The sum of two numbers is 28. The first number, x, is three
times the second number, y.

Answer:

7 : 8

Step-by-step explanation:

Given 2 similar figures with circumference ratio a : b

Then the ratio of the corresponding areas = a² : b²

Here the ratio of areas = 49 : 64

Taking the square root of both gives ratio of circumference

ratio of circumference = [tex]\sqrt{49}[/tex] : [tex]\sqrt{64}[/tex] = 7 : 8

Answer:

2/3 chance (67%)

Step-by-step explanation:

Multiples of 5:

(5)

Multiples of 2:

(2)

(4)

(6)

This is a 4/6 chance or 2/3

[tex]|\Omega|=6\\|A|=3+1=4\\\\P(A)=\dfrac{4}{6}=\dfrac{2}{3}\approx67\%[/tex]

Answer:

Step-by-step explanation:

The vertex form of a parabola:

[tex]y=a(x-h)^2+k[/tex]

(h, k) - vertex

We have the vertex at (-3, -2) → h = -3 and k = -2.

Substitute:

[tex]y=a(x-(-3))^2+(-2)=a(x+3)^2-2[/tex]

The equation of parabola is , [tex]y= -2(x+3)^{2} - 2[/tex]

[tex]y = a(x- h)^{2} + K[/tex].

According to the question:

Applying  value in equation gives.

[tex]y= -2(x-(-3))^{2} -2\\[/tex]

                 [tex]y= -2(x+3)^{2} - 2[/tex]

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Answer:

[0, -1]

Step-by-step explanation:

According to the Slope-Intercept Formula y = mx + b, b is your y-intercept, and in the above raisin, you have your answer in place of that b.

Answer:

[0, -1], or just -1

Answer:

She payed $34.60.

Step-by-step explanation:

It cost $19.60, just to rent the bike.

Then multiply $6 × 2 (hours) = 12

Now 6 ÷ 2 = 3 (half hour)

Add 12 + 3 = 15

Add everything together

19.60 + 15

You then get $34.60.

She paid $34.60.

The unitary approach is a strategy for problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value.

Given

It cost $19.60, just to rent the bike.

Then multiply $6 × 2 (hours) = 12

Now 6 ÷ 2 = 3 (half hour)

Add 12 + 3 = 15

Add everything together

19.60 + 15

You then get $34.60.

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[tex]12+0i[/tex]

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

Answer:

12+0i

Step-by-step explanation:

We have been given the following functions:

f(x) = 3x - 9

g(x) = x

(G*f) means to multiply the function of g and f together:

x(3x - 9)

3x^2 - 9x

Now multiply the product of the solution above by 5:

5(3x^2 - 9x)

15x^2 - 45x

So,  (g*f)(5) = 15x^2 - 45x

Answer:

6

Step-by-step explanation:

Substitute x = 5 into f(x) then substitute the value obtained into g(x)

f(5) = (3 × 5) - 9 = 15 - 9 = 6, then

g(6) = 6

Hence (g ￮ f)(5) = 6

Answer:

x = - 2 or x = 4

Step-by-step explanation:

To find the x- intercepts let f(x) = 0, that is

(x - 4)(x + 2) = 0

Equate each factor to zero and solve for x

x - 4 = 0 ⇒ x = 4

x + 2 = 0 ⇒ x = - 2

The x- intercepts are at x = - 2, x = 4

Answer:

2+3

Step-by-step explanation:

Answer:

[tex]f(x)=(x-5)^{2}+19[/tex]

Step-by-step explanation:

we have

[tex]f(x)=x^{2}-10x+44[/tex]

Group terms that contain the same variable, and move the constant to the opposite side of the equation

[tex]f(x)-44=x^{2}-10x[/tex]

Complete the square. Remember to balance the equation by adding the same constants to each side.

[tex]f(x)-44+25=x^{2}-10x+25[/tex]

[tex]f(x)-19=x^{2}-10x+25[/tex]

Rewrite as perfect squares

[tex]f(x)-19=(x-5)^{2}[/tex]

[tex]f(x)=(x-5)^{2}+19[/tex]

Let temperature = T

"The temperature stayed above -15 degrees. " means that the temperature is always greater than -15 degrees.

Therefore,

-15 degrees < T

Answer:

Option C. 50 square centimeters

Step-by-step explanation:

we know that

The surface area is equal to the area of four triangles plus the area of rectangle

so

[tex]SA=2[\frac{1}{2}(4)(2)]+2[\frac{1}{2}(6)(3)]+(6)(4)[/tex]

[tex]SA=8+18+24[/tex]

[tex]SA=50\ cm^{2}[/tex]

Answer:

C

Step-by-step explanation:

The total area comprises of the rectangle (area is base * height) and the 4 triangles (area = 1/2 * base * height).

Area of rectangle = 6 * 4 = 24

Area of top triangle = 1/2 * 6 * 3 = 9

Area of bottom triangle = 1/2 * 6 * 3 = 9

Area of rightside triangle = 1/2 * 4 * 2 = 4

Area of leftside triangle = 1/2 * 4 * 2 = 4

Let's add them up and find the correct answer:

Area = 24 + 9 + 9 + 4 + 4 = 50

When Joshua Is 6 he reads 6 books, when he is 7 he reads 12 books, when he turns 8, he reads 24 books, when he turns 9 he reads 48 books, when Joshua turns 10 he reads 96 books

6+12+24+48+96=186

The answer is C

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Answer:

Joshua read 186 books form 6 to 10 years of age.

Step-by-step explanation:

Joshua reads 6 books at the age of 6.

He doubled the number of books he read the previous years.

Now the sequence will be a geometric sequence as

6, 12, 24, ......

We have to calculate the number of books he read from 6 years to 10 years of his age.

Since sum of n terms of a geometric sequence is given by

[tex]S_{n}=\frac{a(r^{n}-1 )}{r-1}[/tex]

where a = first term

r = common ratio

n = number of terms

[tex]S_{5}=\frac{6(2^{5}-1 )}{2-1}[/tex]

   = [tex]\frac{6(32-1)}{1}[/tex]

   = 6×31

   = 186 books

Therefore Joshua read 186 books form 6 to 10 years of age.

Answer:

C. >

Step-by-step explanation:

The answer is C. because 65 is greater than 56!

Step-by-step explanation:

Answer:

Octagon

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides, so

180° (n - 2) = 1080° ( divide both sides by 180° )

n - 2 = 6 ( add 2 to both sides )

n = 8 ← octagon

Answer:

[tex]x^2-10x+2[/tex]

Step-by-step explanation:

Multiply out the two monomials first because of PEMDAS.

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

Now add them together.

[tex]3x^2-11x-4-2x^2+x+6=x^2-10x+2[/tex]

Answer:

     g(-1) = 5 - 4 = 1

Step-by-step explanation:

Please use " ^ " to denote exponentiation:  g(x) = x^3 + 6x^2 + 12x + 8.

Substitute -1 for x in this equation:                 g(-1) = (-1)^3 + 6(-1)^2 + 12(-1) + 8

Then:                                                            g(-1) = -1 + 6 - 12 + 8, or

                                                                     g(-1) = 5 - 4 = 1

Answer:

The answer is C

Step-by-step explanation:  

I just took the test and got it right.

Hopefully this helps you :)

pls mark brainlest ;)

Answer:

Inverse of y=x^3 is f^-1(x) = ∛x

Step-by-step explanation:

We need to find the inverse of y=x^3

Step 1:

Interchange the variables:

x= y^3

Step 2: Now solve to find the value of y

=> y^3 = x

taking cube root on both sides of the equation

∛y^3 = ∛x

y=∛x

Step 3: Replace y with f^-1(x)

f^-1(x) = ∛x

So inverse of y=x^3 is f^-1(x) = ∛x

Answer:

x = 44

Step-by-step explanation:

log4(x + 20) = 3

Raise each side to the power of 4

4^ log4(x + 20) = 4^3

x+20 = 4^3

x+20 = 64

Subtract 20 from each side

x+20-20 = 64-20

x = 44

Answer:

They can be congurent depending on which two figures you are using

Step-by-step explanation:

Answer:

= 2a³b - 2ab² + a²b - b³

Step-by-step explanation:

We multiply the each term in the first polynomial by each in the other as follows.

2ab(a² - b²) + b(a² - b²)

We then open the brackets and get the following.

2a³b - 2ab² + a²b - b³

We can not simplify the product further than this since it has no like terms.  

Answer:

First is C

Second is 2

Step-by-step explanation:EDGE 2021

Answer:

The measure of arc AC  is equal to 33°

Step-by-step explanation:

we know that

The inscribed angle measures half that of the arc comprising

so

∠ABC=(1/2) arc AC

substitute the values

(2.5x+4)=(1/2)(7x-2)

solve for x

5x+8=7x-2

7x-5x=8+2

2x=10

x=5

Find the measure of arc AC

arc AC=(7(5)-2)=33°

Final answer:

The measure of arc AC can be calculated by using the inscribed angle theorem and solving the equation 2×(2.5x + 4) = 7x - 2, which represents the relationship between the inscribed angle and its intercepted arc.

Explanation:

To determine the measure of arc AC, we need to consider the relationship between the inscribed angle of a circle (ABC in this case) and the corresponding arc (arc AC).

By the inscribed angle theorem, the measure of an inscribed angle is half the measure of its intercepted arc. This relationship allows us to set up the equation (2.5x + 4) degrees = 0.5×((7x-2) degrees).

By solving this equation, we can find the value of x, and consequently, the measure of arc AC.

substitute the values

(2.5x+4)=(1/2)(7x-2)

solve for x

5x+8=7x-2

7x-5x=8+2

2x=10

x=5

Find the measure of arc AC

arc AC=(7(5)-2)=33°

Answer: [tex]\frac{y-4}{6}[/tex]

Step-by-step explanation:

To find the quotient asked, you need to make the division indicated.

You can follow these steps:

1. Find the reciprocal of [tex]\frac{6}{y}[/tex]. You need to turn it upside down. Then you get that the recriprocal is:

[tex]\frac{y}{6}[/tex]

2. Now you must multiply [tex]\frac{y-4}{y}[/tex] by  [tex]\frac{y}{6}[/tex]:

[tex](\frac{y-4}{y})(\frac{y}{6})=\frac{(y-4)(y)}{(y)(6)}[/tex]

3. Simplifying, you get that the quotient is:

[tex]=\frac{y-4}{6}[/tex]

ANSWER: -252

HOW TO GET IT:

Simply follow PEMDAS. Solve each exponent first, then do the rest.

Answer:

144

Step-by-step explanation:

5-7 = 2 2^2 + 6 = 10 - 7 = 3^2 = 9 + 10 = 19 - 7 = 12^2 = 144

I hope this helps even if I am too late! :)

Answer:

[tex]x^\frac{5}{3} y^\frac{1}{3}[/tex]

Step-by-step explanation:

This question is on rules of rational exponential

where the exponential is a fraction, you can re-write it using radicals where the denominator of the fraction becomes the index of the radical;

General expression

[tex]a^\frac{1}{n} =\sqrt[n]{a}[/tex]

Thus    [tex]\sqrt[3]{x} =x^\frac{1}{3}[/tex]

Applying the same in the question

[tex]\sqrt[3]{x^5y} =x^\frac{5}{3} y^\frac{1}{3}[/tex]

=[tex]x^\frac{5}{3} y^\frac{1}{3}[/tex]

Answer: Second option

[tex](x^5y)^{\frac{1}{3}} = x^{\frac{5}{3}}y^{\frac{1}{3}}[/tex]

Step-by-step explanation:

By definition we know that:

[tex]a ^{\frac{m}{n}} = \sqrt[n]{a^m}[/tex]

In this case we have the following expression

[tex]\sqrt[3]{x^5y}[/tex]

Using the property mentioned above we can write an equivalent expression for [tex]\sqrt[3]{x^5y}[/tex]

[tex]\sqrt[3]{x^5y} = (x^5y)^{\frac{1}{3}}[/tex]

[tex](x^5y)^{\frac{1}{3}} = x^{\frac{5}{3}}y^{\frac{1}{3}}[/tex]

Therefore the correct option is the second option

ANSWER

[tex]^8P_4=1680[/tex]

EXPLANATION

The given permutation is

[tex]^8P_4.[/tex]

Recall the formula for permutation

[tex]^nP_r=\frac{n!}{(n-r)!}[/tex]

We substitute n=8, and r=4 to obtain:

[tex]^8P_4=\frac{8!}{(8-4)!}[/tex]

[tex]^8P_4=\frac{8!}{4!}[/tex]

Recall the factorial expansion

[tex]n! = n \times (n - 1) \times (n - 2)...3 \times 2 \times 1[/tex]

We apply this expansion to get:

[tex]^8P_4=\frac{8 \times 7 \times 6 \times 5 \times 4!}{4!}[/tex]

[tex]^8P_4=8 \times 7 \times 6 \times 5[/tex]

[tex]^8P_4=1680[/tex]

Answer:3g+20 on edg

Step-by-step explanation:

Since the guests equals g and 3 cups per guest it would be 3g+ extra 20 so the answer would be 3g+20

Answer:  It's 81

Step-by-step explanation:

So, if B= 9 then it's 9^2 which is 9 x 9 = 81

Hope my answer has helped you and if not i'm sorry.