Factor completely 2x2 + 2x − 24.

The area of the shaded region between a larger circle with a radius of 4 cm and a smaller circle with a radius of 2 cm is 12π cm². This is calculated by subtracting the area of the smaller circle from the area of the larger circle.

This concerns the area of the shaded area between two circles, one with a radius of two centimetres and the other with a radius of four centimeters.

In order to determine this, we first compute the area of each circle using the formula πr², where r is the circle's radius.

Let's start by calculating the area of the bigger circle: π(4cm)² = 16π cm² is the area.

In a similar manner, we can calculate the smaller circle's area: π(2cm)² = 4π cm² is the area.

The area of the shaded region is equal to the area of the larger circle minus the area of the smaller circle, or area = 16π cm² - 4π cm² = 12π cm².

Answer:

128

Step-by-step explanation:

2*4*4*4= 128

Answer: Option D

( D) 128

Step-by-step explanation:

Answer:

Step-by-step explanation:

Look at the picture.

The graph of an exponential function  [tex]f(x)=a^x[/tex], a > 0

is above the x-axis and lie in I and II Quarter.

difference=3a

so an=-6a+(n-1)3a

=3an-9a

Answer:

Option D. [tex]a_{n}=3an-9a[/tex] is the answer.

Step-by-step explanation:

The given sequence is -6a, -3a, 0a, 3a, 6a...........

Since the given sequence is having a common difference d = -3a - (-6a) = -3a + 6a = 3a

Therefore, the given sequence is an arithmetic sequence.

And for an arithmetic sequence general rule or explicit formula is given by

[tex]T_{n}=a+(n-1)d[/tex]

Where a = first term of the sequence

d = common difference

n = number of term which we have to find

Now we put the values from the given sequence

[tex]T_{n}=-6a+(n-1)3a[/tex]

[tex]T_{n}=-6a+3an-3a[/tex]

[tex]T_{n}=3an-9a[/tex]

Option D. [tex]a_{n}=3an-9a[/tex] is the answer.

Answer:

A. y=-3x + 29

Step-by-step explanation:

The slope shows up in the equation as the coefficient of x. Only answer choice A has an x-coefficient of -3. It also happens to describe a line that goes through (7, 8).

y = -3x +29

___

Check

y = -3·7 +29 = -21 +29 = 8 . . . . as required

Answer:

A

Step-by-step explanation:

The equation of a line in slope- intercept form is

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

here m = - 3, so

y = - 3x + c ← is the partial equation of the line

To find c substitute (7, 8) into the partial equation

8 = - 21 + c ⇒ c = 8 + 21 = 29

y = - 3x + 29 → A

Find the Greatest Common Factor (GCF)

GCF = 2xy

Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)

2xy(8x^3y/2xy + -8x^2y/2xy + -30xy/2xy)

Simplify each term in parenthesis

2xy(4x^2 - 4x - 15)

Split the second term in 4x^2 - 4x - 15 into two terms

2xy(4x^2 + 6x - 10x - 15)

Factor out common terms in the first two terms, then in the last two terms;

2xy(2x(2x + 3) -5(2x + 3))

Factor out the common term 2x + 3

= 2xy(2x + 3)(2x - 5)

[tex] \frac{3.4}{5.1} = 0.666667[/tex]

Your answer is 0.6 repeating

he has to make a bank account and it'll help in the long run

Answer:

choosing 1 red marble

choosing 1 white marble, replacing it, and choosing another white marble

and choosing 1 white marble

Answer:

in order

Step-by-step explanation:

1)  1

2) 5

3) 2

You are looking for the x values of this "rule". It gives you the y-values so all you have to do is plug the y-values into the rule and solve for x

y = 4 so...

4 = x + 3

4 - 3 = x + (3-3)

1 = x + 0

x = 1

When y is 4 then x is 1

y = 8 so...

8 = x + 3

8 - 3 = x + (3 - 3)

x = 5

When y is 8 then x is 5

y = 5 so...

5 = x + 3

5 - 3 = x + (3 - 3)

2 = x + 0

x = 2

When y is 5 then x is 2

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

[tex]\large\boxed{A.\ \dfrac{1}{x^2y^2}}[/tex]

Step-by-step explanation:

[tex]\dfrac{x^0y^{-3}}{x^2y^{-1}}=\dfrac{1\cdot\dfrac{1}{y^3}}{x^2\cdot\frac{1}{y}}=1\cdot\dfrac{1}{y^3}\cdot\dfrac{1}{x^2}\cdot\dfrac{y}{1}=\dfrac{1}{y^2x^2}[/tex]

[tex]\text{Used}\\\\a^0=1\ \text{for all real numbers except 0}\\\\a^{-n}=\dfrac{1}{a^n}[/tex]

Answer:

h = 10 m

Step-by-step explanation:

We are given the following formula of the area of a trapezoid:

[tex]A=\frac{1}{2} (b+c)h[/tex]

where [tex]h[/tex] is the height of the trapezoid and [tex]b[/tex] and [tex]c[/tex] are its bases.

Re-arranging the given formula to solve for h:

[tex]A=\frac{1}{2} (b+c)h[/tex]

[tex]2A=(b+c)h[/tex]

[tex]h=\frac{2A}{(b+c)}[/tex]

Finding the height of the trapezoid given the bases 20 m, 7 m and area 135m^2.

[tex]h=\frac{2 \times 135}{(7+20)}[/tex]

h = 10 m

ANSWER

h=10m

EXPLANATION

The given formula is

[tex]A = \frac{1}{2} (b + c)h[/tex]

We multiply through by 2 to get,

[tex]2A =(b + c)h[/tex]We divide both sides by (b+c) to get,

[tex] \frac{2A}{b + c}=h[/tex]

Or

[tex]h=\frac{2A}{b + c} [/tex]

[tex]h=\frac{2 \times 135}{20 + 7} [/tex]

We simplify to get,

[tex]h=\frac{270}{27} [/tex]

Therefore

[tex]h = 10[/tex]

Now if b=20, c=7 and A=135, then,

Answer:

h(x) = –5 |x| + 10

k(x)=1/4(x-4)^2+4

m(x)=1/4 |x-8| +6

Step-by-step explanation:

The given function is:

g(x) = |x + 3| + 4

At y-intercept x=0,

g(0) = |0 + 3| + 4

g(0) = 3 + 4=7

The y-intercept of this function is 7.

We look for the functions with y-intercepts greater than 7.

[tex]f(x)=-2(x-8)^2[/tex]

[tex]f(0)=-2(0-8)^2[/tex]

[tex]f(0)=-128[/tex]

h(x) = –5 |x| + 10

h(x) = –5 |0| + 10=10

[tex]j(x)=-4(x+2)^2+8[/tex]

[tex]j(0)=-4(0+2)^2+8=-8[/tex]

[tex]k(x)=\frac{1}{4}(x-4)^2+4[/tex]

[tex]k(0)=\frac{1}{4}(0-4)^2+4=8[/tex]

m(x)=1/4 |x-8| +6

m(0)=1/4 |0-8| +6=8

Answer with explanation:

The given function is

  g(x)=|x+3|+4

The meaning of Y intercept is the distance between origin and Point where the curve cuts Y axis.

In , g(x), put x=0

g(0)=|0+3|+4

   =3+4

   =7

So, Length of Y intercept =7 unit

2.

f(x)=-2(x-8)²

f(0)=-2×(0-8)²

     = -2 × 64

      = -128

Length of Y intercept =-128 unit

3.

h(x)=-5|x|+10

h(0)=-5 × |0| +10

       =10

Length of Y intercept =10 unit

4.

j(x)=-4(x+2)²+8

j(0)=-4×(0+2)²+8

     =-4 × 4+8

    = -16 +8

    = -8

Length of Y intercept =-8 unit

4.

[tex]\rightarrow k(x)=\frac{1}{4} \times (x-4)^2+4\\\\\rightarrow k(0)=\frac{1}{4} \times (0-4)^2+4\\\\\rightarrow k(0)= 4+4\\\\=8[/tex]

Length of Y intercept =8 unit

5.

[tex]\rightarrow m(x)=\frac{1}{4} \times |x-8|+6\\\\\rightarrow k(0)=\frac{1}{4} \times |0-8|+6\\\\\rightarrow k(0)= 2+6\\\\=8[/tex]

Length of Y intercept =8 unit

⇒ h(x),k(x) and m(x) has y intercept greater than y-intercept of the function g(x) = |x + 3| + 4.

Answer:

2k^2 + 12.

Step-by-step explanation:

(1/2k)(4k) + 12

= 1/2 *4 k^2 + 12

= 2k^2 + 12.

Answer:

Step-by-step explanation:

1/2k (4k) + 12= 0

4k/2k + 12 = 0

2k + 12 = 0

2k = -12

Divide by 2 on both sides

K = -6

Answer:

The answer would be 75 because of cross multiplication.

Answer:

75

Step-by-step explanation:

125/80=1.5625

48x1.5625=75

The first option is correct: we have

[tex]\left(k^{\frac{1}{8}}\right)^{-1} = \dfrac{1}{k^{\frac{1}{8}}} = \dfrac{1}{\sqrt[8]{k}},\quad \left(k^{-1}\right)^{\frac{1}{8}} = \left(\dfrac{1}{k}\right)^{\frac{1}{8}} = \dfrac{1}{\sqrt[8]{k}}[/tex]

The second option is also correct, because it simply applies the definition

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

The third option is also correct, because it applies the rule

[tex](a^b)^c = a^{bc}[/tex]

The expressions equivalent to (k^(1/8))^(-1) are (k^(-1))^(1/8) and k^(-1/8), matching options a and c from the given choices. These are determined by correctly applying the exponent multiplication rule.

The student is dealing with an expression involving exponents and radicals, specifically focused on understanding the rules for combining and simplifying these expressions. The expression in question is (k^(1/8))^(-1), which we'll simplify in a step-by-step fashion.

The rule of exponents we need to apply here is (a^m)^n = a^(m*n). When applying this rule to the given expression we get:

(k^(1/8))^(-1) = k^(1/8 * -1)

Simplify the exponent:

k^(1/8 * -1) = k^(-1/8)

So, the equivalent expression is:

k^(-1/8)

Now let's examine the choices given:

Answer:

Answer:

Step-by-step explanation:

6x+4y=14

y=5

6x+4(5)=14

6x+20=14

6x=-6

x=-1

Step 1: Where you see a y in the equation 6x + 4y =14 replace it with 5. This will help you find x

6x + 4(5) = 14

6x + 20 = 14

Step 2: Combine like terms by subtracting 20 to both sides

6x + (20-20) = 14-20

6x = -6

Step 3: Isolate x by dividng 6 to both sides

[tex]\frac{6x}{6} = \frac{-6}{6}[/tex]

x = -1

Point of intersection of these two linse is ( -1 , 5 )

Hope this helped!

For this case we must evaluate [tex]x = 2[/tex] in each of the inequalities and verify if the inequality is met or not:

Option A:

[tex]6x + 20 <29\\6 (2) +20 <29\\12 + 20 <29\\32 <29[/tex]

It is not fulfilled!

Option B:

[tex]7x-10 <11\\7 (2) -10 <11\\14-10 <11\\4 <11[/tex]

Is fulfilled!

Option C:

[tex]14x + 10 <37\\14 (2) +10 <37\\28 + 10 <37\\38 <37[/tex]

It is not fulfilled!

Option D:

[tex]15x-18 <12\\15 (2) -18 <12\\30-18 <12\\12 <12[/tex]

It is not fulfilled!

So, option B is correct, inequality is met

ANswer:

Option B

Final answer:

Upon substituting x with 2 in each of the given inequalities, option B (7x − 10 < 11) is the only true inequality, making it the correct answer.

Explanation:

To determine which inequality is true for x = 2, let's substitute x with 2 in each option:

Therefore, option B) 7x − 10 < 11 is the true inequality when x = 2.

Answer:

12 cm

Step-by-step explanation:

The total surface area of the cone = area of base + area of curved surface

Subtract the base area from total area, that is

πrs = area - πr²

r is the radius and s the slant height

πrs = 417.8 - (π × 7²) = 263.86

Divide both sides by πr

s = [tex]\frac{263.86}{7\pi }[/tex] ≈ 12 cm

Answer:

In an isosceles right triangle, the hypotenuse is larger than the sides by a factor of the square root of 2.

So, if the hypotenuse is 8 then the sides are 8 / (sq root of 2) = 5.6568542495

Step-by-step explanation:

Answer:

37

Step-by-step explanation:

Pamela's age can be repesented with the variable, p .

Pamela is 11 years younger than Jerry. Jerry's age can be represented with the expression p + 11.

So,

Pamela: p

Jerry: p + 11

If their total, combined age is 63, the following equation can be used to represent their ages.

p + (p + 11) = 63

Now, solve.

p + (p + 11) = 63

p + p + 11 = 63

2p + 11 = 63

2p = 52

p = 26

Now, remember that 26 is how old Pamela is. We're looking for Jerry's age.

We established before that Jerry's age can be represented with the expression p + 11.

We know what p is, so substitute the value of p into the equation.

p + 11

26 + 11

37

So, Jerry is 37 years old.

If you'd like to double check your answer, add 37 [Jerry's age] and 26 [Pamela's age] and you get 56.

I hope this helps you!!! :)

I'm going to assume you're saying 3x to the power of 2. So first, apply the values of the variables to the equation just as shown:

3(-5)^2 - |-2|

So first, do -5 to the power of 2:

(-5)(-5)=25

Then, multiply 3 to 25:

3*25=75

Now, the absolute value of y is the absolute value of -2. The aboslute value of any number is its positive value, so now we are left with 75-2

75-2=73

73 is your answer.

Answer:no

Step-by-step explanation: if they are all under the bus canopy they obviously take the bus make the data bias

Answer:

20,030,000

Step-by-step explanation:

You find 10⁷ times 2. then 10⁴ times 3. then add them together

8 + 4 (2x+7) = 2 (2+6x), 4 (2x+7) + 8 = 2 (6x+2), (4 x 2x + 4x7) + 8 = 2 (6x+2)

x = 9

Answer:

x = 18.

Step-by-step explanation:

x / 1.2 = 15

To isolate x we multiply both sides of ther equation by 1.2:

x = 15 * 1.2

x =  18 (answer).

For this case we must find the value of the variable "x" of the following equation:

[tex]\frac {x} {1.2} = 15[/tex]

To do this, we must multiply both sides of the equation by "1.2":

[tex]\frac {x} {1.2} * 1.2 = 15 * 1.2\\x = 18[/tex]

Thus, the value of the variable x is 18.

Answer:

[tex]x = 18[/tex]

Answer:

Well to find the Mean you Add all of the numbers up and Divide by How many numbers there are

The sample mean is 26 mins and the population mean is 23 mins.

An average of a group of data is referred to as a sample mean.

The population mean is an average of a group characteristic.

The population mean = 23 minutes(given)

Sample mean = (25 + 33 + 26 + 29 + 17 + 29 + 42 + 19 + 15 + 52 + 11 + 14) / 12

Sample mean = 312 / 12

Sample mean = 26 minutes

Hence, the value of sample mean is 26 minutes and the value of population mean is 23 minutes.

Learn more about mean on:

https://brainly.com/question/1136789

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The answer would be c

Answer:

a) Samuel has a better credit score, so his interest rate is lower.

Step-by-step explanation:

Alan and Samuel both are same age and make same amount of money.

They both have a 30-year mortgage. But Alan pays 5 percent interest, while Samuel only pays 3.5 percent.

There correct answer here will be - Samuel has a better credit score, so his interest rate is lower.

When a person has a good credit rating, that means he has never defaulted any payment and has always paid his loan on time. He must be a trusted customer for the bank that is why he got a lower interest rate than Alan.

Answer: the exact form would be 14/9, decimal form would be 1.5 and the mixed number for would be 1 5/9

Step-by-step explanation:

Answer:

1 5/9

Step-by-step explanation:

3 1/2 divided by 2 1/4

convert to fractions; 7/2 divided by 9/4

invert the last fraction; 7/2 * 4/9

cross multiply; 7/1 * 2/9

multiply; 14/9

Convert to a mixed number; 1 5/9