..........................

[tex]\bf \qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad y=kx\impliedby \begin{array}{llll} k=constant\ of\\ \qquad variation \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ (\stackrel{x}{6},\stackrel{y}{10})\qquad \textit{we know that } \begin{cases} x=6\\ y=10 \end{cases}\implies 10=k6\implies \cfrac{10}{6}=k\implies \cfrac{5}{3}=k \\\\\\ therefore\qquad \boxed{y=\cfrac{5}{3}x}[/tex]

to get another point, we simply can pick a random independent variable, namely "x", say hmmmm x = 9, thus

[tex]\bf y=\cfrac{5}{3}(\stackrel{\stackrel{x}{\downarrow }}{9})\implies y=5\cdot \cfrac{9}{3}\implies y=10~\hspace{7em}\boxed{(9, 10)}[/tex]

To find another point with integral coordinates on the graph of the equation representing a direct variation, we can use the given point (6, 10) and the fact that the equation represents a direct variation. By finding the value of the constant of variation, we can substitute an integral x-value to find the corresponding y-value for another point on the graph.

To find another point with integral coordinates on the graph of the equation representing a direct variation, we need to use the given point (6, 10) and the fact that the equation represents a direct variation. A direct variation equation has the form y = kx, where k is the constant of variation. In this case, we can use the given point to find the value of k. When x = 6 and y = 10 in the equation y = kx, we can substitute these values to solve for k: 10 = k * 6. Solving for k, we get k = 10/6 = 5/3.

Now that we know the value of k, we can find another point with integral coordinates. Let's try x = 3. Using the equation y = kx, we can substitute x = 3 and k = 5/3 to find y: y = (5/3) * 3 = 5.

So, another point with integral coordinates on the graph of the equation representing a direct variation is (3, 5).

Answer:

C

Step-by-step explanation:

Just plugging in the given x or y values, you can rule out both A and B, only C and D work out logically.

-17=-3(2-2)²-17

-17=0-17

-17=-17✓

2=3(x+17)1+2

2=0+2

2=2✓

With parabolas, if you're talking in terms of y=x², it will be vertical. If talking in terms of x=y², it will be horizontal. As we're looking for something horizontal (open to the left), we need a x=y² formula. Of C and D, only C is an x=y² formula, and thus the answer.

He was ironing when the phone rang.

The absent-minded professor burned his ear due to the lens effect caused by sunlight reflecting off a concave mirror. The mirror focused the sunlight onto his ear, causing it to burn.

The absent-minded professor burned his ear due to the lens effect caused by sunlight reflecting off a concave mirror. When the professor held the mirror close to his ear and exposed it to sunlight, the mirror focused the sunlight onto his ear, causing it to burn.

The concave mirror has a curve that causes the light rays to converge at a specific point called the focal point. This concentrated light energy resulted in the burning sensation on the professor's ear.

This phenomenon is similar to using a magnifying glass to focus sunlight onto an object and create heat. The concave mirror acted as a magnifying glass, amplifying the intensity of the sunlight and leading to the ear burn.

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➷ To figure this out, you need to understand that there are 60 minutes in an hour

Subtract 10 from this value:

60 - 50

As it isn't 60 minutes, it wouldn't be 9 anymore

9-1 = 8

The correct answer would be: 8:50

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➶ Have A Great Day ^-^

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Answer:

[tex]\large\boxed{8x^3+125=(2x+5)(4x^2-10x+25)}[/tex]

Step-by-step explanation:

[tex]8x^3+125=2^3x^3+5^3=(2x)^3+5^3\\\\\text{use}\ a^3+b^3=(a+b)(a^2-ab+b^2)\\\\=(2x+5)((2x)^2-(2x)(5)+5^2)\\\\=(2x+5)(4x^2-10x+25)[/tex]

i don't know if this is the correct answer 3360y^2

Answer:

Product [tex](21) ( x^{7})(y^{11})[/tex].

Step-by-step explanation:

Given : [tex](7x^{2} y^{3})(3x^{5} y^{8})[/tex].

To find : product .

Solution : We have given that

[tex](7x^{2} y^{3})(3x^{5} y^{8})[/tex].

Combine like terms

[tex](7 * 3) ( x^{2}*x^{5})(y^{3}*y^{8})[/tex].

By the exponential rule : if the base of two exponent is same then power must be added . [tex]x^{a} *x^{b} = x^{a+b}[/tex].

Then

[tex](21) ( x^{2+5})(y^{3+8})[/tex].

[tex](21) ( x^{7})(y^{11})[/tex].

Therefore, Product [tex](21) ( x^{7})(y^{11})[/tex].

Answer:

If you give the diameter and the radius, as well as the circumference, I will be of more help :)

Step-by-step explanation:

I hope this helps, if it doesn't then just message me and ill be more than happy to help :)

Answer: FIRST OPTION

Step-by-step explanation:

To solve this problem you must apply the Intersecting Secant-Tangent Theorem. By definition, when a secant line and a tangent lline and a secant segment are drawn to a circle from an exterior point:

[tex](Tangent\ line)^2=(Secant\ line)(External\ Secant\ line)[/tex]

The total measure of the secant shown is:

[tex]18+Diameter[/tex]

If the radius is 7, then the diameter is:

[tex]D=7*2=14[/tex]

Therefore:

[tex]Secant\ line=18+14=32[/tex]

You also know that:

[tex]External\ Secant\ line=18\\Tangent\ line=x[/tex]

Keeping the above on mind, you can substitute values and solve  for x:

[tex]x^{2}=32*18[/tex]

[tex]x=\sqrt{576}\\x=24[/tex]

The measure of the side length of the tangent line PQ to the circle O is 25 units

From the image, Line segment PQ is a tangent line because it touches the curve at point Q.

Therefore, triangle PQO forms a right triangle.

Leg 1 of the right triangle = OQ = 7

Leg 2 of the right triangle = PQ = x

Hypotenuse = PO = 18 + 7 = 25

Now, to solve for the measure of side length x, we use the Pythagoras theorem:

PQ = √( PO² - OQ² )

Plug in the values:

x = √( 25² - 7² )

x = √( 625 - 49 )

x = √576

x = 24

Therefore, the value of x is 24.

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Answer:

2A/h = b

Step-by-step explanation:

The formula for area of a triangle is

A = 1/2 bh

Multiply each side by 2

2A = 2*1/2 bh

2A = bh

Divide each side by h

2A/h = bh/h

2A/h = b

Answer:

b=2A/h

Step-by-step explanation:

The formula for area of a triangle is

A = 1/2 bh

Multiply each side by 2

 2*1/2 bh = 2A

bh = 2A

Divide each side by h

bh/h = 2A/h

b = 2A/h

Answer:

Step-by-step explanation:

Find out the price of one bagel by dividing the price by the number of bagels:

350 Bagels = $168

1 Bagel = $0.48

475 Bagels = $209

1 Bagel = $0.44

0.48 > 0.44

This means the second bakery has the lower price.

Louis wants 800 bagels, so multiply the price by 800.

0.44 * 800 = $352

You can check it's lower by comparing it with the first bakery.

0.48 * 800 = $384

384 > 352

The value of exponential function, which completes the table for variable x at 1/3 is 3. The option B is correct.

Exponential function is the function in which the function growth or decay with the power of the independent variable.

The curve of the exponential function depends on the value of its variable.

The exponential function with dependent variable y and independent variable x can be written as,

[tex]y=a^x[/tex]

Here, [tex]x[/tex] is the variable in the power of a number.

Given information-

The given exponential function in the problem is,

[tex]f(x)=8^x+1[/tex]

The value of function at the value of variable x as 1/3 has to be find to complete the table. Put 1/3 in the above equation on the place of x as,

[tex]f(x)=8^{\frac{1}{3}}+1[/tex]

The number 8 can be written as the [tex]2^3[/tex]. Thus,

[tex]f(x)=(2^3)^{\frac{1}{3}}+1\\f(x)=(2)^{\dfrac{3\times1}{3}}+1\\f(x)=(2)^1+1\\f(x)=2+1\\f(x)=3[/tex]

Thus the value of exponential function, which completes the table for variable x at 1/3 is 3. The option B is correct.

Learn more about the exponential function here;

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Answer:

Area = 2

Step-by-step explanation:

Givens

The leg and the height of the right angle triangle are both radii of the semi circle.

The diameter of the semicircle is 4

Solution

radius = diameter /2

radius = 4/2

radius = 2

Area = 1/2 * b * h

b = 2

h = 2

Area = 1/2 * 2 * 2

Area = 2

Answer:

2 units²

Step-by-step explanation:

The diameter is 4 units.

The radius is 4/2 = 2 units.

The two legs of the triangle are a measure of 2 units or just the radius length.

Area of triangle = bh × 1/2

2 × 2 × 1/2

4/2 = 2

To find the unit rate, divide total cost by number of cans bought.

$30 / 12 cans = $2.50 per can.

Now multiply the unit cost by the number of cans you want to buy:

2.50 x 100 = $250.00

2.50 x 250 = $625

Y=|x|. An absolute value has a V shape.

Final answer:

The equation that will make a V-shaped graph is y = |x|, as it plots the absolute value of x, creating a V shape by reflecting points on the positive side of the y-axis for both positive and negative values of x.

Explanation:

The student asked which of the following equations will make a V-shaped graph. The answer is y = |x|. This is because the absolute value function produces a graph that is V-shaped, reflecting the positive distance from zero for both positive and negative values of x. The other options presented, such as y = 2x, would produce a straight line; x² + 5 = y (correctly read as y = x² + 5) would produce a parabola; and y = 1/3x would also result in a straight line, just with a different slope. Only the graph of y = |x| has the distinct V shape as it plots the absolute value of x, meaning it reflects the points on the positive side of the y-axis for both positive and negative values of x.

If Sharon is 3 years younger, then it's s = 3-b. However, it's twice her brothers age, which makes the formula our final answer, A, or [tex]s = 3 - 2b[/tex]

The correct option is A

Answers are attached in the 2 pics below. Please check!

Answer:

x = 1/2

Step-by-step explanation:

Subtract 2x from both sides

4x + 5x - 2x = 6

Combine 4x and -2x to get 2x.

2x + 5 = 6

Subtract 5 from both sides.

2x = 6 - 5

Subtract 5 from 6 to get 1.

2x=1

Divide both sides by 2.

x = 1/2

Answer: [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

The greatest GCF is 5 because 5 goes into 15, and 10. Therefor, the answer would be 2/3.

* Hopefully this helps:) Mark me the brainliest:)!!!

Answer:

⅔

Step-by-step explanation:

Find all the factors of 10 and 15.

Factors of 10: 1, 2,     5, 10

Factors of 15: 1, 2, 3, 5,      15

The highest factor that is in both 10 and 15 is 5.

To reduce the fraction 10/15, divide both the numerator and denominator

by 5.

10/15 = (10 ÷ 5)/(15 ÷ 5) = ⅔

Answer:

The correct answer option is C. [tex]2\frac{1}{2}[/tex] pounds

Step-by-step explanation:

We are given that Emma has [tex]5\frac{3}{8}[/tex] pounds of potato salad and [tex]5\frac{3}{8}[/tex] pounds of egg salad for a picnic.

We are to find out how much more pounds Emma has of potato salad than the egg salad.

To find this, we simple need to subtract the pounds of egg salad from the pounds of potato salad.

[tex]5\frac{3}{8} - 5\frac{3}{8}[/tex] [tex]=\frac{43}{8} -\frac{23}{8} =\frac{43-23}{8} = 2\frac{1}{2}[/tex] pounds

The linear equation that models the cost of making a call lasting x minutes using a calling card is y = -0.1x + 1.45.

To write a linear equation that models the cost of making a call lasting x minutes using a calling card, we can use the given information about two calls. If a 5-minute call costs $0.95 and a 13-minute call costs $1.75, we can set up two equations:

0.95 = 5m + b

1.75 = 13m + b

Solving these equations, we find that m = -0.1 and b = 1.45. Therefore, the linear equation that models the cost of making a call lasting x minutes is y = -0.1x + 1.45.

Hello.

We are solving -9.4 > 1.7x + 4.2.

First we need to swap sides:

[tex]1.7x + 4.2 = -9.4[/tex]

Now we need to subtract 4.2 from both sides.

1.7x + 4.2 = -9.4

        -4.2 .  -4.2

Now let's combine -4.2 + 4.2 which is 0.

We get 1.7x < -9.4 - 4.2

Now let's divide both sides by 1.7

1.7x | -13.6

1.7     1.7

x < -13.6

      1.7

So we just divided to get x < -8.

Answer:

[tex]\boxed{\bold{x<-8}}[/tex]

Step By Step Explanation:

[tex]\bold{1.7x+4.2<-9.4}[/tex]

[tex]\bold{1.7x\cdot \:10+4.2\cdot \:10<-9.4\cdot \:10}[/tex]

[tex]\bold{17x+42<-94}[/tex]

[tex]\bold{17x+42-42<-94-42}[/tex]

[tex]\bold{17x<-136}[/tex]

[tex]\bold{\frac{17x}{17}<\frac{-136}{17}}[/tex]

[tex]\bold{x<-8}[/tex]

Answer:

14/14 = 1 and 56/14 = 4

Thus, 14:56 ratio simplified is 1:4

hope this helps:)sorry if it doesnt

brainliest plz

Answer:

Simplify:

-3/5 ÷ 7/6

Step-by-step explanation:

1. To solve you have to switch the ÷ to x, but once you do that 7/6 would be switched too:

-3/5 x 6/7

2. Simplify,

-18/35

So, the answer to this is B.

Hope this Helped!!!!!

~Shane

Answer:

168

14 times 12

➷ Angles subtended by the same arc are equal

Therefore, x = 30 degrees.

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The answer is 30 Degrees

..............................................

➷ Use this formula:

density = mass / volume

Rearrange it for mass:

mass = density x volume

Substitute the values in:

mass = 100 x 19.3

Solve:

mass = 1930g

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Answer:

2(7.5x+3.5)

Step-by-step explanation:

I can't remember what these equations are actually called, however in order to solve this you simply multiply 7.5 by 2, and then 3.5 by 2.

The answer is A because completing the square gives a minimum of 2,-9 and factorising gives roots of 5 and -1 :)

Answer:

Minimum at (2,-9)  and  intercepts are (-1,5)

Step-by-step explanation:

f(x) = [tex]x^2 -4x-5[/tex]

completing square method adding and subtracting the square of half of coefficient of 4 ,we get

f(x) = [tex]x^2 -4x+4 -4 -5[/tex]

f(x) =[tex](x-2)^2 -9[/tex]

on comparing it with standard vertex form [tex](x-h)^{2} +k[/tex]

                                 where k is suppose to be the minimum value

on comparing  it we get  k = -9

which is minimum value of f(x)

at x =2

and if we find the zeros of

[tex]x^2 -4x-5[/tex] ,we get

[tex]x^2 -5x+x -5[/tex]

[tex]x^2 -4x-5[/tex]

x(x-5)+1(x-5)

(x+1)(x-5)

on setting it equals zero ,we get

x+1 =0 and x=5

x =-1 and x=5

therefore option A is answer

Minimum at (2,-9)  and  intercepts are (-1,5)

Answer:

1

Step-by-step explanation:

If you only take out 2 marbles, you have to take out red marbles both times to have 2 red marbles. There is no other option.