if x:6as3:9,then x is equal to

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:

∵ -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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Answer:

1. x<4

2. x>9/4

Step-by-step explanation:

Answer:

the answer is b

Step-by-step explanation:

Answer:

About 58 students are absent today.

Step-by-step explanation:

11%=0.11

0.11*527=57.97

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

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.

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.

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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Answer:

Option (c) $30.00

Explanation:

Let the original price be $x

Given the rate of discount is 40%

Selling (or sale) price of the book is = $18

The original price is calculated by the formula,

Selling Price = Original Price(1 – r%)

Substituting the values in the above equation,

[tex]18 = x (1-\frac{40}{100})[/tex]

[tex]18 = x (\frac{60}{100})[/tex]

[tex]x=\frac{1800}{60}[/tex]

Therefore, x = 30

Hence, option (c)is correct

The original price of the book was $30.00, which, after a 40% discount, results in the $18.00 sale price. To find the original price, divide the sale price by 0.60 (which represents the remaining 60% after the discount). So the correct option is C.

To find the original price of the book before the sale, you need to consider that the sale price represents 60% of the original price, because the book was discounted by 40%. The calculation that needs to be done is to divide the sale price by 0.60.

Here are the steps:

Therefore, the original price of the book was $30.00.

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

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)

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

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.

<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.

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]

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

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:

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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Answer:

Average miles travelled per day =412.

Step-by-step explanation:

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)

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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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

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.

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.

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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:

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

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.

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

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.

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.

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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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.

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).

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.)

Hope this helps you out! ☺

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:

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.

Answer:

38

Step-by-step explanation:

To evaluate h(8) substitute x = 8 into h(x)

h(8) = 5(8) - 2 = 40 - 2 = 38

Answer:

38

Step-by-step explanation:

Answer:

Bro XD lol just simplify it.

the answer is 3

Answer:

3

Step-by-step explanation:

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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Answer:

y-3=-(x+4)

Step-by-step explanation:

Point Slope Form: y-y1=m(x-x1)

Where m=slope and (x1, y1) is a point on the line.

m=(y2-y1)/(x2-x1)

m=(-4-3)/(3-(-4))=-7/(3+4)=-7/7=-1

y-3=-1(x-(-4))

y-3=-(x+4)