Your friend claims that in the equation y = ax² + c. the vertex changes when the value of c changes. Is your friend correct? Explain your reasoning.​

Answer:

12

Step-by-step explanation:

its the same as 24 divided by 2

Based on the above, we need a little less than two cupcakes (1.99) to have the amount of cupcakes everyone wants.

To identify the amount of cupcake that each one wants, we must make the divisions of the fractions as shown below:

1/3 = 0.33

1/3 = 0.33

4/3 = 1.33

Based on the above, me and my sister require 0.33 from a cupcake, while our cousin requires 1.33. To know how many cupcakes we need to meet everyone's need, we must add these values as shown below:

0.33 + 0.33 + 1.33 = 1.99

So 1.99 cupcakes would be needed so it would be better to buy 2 cupcakes to give everyone the portion they need.

Note: This question is incomplete because there is some information missing. Here is the complete information:

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Answer: 3.73

Step-by-step explanation: Search math w ay on the internet

The value of x is 22.

Given is a parallelogram ABCD, in which angle B and C are 4x+12 and 3x+14, we are asked to find the value of x,

We can make use of the fact that a parallelogram's adjacent angle sum equals 180 degrees.

According to the given information, the adjacent angles B and C are 4x + 12 and 3x + 14, respectively.

The equation:

(4x + 12) + (3x + 14) = 180

Combine like terms:

7x + 26 = 180

Subtract 26 from both sides:

7x = 154

Divide both sides by 7:

x = 22

Therefore, the value of x is 22.

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Answer:

1 and a half  grains

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

I can't see the rest of the question but im assuming it's asking how many people there are so you add the 6 and 4 together which makes 10 and divide 130 by 10 because its 10 ounces all together for each person which makes 13. I'm really sorry of this is wrong but im assuming that is the answer because that is what the question looks like its asking

Answer:13

Step-by-step explanation:

not sure if correct but

Answer:

3

Step-by-step explanation:

if a=3 then 12-3a = 12-9 = 3

The required time consumed to burn the calories gained from the slice of pizza is 1.36 hr.

Given that,
A slice of pizza supplies 217 kcal (217 cal). if a person weighing 140 lb expends 80 kcal per mile when walking at 2.0 miles per hour.

here,
1 mile = 80 kcal used,
1 kcal used = 1/80 mile
217 kcal used = 217/80 mile = 2.71 miles
Now,
2 miles = 1 hour,
2.71 miles = 2.71/2 hours
2.71 miles = 1.36 hours

Thus, the required time consumed to burn the calories gained from the slice of pizza is 1.36 hr.

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Answer:

  D) 12.4

Step-by-step explanation:

You want the adjacent leg to an angle of 39° in a right triangle with hypotenuse 16.

The relation between the side adjacent to the angle, and the hypotenuse, is ...

  Cos = Adjacent/Hypotenuse

Multiplying by the hypotenuse gives ...

  hypotenuse · cos = adjacent

  16·cos(39°) = x

  12.4 = x

__

Additional comment

Perhaps your teacher is confused. Choice A is correct if the positions of x and 16 are swapped in the figure.

The leg length (x) cannot be greater than the hypotenuse (16), so choices A and C can be eliminated immediately. Answer choice B corresponds to an angle of 33.1°, which is nowhere to be found in this figure.

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Answer:

18, the answer to 8+10 is 18, like you learn in 1st grade

Answer:

18 the answer

hope it helps

Answer: I think it’s 706.50$

Step-by-step explanation:

Answer: 1 number the area is 7200

Step-by-step explanation:

Answer:

Ok

Step-by-step explanation:

Go on your phone download math answper app

The standard form of the equation of the parabola using the given information is:

(y - 8)² = 4(x + 3)

To determine the standard form of the equation of a parabola, we need to understand the relationship between the vertex and the focus. In this case, the vertex is given as (3, -8) and the focus is given as (3, -2).

Since the vertex and the focus share the same x-coordinate (3), we can conclude that the parabola is opening to the right or left. The vertex represents the midpoint between the focus and the directrix.

Given that the vertex is (3, -8), which is 6 units below the focus, we can determine that the directrix is a horizontal line with a y-coordinate of -14. This is calculated by subtracting 6 from the y-coordinate of the focus (-8 - 6 = -14).

Since the parabola is opening to the right, the standard form of the equation is of the form (y - k)² = 4a(x - h), where (h, k) represents the vertex. Plugging in the values, we have (y - 8)² = 4(x + 3), which is the standard form of the equation of the parabola.

The standard form of the equation of the parabola, with the given vertex (3, -8) and focus (3, -2), is (y - 8)² = 4(x + 3). This equation represents a parabola opening to the right, with the vertex as the midpoint between the focus and the directrix.

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Answer:

3rd option: f(x)⇒ +∞ as x⇒-∞ and f(x)⇒ -∞ as x⇒ +∞

Step-by-step explanation:

This is a negative cubic graph, therefore:

Looking at the graph, as x goes towards negative infinity, the y values go toward positive infinity.

On the other hand, as x goes towards positive infinity, the y values go towards negative infinity.

It will take 3 years and 9 months (or approximately 45 months) to settle the loan.

Lush Gardens Co. bought a new truck for $68,000It paid $6,800 of this amount as a down.

The balance was financed at 4.50% compounded semi-annually.

The company makes payments of $1,800 at the end of every month.

We are to find out how long it will take to settle the loan.

The formula for calculating the number of payments is:

n = [ ln(PV/PMT) ] / [ ln(1 + i) ]

Where,n = number of payments

PV = Present Value (in this case, the balance financed which is $61,200)PMT

= Payment amount

= Interest rate per period (semi-annually)ln

= Natural logarithm

Now we can substitute in the values and calculate:

n = [ ln(61200/1800) ] / [ ln(1 + 0.045/2) ]n ≈ 44.61

Since we cannot make fractional payments, we will have to round up to the nearest whole number.

Therefore, the number of payments n is 45.

To find the number of years and months, we divide the number of payments by 12:45 ÷ 12 ≈ 3 years and 9 months

So, it will take 3 years and 9 months (or approximately 45 months) to settle the loan.

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Answer:

Step-by-step explanation:

How to Estimate Aquarium Water Volume

You can estimate the amount of water that a tank can hold by using the volume formula for the shape of your tank. The process is similar to calculating tank volume for other tanks, but the formulas are a bit different for different aquarium shapes.

You’ll need a different formula to find the volume for rectangular, bow front, cylindrical, and other aquarium shapes.

Tank Volume Formulas

See the volume formulas for various aquarium fish tank styles below.

Rectangular Tank Formula

tank volume = l × w × h

l = tank length

w = tank width

h = tank height

Answer:

1=137 2=43 3=137 4=43 5=137 6=43

Step-by-step explanation:

Answer:

2×π×3·4+2×π×32

≈131.94689

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Answer:

132.3

Step-by-step explanation:

A= 2 π r h+2 π r²

A=2×3.14×3×4+2×3.14×3²

A=6.3×3×4+6.3×9

A=75.6+56.7

A=132.3

(π is rounded up to 3.14)

NOTE:

The answer might defer from the calculator answer (which is 131.9) and that is because the value of pi taken by the calculator is the whole value and here it is rounded up to 3.14 which is what you take when calculating manually

Answer: g = w² - 14w + 49

\(w=7-\sqrt{g}\\\\=> \sqrt{g} =7-w \\\\<=>g=(7-w)^{2}=49-14w+w^{2}\)

Step-by-step explanation:

The length of the fabric which Brandon formed a rectangle, is 11 inches.

To find the length of the fabric, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.

In this case, the length of the fabric is one of the other two sides, and the diagonal cut is the hypotenuse. So, we can write the equation:

\(L^2 + 5^2 = 13^2\)

where L is the length of the fabric.

Solving for L, we get:

\(L^2 = 144 - 25 = 119, and L =\sqrt{119} = 11.\)

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Answer: A

Step-by-step explanation:

Convert the equation into quadratic form (y=ax^2+bx+c)

y=-3(x-4)(x+6)   =  y=-3x^2-6x+72

Calculate -b/2a

which is 6/-6=-1

then put the value -1 into the equation for x.  

-3+6+72=75

The answer is therefore A.

Answer:

Square root of 100.  

Step-by-step explanation:

Step-by-step explanation:

We can write 10 as a fraction 10/1, therefore,\(\sqrt{}\)100   is a rational number.

Part A : A rational no. between 5.2 and 5.5 is 5.3.  

It is rational because it can be expressed in the form  

p/q where p and q are integers and q is not equal to 0, which is 53/10

Part B: A rational no. between 5.2 and 5.5 is 5.29150262213

An irrational number between 5.2 and 5.5 is 5.29150262213. It is irrational because there is no pattern that repeats and it cant be written as a fraction of two whole numbers.

Answer:

Step-by-step explanation:

Square root of all prime numbers is irrational.

97 is an prime number. So √97 is an irrational number.

√98 = \(\sqrt{2*7*7}=7\sqrt{2}\)  is an irrational number.

\(\sqrt{99}=\sqrt{3*3*11} =3\sqrt{11}\) is an irrational number

√100 = 10 is a rational number.

Part A:

5.3 is a rational number.

Rational can be written in p/q form and when divided the result will either terminating decimal or non terminating repeating decimal

Part B:

5.3020050......

Irrational numbers are non terminating non repeating numbers

Answer:

What?

Step-by-step explanation:

D.

The coordinates of Room 1314 are given as follows:

(2, 13).

We are going to label the rooms are follows:

Then the coordinates of Room 1314 are obtained applying the proportions in the context of the problem.

Room 1314 is located five-sevenths of the distance from Room 1305 to Room 1324, hence the equation is given as follows:

Z - X = 5/7(Y - X).

Then the x-coordinate is obtained as follows:

x + 8 = 5/7(6 + 8)

x = 10 - 8

x = 2.

The y-coordinate is obtained as follows:

y + 2 = 5/7(19 + 2)

y + 2 = 15

y = 13.

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Answer:

Our calculator limits your interest deduction to the interest payment that would be paid on a $1,000,000 mortgage. Interest rate: Annual interest rate for this

Step-by-step explanation:

The boundary lines are y > -3x + 4: dotted line and  y <= 8x + 1: solid line

From the question, we have the following parameters that can be used in our computation:

y > -3x + 4

y <= 8x + 1

The boundary line for the inequality "<" is a dotted line, which means that the endpoint is not included in the solution set.

The boundary line for the inequality ">=" is a solid line, which means that the endpoint is included in the solution set.

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At one time, the British advanced corporation tax system taxed British companies' foreign earnings at a higher rate than their domestic earnings.

This was put in place to discourage multinational corporations from artificially shifting profits earned in the UK to low-tax jurisdictions. The policy was aimed at preventing companies from avoiding tax by moving profits out of the UK and into tax havens. By imposing a higher tax rate on foreign earnings, the UK government hoped to make it less attractive for companies to engage in profit-shifting practices.

The policy was controversial and faced criticism from some business groups, who argued that it placed an unfair burden on companies operating overseas. However, the government defended the policy as necessary to ensure that companies paid their fair share of tax in the countries where they operated. Eventually, the policy was replaced by a territorial tax system, which only taxes companies on their profits earned in the UK. This change was made to simplify the tax system and make it more attractive for companies to invest in the UK.

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The percent of forest area will be 29.38% in the year 2510.

The function that represents the forest area as a percentage of the land area is f(x) = -0.059x + 31.03.

We want to find out the year when the percentage will be 29.38% using this function.

Let's proceed using the following steps:

Convert the percentage to a decimal29.38% = 0.2938

Substitute the decimal in the function and solve for x.

0.2938 = -0.059x + 31.03-0.059x = 0.2938 - 31.03-0.059x = -30.7362x = (-30.7362)/(-0.059)x = 520.41

Therefore, the percent of forest area will be 29.38% in the year 1990 + 520 = 2510.

The percent of forest area will be 29.38% in the year 2510.

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