Which function models the sequence -5, -7,-9, -11, ...?

Answer:

StartFraction 3 (y minus 5) Over 2 EndFraction

Step-by-step explanation:

First we need to factor all the polynomials here using quadratic equation (-b +/- √(b^2 - 4ac)) / 2a :

* 2y^2 - 6y - 20 = 2(y^2 -3y - 10)

From quadratic equation, solutions are 5 and -2, which means that we can factor this to;

2(y+2)(y-5)

* y^2 + 5y + 6, in the same manner, is found to have solutions -3 and -2, so it can be factored to:

(y+3)(y+2)

* 3y^2 + 18y + 27 = 3(y^2 + 6y + 9)

Again, solving quadratic equation, we find solution to be -3, so we factor this to:

3(y+3)(y+3)

* 4y + 12 equals to 4(y+3)

Now, let's rewrite our polynomials:

2(y+2)(y-5) • 3(y+3)(y+3) / 4(y+3) • (y+3)(y+2)

We see that we can cancel out some factors here (x+3) and (x+2), so we are left with 6(y-5) / 4 which is 3(y-5)/2.

Answer:

Option B, 3(y-5)/2

Step-by-step explanation:

Answer:

The equation of line is y+2=0

Step-by-step explanation:

The equation of line passing through the point [tex](x_{1},y_{1} )[/tex]and having slope  m is

[tex]y-y_{1} = m (x-x_{1}[/tex]

Given slope m=0 and given point is  is (-2,-2)

[tex]y-(-2)=0(x-(-2))[/tex]

[tex]y+2=0[/tex]

therefore equation of the straight line is [tex]y+2=0[/tex]

Therefore the straight is parallel to negative x-axis(y=-2)

Answer:

32

Step-by-step explanation:

you have to divide 224 by 7

[tex]224 \div 7 = 32 \\ [/tex]

Answer:

C. x + 12 = 40

Answer: D. 2(x+12) =40​

Step-by-step explanation:

The Perimeter of a rectangle is calculated by the formula :

P = 2 ( length + width )

Let the width of the rectangle be x , then the perimeter becomes

40 = 2 ( 12 + x )

Answer:

15 and 25

Step-by-step explanation:

the interior angles of a triangle, when added, = 180...so if one angle equals 140, then the other 2 angles have to measure a combined total of 40.

the other 2 angles are in a ratio of 3:5....added = 8

so one angle is 3/8 of 40......3/8 * 40 = 120/8 = 15 <===

the other angle is 5/8 of 40....5/8 * 40 = 200/8 = 25 <==

Final answer:

To find the measures of the other two angles in the triangle, set up a ratio between them: angle 1 is 3x and angle 2 is 5x. Solve the equation and find that the measures of angle 1 and angle 2 are 15° and 25°, respectively.

Explanation:

To find the measures of the other two angles in the triangle, we can set up a ratio between them. Let's call one angle 3x and the other angle 5x. We know that the sum of all three angles in a triangle is 180°. So we can write the equation: 140° + 3x + 5x = 180°.

Simplify the equation: 140° + 8x = 180°.

Subtract 140° from both sides: 8x = 40°.

Divide both sides by 8: x = 5°.

Now we can find the measures of the other two angles: Angle 1 = 3x = 3(5°) = 15°. Angle 2 = 5x = 5(5°) = 25°.

Answer:

-4

Step-by-step explanation:

-4*-4= 16

Answer:

(x + 7)3y = 3xy + 21y

Step-by-step explanation:

Expand the expression in the question by using the distributive property. This means you multiply the term (number) outside the bracket with each of the terms (numbers) inside the bracket.

(x + 7)3y                  Expand this

= (x)(3y) + (7)(3y)            Multiply 3y with x and 7

= 3xy + 21y                 Simplified, final answer

Answer:

The solution is x=7

Step-by-step explanation:

We want to solve for x in the equation

[tex] - 2x + 8 = - 6[/tex]

Subtract 8 from both sides of the equation:

[tex] - 2x + 8 - 8 = - 6 - 8[/tex]

Simplify to get:

[tex] - 2x + 0 = - 14[/tex]

This implies that:

[tex] - 2x = - 14[/tex]

[tex]x = \frac{ - 14}{ - 2} [/tex]

[tex]x = 7[/tex]

Answer:

[tex]234.6\%[/tex]

Step-by-step explanation:

we know that

To convert decimal number  as a percent, multiply the number by 100 (just move the decimal point two places to the right)

we have

[tex]2.346[/tex]

Convert as a percent

Multiply by 100

[tex]2.346(100)=234.6\%[/tex]

Answer:

2x(x - 4)

Step-by-step explanation:

Given

2x² - 8x ← factor out 2x from each term

= 2x(x - 4) ← in factored form

The correct graph representing a reflection of the function f(x) = 6(0.5)^x across the x-axis is one that shows the function decreasing into quadrant 4, crosses the y-axis at (0, -6), and approaches y=0 in quadrant 3, precisely matching the expected transformations due to reflection.

To find the graph that represents a reflection of f(x) = 6(0.5)^x across the x-axis, it's important to understand what reflection across the x-axis entails. Reflecting a function across the x-axis means taking every point (x, y) on the graph of the function and transforming it into a point (x, -y). Thus, for the function f(x) = 6(0.5)^x, this transformation results in a new function g(x) = -6(0.5)^x. This produces a graph where all y-values are the negatives of the original function's y-values.

Among the provided options, the correct representation of this reflection would be: "On a coordinate plane, an exponential function approaches y = 0 in quadrant 3 and decreases into quadrant 4. It goes through (negative 1, negative 3) and crosses the y-axis at (0, negative 6)." This description matches the characteristics of the reflected function by correctly indicating the new y-intercept at (0, -6) and demonstrating the behavior of the function decreasing into quadrant 4 while approaching y=0 in quadrant 3.

Answer:

6

13

1

-7

Step-by-step explanation:

Answer:

AP = 13

Step-by-step explanation:

See the attached figure.

CD = 10 and XY = 24

Line XY bisects and is perpendicular to AB and CD

∴ XY bisects at Y

∴ CY = 0.5 CD = 0.5 * 10 = 5

And from the geometry of the shape

P is the midpoint of XY

∴ XP = YP = 0.5 XY = 0.5 * 24 = 12

XY is perpendicular to CD

∴ ΔPYC is a right triangle at Y

∴ PC (hypotenuse) = [tex]\sqrt{PY^2+YC^2} =\sqrt{12^2+5^2}=\sqrt{144+25} =\sqrt{169} =13[/tex]

From the figure AP = PC = 13

Answer:

What are the answer choices? I'd be happy to help!

Answer:

Step-by-step explanation:

[tex]-7x-3x=-8x-8\\\\-10x=-8x-8\qquad\text{add}\ 8x\ \text{to both sides}\\\\-10x+8x=-8x+8x-8\\\\-2x=-8\qquad\text{divide both sides by (-2)}\\\\\dfrac{-2x}{-2}=\dfrac{-8}{-2}\\\\x=4[/tex]

The circumference of above ground pool is 34.54 feet.

Step-by-step explanation:

Given,

Radius of above ground pool = 5.5 feet

Circumference of a circle is given by 2πr

Circumference of above ground pool = 2πr

r = 5.5, π = 3.14

Circumference of above ground pool = 2*3.14*5.5

Circumference of above ground pool = 34.54 feet

The circumference of above ground pool is 34.54 feet.

Keywords: radius, circumference

Learn more about radius at:

#LearnwithBrainly

Answer:

they bought 6 tickets

Step-by-step explanation:

8.50t+6.50= 57.50 subtract 6.50

8.50t=51 divide 8.50

t=6

Answer:

no solution

Step-by-step explanation:

if you graph these two equations the line would be parallel.

parallel = no solution

intersect = one solution

overlap = infinite amount of solution

Answer:

Look at the photo below for the answer.

:)

Answer: 4

Step-by-step explanation:

Answer:

54.75

Step-by-step explanation:

219 divided by 4. Just plug it into a calculator

Answer:

54¾

Step-by-step explanation:

To start

4 goes in 219 = 54 times

remaining 3

so, writing as mixed fraction we have

219/4 = 54¾

Answer:

To me it looks to be A: UBA/NBG because I can see two right isosceles. Hope this helps!!

To prove Triangle BUN is isosceles with BU = BN using ASA, additional given information is needed to show that UN = NA.

In order to prove that Triangle BUN is isosceles with BU = BN, we need additional given information. To use the ASA (Angle-Side-Angle) congruence criterion, we already have BUN = BNA, but we also need to know that UN = NA. Without this information, we cannot conclude that the triangles are congruent.

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[tex]\text{Simplify:}\\\\(5x+5)-(8x-9)\\\\\text{Distribute the negative to the variables in the parenthesis}\\\\5x+5-8x+9\\\\\text{Combine like terms}\\\\-3x+5+9\\\\\boxed{-3x+14}[/tex]

Answer:

Part a) [tex]y=-2x+4[/tex]

Part b) The coordinates of the point are [tex](\frac{4}{3},\frac{4}{3})[/tex]

Step-by-step explanation:

Part a) Find the equation representing the ladder

we have the ordered pairs

(0,4) and (2,0)

Find the slope

[tex]m=(0-4)/(2-0)=-2[/tex]

Find the equation of the line in slope intercept form

[tex]y=mx+b[/tex]

we have

[tex]m=-2\\b=4[/tex]

substitute

[tex]y=-2x+4[/tex]

Part b) A square box just fits under the ladder.Find the coordinates of the point where the box touches the ladder.

If the box is a square

the x-coordinate of the point where the box touches the ladder must be equal to the y-coordinate

x=y

[tex]y=-2x+4[/tex]

substitute

[tex]x=-2x+4\\3x=4\\x=\frac{4}{3}[/tex]

[tex]y=x=\frac{4}{3}[/tex]

therefore

The coordinates of the point are [tex](\frac{4}{3},\frac{4}{3})[/tex]

Not necessarily.

Step-by-step explanation:

The two triangles can be always congruent if the given parts i.e two sides and an angle are congruent provided that the angle is between the two congruent sides, otherwise the two triangles may not be congruent.

This is known as Side Angle Side condition for congruency.

Other congruency conditions inclue SSS - Side side side i.e all three sides of both triangles are congruent and ASA - Angle Side Angle i.e two angles and their including side of the two triangles are congruent.

Answer:

circumference of a circle [tex]C = 2\pi r=\pi (d)[/tex]

Step-by-step explanation:

Explanation:-

Circumference of a circle having radius is [tex]C = 2\pi r[/tex]

we know that the radius of circle is 'r'

The diameter of a circle is passing through the center of the given circle.

there fore the diameter of circle is equal to the two times of radius of given circle so   d= 2 r

Circumference of a circle having diameter is

[tex]C= 2\pi r = 2r(\pi )[/tex]........(1)

we know that d = 2 r

now the equation (1) is [tex]C= d\pi[/tex]

Therefore The circumference of circle by using diameter is

[tex]C = \pi d[/tex]

Randy has 56 pound blocks of ice for his snow cone stand

Tons of ice is 0.028 tons or [tex]\frac{7}{250} \text{ tons }[/tex]

Solution:

Randy has two 28-pound blocks of ice for his snow cone stand

1). How many pounds of ice does randy have at his snow cone stand?

Calculate the total pounds that Randy has

Total pounds = 2 x 28 = 56

Thus Randy has 56 pound blocks of ice for his snow cone stand

2) How many tons of ice is there?

Total pounds of ice = 56 pounds

So we have to convert 56 pounds to tons

Use the conversion factor

1 pound = 0.0005 ton

Therefore, 56 pounds is equal to,

56 pound = 0.0005 x 56 tons = 0.028 tons

Thus in decimal we got, 0.028 tons

Convert to fraction form,

[tex]0.028 = \frac{0.028}{1000} \times 1000 = \frac{28}{1000} = \frac{7}{250}[/tex]

Thus tons of ice is 0.028 tons or [tex]\frac{7}{250} \text{ tons }[/tex]

Answer:

Step-by-step explanation:

14 - r < 9

Put r = 6 and check inequality:

14 - 6 < 9

8 < 9        TRUE

By substituting r = 6 into the inequality 14 - r < 9, we find that the inequality holds true, indicating that r = 6 is a solution to the inequality.

To determine if r = 6 is a solution to the inequality 14 - r < 9, we simply substitute the value of r into the inequality and check the result.

Substituting r = 6 into the inequality gives us:

14 - 6 < 9

Which simplifies to:

8 < 9

Since 8 is less than 9, the inequality holds true,

which means that r = 6 is indeed a solution to the inequality 14 - r < 9.

Answer:

No, 8 / 2 and 2 / 8 are not equivalent.

Step-by-step explanation:

2 Numbers switched makes a different result.

For example, switching numbers in 82.

As we switch the 8 and the 2, we get 28.

28 is not equivalent to 82.

As we do 8 / 2, when we switch the numbers, we get 2 / 8.

2 / 8 is not equivalent to 8 / 2.

As we solve both equations, 8 / 2 = 4, 2 / 8 = 0.25.

0.25 is not equivalent to 4.

Therefore, 8 / 2 and 2 / 8 are not equivalent.

Hope this helps!

[tex]\text{Hey there!}[/tex]

[tex]\bf{Are\ 8\div2\ and\ 2\div8\ equivalent?}[/tex]

[tex]\text{The answer to this question is \bf{\underline{NO}}}[/tex] [tex]\checkmark[/tex]

[tex]\bf{Reason: because \ 8\div2=4 \ and\ 2\div8 = 0.25. \ So, both\ gives\ you}\\\bf{different\ answers\ and \ NOT\ the\ same\ answers}[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{LoveYourselfFirst:)}[/tex]

Answer:

The yellow table

Step-by-step explanation:

Because when 9+12=21 or 2+6+2+6+5=21

Its most likely going to show the results of the spinner when spun 20 times.

The student's question is a math problem involving consecutive numbers and a basic linear equation. The page numbers of an open book are consecutive, implying the left page is x and the right is x+1. Solving the equation x+(x+1)=333 results in the left page being 166 and the right page 167.

The problem can be approached using the basic concept of consecutive integers in Mathematics. If the total sum of the two page numbers is 333, this means we are dealing with two consecutive numbers (since the left and right page numbers of an open book are always consecutive). Let's represent the left page number as x (unknown at this point). So, the right page number would be x+1 setting up our equation as x+(x+1)=333. Solving this equation will help us find the actual page numbers.

So, the left and right page numbers are 166 and 167 respectively.

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