find ( f . g) (x) where f(x) = 1/x^2 + 3 and g (x) = sqrt x-2

Answer:4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Answer:

C. -1

Step-by-step explanation:

--------

1. For x+3 ≥ 0 ⇒ x ≥ -3, g(x) = x + 3 - 2

2. For x + 3 < 0 ⇒ x < -3, g(x) = - (x +3) - 2

The addition is one of the four fundamental mathematical operations. Blair's bank balance after spending at the grocery store is -$70.

The addition is one of the four fundamental mathematical operations, the others being subtraction, multiplication, and division. When two whole numbers are added together, the total quantity or sum of those values is obtained.

Given that Blair's bank account was overdrawn by $40. Therefore, we can write her balance before spending at the grocery store as,

Blair's bank balance before spending at the grocery store = - $40

Now, Blair spent $30 at the grocery store. Therefore, she further takes $30 from her account. Thus, we can write Blair's bank balance after spending at the grocery store as,

Blair's bank balance after spending at the grocery store

= Blair's bank balance before spending at the grocery store + Spending

= -$40 + (-$30)

= -$40 - $30

= -$70

Hence, Blair's bank balance after spending at the grocery store is -$70.

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Answer:

Step-by-step explanation:

21 - 6x > 34

-6x > 13

x < -13/6

Answer:

Step-by-step explanation:

5x - 16 = 4x + 6

x - 16 = 6

x = 22

5(22) - 16 = 110 - 16 = 94

4(22) + 6 = 88 + 6 = 94

Step-by-step explanation:

hoped this helped have a nice day

The simplified fraction for 1.667 is 10/6.

To express 1.667 as a fraction, we can follow these steps:

Step 1: Rewrite the decimal as a fraction without the decimal point.

1.667 → 1667

Step 2: Determine the denominator by counting the number of decimal places.

In this case, the decimal has three places, so the denominator will be 1000.

Step 3: Simplify the fraction, if possible.

In this case, the fraction 1667/1000 is already in its simplest form.

Therefore, the simplified fraction for 1.667 is 1667/1000.

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Have you tried multiplying 5(3)+2(2)+1?

15 + 4 + 1 = 20 ?

Im sorry I'm not real good with math.

Answer:

20

Step-by-step explanation:

x=3

y=2

5x +2y +1

5 ×3 +2×2 +1

15 +4 +1

20

Answer:

F(-3)=12

F(2)=7

F(0)=3

F(5)=28

Step-by-step explanation:

Answer:

[tex](-4, -1)[/tex]

Step-by-step explanation:

[tex]6x-y=-23[/tex]

Add y to both sides:

[tex]6x-y+y=-23+y\\6x=-23+y[/tex]

Divide both sides by 6:

[tex]\frac{6x}{6}=-\frac{23}{6}+\frac{y}{6}\\x=\frac{-23+y}{6}[/tex]

Substitute this into the second equation given:

[tex]2*\frac{-23+y}{6}+5y=-13[/tex]

[tex]\frac{-23+16y}{3}=-13[/tex]

Multiply both sides by 3:

[tex]-23+16y=-39[/tex]

Add 23 to both sides:

[tex]-23+16y+23=-39+23\\16y=-16[/tex]

Divide both sides by 16:

[tex]\frac{16y}{16}=\frac{-16}{16}\\y=-1[/tex]

We know that [tex]x=\frac{-23+y}{6}[/tex].

Thus, [tex]x=\frac{-23-1}{6}[/tex]

[tex]x=-4[/tex]

[tex](x, y) = (-4, -1)[/tex]

Answer:

(-4,-1)

Step-by-step explanation:

Answer:

0.488

Step-by-step explanation:

Use binomial probability:

P = nCr pʳ qⁿ⁻ʳ

where n is the number of trials,

r is the number of successes,

p is the probability of success,

and q is the probability of failure (1−p).

Here, n = 3 and p = 0.2.

The complement of at least 1 is at most 0.

P(r ≥ 1) = 1 − P(r = 0)

P(r ≥ 1) = 1 − ₃C₀ (0.2)⁰ (0.8)³⁻⁰

P(r ≥ 1) = 1 − (0.8)³

P(r ≥ 1) = 0.488

Answer:

Step-by-step explanation:

Rate X Time = distance

Therefore:

    r (rate) X 5 (hours) = 600 (distance)

    r = 600/5

    r = 120 miles per hour

    The rate of speed of the jet is 120 mph.

Then, to find out the distance flown in 13 hours:

    120 (rate) X 13 (time) = d (distance)

    120 X 13 = d

    1560 = d

    The distance flown in 13 hours is 1560 miles.

Answer:

See attachment

Step-by-step explanation:

If x + y = 180°, the remaining angles can be labelled as illustrated in the diagram provided in the attachment below.

To properly label the diagram so that x° + y° = 180°, you must bear in mind or recall relation between angles formed when two parallel lines are cut across by a transversal line.

x° would be congruent to any angle that is either corresponding or vertical to it.

That is, for the angles labelled x°, such an angle is either corresponding to the given x° or it is vertically opposite to it.

Consequently, where the angle labelled y° forms a linear pair with x°. Linear pair of angles add up to give 180°.

Answer:

12

Step-by-step explanation:

Answer:

0.43, 4.7, 5, 6

Step-by-step explanation:

[tex]0.43<4.7<5<6[/tex]

Answer:

Solution: First option

Step-by-step explanation:

An increase in demand and a decrease in supply will cause an increase in the equilibrium price, but the effect on quantity is unclear.

Reasoning: For any quantity, the 'buyers' places a higher value on the goods, so the 'manufactures' must place higher values in order to distribute the good. Thus the price increases, but the output depends on the size of the two factors and which dominates, (1) pricing, (2) goods.

Answer:

[tex]y=2x+1[/tex]  is the required equation of line.

Step-by-step explanation:

To find the equation of line  [tex]y=mx+b[/tex]  through (3, 7) and (5, 11) we first need to find the slope of line and then y-intercept.

[tex]\mathrm{Slope=m=\frac{y_2-y_1}{x_2-x_1}=\frac{11-7}{5-3}=2}[/tex]

Use one point and slope to find the y-intercept.

[tex]7=2\left(3\right)+b\:\quad \Rightarrow \quad \:b=1[/tex]

[tex]y=2x+1[/tex]

Best Regards!

The data that Patrick is collecting on shoe size is discrete quantitative data. Hence, option B is the right choice.

Qualitative data is information that cannot be counted, quantified, or stated numerically. It is derived from text, voice, and images and is disseminated via data visualization techniques such as word clouds, concept maps, graph databases, timelines, and infographics.

Quantitative data are numerical measurements of values or counts. Quantitative data are numerical variables (e.g. how many; how much; or how often).

These are of two types:

In the question, we are informed that Patrick is collecting data on shoe size.

We are asked what type of data this will be.

As shoe sizes are given in numeric values, it is quantitative data.

And as these numbers are whole numbers, it is discrete quantitative data.

Thus, the data that Patrick is collecting on shoe size is discrete quantitative data. Hence, option B is the right choice.

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Answer:

Jennie earned $300

Step-by-step explanation:

We are already given the amount of time that she works and the rate. We just need to multiply the time by the corresponding rate. She worked 22 regular hours and gets $10 for each one. That means she earned $220 just from the regular hours.

Now we need to add the overtime hours. She worked 4 hours and made $20 for each one. In total, that's $80.

220+80=300

Jennie earned $300

Answer: 50x + 0.25t

Step-by-step explanation:

trust, cmon man

Answer:

50+.25(x)

Step-by-step explanation:

Answer:

5/11

Step-by-step explanation:

Probability here is the chance of selection out of a total. So, we need to first find the total number of marbles.

total

=

5

+

3

+

2

+

1

=

11

So there are  

11

marbles total. The probability that we pick one of the  

3

green marbles out of the  

11

is simply that ratio:

P

green

=

3

11

Same idea for yellow:

P

yellow

=

2

11

The probability of picking either of these colors is simply the sum of their probabilities.

P

green or yellow

=

P

green

+

P

yellow

=

3

11

+

2

11

=

5

11

Answer:

18%

Step-by-step explanation:

There are 64 students with brown eyes and black hair, and 9 students with blue eyes and black hair. A total of 303 students were surveyed, so to find the percentage you would put the number of students with that trait over the total number of students surveyed. 64/303 = 21.1221%, and 9/303 = 2.9702%. 21.1221 - 2.9702 = 18.1519. When you round that to the nearest whole number, you get 18%. Therefore, the percentage of the sample population with brown eyes and black hair is larger than the percentage of the sample population with blue eyes and black hair by 18%.

Answer:

18%

Step-by-step explanation:

i got it right. Hope this helps.

Answer:

x = (-5,10)

Step-by-step explanation:

Answer: y=-4x+1

Step-by-step explanation: the slope of the 2 points is -4 and in the answers -4x represents the slope.

Answer:

y= -4x +1

Step-by-step explanation:

Please see the attached picture for full solution.

Answer:

x=9

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

-3x+4-2x=-4x-5

-3x-2x-4x=-9

-9x=-9

x=1