fin k if y =kx2, and y=25 when x =5​

The solution to the inequality is x >= -2 for inequality 3x-5≥-11

The given inequality is 3x-5≥-11

Three times of x greater than or equal to minus eleven

x is the variable

3x - 5≥ -11:

Adding 5 to both sides, we get:

3x ≥ -6

Dividing both sides by 3, we get:

solution is  x≥-2

Therefore, the solution to the inequality is x >= -2.

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The measure of angle TSK is given as follows:

m < TSK = 35º.

On a triangle, the sum of the measures of the internal angles is of 180º.

For triangle TSK, the internal angle measures are given as follows:

Then the measure of angle TSK is obtained as follows:

m < TSK + 22 + 123 = 180

m < TSK = 180 - 145

m < TSK = 35º.

Meaning that the last option is correct.

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\(1/2 * 2 * 1 = 1\) square unit.

Step-by-step explanation:

To find the maximum area of the triangle, we need to locate the vertex of the parabola. This occurs when x=1. The y-coordinate at x=1 is 1. We can then use this as the height of the triangle. The base of the triangle is the distance between x=0 and x=2, which is 2. Therefore, the maximum area of the triangle is 1/2 * 2 * 1 = 1 square unit.

Answer:

Perimeter:\(4x+10\) feet
Area:\(x^{2}+5x+6\) feet

Step-by-step explanation:

The perimeter is equal to 2*width +2*length. The width is x+2 and the length is x+3, therefore the perimeter is equal to 2x+4+2x+6 which equals 4x+10.
The area is equal to width*length
(x+3)(x+2)=\(x^{2}+2x+3x+6=x^{2}+5x+6\)

Answer:

some common bacteria that causes tooth decay or cavities are streptococci,lactobacilli,and streptococcus sobrinus.

Step-by-step explanation:

hope this helped!

Answer:

Below

Step-by-step explanation:

● 8 ÷ (3-x)

Dividing by 3-x is like multiplying by 1/(3-x)

● 8 × (1/3-x)

● 8 /(3-x)

The end behavior of the cube root function represented by the graph is B. As x decreases in value, f ⁡ ( x ) increases in value. As x increases in value, f ⁡ ( x ) decreases in value.

The given data is

(-5, 2)

(0, 1) = y-axis at 1 unit

(2, 0) = intercepts the x-axis at 2 units

(3, -2)

(6, -5)

Examining the increasing and decreasing trend as represented by the ordered pairs it shows that

x ⇒ -∞ f(x) ⇒ ∞

x ⇒ ∞ f(x) ⇒ -∞

This end behavior is described by option B.

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SOLUTION:

The area of a semicircle is half that of a circle, it is given by the formula;

Here, d = 10 and therefore r = 5. The area is;

Therefore, the area is;

Below, you'll find a list of all the answers to the questions which are solved by using proportional relationship.

The general equation for a straight line is y=mx + c, where m represents the line's slope and expresses the rate of change of y per unit time with respect to x.

The point where the graph crosses the y-axis is called the y-intercept, or c.

Direct proportionality is also represented by y = mx. We can express m as follows: m = y/x

OR

y₁/x₁ = y₂/x₂

In our cafeteria, lemonade is made using a powdered drink mix. The quantity of water required to manufacture a certain amount of powdered drink mix is proportional to the number of scoops required. For every 2 scoops of mix, 1/2 gallon of water is required, and for every 5 scoops,

1 1/4 gallons of water are required.

The proportional formula is written as y = k x.

Using the information provided, we can now write: 2 scoops require 0.5 gallon of water.

1.25 gallon of water is required for 6 scoops.

This means that k = 2/0.5

k = 2/(1/2)

k = 2 x 2

k= 4

Equations describing the relationship can be expressed as y = 4x + c.

0.5 gallon of water is now required for 2 scoops.

2=4(1/2)+c

2=2+c

c=0

Therefore, the formula will be y = 4x.

The end includes a graph for y = 4x.

12 scoops of water:

12=4x

x=3 gallons of water is needed.

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Based on the given information, the second brand, Cola, is the more affordable option in terms of cost per milliliter compared to Co Fizz.

To determine which brand of cola is more expensive, we need to compare the cost per unit volume for each brand.

For the first brand, Co Fizz, a pack contains 4 bottles, and each bottle has a volume of 500 ml. The cost of the pack is $2.50. Therefore, the total volume in a pack is 4 * 500 ml = 2000 ml. To find the cost per milliliter (ml), we divide the total cost by the total volume: $2.50 / 2000 ml = $0.00125 per ml.

For the second brand, Cola, a pack contains 10 bottles, and each bottle has a volume of 330 ml. The cost of the pack is $2. Therefore, the total volume in a pack is 10 * 330 ml = 3300 ml. To find the cost per milliliter (ml), we divide the total cost by the total volume: $2 / 3300 ml ≈ $0.000606 per ml.

Comparing the two brands, we can see that the cost per milliliter for Co Fizz is $0.00125, while the cost per milliliter for Cola is approximately $0.000606.

Since the cost per milliliter for Co Fizz is higher than the cost per milliliter for Cola, it can be concluded that Co Fizz is more expensive in terms of price per unit volume.

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Check the picture below.

\(3x+5=\cfrac{260-100}{2}\implies 6x+10=160\implies 6x=150 \\\\\\ x=\cfrac{150}{6}\implies x=25\hspace{9em}\stackrel{\measuredangle ABC}{3(25)+5}\implies 80^o\)

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

To find the quotient of z₁ by z₂ in trigonometric form, we'll express both complex numbers in trigonometric form and then divide them.

Let's represent z₁ in trigonometric form as z₁ = r₁(cosθ₁ + isinθ₁), where r₁ is the magnitude of z₁ and θ₁ is the argument of z₁.

We have:

z₁ = 7(cos(577°) + i sin(577°))

Now, let's represent z₂ in trigonometric form as z₂ = r₂(cosθ₂ + isinθ₂), where r₂ is the magnitude of z₂ and θ₂ is the argument of z₂.

From the given information, we have:

z₂ = 21(cos(-7°) + i sin(-77°))

To find the quotient, we divide z₁ by z₂:

z₁ / z₂ = (r₁/r₂) * [cos(θ₁ - θ₂) + i sin(θ₁ - θ₂)]

Substituting the given values, we have:

z₁ / z₂ = (7/21) * [cos(577° - (-7°)) + i sin(577° - (-7°))]

= (7/21) * [cos(584°) + i sin(584°)]

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

Option C, 21(cos(-7°) + i sin(-77°)), is not the correct answer as it does not represent the quotient of z₁ by z₂.

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x=6

d=12

7x+12 or 7x+d

7(6) + 12 or (7x6) + 12 = 54

78-12 = 66

66/6 = 11

11x + 12 =78.

Answer:

The graph of the parent function y = 2^x can be transformed to create the graph of y = 2^(3x) by horizontally compressing by a factor of 3. Therefore, the correct answer is C.

Answer:

y= x -1.25

Step-by-step explanation:

Use slope= y2-y1/x2-x1

(13.75, 12.50), (3.25 , 2.00)

12.50 -2.00/ 13.75 -3.25

10.50/ 10.50

slope= 1

Substitute into y=mx+b

12.50= 1(13.75) +b

b= -1.25

y= x -1.25

Answer:

=7y−2

Step-by-step explanation:

(-4y + 3) + (11y - 5)

−4y+3+11y+−5

−4y+11y)+(3+−5)

=7y+−2

Hope This helps!

Answer:

7y-2

Step-by-step explanation:

took the test

The value of x is 2.70.

To find x, we can use the midpoint theorem, which states that a line segment drawn from the midpoint of one side of a triangle to the midpoint of another side divides that side into two equal segments. We know that segment AD is the midpoint of segment AB in this case.

So, we can use the Pythagorean theorem to calculate the length of segment AC, which is the triangle's hypotenuse. Using the values provided, we get:

AC2 = AB2 + BC2 AC2 = (2AD)2 + CB2 AC2 = 4AD2 + 7.52 AC2 = 4(32). + 56.25 ac2 = 69.25 ac = 69.25 ac = 8.32 ac (rounded to two decimal places)

The angle bisector theorem states that a line segment drawn from the vertex of a triangle to the midpoint of the opposite side divides the opposite side into segments proportional to the lengths of the other two sides. We know that CD bisects angle ACB and intersects AB at point D in this case.

So far, we have:

BC/AC x/3 = 7.5/8.32 x = 3(7.5/8.32) x = 2.70 (rounded to two decimal places)

As a result, the value of x is 2.70.

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Step-by-step explanation:

To determine whether a triangle is a right triangle, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Let's denote the three sides of the given triangle as a = 23, b = 30, and c = 19. We can check if these side lengths satisfy the Pythagorean theorem as follows:

c^2 = a^2 + b^2

19^2 = 23^2 + 30^2

361 = 529 + 900

Since 361 is not equal to 529 + 900, we can see that the given triangle is not a right triangle.

Answer:

This question doesn't really make sense...

Step-by-step explanation:

Please try to correct it.

Answer:

9 is the answer

Step-by-step explanation:

1. 31 = 9/3+6 <------- This is the original equation.

2. 31 = 3+6    <------- Simplify the fraction.

3. 31 = 9        <-------- This is the final answer.

Hope this helps! I did the best I could. :)

Answer:

$280 in 40 hours!

(Just multiply)

Answer:

This is correct

Step-by-step explanation:

7.00 multiplied by 2 on both sides will give you an equivalent answer which is 140 and 40 hours. good job!

Answer:  j + 3/8 when j = 3/4 is equal to 9/8 or 1 1/8.

Step-by-step explanation: To evaluate the expression, we substitute j with 3/4:

j + 3/8 = (3/4) + 3/8

We can't add these two fractions because they don't have the same denominator. To add fractions, we need to find a common denominator. The smallest number that both 4 and 8 divide into is 8.

(3/4) + 3/8 = (6/8) + 3/8

Now that we have a common denominator, we can add the two fractions:

(6/8) + 3/8 = 9/8

Therefore, j + 3/8 when j = 3/4 is equal to 9/8 or 1 1/8.

Since it doesn't make sense for Timothy to have negative money, we can conclude that there is no solution to this problem.

What is Algebraic expression ?

Algebraic expression can be defined as combination of variables and constants.

Let's assume that Timothy has x dollars when he enters the first store.

According to the problem, he spends 1 dollar more than half of what he has.

So, the amount he spends in the first store is:

1/2 * x + 1

After spending this amount, he will have:

x - (1/2 * x + 1) = 1/2 * x - 1

dollars left.

He then goes to the second store and spends 1 dollar more than half of what he has left, which is:

1/2 * (1/2 * x - 1) + 1 = 1/4 * x + 1/2

After spending this amount, he will have:

1/2 * x - 1 - (1/4 * x + 1/2) = 1/4 * x - 3/2

dollars left.

He repeats this process for each of the five stores.

Therefore, the amount of money Timothy has left after visiting all five stores is:

1/4 * x - 3/2 - (1/4 * x + 1/2) - (1/4 * x + 1/2) - (1/4 * x + 1/2) - (1/4 * x + 1/2) = -5/4 * x - 5

Since he has spent all his money, the amount of money he has left must be 0:

-5/4 * x - 5 = 0

Solving for x, we get:

x = -20

However, since it doesn't make sense for Timothy to have negative money, we can conclude that there is no solution to this problem.

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Answer:

Cadence is flipping her coin 32 times

Step-by-step explanation:

So the fraction is 1/32 which means 32 is the number of times the coin was flipped.

Answer:

-7d-14

Step-by-step explanation:

First, let's distribute -7 to (d+2)

-7xd

-7x2

We will get -7d-14

Answer:

10 +11 + 12

Step-by-step explanation:

We know this because 10 + 11 +12 equals 33

The vertex of the parabola -x² - 2x + 10 = 0 occurs at (-1,11), It is a maximum value.

Given the equation of the parabola;

-x² - 2x + 10 = 0

First, the maximum of a quadratic function occurs at;

x = -b/a, if a is negative, the maximum value of the function is f( -b/2a)

f_max(x) = ax² + bx + c occurs at;

x = -b/2a

Now, find the value of x = -b/2a

Plug in a = -1 and b = -2

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

x = -( -2/-2) )

x = -( 1 )

x = -1

Hence;

f(x) = -x² - 2x + 10

f( -1 ) = -( -1 )² - 2( -1 ) + 10

f( -1 ) = -1 + 2 + 10

f( -1 ) = -1 + 12

f( -1 ) = 11

Therefore, maximum occurs at (-1,11).

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The number of months Mark can have the phone is given by the equation

A = 11.4 months

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number of months be represented as = A

Now , the equation is

Now , the total amount with Mark = $ 146.43

The initial amount for the smartphone = $ 33

The amount per month for 2GB is = $ 9.95

So , the amount for A months = $ 9.95 ( A )

So , the equation will be

Initial amount for the smartphone + the amount for A months = total amount with Mark

Substituting the values in the equation , we get

33 + 9.95 ( A ) = 146.43   be equation (1)

On simplifying the equation , we get

Subtracting 33 on both sides of the equation , we get

9.95 ( A ) = 113.43

Divide by 9.95 on both sides of the equation , we get

A = 11.4 months

Therefore , the value of A is 11.4 months

Hence , the number of months is 11.4 months

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Answer:

a

Step-by-step explanation: