 10)

or if you are trying to solve just isolate one of the variables and then substitute it into the original equation

45x + 10y = 50

10y = 50 - 45x

y = 5 - 4.5x

45x + 10(5-4.5x) + 50

45x + 50 - 45x + 50

x=0

45(0) + 10y + 50

0 + 10y + 50

10y + 50

10y = -50

y = -5

and it would be x = 0 and y = -5

Answer:

x= 11/12

Step-by-step explanation:

you have to make 1/3 equivalent to 7/12 so now you get 4/12+7/12= 11/12

Answer:

A.)

Step-by-step explanation:

Answer: C

Step-by-step explanation:

Median is the middle number out of the distribution. Cancel out the numbers at each end of the distribution until you get the median number. You will get 42 cm for Cityview and 40 cm for Countryside, thus making C correct.

Answer: B

Step-by-step explanation:

1/3pie3^2 7

Answer:

4

Step-by-step explanation:

p(3) = 2³ = 8

p(2) = 2² = 4

8-4 = 4

Answer:

that question is written wrong. you cant age the equation. speak to a teacher before answering.

Step-by-step explanation:

Answer:

y = 4x - 2

Step-by-step explanation:

First, let's find the slope of the equation. If you take a look at the table of values, as x goes up by 1, y goes up by 4. This means the slope is 4. To find the y-intercept, look where x = 0. When x = 0, y = -2.

In conclusion, the equation is:

y = 4x - 2

The values of x, y and z that correspond to the critical point of the function f(x,y) 4x2 + 7x + 6y + 2y are  (-7/8, -3/2).

To find the values of x, y, and z that correspond to the critical point of the function f(x, y) = 4x^2 + 7x + 6y + 2y^2, we need to find the partial derivatives with respect to x and y, and then solve for when these partial derivatives are equal to 0.

Step 1: Find the partial derivatives
∂f/∂x = 8x + 7
∂f/∂y = 6 + 4y

Step 2: Set the partial derivatives equal to 0 and solve for x and y
8x + 7 = 0 => x = -7/8
6 + 4y = 0 => y = -3/2

Now, we need to find the value of z using the given equation c = za. Since we do not have any information about c, we cannot determine the value of z. However, we now know the critical point coordinates for the function are (-7/8, -3/2).

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Answer:

0.39

Step-by-step explanation:

because its the rate of change

The equation of trend line will be;

⇒ y = - x/42 + 97.76

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

Use the regression calculator to compare the teams number of home runs with their number of wins. A 2-column table with 9 rows.

Now,

Find the equation of the trend line as;

⇒ Take two points as;

(x, y) = (200, 93) , (158 , 94)

Where, x is labeled H R and y is labeled W.

So, The equation of the trend line;

⇒ y - y₁ = (y₂ - y₁) / (x₂ - x₁) (x - x₁)

⇒ y - 93 = (94 - 93) / (158 - 200)  (x - 200)

⇒ y - 93 = 1 / - 42 (x - 200)

⇒ - 42 (y - 93) = x - 200

⇒ - 42y + 3,906 = x - 200

⇒ - 42y = x - 200 - 3,906

⇒ - 42y = x - 4,106

⇒ y = - x/42 + 97.76

Thus, The equation of trend line will be;

⇒ y = - x/42 + 97.76

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Answer:

y = 40.96

Step-by-step explanation:

Given

4 = \(\frac{y}{10.24}\) ( multiply both sides by 10.24 to clear the fraction )

4 × 10.24 = y , that is

y = 40.96

His dog casts a shadow of 6ft at 6 pm if it casts a 2ft shadow at noon.

A man casts a 3 ft shadow at noon and a 9 ft shadow at 6 pm.

His dog casts a 2 ft shadow at noon.

Therefore we can find the length of shadow casts by his dog at 6 pm as follows:

Length of the shadow of a man at noon/length of the shadow of a man at 6 pm = length of the shadow of his dog at noon/length of the shadow of his dog at 6 pm

⇒3/9 = 2/length of the shadow of his dog at 6 pm

⇒length of the shadow of his dog at 6 pm = (2 × 9)/3

⇒length of the shadow of his dog at 6 pm = 6 ft

Hence, the shadow cast by his dog at 6 pm will be 6 ft.

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