Two functions are defined as shown.

f(x) = f(x) equals negative StartFraction 1 Over 2 EndFraction x minus 2. x – 2

g(x) = –1

Which graph shows the input value for which f(x) = g(x)?

A coordinate grid with two lines. One line labeled f(x) passes through (negative 2, 3), (0, 1), and point (2, negative 1). The second line is labeled g(x) and passes through (negative 3, negative 1), (0, negative 1), and point (3, negative 1).

A coordinate grid with two lines. One line labeled f(x) passes through (negative 4, 0), point (negative 2, 0), and (0, negative 2). The second line is labeled g(x) and passes through (negative 3, negative 1), (0, negative 1), and point (3, negative 1).

A coordinate grid with two lines. One line labeled f(x) passes through (negative 4, 1), (negative 2, 0), and point (1.5, negative 1). The second line is labeled g(x) and passes through (negative 3, negative 1), (0, negative 1), and point (1.5, negative 1).

Answer:

at 12 pm they will meet

Step-by-step explanation:

common sense.

Answer: The answer is -3/16

Step-by-step explanation: brainlest please

Answer:

m = 20.00 x (a/8)

m = money

a = apps

Forgive me if this is incorrect, I haven't worked with proportional relationships in a while.

Answer:

y=2.5

Step-by-step explanation:

Answer:

The first one: y = 13

The second one: p = -14

Step-by-step explanation:

4y + 15 = 6y - 11

Add 11 to both sides.

4y + 26 = 6y

Subtract 4y from both sides.

26 = 2y

Divide both sides by 2

y = 13

5p + 6 = 4p - 8

Add 8 to both sides

5p + 14 = 4p

Subtract 5p from both sides.

14 = -1p

Divide both sides by -1

p = -14

Hope I helped :)

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9514 1404 393

Answer:

  2×10¹

Step-by-step explanation:

For division, mantissas divide, and exponents subtract.

  [tex]\dfrac{6\times10^3}{3\times10^2}=\dfrac{6}{3}\times10^{3-2}=\boxed{2\times10^1}[/tex]

Hi!

Lets work through this problem together.

If they have 80 Goldfish in all, and Andrew has 20 more than Todd, that means that means Andrew has i think 60.

Answer:

-13, -3, 0, 19, 20

Step-by-step explanation:

Since |-20| equal 20 so -13 is the lowest

then -3

then 0

19; 20.

Answer:

1) > 2) 4^6 3) 3072

Step-by-step explanation:

Answer: monica says the slope of a vertical line is 0. describe how you would explain mathematically, that she is correct​

Step-by-step explanation: As she loads the boat with the supplies she will need, she ... What is the vertical change between: ... What do you notice about the slope of the line in Items 4a, 4b, and 4c? 6. ... 88 SpringBoard® Integrated Mathematics I, Unit 2 • Linear Functions ... 0 c. Does the function have a constant rate of change? If so, what is it? d.

Answer: b 25p+45>= 8

Step-by-step explanation:

Answer:

Francisco/Franceska made 110 dollars.

Step-by-step explanation:

$8/hr- less than 5yrs

$6/hr- more than 5yrs

10hrs- 2yr old=$80

5hrs- 8yr old= $30

30+80= $110 this week

Answer:

$110

Step-by-step explanation:

Ages 5 and younger- $8

Ages over 5- $6

2 year old-10 hrs= 10x$8=$80

8 year old-5 hrs= 5x$6=$30

$80+$30=$110

Answer:

n=2

Step-by-step explanation:

I believe that n= 2. please correct me if I am wrong.

Answer:

-2

Step-by-step explanation:

one to the right and 2 down

rise over run so

2/1 equals 2 since down two there should be a negative

Answer:

-244

Step-by-step explanation:

(4)(−2)−(−2)(8)−4−248

Answer:

8

Step-by-step explanation:

ab - bc

(4)(-2) - (-2)(8)

= 8

Answer:

chocolate bar - 1 (whole number)

Step-by-step explanation:

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

[tex] \frac{2}{3} - \frac{3}{4} \\ > \frac{2 \times 4}{3 \times 4} - \frac{3 \times 3}{4 \times 3} \\ \\ \\ > \frac{8}{12} - \frac{9}{12} [/tex]

so I switch it become

[tex] \frac{9}{12} - \frac{8}{12} = \frac{1}{12} [/tex]

Answer:

C. 81

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

AP3X

Step-by-step explanation:

i need more things like what's the whole problem?

plus $10

70 yards

will u help meee out

Answer:

What's the question?

Step-by-step explanation:

Answer:

3.82 × 107

Step-by-step explanation:

Move the decimal point in your number until there is only one non-zero digit to the left of the decimal point. The resulting decimal number is a.

Count how many places you moved the decimal point. This number is b.

If you moved the decimal to the left b is positive.

If you moved the decimal to the right b is negative.

If you did not need to move the decimal b = 0.

Write your scientific notation number as a x 10^b and read it as "a times 10 to the power of b."

Remove trailing 0's only if they were originally to the left of the decimal point.

Answer:

C.

Step-by-step explanation.

The unit price of the beef is $5 for 1 pound. Then the correct answer is option C.

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

The given graph is following the linear pattern for the price of the beef. In the graph, the cost of 1 pound of beef is $5 or for 2 pounds it is 10$.

The equation for the linear graph is written as:-

Cost  = $ [ 5 ( Weight )]

Hence, the correct answer is option C.

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Answer:

the exponent would be negative because the original number is less than one

Step-by-step explanation:

example: 0,1= 1.10^-1

The exponent would be negative because the original number is less than one. Option 3 is correct.

In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.

0.0009763 can be written as a single-digit time power of ten by the following representation,

0.0009763 = 9.763×10⁻⁴

The power of the integer 10 is shown as the exponent. Here the value of the power of 10 is -4, as a result, the value of the exponent would be negative and it is due to the fact that the original number is less than one.

Thus, the exponent would be negative because the original number is less than one. Option 3 is correct.

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Answer:

168 adult tickets

Step-by-step explanation:

3.75(82) (82 students)

307.5

2071.5 - 307.5 ( you subtract since you only need to know the number of adults)

1764

1764/10.5 (you divide since each adult is 10.5$)

168

The number of adult tickets sold was 168.

Given that, the tickets cost $10.50 for adults and $3.75 for students. The ticket sales for opening night totaled $2071.50.

Total number of students =82

In algebra, a system of equations comprises two or more equations and seeks common solutions to the equations. "A system of linear equations is a set of equations which are satisfied by the same set of variables."

a is the number of adult tickets sold and b is the number of student tickets sold.

Now, 10.50a+3.75b=2071.50

Put b=82 in the equation 10.50a+3.75b=2071.50 and simplify.

10.50a+3.75×82 =2071.50

⇒10.50a+3.75×82 =2071.50

⇒10.50a+307.5 =2071.50

⇒10.50a=1,764

⇒a=168

Therefore, the number of adult tickets sold was 168.

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Answer:

A = 40°

Step-by-step explanation:

[tex] \sin 3A = \cos (A – 70ᵒ) \\ \\ \cos(90 \degree - 3A) = \cos (A – 70ᵒ) \\ \{\because \: \cos(90 \degree - \theta) = \sin \theta \} \\ \\ (90 \degree - 3A) = (A – 70ᵒ) \\ \\ 90 \degree + 70ᵒ = 3A + A \\ \\ 160 \degree = 4A \\ \\ A = \frac{160 \degree}{4} \\ \\ \huge \red{ \boxed{A = 40 \degree}}[/tex]

Answer:

By using law of total probability:

P(W) = ∑i P(Bi ) P(W/Bi)

          =1/2 .1 + 1/4 .0 + 1/8 .1/2 + 1/8 .3/4

           =1/2 + 0 + 1/16 + 3/32

            = 21/32

          = 0.656

Step-by-step explanation:

B1 contains = two white chips

B2 contain = 2 red chips

B3 contain = 2 white and 2 red chips

B4 contains = 3 white chips and 1 red chips

P(B1) = 1/2

P(B2) = 1/4

P(B3) = 1/8

P(B4) = 1/8

Probability of drawing white chips:

P(W / B1) = 2. 1/2  = 1

P(W/B2) = 0/2 = 0

P(W/B3) = 2/4 = 2

P(W/B4) =3/4

By using law of total probability:

P(W) = ∑i P(Bi ) P(W/Bi)

          =1/2 .1 + 1/4 .0 + 1/8 .1/2 + 1/8 .3/4

           =1/2 + 0 + 1/16 + 3/32

            = 21/32

          = 0.656

The sum of the given infinite series is 432.

The given infinite series is 72+60+50+125/3+.......

The general formula for finding the sum of an infinite geometric series is S=a/r-1, where s is the sum, a1 is the first term of the series, and r is the common ratio.

From the series a=72 and r=60/72 =5/6

So, sum = [tex]\frac{72}{1-\frac{5}{6} }[/tex]

= [tex]\frac{72}{\frac{1}{6} }[/tex]

= 72×6

= 432

Hence, the sum of the given infinite series is 432.

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Answer:16 I think

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

i took the test

Answer:

Answer:

3

√

5

5

Step-by-step explanation:

7x + 1 + 4x - 3 = 42

11x - 2 = 42

add 2 to both sides

11x = 44

divide both sides by 11

x = 4

Hope this helps!

Use a linear approximation to [tex]f(x)[/tex] centered at [tex]x=3[/tex]:

[tex]f(x)\approx f(3) + f'(3)(x-3)[/tex]

Then

[tex]f(5)\approx2.345+\ln(3^2+1)(5-3)\approx6.95[/tex]

which makes C the most likely choice.

Here we want to solve the differential equation, by finding the Taylor expansion of the function and evaluation we will find that f(5) = 6.950, so the correct option is C.

Here we must start by doing a Taylor expansion of the function, remember that the Taylor expansion is given by:

f(x) = f(a) + f'(a)*(x - a) + ...

The series has more terms, but we can work with two to get an estimation, if we use a = 3 we get:

f(x) = f(3) + ln(3^2 + 1)*(x - 3) = 2.345 + ln(10)*(x - 3)

Now we evaluate this in x = 5 to get:

f(5) = 2.345 + ln(10)*(5 - 3) = 6.950

So the correct option is C.

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