How can I calculate the zeros of x^3+3x^2-4?
I know the answers (x1= -2 and x2= 1) but I need to show why these are the zeros.

9514 1404 393

Answer:

  reasonable range: 0 ≤ y ≤ 5.5

Step-by-step explanation:

Unless the balloons are being launched from a building or the edge of a cliff, we generally expect f(x) ≥ 0. This limits the "reasonable range" to ...

  0 ≤ y ≤ 5.5

Answer:

2 cups of sugar

Step-by-step explanation:

Set up a proportion where x is the amount of sugar for 7.5 flour cups

[tex]\frac{3}{0.8}[/tex] = [tex]\frac{7.5}{x}[/tex]

Cross multiply and solve for x:

3x = 6

x = 2

So, you will need 2 cups of sugar

Answer:

y=[tex]6\sqrt{2}[/tex]

Step-by-step explanation:

[tex]\frac{6}{sin45} =\frac{x}{sin45} \\x=6\\\\y^{2}=6^{2} +6^{2} \\y=\sqrt{72} \\y=6\sqrt{2}[/tex]

Answer:

A,C nd E

Step-by-step explanation:

The three statements are true about the correlation shown by this scatter plot are;

A. The correlation coefficient is approximately 0.96

C. The correlation coefficient is approximately 0.33.

E. The line of best fit cannot be used to make accurate predictions from the data

Correlation of two pairs of data values tells about the degree of movement(along or opposite) that can occur in one of the data values when other data value is increased or decreased respectively.

The correlation coefficient is the degree of association between two quantities in terms of linear relation.

The range of correlation coefficient is -1 to 1

The correlation is -1, then that means  as the one quantity increases, the other quantity decreases (linearly)

We can conclude that the correlation coefficient is approximately 0.96

The correlation coefficient is approximately 0.33.

The line of best fit can't be used to make accurate predictions from the data

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Step-by-step explanation:

Number of bushels after 5 days

= 120 - 5(16.75)

= 36.25 = 36 1/4 bushels.

Answer:

t=18.7

Step-by-step explanation:

After 19.2 year the account reach $45,600.

The cost of borrowing money is called interest, and it is typically stated as a percentage, such as an annual percentage rate (APR). Lenders may charge interest to borrowers for using their funds, or borrowers may charge interest to lenders for using their funds.

We have,

P =$16, 000

R= 5.6%

Future value = $45, 600.

Now, using

16,000 (1 + 5.6%[tex])^x[/tex] = 45,600

(1 + 5.6%[tex])^x[/tex] = 2.85

Taking log on both side we get

x log (1.056) = log (2.85)

x= 19.2

Thus, the time taken is 19.2 years.

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Answer:

I am what's your question?

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Pythagorean Theorem States: [tex]x^{2} +b^{2} = c^{2}[/tex]

[tex]3^{2} + 4^{2} = c^{2}[/tex]

9+16=25

[tex]\sqrt{25}[/tex]=5

Answer:

21.25

Step-by-step explanation:

The sum of all angles in a triangle equals 180°

Since it's an isosceles triangle, the base angles are congruent.

180 = 75 + (2x + 10) + (2x + 10)

180 = 95 + 4x

-95    -95

85 = 4x

x = 21.25

Answer:

I think it's A I'm not sure

Typing this as an actual answer this time smh:

My house is still decorated for christmas

Answer:

im not black, im the opposite

Answer:

25) A 26) B 27) y=-3/5-6 28) y=-15/18+4 29) y=5/4+12 30) y=-4x+3

Step-by-step explanation:

25) the line perpendicular would have the equation of y=-1/4x+b. In A, I plug in those to coordinated and they both have b as equal to -2 so they are both in the same line.

26) Find the slope of those two points (-1). Parallel lines means same slope but different y-intercepts and only B has a slope of -1.

27) Substitute those two points into the formula equation y=mx+b and solve for b

28) Solve for the slope and then solve for b by substituting

29) Write that equation into slope intercept form (y=5/4x-1). Parallel lines has the same slope but different y-intercepts. Use that slope of 5/4 and substitute those coordinates

30) Write the equation into slope intercept form (y=1/4x-5). Perpendicular lines have opposite reciprocal slopes. Find the opposite reciprocal of that slope and then substitute those coordinates

Hopefully I was able to help

Answer:Yes

Step-by-step explanation:

the normal exponential function is ab^x, where a represent the growth( sometimes you don't need this part), b is average rate of growth and x is the number of times we exponate. [tex]-2^{x}[/tex] is a exponetital function because it includes the b and x part. The a part is someetimes used but not always.

A function is a relationship between inputs where each input is related to exactly one output.

An exponential function is a function in the form

y = [tex]a^{x}[/tex]

Where a = constant and x = variable.

y = [tex](-2)^{x}[/tex] is an exponential function.

Where -2 is a constant and x is a variable.

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

y = [tex](-2)^{x}[/tex]

An exponential function is a function in the form

y = [tex]a^{x}[/tex]

Where a = constant and x = variable.

Example:

y = [tex]3^{x}[/tex]

y = [tex]5^{x}[/tex]

We see that,

y = [tex](-2)^{x}[/tex]

-2 is a constant

x is a variable

Thus,

y = [tex](-2)^{x}[/tex] is an exponential function.

Where -2 is a constant and x is a variable.

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Answer:

Answer:

11c−9d−3

Step-by-step explanation:

9c−8d+2c−6−d+3

=9c+−8d+2c+−6+−d+3

=9c+−8d+2c+−6+−d+3

=(9c+2c)+(−8d+−d)+(−6+3)

=11c+−9d+−3

Answer--

=11c−9d−3

Answer:

x = 19.6

Step-by-step explanation:

By applying cosine rule in ΔBCD,

cos(30)° = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

              = [tex]\frac{BC}{BD}[/tex]

[tex]\frac{\sqrt{3}}{2}=\frac{BC}{16}[/tex]

BC = [tex]8\sqrt{3}[/tex]

Now, by applying sine rule in ΔBAC,

sin(45)° = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

[tex]\frac{1}{\sqrt{2}}=\frac{AB}{BC}[/tex]

[tex]\frac{1}{\sqrt{2}}=\frac{x}{8\sqrt{3}}[/tex]

x = [tex]8\sqrt{6}[/tex]

x = 19.59

x ≈ 19.6  

Answer:

C = {-5,2,5} answer

Step-by-step explanation:

ccccccc

Answer:

A.

Step-by-step explanation:

in order for a function to be a function, one input must only have one output.

We see that in option B, -1 has two outputs (10, 18)

In option c, we see that -4 has two outputs (2, -2)

In option D, we see that -3 has two outputs (5, 0)

This means A is the correct option because each input has only one output.

Answer:

A=24m^2

Step-by-step explanation:

to find the area of this figure you can approach it multiple ways, the simplest way is to split it into two rectangles

respectively one 6m by 3m and another 3m by 2m

find the areas of each rectangle and add them both to get the total area of the figure

(6m*3m)+(3m*2m)=(18+6)m^2=24m^2

Answer:

124

Step-by-step explanation:

Cross Multiply

(93x4)/3

Answer:

1/2x = 4 1/2

Where x = Number of servings = 9 servings

Step-by-step explanation:

Mini made a recipe that yields 4 and 1 over 2 cups.

1 recipe = 4 1/2 cups

1 serving = 1/2 cups

1/2 cups = 1 servings

4 1/2 cups = x servings

Cross Multiply

1/2 × x = 4 1/2

x = 4 1/2 ÷ 1/2

x = 9/2 ÷ 1/2

x = 9/2 × 2

x = 9 servings.

Therefore, the expression tha will help Mini to determine the number of servings her recipe will yield is

1/2x = 4 1/2

Where x = Number of servings = 9 servings

Answer:

(0,-5)

Step-by-step explanation:

This is the y intercept I graphed it

Answer:

(0,-5)

Step-by-step explanation:

3y-5x=-15

Add 5x on both sides

3y=5x-15

Divide each side by 3

y=5/3x-5

y=mx+b

b is the y-intercept

b=-5

Therefore (0,-5) is the answer

Answer:

A

Step-by-step explanation:

Answer:

The answer to the question provided is:

[tex]y + 1 = - \frac{6}{13} (x + 8)[/tex]

Step-by-step explanation:

❃Incase you forgot what the point-slope formula is ☟

[tex]y - y_1 = m(x - x_1)[/tex]

❃Incase you also forgot, what the slope formula is ☟

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

➊ First: We are going to be solving for the slope.

[tex]m =  \frac{ - 7 - ( - 1)}{5 - ( - 8)}  =  \frac{ - 6}{ \:  13}  =  - \frac{6}{13} [/tex]

➋Second: Plug in.

[tex]y + 1 = - \frac{6}{13} (x + 8)[/tex]

Answer:

25.6 minutes

Step-by-step explanation: add 11.7 and 2.2 then add 11.7 again

Answer:

The median is 3.2 miles

Step-by-step explanation:

Answer:

2x + 3y = -6

Step-by-step explanation:

The equation of the new line will be identical to that of the given line except that the constant term will differ.

Start with the given 2x + 3y = 3 and replace x with 3 and y with -4.  We get:

2(3) + 3(-4) = C, and C = 6 - 12 = -6

The equation of the new line is therefore 2x + 3y = -6