What's the common difference of the sequence -5, -2, 1,4,7, ...?

The y-intercept of an equation is where its graph intersects the y-axis - this happens at x = 0; therefore, putting in x =0 should give us the y-intercept.

Putting in x = 0 gives

Hence, the y-intercept is y = -4.

The x-intercept of an equation is where its graph intersects the x-axis - this happens where y = 0; therefore, the x-intercept is found by putting in y =0:

Hence, the x-intercept is x = 2.

The graph is attached below.

The perimeter of a rectangle is the sum of its 4 sides:

Given the word expression:

Triple c, then raise to the 10th power.

Here the exponent of triple c is 10.

To express the above, we have:

Thus, we the expression below:

ANSWER:

The x intercept of a line is where i

The given function is

All quadratic functions represent a parabola. If the quadratic term is positive, the parabola opens up, if the quadratic term is negative, the parabola opens down.

In this case, we observe a positive quadratic term, so the parabola opens up, which means the function has a minimum.

To find the minimum of the function, we need to find its vertex (h,k), where

a = 1 and b = -2.

Then, evaluate the function to find k.

The k-coordinate of the vertex refers to the minimum value.

Therefore, the answer is -6.

EXPLANATION

A special form of average is the Geometric Mean, where we sum the numbers together and then take a square root (for two numbers), cube root (for three numbers), etc.

The geometric mean between 10 and 25 is equal to:

sqrt(10*25)= 15.81

Answer is 5*sqrt(10) or 15.81

Answer: -1 -3/4

Step-by-step explanation:

1.Move terms to the left side

4x^{2}+3=-7x

4x^{2}+3-\left( -7x\right) =0

2.Rearrange terms

4x^{2}+3+7x=0

4x^{2}+7x+3=0

3.Use the quadratic formula

Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.

4x^{2}+7x+3=0

4.Simplify

Evaluate the exponent

Multiply the numbers

Subtract the numbers

Evaluate the square root

Multiply the numbers

-7+1/8

5.Separate the equations

To solve for the unknown variable, separate into two equations: one with a plus and the other with a minus.

x=\frac{-7+1}{8}

x=\frac{-7-1}{8}

6.Solve

Rearrange and isolate the variable to find each solution

x=-\frac{3}{4}

x=-1

In a fraction, we have that the top number is the numerator and the bottom number is the denominator.

Also, in a mixed number, we have a whole number together with a fraction, but the denominator still is the bottom number of the fraction

So the statement of the question is FALSE.

Answer:

welll

Step-by-step explanation:

Well we know theres only gonna be one king and one queen so the outcome can be that the other people will obviously not get to be king or queen and the other people will get jealous (im not really sure if im right sory)

Solution

Note: Equation of a Line os given as

We are given that the slope is -4/5

That is m = -4/5

It has x intercept of 3, that is the point (3, 0)

Substituting we have

The graph of the line is

Total number of drinks sold = 45 + 31 + 47 +27 = 150

Lemonade and ice tea = 45 +27 = 72

Divide the number of lemonades and ice tea drinks sold, by the total number of drinks sold.

72 / 150 = 0.48

Multiply by 100

0.48 x 100 = 48% (option A)

Answer: They are both equal

1 meter = 10 decimeter

We need to convert 100 decimeters to meters

1 meter = 10 decimeter

x meter = 100 decimeter

Cross multiply

x * 10 = 1 x 100

10x = 100

Divide both sides by 10

10x/10 = 100/10

x = 10 meters

Hence, 10 meters is equal to 100 decimeter

Answer: They are both equal

You, Newton, and Descartes walk dogs to earn spending money this summer. You spend 2 times as many minutes walking dogs as Newton. Descartes spends 3 times as many minutes walking dogs as Newton. You, Newton, and Descartes spend 3,030 minutes walking.dogs altogether. How many minutes does Newton walk dogs? ​

Let

x -----> minutes does Newton walk dogs

y ----> minutes does Descartes walk dogs

z ----> minutes does you walk dogs

so

z=2x ------> equation A

y=3x ------> equation B

x+y+z=3,030 ------> equation C

substitute equation A and equation B in equation C

x+(3x)+(2x)=3,030

solve for x

6x=3,030

x=505 minutes

therefore

the answer is

Answer:

[tex]3\, x + (-1)\, y = 1[/tex].

Step-by-step explanation:

Both the slope of this line and the coordinates of a point on this line are given. Therefore, start by finding the point-slope equation of this line: if the slope of a line in a plane is [tex]m[/tex], and this line goes through a point at [tex](x_{0},\, y_{0})[/tex], the point-slope equation of this line will be [tex](y - y_{0}) = m\, (x - x_{0})[/tex].

The slope of the line in this question is [tex]m = 3[/tex]. It is given that this line goes through the point [tex](2,\, 5)[/tex], where [tex]x_{0} = 2[/tex] and [tex]y_{0} = 5[/tex]. Substitute in these values to find the point-slope equation of this line:

[tex](y - y_{0}) = m\, (x - x_{0})[/tex].

[tex](y - 5) = 3\, (x - 2)[/tex].

Rewrite this point-slope equation in the requested format:

[tex]y - 5 = 3\, x - 6[/tex].

[tex]3\, x - 6 = y - 5[/tex].

[tex]3\, x = y + 1[/tex].

[tex]3\, x - y = 1[/tex].

[tex]3\, x + (-1)\, y = 1[/tex].

We have that the distributive property states that the multiplication is done for all the terms inside the parenthesis. Then we have:

Since

3 · 28 = 84

and

3 · □ = 93

Since 3 · 31 = 93, then

□ = 31

In order to determine the time for research, calculate one quarter of the time spend in the project of the company.

Express the time for the project as a normal fraction, as follow:

5 1/3 = 5/1 + 1/3 = (15 + 1)/3 = 16/3

Next, multiply 1/4 (one quarter) by the previous fraction 16/3:

(1/4)·(16/3) = 16/12

simplify the previous fraction:

16/12 = 4/3

as a mixed number the previous result is:

4/3 = 1 1/3

Answer:

- 28

Step-by-step explanation:

-2 + { -3 - [ 7 + 4·( -2 + 5 ) ] } - 4

1)

( -2 + 5 ) = 3

2)

[ 7 + 4·3  ]  = [ 7 + 12 ] = 19

3)

{ -3 - 19 } = - 22

4)

- 2 + ( -22) - 4 = -2 - 22 - 4 = - 28

Answer:

not a real number

Step-by-step explanation:

Non-real numbers are also called imaginary numbers. Imaginary numbers possess an imaginary component, which exists after taking the square root (or any even root) of a negative number

The figure is a combination of a square and a trapezoid;

Thus, we first look for the area of a square using the formula below;

Answer: The area of the square is 6.25 square inches.

Also, we find the area of the trapezoid using the formula below;

Answer: The area of the trapezoid is 20.1 square inches.

Answer: The area of the figure is 26.35 square inches.

Given

And

To find the value of I(x).

Explanation:

It is given that,

Then,

Hence, the answer is I(x)=64x³-32x².

Given the function:

x^2 + 2x - 8

x^2 - 2x - 8

we are to find the zeros of the function.

To find the zero of a function, we find the root of the numerator.

That is, equsting the numerator to zero

x^2 + 2x - 8 = 0

lets get factor of the above eqaution

= x^2 - 2x + 4x + 8

x(x-2) + 4(x-2) = 0

so,

x + 4 = 0 OR x - 2 = 0

x + 4 = 0

x = -4

OR

x - 2 = 0

x = 2

so, x = -4, 2

Therefore the zeros of the function x^2 + 2x - 8 are -4, 2

x^2 - 2x - 8

So, the correct option is D which is -4, 2

Answer:

145

Step-by-step explanation:

168-23 = 145

    i hope this helps :)

The relationship between x and y points is a linear relationship of the form:

y = mx + b

where m is the slope of the line, and b is the coordinate y for the y-intercept.

Now, by definition, we have that the slope of the line is given by:

where (X1,Y1) and (X2,Y2) are given points on the graph.

In our case, we can take

(X1, Y1) =(2,-1)

(X2,Y2) = (3,2)

then, te slope of the line would be:

then m = 3 and the new equation for our graph would be:

y = 3x+b

Now, to find b, take any point (x,y) on the graph. In this case, for example

(x,y) = (3,2) and replace this point in the above equation:

2= 3(3) + b

solve for b:

2-9 = b

then b = -7 and we can conclude that the equation for our graph is:

y = 3x-7

To solve this problem, we must use the formula:

Where:

• A = final amount = ?,

• P = starting amount = $400.00,

• r = interest rate in decimals = 4% = 0.04,

• n = number of times per year that the interest is compounded = 1 (because interest is compounded annually),

• t = time in years = 2.

Replacing the data of the problem in the equation above, we get:

Answer

After 2 years, he will be able to spend $432.64 on the bike.

The height of the object based on the information is 1963 feet.

It should be noted that a function is important to show the relationship between the variables given in the data.

In this case, the function given for the height of the object is given as:

h = 16t² + 1899

where t = time

When the time is 2 seconds, the height will be:

h = 16t² + 1899

h = 16(2)² + 1899

h = 64 + 1899

h = 1963

The height is 1963 feet.

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The value of n will be equal to -7/2 or [tex]-4\frac{1}{2}[/tex].

This question can be solved using the Laws of exponents. We have the expression 1/8 ÷ √2 = 2ⁿ. We can rearrange this expression as follows

1/(8×√2) = 2ⁿ

We can also write this as

1/(2³·2^1/2) = 2ⁿ

From laws of exponents if bases are same then the powers get add up that is

1/(2^7/2) = 2ⁿ

2^-7/2 = 2ⁿ

From laws of exponents, we compare that the bases are same so the powers will also be same. So, we find that n = -7/2 which can be written in improper fraction as [tex]-4\frac{1}{2}[/tex].

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Answer:

0.64285714285

Step-by-step explanation:

6+3=9

9 divided by 2= 4.5

4.5 / 7= 0.64285714285

I don't think this is what you're looking for?

The range of the given data set is 6.

So, the range is:

Instead, just subtract the lowest ratio from the highest ratio as follows:

Therefore, the range of the given data set is 6.

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