I need help with 4 and 5

The true statement concerning the vertex and the axis of symmetry of g(x) = 5x^2 − 10x is that both values are equal

Quadratic equations are second-order polynomial equations and they have the form y = ax^2 + bx + c or y = a(x - h)^2 + k

The equation of the function is given as

g(x) = 5x^2 - 10x

Differentiate the above equation

So, we have

g'(x) = 10x - 10

Set to 0

So, we have

10xx - 10 = 0

Divide through by 10

So, we have

x - 1 = 0

Solve

x = 1

The above is the x coordinate of the vertex and the axis of symmetry

Hence, the true statement concerning the vertex and the axis of symmetry of g(x) = 5x^2 − 10x is that both values are equal

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Answer:

g(x) = 5x^2 − 10x is that both values are equal.

Step-by-step explanation:

2023

Answer: The answer for for angle 3 is 112

Step-by-step explanation: Angle 2 is opposite of Angle 3 which means they equal!

Hope this Helps :D

Answer:

72 miles

Step-by-step explanation:

Let x equal the miles Ken travelled; this is what we need to find.  Our equation is

$30 + $.40x = $58.80

Subtract $30 from both sides

$.40x = $28.80

Divide both sides by $.40

72 miles

Answer:

x=5/7 so (2x + 2x) = 2 6/20

Step-by-step explanation:

48x + 8x + 4 = 44

56x + 4 = 44

44 - 4 = 40

40/56 = 5/7

The numeric value of the function when x = 4 is of: y = 5.

The graph is not given, but researching the problem on a search engine, it is found that a graph that passes through these following points is given by:

(1,10), (2,8), (3,6), (4,5), (5,2), (6,1).

The numeric value of a function is the value of y for the given value of x, hence, we have to look at the value of x on the horizontal axis, and verify the equivalent value of y on the vertical axis.

From the given points in the graph, that we listed in the missing information subsection, we have that the function passes through point(4,5), hence:

Hence:

The numeric value of the function when x = 4 is of: y = 5.

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Answer:

x = 4

Step-by-step explanation:

4(x-3) = 0.5x +2

Multiply both sides by 10

40(x-3) + 5x + 20

Simplify (multiply 40 by x-3)

40x - 120 = 5x + 20

Add 120 to both sides

40x = 5x + 140

Subtract 5x from both sides

35x = 140

Divide 35 on both sides

x = 4

The square of the imaginary number i is -1.

If you multiply a real number by the imaginary unit I which has the characteristic i2 = -1, you get an imaginary number. The imaginary number bi is squared as -b2. Zero is, by definition, both real and fictional.

A number that results from multiplying a non-zero real number by the iota I is an imaginary number. I in this case Equals (-1) or i2 = -1. Finding the square root of negative integers is made easier by using these values. -4i, 6i, I etc. are some instances of imaginary numbers.

i is an imaginary number where,  [tex]i=\sqrt{-1}[/tex]

And so, [tex]i^{2}=-1[/tex]

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Jake put the money in the savings account for about 17.5 years.

Simply explained, a savings account is a place where you can deposit funds and earn interest.

Most people won't pay any tax on their savings interest because it is paid tax-free. Only people with extremely big sums of savings would need to be concerned about this, which is less than 5% of us as basic-rate taxpayers can earn £1,000/year tax-free and higher-rate taxpayers £500.

The interest calculated in a savings account is compound interest:

So let us now calculate the savings rate of interest at 3.5% for the whole time

We know that

[tex]A=P(1+r)^n[/tex]

Where A is the amount , P is the principal , r is the rate and n is the time.

Substituting the values we calculate the value of x.

6400 = 3500 ( 1+0.035 )ⁿ

or, n = 17.54..

So the time required will be about 17.5 years in the savings account.

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Answer:

-2e-9=12m

-2e=12m+9.

e= -(12m+9)/2

The correct expression is  6^(-11).

Exponents and powers are ways used to represent very large numbers or very small numbers in a simplified manner.

Given:

6^(-5) / (6^2)^3

Now, using laws of exponents

(a^m)^n = a^(mn)

6^(-5) / (6^6)

again using laws of exponents

a^m/ a^n= a^(m-n)

So, 6^(-5-6)

=6^(-11)

Hence, the value of 6^(-5) / (6^2)^3 is 6^(-11).

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Answer:

numbers between -13.001 and -13.999

Answer:

4

Step-by-step explanation:

[tex]\frac{2^{15}}{2^{13}}=2^{15-13}=2^2=4[/tex]

If the cost of fabric be at $10.99 a yard, then a 5% yards would cost $0.55

The given parameters are

Cost of fabric = $10.99 per yard

This means that the unit rate of a yard of fabric is $10.99

So, the cost of a 5% yard cost of fabric would be

Cost = 5% * Cost of fabric

The above equation becomes

Cost = 5% * 10.99

Evaluate the product

Cost = $0.55

Hence, if the cost of fabric be at $10.99 a yard, then a 5% yards would cost $0.55

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The inequalities which represent the situations as described in the task content are as follows;

It follows from the task content that the inequalities which correctly represents the situations as described in the task content be determined.

On this note, since the time, t in minutes of a runner who qualifies for the championship must be no more than 55 minutes, it follows that t can be less or at most, equal to 55.

Also, since the yearly earnings of a student must be less than $20,000 per year, it follows that the inequality which represents the situation is;

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Answer:

-4,-3 and 4,5

Step-by-step explanation:

Answer:

What digital/technological features will your futuristic bath/shower time utilize?

Answer:

24

Step-by-step explanation:

Answer:

Step-by-step explanation:

14 mins

this is because if we divide 2 but 1/2 you would get 4

since she can run 1/2 a mile in 3 1/2 mins

we should multiply the 3 1/2 buy 4

this would lead to the answer 14

Answer:

f(2) = -9, and f(-2) = 19

Step-by-step explanation:

Just plug it in.

If  [tex]f(x) =2x^{2} -3x+5[/tex], and you have f(2), and f(- 2), you can do, [tex]f(2) = -2(2^{2} )-3(2)+5[/tex], and [tex]f(-2)=-2(-2^{2} )-3(-2)+5[/tex].

Once you do all the math, you get f(2) = -9, and f(-2) = 19.

Answer:

500 cans

Step-by-step explanation:

Let c be the number of cans.

2.5c = 1,250

c = 500 cans

A problem that would use this equation: y=5x+3 is that the fixed cost of riding a bicycle is $3 and each additional miles cost $5. What will be the total cost for 10 miles.

It should be noted that an equation is used to show the relationship between the variables.

In this case, the problem that would use this equation: y=5x+3 is that the fixed cost of riding a bicycle is $3 and each additional miles cost $5. What will be the total cost for 10 miles.

This will be;

y = 5x + 3

where y = total cost

x = number of miles

y = 5x + 3

y = 5(10) + 3

y = 50 + 3

y = 53

The total cost is $53.

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Answer:

problem that would use this equation: y=5x+3 is that the fixed cost of riding a bicycle is $3 and each additional miles cost $5. What will be the total cost for 10 miles.

How to illustrate the information?

It should be noted that an equation is used to show the relationship between the variables.

In this case, the problem that would use this equation: y=5x+3 is that the fixed cost of riding a bicycle is $3 and each additional miles cost $5. What will be the total cost for 10 miles.

This will be;

y = 5x + 3

where y = total cost

x = number of miles

y = 5x + 3

y = 5(10) + 3

y = 50 + 3

y = 53

The total cost is $53.

Step-by-step explanation:

problem that would use this equation: y=5x+3 is that the fixed cost of riding a bicycle is $3 and each additional miles cost $5. What will be the total cost for 10 miles.

How to illustrate the information?

It should be noted that an equation is used to show the relationship between the variables.

In this case, the problem that would use this equation: y=5x+3 is that the fixed cost of riding a bicycle is $3 and each additional miles cost $5. What will be the total cost for 10 miles.

This will be;

y = 5x + 3

where y = total cost

x = number of miles

y = 5x + 3

y = 5(10) + 3

y = 50 + 3

y = 53

The total cost is $53.

Answer:

The answer should be a=10 and b= 4

Step-by-step explanation:

(x+6)(x+4)=28

x^2 +10x + 24 =28

x^2 + 10x= 28-24

x^2 +10x =4

same as

x^2 + ax = b

Answer:

-4/3

Step-by-step explanation:

Answer:-4/3

Step-by-step explanation:

The most cost-effective choice for buying the item is buying it at a 10 percent discount without sales tax.

A percent discount on a product means that the price of the product is reduced by that percentage.

The full question is that, You want to buy an item that costs $100. Which of these is the most cost-effective choice for buying the item?.

a. using a paid membership card to buy it at a 10 percent discount.

b. buying it online at a 10 percent discount with a $5 shipping charge.

c. buying it at a 10 percent discount without sales tax.

we will calculate the final price in each case to analyze the most cost-effective choice,

In in first case, when using a paid membership card to buy it at a 10 percent discount. we get,

10% of $100 = 10/100×100 = $10

cost = $100 - $10 = $90

On top of this $90 there is the charges of the membership card, therefore the price increases. ( price in first case)

In second case, when buying it online at a 10 percent discount with a $5 shipping charge.

100%-10% = 90%

90% of 100 = $90

Cost: $90 + $5 = $95 ( price in second case)

In third case, when buying it at a 10 percent discount without sales tax.

100% - 10% = 90%

90/100 × 100 = $90. ( price in third case which is minimum as compared to rest of the cases)

Therefore, buying the item at a 10 percent discount without sales tax is the most cost effective method since there is no other cost involved.

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Answer:

2.52224885 x [tex]10^{13}[/tex]

Step-by-step explanation:

4.3 x 5.865695 x [tex]10^{12}[/tex]

25.2224885 x [tex]10^{12}[/tex]

2.52224885 x [tex]10^{13}[/tex]

If ABC pays the invoice on the seventeenth day then the Cash account is debited or credited will be $4500.

A quantity or percentage is taken off the list price of a good that is permitted by a producer, a distributor, a reseller, or by one business to someone else in the same industry.

ABC Corporation has been paid a sum of $4500. Given that the payment takes place on the seventeenth day, or after the reduction period of fifteen days, it must be made in full cash on that day. It will thus be $4500 on that day. As a result, $4500 will be deposited into the Cash Account.

The Cash account is debited or credited will be $4500.

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