AB=BC
Find x:
thank you ❤️

Answer:

689

Step-by-step explanation:

just subtract.

Answer:

x2 + 8

Step-by-step explanation:

The value of the composite function (f - g)(x) is x² + 8.

The correct option is D.

Any function that is created by combining two or more other functions is referred to as a composite function. To put it another way, given two functions, f, and g, the composite function of f and g, denoted as f(g(x)), is a new function that applies g to the input x before applying f to the output of g (x).

Given:

f(x) = 2x² + 1 and g(x) = x² - 7.

To find (f – g)(x), we need to subtract g(x) from f(x):

(f - g)(x) = f(x) - g(x)

where f(x) = 2x² + 1 and g(x) = x² - 7.

Substituting these expressions into the equation, we get:

(f - g)(x) = (2x² + 1) - (x² - 7)

Simplifying the expression on the right-hand side by distributing the negative sign, we get:

(f - g)(x) = 2x² + 1 - x² - 7)

Combining like terms, we get:

(f - g)(x) = x² + 8.

Therefore, (f - g)(x) = x² + 8.

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For any two points that we have, we can find a line that passes through them, so the first part is true, only two points are needed to determine a line.

Then you say:

"why are three ordered pair solutions or points found for a linear equation"

A linear equation is something of the form:

y = a*x + b

Where we assume that you know a and b.

Given that case, we can see that we have infinite solutions.

Suppose that you want to solve this for y, then for each possible value of x you will have a different solution, and you can have infinite values of x there, so there are infinite solutions.

Now, what I think you are asking is:

Why we should use 3 points to check if a relation is linear or not?

Well, exactly for the first thing you said. We always can find a line that passes through two given points, but that is not the case for 3 given points.

So, if in a given relation we use 3 points, and we can see that these are collinear, then we can conclude that the relationship gives a linear equation (ideally you could use more than 3 points, but usually is enough)

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[tex]S_n=\frac{a_1+a_n}{2}\cdot n\\\\a_1=10, \ d=8, \ n=11\\\\a_{11}=a_1+10d=10+10\cdot8=10+80=90\\\\S_{11}=\frac{10+90}{2}\cdot11=\frac{100}{2}\cdot11=50\cdot11=\boxed{550}\\\\\text{Answer}:\text{C})[/tex]

The value of the arithmetic series is 550. The correct answer is C) 550.

To evaluate the arithmetic series, we can use the formula:

Sn = (n/2)(2a1 + (n-1)d)

Given:

a1 = 10 (first term)

d = 8 (common difference)

n = 11 (number of terms)

Plugging the values into the formula:

Sn = (11/2)(2(10) + (11-1)(8))

= (11/2)(20 + 10(8))

= (11/2)(20 + 80)

= (11/2)(100)

= 550

Therefore, the value of the arithmetic series is 550.

The correct answer is C) 550.

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Answer:

10.5 yards after 15 years

Step-by-step explanation:

2.1 feet times 15 years, which equals to 31.5 feet, convert 31.5 feet into yards, so divide it by 0.3, and that equals to approximately 10.5 yards

Answer:

5 words a second because 5÷25 is 5 so in 1 second she reads 5 words

Answer:

x = 1 or

x = - 7

To get rid of the square root. Isolate the square root and it's multiple. Then square both sides to get rid of it. Don't forget to square the multiple, in this case - 2 becomes 4. Solve for x like you normally do.

Answer:

$10.17

Step-by-step explanation:

Mean simply is defined as "average", so the average price of a hamburger across five resturaunts is found by adding all of the prices together and then dividing by the number of prices there are.

9.95 + 12.95 + 8.50 + 8.95 + 10.50 = 50.85 dollars, which then you divide by 5, and end up with the solution: $10.17

Answer:

10.17 ……

10.10

Step-by-step explanation:

Answer:

10.46

Step-by-step explanation:

I wasn't too sure what you meant by this but I solved it the best I could.

5.23(10-8)

5.23(2)

10.46

Answer:

The discount is 5.82

Step-by-step explanation:

To find the amount of the discount

48.50 * 12%

Change to decimal form

48.50 * .12

5.82

The discount is 5.82

Number of cups are 32.

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

A dietitian prepares a high-protein drink for 24 residents.

And, Each drink measures 3/4 cup.

Let number of cups of the drink will she prepare = x

So, We get;

⇒ 3/4 × x = 24

⇒ x = 24 × 4 / 3

⇒ x = 32 cups

Thus, There are 32 total cups of the drink will she prepare.

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Inequalities are used to show the relationship between unequal expressions.

See attachment for the graph of [tex]4x - 5\ge 3[/tex] or [tex]5 - x > 8[/tex]

Given that:

[tex]4x - 5\ge 3[/tex] or [tex]5 - x > 8[/tex]

First, we solve for x.

[tex]4x - 5\ge 3[/tex]

Collect like terms

[tex]4x \ge 3+5[/tex]

[tex]4x \ge 8[/tex]

Divide by 4

[tex]x \ge 2[/tex]

[tex]5 - x > 8[/tex]

Collect like terms

[tex]-x > 8 - 5[/tex]

[tex]-x > 3[/tex]

Divide by -1

[tex]x < -3[/tex]

So, we have:

[tex]4x - 5\ge 3[/tex] or [tex]5 - x > 8[/tex] becomes

[tex]x \ge 2[/tex] or [tex]x < -3[/tex]

The graphs are not given. So, I've added as an attachment, the graphs of [tex]x \ge 2[/tex] or [tex]x < -3[/tex]

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Answer:

215

Step-by-step explanation:

60=50

258=?

258 divided by 60 = 4.3

50 x 4.3 = 215

Answer:

Length 18 yds, Width 9 yds

Step-by-step explanation:

2x + 2x + x + x = 54

Combine like terms

6x = 54

Divide both sides by 6

x = 9

Plug 9 into equation above

2(9) + 2(9) + 9 + 9 =

18 + 18 + 18 = 54

Answer:

the radius will need to be 150/2(pi) feet or roughly 23.87 feet

Step-by-step explanation:

equation for circumference is C = 2(pi)r

divide C (which is 150) by 2(pi)

150/2(pi) roughly equals 23.87.

The length of a ribbon that will cover the edge of the circular drum is 76.98 in

The given parameter:

To find:

The length of a ribbon that will cover the edge of the circular drum is equal to the circumference of the circular drum.

The circumference of the circular drum = 2πr

The circumference of the circular drum = 2 x 3.142 x 12.25

The circumference of the circular drum = 76.98 in

Thus, the length of a ribbon that will cover the edge of the circular drum is 76.98 in

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Answer:

Rule for rotation 180° about the origin:

Given coordinates:

Coordinates of the image, apply the rule above:

1 square meter is equivalent to 0.0001 square centimeter

72.576 cubic inches. in cubic feet is 0.042 cubic feet

Conversion in math is a way of changing the value of an expression using units.

1) In order to change 1 square meter to square centimeters, we will use the conversion

1m = 0.01cm

Taking the square of both sides

(1m)² = (0.01cm)²

1m² = 0.01cm * 0.01cm

1m² = 0.0001cm²

This shows that 1 square meter is equivalent to 0.0001 square centimeter

2) We are to convert 72.576 cubic inches to cubic feet. Using the conversion factor:

1 cubic inch = 0.000578704 cubic feet

72.576 cubic inches = x

Cross multiply

x = 72.576 * 0.000578704

x = 0.042 cubic feet

This shows that 72.576 cubic inches. in cubic feet is 0.042 cubic feet

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Answer:

= 2.8

Step-by-step explanation:

8.3 - 5.5 = 2.8

= 2.8

Answer:

20x30xH=7000

11.6666 , depends on how much you need to round it. if 2 sig figs, round it to 12.

Answer:

Pyramid Height = 3 * Pyramid Volume / Base Area

Height = 3 * 7,000 / (30 * 20)

Height = 21,000 / 600

Height = 35 meters

Step-by-step explanation:

Answer:

1/6?

Let's do it...

( (3^(3/4))/(3^(3/8)) )^4/9

According to indices rules here the denominator and numerator has the same base and they are dividing so the powers will subtract..... Its just a formulae not rocket science so don't freak out.

So ( 3^(3/4 - 3/8)) ^4/9

= ( 3^(3/8)) ^4/9

Again with indices rule the powers will multiply

Which will return us 3^1/6 which corresponds 3^x..... Hence x =1/6

Thank you

[tex] \boxed{ \boxed{x = \frac{1}{6} }}[/tex]

[tex] \hookrightarrow \: {\bigg( \dfrac{3 {}^{ \frac{3}{4} } }{ {3}^{ \frac{3}{8} } } \bigg) }^{ \frac{4}{9} } [/tex]

[tex] \hookrightarrow \: {(3 {}^{ \frac{3}{4} } \div 3 {}^{ \frac{3}{8} } ) } ^{ \frac{4}{9} } [/tex]

[tex] \hookrightarrow \: {(3 {}^{ \frac{3}{4} - \frac{3}{8} } ) }^{ \frac{4}{9} } [/tex]

[tex] \hookrightarrow \:{ (3 {}^{ \frac{3}{8} } ) }^{ \frac{4}{9} } [/tex]

[tex] \hookrightarrow \: 3 {}^{ \frac{3}{8} \times \frac{4}{9} } [/tex]

[tex] \hookrightarrow \: {3}^{ \frac{1}{6} } [/tex]

therefore,

the required value of x is 1/6

Answer:

the width would be 20 inches

Step-by-step explanation:

32 = 8 × x

32 ÷ 8 = 4

so now multiply 5 by 4 which equals 20 inches

You only attached the square. Edit the question to add it, and then I'll edit my answer.

Answer:

3a + 2b + 4c = D

D = Amount Spent

Step-by-step explanation:

[tex]g(x)=\dfrac{x^2-6}{3x+10}\\\\\\g(4)=\dfrac{4^2-6}{3\cdot4+10}=\dfrac{16-6}{12+10}=\dfrac{10}{22}=\boxed{\frac{5}{11}}[/tex]

Answer:

A) 20h+5≥125

Step-by-step explanation:

total amount = flat rate + amount per hour * hours worked

She wants to earn at least 125

125≤ 5 + 20h

Rewriting

5 + 20h ≥ 125

Answer:

Option a. 20h+5≥125 is the correct answer

9514 1404 393

Answer:

  no

Step-by-step explanation:

2π ≈ 6.28

√44 ≈ 6.63

  2π < √44