if f(x)=x²+2x-4 and g(x) = -4x+1, what is (g-f)(x)?
A x²+6x-5
B. x2-2x-3
C. x²-6x+5
D.-x²-6x+5​

Answers

Answer 1

The (g-f)(x) is option D: - x² - 6x + 5.

What are terms in polynomials?

Terms are added or subtracted to make a polynomial. They're composed of variables and constants all in multiplication.

Given;

f(x) = x²+2x-4

g(x) = -4x+1,

Then the subtraction of the two function;

g(x) - f(x)

= -4x+1 - (x²+2x-4 )

= -4x+1 - x²- 2x + 4

= - x² - 6x + 5

Hence, the correct option is D: - x² - 6x + 5.

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Related Questions

11-8(12+6)÷6²

pls answer right :)

Answers

Answer: The answer is 7

I did the math

Answer:

7

Step-by-step explanation:

11 - 8(12 + 6) / 6²

Rearrange using the order of operations.

11 - ((8 * (12 + 6)) / (6²))

((8 * (12 + 6)) = 144

(6²) = 36

(6²) / 144 = 4

(11 - 4)

= 7

Can anyone help me solve this?

Answers

Answer:9

Step-by-step explanation:

Use the pythagorean theorem. [tex]a^{2}+b^{2}=c^{2}[/tex]

We know both a and c, so it becomes

[tex]4^{2}+b^{2}=\sqrt{97}^{2}[/tex]=

16+b^2=97=

97-16=b^2=

81=b^2=

9=b

A bedroom measures 9 feet long and 11 feet wide. A scale drawing is made using a scale factor of 112.

What is the length of the bedroom in the scale drawing?

Drag and drop a number to correctly complete the statement.

Answers

Given the previous length of the bedroom and the current scale factor, the length of the bedroom in the current scale drawing is 1008ft.

What is the length of the bedroom in the scale drawing?

Scale factor is simply a measure for similar figures, who look the same but have different scales or measures.

To get new dimension;

New dimension = scale factor × current dimension

Given that;

Current length of the bedroom = 9ftCurrent width of the bedroom = 11ftScale factor = 112New length of the bedroom = ?

New dimension = scale factor × current dimension

New length of the bedroom = 112 × 9ft

New length of the bedroom = 1008ft

Therefore, given the previous length of the bedroom and the current scale factor, the length of the bedroom in the current scale drawing is 1008ft.

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What is m/D?
118°
B
87°
A
D
23/24-
A
12

Answers

Answer:

[tex]62^\circ[/tex]

Step-by-step explanation:

This is a cyclic quadrilateral (all points of the quadrilateral are on the circle), meaning opposite angles are supplementary (add up to [tex]180^\circ[/tex]).

[tex]\angle D[/tex] is opposite [tex]\angle B[/tex], which is equal to [tex]118^\circ[/tex]. This means [tex]\angle D[/tex] is equal to [tex]180^\circ - 118^\circ[/tex], which is [tex]\boxed{62^\circ}[/tex].

Determine the solution for the following equation: (8x-8) 3/2 = 64
x = 3
x = 5
x = 13
x = 65

Answers

The correct answer is option A which is x = 3.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

The expression will be solved as:-

( 8x - 8 )[tex]^\dfrac{3}{2}[/tex] = 64

We can write 64 as [tex]16^{\dfrac{3}{2}}[/tex]

( 8x - 8 )[tex]^\dfrac{3}{2}[/tex] =   [tex]16^{\dfrac{3}{2}}[/tex]

8x - 8 = 16

8x = 24

x = 3

Therefore the correct answer is option A which is x = 3.

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Answer:

A. x=3.

Step-by-step explanation:

Edge 2022.

Alice weighs 20 dogs and 20 cats. The mean weight for the dogs is 32kg and the mean weight for cats is 4kg. The range in weight for dogs is 45kg and the range in weight for cats is 0.5kg. State two conclusions you can draw from this information.

Answers

With the mean and range, we can estimate the weights of the smallest and largest animals in each group.

For cats the interval is [ 3.75kg, 4.25kg] and for dogs is [9.5kg, 54.5kg]

Which conclusions can be made with the given information?

We know that the mean weight for cats is 4kg, and the range (difference between the largest value and smallest value) is 0.5kg.

From that, we can conclude with some confidence (but not exactly), that the largest cat weights 4kg + 0.5kg/2 = 4.25kgAnd the smallest cat weights 4kg - 0.5kg/2 = 3.75kg

(Assuming a normal distribution).

Similar for the dogs, the mean weight is 32kg and the range is 45kg, then:

The largest dog weights 32kg + 45kg/2 = 54.5kgThe smallest dog weights 32kg - 45kg/2 = 9.5kg

(again, assuming a normal distribution).

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What are the coordinates of the vertices of the image?
Translate the shape A four squares right and two squares down.

Answers

Answer:

see explanation

Step-by-step explanation:

a translation of 4 squares right means add 4 to the x- coordinate

a translation of 2 squares down means subtract 2 from the y- coordinate

then

(1, 1 ) → (1 + 4, 1 - 2 ) → (5, - 1 )

(3, 1 ) → (3 + 4, 1 - 2 ) → (7, - 1 )

(1, 4 ) → (1 + 4, 4 - 2 ) → (5, 2 )

PLEASE HELP ASAP <3
Evaluate: 23+x/8 for x = 8
O 24
O 3.875
O 20
O 18

Answers

Answer:

Your first step would be to rewrite the equation, were x =8 so it would look like this

Step-by-step explanation:

23 + 8/8 = ?

than solve. 8/ 8 = 1 and 23+1 = 24

[100 POINTS] Find the values of x, y, and z.

Answers

X-20
Y-90
Z-90


Hope this help I’m not sure if I’m right but hopefully

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Let's solve ~

x and y are values that represent the angle made by respective arcs on centre of the circle

that is :

x = 20°

Here, Angle x + Angle z = 180°

[ because they form linear pair ]

z + x = 180

z = 180 - x

z = 180 - 20

z = 160°

Now, we can observe that angle made by Arc Y is equal to :

y = z + x = 160° + 20° = 180°

PLEASE HELP QUICK :(

Answers

Answer:

A

Step-by-step explanation:

Thats how the mean works lol

30,098 in standard form
30,098 to four significant figures​

Answers

Standard form = 3.0098 × 10 power 4
Significant figures = 30100

A ski resort claims that there is a 75% chance of snow on any given day in january and that snowfall happens independently from one day to the next. a family plans a four-day trip to this ski resort in january. let x represent the number of days it snows while the family is there. what are the mean and standard deviation of x? mu subscript x baseline = 1, sigma subscript x baseline = 1 mu subscript x baseline = 2, sigma subscript x baseline = 0.56 mu subscript x baseline = 3, sigma subscript x baseline = 0.75 mu subscript x baseline = 3, sigma subscript x baseline = 0.87

Answers

Using the binomial distribution, it is found that the mean and the standard deviation of variable x are given as follows:

[tex]\mu = 3, \sigma = 0.87[/tex]

What is the binomial probability distribution?

It is the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

In this problem, we have that the parameters are given as follows:

n = 4, p = 0.75.

Hence the mean and the standard deviation are given as follows:

E(X) = np = 4 x 0.75 = 3.[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{4 \times 0.75 \times 0.25} = 0.87[/tex]

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Think about triangles that have
a perimeter of 15cm,
two or more equal sides,
and each side a whole number of centimetres.
Prove that there are only four of these triangles. i

Answers

In order to prove that there are only four of these triangles, we need to first   restate the formula for the perimeter of a triangle which is given as:  P = a + b + c. Hence, we must identify all the triangles that have two or more equal sides, and each side is a whole number.

What is the proof?

Step 1 - First, we state all the possible combination three whole numbers which when added together result in fifteen.

The numbers are given as:

1 1 132 2 113 3 94 4 75 5 56 6 37 7 1

Step 2 -  Eliminate options where a side is more than the sum of the other two sides

Hence,

1 1 132 2 113 3 9

are eliminated. The remaining triangles are four in number.

QED.

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help me please, i need an answer asap

Answers

Answer:

answer is A - library books by genre and by Adult or Child

Step-by-step explanation:

your column on the left will have different genre of books

your top column will have children or adults

What is the base in the expression 4^5

4

5

9

20
PLS ANSWER FAST !!

Answers

Answer:

The answer is 4

Step-by-step explanation:

The base of 4^5 is 4. The exponent is 5 and 9 & 20 do not work as we are not multiplying 4 and 5 to get 20.

I'm pretty sure it is, but it just seems so onesided so I wanted to make sure, is this correct?

Answers

That’s right I solved it and got the same answer

Katy invests a total of $13,000 in two accounts paying 2% and 7% annual interest, respectively. How much was invested in each account if, after one year, the total interest was $310.00.

Invested at 2%___?
Invested at 7%___?

Answers

Answer:

2 % amount = 12000     7% amount = 1000 dollars

Step-by-step explanation:

x = 2% amount

 then  13 000 - x  = 7% amount

.02x   + .07 (13000-x)  = 310

-.05x + 910 = 310

.05x = 600

x = 600/.05 = 12000      then the 7% amount is 1000

Please solve (30 points)

Answers

A real life example of an acute angle is the angle that's made in letter V.

What is a acute angle?

It should be noted that an acute triangle simply means an angle that measures less than 90 degrees.

In this case, the real life example of an acute angle is the angle that's made in letter V. Other examples include slizing a pizza into different shapes.

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If f(x)=2(3x-5) when f(x) =74,what is the value of x??

Answers

Answer:

x = 14

Step-by-step explanation:

given f(x) = 2(3x - 5) and f(x) = 74 , then equating gives

2(3x - 5) = 74 ( divide both sides by 2 )

3x - 5 = 37 ( add 5 to both sides )

3x = 42 ( divide both sides by 3 )

x = 14

The answer is 14
Hopefully this helps

10 + (2 x 3)2 ÷ 4 × 1 over 2 to the power of 3

Answers

Answer:

1.4375

Step-by-step explanation:

[tex]\frac{10 + (2 x 3)^{2} / (4)(1)}{2^{3}} \\[/tex]

[tex]\frac{10 + (6)^{2} /4}{8} \\[/tex]

[tex]\frac{10 + 36 / 4}{8} \\[/tex]

[tex]\frac{46 /4}{8} \\[/tex] = [tex]\frac{11.5}{8} \\[/tex]

1. On a train ride cross-country, the trees, buildings, and people appear to be speeding by the window. This is because the train is our _____

2. Scientists use the ______
system for making measurements.

3. Physical science studies the relationships between ____,____,
and ______.

4. If 6.6 tyrannosaurs weigh 30,000 kg, then what does one tyrannosaur weigh?

5. For most activities, the ___
makes a handy frame of reference.

Answers

On a train ride cross-country, the trees, buildings, and people appear to be speeding by the window. While traveling in a train, it appears that the trees near the track are moving whereas co-passengers appear to be stationary.

How to explain the measurements?

When measuring, scientists use a shared system of measurement, called the International System of Units (SI). Physical science is concerned with the study of natural but non-living objects.

If 6 tyrannosaurs weigh 30,000 kg, the weight of one tyrannosaur will be;

= 30000/6

= 5000kg

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Are the equations 1/2x-8=9 and x-8=18 equivalent?​

Answers

Answer:

not equivalent

Step-by-step explanation:

solve for x to see if they are equivalent

1/2x-8=9 and x-8=18

1/2x=17

x=34

x-8=18

x = 36

no they are not equivalent

1/2x-8=9
1/2x=17
X=16 1/2

X-8=18
C=26
No

Which equation has the solution x=4?

Answers

Answer: Option C is correct.

Part A

⇒ 4x = 20

⇒ x = 20/4

⇒ x = 5

Part B

⇒ x/2 = 8

⇒ x = 8(2)

⇒ x = 16

Part C

⇒ x + 8 = 3x

⇒ 3x - x = 8

⇒ 2x = 8

x = 4

Part D

⇒ x = (x + 5)/2

⇒ 2x = x + 5

⇒ 2x - x = 5

⇒ x = 5

I believe the answer is C

A trellis consists of overlapping wooden slats.

1.What is the position of the indicated angles?

2.What should the value of x be in order for the two slats to be parallel?

3. Which theorem or postulate will you use to prove the parallel slats?

4. Find the measure of the indicated angle.

Answers

The value of x  in order for the two slats to be parallel is 6.

The measure of the indicated angle is 42°

What is an angle?

The angle is the measure of how inclined are the two surfaces, or lines with respect to each other.

For the slats to be parallel. both the given angles must be equal

So,

(3x +24)° = 7x°

Solving this expression, we get

7x -3x = 24

4x =24

x = 6°

The measure of the indicated angle is

(3x +24)° = 3x6 +24

(3x +24)° = 18+24

(3x +24)°  =42°

and 7x = 7x6 =42°

Thus, the measure of the angle is 42°

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help please! will give brainle giving 20 points love !

Answers

Answer:

D. 75%

Step-by-step explanation:

100% - 25% = 75%

Answer:

D. 75%

Step-by-step explanation:

If 25% get into an accident then how many teenagers don't? :

100% - 25% = 75%

Have a great day! :)

What is the equation of the function shown in the graph, given that the equation of the parent function is f(x)=(1/7)^x

Answers

The equation of the graphed function is given as follows:

g(x) = (1/7)^x - 4.

What is a translation?

A translation happens when either a figure or a function are moved horizontally or vertically.

The four translation rules for functions are given as follows:

Left a units: f(x + a).Right a units: f(x - a).Up a units: f(x) + a.Down a units: f(x) - a.

The parent function for this problem is given as follows:

f(x) = (1/7)^x.

(which has an asymptote at y = 0).

The function was shifted down 4 units, meaning that the translated function is given as follows:

g(x) = (1/7)^x - 4.

And the correct option is given by the first option.

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Astrid travels 130 km in 2 hours and then at 85 km/h for another 3 hours to reach her
destination. On the return journey home, she travels a total of 5 hours.
Determine the speed of the car that Astrid will travel to get home.

Answers

Answer:

[tex]\huge\boxed{\sf Speed = 77\ km/hr}[/tex]

Step-by-step explanation:

Formula to be used in the question:Speed = Distance / TimeDistance for the first 2 hours:

= 130 km

Distance for the next 3 hours:

Speed = 85 km/h

Time = 3 hours

So,

Distance = Speed × Time

Distance = 85 × 3

Distance = 255 km

So,

Total distance from home to destination:

= 130 + 255

= 385 km

Speed on the return journey:

Total distance = 385 km

Time = 5 hours

Speed = Distance / Time

Speed = 385 / 5

Speed = 77 km/hr

[tex]\rule[225]{225}{2}[/tex]

Find the equation of the line through the points (-2,4) and (3,-5) using point-slope form. Then rewrite the equation in slope-intercept form.

Answers

[tex](\stackrel{x_1}{-2}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{-5}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-5}-\stackrel{y1}{4}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{(-2)}}} \implies \cfrac{-5 -4}{3 +2}\implies \cfrac{-9}{5}[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{4}=\stackrel{m}{-\cfrac{9}{5}}(x-\stackrel{x_1}{(-2)})\implies y-4=-\cfrac{9}{5}(x+2) \\\\\\ y-4=-\cfrac{9}{5}x-\cfrac{18}{5}\implies y=-\cfrac{9}{5}x-\cfrac{18}{5}+4\implies y=-\cfrac{9}{5}x+\cfrac{2}{5}[/tex]

helppppppppppppppppp pleaseeeeeeeeeeee​

Answers

Greater than 6 it’s labeled as 1 through 6 a fair dice has a probability of 16

2x-y=7
x+y=5

Use elimination


Answers

Answer:  (x,y) = (4,1)

In other words,  x = 4 and y = 1

==============================================

Explanation:

Add the equations straight down.

The x terms add to 3x because 2x+x = 3xThe y terms go away when you add them since -y+y = 0y = 0The terms on the right hand sides add to 7+5 = 12

After those three sets of adding terms, we end up with 3x = 12. This solves to x = 4 when you divide both sides by 3.

Use this x value to find y.

2x-y = 7

2(4)-y = 7

8-y = 7

-y = 7-8

-y = -1

y = 1

or

x+y = 5

4+y = 5

y = 5-4

y = 1

Your best best is probably to use the second equation, but it doesn't hurt to have practice with both equations. Getting the same y value helps confirm we have the correct x value.

Therefore, the solution is the ordered pair (x,y) = (4,1). Meaning that x = 4 and y = 1 pair up together.

Visual confirmation can be done by using a graphing tool like Desmos. The two lines intersect at (4, 1). See below.

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