function F(x)=x+1 and g(x)=5x+1 find the f(4)=g(x+1)

Answers

Answer 1

The function of f(4) = g(x+1) gives the value of x that is -1/5.

What is the function addition?

It is the addition of two functions similar to the addition of any two polynomial functions.

Given;

F(x)=x+1

g(x)=5x+1

We need to find f(4)=g(x+1)

First substitute x = 4 in f(x)

F(x)=x+1

F(4) = 4 + 1

F(4) =  5

Now substitute x = x + 1 in g(x)

g(x)=5x+1

g(x + 1) = 5(x + 1) + 1

g(x + 1) = 5(x + 1) + 1

g(x + 1) = 5x + 5 + 1

g(x + 1) = 5x + 6

Then ,

F(4) = g(x + 1)

5 = 5x + 6

5x = 5 - 6

5x = -1

x = -1/5.

The function of f(4) = g(x+1) gives the value of x that is -1/5.

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Related Questions

If P(x) is a polynomial with lead term -x7, then
a) P(x) goes to negative infinity as x goes to negative infinity, and P(x) goes to infinity as x goes to infinity
b) P(x) goes to infinity as x goes to negative infinity, and P(x) goes to negative infinity as x goes to infinity
c) P(x) goes to negative infinity as x goes to negative infinity, and P(x) goes to negative infinity as x goes to infinity
d) P(x) goes to infinity as x goes to negative infinity, and P(x) goes to infinity as x goes to infinity

Answers

P(x) goes to infinity as x goes to negative infinity, and P(x) goes to negative infinity as x goes to infinity , Option B is the correct answer.

What is a Polynomial ?

A polynomial is an expression which consists of variables , Coefficient , indeterminate and mathematical operations.

The polynomial given has  lead term -x⁷

So when x --> ∞  , -x⁷---> - ∞

and when x ---> - ∞  , -x⁷ ---->  ∞

Similarly for the function P(x)

So when x --> ∞  , P(x)---> - ∞

and when x ---> - ∞  ,  P(x) ---->  ∞

P(x) goes to infinity as x goes to negative infinity, and P(x) goes to negative infinity as x goes to infinity

Therefore Option B is the correct answer.

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Whats the answer… also thats1/3

Answers

I think it may be the first graph

What is the simplified form of 12x/900x²y4z6?
O 30y²|xz³|
O 30x²y2z4
O 360xy²|xz³|
O 360xy²|z³|

Answers

Answer:

[tex]360xy^2|xz^3|[/tex]

Step-by-step explanation:

Given expression:

[tex]12x \sqrt{900x^2y^4z^6}[/tex]

[tex]\textsf{Apply radical rule} \quad \sqrt{ab}=\sqrt{a}\sqrt{b}:[/tex]

[tex]\implies 12x \sqrt{900}\sqrt{x^2}\sqrt{y^4}\sqrt{z^6}[/tex]

Replace 900 with 30² :

[tex]\implies 12x \sqrt{30^2}\sqrt{x^2}\sqrt{y^4}\sqrt{z^6}[/tex]

[tex]\textsf{Apply radical rule} \quad \sqrt{a^2}=a, \quad a \geq 0:[/tex]

[tex]\implies 12x \cdot 30|x|\sqrt{y^4}\sqrt{z^6}[/tex]

[tex]\implies 360x|x|\sqrt{y^4}\sqrt{z^6}[/tex]

(We need to use the absolute value of √x² since the x term was originally to the power of 2, which means the value of x² is always positive since the exponent is even).

[tex]\textsf{Apply exponent rule} \quad \sqrt{a^m}=a^{\frac{m}{2}}:[/tex]

[tex]\implies 360x|x|\cdot y^{\frac{4}{2}}\cdot z^{\frac{6}{2}}[/tex]

Simplify:

[tex]\implies 360xy^2|xz^3|[/tex]

(We need to use the absolute value of z³ since the z term was original to the power of 6, which means the value of z⁶ is always positive since the exponent is even).

what is the intercepts for y=2x-7

Answers

Answer:

x-intercept: [tex](\frac{7}{2},0)[/tex]

y-intercept: [tex](0,-7)[/tex]

Step-by-step explanation:

to find the x intercept set y = 0 and solve

0 = 2x - 7

2x = 7

x = 7/2

to find the y intercept set x = 0 and solve

y = 2(0) - 7

y = -7

The short leg of a 90-45-45 triangle is 5. What is the long leg and the hypotenuse?

Answers

The long leg and the hypotenuse of the isosceles right triangle will be 7.07 units.

What is a Pythagoras theorem?

The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.

The Pythagoras theorem formula is given as

H² = P² + B²

The short leg of a 90-45-45 triangle is 5.

The right triangle is an isosceles right triangle. Then the two side will be same.

Then the long leg and the hypotenuse will be

H² = 5² + 5²

H² = 25 + 25

H² = 50

H = 7.07 units

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A rope is broken up into 3 pieces. The first piece is three times bigger than the second piece and the third piece is eight feet more than the first piece. How big is each piece if the sun of all pieces is 64 feet ?

Answers

The first piece is 24 feet, the second piece is 8 feet, and the third piece is 32 feet

Please solve this for me

Answers

Answer:

f(x) = square root of x

g(x) = 4x - 1

Step-by-step explanation:

The slope equals zero and it passes through the point (x, y) = (1, −6).

Answers

Answer:

i think the answe is. y=0x-6

Choose the system of inequalities that best match the graph below.

Answers

The system of the linear inequality that fulfill the condition of the graph will be y ≥ 2x – 1 and y ≤ 1/3 x + 1. Then the correct option is A.

The complete question is attached below.

What is inequality?

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

The system of the linear inequality that fulfill the condition of the graph will be

y ≥ 2x – 1

y ≤ 1/3 x + 1

Then the correct option is A.

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if f(x) = 4x - 3 and g(x) = x + 4, find (f - g)(x)

Answers

Answer:

3x - 7

Step-by-step explanation:

This questions asks about the subtraction of functions. To find the answer, we can subtract the same way we would subtract polynomials.

Subtracting Expressions

First, set up the subtraction problem by taking the expression for f(x) and subtracting the expression equal to g(x) from it.

This looks like:

(4x - 3) - (x + 4)

Next, distribute the negative to the second binomial

4x - 3 - x - 4

Then, combine like terms

3x - 7

Since we are not given a x-value, this is the final answer.

Solving for an X-Value

If you are given an x-value, the best way to solve the equation is to first solve each function and then subtract.

For example, using the same rules for each function let's solve (f-g)(2).

First, solve for f(2) and g(2)

f(2) = 5g(2) = 6

Then, subtract the 2 values

5 - 6 = -1

300 people went on a trip. 20% chose hiking. how many people chose hiking?

Answers

60 people chose hiking.
20% of 300 is 60.
There’s your answer!

Equation:
[tex]5 + 5 = 5x + 5 - 2[/tex]
Solve for x.​

Answers

Answer:

x = [tex]\frac{7}{5}[/tex]

Step-by-step explanation:

To solve for x, we need to isolate it [get it alone on one side]

We should start by simplifying (combining the like-terms of our equation):

5 + 5 = 5x + 5 - 2

10 = 5x + 3

- 3         - 3        (subtract 3 from both sides to isolate x)

7 = 5x

÷5  ÷5   (divide both sides by 5 to find "1"x)

[tex]\frac{7}{5}=x[/tex]  

So, x = [tex]\frac{7}{5}[/tex]

(x = 7/5)

hope this helps!!

QUESTION:

5 + 5 = 5x + 5 - 2

Answer :

[tex]x = \frac{7}{5} [/tex]

Step-by-step explanation:

5 + 5 = 5x + 5 - 2

10 = 5x + 3

Take 3 to the other side

10 - 3 = 5x

7 = 5x

[tex] \frac{7}{5} = x[/tex]

or

[tex]x = \frac{7}{5} [/tex]

Triangle A B C is shown as the path of a ferry. Side A B is 3.5 miles long. The ferry turns 75 degrees to side B C. Side B C is 6 miles long. Side C A has an unknown length d.
A ferry transports passengers to three different ports. From port A, the ferry travels east 3.5 miles to port B. The ship then turns 75° south and travels for 6 miles to reach port C. What is the distance d from port C to port A? Approximate to the nearest tenth of a mile.

miles

Answers

The length of C from A is 3.5 miles if AB=3.5 miles and BC is 6 miles .

Given The length of triangle ABC AB=3.5 miles , BC=6miles and AC=d

We have to find the value of d

First of all we have to draw a perpendicular from point A on side BC .

It forms two triangles ABE and AEC if E is the point where perpendicular stands on BC.

In triangle BEA

AE=[tex]\sqrt{3.5^{2} -3^{2} }[/tex]

=[tex]\sqrt{12.25-9}[/tex]

=[tex]\sqrt{3.25}[/tex]

=1.8

Now in triangle AEC

AC=[tex]\sqrt{1.8^{2} +3^{2} }[/tex]

=[tex]\sqrt{3.24+9}[/tex]

=[tex]\sqrt{12.24}[/tex]

=[tex]\sqrt{12.24}[/tex]

=3.49 MILES

By rounding off to the nearest tenth we will get 3.4 miles

Hence the value of d is 3.4 miles.

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Answer:its 7.7

Step-by-step explanation: i did it on edge

What is the asymptote of the graph of f(x)=5x−1?

Answers

The asymptotes of the graph of [tex]f(x) = \frac{5}{x - 1}[/tex] are as follows:

Vertical: x = 1.Horizontal: y = 0.

What are the asymptotes of a function f(x)?

The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator.The horizontal asymptote is the value of f(x) as x goes to infinity, as long as this value is different of infinity.

In this problem, the function is:

[tex]f(x) = \frac{5}{x - 1}[/tex]

For the vertical asymptote, we have that:

[tex]x - 1 = 0 \rightarrow x = 1[/tex].

For the horizontal asymptote, we have that:

[tex]y = \lim_{x \rightarrow \infty} f(x) = \frac{5}{\infty - 1} = 0[/tex].

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is the square root of 10 a rational number

Answers

Answer:

No

Step-by-step explanation

The square root of 10 is irrational because it isn't a fraction

No, The square root of 10 a irrational number.

again help me pease ​

Answers

Answer:

See below ~

Step-by-step explanation:

1) a) 50 km / 2 h

25 km/h

b) 540 kg / 3 days

180 kg/day

c) 125 m / 5 min.

25 m/min.

A unit rate means a rate for one of something. We write this as a ratio with a denominator of one. For example, if you ran 70 yards in 10 seconds, you ran on average 7 yards in 1 second. Both of the ratios, 70 yards in 10 seconds and 7 yards in 1 second, are rates, but the 7 yards in 1 second is a unit rate…

a) 50km/2h

=> 25 kilometers per hour

b) 540kg/3d

=> 180 kilogram per day

c) 125m/5min

=> 25 meter per minute

which is the most appropriate Venn diagram...

Answers

The most appropriate Venn diagram is known to be option b in the image shown.

What is a common multiple?

A Common multiples are known to be the multiples that are said to be common to two or that have more numbers in them.

The Least Common Multiple ( LCM ) is known to be a term that connote  the Lowest Common Multiple ( LCM ) and also that has the Least Common Divisor ( LCD).

From the image shown the lowest multiples are 5², 2⁶, 3 while the greatest common factor is 2⁶.

Option B is correct because the greatest common factor which is  2⁶ can only be found in the middle and this was gotten when you add:

2³ . 2³

Collect like terms

2 ³⁺³

2⁶

Therefore, the greatest common factor which is  2⁶

To get the  Least Common Multiple, one need to add all the factors in the Venn diagram which are therefore:

5², 2³ . 2³, 3

=5², 2 ³⁺³, 3

=5², 2⁶, 3

Therefore, The most appropriate Venn diagram is known to be option b in the image shown.

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You are given the steps for using a compass and a straightedge to construct a line perpendicular to a given line through a point not lying on the given line. Arrange the steps in the proper sequence.

Place the compass needle on the external
point R. Make the compass width greater
than the distance from R to the given line.

Draw an arc cutting the given line at
two points. Mark and label the points
of intersection P and Q.

Draw a line from the external point R to
the point where the arcs intersect, S.
Line RS is perpendicular to line PQ and
passes through the external point R.

Move the compass needle to P and make an
arc below the line. Keep the compass width,
and move the compass needle to Q. Draw an
arc below the line crossing the other arc.
Mark and label the point of intersection S.

Answers

The proper steps for the construction are given as 1, 2 4, and then 3.

Write the steps for construction?

The proper steps for the construction are;

1. Place the compass needle on the external point R. Make the compass width greater than the distance from R to the given line.

2. Draw an arc cutting the given line at two points. Mark and label the points of intersection P and Q.

3. Move the compass needle to P and make an arc below the line. Keep the compass width, and move the compass needle to Q. Draw an arc below the line crossing the other arc. Mark and label the point of intersection S.

4. Draw a line from the external point R to the points where the arcs intersect, S. Line RS is perpendicular to line PQ and passes through the external point R.

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which matrix equation represents the system of equations

Answers

Should be the second option

Answer:

option B is correct

To write any equations in the form of matrix

first make a matrix of all coefficients of that equations.. here coefficients of first equation is 4 and - 2 and that of second is 0 ( as there is no value of X) and 3

then make second matrix of X and y

last of answer of the equations, here (-7 ) and 5

The USD appreciates 2% versus the JPY. The USD appreciates 4% versus the MXN. What is the approximate appreciation or depreciation we might see in the JPY/MXN cross exchange rate? Fill in the blanks: The JPY/MXN cross rate should ______________ about ______________ percent

Answers

The approximate appreciation or depreciation we might see in the MXN/JPY cross exchange rate is 3%.

What is Depriciation?

The term depreciation refers to an accounting method used to allocate the cost of a tangible or physical asset over its useful life. Depreciation represents how much of an asset's value has been used.

The approximate appreciation or depreciation we might see in the MXN/JPY cross exchange rate can be stated using the following 3 steps.

Step 1. State the initial exchange rates of the currency pairs.

Let first assume the initial exchange rates are as follows:

USD1 = JPY1

USD1 = MXN1

Therefore, we have the initial cross rate as follows:

MXN1 = USD1 = JPY1

MXN1 = JPY1

Step 2. Determine the new exchange rates

The new exchange rates can be determined as follows:

When the USD depreciates 2% versus the JPY, this implies that

USD1 X (100% + 2%) = USD1.02

has to be exchanged for JPY1.

Therefore, we now have:

USD1.02 = JPY1, or

USD1 = JPY1/1.02

USD1 = JPY0.98

Also, when The USD appreciates 1% versus the MXN, this implies that USD1  X  (100% - 1%) = USD0.99

has to be exchanged for MXN1.

Therefore, we now have:

USD0.99 = MXN1, or

USD1 = MXN1/0.99

USD1 = MXN1.01

Therefore, we have the new cross rate as follows:

MXN1.01 = USD1 = JPY0.98

MXN1.01 = JPY0.98

MXN1.01 / 1.01 = JPY0.98/1.01

MXN1 = JPY0.97, or

MXN1/0.97 = JPY0.97/0.97

MXN1.03 = JPY1

Therefore, the new exchange rates are as follows:

USD1.02 = JPY1

USD0.99 = MXN1

MXN1.03 = JPY1

c. Determination of appreciation or depreciation we might see in the MXN/JPY

Percentage of depreciation of MXN against JPY = ((Initial MXN/JPY - New MXN/JPY) / Initial MXN/YPY)  X 100 = ((1.03 - 1) / 1) * 100 = 3%

Since the percentage of depreciation of MXN against JPY is 3%, this also implies that the percentage of appreciation of JPY against MXN is 3%.

Thus, the approximate appreciation or depreciation we might see in the MXN/JPY cross exchange rate is 3%.

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Need help with this pls and thank
U soo
Much

Answers

Answer:

post the question??

Step-by-step explanation:

Answer:

What are we helping y with

Step-by-step explanation:

What is 1/3 of 26 2/3. Please help me

Answers

Answer:

8.888(8)

Step-by-step explanation:

(26 +2/3)/ 1/3 =8.8888888889

If a=(-1 -3 2 2 5 -1 -4 -5 -4) and b=(3 3 5 2 -5 2 -4 -1 1) find AB?

Answers

Answer:

what is the control ofprice floir or price celling then scplain one advantage an one dissvantage

The correct answer is -54

Pleas help me please i dont know what this question is ​

Answers

Answer:

A = 6

B = 1

C = 14

Step-by-step explanation:

A = 25 - 19 = 6

B = 6 - 5 = 1

C = 19 - 5 = 14

give brainliest please! <3

what point is not included in the solution set for the inequality (0,6) (1,5) (2,4) (3,2) ​

Answers

Answer:

(3, 2)

Step-by-step explanation:

To be considered part of a solution set for the inequality provided, a given point must lie within the shaded region that is graphed. Since we want to find the point that is not included in the solution set for the inequality, we need to find the point that does not lie in the shaded region.

Let's test each point to see which doesn't lie in the region. Refer to the image below if you're having trouble graphing the points:

(0, 6): This point lies in the shaded region, so it is not our answer.(1, 5): This point lies in the shaded region, so it is not our answer.(2, 4): This point lies in the shaded region, so it is not our answer.(3, 2): This point does not lie in the shaded region, so it is our answer.

Hope this helps!

The graph of f(x) = x2 is translated to form g(x) = (x – 5)2 + 1. On a coordinate plane, a parabola, labeled f of x, opens up. It goes through (negative 2, 4), has a vertex at (0, 0), and goes through (2, 4). Which graph represents g(x)? On a coordinate plane, a parabola opens up. It goes through (2, 10), has a vertex at (5, 1), and goes through (8, 10). On a coordinate plane, a parabola opens up. It goes through (2, 8), has a vertex at (5, negative 11), and goes through (8, 8). On a coordinate plane, a parabola opens up. It goes through (negative 8, 10), has a vertex at (negative 5, 1), and goes through (negative 2, 10). On a coordinate plane, a parabola opens up. It goes through (negative 8, 8), has a vertex at (negative 5, negative 11), and goes through (negative 2, 8).

Answers

The transformation of a function may involve any change. When the graph of f(x) is transformed into 5 units to the right and one unit up, then the function g(x) is obtained.

How does the transformation of a function happen?

The transformation of a function may involve any change.

Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs) etc.

If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:

Horizontal shift (also called phase shift):

Left shift by c units, y=f(x+c) (same output, but c units earlier)Right shift by c units, y=f(x-c)(same output, but c units late)

Vertical shift

Up by d units: y = f(x) + dDown by d units: y = f(x) - d

Stretching:

Vertical stretch by a factor k: y = k \times f(x)Horizontal stretch by a factor k: y = f(x/k)

Given the function f(x)=x², which is transformed to g(x)=(x-5)²+1, therefore, the graph of both the functions are given below.

When the graph of f(x) is transformed into 5 units to the right and one unit up, then the function g(x) is obtained.

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Use the Polygon tool to draw an image of the given polygon under a dilation with a scale factor of 14 and center of dilation ​(0, 0)​.

Answers

The points are (168, 168) , (168,56) , (112,0) , (70,112)

Given a scale factor is 14 and the center of dilation (0,0)

We need to find the Points using the scale factor and polygon tool

Now to find the new points the equation is

(old points - dilation center)*scale factor + dilation center

As we know the origin is the dilation center which simplifies to

(old point)*dilation center

(12,12) * 14  =  (168,168)

(12,4) * 14 = (168, 56)

(8,0)*14  =   (112, 0)

(5,8) *14  = (70, 112)

Hence the new points are  (168, 168) , (168,56) , (112,0) , (70,112)

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What is the equation of the graph below

Answers

Answer:

y = csc(x)+2

Step-by-step explanation:

This is the graph of y = csc(x), shown in the attached image, shifted up 2 units.

The volume of a cubical box is
54.872 cm3. The length of the side of
the box is
(b) 3.6 cm
(c) 3.8 cm
(a) 3.4 cm
(d) 3.2 cm

Answers

The sides length of the cubical box is 3.8 cm if the volume of a cubical box is 54.872 cm³ option second is correct.

What is a cube?

It is defined as three-dimensional geometry that has six square faces and eight vertices.

We have a volume of a cubical box is 54.872 cm³

V = 54.872 cm³

As we know the volume of the cube:

V = side³

54.872 = side³

Taking cube root on both sides:

side = 3.8 cm

Thus, the sides length of the cubical box is 3.8 cm if the volume of a cubical box is 54.872 cm³ option second is correct.

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When completing the square on the equation c^2 + 11c = 12, the resulting solution is

Answers

Answer:

Attached file is the solutions

Step-by-step explanation:

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