if f(x) = 5x^3 - 2, then what is the remainder when f(x) is divided by x + 2​

Answer:

The equation of the second line is;

y = 4x - 27

Step-by-step explanation:

Firstly, we need the slope of the first line

To get the slope, we need the equation in the general form of ;

y = mx + c

where m is the slope of the line

Thus, we have in this case, to divide through by -5

That will give the slope value as -5/20 = -1/4

If two lines are perpendicular, the product of their slopes is -1

The slope of the line we want to calculate, let us call it m

m * -1/4 = -1

-m = -4

m = 4

So we want to write the equation of a line with slope 4 and point (8,5)

We proceed to use the point-slope form

That will be;

y-y1 = m(x-x1)

y-5 = 4(x-8)

y-5 = 4x-32

y = 4x -32 + 5

y = 4x -27

Answer:

A class has 10 science students, both of Physics and Biology.

If Biology group has 3 students, what's the number of students in the Physics group?

Answer: 36.00

Step-by-step explanation:

Divide 36.00 by 10 and You Simply Get 3.60

Hope this Helps :DD

Answer:

Sheldon had 2 7/12 kg left

4 1/4 - 1 2/3 = 3 1/4 - 2/3

= 3 3/12 - 8/12

= 2 15/12 - 8/12

= 2 7/12

Hope this helps! have an amazing day :)

Answer:

[tex]a=-13[/tex]

Step-by-step explanation:

We can use substitution to find the value of [tex]a[/tex]:

[tex]qt+a=-1[/tex]

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

[tex]12+a=-1[/tex]

[tex]a=-13[/tex]

Hope this helps :)

Answer:

Step-by-step explanation:

8+5+9.4= 22.4

100n+22.4

100(3.14)+22.4= 336.4

I gave you this to help you, if you know how much is in each paint cans, than divide that number with 336.4, and you'll get your answer.

Answer:

[tex]y=24,[/tex] when [tex]x=1[/tex].

Step-by-step explanation:

Given: [tex]y=4x+20[/tex]

To find: Value of [tex]y[/tex], substituting the known value of [tex]x[/tex]

We have,

[tex]y=4x+20 ...(i)[/tex]

Putting [tex]x=1[/tex] in equation [tex](i)[/tex], we get

[tex]y=4(1)+20[/tex]

[tex]\implies y=4+20[/tex]

[tex]\implies y=24[/tex]  

Hence, the value of [tex]y[/tex] is [tex]24[/tex], when the value of [tex]x[/tex] is [tex]1[/tex].

Step-by-step explanation:

-70x^4 + 30x

= 10x(-7x^3 + 3)

ANSWER: 10x(-7x^3 + 3)

Answer:

11. Coordinates of the meeting point 18,24

12.equation for line R, y= -2x/5-4

equation for line E,y=2x/5+12

13. 1,3, 4,5,10,13 ,15

14.70°

15. AC= 47

Step-by-step explanation:

I'm pretty sure about the answers. Please consider making brainliest. Thank you

Answer: C (104)

Step by step explanation:

To find this answer, you would multiply all the answer choices by 25% and then add the answer to 78 and if the answer is that number, then its correct

104 times 25%=26

78+26=104

Answer:

20+3+0.7+0.08+0.005

Step-by-step explanation:

can you follow me

Answer:

Bella takes 90 cookies

Dana takes 45 cookies

Olga takes 15 cookies

Step-by-step explanation:

.6(150) = 90  Bella

.3(150) = 45   Dana

.1(150) = 15    Olga

Answer:

First, you did not exactly state what the original price was or maybe that's how the question is worded, but in this scenario the original price of the freezer would be x because they did not tell us.

Step-by-step explanation:

A 20 percent discount is 0.20 in decimal format. For example if the original price was $20, then you would multiply 0.2 by $20 to get $4.00. In this question i would say the original price would be x, so then it would be 0.2x.

Hope this helps:)

Answer:

arithmetic sequence: 24, 42, 66, 90, 114; y = 24x - 30

geometric sequence: -54, 162, -486, 1458, -4374; y = -6(-3)^(x - 1)

Step-by-step explanation:

Arithmetic sequence:

-6, 18, ...

18 - (-6) = 24

18 + 24 = 42

42 + 24 = 66

66 + 24 = 90

90 + 24 = 114

y = -6 + 24(x - 1)

y = -6 + 24x - 24

y = 24x - 30

Geometric sequence:

-6, 18, ...

18/(-6) = -3

18 * (-3) = -54

-54 * (-3) = 162

162 * (-3) = -486

-486 * (-3) = 1458

1458 * (-3) = -4374

y = -6(-3)^(x - 1)

The next 5 terms in the arithmetic sequence are 42, 66, 90, 114, 138.

An arithmetic sequence is a sequence of numbers where the differences between every two consecutive terms is the same. The general form an arithmetic sequence is aₙ=a+(n-1)d.

Given that, the first 2 terms of the sequence -6, 18,....

Here, a=-6 and common difference = 18-(-6) =24

So, the next 5 terms in the arithmetic sequence are

18+24=42, 42+24=66, 66+24=90, 90+24=114, 114+24=138

42, 66, 90, 114, 138

The function is aₙ= -6+(n-1)24

= -6+24n-24

= 24n-30

The next 5 terms in the geometric sequence are

Here, a=-6 and common ratio = 18/(-6) =-3

Now, 18×(-3)=-54, -54×(-3)=162, 162×(-3)=-486, -486×(-3)=1458, 1458×(-3)=-4374

The function is [tex]a_n=-6(-3)^{n-1}[/tex]

Therefore, the next 5 terms in the arithmetic sequence are 42, 66, 90, 114, 138.

To learn more about an arithmetic sequence visit:

https://brainly.com/question/10396151.

#SPJ7

Answer:

1360cm

Step-by-step explanation:

34x40=1360

Answer:

1360[tex]cm^{2}[/tex]

Step-by-step explanation:

Since this is a parelelorgram. We can find the area by mulitlying the base and the height. and so we get....

base x height = 40 x 34 = 1360[tex]cm^{2}[/tex]

first add 25 and 5 and divide 960 by 30

9514 1404 393

Answer:

  9

Step-by-step explanation:

As you know, 4 is between 3 and 10, so the middle definition applies.

  f(4) = 4² -7 = 16 -7

  f(4) = 9

Answer:

x = 36 , 2x = 72 , 3x = 108 , 4x = 144

Step-by-step explanation:

2x = P+Q      (ΔABC, exterior angle property)

4x = R+S       (ΔDBC, exterior angle property)

4x + 2x = P+Q+R+S = (P+R) + (Q+S) = (180 - 3x) + (180 -x)  (supplementary)

6x = 360 - 4x

10x = 360

x = 36

2x = 72

3x = 108

4x = 144

check: sum of interior angles = (180 x 4) - (36+72+108+144) = 360

Answer:

a. p=421−376/376

Step-by-step explanation:

Computation for Which equation shows how to find the percent increase

Percentage increase=421-376/376*100

Percentage increase=45/376*100

Percentage increase=11.968%

Percentage increase=11.97% (Approximately)

Based on the above calculation The equation that will shows how to find the percent increase of the town's population of children from 376-421 during the past year will be:p=421-376/376

9514 1404 393

Answer:

Step-by-step explanation:

A function is a linear function if the slope between any two ordered pairs is the same as it is between any other two. That is, the ordered pairs of a linear function will all fall on the same line when they are graphed.

__

A nonlinear function is one that is not linear. That is, its points do not all fall on the same line when graphed. Slopes between different pairs of points may differ.

_____

Detailed Example

If you are given two tables to compare, it is easiest if the x-values (inputs) are separated by a constant amount. For example, x = -2, 0, 2, 4. These all differ by 2. Then the y-values (outputs) of a linear function will all differ by the same quantity. For example, outputs 10, 15, 20, 25 for the above inputs would correspond to a linear function. This one is y = 2.5x +15.

If the output values for that same set of inputs do not have constant differences, then the function is nonlinear. For example, outputs 10, 15, 21, 27 have differences of 5, 6, 7, so correspond to a nonlinear function. This one happens to be y = (x^2 +22x +120)/8.

__

If the input values are not uniformly spaced, then you can check to see if the slope between one pair of points is the same as the slope for the next pair, and so on. The slope formula is ...

  m = (y2 -y1)/(x2 -x1)

For our first table, the first pair of points (-2, 10) and (0, 15) are on a line with slope ...

  m = (15 -10)/(0 -(-2)) = 5/2

Of course, when the calculations are repetitive, it is convenient to use a spreadsheet or calculator to do them. See the attachment for the calculations for this example.

Step-by-step explanation:

m² -12 = m

m² = m + 12

m = [tex]\sqrt{m + 12\\}[/tex]

Answer:

Undefined

Step-by-step explanation:

If a linear equation is organized in the form x=[a number], we know straight away that this line is a vertical line. This form is actually [tex]x=d[/tex], where [tex]d[/tex] is the x-intercept of the line. Vertical lines do not have a y-intercept because they are parallel to the y-axis.

The slope of vertical lines is undefined.

I hope this helps!

Answer:

x=6

Step-by-step explanation:

I hope it's helpful

Answer:

[tex]\huge\sf\underline\blue{Answer!}[/tex]

[tex] \sf \: 4x - 4 + 112 = 23x - 6 \\ \sf \: 4x + 108 + 6 = 23x \\ \sf \: 114 = 19x \\ \sf \: = x = 6[/tex]

Answer:

The equation should look like c=1.59 times a

Step-by-step explanation:

if it cost 1.59 dollars per pound of apple it is going to be a multiplication problem so then you fill in the blanks, A standing for per pound of apples and C representing total cost

Answer:

x = 5, y = -1

Step-by-step explanation:

2x+3y=7

4x-5y=25

Keep the second equation the same, but change the first equation so you have something to substitute into.

3y= -2x+7

y= -2/3x + 7/3

substitute into second equ.

4x + 10/3x - 35/3 = 25

put the variables on one side, and the numbers on the other.

22/3x = 110/3

divide by 3

22x = 110

x = 5

Substitute x = 5 into the first equation,

10 + 3y = 7

move numbers to one side, and variables to the other.

3y = -3

y = -1

Answer:

x = 5, y = - 1

Step-by-step explanation:

2x + 3y = 7

4x - 5y = 25

In the second equation, solve for y in terms of x:

4x - 5y = 25

- 5y = 25 - 4x

- y = 5 - 4x/5

y = - 5 + 4x/5  Now substitute this for y in equation 2x + 3y = 7

2x + 3(-5 + 4x/5) = 7

2x - 15 + 12x/5 = 7

10x/5 - 15 + 12x/5 = 7

22x/5 = 7 + 15

22x/5 = 22  Now multiply both sides by 5/22 to isolate :

x = 5

Now substitute this value (x = 5) into 4x - 5y = 25 to solve for y:

4(5) - 5y = 25

20 - 5y = 25

- 5y = 5

y = - 1

You can check that these are correct by substituting x = 5 and y = -1  into the above equations to make sure they check out.

Answer:

Step-by-step explanation:

a + c = 17 + 7 = 24.

a - 2c = 17 - 2(7) = 3.

Answer:

Distance between New Delhi and Kota = 388 kilometers

Step-by-step explanation:

Given that:

Average speed of express train = 97 kilometer per hour

Time taken to travel  = 4 hours

Distance between New Delhi and Kota = Speed * Time

Distance = 97 * 4

Distance = 388 kilometers

Hence,

Distance between New Delhi and Kota = 388 kilometers

Answer:

148 minutes

Step-by-step explanation:

It is 3{:}32\text{ p.M.}3:32 p.M.3, colon, 32, start text, space, p, point, m, point, end text and Emma has gymnastics lessons at 6{:}00\text{ p.M.}6:00 p.M.6, colon, 00, start text, space, p, point, m, point, end text How many minutes are there until Emma's gymnastics lessons?\

The time is 3:32 pm

Emma's gymnastics lesson is at 6:00 pm

6:00 pm - 3:32 pm = 2 hours 28 minutes

That is, we have 28 minutes before 4:00 pm

And 2 hours from 4:00 pm to 6:00 pm making a total of 2 hours 28 minutes

How many minutes are there until Emma's gymnastics lessons?

Convert 2 hours 28 minutes to minutes

1 hour = 60 minutes

2 hours = 60 minutes × 2 = 120 minutes

120 minutes + 28 minutes = 148 minutes

2 hours 28 minutes to minutes = 148 minutes