What is the common difference between successive terms in the sequence? 9, 2.5, –4, –10.5, –17, ... –11.5 –6.5 6.5 11.5

Answer:

The y-intercept is 1/3

Step-by-step explanation:

The y-intercept of the function is 1/3 because if u put into form y=mx+b then the b is the y-intercept.

Answer:

1/3

Step-by-step explanation:

For this formula you look at the b value from the formula y = mx + b where in this case b = 1/3

Answer:

y = (x-.5)^2 -12.25

Step-by-step explanation:

first, find the vertex

x from (x,y) = -b/2a

ax^2-bx - c

1x^2-1x -12

-1/2(-1) = -1/-2 - 1/2

(1/2,y) then use x value to find y value

y = 1/2^2 - 1/2 - 12

y = .25 -.5 - 12    = -12.25

(.5,-12.25) input values into this formula:

y = a(x-h)^2 + k where h = x-value and k = y-value. use same a value = 1

y = (x-.5)^2 -12.25

Answer:

The answer is

Step-by-step explanation:

[tex]( {5x}^{7} {y}^{2} )( { - 4x}^{4} {y}^{5} ) = - 20 {x}^{a} {y}^{b} [/tex]

Multiply the terms on the left side of the equation

That's

[tex] - 20 {x}^{11} {y}^{7} = - 20 {x}^{a} {y}^{b} [/tex]

Since the bases are the same we can equate the exponents

That's

[tex] {x}^{11} = {x}^{a} [/tex]

a = 11

And

[tex] {y}^{7} = {y}^{b} [/tex]

b = 11

Therefore

a = 11 and b = 7

Hope this helps you

Answer:

101.58 in

Step-by-step explanation:

The ramp r is the hypotenuse of a right triangle with the ground and 28 in height being the legs.

The angle of elevation 16° is the angle inside the triangle opposite the 28 in height.

Using the sine ratio in the right triangle, then

sin16° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{28}{r}[/tex] ( multiply both sides by r )

r × sin16° = 28 ( divide both sides by sin16° )

r = [tex]\frac{28}{sin16}[/tex] ≈ 101.58 in

Answer:

The 3rd answer

Step-by-step explanation:

Answer:

  [tex]\textbf{A. }4\sqrt{6}[/tex]

Step-by-step explanation:

The hypotenuse of the isosceles right triangle is √2 times the length of one leg, so is 6√2.

The hypotenuse of the 30°-60°-90° right triangle is 2/√3 times the length of the longer leg.

  [tex]x=\dfrac{2}{\sqrt{3}}\cdot 6\sqrt{2}\\\\=\dfrac{(2\sqrt{3})(6\sqrt{2})}{3}\quad\text{rationalize the denominator}\\\\\boxed{x=4\sqrt{6}}[/tex]

Answer:

There you go.

Step-by-step explanation:

Answer:

23,4

Step-by-step explanation:

Answer:

  On a coordinate plane, a v-shaped graph opens up.

Step-by-step explanation:

If you can draw a vertical line that intersects the graph in more than one place, the graph is NOT a function.

It appears your only function is ...

  On a coordinate plane, a v-shaped graph opens up.

Answer:

 On a coordinate plane, a v-shaped graph opens up.

Step-by-step explanation:

Good luck everybody and have a great day :D

Answer:

No.

Step-by-step explanation:

Let's first and try to isolate x.

-2x < 5

(Divide by -2)

x > -5/2 ( < changes to > b/c it was divided by a negative)

x > -2.5

Since x is all values greater than -2.5, -6 is not within those bounds.

Thus, -6 is not a solution to the inequality.

Hope that helps!

Hey there! :)

Answer:

0.3.

Step-by-step explanation:

Looking at the row for "Less than 80° F", the column for "Rain" shows a 0.3 probability in the table. Therefore:

The probability of rain on a day less than 80°F is 0.3.

Answer:

A no, the arcs do not have the same measure

Step-by-step explanation:

The arcs are not congruent,  they would have to have the same measure to be congruent

Answer:

-1, 1

Step-by-step explanation:

what is 1/3 of -3 and 3

Answer:

A

Step-by-step explanation:

There isn’t enough info provided

Answer:

The answer is d

Step-by-step explanation:

The place value of the 8 is 8/1000 or 0.008 or 8 thousandths in 4.328.

The place value of a digit is determined by the position of the digit relative to the decimal point. In a number with a decimal point, the digits to the left of the decimal point represent whole numbers, and the digits to the right of the decimal point represent fractions.

here, we have,

Each place to the right of the decimal point represents a fraction that is one-tenth the size of the place to its left. For example, the hundredth place is one-tenth the size of the tenth place, the thousandth place is one-tenth the size of the hundredth place, and so on.

In the number 4.328, 8 is in the thousandth place, which is the third place to the right of the decimal point.

Thus, the place value of the 8 is 0.008, or 8 thousandths.

Learn more about the place value strategy here:

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Answer:

1 number ans (-3.5,3.5)

2 number ans(5,6)

Step-by-step explanation:

mid point formula is( X 1 + X 2 by 2 , Y1 + Y2 by 2 )

Answer:

C

Step-by-step explanation:

If 5x is a positive odd number, using 1 for x would satisfy this.

So the number of even numbers between 5(1) and 5(1)+6 would be the numbers between 5 and 11.

You have 6, 8, 10 between those numbers that are even

If you chose 3 for x instead:

5(3) and 5(3)+6 ; 15 and 21

These also have 3 even numbers between them, being 16, 18, and 20

There will be 3 even numbers between  5x an 5x+6 , Option C is the correct answer.

An Odd Number is a number which is not divisible by 2.

It is given that

5x is a positive odd number

Every alternate term from the next term of 5x will be an even number

Upto 5x+6 , there will be

5x+1 , 5x+3 , 5x+5

For checking , let x = 1

The number will be 5 , the even number between 5 and 5+6 = 11 is asked

6 , 8 , 10

Therefore there will be 3 even numbers between  5x an 5x+6 , Option C is the correct answer

To know more about Odd Number

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Answer:

5x.

Step-by-step explanation:

The product of 5 and x is the same thing as asking what is 5 times x.

That is 5 * x = 5x.

Hope this helps!

The product of 5 and x in the algebraic expression form is 5x.

In algebraic expressions, "the product of" indicates multiplication. So when we say "the product of 5 and x," it means we want to multiply the number 5 with the variable x.

In algebra, we often use a multiplication symbol (×) to represent multiplication.

However, in algebraic expressions, it's common to omit the multiplication symbol when multiplying a number and a variable. Instead, we write them side by side.

So, the expression "the product of 5 and x" can be written as 5x, where 5 is multiplied by x.

To learn more on Expressions click:

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Answer:

17.5 kg of water.

Step-by-step explanation:

The amount of alcohol in the 15% solution = 20*0.15 =  3kg.

If 3 kg is equivalent to 8% solution

then 100%  is  3*100 / 8 = 37.5 kg.

So the amount of water to be added to make 8% solution = 37.5 - 20

= 17.5 kg.

Answer:

There you go mate!

Step-by-step explanation:

Answer & Step-by-step explanation:

When using piecewise functions, the intervals represents what function will be used when given a certain number. So, let's begin.

For f(-3), we will use the first function because -3 is less than -1.

f(-3) = 7/2 + 2(-3)

f(-3) = 7/2 - 6

f(-3) = -5/2

For f(-1), we will use the first function again because -1 equals -1.

f(-1) = 7/2 + 2(-1)

f(-1) = 7/2 - 2

f(-1) = 3/2

For f(3), we will use the last function because 3 equals 3.

f(3) = 1/4(3)

f(3) = 3/4

Answer:

gradient = 1

Step-by-step explanation:

Calculate the gradient using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (1, 2) and (x₂, y₂ ) = (2, 3)

m = [tex]\frac{3-2}{2-1}[/tex] = 1

Answer:

1

Step-by-step explanation:

the  gradient = difference between coordinate y/difference between coordinate x

(3-2)/(2-1)=1

Answer:6 ÷ 4x = 15

Step-by-step explanation:

six is less than the quotient and quotient mean division, replace a number with a variable and put it with four and the you would put equal 15

Answer:

x=84

Step-by-step explanation:

x÷4-6=15

x÷4=21

x=84

Answer:B

Step-by-step explanation:

Answer:

x12

Step-by-step explanation:

When multipling  numbers that are the same with exponent you can just add the exponents.

so x5*x7=x12

(It would be subtraction if there was division)

Hope this helped you and feel free to ask questions!

Answer:

x^12

Step-by-step explanation:

When multiplying exponents, the rule below is followed.

[tex]x^a * x^b= x^{a+b}[/tex]

Basically, the base remains the same, but the numbers in the exponents are added.

We are given:

[tex]x^5*x^7[/tex]

We leave the base (x)as is, and add the numbers in the exponents (5 and 7).

[tex]x^5*x^7\\[/tex]

[tex]x^{5+7[/tex]

[tex]x^{12}[/tex]

The expression [tex]x^5*x^7\\[/tex] can be simplified as: [tex]x^{12{[/tex]

Answer:

a. A/B = 7/3

b. (p,q) = (4,0)

c. (p,q) = (0,2)

Step-by-step explanation:

We have the line as:

21x-6y-15 = 0

The general form of the equation of a straight line is;

y = mx + c

Where m is the slope and c is the y -intercept

writing the above in this manner, we have

6y = 21x -15

Now let’s divide through by 6;

y = 21x/6 -15/6

y = 7x/3 -5/3

Since in the general equation of a straight line, the coefficient of x is the slope, this means that our slope is 7/3 which makes A = 7 and B = 3

Considering the equation;

3x + 6y = 12

Expressing in the general form, we have

6y = 12-3x

divide through by 6

y = 12/6 -3x/6

y = 2-0.5x

Now we want to find the x intercept. At the x-intercept, the value of y = 0

Thus 0 = 2-0.5x

0.5x = 2

x = 2/0.5 = 4

so (p,q) = (4,0)

For the y intercept

y = 2-0.5x

Obviously the y intercept here is 2, so the coordinates of the y-intercept here is (0,2) = (p,q)

Answer:

the y intercept is same for both

Step-by-step explanation:

that is the only answer

Answer:

Last 2 choices

Step-by-step explanation:

Points on the graph:

(-2, 4) and (0, -4)

To find b, using the first point

So the equation for the graph is:

=============

1. The slope is positive. no, it is -4 for both

2. Lines are same, so answer is no

3. yes

4. yes

Answer:

Step-by-step explanation:

It appears from our choices that this is a linear function, a line in the form

y = mx + b

We need to first find the slope. The 3 coordinates are (4, 66), (5, 77), (6, 88).

Using the slope formula twice to make sure this is in fact linear:

and between the next set of coordinates:

Since the slopes are the same, this is in fact linear. Using that slope along with 1 of the points in the point-slope formula for a line:

y - 66 = 11(x - 4) and

y - 66 = 11x - 44 and

y = 11x + 22, choice C.

y = 11x + 22

Answer: B is the correct choice

Step-by-step explanation:

The values are essentially the same. You need to recognize how the symbols in the expressions match up with the symbols on the graph.

The open circle on the right end of the parabola means the function is less than (not including) 2 so <2 for that part.

The solid circle at the left of the line means f(x) includes all the values to the right are greater than or equal to 2 so ≥2 for that part.

Answer:

N^8.

Step-by-step explanation:

[tex]\frac{N^{10}}{N^2}[/tex] = [tex]N^{10 - 2}[/tex] = [tex]N^8[/tex]

Hope this helps!