Given the function f(x) = 3x + 1, evaluate f(a + 1).
A. 3a + 1
B. a + 2
C. 3a + 4

Answer:

112/125

Step-by-step explanation:

If we know all 25 are in at least one foreign language class then we can assume that exactly 4 of the 18 kids in French only take French to add up to 25 and this means that the 14 left take both classes. Now we can create three fractions for each case which are 7/25 (Spanish only) 4/25 (French only) and 14/25 (Both) and we can know say that if he goes down the route of getting a Spanish only as his first he needs one of the 18 other students the chances of this happening are 7/25 * 18/25 = 126/625 the same thing is done with the French only and we get 4/25 * 21/25 = 84/625 and then we have the possibility of just getting a student that does both which is 14/25 or 350/625. now we add them all together to get 560/625 which is simplified to 112/125.

Hope this helps please mark brainliest :)

Answer:

Perimeter = 20 units

x = 120°

Step-by-step explanation:

We are given a triangle ABC with known side lengths for all three sides and an inscribed circle.

We are to find the perimeter of triangle ABC and the value of x.

Perimeter of triangle ABC = 2 + 2 + 5 + 5 + 3 + 3 = 20 units

The kite shape at the end is a quadrilateral which has a sum of angles of 360 degrees.

Two out of four angles are right angles and one is 60 so we can find the value of x.

x = 360 - (90 + 90 + 60) = 120°

Answer:

6.  20                      8.  120

Step-by-step explanation:

add the side measurements up of the triangle:

2+5+2+3+3+5=7+5+8=20

That shape where the x is a quadrilateral so is't interior angles must add to 360 so you have 90+90+60+x=360

Solving:  230+x=360

So x=360-240=120

Answer:

24 units cubed

Step-by-step explanation:

Volume is just length x width x height

so the width is 2 units and the height is 2 units and the length is 6 units: 2 x 2 = 4

4 x 6 = 24 units cubed

One unit cube = 1 by 1 by 1.

In the long picture, we have 2 by 2 by 6.

Volume = 2 x 2 x 6

Volume = 4 x 6

Volume = 24 units^3

Answer:

Part 21) The distance from Football Field to the Park is [tex]10.95\ miles[/tex]

Part 22)

a) The value of a is [tex]20\ units[/tex]

b) The value of b is [tex]20.10\ units[/tex]

Step-by-step explanation:

Part 21)

Let

A -----> Football Field

B -----> Park

C -----> Home

D -----> Library

x -----> the distance from Football Field to the Park

In the right triangle ABD

[tex]cos(A)=10/x[/tex] -----> equation A

In the right triangle ABC

[tex]cos(A)=x/12[/tex] ----> equation B

equate equation A and equation B

[tex]10/x=x/12[/tex]

solve for x

[tex]x^{2}=120\\ \\x=10.95\ miles[/tex]

Part 22)

see the attached figure with letter to better understand the problem

step 1

Find the value of a

In the right triangle ABD

[tex]tan(ABD)=a/200[/tex] ----> equation A

In the right triangle ADC

[tex]tan(DAC)=2/a[/tex] ----> equation B

remember that angle ABD is congruent with angle DAC

therefore

equate equation A and equation B

[tex]a/200=2/a[/tex]

solve for a

[tex]a^{2}=400\\ \\a=20\ units[/tex]

step 2

Find the value of b

In the right triangle ADC

Applying the Pythagoras Theorem

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

substitute the value of a

[tex]b^{2}=20^{2}+2^{2}[/tex]

[tex]b^{2}=404[/tex]

[tex]b=20.10\ units[/tex]

Step-by-step explanation:

You need to look for where f(x) and g(x) have the same value.  That's at x=0 and x=2.

Answer: If you want to see in what value of x there is true that f(x) = g(x), you need to see in the table when f(x) and g(x) has the same value, this is lock in in table when the second and third values are the same.

This is true for x = 2, where f(2) = 0 and g(0) = 2, and for x = 0, wher f(0) = -3 and g(0) = -3.

Answer:

  (n/24)^3

Step-by-step explanation:

If "n" represents "a number," then "the quotient of a number and 24" means ...

  (n/24)

The cube of that is ...

  (n/24)^3

The length of first side is 5 feet, the length of second side is 7 feet, the length of third side is 3 feet.

The perimeter is the sum of measurement of all sides of a triangle. It is done by a ruler.

let the second side be x

according to question first side will be (x-2) feet and the third side will be (x-4) feet.

We know that  the perimeter is equal to the sum of all sides of a triangle.

so

x+x-2+x-4=15

3x=6=15

3x=21

x=7

The length of first side=7-2=5 feet

The length of second side=7 feet

The length of third side=3 feet

Hence the sides of the triangle is 5 feet, 7 feet, and 3 feet.

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Answer:

The initial position was 35.1 m

Step-by-step explanation:

Let

x -----> the initial position

we know that

The linear equation that represent this problem is equal to

x+18.4=53.5

Solve for x

Subtract 18.4 both sides

x=53.5-18.4

x=35.1 m

Answer:

Two

Step-by-step explanation:

x² + x = 11

The degree of a polynomial will always tell us the maximum number of solutions

You have a second degree polynomial, so there are two possible solutions.

They are

[tex]x = \dfrac{1}{2} \left (-1 - 3\sqrt{5} \right )[/tex]

and

[tex]x = \dfrac{1}{2} \left (-1 + 3\sqrt{5} \right )[/tex]

The diagram below shows that the zeros are at (-3.854,0) and (2,854, 0), which are the decimal equivalents of the roots.

Answer:

Graph D last graph

Step-by-step explanation:

Answer:

12 in

Step-by-step explanation:

the arc length formula is s = rФ, where Ф is the central angle in radians.

Here, the arc length is s = (4 in)(3 radians) = 12 in

Answer:

D on edge

Step-by-step explanation:

This would be the symmetric property!

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

The property illustrated here is symmetric property .

Explanation:

Symmetric Property of Equality. The following property: If if a = b then b = a. This is one of the equivalence properties of equality. See also. Reflexive property of equality, transitive property of equality, transitive property of inequalities.

Answer:

Solution to pair of linear equations

Step-by-step explanation:

Subtract second equation from the first

[tex]3x-8y=29\\3x+ y=-2\\[/tex]

subtraction eqn 2 from 1 we get

[tex](3x-3x)+(-8y-y) = (29-(-2))\\-9y=31\\y=-\frac{31}{9} \\y= - 3.44[/tex]

In order to find the value of x we will put this value of y in anyof the above equation and solve it for x

[tex]3x-\frac{31}{9} = -2\\3x=-2+\frac{31}{9} \\3x=\frac{-18+31}{9} \\3x=\frac{13}{9} \\x=\frac{13}{9*3} \\x=\frac{13}{27} \\x=0.4814[/tex]

The Correct answer which is solution two the above linear pair of equations is

x=0.4814

y=-0.344

Answer:

see below

Step-by-step explanation:

The first equation is in slope-intercept form, so you can see that the boundary line has a slope of -2 and goes through the point (x, y) = (0, -4). Since the comparison is "<", the line is dashed and shading is below it.

The second equation is that of a vertical boundary line at x=-3. It is solid, because the comparison includes the "equal" case. Shading is to the right of it, where x values are greater than -3.

Answer:

right towards positive x axis

Step-by-step explanation:

In order to find the orientation of the parabolas we can follow following steps.

1. if in the equation x is squared , the parabola opens up. Also if its coefficient is negative it opens down.

2. If y is squared , the parabola opens right , and its coefficient is negative , it opens left

but before that we have to convert our function in standard form of the parabola. Our equation is

[tex]y=\sqrt{x-4}[/tex]

hence we square on both sides

[tex]y^2=x-4[/tex]

which is now into one of the standard form of a parabola. here y is squared and its coefficient is not negative hence it opens towards right.

Answer:

Option B is correct.

Step-by-step explanation:

y=4x^2-6x+1

Solving the quadratic equation:

4x^2-6x+1

[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

a=4, b=-6 and c=1

[tex]x=\frac{-(-6)\pm\sqrt{(-6)^2-4(4)(1)}}{2(4)}\\x=\frac{6\pm\sqrt{36-16}}{8}\\x=\frac{6\pm\sqrt{20}}{8}\\x=\frac{6+\sqrt{20}}{8} \,\,and\,\, x=\frac{6-\sqrt{20}}{8}[/tex]

So, it has 2 solutions,

Option B is correct.

Answer: [tex]a_n=-50+(n-1)17[/tex]

Step-by-step explanation:

The Arithmetic Sequence Formula is:

[tex]a_n=a_1+(n-1)d[/tex]

Where:

[tex]a_n[/tex] is the [tex]n^{th}[/tex] term of the sequence.

[tex]a_1[/tex] {a_1} is the first term of the sequence.

[tex]n[/tex] is the term position.

[tex]d[/tex] is the common difference of any pair of consecutive numbers.

We can observe that the first term is:

[tex]a_1=-50[/tex]

Now, we need to find "d". This is:

[tex]d=-16-(-33)\\d=-16+33\\d=17[/tex]

Then, substituting, we get the following equation:

[tex]a_n=-50+(n-1)17[/tex]

Answer:

1) 2x-5                 2)  -10/x^2

Step-by-step explanation:

Use power rule and constant rule for the first one:

1) f(x)=x^2-5x^1+1                                (x^n)'=nx^(n-1) and (c)'=0

f'(x)=2x^1-5(1)x^0+0                        

f'(x)=2x-5(1)                                        x^0=1

f'(x)=2x-5

Use just power rule for last one after a rewrite

2) f(x)=10/x

f(x)=10x^(-1) now use power rule

f'(x)=-10x^(-2) =-10/x^2

Answer: 3.6 hours

Step-by-step explanation:

Given : The time taken by Blake to paint the room : [tex]t_1=9\text{ hours}[/tex]

The time taken by Ned to paint the room : [tex]t_2=6\text{ hours}[/tex]

Then , the time taken (T) by both of them to paint the room if they work together is given by :-

[tex]\dfrac{1}{T}=\dfrac{1}{t_1}+\dfrac{1}{t_2}\\\\\Rightarrow\ \dfrac{1}{T}=\dfrac{1}{9}+\dfrac{1}{6}\\\\\Rightarrow\dfrac{1}{T}=\dfrac{5}{18}\\\\\Rightarrow\ T=\dfrac{18}{5}=3.6\text{ hours}[/tex]

Hence, it will take 3.6 hours to the two companies if they working together .

Answer:

  D.Divide the first equation, −4x + 8y = 16, by 2.

Step-by-step explanation:

All you have to do is look at the effect of the proposed action on the constant on the right to tell which answer choices are incorrect.

Answer:

D.Divide the first equation, −4x + 8y = 16, by 2.

Step-by-step explanation:

−4x + 8y = 16

2x + 4y = 8

Take the first equation and divide it by 2

−4x/2 + 8y/2 = 16/2

-2x + 4y = 8

Answer:

A. (1,2)

B. (3,1)

C.(4,4)

D. (6,6)

E. (8,4)

Step-by-step explanation:

Answer:

Answer:

A. (1,2)

B. (3,1)

C.(4,4)

D. (6,6)

E. (8,4)

Step-by-step explanation:

Your answer is D. y = 36

We can find this by just rearranging the equation firstly:

2 + √4y - 3 = 11

√4y - 1 = 11

√4y = 12

Now we can simplify √4y, because 4 2², so you get 2√y :

2√y = 12

√y = 6

We can now square both sides to get the equation as "y ="

y = 36

I hope this helps! Let me know if you have any questions :)

ANSWER

P'(2,7)

EXPLANATION

When we reflect a point in the y-axis, we negate the x-coordinates.

The rule for reflection across the y-axis is

[tex](x,y)\to (-x,y)[/tex]

The given point, P has coordinates (-2,7)

To obtain the coordinates of the image P', we negate the x-coordinate of P(-2,7).

[tex]P( - 2,7) \to \: P'( - - 2,7)[/tex]

[tex]P( - 2,7) \to \: P'(2,7).[/tex]

Answer:

(2, 7)

Step-by-step explanation:

Under a reflection in the y- axis

a point (x, y) → (- x, y)

Hence

P(- 2. 7) → P'(2, 7)

Answer:

A. -19

Step-by-step explanation:

There are lots of ways to get there. One of them is to realize that the average rate of change between two adjacent numbers is the negative of their sum. -(9+10) = -19.

__

Another is to extend the table:

6 to 7 : -13

7 to 8 : -15

8 10 9 : -17

9 to 10 : -19

__

Yet another is to write an equation for the function, and compute the average rate of change:

f(x) = -x^2 -1

average rate of change from 9 to 10 = (f(10) -f(9))/(10 -9) = (-101 -(-82))/(10 -9) = -19

Answer:

A. -19

Step-by-step explanation:

By substitution of formula, the expression of principle P is P = I/(r*t) .

Substitution of formula is a method to find any parameter from the given expression by substituting the required value from the expression or equation mentioned.

Given expression is I = Prt .

Substituting the parameter of principle(P) from the above expression -

P = I/(r * t)

Thus, by substitution of formula, the expression of principle P is P = I/(r*t) .

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Answer: The answer is B.

Step-by-step explanation:

Area of parallelogram = B*H (base times height)

Here, the base is 32 inches and the height is 33 inches.

32*33=1,056in^2

Answer:b

Step-by-step explanation:

We multiply base and height

Answer:

  Altogether, they had ?28

Step-by-step explanation:

Had Obi spent only ?12, they would have been even. Thus ?12 is the same as 5-2 = 3 "ratio units". So, each "ratio unit" is worth ?12/3 = ?4.

Then Obi started the day with 5·4 = 20, and Obi started the day with 2·4 = 8. Obi ended with 0, which is 8 less than Rudy.

Altogether, they started with 20 + 8 = 28 of whatever a ? is.

Answer:

Money they have  initially altogether = 28

Step-by-step explanation:

The ratio of money in Obi's wallet to Rudy's wallet one day was 5:2.

Money Obi has = 5 r

Money Rudy has = 2 r

Obi spent 20 that day and bi now had 8 less than Rudy

               5r -20 = 2r - 8

               3r = 12

                 r = 4

Initial money they have

                Obi = 5r = 5 x 4 = 20

                 Rudy = 2 x 4 = 8

Altogether they have 20+8 = 28

Money they have  initially altogether = 28

Answer:

The list is -1,1,-2,2,-4,4,-8,8,-1/2,1/2

Step-by-step explanation:

Possible rational zeros are the constant factors/leading coefficient factors

So factors of -8:  -1,1,-2,2,-4,4,-8,8

So factors of 2:  -1,1,-2,2

Now put every number in the first list over every number in the second list:

The possible rational zeros are:

-1/1=-1

1/1=1

-2/1=-2

2/1=2

-4/1=-4

4/1=4

-8/1=-8

8/1=8

-1/2

1/2

I didn't write any number twice.... like -8/2 is just -4 which I already wrote

The list is -1,1,-2,2,-4,4,-8,8,-1/2,1/2

Answer:

±1/2, ±1, ±2, ±4 and ±8

Step-by-step explanation:

The Rational Zeros Theorem is defined as when a polynomial has all coefficients  integer, then any rational zeroes of the polynomial have to be in the form ±p/q, where q is the coefficient of the highest power of the variable and p is declared  as the constant term.

Furthermore, a rational  "zero" is for a polynomial.  when the polynomial is p(x), a "zero" is a value of x when  p(x) = 0

Secondly, we have to know  what a "rational zero" is.  A "rational zero" is a zero that its number is rational.  Some polynomials  have some rational zeros and some irrational zeros, and some only have zeros that are rational numbers.

By applying this theorem,  all  possible factors of the constant term must be considered . In this example they are 1, 2, 4, and 8.  After that Then you consider all possible factors of the coefficient of the highest power of the variable. we take the x³ term, whose coefficient is 2. the  the possible factors of 2 are 1 and 2.

Therefore, the possible list of rational zeroes are given below

 ±1/1 = ±1

±1/2

±2/1 = ±2

±2/2 = ±1

±4/1 = ±4

±4/2 = ±2

±8/1 = ±8

±8/2 = ±4

By removing the duplicates, we arrive at the following,

±1/2, ±1, ±2, ±4 and ±8

Answer:

59

Step-by-step explanation:

Let c and b represent the scores of Colin and Brian respectively.  Then

c + b = 59.  Since brian scored 59 more points than Colin, that means c = 0 and b = 59.  Their combined score is 0 + 59 = 59.