Given g(x)= 4x-5, find g(3)

Answers

Answer 1
7.

Insert 3 in the place of x and evaluate.

g(3) = 4(3)-5 = 12-5 =7

Related Questions

The freezing point of seawater is −2 °C. The freezing point of nitric acid is −42 °C.

A photo of frozen seawater is shown.

How much greater is the freezing point of seawater than the freezing point of nitric acid?

Answers

The difference between the freezing point of seawater and the freezing point of nitric acid is 40 °C.

As per the question, we can write

The freezing point of seawater = −2 °C.

The freezing point of nitric acid = −42 °C.

We were asked to calculate the difference between the freezing point of seawater and the freezing point of nitric acid. We can find the difference between the freezing point of seawater and the freezing point of nitric acid by following the steps mentioned below;

The difference between the freezing point of seawater and the freezing point of nitric acid = Freezing point of Seawater - Freezing point of nitric acid

The difference between the freezing point of seawater and the freezing point of nitric acid = -2 - (-42) = 40 °C.

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explain this question and i will give those crown thingy
2 pages

Answers

Answer:

1.) -4

2.) 3/5 and 6/10 are both equal to 0.6

Step-by-step explanation:

1.) 16(1/4 - 1/2)

For this one you can either distribute the 16 and solve or just subtract the fractions and solve.  I like the first method personally:

16/4 - 16/8

4 - 8

-4

2.) Fractions can be looked at as dividing the top (numerator) by the bottom (denominator).  If we put each of the answer choices into our calculator and divide, we get 3/5 and 6/10.  Note that 2/3 = 0.66, but that is not the same as 0.6.

PLEASE HELP ME I NEED 4 ANSWERS !!!!!!!!!! a) Fill in the gaps to factorise the expression below.
3x² + 16x + 5 = (3x + −)(x + −)
b) Use your answer to part a) to solve 3x² + 16x + 5 = 0

Answers

The roots the the given quadratic equation, will be -1/3 and -5 so the factors will be (3x+1)(x+5). As the value of roots is known, so the value of quadratic equation will be zero (0) for both the roots.

As per the question statement, we are supposed to fill the gaps to factorize the quadratic equation given :

3x² + 16x + 5 = (3x + _)(x + _)

We need to solve the expression for finding out its factors.

y = 3x² + 16x + 5

y = 3x² + 15x + x + 5

y = 3x(x + 5) + 1(x + 5)

y = (3x + 1)(x + 5)

Therefore, the  roots the the given quadratic equation, will be -1/3 and -5 so the factors will be (3x+1)(x+5). As the value of roots is known, so the value of quadratic equation will be zero (0) for both the roots.

Quadratic equation: Any equation where there is just one term that squares the unknown and none that raises it to a higher power.Roots: Roots of any quadratic equation / expression is the value of the variable at which the complete value of the expression becomes zero (0). Number of roots = highest degree.

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x+53+86=65 which is this​

Answers

Answer:

[tex]x + 53 + 86 = 63 \\53 - 86 = 33[/tex]

Toby picks a 5-digit number. It is larger than 49,999 and it is a multiple of 5. How many different numbers could he have picked?

Answers

The total number of different numbers which Toby could have picked according to the task content as given is; 1,000.

How many different numbers could Toby have picked?

It follows from the task content that the number of different numbers which Toby could have picked given the conditions is to be determined.

On this note, since the required number is to be greater than 49,999 and must be a 5-digit number, the numbers which he could pick would range from;

49,999 - 99,999.

Hence, there are 5000 numbers in between.

Additionally, since the number must be a multiple of 5, the total number of multiples of 5 from 5,000 consecutive numbers is;

= 5,000/5

= 1000 different numbers.

Therefore, Toby could pick any of 1000 different numbers.

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Write an equation of the line passing through the point A(6,-1) that is perpendicular to the line y=-2x+8

Answers

Answer:

[tex]y+1=\frac{1}{2}(x-6)[/tex]

Step-by-step explanation:

Perpendicular lines have slopes that are negative reciprocals, so the slope of the line to be found is 1/2.

Substituting into point-slope form, the equation is

[tex]y+1=\frac{1}{2}(x-6)[/tex]

A bag of flour has a mass of 4.5 kilograms. How many grams are in 4.5 kilograms?

Answers

The first thing we have to know is that 1 kilogram is equal to 1000 grams

[tex]\begin{gathered} 1\operatorname{kg}\to1000gr \\ \frac{1000gr}{1\operatorname{kg}} \end{gathered}[/tex]

if we have 5.4 kilograms

[tex]\begin{gathered} 4.5\operatorname{kg}\cdot\frac{1000gr}{1\operatorname{kg}}=(4.5)(1000gr) \\ \end{gathered}[/tex][tex]4.5kg=4500gr[/tex]

Mark's football team has scored about 24 points each game. They played 12 games this season.
What is the best estimate for the total number of points they scored in the season?
Ο Α. 150
B. 250
OC. 20
OD. 360

Answers

Answer:

250

Step-by-step explanation:

Answer : about 300 points

Step by Step- explains 24 x 12 = 288 rounded up to 300

Convention of 1818 helped lessen tensions even further between the United States and Great Britain. They agreed to make __________the boundary between Canada and the United States.

Answers

Answer:

The Convention of 1818 was a treaty between the United States and Britain that set the 49th parallel as the boundary between British North America and the US across the West.Forty-Ninth ParallelCutting on the 49th parallel, on the right bank of the Moyie River, looking west, 1860.(courtesy North American Boundary Commission)The Convention of 1818 was a treaty between the United States and Britain that set the 49th parallel of latitude as the boundary between British North America and the US across the West. This remains the boundary today between the two nations.



hope that helps! Have a good day

9. Extend Your Thinking Georgette bought some craft items. The silk flowers cost three times as much as the ribbon. The ribbon cost two times what the foam cost. The vase cost $12, which was three times as much as the foam. How much did the silk flowers cost?

Answers

Given

s: silk flowers

r: ribbon

f: foam

v: vase

Procedure

s = 3r

r = 2f

v = 3f

[tex]\begin{gathered} v=12 \\ 3f=12 \\ f=\frac{12}{3} \\ f=4 \end{gathered}[/tex][tex]\begin{gathered} r=2\cdot f \\ r=2\cdot4 \\ r=8 \end{gathered}[/tex][tex]\begin{gathered} s=3\cdot r \\ s=3\cdot8 \\ s=24 \end{gathered}[/tex]

s: silk flowers $24

r: ribbon $ 8

f: foam $ 4

v: vase $12

Bridget’s rectangular living room was 12ft 8in by 14ft 6in How many of carpet will she need if she was advised to expect 10% waste and she cannot buy part of a square yard?

Answers

The first step we need to do is to convert the measures from inches to feet (12 inches is 1 foot):

8 inches = 8/12 feet = 0.667 feet

6 inches = 6/12 feet = 0.5 feet

So the measures are 12.667 ft and 14.5 ft.

Now, to find the area of the rectangular living room, we just need to multiply these measures:

[tex]\text{Area}=12.667\cdot14.5=183.67in^2[/tex]

Since we expect a waste of 10%, we need to increase this area by 10%, that is, we multiply it by 110% or 1.1:

[tex]NewArea=Area\cdot1.1=183.67\cdot1.1=202.03in^2[/tex]

Since she cannot buy part of a square yard, we need to round up our answer (if we round down, the amount of carpet will not be enough). So rouding up, she will have to buy 203 in2 of carpet.

the filer middle school soccer team of 27 students is riding to an out of town game. if 6 students can ride in a van, how many vans will be needed?

Answers

5 vans because 6 x5= 30 which leaves 3 extra seats

??????????????????/?

Answers

iven

adiius of circle = 3 ft

ind

rea and circumference of a circle

xplnanation

Circumference of a circle is given by

[tex]\begin{gathered} C=2\pi r \\ C=2\times3.14\times3 \\ C=18.84ft \end{gathered}[/tex]

Area of circle =

[tex]\begin{gathered} A=\pi r^2 \\ A=3.14\times3\times3 \\ A=28.26ft^2 \end{gathered}[/tex]

inal ANnswer

ircumference =

[tex]18.84ft[/tex]

Area =

[tex]28.26ft^2[/tex]

What is the value of x?
6x-2(x+4)=12

Answers

Answer:

Step-by-step explanation:

6x-2x-8=12  

4x-8=12    (add 6x and -2x)

4x=20         (8+12=20)

x=5   (4 divide by 20 =5)

6x-2(x+4)=12
6x-2x-8=12
+8 +8

4x = 20
/4 /4

X=5

The U.S. Energy Information Administration (US EIA) reported that the average price for a gallon of regular gasoline is 3.91. The US EIA updates its estimates of average gas prices on a weekly basis. Assume the standard deviation is .24 for the price of a gallon of regular gasoline and recommend the appropriate sample size for the US EIA to use if they wish to report each of the following margins of error at confidence. Round up to the next whole number.

a. The desired margin of error is .11 The appropriate sample size is
.

b. The desired margin of error is .07 . The appropriate sample size is
.

c. The desired margin of error is .04. The appropriate sample size is

Answers

Answer:

3

Step-by-step explanation:

1 = 1

You might observe that the data has an awfully smooth pattern. If you were to view the scatterplot above at the daily level or the monthly level, the points in the scatter diagram would look a lot more messy. It looks a lot less messy because the data is the average CO2 over the entire year. What is the term for this phenomenon that we talked about?

Answers

Based on the fact that the data for the average CO₂ over the whole year was smoother than the daily and monthly level, the term for the phenomenon is called Smoothing.

How to define smoothing?

Smoothing refers to a process in statistics where the messier points of a data distribution is removed. In other words, the data points that give the data set a varied distribution are removed so that the data set appears smoother.

There are several methods to engage in smoothing but most of them use averaging over a longer period of time. They would for instance, use the averages of a period over a month or weekly and convert it to an annual measure like the scatterplot of CO₂ for the year.

In conclusion, the fact that the average CO₂ scatterplot for the year was smoothly than monthly or daily is due to smoothing.

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what is the answer of that

Answers

40° is the value of the angle ∠QPR.

What are angles?When two straight lines or rays intersect at a single endpoint, an angle is created. The vertex of an angle is the location where two points come together. The Latin word "angulus," which means "corner," is where the word "angle" originates. The names of fundamental angles include acute, obtuse, right, straight, reflex, and full rotation.

So, PQ ⊥ PS then, ∠QPS = 90°.

According to the given figure: ∠QPR + ∠RPS = ∠QPS

Then,

7x - 9 + 4x + 22 = 9011x + 13 = 9011x = 90 - 1311x = 77x = 7

So, ∠QPR = 7x - 9°

Substitute x = 7 as:

7(7) - 9°49 - 9°40°

Therefore, 40° is the value of the angle ∠QPR.

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Florence wants to invest money abroad.  Florence is aware that France generally has a recession every 6 years and America generally has a recession every 8. in the year 2005, both France and America were in recession. Florence needs to work out the next time they will both be in recession. When will this be?

Answers

The most appropriate choice for LCM will be given by

After the year 2005, France and America will be in recession in the year 2029

What is LCM?

Suppose a and b are two numbers. LCM of a and b is the lowest common multiple of a and b. LCM of a and b is the lowest number that is divisible by both a and b.

Here,

France has a recession every 6 years.

America has a recession every 8 years.

Florence works out when France and America will both be in recession.

It will be possible in the year which is a common multiple of 6 and 8

In the year 2005, both France and America were in recession

France and America will both be in recession again after (LCM of 6 and 8) years

Now,

6 = 2 x 3

8 = 2 x 2 x 2

LCM of 6 and 8 = 2 x 2 x 2 x3

                          = 24

France and America will both be in recession again after 24 years  

After the year 2005, France and America will be in recession in the year (2005 + 24) = 2029

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If UW = 4, what is the length of the radius of circle V?

Answers

the radius of of circle V is 2

Explanation:

XZ is the diameter of circle Y (bigger circle)

UW is the diameter of circle V (smaller circle)

We are to find the radius of the smaller circle. To find the radius, we use the formula relating diamter to radius:

Diameter = 2(radius)

UW = 4, diameter =4

4 = 2(radius)

radius = 4/2

radius = 2

Hence, the radius of of circle V is 2

PQ has a length of 17 units with P(-4,7). If the x- and y-coordinates of Q are both greater than the x- and y-coordinates of P, what are possible integer value coordinates of Q? Explain.
Let PQ be the hypotenuse of a right triangle that also has a horizontal leg and a vertical leg. The hypotenuse then has length 17, and a Pythagorean triple can be used to say the shorter leg has length
and the longer leg has length. If the shorter leg is horizontal, then Q is described by the ordered pair. If the shorter leg is vertical, then Q is described by the ordered pair

Answers

Step-by-step explanation:

a distance on a coordinate grid is always the Hypotenuse of a right-angled triangle with the differences of the x coordinates and the y coordinates as the legs.

so, per Pythagoras

distance² = (x diff)² + (y diff)²

we have here a distance 17. 17² = 289.

to get integer coordinates the lengths of the legs must be integer numbers.

what 2 squared integer numbers can be added to get 289 ?

I found after subtracting 4, 9, 16, 25, 36, 49 and finally 64 (the squares of 2, 3, 4, 5, 6, 7, 8) that

289 - 64 = 225, which is also a square number (15²).

so, we get the possible integer coordinates of Q to be

(-4 + 8, 7 + 15) = (4, 22)

in this case the shorter leg has the length 8, and the longer leg the length 15.

the shorter leg is in this case horizontal, because it is the x coordinate difference. and Q is again as described (4, 22).

if we make the shorter leg vertical, that means it is the y coordinate difference. and Q is then

(-4 + 15, 7 + 8) = (11, 15)

someone please help me!!!!

Answers

Answer:

First Choice:

(1.4)(0.18)²

Step-by-step explanation:

Using the negative exponent rule

[tex]\left(\dfrac{a}{b}\right)^{-1} = \dfrac{b}{a}[/tex]

we get

[tex]\left(\dfrac{5}{7}\right)^{-1} = \dfrac{7}{5}[/tex]

[tex]\dfrac{7}{5} = 1.4\\\\[/tex]

Therefore
[tex]\left(\dfrac{5}{7}\right)^{-1}\left(0.18\right)^2\\\\= (1.4)(0.18)^2[/tex]

Find the values of x and z

Answers

z = 104
The angle opposite z is 104, so therefore z must be equal to the opposite angle.

x = 2
We know angles on a straight line add up to 180. We already know that there are two angles, one of which is 104.
180-104 is 76.
Next, we put this value into an equation:
76 = 13x + 50
76 -50 = 13x
26 = 13x
2 = x

Rajiv puts $2400 in a savings account.
One year later it is worth $2580

Work out the annual rate of interest.​

Answers

[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$2580\\ P=\textit{original amount deposited}\dotfill & \$2400\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\dotfill &1 \end{cases} \\\\\\ 2580=2400[1+(\frac{r}{100})(1)] \implies \cfrac{2580}{2400}=1+\cfrac{r}{100}\implies \cfrac{43}{40}\implies \cfrac{100+r}{100} \\\\\\ \cfrac{4300}{40}=100+r\implies \cfrac{215}{2}=100+r\implies \cfrac{215}{2}-100=r\implies \boxed{\stackrel{\%}{7.5}=r}[/tex]

Answer:

7.5%

Step-by-step explanation:

Constructing a Confidence Interval for a Population Proportion
If n = 130 and p= 0.69, construct a 99% confidence interval.

Answers

The Confidence Interval for a Population Proportion is 0.69 ± 1.13

(-0.44 to 1.82)

Confidence Interval:

Confidence Interval means a range of values that is determined through the use of observed data, calculated at a desired confidence level that may contain the true value of the parameter being studied.

Given,

n = 130 and

p= 0.69,

construct a 99% confidence interval.

Here we need to find the confidence interval.

According to the formula, the confidence interval is,

We know that,

Sample Size: 130

Sample Mean: 0.69

Confidence Level: 99%

99% Confidence Interval: 0.69 ± 1.13

(-0.44 to 1.82)

"With 99% confidence the population mean is between -0.44 and 1.82, based on 130 samples."

Margin of Error: 1.13

(to more digits: 1.13)

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A rectangular dog pen is constructed using a barn wall as one side and 120m of fencing for the other three sides. a) give a sketch of the situation. b) express the area in terms of x. c) sketch the graph. d) find the value of x that gives the greatest area. e) find the dimensions of the pen. f) state the domain.

Answers

The solutions to the question are

The area of the pen in terms of x is A = x(120 - 2x)The x value that gives the highest area is 30The dimensions is 30 by 60The domain is 0 <= x <= 60

a) How to determine the sketch

The given parameters are:

Sides = 3

Fourth side = barn wall

Perimeter = 120 m

Next, we sketch the dog pen using the above parameters (see attachment)

b) The area of the pen

Here, we have

P = 120m

Also, we have

P = 2x + y

This gives

2x + y = 120

Make y the subject

y = 120 - 2x

The area is calculated as

A = xy

So, we have

A = x(120 - 2x)

Hence, the area is A = x(120 - 2x)

The sketch of the graph

See attachment for the graph of A = x(120 - 2x)

The value of x that gives the greatest area

We have

A = x(120 - 2x)

Expand

A = 120x - 2x^2

Differentiate

120 - 4x= 0

So, we have

4x = 120

This gives

x = 30

Hence, the value of x that gives maximum area is 30

The dimensions of the pen

Recall that

y = 120 - 2x

So, we have

y = 120 - 2 * 30

Evaluate

y = 60

Hence, the dimensions is 30 by 60

The domain of the function

From the graph, we have

x = 0 to 60

Hence, the domain of the function is 0 <= x <= 60

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Write a piecewise function for the given graph.

Answers

The  graphed piecewise function is conformed of two lines, it can be written as::

y = -x        if x < -1y = x + 1    if x ≥ 1

How to write the piecewise function?

Notice that we have two lines that conform the piecewise function.

The linear equation in the left passes through the points (-8, 8) and (-1, 1), so the slope is:

m = (1 - 8)/(-1 + 8) = -7/7 = -1

Then it is something like:

y = -x + b

To find the value of b we use the point (-1, 1), we will get:

1 = -(-1) + b

1 - 1 = b

0 = b

Then the first line is:

y = -x   if x < -1.

The second line passes through points (-1, -3) and (4, 2), then the slope is:

m = (2 + 3)/(4 + 1) = 1

And we can see that it intercepts the y-axis at y = -1, so the linear equation here is:

y = x - 1

Finally, the piecewise function is:

y = -x        if x < -1y = x + 1    if x ≥ 1

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In August, a giant panda named Max was born at the Silver City Zoo. In September, Max weighed 3.04 pounds. Today, Max is weighed again and he is heavier than before. Now Max weighs 10.73 pounds.

Answers

The most appropriate choice for for linear equation will be given by -

Gain in weight of Max = 7.69 pounds

What is linear equation?

At first it is important to know about equation

Equation shows the equality between two algebraic expressions by connecting the two algerbraic expressions by an equal to sign.

A one degree equation is known as linear equation.

Let the gain in weight be x pounds

Weight of Max in the month of September = 3.04 pounds

Weight of Max today = 10.73 pounds

By the problem,

                          3.04 + x = 10.73

                                     x = 10.73 - 3.04

                                     x = 7.69

Gain in weight of Max = 7.69 pounds

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12/4= x/5
can someone help me. i need a step-by-step answer!

Answers

12/4= x/5

Multiply both sides of the equation by 20, the lowest common denominator of 4,5.

5×12=4x

Multiply 5 and 12 to get 60.

60=4x

Swap the sides so that all the terms of the variables are on the left side.

4x=60

Divide both sides by 4.

x = 60/4

Divide 60 by 4 to get 15.

x=15

hich is the equation of a line that has a slope of One-half and passes through point (2, –3)?

Answers

The equation of line passing that has a slope of One-half and passes through point (2, –3) is y = 0.5x - 4

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Equations are classified based on degree (value of highest exponents) as linear, quadratic, cubic and so on. Variables can be dependent or independent. Dependent variables depend on other variable while an independent variable do not depend.

The standard form for linear equation is:

y = mx + b

Where m is the slope and b is the y intercept

The equation of line passing that has a slope of One-half and passes through point (2, –3) is:

y - (-3) = (1/2)(x - 2)

y + 3 = 0.5x - 1

y = 0.5x - 4

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[x+(1/3)] + [x+(1/5)] = 1, where [x] is the whole part of x.

Answers

[tex](x + \frac{1}{3} ) + (x + \frac{1}{5} ) = 1 \\ x + x + \frac{1}{3} + \frac{1}{5} = 1 \\ 2x(15) + \frac{1}{3} (15) + \frac{1}{5} (15) = 1(15) \\ 30x + 5 + 3 = 15 \\ 30x = 15 - 5 - 3 \\ 30x = 7 \\ \frac{30x}{30} = \frac{7}{30} \\ x = \frac{7}{30} [/tex]

ATTACHED IS THE SOLUTION

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