Is this relation a function? Justify your answer.

Answer:

[tex] - 6 {( - 2)}^{ - 3} {4}^{2} = \frac{ - 6(16)}{ - 8} = \frac{ - 96}{ - 8} = 12[/tex]

The correct answer is B.

Answer:

[tex] g(x) = (x-2)^2 -6(x-2) +3[/tex]

[tex] g(x) = x^2 -4x +4 -6x +12 +3[/tex]

[tex] g(x) = x^2 -10 x +19[/tex]

[tex] g(x) = x^2 -10 x + 25 +19 -25[/tex]

[tex] g(x) = (x-5)^2 -6[/tex]

[tex] y= (x-h)^2 -kk[/tex]

Where h,k represent the vertex and we got:

[tex] (h,k)= (5,6)[/tex]

(5,6)

Step-by-step explanation:

We have this original function given :

[tex] f(x) = x^2 -6x +3[/tex]

And we want to find the vertex for this new function [tex] g(x) = f(x-2)[/tex] and we have:

[tex] g(x) = (x-2)^2 -6(x-2) +3[/tex]

And solving the square we got:

[tex] g(x) = x^2 -4x +4 -6x +12 +3[/tex]

And adding similar terms we got:

[tex] g(x) = x^2 -10 x +19[/tex]

Now we can complete the square like this:

[tex] g(x) = x^2 -10 x + 25 +19 -25[/tex]

[tex] g(x) = (x-5)^2 -6[/tex]

The general equation is given by:

[tex] y= (x-h)^2 -kk[/tex]

Where h,k represent the vertex and we got:

[tex] (h,k)= (5,6)[/tex]

(5,6)

Answer:

3.4

Step-by-step explanation:

Answer:

0<x<8.7

Step-by-step explanation:

for it to be a triangle, sum of two sides must be greater than the largest side.

so, if x is 8.4 or greater, it can't be a triangle since it is greater than the sum of 3.2 and 5.5

a side must be greater than 0

so , 0<x<8.7

Answer:

Friday

Step-by-step explanation:

Just count on your fingers to get Friday

Answer:

Friday

Step-by-step explanation:

think then you will get it

please give me brainly  

Answer:

8.555625.

Step-by-step explanation:

Um, well...

4.5(0.65) is 2.925.

Then from there it is 2.925^x is 8.555625.

Answer:

cm=1500

mm= 15000

hope it helps if you needed help ._.

Step-by-step explanation:

Answer:

1,000 centimeters are in a meter and 10,000 millimeters are in a meter.

Step-by-step explanation:

10 x 100=1,000

1000 divided by 100=10

10 x 1000=10,000

10,000 divided by 1,000=10

Answer:

Adult = 39

Children = 36

Step-by-step explanation:

The total number of people = 75

Cost of adult ticket = $2.75

Cost of children ticket = $2.25

Total receipts = $188.25

Let the number of adult = x

Let the number of children = y

X + y = 75 ......equation (i)

(X × 2.75) + (y × 2.25) = 188.25

2.75x + 2.25y = 188.25.......equation (ii)

To find the numbe of adult and children that attended, we'll have to solve equation (i) and (ii) simultaneously.

From equation 1,

X + y = 75

X = 75 - y......equation(iii)

Put equation (iii) into equation (ii)

2.75*(75 - y) + 2.25y = 188.25

206.25 - 2.75y + 2.25y = 188.25

206.25 - 0.5y = 188.25

Collect liketerms

0.5y = 206.25 - 188.25

0.5y = 18

Y = 18 / 0.5

Y = 36

Put y = 36 into equation (i)

X + 36 = 75

X = 39

Therefore the number of adult is 39 while that of children is 36.

Joshua's 15 ft ladder, if leaned against the wall to reach a height of 14.8 ft, would be at an unsafe angle less than 70° and thus, is not safe to use in this manner.

The student has asked whether Joshua's ladder, which is 15 feet long and is supposed to lean against a wall with the top at 14.8 feet above the ground, will be safe with an angle no greater than 70°. To determine this, we can use the trigonometric function cosine, which relates the adjacent side (the height at which the top of the ladder reaches the wall) to the hypotenuse (the length of the ladder) in a right-angled triangle. The cosine of the maximum safe angle (70°) should therefore be equal to or greater than the ratio of the height of the ladder against the wall (14.8 feet) to the length of the ladder (15 feet).

We calculate the cosine of 70°: cos(70°) ≈ 0.342. Then we calculate the ratio 14.8/15 which equals 0.9867. Since 0.9867 is much greater than 0.342, it means the ladder will form an angle that is less than 70°, which is not within the safe range as per Joshua's requirement.

Therefore, it is not safe for Joshua to lean the ladder in this manner because the angle formed will be steeper than the maximum safe angle of 70°, which may result in the ladder slipping.

Answer:

m= -2

Step-by-step explanation:

The solution is m = -2

Step-by-step explanation:

The given rational equation is

We'll simplify the left hand side first.

The LCD is (m+4)(4-m)

Hence, multiply and divide the first term by 4-m and second by m +4

Use the difference of squares rule

We can now add the numerator

On simplifying, we get

Add the like terms

Multiply and divide left hand side by -1

We can cancel the denominator

Divide both sides by 8

The solution is m = -2

Answer: 2700π

Step-by-step explanation: You've already answered part of the question. I used your info of the small circle(900π) and subtracted it from the big circle(3600π) and got 2700π

Answer:

1 8/11

Step-by-step explanation:

19/11

11 goes into 19 one time with 8 left over

put the 8 over the denominator

1 8/11

1 8/11

is the correct answer.

Answer:

20.

Step-by-step explanation:

We can begin by calculating 20% of 6:

0.2 × 6= 1.2

If 1.2 is 6% of the number, we can set up an equation like this:

0.06x = 1.2

Now, divide on both sides, giving us:

x= 20.

Answer:

choice a is the answer

0.17

Step-by-step explanation:

Answer:

.25

Step-by-step explanation:

.25 is the only one that is equivalent to 11/44

hope this helps ^‿^

Answer:

C) 7c+6s-63

Step-by-step explanation:

set up this equation because you are adding the two expressions

[tex]7c-18+6s-45[/tex]

combine like terms

[tex]7c+6s-63[/tex]

Answer:

The first one is (0.5,1)

second is (1.5,1)

Step-by-step explanation:

I will edit this for the second one sec

Answer:

50 miles

Step-by-step explanation:

60 divided by 30 = 5

5 miles = 10% of the trip

40% of the trip left to go

40% = 20 miles (5 x 4)

30 + 20 = 50

hope this helps!

To find the length of the whole trip, set up a proportion using the given information and solve for the missing variable. The whole trip is approximately 50 miles long.

To find the length of the whole trip, we can set up a proportion using the information given. We know that 60% of the trip is equivalent to 30 miles. We can set up the proportion:

60% / 100% = 30 miles / x

By cross-multiplying, we get:

x = (30 miles * 100%) / 60%

Calculating this, we find that the whole trip is approximately 50 miles long.

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Answer:

x = -7

Step-by-step explanation:

Our function is [tex]f(x) =(x+4)^6(x+7)^5[/tex]. Notice that our possible roots are when x + 4 = 0 and when x + 7 = 0. So, our roots are -4 and -7.

However, the power above x + 4 is even, meaning the graph will simply touch the x-axis at x = -4, but not pass through. The power above x + 7, though, is odd, which means the graph will cross the x-axis.

Thus, the answer is x = -7.

Answer:

x = -7

Step-by-step explanation:

f(x) = (x+4)⁶(x + 7)⁵

The roots are when f(x) = 0

(x+4)⁶ = 0

x = -4 (multiplicity 6)

(x+7)⁵ = 0

x = -7 (multiplicity 5)

The graph is tangential to the x-axis on roots with even multiplicity, crosses tge x-axis at roots with odd multiplicity

This graph cuts/crosses the x-axis at x = -7

We have been given an equation [tex]w=\frac{3}{2}t-1[/tex] that represents umber of walls, w, that Joe can paint in t hours. We are asked to find the number of hours it will take Joe yo paint 7 walls.

To solve our given problem, we will substitute [tex]w=7[/tex] in our given equation as:

[tex]7=\frac{3}{2}t-1[/tex]

Let us solve for t.

[tex]7+1=\frac{3}{2}t-1+1[/tex]

[tex]8=\frac{3}{2}t[/tex]

[tex]8\cdot\frac{2}{3}=\frac{2}{3}\cdot\frac{3}{2}t[/tex]

[tex]\frac{8\cdot2}{3}=t[/tex]

[tex]\frac{16}{3}=t[/tex]

Therefore, it will take [tex]\frac{16}{3}[/tex] hours Joe to paint 7 walls.

This question is about Kamden, a mind-reading alien, guessing whether cards have a star on them using probability and counting.

The subject of this question is Mathematics. Kamden, a mind-reading alien, has each of his friends draw and look at a card, and he tries to guess whether the card has a star on it.

This task involves probability and counting. If there are a total of 'n' cards and 'm' of them have a star on them, the probability of Kamden guessing correctly is m/n.

For example, if there are 10 cards and 3 of them have a star, the probability of Kamden guessing correctly is 3/10 or 30%.

Answer:

6 Pets Cory has

Step-by-step explanation:

Answer:

Cory's family:

3 cats

3 dogs

Step-by-step explanation:

Paula's family-

1 cat

1 dog

Yuri's family:

2 dogs

1 cat

3 lizards

Cory's family:

3 cats

3 dogs

The converse of a theorem is created by reversing the hypothesis and the conclusion of the theorem's statement. The correct multiple-choice answer is 'D. A statement formed by transposing what is to be proved by a theorem and what is given.'

The converse of a theorem is a logical statement where the elements of the theorem's statement are switched. If you have a theorem that states "If A, then B," the converse of that theorem would be "If B, then A." This essentially transposes the hypothesis and the conclusion. In the context of the multiple-choice options provided, the correct answer is D.

A statement formed by transposing what is to be proved by a theorem and what is given. It's important to note that even though a theorem is proven true, its converse is not necessarily true and must be proven separately if it is to be accepted as true.

Answer:

The answer is A

with fractions divide the smaller number over the larger number

1/4 = 1 divided by 4

or

think of the scenario of 4 quarters

1 quarter = 25 cents out of 100 cents

so

1/4 = 0.25

Answer:

I need more information to solve this.

Step-by-step explanation:

Standard form is a formula: if I remember correctly, it is Ax+By=C

I hope I helped somehow!

Answer:

y = 10x + 15

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + b ( m is the slope and b the y- intercept )

Here m = 10 and b = 15, thus

y = 10x + 15

Answer:

[tex]\large\boxed{\tt Area=250in.^{2}}[/tex]

Step-by-step explanation:

[tex]\textsf{We are asked for the area of a Dilated Rectangle.}[/tex]

[tex]\textsf{We are given the dimensions, 5 inches wide and 8 inches in length. Then, we are}[/tex]

[tex]\textsf{given a \underline{Scale Factor}.}[/tex]

[tex]\large\underline{\textsf{What is a Scale Factor?}}[/tex]

[tex]\textsf{A Scale Factor is a term that represents how large the next shape will be. Note}[/tex]

[tex]\textsf{that only sides of a shape are affected by the Scale Factor. Angles, and the form}[/tex]

[tex]\textsf{of the shape remain the same.}[/tex]

[tex]\underline{\textsf{Example;}}[/tex]

[tex]\textsf{We are given a rectangle with 5 cm. as the length, and 6 cm. as the width.}[/tex]

[tex]\textsf{The Scale Factor is 2.}[/tex]

[tex]\textsf{We will multiply the dimensions of the triangle by 2, then find the area.}[/tex]

[tex]\large\boxed{\tt Area = Length \times Width}[/tex]

[tex]\tt Area=(5 \times 2) \times (6 \times 2)[/tex]

[tex]\tt Area=10 \times 12[/tex]

[tex]\large\boxed{\tt Area=120cm^{2}}[/tex]

[tex]\large\underline{\textsf{For our problem;}}[/tex]

[tex]\textsf{We should start solving for the dilated area after multiplying the dimensions by}[/tex]

[tex]\textsf{the Scale Factor.}[/tex]

[tex]\textsf{Remember That You Should Not Multiply The Scale Factor By The Area.}[/tex]

[tex]\large\underline{\textsf{Solving;}}[/tex]

[tex]\textsf{Multiply the dimensions by the Scale Factor.}[/tex]

[tex]\tt Area=(5 \times 2.5) \times (8 \times 2.5)[/tex]

[tex]\underline{\textsf{This will evaluate to;}}[/tex]

[tex]\tt Area=12.5 \times 20[/tex]

[tex]\large\boxed{\tt Area=250in.^{2}}[/tex]

The area of the picture after being enlarged by a scale factor of 2.5 will be 250 square inches, which is determined by multiplying the new dimensions (12.5 inches by 20 inches). The correct answer is option b) 250 in².

To find the new area of the picture after enlargement, we use the scale factor. First, we find the original area of the picture by multiplying the width by the height: 5 inches * 8 inches = 40 [tex]in^2[/tex]. The photographer wants to enlarge the picture by a scale factor of 2.5. This means that both the width and the height of the picture will be multiplied by 2.5.

So the new width will be 5 inches * 2.5 = 12.5 inches and the new height will be 8 inches * 2.5 = 20 inches. Now we can calculate the enlarged picture's area:

12.5 inches * 20 inches = 250 [tex]in^2[/tex]. Therefore, the area of the picture after enlargement will be 250 square inches, which corresponds to option (b).

Answer:

Step-by-step explanation:

Answer is B. 8

The value of b such that the determinant is 24 will be 8.

matrix, a collection of numbers lined up in rows and columns to produce a rectangular array. The elements of the matrix, also known as the entry, are the numerals.

Matrix applications are crucial in many fields, including computer graphics, where they have been used to explain image transformations and other adjustments.

Given the matrix,

Its determinant will be

-5( -42 + 4b ) - 4(30 - 24 ) + 1(5b - 42 ) = 24

-15b + 144 =  24

15b =  120

b = 8

Hence the value of b will be 8.

For more about matrices

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Jason's initial share was £360 before giving 45% to his mum. The total money shared was £1800. Katy receives £864 more than Jason.

First, we need to find out how much money Jason initially received before he gave away 45% to his mum. Since £198 is 55% of his initial share (100% - 45% = 55%), we can find the full amount by calculating £198 ÷ 0.55. This gives us Jason's total share before he gave any money to his mum, which is £360.

Given that Jason gets 1/5 of the money, we multiply his share by 5 to find the total amount of money shared, which is £360 × 5 = £1800. Since Jason took his 1/5 share, the remaining 4/5 is shared between Katy and Leonard in the ratio 17:3. Hence, the combined share of Katy and Leonard is 17 + 3 = 20 parts of the remaining money.

To find out how much each part is worth, we divide the remaining money by 20. The remaining money is 4/5 × £1800 = £1440, so each part is worth £1440 ÷ 20 = £72.

Hence, Katy receives 17 parts × £72 = £1224, and Leonard receives 3 parts × £72 = £216. The difference in the amount received by Katy compared to Jason is £1224 - £360 = £864, so Katy receives £864 more than Jason.

Betsy is incorrect as he wrote [tex]3^4[/tex] = 12 but it should be 81.

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

For example, if we have to show 3 x 3 x 3 x 3 in a simple way, then we can write it as [tex]3^4[/tex], where 4 is the exponent and 3 is the base.

Given:

Expression: (8 + 18) x [tex]3^4[/tex]

Now, solving the Above Expression

(8 + 18) x [tex]3^4[/tex]

= 26 x [tex]3^4[/tex]

= 26 x ( 3.3.3.3)

= 26 x 81

= 2106

Betsy make a mistake as he wrote [tex]3^4[/tex] = 12 but it should be 81.

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Answer:

It is 4 years

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