For f(x) = 4x+1 and g(x) = x^2 -5, find (f-g)(x)

Answers

Answer 1

Answer:

(f-g)(x) is given by -x^2+4x+6

Step-by-step explanation:


Related Questions

6 lb = how many oz .​

Answers

Answer:

96 oz

Step-by-step explanation:

1 lb= 16 oz

so, 16×6=96

Solve the equation square root of x-2+5 = 7 for the variable. Show each step of your solution process

Answers

Answer:

x=4

Step-by-step explanation:

x+3=7

subtract 3 from both sides

simplify

Ok ok ok ok ok ok ok

Answers

Answer:

ok ok ok ok ok

Step-by-step explanation:

Answer:

ok?

Step-by-step explanation:

Given -3, -2,0,3,7 .... Find the next term

Answers

Answer:

12

Step-by-step explanation:

Seven less than one-fourth of a number is 2. What is the number?

Answers

Based on the equation given, it can be deduced that the value of the number will be 36.

Let the number be represented by x

Therefore, seven less than one-fourth of a number will be:

=(1/4 × x) - 7

= 0.25x - 7

Now, seven less than one-fourth of a number is 2 will be written as:

0.25x - 7 = 2

0.25x = 2 + 7

0.25x = 9

x = 9/0.25

x = 36

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LAST ATTEMPT IM MARKING AS BRAINLIEST!! (Pythagorean theorem )

Answers

Step-by-step explanation:

The Pythagorean theorem is:

[tex] {c}^{2} = {a}^{2} + {b}^{2} [/tex]

where c is the hypotenuse.

The two wires in the sketch are the hypotenuse so we just use the formula

let the wires=x

So:

[tex] {x}^{2} = {12}^{2} + {6}^{2} [/tex]

[tex] {x}^{2} = 144 + 36[/tex]

[tex] {x}^{2} = 180[/tex]

[tex]x = \sqrt{180} [/tex]

[tex]x = 13.42[/tex] feet

Work out m and c for the line: y = 8 − x

Answers

The answer is

M = -1
C = 8

m=-1 and c=8 for the line  y = 8 − x

What is slope intercept form of line?

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

The given equation is  y = 8 − x

This equation we can write in the form of slope intercept form

y=-x+8

y=(-1)x+8

Now compare the above equation with slope intercept form

m=-1 and c=8

Hence, m=-1 and c=8 for the line  y = 8 − x

To learn more on slope intercept form click:

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#SPJ2

5. How much would d dollars earn in one year at thē rate of p percent compounded annually?

Answers

Answer:

a

Step-by-step explanation:

a

which measures form a triangle​

Answers

[tex]\huge \rm༆ Answer ༄[/tex]

Measure of each side of a triangle can't be greater than the sum of the other two sides and can't be smaller than the difference between the two other sides. therefore the most appropriate choice is ~

4 cm , 7 cm and 9 cm

I hope it helps ~

We have:

1) 3 + 5 = 8 ⇒ wrong

2) 4 + 7 > 9 ⇒ right

3) 2 + 11 < 15 ⇒ wrong

ANSWER: 4 cm, 7 cm, 9 cm

Ok done. Thank to me :>

QRS is similar to XYZ.of QR=5,QS=7,and XY=30 find the value of XZ

Answers

QR is equal to XY so 30 divided by 5 is 6. So QS is also equal to XZ, multiply 7 by 6. The answer is 42

The price of gas on Wednesday was $2.03/gallon. On Friday, the price of gas was $2.26. What is the percent change in the price of gas?

Answers

Answer:

Percent change in the price of gas is [tex]9.85\%[/tex]

Step-by-step explanation:

Percentage change equals the change in value divided by the absolute value of the original value, multiplied by [tex]100[/tex] .

[tex]\text { Percentage Change }=\frac{\Delta V}{\left|V_{1}\right|} \times 100[/tex]

Here

[tex]\Delta V=2.26-2.03\\\\=0.23\$/gallon[/tex]

[tex]V_{1}=2.03\$/gallon[/tex]

The percent change in the price of gas

[tex]=\frac{0.23}{2.03} \times100\\\\=9.85\%[/tex]

Percent change in the price of gas is [tex]9.85\%[/tex]

Solve. 6 Everyone at a park was either hiking or riding a bike. There were 24 more hikers than bike riders. If there were a total of 100 people at the park, how many were hiking?​

Answers

b r = 178 + h;

b r + h = 676;

then, 178 + 2h = 676 => h = 498/2 = 249 => b r = 178 + 249 = 427

Answer:

676

Step-by-step explanation:

h=b+178=427

b=b=249

-------------

(b+178)+b=676

2b+178=676

2b=498

b=249

-------------

249+427=676

Kaneppeleqw and 2 more u

PLEASE HELP WILL MARK BRAINIEST!!!!!

Answers

Answer:

a perpendicular line from a point on ab

Help me plz plllzzzz

Answers

Whenever you multiply by a negative number.

Hopefully that helps you a little.

At a local movie theatre, sodas cost$4.50 and bags of popcorn cost &1.50. Kirk buys three times as many bags of popcorn as sodas and pays a total of $36. Write a system of equations and solve it using any method to determine how many of each item Kirk bought.

Answers

Answer:

this might help

Step-by-step explanation:

this might be kinda similar

Chickens and rabbits

In the yard were chickens and rabbits. Together they had 18 heads and 56 legs. How many chickens and how many rabbits were in the yard?

Correct answer:

chickens:  8

rabbits:  10

Step-by-step explanation:

a+b=18

2a+4b=56

a=8

b=10

a+b = 18

2•a+4•b=56

a+b = 18

2a+4b = 56

a = 8

b = 10

The points (0,3) and (1,12) are solutions of an exponential function. What is the equation of the exponential function?

A) h(x) = 3(4)x
B) h(x) = 4(3)x
C) h(x) = 4(1∕3)x
D) h(x) = 3(0.25)x

Answers

Answer:

A

Step-by-step explanation:

An exponential function has the form

y = a[tex](b)^{x}[/tex]

Use the given solutions to find a and b

Using (0, 3 ) , then

3 = a[tex]b^{0}[/tex] [ [tex]b^{0}[/tex] = 1 ] , so

a = 3

y = 3[tex](b)^{x}[/tex]

Using (1, 12 ) , then

12 = 3[tex]b^{1}[/tex] = 3b ( divide both sides by 3 )

4 = b , then

h(x) = 3[tex](4)^{x}[/tex] → A

#3) They say they have 50 total coins together made up of dimes and quarters. They also say that they have $7.25 total. How many quarters do they have?
A. 10
B.15.
C.20.
D.25​

Answers

Answer:

B: 15 quarters

Step-by-step explanation:

Step 1: Setup Coin Value and Coin Total Equation:

Coin Value Equation → 0.1d + 0.25q = $7.25 where d = dimes and q = quarters

Coin Total Equation → d + q = 50

Step 2: Rearrange Coin Total Equation in terms of dimes (d)

d = 50 - q ← Revised Coin Total Equation

Step 3: Plug in our Revised Coin Total Equation for d into our Coin Value Equation:

0.1(50 - q) + 0.25q = $7.25

0.1(50) - 0.1(q) + 0.25q = $7.25

5 - 0.1q + 0.25q = $7.25

5 + (0.25 - 0.1)q = $7.25

5 + 0.15q = $7.25

Step 4: Subtract 5 from each side of the equation to isolate q

5 - 5 + 0.15q = $7.25 - 5

0.15q = 2.25

Step 5: Divide each side of the equation by 0.15 to isolate q

0.15q

0.15

=

2.25

0.15

q = 15

Step 6: Using our value for q, Solve for d using our Coin Total Equation:

d + 15 = 50

Subtracting 15 from both sides, we get d + 15 - 15 = 50 - 15

d = 35

Summarizing our word problem, we see that 15 quarters and 35 dimes adds up to $7.25


A line passes through the point (-4, 7) and has a slope of -5/4
Write an equation in slope-intercept form for this line.

Answers

Answer:

[tex]y=-\frac{5}{4} x+2.[/tex]

Step-by-step explanation:

1) slope-interception form is: y=s*x+i, where 's' and 'i' are slope and interception;

2) according to the condition s= -5/4, then the required equation is: y= -5/4 *x +i, where i - interception;

3) if to substitute (-4;7) into the required equation y= -5/4 *x +i, it is possible to calculate 'i':

7= -5/4*(-4)+i; ⇒i=2, then

[tex]4) \ finally, \ y=-\frac{5}{4}x+2.[/tex]

The body mass index, I, can be used to determine an individual's risk for heart disease. An index less than 25 indicates a low risk. The body mass index is given by
700W
the formula, or model, I=
where W= weight, in pounds, and H = height, in inches. Jerome is 70 inches tall. What weights will keep his body mass index
H2
between 20 and 28?

Answers

Using the BMI equation, it is found that weights between 139.4 and 195.2 pounds will keep his BMI between 20 and 28.

The BMI B, for a person of weight w(in pounds) and height h(in inches) is given by:

[tex]BMI = \frac{703w}{h^2}[/tex]

In this problem:

Height of 70 inches, hence [tex]h = 70[/tex].

For a BMI of 20 inches, the weight is:

[tex]BMI = \frac{703w}{h^2}[/tex]

[tex]20 = \frac{703w}{70^2}[/tex]

[tex]w = \frac{20 \times 70^2}{703}[/tex]

[tex]w = 139.4[/tex]

For a BMI of 28 inches, the weight is:

[tex]BMI = \frac{703w}{h^2}[/tex]

[tex]28 = \frac{703w}{70^2}[/tex]

[tex]w = \frac{28 \times 70^2}{703}[/tex]

[tex]w = 195.2[/tex]

Weights between 139.4 and 195.2 pounds will keep his BMI between 20 and 28.

To learn more about the BMI, you can take a look at https://brainly.com/question/24457127

A train leaves a point A at 5 pm and reach another point B at 11 pm. Another train leaves point B at 7 pm and reach point A at 10 pm. At what point will the two trains meet?

Answers

Answer: I think the two trains meet at 9pm

Explanation: A=train a B=train b

If A is traveling for 6 hours and B is traveling for 3 hours, then you minus 3 hours from A, so you are left with 3 hours. Convert that into time, and you are left with 9pm!

Hope this helps! :)

Step-by-step explanation:

let's think this through.

train a goes from A to B in 6 hours. that means with a speed of 1/6 / hour.

train b goes from B to A in 3 hours, so it is twice as fast as train a = 2/6 / hour.

when train b leaves B (at 7pm), train a was already traveling for 2 hours (1/3 of the whole trip) leaving it with 4 hours to go (2/3 if the distance).

that means that at that point now both trains are moving against each other with a relative speed of 3 times the

speed of a (the original speed of a plus the double speed of b).

this is the same as one train standing, and the other going the whole distance with 3 times the speed of a.

the whole distance is 2/3 of AB.

the speed is 3/6 / hour = 1/2 / hour.

so, a single train with that speed would cover the total distance AB in 2 hours. or half of the distance in 1 hour.

the question now, how long for 2/3 of AB.

the distances relate by a factor :

1/2 × f = 2/3

f = 2/3 / 1/2 = 2/3 × 2/1 = 4/3

now we need to multiply also the time in the distance/time speed ratio by this factor.

therefore, 2/3 of the total distance is done in 1×4/3 = 4/3 of an hour.

that means both trains meet after 4/3 of an hour after 7pm.

that is 7pm plus 1 hour and 20 minutes giving us 8:20pm.

I need help with this, can anybody help me? thank you, have. a great day!

Answers

Answer:a

Step-by-step explanation:

Answer:

As a mixed number, it is 3 5/8.

As an improper fraction it is 29/8.

Hope that helps you. x

A bookstore had 25 copies of a magazine. Yesterday the bookstore sold 3/5 of these coples. How many copies were sold yesterday?

Answers

Answer:

15

Step-by-step explanation:

25/5 = 5.

3 x 5 / 5+5+5 = 15

15/25 = 3/5

250 + 200h = 300 + 180h
250 + 200h = 300 + 180h
− 180h − 180h
250 + 20h = 300

Answers

Answer:

  h = 2.5

Step-by-step explanation:

Continue the solution by subtracting 250 from both sides.

  250 -250 +20h = 300 -250

  20h = 50

Divide both sides by 20

  20h/20 = 50/20

  h = 5/2 = 2.5

write an equivalent expression for 3(2z+4)

Answers

The answer is : 6z+12

Answer:

6z+12

Step-by-step explanation:

you distribute it

Write the phrase "one more than the product of six and nine" as a mathematical expression.

Answers

Answer:

6.9+1

Step-by-step explanation:

hope it helps

[tex]\huge\mathfrak\blue{ ☃ }[/tex]

Answer:

the product of six and nine is fifty five

What is mean number of strawberries collected each day Round to the nearest whole number if necessary 107,122,148,135,126,154

Answers

Answer:

132

Step-by-step explanation:

step one: add all the numbers in the data set.

      107 + 122 + 148 + 135 + 126 + 154

                                         = 792

step two: divide the sum by the how many numbers are in the data set

      792/6 = 132

the mean number of strawberries collected each day is 132 strawberries.

hope this helps!<3

A 25-inch television has a screen that is 15 inches high. How wide is the screen?

inches

Answers

Answer:

20 inches

Step-by-step explanation:

Use the Pythagorean Theorem.

[tex]a^2 + b^2 = c^2\\15^2 + b^2 = 25^2\\225 + b^2 = 625\\b^2 = 400\\b = \sqrt{400} \\b = 20[/tex]

As a hurricane approaches, the air temperature changes −7.8°F every hour.

Which value represents the change in air temperature over 1.25 hours?


−9.75°F

−9.05°F

−6.55°F

−6.24°F

Answers

The change in air temperature over 1.25 hours is -9.75°F

A linear equation is in the form:

y = mx + b;

where y, x are variables,  m is the rate of change and b is the initial value of y.

As a hurricane approaches, the air temperature changes −7.8°F every hour. The amount of change after 1.25 hours is:

Change = −7.8°F every hour * 1.25 hours

Change = -9.75°F

Therefore the change in air temperature over 1.25 hours is -9.75°F

Find out more on linear equation at: https://brainly.com/question/14323743

HELP!!!
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match the multiplication expressions to the exponential expressions.

Answers

Answer:

Step-by-step explanation:

If a shirt for RS 18 is marked up to RS 20 then the percentage increase is equal to

Answers

Answer:

11.1%

Step-by-step explanation:

Increase = 20 - 18

= 2

% increase= increase/initial price × 100

= 2/18 × 100

11.1%

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