factorise the following
a) 5x-x²
b) x²-6x-27
c) x²+x-56
d) x³+8
e) 3x⁴-54t
f) x²+3x-10
g) 2(x⁴+x³-12x²)
h) 20(x³-1)​

Using the confidence interval for sample proportion formula, the C.I is (0.075; 0.081)

Using the relation :

[tex]p ± z_{crit} \sqrt{ \frac{p(1 - p)}{n} } [/tex]

Lower boundary = 0.078 - 0.0026128 = 0.075

Upper boundary = 0.078 + 0.0026128 = 0.081

Hence, the confidence interval is (0.075; 0.081)

Learn more :

C is the correct answer.

Refer to the attachment

Answer:

[tex]\sqrt[2]{225} =15[/tex], [tex]\sqrt[2]{961} =31[/tex], [tex]\sqrt[2]{3969} =69[/tex], [tex]\sqrt[2]{10404} =102[/tex]

Step-by-step explanation:

[tex]\sqrt[2]{225} =\sqrt{15*15}=15[/tex]

[tex]\sqrt[2]{961}=\sqrt{31*31} =31[/tex]

[tex]\sqrt[2]{3969} =\sqrt{69*69} =69[/tex]

[tex]\sqrt[2]{10404} =\sqrt{102*102}=102[/tex]

Answer:

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

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 4, - 3) and (x₂, y₂ ) = (11, 0) ← 2 ordered pairs from the table

m = [tex]\frac{0-(-3)}{11-(-4)}[/tex] = [tex]\frac{0+3}{11+4}[/tex] = [tex]\frac{3}{15}[/tex] = [tex]\frac{1}{5}[/tex]

Cutting in one minute = 105 ÷ 3 = 35 cuts

Now for six machine = 35 × 6 = 210 parts.

So, the option C. 210 parts is correct answer.

As, 20 × 3 = 60 seconds

Parts can be stamped in one minute = 24 × 3 = 72

So, time required [tex] = \frac{4320}{72} \\ = 60 \: minutes[/tex]

So, the option D. 60 minutes is c correct answer

Answer:

y = -2 and x = 4

Step-by-step explanation:

8x + 14y = 4

-6x - 7y = -10

First, find the lowest common multiple of 8 and 6 (which is 24). Multiply the first equation by 3:

8x + 14y = 4

3(8x + 14y) = 3(4)

24x + 42y = 12

Multiply the second equation by 4:

-6x - 7y = -10

4(-6x - 7y) = 4(-10)

-24x - 28y = -40

Now, add the two equations together:

24x + 42y = 12

-24x - 28y = -40

24x + -24x = 0

42y + -28y = 14y

12 + -40 = -28

14y = -28

Divide both sides by 14:

14y ÷ 14 = -28 ÷ 14

y = -2

Plug this known variable back into the first equation:

8x + 14(-2) = 4

8x + (-28) = 4

8x - 28 = 4

Add 28 to both sides:

8x - 28 + 28 = 4 + 28

8x = 32

Divide both sides by 8:

8x ÷ 8 = 32 ÷ 8

x = 4

So y = -2 and x = 4.

Hope this helps!

Answer:

12

Step-by-step explanation:

This can be solved by working backwards.

7 is one more than half the number of invitations.

Subtract 1.  6 is half the number of invitations.

Double.

12 is the full number of invitations.

Algebra (if you must!):

x = number of invitations

x/2 + 1 = 7

Subtract 1.

x/2 = 6

Multiply by 2.

x = 12

Answer:

12

Step-by-step explanation:

7-1=6

6x2=12

Answer:

To multiply decimals, first multiply as if there is no decimal. Next, count the number of digits after the decimal in each factor. Finally, put the same number of digits behind the decimal in the product.

Answers:

R can be either 8, 9 or 10

============================================================

Explanation:

Let's exclude the R value for now.

The set {4,13,5,8,5,11} sorts to {4,5,5,8,11,13}.

Now we'll include R back in. We're told that R is an integer and it's smaller than 11. The possible values R can take on are: {10, 9, 8, 7, ...} The countdown continues forever into the negative territory.

If R < 4, then we go from {4,5,5,8,11,13} to {R,4,5,5,8,11,13}. That R is guaranteed to be the min value since R is less than the smallest value of the previous set. Note that the middle-most item of the second set is 5; however, we want the median to be 8 instead. This allows us to rule out the case that R < 4.

So we've determined that 4 < R < 11. Because R is an integer, we can say it takes on the values from the set {5,6,7,8,9,10}

------------------------------

If R = 5, then {4,5,5,8,11,13} updates to {4,5,5,5,8,11,13} after adding in that R value. We can see the median is 5, so we can rule out the case that R = 5.

Similarly, we can rule out R = 6 as well. The set {4,5,5,8,11,13} updates to {4,5,5,6,8,11,13} in which the median is 6.

If R = 7, then the median is 7 for similar reasoning and we can rule out this R value.

So we've ruled out the cases that R = 5, R = 6 and R = 7.

If we tried R = 8, then {4,5,5,8,11,13} becomes {4,5,5,R,8,11,13} = {4,5,5,8,8,11,13}. This set has a median of 8 and R = 8 is one of the answers.

-------------------------------

Now let's consider the possibility that 8 < R < 11.

If for instance R = 9, then {4,5,5,8,11,13} becomes {4,5,5,8,9,11,13} to show that this set also has a median of 8. R = 9 is another answer.

The same idea happens when R = 10 as well because we get {4,5,5,8,10,11,13}. R = 10 is another answer.

-------------------------------

In short, R can be any of the following values: 8, 9, 10

Answer:

1/10 x 30/10=30/100 then simplify =3/10  

Step-by-step explanation:

Hope I helped please mark brainliest!

Answer:

6 hotdogs

Step-by-step explanation:

:)

Answer:

112°

Step-by-step explanation:

3x+22+2x+8=180

5x+30=180

5x=150

x=30

3x+22

3(30)+22

90+22

112

Step-by-step explanation:

a.

1) if A(2;9) and B(6;17), then it is possible to make up the equation of the required line according

2) the rule:

[tex]\frac{x-X_A}{X_B-X_A} =\frac{y-Y_A}{Y_B-Y_A};[/tex]

3) if to substitute the coordinates of A&B into the rule, then:

[tex]\frac{x-2}{6-2}=\frac{y-9}{17-9}; \ => \ \frac{x-2}{4}=\frac{y-9}{8}; \ => \ \frac{x-2}{1}=\frac{y-9}{2};[/tex]

or 2x-y+5=0 or y=2x+5 (slope-interception form).

P.S. note, the suggested solution is not the shortest one. This task can be solved if to make up the system of two equations in slope-interception form.

b. see the attached picture (the required line is red colour);

c. f(4)=13. Short explanation: if to substitute the coordinate x=4 into the equation y=2x+5, then y=2*4+5=13;

d. the domain is (-∞;+∞), the range is (-∞;+∞).

119.833333333 times it goes into 719 119.833333333 times

Answer:

119 R5

Step-by-step explanation:

we first divide 7 by 6 and we get that it goes in once

so 1__

then after we do 7 - 6 and get a remainder of 1

we drop the 1 next to the other one and get 11

then we divide 11 by 6 and we get that it goes in once

so 11_

then after we do 11 - 6 we get a remainder of 5

we drop the 5 next to the nine and get 59

then we divide 59 by 6 and get 9

so 119

then after we do 59 - 54 and get a remainder of 5

so our answer is 119 R5

Answer:

yes

Step-by-step explanation:

Answer:

2nd one

Step-by-step explanation:

I know this because I learned about this

Answer:

The answer is 26.

Step-by-step explanation:

7 x 4 = 28 so

28 + (-2)=

26

Answer:

26

Step-by-step explanation:

7y+z=

y =4 and z = -2

7(4)+-2

28+-2

26

Hence, the answer is 26.

The careers or hobbies of my family members can help me earn scholarship awards as some employers and associations offer scholarships to participants and family members.

That is, certain hobbies, skills or careers that members of my family have may involve them in certain jobs or groups that, in turn, offer the possibility of accessing scholarships and other benefits.

Thus, social and labor groups always tend to expand the opportunities of those who participate in them, as well as those of their closest people.

Learn more in https://brainly.com/question/9958317

Answer:

3/4

Step-by-step explanation:

Answer:

b. 300 c. 18 d. 30

Step-by-step explanation:

b. 400/4=100, 100*3=300

c.0.3*10=3, 3*6=18

d.0.75*10=7.5, 7.5*4=30

Answer:

B C and D are incorrect

Step-by-step explanation:

1/2 • 13 is 6.5

3/4 • 400 = 300

(0.3)•60 = 18

(0.75) • 40 = 30

Brainliest please

Answer:

g=2

Step-by-step explanation:

5.3g+9=2.3g+15

5.3g-2.3g=15-9

3g=6

g=6÷3

=2

Answer:

g = 2

Step-by-step explanation:

5.3g + 9 = 2.3g + 15

Subtract 2.3g from both sides

3g + 9 = 15

Subtract 9 from both sides

3g = 6

Divide both sides by 3

g = 2

Answer:

The answer is option 4., but this question does not belong in the math section.

Answer:

Line 1 : y = -2x - 5

Line 2 : y = -3x + 3

Step-by-step explanation:

note the slope, and then note the y intercept

Answer:

y = - 2x - 5 and y = - 3x + 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = - 2, - 1) and (x₂, y₂ ) = (0, - 5) ← 2 points on the line

m = [tex]\frac{-5-(-1)}{0-(-2)}[/tex] = [tex]\frac{x- 5+1}{0+2}[/tex] = [tex]\frac{-4}{2}[/tex] = - 2

The line crosses the y- axis at (0, - 5 ) ⇒ c = - 5

y = - 2x - 5 ← equation of line 1

Repeat with (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (1, 0) ← 2 points on line 2

m = [tex]\frac{0-3}{1-0}[/tex] = [tex]\frac{-3}{1}[/tex] = - 3

The line crosses the y- axis at (0, 3 ) ⇒ c = 3

y = - 3x + 3 ← equation of Line 2

Answer:

9 1/4

Step-by-step explanation:

I hope this helps! it should be correct

Answer:

Could you... put it normally?

Step-by-step explanation:

It's kinda confusing to read, so much understand

Answer:

Rate = 100/10 = 10%. ∴ The rate of interest is 10%. ∴ The rate of interest is 10%.

Answer:

See below for answer.

Step-by-step explanation:

BA ≅ BC                         Given

DA  ≅ EC                       Given

BA + DA ≅ BC + EC      Congruent  parts are congruent

BD ≅ BE                        Addition

Decimal form: 7.5

Fraction form: 15/2

Improper fraction: 7  1/2

Hope this is enough! :D

Answer:

You look at the sign between y and 2x

Step-by-step explanation:

To find which way to shade, look at your symbol. The symbol you have is a less than or equal to, you shade to the left. Because it has the line underneath, you have a closed circle. (This is for line plots so I don't know if this completely helps)

Hopefully it does help though!!