An expression is written as m−5(m+3) +7m.
What is the value of the expression when m=x+1?

Answer:

[tex]Rate = -52[/tex]

Step-by-step explanation:

Given

[tex]g(x) = -4x^3 + 1[/tex]

x = -4 to x = 1

Required

Determine the average rate of change

This is calculated using:

[tex]Rate = \frac{g(b) - g(a)}{b - a}[/tex]

Where

[tex]a = x = -4[/tex]

[tex]b = x = 1[/tex]

Calculating g(b):

g(b) = g(1)

If [tex]g(x) = -4x^3 + 1[/tex], then

[tex]g(1) = -4(1)^3 + 1[/tex]

[tex]g(1) = -4*1 + 1[/tex]

[tex]g(1) = -4 + 1[/tex]

[tex]g(1) = -3[/tex]

Calculating g(a):

g(a) = g(-4)

If [tex]g(x) = -4x^3 + 1[/tex], then

[tex]g(-4) = -4(-4)^3 + 1[/tex]

[tex]g(-4) = -4*-64 + 1[/tex]

[tex]g(-4) = 256 + 1[/tex]

[tex]g(-4) = 257[/tex]

So, the formula:

[tex]Rate = \frac{g(b) - g(a)}{b - a}[/tex]

becomes

[tex]Rate = \frac{g(1) - g(-4)}{1 - (-4)}[/tex]

[tex]Rate = \frac{g(1) - g(-4)}{1+4}[/tex]

[tex]Rate = \frac{g(1) - g(-4)}{5}[/tex]

[tex]Rate = \frac{-3 - 257}{5}[/tex]

[tex]Rate = \frac{-260}{5}[/tex]

[tex]Rate = -52[/tex]

Answer:

Porportional

Step-by-step explanation:

-1 x = -15 y

-7 x -15 = -105, correct

-9 x -15 = -135, correct

Because all are correct, this is porportional. This means that there is a unit rate and if this were graphed, the line would be straight.

I Hope That This Helps! :)

Answer:

1 5/9 miles per day

Step-by-step explanation:

(4 2/3)/3 = 1 5/9

Answer:

(

x

−

2

)

(

x

−

2

)

=

0

x

=

2

Explanation:

To factor the expression you need to find factors of 4 which add up to 4.

The signs will be the same (because of +4), they are both minus (because of -4x).

2

×

2

=

4

and

2

+

2

=

4

(

x

−

2

)

(

x

−

2

)

=

0

Now that we have the factors, we can solve:

If

x

−

2

=

0

, then  

x

=

2

(Sorry if confusing, it wouldnt let me write it out how i wanted to..)

Answer:

(1)25 pound bag (2) 10 pound bags and(1) 5 pound bag

Step-by-step explanation:

Answer:

Private Loans

Step-by-step explanation:

Answer:

This is called subsidized loan

We have:

ba + 3ca = -2

Extract common factor "a":

a(b + 3c) = -2

Divide by the term (b + 3c):

[tex]a = \dfrac{-2}{b+3c}[/tex]

Answer:

mera bahi mil nhi rha h abhay ko jante h

Answer:

sin([tex]\frac{7\pi }{4}[/tex] ) = -[tex]\frac{\sqrt{2} }{2}[/tex]

Step-by-step explanation:

If cos(theta) = [tex]\frac{\sqrt{2} }{2}[/tex], then theta should equal [tex]\frac{\pi }{4}[/tex] or [tex]\frac{7\pi }{4}[/tex]  since both angles are on the right side of the origin, meaning the cosine would be positive. However, it states that the angle theta terminates at quadrant IV so the only angle that would meet this criteria is [tex]\frac{7\pi }{4}[/tex] .

So theta should equal [tex]\frac{7\pi }{4}[/tex] .

Now that we have theta, all you have to do is find the value of sine by plugging it in.

sin([tex]\frac{7\pi }{4}[/tex] ) = -[tex]\frac{\sqrt{2} }{2}[/tex]

Answer: 144 Hamburgers were sold on Sunday.

Step-by-step explanation:

Hamburgers: 432 ÷ 3 = 144

Chessburgers : 432 - 144 = 288

Answer:

[tex] 24 \times c \\ \\ 24c[/tex]

Step-by-step explanation:

[tex]24 \times c \\ \\ 24c[/tex]

Answer:

Line R, S, and P are parallel lines meaning any lines that pass through them will form the same angles. Look at 4 and 2. One line is intersecting S and P to for the same angles. Corresponding angles in parallel lines which are formed by an intersecting line are equal. Therefore 4 and 2 are equal. That leaves B, C, and D left. 4 is also congruent to 5.  This is because if 4 is congruent to 2 and 2 is congruent to 5 by vertical angles theorem, 5 must be equal to 4 (transitive property of equality: is a=b and b=c then a=c)

That leaves B and D left. Notice the angle made at the very top left. Across from that unlabeled angle is 6. By vertical angles theorem those 2 angles are congruent. The unmarked angle is equal to 2 and 4 because corresponding angles in parallels are congruent. Therefore lets mark that unmarked angle as 0. If the m< 6 = m< 0 and the m<0= the m<4 then m<6 must equal the m<4.

That leaves Just B remaining thus B is NOT congruent to 4

<3 is the answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

Angle 2x + 30 is exterior which is equal to sum of non-adjacent interior angles:

Answer:

the answer is 9

Step-by-step explanation:

Answer:

it is 9

Step-by-step explanation:

Answer:

takes 3 minutes

Step-by-step explanation:

Answer and Step-by-step explanation:

Solution:

Given:

A, B and C are sets.

We have to prove that:

(A − B) ∩ (C − B) = (A ∩ C) − B.

Use an element x,

Let x Є (A – B), by the definition of difference:

X Є A  and x ∉ B.

And

X Є A ∩ C and x ∉ B

X Є (A ∩ C) – B

Now let x Є C – B

By the definition of difference:

X Є C and x ∉ B

By definition of intersection: x Є C and x Є( A ∩ C)  

By definition of difference, using that x Є(A ∩ C) And x  ∉ B:

X Є ( A ∩ C) – B

We know that: x Є (A – B) ∩ ( C – B)

Is equivalent to x Є A – B  and x Є C – B

So, ( x Є A and x ∉ B)

And (x Є C and x  ∉  B)

From this we know that x Є (A ∩ C) – B.

Answer:

B. 268

Step-by-step explanation:

The new mean for the given data set can be obtained as 268.

In order to calculate average, divide the total sum of the data to the total number of data. An average is a standard number for a given data whose value can both be more or less than it.

The given data is 225, 259, 306, 325, 350.

And, its mean is given as 293.

Here, the number of elements is 5.

If 25 is subtracted from each value, new mean can be evaluated as below,

New mean = (Old mean × 5 - 25 × 5)/5

⇒ (293 × 5 - 25 × 5)/5

⇒ 293 - 25 = 268

Hence, the new mean can be obtained as 268.

To know more about average click on,

https://brainly.com/question/12322912

#SPJ2

Answer:

a

  [tex]E = 0.4850 [/tex]  

b

 [tex]E = 0.8689[/tex]  

Step-by-step explanation:

From the question we are told that

   The sample size is  n  =  108

    The sample mean is  [tex]\= x = 8.8 \ years[/tex]  

     The standard deviation is  [tex]\sigma = 3.5[/tex]

From the question we are told the confidence level is  85% , hence the level of significance is    

      [tex]\alpha = (100 - 85 ) \%[/tex]

=>   [tex]\alpha = 0.15[/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } = 1.44 [/tex]

Generally the margin of error is mathematically represented as  

      [tex]E = Z_{\frac{\alpha }{2} } *  \frac{\sigma }{\sqrt{n} }[/tex]

=>    [tex]E = 1.44 *  \frac{ 3.5 }{\sqrt{108} }[/tex]

=>    [tex]E = 0.4850 [/tex]  

From the question we are told the confidence level is  99% , hence the level of significance is    

      [tex]\alpha = (100 - 99 ) \%[/tex]

=>   [tex]\alpha = 0.01[/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } = 2.58 [/tex]

Generally the margin of error is mathematically represented as  

      [tex]E = Z_{\frac{\alpha }{2} } *  \frac{\sigma }{\sqrt{n} }[/tex]

=>    [tex]E = 2.58 *  \frac{ 3.5 }{\sqrt{108} }[/tex]

=>    [tex]E = 0.8689[/tex]  

Answer:

What's the question?

Step-by-step explanation:

Answer: Incomplete question?

Step-by-step explanation: is there any images attached? What is the question?

Answer:

b

Step-by-step explanation:

The length of the arc subtended by a central angle of 4 radians = 20 m

Diameter of the circle = 10 m

Radius of the circle = 5 m

Central angle in radians = 4 radians

The length of arc for the circle can be determined by the formula as formulated in equation (1)

[tex]\rm L = Length\; of \; Arc \\\theta = Central \; Angle \; in \; radians \\r = Radius\; of\; the\; circle\\L = \theta \times r.......(1)[/tex]

From equation (1) we can write that

[tex]\rm L = 5 \times 4 = 20 \; m[/tex]

The length of the arc subtended by a central angle of 4 radians = 20 m

For more information please refer to the link given below

https://brainly.com/question/16403495

Answer:

Step-by-step explanation:

2. 27

3. 18

Answer:

s o w h a t y o u n e e d t o d o i s

Step-by-step explanation:

Answer:

I think you would add the numbers then divide by 2

Step-by-step explanation:

Answer:

The trigonometric values for cos are C = A/H, which means that to find cos(60), you need to divide the adjacent side by the hypotenuse, which in this case gives you 1/2, so that is the value of cos(60).

I hope this helps!

Step-by-step explanation:

Answer:

r+17

This equation is stating to write an expression (without an = sign. varies from an equation). It states that you need to write it as 17 more than r. This means 17 added on to r . r+17

Step-by-step explanation:

Answer:

X=-2

add 4 to -18

divide -14 (from the previous step [-18+4]) by 7

-14/7 = -2 (from previous step [14/7 = 2, keep it negative])

X = -2 (x equals negative two)

Answer:

[tex] x = 7 [/tex]

Step-by-step explanation:

Given that AB and BC are perpendicular, it follows that:

m<ABC = right angle = 90°

Thus:

[tex] 75 + (x + 8) = 90 [/tex] (angle addition postulate)

Solve for x

[tex] 75 + x + 8 = 90 [/tex]

[tex] 83 + x = 90 [/tex]

Subtract 83 from each side

[tex] 83 + x - 83 = 90 - 83 [/tex]

[tex] x = 7 [/tex]

Answer:

1. 1/3

2. 200

Step-by-step explanation:

A sequence is said to be Geometric sequence if there is a common ratio 'r' in each successive term and the previous term.

[tex]r=\frac{\text{Successive term}}{\text{Previous term}}[/tex]

Given sequence is,

500, 100, 20......

Ratio of 2nd and 1st term = [tex]\frac{100}{500}[/tex]

                                          = [tex]\frac{1}{5}[/tex]

Ratio of 3rd and 2nd term = [tex]\frac{20}{100}[/tex]

                                           = [tex]\frac{1}{5}[/tex]

Therefore, there is a common ratio 'r' = [tex]\frac{1}{5}[/tex]

And the given sequence will be geometric sequence.

Learn more,

https://brainly.com/question/11266123

Answer:

784 x 7858 = 6160672

Step-by-step explanation:

Answer:

Step-by-step explanation:

6160,672

Correct question:

Evaluate and simplify the expression when a = 3 and b = 2,

given expression =  3b-2(1 - b)a - 2

Answer:

3b-2(1 - b)a - 2 at the given values is 10.

Step-by-step explanation:

Given;

3b-2(1 - b)a - 2

The expression is simplified as;

3b-2(1 - b) a - 2 = 3b - 2a(1 - b) - 2

                         = 3b - 2a + 2ab - 2

When a = 3 and b = 2; then, substitute these values in the simplified expression above;

3b - 2a + 2ab - 2 = 3(2) - 2(3) + 2(3 x 2) - 2

                            = 6 - 6 + 12 - 2

                            = 10

Therefore, 3b-2(1 - b)a - 2 at the given values is 10.