100 POINTS PLEASE HELP
Please be accurate with this too.

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]

Explanation:

Replace x with 4. Then use PEMDAS to simplify fully.

[tex]y = (14+x) \div 2\\\\y = (14+4) \div 2\\\\y = 18 \div 2\\\\y = 9\\\\[/tex]

When using PEMDAS, we evaluate the stuff in the parenthesis first. Afterward we divide.

Answer:

centre of circle (h,k) is (-3,-2)

Option D is Correct.

Step-by-step explanation:

The centre of circle can be found from the equation as:

[tex](x-h)^2+(y-k)^2=r^2 \ then \ (h,k) \ is \ center[/tex]

So, the steps then by Mrs Culland are:

[tex]x^2 + y^2 + 6x + 4y - 3 = 0\\x^2 + 6x + y^2 + 4y - 3 = 0\\(x^2 + 6x) + (y^2 + 4y) = 3\\(x^2 + 6x + 9) + (y^2 + 4y + 4) = 3 + 9 + 4[/tex]

The next step will be:

[tex](x + 3)^2 + (y + 2)^2 = 16[/tex]

I assume there is some calculating mistake in the given options. Instead of 42 there should be 16, according to solution shown above.

The general equation of circle is

[tex](x-h)^2+(y-k)^2=r^2 \ then \ (h,k) \ is \ center[/tex]

In our case: [tex](x + 3)^2 + (y + 2)^2 = 16[/tex]

h= -3 and k= -2, so the centre of circle (h,k) is (-3,-2)

Option D is Correct.

Answer:

D,,,, (x+3)²+(y+2)²=4², so the center is (-3, -2).

Step-by-step explanation:

Answer:

I mean tbh its pretty easy

The y intercept is: (0, 2.5)

The x-intercept is: (3.5,0)

just look at the graph lol but if im

wrong sorry

Answer:

Step-by-step explanation:

Step one

given the coordinates

ABCD with vertices A(-2,-2), B(-1,3), C(5, 3), and D(4, -2)

AB=(-2,-2),(-1,3)

BC=(-1,3), (5, 3)

CD=(5, 3),(4, -2)

DA=(4, -2),(-2,-2)

The distance between points AB=

[tex]AB= \sqrt (x_2-x_1)^2+(y_2-y_1)^2[/tex]

[tex]AB= \sqrt (-1+2)^2+(3+2)^2\\\\AB= \sqrt 1^2+(5)^2\\\\AB= \sqrt26\\\\AB=5.1[/tex]

The distance between points BC=

[tex]BC= \sqrt (5+1)^2+(3-3)^2\\\\BC= \sqrt 6^2+(0)^2\\\\BC= \sqrt36\\\\BC=6[/tex]

The distance between points CD

[tex]CD= \sqrt (4-5)^2+(-2-3)^2\\\\CD= \sqrt -1^2+(-5)^2\\\\CD= \sqrt26\\\\CD=5.1[/tex]

The distance between points DA

[tex]DA= \sqrt (4+2)^2+(-2+2)^2\\\\DA= \sqrt 6^2+(0)^2\\\\DA= \sqrt36\\\\DA=6[/tex]

Hence the perimeter = 5.1+6+5.1+6

= 22.2

Answer:

The answer is D.

Step-by-step explanation:

hope that helps

Answer:

3

Step-by-step explanation:

We are required to find 6% of 50

To write it mathematically,

50 * 6%

Now, 6% can be rewritten as 6/100 because it tells us: '6 out of 100' and that is what percentage does

= 50 * [tex]\frac{6}{100}[/tex]

= [tex]\frac{300}{100}[/tex]

= 3

Hence, 6% of 50 is 3

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]

Step-by-step explanation:

Step 1: Factor both the numerator and the denominator.

Step 2: Write as one fraction.

Step 3: Simplify the rational expression.

Step 4: Multiply any remaining factors in the numerator and/or denominator.

Step 1: Factor both the numerator and the denominator.

Step 2: Write as one fraction

Answer:

8

Step-by-step explanation:

208/26 = 8

CHECK

26x8=208

LxW=A

Answer:

y^2+2xy/-x^2-2xy OR -y^2-2xy/x^2+2xy OR -y^2-2xy/(x)(x+2y)

Step-by-step explanation:

So, this is an implicit differentiation problem

x^2y+y^2x

so,

use product rule for both

x^2y'+2xy+y^2+2yy'x

collect all the y's

-x^2y'-2xyy'=y^2+2xy

y'(-x^2-2xy)=y^2+2xy

=y^2+2xy/-x^2-2xy

Note: you did not correctly enter the right expression. After a little research, I am able to find the correct expression which is as follows:

4y+9/7 when y = 8

Therefore, I am solving your query based on evaluating the expression

4y+9/7 when y = 8

Answer:

we conclude that after substituting, the first step is to 'Multiply 8 by 4'.

Step-by-step explanation:

Given the expression

4y+9/7

As we have to evaluate the given expression for the y=8

substituting y=8 in the expression

4y+9/7

= 4(8)+9/7

According to PEMDAS rule, we first need to do multiplication

Thus, the first step must have to be multiplying 4 and 8.

= 32 + 9/7

= 233/7

Therefore, we conclude that after substituting, the first step is to 'Multiply 8 by 4'.

Answer:

1.) 4/3

2.) 4/3

3.) 5

4.) 5

Step-by-step explanation:

I just took the test

Answer:

4/3

Step-by-step explanation:

i just did the assignment

Step-by-step explanation:

x+x(3)=48

combine like terms

4x=48

Divide both sides by same term

4x/4=48/4

Simplify

x=12

Answer:

4

Step-by-step explanation:

(x * 3) * x = 48 ----> (4 * 3) * 4 = 48

The * are the multiplication signs. And hope this helps please choose my answer as the best so I can get brainliest pls.

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:

perimeter of semicircle = 1/2 π d

                                       = 1/2 π (6)

                                       = 9.425 x 4 semicircles

                                       = 37.7

Answer:

The correct answer is A.

Step-by-step explanation:

1. 2(x+7)

2. 2(7+7)

3. 2(14)

4. 28

Hope this helps!

Answer:

a, c and d

Step-by-step explanation:

Answer:

2700%

Step-by-step explanation:

8 1/3% expressed as a fraction is:

25/3

The given number is in mixed fraction 8 1/3 .

To write it in fraction follow the steps,

Step 1 - Multiply 8 by 3,

8x3=24

Step 2 - Add 24 and 1,

24+1=25

The required fraction became 8 1/3 = 25/3 .

Hopes this helps :)

Answer:

Linear

Step-by-step explanation:

It's constant. Each X is going up 1 while each Y is going up 80

Answer:

1 and 7/30 minutes

Step-by-step explanation:

You know that the 3 commercials add up to 3 minutes of time. And that the first two are 1 1/6 minute and 3/5 minute. To add them you need a common denominator.

Answer:

Step-by-step explanation:

if DEF is congruent to JKL, this means that the sides of JKL are all equal to that of DEF.

Hence we can say;

DE = JK

EF = KL

DF = JL

Given

DE = 18,

EF =23,

DF = 9x-23,

JL = 7x-11

JK = 3y-21,

Required

Values of  x and y

Since DE = JK;

18 = 3y-21

18+21 = 3y

39 = 3y

y = 39/3

y = 13

Also, DF = JL

9x-23 = 7x-11

collect like terms

9x - 7x = -11+23

2x = 12

x = 12/2

x = 6

Hence the value of x is 6 and y is 13

Given: [tex]DE=18[/tex],[tex]EF=23,DF=9x-23,JL=7x-11,[/tex] and[tex]JK=3y-21.[/tex]

As [tex]\Delta[/tex][tex]DE[/tex][tex]F[/tex]  [tex]\cong[/tex]  [tex]\Delta JKL[/tex]

[tex]\Rightarrow DE=JK \ ; EF=KL \ and \ DF=JL[/tex]

[tex]\Rightarrow 18=3y-21 \ ; 23=KL \ and \ 9x-23=7x-11[/tex]

     [tex]y=13[/tex]         ; [tex]KL=23[/tex]    and        [tex]x=6[/tex]

Therefore, [tex]x=6[/tex]  and [tex]y=13[/tex]

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:

Continuous

Step-by-step explanation:

Answer:

x = 9 and y = 1

Step-by-step explanation:

Here,

x = 10 - y and y = x - 8 is given

then, name the equation

x = 10 - y ...(1)

y = x - 8 ...(2)

Now, put the value of x in equation (2) we get

y = x - 8

y = (10 - y) - 8

y = 10 - y - 8

y + y = 10 - 8

2y = 2

y = 2÷2

y = 1

Here, we get the value of y = 1

Now, we put the value of y in equation (1) we get

x = 10 - y

x = 10 - (1)

x = 10 - 1

x = 9

x = 10 - y

9 = 10 - 1

9 = 9

Hence, LHS = RHS

-TheUnknownScientist

Answer:

nnjvg Step-by-step explanation:

Answer:

Option A: 3.59% is the correct answer

Step-by-step explanation:

Z-score is used to calculate the probabilities when mean and standard deviation is given.

Given

Mean = μ = 21

SD = σ = 5

We have to find the probability of selling 12 or less water heaters so our x value is 12

x = 12

The z-score of a value is calculated as:

z-score = (x-μ)/σ

Putting the values

[tex]z-score=\frac{12-21}{5} \\=\frac{-9}{5}\\=-1.8[/tex]

Now z-score table will be used to calculate the probability for z= -1.8

So we will go for the row with -1.8 and column 0, which gives us: 0.03593

As we have to calculate the probability in percentage

[tex]=0.03593*100\\= 3.593\%[/tex]

Hence,

Option A: 3.59% is the correct answer

Answer:

1. 3.87

2. 7.07

3. 69.89

4. 70.87

Step-by-step explanation:

Answer:

a. Slope = 2; y-intercept = 2

b. Slope = 2; y-intercept = 3

c. Slope = 2; y-intercept = -1

d. Slope = -2; y-intercept = 5

e. Slope = -3; y-intercept = -5

d. Slope = -2; y-intercept = 1

Step-by-step explanation:

I Hope That This Helps! :)

Answer:

[tex]Probability = \frac{13}{15}[/tex]

Step-by-step explanation:

Given

Ticket Numbers = 1 to 60

Required

Determine the probability of not selecting multiples of 7

First, we need to list out the multiples of 7 in this range:

[tex]Multiple = 7,14,21,28,35,42,49,56[/tex]

These are 8 in numbers. So, there are 8 multiples

Next, is that we determine the number of non multiples of 7. This s calculated as:

[tex]Non\ Multiples = 60 - 8[/tex]

[tex]Non\ Multiples = 52[/tex]

The required probability is then calculated as:

[tex]Probability = \frac{Non\ Multiples}{Total}[/tex]

[tex]Probability = \frac{52}{60}[/tex]

[tex]Probability = \frac{13}{15}[/tex]

Answer:

Step-by-step explanation:

There are 8 numbers between 24 and 31, inclusive. So the probability of getting a number in that range is 885. Therefore, by the complement rule, the probability of not getting one of these numbers is

[tex]1-(8/85)= 85- 8 /85=77/ 85[/tex]