PLEASE HURRY!!
Which scenario could be represented by this graph?
O
A. Jane lights a candle. The x-axis represents time; the y-axis
represents the height of the candle.
O
B. Jane lights a candle. After 15 minutes, she puts it out. Half an
hour later, she lights it again. The x-axis represents time; the yaxis
represents the height of the candle.
O
C. Jane steadily fills a cup of water, stopping when it is almost full.
The x-axis represents time; the yaxis represents the amount of
water.
O
D. Jane steadily fills a cup of water. After 15 minutes, she dumps it
out. The x-axis represents time; the yaxis represents the amount
of water.​

Answers

Answer 1
The answer to the problem is A
Answer 2
Final answer:

Without the actual graph, it's difficult to precisely match it to the given scenarios. If the graph shows a continuous increase or decrease, it could correspond to options A or C. If the graph displays changes with distinct intervals, it might match with options B or D.

Explanation:

To answer your question about which scenario could be represented by the graph, we need more specific information about the graph. Without the visual graph and only with the given information, it's somewhat complicated to identify an exact match. However, some general presumptions can be made.

If the graph shows a continuous decrease or increase, it could be option A or C. These scenarios talk about a steady decrease (candle-burning) or increase (filling a cup), suggested by the x-axis representing time and y-axis representing a value that changes consistently (height of the candle or amount of water).

However, if the graph shows changes with significant intervals, it could be option B or D. These scenarios show an event that takes place, stops for a while (represented by a straight line on the graph), and then resumes or has an opposite effect ( candle being lighted again, or water being dumped). In all scenarios, the x-axis represents time, while the y-axis represents the scenario's varying condition, whether it's the height of a candle or amount of water.

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Related Questions

A box of seeds contains p packets. Each packet contains s seeds. Which equation can be used to find the number of seeds in a box (b)?
(A) p= sb
(B) p= s/b
(C) b= ps
(D) b= p/s

Answers

Final answer:

The total number of seeds in the box is found by multiplying the number of packets by the number of seeds per packet, yielding the equation b = ps.

Explanation:

The equation we are looking for will help us find the total number of seeds in a box, which we will call b. Since the box has p packets and each packet contains s seeds, we can find the total number of seeds by multiplying the number of packets by the number of seeds in each packet. Therefore, the correct equation to represent this relationship is b = ps, which means the total number of seeds in the box (b) is the product of the number of packets (p) and the number of seeds per packet (s).

there are 527 students enrolled at school 11% are absent today how many students are absent​

Answers

Answer:

About 58 students are absent today.

Step-by-step explanation:

11%=0.11

0.11*527=57.97

5 million, four thousand, three hundered in standard form

Answers

5 million, four thousand, three hundered in standard form is [tex]5.0043 \times 10^{6}[/tex]

Solution:

Need to represent 5 million, four thousand, three hundered in standard form

5 million = 5000000

4 thousand = 4000

3 hundred = 300

5 million, four thousand, three hundred =  5000000 + 4000 + 300 = 5004300

In standard form, decimal comes after first digit and multiply to power of 10 dependency on total digits of number.

In our case, given number is 5004300.

So we need decimal after first and after that multiplying it by appropriate power of 10. So,

[tex]5004300=5.0043 \times 10^{6}[/tex]

Hence [tex]5.0043 \times 10^{6}[/tex] is standard form of 5004300 that is standard form of  5 million, four thousand, three hundred.

Final answer:

The number '5 million, four thousand, three hundred' is written in standard form as 5,004,300. Standard form notation uses commas to split up large numbers into thousands, millions, etc.

Explanation:

The standard form notation for representing numbers is a helpful way to write large or very small numbers in a more compact format. In this case, the number '5 million, four thousand, three hundred' in standard form would be represented as 5,004,300. This combines all the components: millions, thousands, and hundreds into one concise figure.

In standard form, this value is written by placing commas every three digits, starting from the right. So, '5 million' is written as 5,000,000. 'Four thousand' is written as 4,000 and 'three hundred' as 300. When you add these values together, you get 5,004,300.

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Given a square pyramid with a height of 21 feet and a volume of 3969 cubic feet, find the length of one side of the square base.

Answers

Answer:

The length of one side of the square base is 24 feet.

Step-by-step explanation:

Given:

Volume of square pyramid(V) = 3969 cubic feet, and its height(h) = 21 feet.

Now, we need to find the length of one side(a) of the square base.

So. by putting the formula of square pyramid we get our length of one side(a):

[tex]V=a^{2}\frac{h}{3}[/tex]

[tex]3969=a^{2}\times \frac{21}{3}[/tex]

[tex]3969= a^{2}\times 7[/tex]

Dividing both sides by 7 we get:

[tex]567=a^{2}[/tex]

Using square root both sides we get:

[tex]23.81=a[/tex]

a = 24 feet (approximately).

Therefore, the length of one side of the square base is 24 feet.

The length of one side of the square base of the pyramid is approximately 23.8 feet. This was determined using the volume formula for a square pyramid and solving for the side length. The base area and height were key in finding this solution.

To find the length of one side of the square base of the pyramid, we can use the formula for the volume of a square pyramid:

Volume = (1/3) × Base Area × Height

Given:

Volume = 3969 cubic feetHeight = 21 feet

Let the side length of the square base be s feet. The base area of the square is s².

Using the volume formula, we get:

3969 = (1/3) × s² × 21

First, solve for s²:

3969 = 7 × s²

s² = 3969 / 7

s² = 567

Now, take the square root of both sides to find s:

s = √567 ≈ 23.8 feet

Therefore, the length of one side of the square base of the pyramid is approximately 23.8 feet.

Sandra wrote p(x) = 30x + 5x2 in vertex form. Her work is below.

1. p(x) = 5x2 + 30x

2. p(x) = 5(x2 + 6x)

3. (six-halves) squared = 9;

4. p(x) = 5(x2 + 6x + 9) – 5(9)

5. p(x) = 5(x + 3)2 – 45

Describe Sandra’s function.

Answers

Answer:

p(x) = 5(x + 3)² - 45

Step-by-step explanation:

Sandra wrote the function as p(x) = 30x + 5x².

So, this is a formula of a parabola, and this we have to convert into vertex form.

Now, rearranging the function we get

p(x) = 5(x² + 6x)

⇒ p(x) = 5(x² + 6x + 9) - 45

p(x) = 5(x + 3)² - 45

So, this is the vertex form and the vertex of the parabola is (-3,-45).

We know the formula of a parabola having vertex at (m,n) and axis parallel to positive y-axis is given by

(x - m)² = 4a(y - n)

[tex]y = \frac{1}{4a} (x - m)^{2} + n[/tex] (Answer)

What is the result of dividing x3−4 by x + 2?
x2−2x+4+4x+2
x2−2x+4+12x+2
x2−2x+4−12x+2
x2−2x+4−4x+2

Answers

Answer:

x3−4 by x + 2? equals to  (x-3)/(4)=(x)/(2)

Step-by-step explanation:

Here, we are required to determine the result of dividing x³ - 4 by x + 2.

The result is Choice C;. x²−2x+4−12/(x+2)

The steps required for the division of

x³ - 4 by x + 2

can be made easier by assuming x³ - 4 to take the form;

x³ + 0x² + 0x - 4.

The step by step process for the division is attached to the image.

Ultimately, the division results into;

x²−2x+4−12/(x+2).

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what is 6–3 simplyified

Answers

Answer:

Bro XD lol just simplify it.

the answer is 3

Answer:

3

Step-by-step explanation:

A rectangular picture has a height that is 5/7 of its width. It’s area is 140 square inches. What are the dimensions of the picture?

Answers

Final answer:

The width of the picture is 14 inches and the height is 10 inches, resulting in dimensions of 14 inches by 10 inches.

Explanation:

This problem can be solved by using the formula for the area of a rectangle, which is area = length x width. We are given that the area is 140 square inches, and that the height of the picture is 5/7 of its width. Therefore, we can create the equation 140 = width x (5/7)width.

By simplifying this equation, we can then solve for the width:

Multiply both sides of the equation by 7/5: [tex]width^2[/tex] = 140 x (7/5)Simplify the equation: [tex]width^2[/tex] = 196Take the square root of both sides: width = sqrt(196) = 14 inches

So the width of the picture is 14 inches. To find the height, we multiply the width by 5/7: height = 14 x (5/7) = 10 inches.

Therefore, the dimensions of the picture are 14 inches by 10 inches.

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Jacob knows that 1/20 means “1 divided by 20.” He uses this to find the decimal equivalent for 1/20. Enter a digit into each box to complete his work.

Answers

Answer:

0.05

Step-by-step explanation:

1/20=5/100=0.05

Answer:

0.05

Step-by-step explanation:

To find the decimal equivalent of the fraction 1/20, this is shown as shown in the attachment.

1/20 = 0.05

The decimal equivalent of 1/20 is 0.05

Solve for x. 12x-39<9 AND -4x+3<-6

Answers

Answer:

1. x<4

2. x>9/4

Step-by-step explanation:

Answer:

the answer is b

Step-by-step explanation:

5. A car that travels 20 miles in
a car that travels 30 miles
hour at constant speed is traveling at the same speed as
ar at a constant speed. Explain

Answers

Question:

A car that travels 20 miles in 1/2 hour at constant speed is traveling at the same speed as a car that travels 30 miles in 3/4 hour at constant speed.  Explain

Answer:

Both the car travels at  the same speed of  40 miles per hour .

Step-by-step explanation:

Given:

car 1  :

Distance travel car 1 travels =20 miles  

Time taken = 1/2 hour

car 2 :

Distance travel car 1 travels =30 miles  

Time taken = 3/4 hour

Solution:

Let the speed at which car 1 travels be x

Let the speed at which car 2 travels be y  

Finding the speed of car 1 :

Speed of car 1,[tex]x =\frac{distance}{time}[/tex]

=>[tex]x=\frac{20}{(\frac{1}{2})}[/tex]

=>[tex]x=20\times \frac{2}{1}[/tex]

=>x = 40 miles per hour

Finding the speed of car 2 :

Speed of car 2,[tex]y =\frac{distance}{time}[/tex]

=>[tex]y=\frac{30}{(\frac{3}{4})}[/tex]

=>[tex]y=30\times \frac{4}{3}[/tex]

=>[tex]y=\frac{120}{3}[/tex]

=>x = 40 miles per hour

what is the x intercept od this piecewise function? A) (0,2) B) (2,0) C) (0,4) D) (4,0)​

Answers

Answer: Choice B) (2,0)

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

Set the first piece equal to zero and solve for x

x^2 - 4 = 0

x^2 = 4

x = sqrt(4) or x = -sqrt(4)

x = 2 or x = -2

Keep in mind that the first piece y = x^2-4 is only graphed when x = 2 or larger, so we ignore x = -2. This is one x intercept, but there may be more. Let's check the other graph to see what we get.

----------

Set the second piece equal to zero and solve for x

x-2 = 0

x-2+2 = 0+2

x = 2

We get the same result as above in the prior section. Because of this, the two pieces connect at this junction point.

The x intercept x = 2 leads to the location (2,0). The x intercept always occurs when y = 0.

The graph below shows this.

side note: the red piece y = x^2 - 4 looks linear, but it's actually not a straight line. It's just a really stretched out curve.

A pastry recipe calls for 3 cups of flour to make 9 servings. How many cups of flour are needed to make 6 servings?

A) 2.25 cups
B) 2.5 cups
C) 4.5 cups
D) 16 Cups

Answers

Answer:

2 cups of flour.

Step-by-step explanation:

9 servings require  3 cups of flour, so:

1 serving requires 3/ 9 = 1/3 of a cup of flour.

6 servings require 1/3 * 6 = 2 cups of flour.

A florist is filling a large order for a client. The client wants no more than 300 roses in vases. The smaller vase will contain 8 roses and the larger vase will contain 12 roses. The client requires that there are at least twice as many small vases as large vases. The client requires that there are at least 6 small vases and no more than 12 large vases.

Let x represent the number of small vases and y represent the number of large vases.



What constraints are placed on the variables in this situation?

Answers

Answer:

[tex]8x+12y\leq 300[/tex]

[tex]x\geq 6[/tex]

[tex]y\leq 12[/tex]

[tex]x\geq 2y[/tex]

Step-by-step explanation:

We are given that

x=Number of small vases

y=Number of large vases

Total number of roses not more than 300 in vases.

Number of roses in small vase atleast=8

Number of roses in large vase not more than =12

We have to find the constraints are placed on the variables in the given situation.

According to question

[tex]8x+12y\leq 300[/tex]

[tex]x\geq 6[/tex]

[tex]y\leq 12[/tex]

[tex]x\geq 2y[/tex]

If u can help that would be great

Answers

Answer:

Step-by-step explanation:

Solved by elim: it is similar (diff size, but not congruent, same size) and B is twice the size of A, not half.

Yoga classes are offered 2 days a week for 6 weeks at both the community center and the local gym. The cost for the classes at the community center is $72 plus an additional one time fee of $12 to rent the yoga equipment used in class. The cost at the local gym is $8 a class. Regina wants to know which class she can take for less money

Answers

Regina can take yoga classes at community center as it would cost her less money.

Step-by-step explanation:

No. of classes per week = 2

Classes in 6 weeks = 2*6 = 12 classes

Cost of classes at community center = $72

Additional one time fee = $12

Total cost at community center = 72+12 = $84

Cost per class at local gym = $8

Cost of 12 classes = 12*8 = $96

Regina can take yoga classes at community center as it would cost her less money.

Keywords: addition, multiplication

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Solve for
in the equation 2 – 8X+41 = 0.
X=-4 /37
X=-425
X= 4+
37
x = 4 +51

Answers

Answer:

x=43/8

Step-by-step explanation:

2-8x+41=0

-8x+43=0

-8x=0-43

-8x=-43

8x=43

x=43/8

Please Help ASAP!! Domain and range of function...

Answers

Answer:

Domain: All Real Numbers

Range: All Integers

Step-by-step explanation:

Integers are numbers positive and negative and 0 but cannot be partial numbers. Partial numbers are decimal or fractional numbers when most simplified.

Real numbers are positive and negative and 0 and can be partials, decimal numbers, fractions, radicals, anything considered a number.

The domain is all real numbers. Since the graph has lines that show between the grid lines, decimal numbers are included.

The range is all integers because there are only number on the grid lines. Real numbers would include all of the decimal numbers that not in the white spaces.

Answer:

the bottom right

Step-by-step explanation:

range cannot be all real numbers because they have to be integers(for example, 3/4 is a real number but it is not an integer)as the lines are on integer numbers. But the domain can be all real numbers because the lines go through all real numbers

Interpret the y-intercept of the graph.

Answers

Answer:

the y-coordinate of a point where a line, curve, or surface intersects the y-axis.

Step-by-step explanation:

This is the best and easiest way I could put it in.

A muffin recipe, which yields 12 muffins, calls for 2/3 cup of milk for every 1 3/4 cups of flour. The same recipe calls for 1/4 cup of coconut for every 3/4 cup of chopped apple. To yield a batch of 30 muffins, how much flour will be needed in the mix?

Answers

Answer:

[tex]4\dfrac{3}{8}[/tex] cups of flour

Step-by-step explanation:

A muffin recipe, which yields 12 muffins, calls for 2/3 cup of milk for every 1 3/4 cups of flour.

Then this recipe, which yields one muffin, calls for

[tex]\dfrac{2}{3}:12=\dfrac{2}{3}\cdot \dfrac{1}{12}=\dfrac{1}{18}[/tex]

cup of milk for every

[tex]1\dfrac{3}{4}:12=\dfrac{7}{4}\cdot \dfrac{1}{12}=\dfrac{7}{48}[/tex]

cups of flour.

Thus,

this recipe, which yields a batch of 30 muffins, calls for

[tex]\dfrac{1}{18}\cdot 30=\dfrac{5}{3}=1\dfrac{2}{3}[/tex]

cups of milk for every

[tex]\dfrac{7}{48}\cdot 30=\dfrac{210}{48}=\dfrac{35}{8}=4\dfrac{3}{8}[/tex]

cups of flour.

Final answer:

To calculate the amount of flour needed to yield 30 muffins, we first find the amount of flour required for a single muffin and then scale it up to 30 by multiplying. For 30 muffins, approximately 1.094 cups of flour are required based on the original recipe ratios.

Explanation:

The question involves the use of ratios to calculate the amount of a particular ingredient required for a different quantity of the final product. Since the original recipe yields 12 muffins with 1 3/4 cups of flour, we first need to determine how much flour is needed for one muffin by dividing 1 3/4 cups by 12. After finding the flour quantity per muffin, we then multiply that by 30 to find out how much flour is needed for 30 muffins.

Step 1: Calculate the amount of flour for one muffin.
Amount of flour per muffin: 1 3/4 cups / 12 =
7/4 cups / 12 = 7/48 cups per muffin.

Step 2: Calculate the amount of flour needed for 30 muffins.
Amount of flour for 30 muffins: 7/48 cups per muffin x 30 = 7/48 x 30 =
52.5/48 or approximately 1.094 cups of flour.

A ball is thrown vertically upward from the ground with an initial velocity of 109 ft/sec. Use the quadratic function
h(t) = -16t2 + 109t to find how long it will take for the ball to reach its maximum height, and then find the maximum
height. Round your answers to the nearest tenth.

Answers

Answer:

Time taken by the ball to reach its maximum height is 3.4 sec

maximum height reached by the ball is 185.6ft

Step-by-step explanation:

h(t) = -16[tex]t^{2}[/tex] + 109t

height is maximum ⇔ [tex]\frac{d}{dt}[/tex](h) = 0 and [tex]\frac{d^{2} }{dt^{2} }[/tex](h) < 0

[tex]\frac{d}{dt}[/tex](h) = 0 ⇒ -32t + 109 = 0

⇒t = [tex]\frac{109}{32}[/tex] ⇒ t = 3.4sec

[tex]\frac{d^{2} }{dt^{2} }[/tex](h) = -32 < 0

h(t) is maximum at t = 3.4

and maximum height is h(3.4) = -16×[tex]3.4^{2}[/tex] + 109×3.4 ⇒ h = 185.6ft

Answer:

The maximum height with rounding by the nearest tenth is [tex]280.56\ m[/tex]

Explanation:

Initial velocity of ball [tex]=109\ ft/sec[/tex]

Quadratic function [tex]$h(t)=-16t x^{2} +109t$[/tex]

Maximum  height[tex]=?[/tex]

Step 1:

This ball has its height related to time by a parabola with the equation:

[tex]$s=\frac{1}{2} \times a \times t^{2}+v_{0} \times t+s_{0}$[/tex]

where [tex]$s$[/tex] is the height so is the starting height, [tex]v_{0}[/tex]  is its starting velocity [tex]$=109 \ {ft} / \mathrm{s}$[/tex]

[tex]$a$[/tex] is the acceleration of gravity, which is [tex]$-16 \ {ft} / \mathrm{s}$[/tex] every second.

Step 2:

Time required to reach its maximum height:

[tex]$v=a^{*} t+v_{0}[/tex]  (its velocity is the acceleration of gravity × time [tex]+ v_0[/tex]) [tex]$v$[/tex] will slow down from [tex]$109 \ {ft} / \ s[/tex] to [tex]$0 \mathrm{ft} / \mathrm{s}$[/tex]  

And it slowing down at [tex]$16 \mathrm{ft} / \mathrm{s}$[/tex] :

[tex]t(s)=0,1,2,3,4,5,6[/tex]

[tex]V (m/s)=109,93,77,61,45,29,13[/tex]

Before [tex]$7 \mathrm{~s}$[/tex], it will hit the ground.

Exact calculation [tex]$t=\frac{109 f t / s}{16 f t / s}=6.81 s$[/tex]

Thus we can say at the height of,

[tex]$\mathrm{t}_{\max }=\frac{6.81}{2} \\=3.4\ sec[/tex]  

Step 3:

Plug the [tex]t_m_a_x[/tex] sec value back into equation:

[tex]$h(t)=t \cdot(-16 t+109)$[/tex]

[tex]$h_{\max }=3.4 \cdot(-16.4 .1875+109)$[/tex]

[tex]$h_{\max }= 185.6\ m[/tex]

Hence, the maximum height is [tex]185\ m[/tex]

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Find a mixture that will make a different shade of green that is bluer

Answers

:

Mix a pthalo green and alizarin crimson with ultramarine blue

This new mixture will contain 2 cups of yellow and 7 cups of blue, resulting in a bluer shade of green compared to the original mixture.

To create a bluer shade of green, we need to increase the proportion of blue relative to yellow in the mixture. We can achieve this by increasing the amount of blue while keeping the amount of yellow constant.

Given that the original mixture ratio is 2 cups of yellow to 3.5 cups of blue, let's increase the amount of blue relative to yellow. We can try doubling the amount of blue while keeping the amount of yellow constant.

So, to create a bluer shade of green, we can use:

- 2 cups of yellow (constant)

- 2 * 3.5 = 7 cups of blue

This new mixture will contain 2 cups of yellow and 7 cups of blue, resulting in a bluer shade of green compared to the original mixture.

complete question given below:

A type of green paint is made by mixing 2 cups of yellow with 3.5 cups of blue. Find a mixture that will make the different shade of green that is bluer

helppppppppppppppp!!!! rate 5 stars

Answers

Answer:

11) a or d 12) b

Step-by-step explanation:

sorry, I don't feel like looking at number 11 properly I'm half asleep

Two factory plants are making TV panels. Yesterday, Plant A produced 16,000 panels. Five percent of the panels from Plant A and 2% of the panels from Plant B
were defective. How many panels did Plant B produce, if the overall percentage of defective panels from the two plants was 4%?



Number of panels produced by Plant B????

Answers

Answer:

Number of panels produced by Plant B is 8,000.

Step-by-step explanation:

The number of panels produced by Plant A  = 16,000

The number of defective panels from A = 5%

Now, 5% of 16,000 = [tex]\frac{5}{100}  \times 16,000 = 800[/tex]

So, out of  16,000 panels produced by pant A , 800 are defective. .. (1)

Let us assume number of panels produced by Plant B  = m

The number of defective panels from B = 2%

Now, 2% of m = [tex]\frac{2}{100}  \times m = 0.02 m[/tex]

So, out of total m panels produced by pant B , 0.02 m are defective. .. (2)

Now, total panels produced over all = Panels by A  + Panels by B

= 16,000 + m

The percentage of defected panels over all = 4%

Now, 4% of (16,000 + m) = [tex]\frac{4}{100}  \times (16,000+m)  = (0.04)(16,000 + m)[/tex]

Also, the total number of defective panels = Defective from A  + Defective from B

⇒(0.04)(16,000 + m)  =  800 +   0.02 m   from (1) and (2)

or, 640 + 0.04 m = 800 + 0.02

or, 0.02 m = 160

⇒ m = 160 /0.02 = 8,000

or, m = 8,000

Hence, Number of panels produced by Plant B is 8,000.

Final answer:

The number of panels produced by Plant B can be calculated by setting up an equation representing the total number of defective panels from both plants. Solving this equation yields a result of 20,000 panels for Plant B.

Explanation:

Let's denote the number of panels produced by Plant B as X. According to the problem, 5% of the panels produced by Plant A were defective, which is 0.05*16,000 = 800. Since 2% of the panels produced by Plant B were defective, that's 0.02*X panels.

The total number of defective panels from both plants was 4% of the total production, which means it was equivalent to 0.04 * (16,000+X). Setting this equation equal to the sum of defective panels from both plants, we get the equation 0.04*(16,000+X) = 800 + 0.02*X.

Solving the above equation, we get X = 20,000. Therefore, "Plant B produced 20,000 panels".

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-30=4-8x solve for x

Answers

Answer: x=4.25

Step-by-step explanation:

-30=4-8x

subtract 4 from both sides

-8x=-34

divide by -8 on both sides

x=4.25

18. Find the measure of ZWZX. Show your work.

48 degrees
8x-3
18x+5

Answers

<X = 48 degrees, <Y = 8X-3, W = 18X+5

Since it's a triangle we know that it equals 180 degrees.

So take 8X-3+18X+5+48=180

Add your like terms together which makes, 26X+50=180

Now you're going to subtract 50 from 180 which leaves you with 26X=130

Now divide your sums which leaves you X which = 5

You should be able to plug X back into your equation to find <Z. Hope this helps.

If-1 is a root of f(x), which of the following must be true?
A factor of f(x) is (x - 1).
Afactor of f(x) is (x + 1).
Both (x - 1) and (x + 1) are factors of f(x).
Neither (x - 1) nor (x + 1) is a factor of f(x).

Answers

A factor of f(x) is (x + 1) must be true ⇒ 2nd answer

Step-by-step explanation:

In a quadratic equation y = ax² + bx + c, the roots of it are:

The values of x when y = 0They can called the x-interceptsIf the roots of it are m and n, then the factors of the equation are (x - m) and (x - n)

∵ -1 is a root of f(x)

∵ The roots of f(x) are the values of x when f(x) = 0

∴ At f(x) = 0, x = -1

When f(x) = 0, then all factors of f(x) must be equate by 0

∵ f(x) = 0

∵ x = -1 ⇒ when f(x) = 0

- Add to sides by 1

∵ x + 1 = 0

∴ (x + 1) is one factor of f(x)

A factor of f(x) is (x + 1) must be true

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the three median of a triangle intersect as a point. which measurements could represent the segments of one of the medians? 2 and 3 , 3 and 4.5 , 3 and 6 , 3 and 9

Answers

2 & 3 is your answer
Final answer:

In a triangle, the point where the medians intersect, known as the centroid, divides each median into two segments in a 2:1 ratio. In this context, only the measurement of segments 3 and 6 fit this property.

Explanation:

The median of a triangle is a segment joining a vertex to the midpoint of the opposite side. In this question, we are considering segments of a median, so we're considering the vertex of the triangle to the centroid (where medians intersect) and from the centroid to the midpoint of the opposite side.

The key property of medians in a triangle is that the centroid, or point of intersection, divides each median into two segments in the ratio 2:1. This means the distance from a vertex to the centroid is twice the distance from the centroid to the midpoint of the opposite side.

From the provided segments, only 3 and 6 fit this principle. This means the distance from the vertex to the centroid is 3 (representing two-thirds of the median) and the distance from the centroid to the midpoint of the opposite side is 6 (representing one-third of the median).

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The ratio of 15 white paint to 11 black paint and 16
blue paint is......?

Answers

Answer:

15 : 11 : 16

Step-by-step explanation:

If A, B, and C are in the ratio x : y : z, then we can say that there is x quantity of A, y quantity of B and z quantity of C.

Therefore, the 15 quantity of white paint. 11 quantity of black paint and 16 quantity of blue paint are in the ratio of 15 : 11 : 16.

Since there is no common factor between 15, 11 and 16 then the ratio is in the simplest form and the ratio is 15 : 11 : 16. (Answer)

8,197 rounded to thousand

Answers

Answer:

8,000. Hope this helps!

Answer: 8000

Step-by-step explanation: Find the number in the thousand place, 8, and look one place to the right for the rounding digit, 1. Round up if this number is great than or eual to 5 and round down if it is less than 5.

(5 or more, let it sore. 5 or less, let it rest.)

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