a) 7x^2-7=0
b)x^2-x=0
c)5x-15=0
d)x^2-4x+4=9.(x-2)
e)3(x+3)-x^2-3x=0

Answer:

13.5

Step-by-step explanation:

324/24=13.5

Answer:

x=2

Step-by-step explanation:

2x=5-1

2x=4

x=4/2

simplify 4/2 to 2, x=2

Answer:

B is the answer

The inequality is −

3≤x≤2

Step-by-step explanation:

Answer:

the slope is -8

Step-by-step explanation:

Answer: I think its $58.4

The question is an illustration of permutation and combinations.

The given parameters are:

[tex]\mathbf{n = 7}[/tex]

[tex]\mathbf{r = 4}[/tex]

(a) Choose 4 of 7 paintings

Choosing 4 of 7 paintings implies combination.

So, we have:

[tex]\mathbf{^nC_r = \frac{n!}{(n - r)!r!}}[/tex]

Substitute values for n and r

[tex]\mathbf{^7C_4 = \frac{7!}{(7 - 4)!4!}}[/tex]

[tex]\mathbf{^7C_4 = \frac{7!}{3!4!}}[/tex]

Expand

[tex]\mathbf{^7C_4 = \frac{7 \times 6 \times 5 \times 4!}{3 \times 2 \times 1 \times 4 !}}[/tex]

[tex]\mathbf{^7C_4 = 35}[/tex]

Hence, the number of ways she can choose 4 out of the 7 paintings is 35

(b) Arrange 4 of 7 paintings

Arranging 4 of 7 paintings implies permutation.

So, we have:

[tex]\mathbf{^nP_r = \frac{n!}{(n - r)!}}[/tex]

Substitute values for n and r

[tex]\mathbf{^7P_4 = \frac{7!}{(7 - 4)!}}[/tex]

[tex]\mathbf{^7P_4 = \frac{7!}{3!}}[/tex]

Expand

[tex]\mathbf{^7P_4 = \frac{7 \times 6 \times 5 \times 4 \times 3!}{3!}}[/tex]

[tex]\mathbf{^7P_4 = 840}[/tex]

Hence, the number of ways she can arrange 4 out of the 7 paintings is 840

Read more about permutation and combinations at:

https://brainly.com/question/15301090

Answer:

x ≤ -17

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

4x-20=3x+7

x=27

Answer:

9 Inches

Step-by-step explanation:

1 feet is 0.75 inches

12 feet will be 0.75 * 12 = 9 inches

Therefore,it 9 inches.

Answer:

9 inches

Step-by-step explanation:

12 * 0.75 = 9

Answer: 9

Answer:

1. 10

2. 4, and the bottom row is 21

3. divide the bottom by 4. you get 8

4. top row is 15 and bottom row is missing 6

[tex]\\ \sf\longmapsto C=10\pi mm[/tex]

[tex]\\ \sf\longmapsto 2\pi r=10\pi mm[/tex]

[tex]\\ \sf\longmapsto 2r=10[/tex]

[tex]\\ \sf\longmapsto r=5mm[/tex]

[tex]\\ \sf\longmapsto Volume=V=\pi r^2h[/tex]

[tex]\\ \sf\longmapsto V=\pi (5)^2(4)[/tex]

[tex]\\ \sf\longmapsto V=\pi 25(4)[/tex]

[tex]\\ \sf\longmapsto V=100\pi mm^3[/tex]

volume is 100pi mm³.

In mathematics, volume is the space taken by an object.

Here, given that,

The height of a cylinder is 4 millimeters.=h

The circumference of its base is 10 pi mm​=2r*pi

So, we get,

r=5

Volume =pi*r²*h

             =100pi mm³

Hence volume is 100pi mm³.

To learn more on volume click :

brainly.com/question/1578538

#SPJ2

Answer:

21.875, round as needed.

Step-by-step explanation:

1.75 * 12.5

21.875

You can also round to:

21.88

21.9

22

Just depends on what your teacher is asking

Answer:

48/52

Step-by-step explanation:

The probability of picking up an ace in a 52 deck of cards is 4/52 since there are 4 aces in the deck. The odds of picking up any other card is therefore [tex]52/52 - 4/52 = 48/52.[/tex]

I hope this helps and have a great day!

Answer:

1 x 106

Step-by-step explanation:

200,000,000 divided by 200 is equal to 1,000,000

Answer:

I'm only able to see a black square instead of any image. Could you resend it?

Answer:

48 degrees

Step-by-step explanation:

Answer: 6.8

Step-by-step explanation:

nnxj

Answer: See below

Step-by-step explanation:

A. 2.1       No (2.1>2)

B. -1         Yes

C. 0         Yes

D. -7.5     No (-7.5<-7)

E. 3.5       No (3.5>2)

F. -6.4      Yes

G. -8         No (-8<-7)

Answer:

x=13

Step-by-step explanation:

See attached image. If you have any questions, let me know!

Answer:

13) 29.75

14) P : P

Step-by-step explanation:

13)

4 ------ 17

7 ------ x

4x = 7*17

4x = 119

x = 29.75

14) A square is a square it has all sides the same, so p : p is the ratio

Answer:

2nd option

Step-by-step explanation:

Given x = a is a root of a polynomial function then (x - a) is a factor

Given roots are x = 0, x = - 2, x = 7 , then corresponding factors are

(x - 0) , (x - (- 2) ) , (x - 7) , that is

x , (x + 2) , (x - 7)

The polynomial function f(x) is then the product of the factors, so

f(x) = x(x + 2)(x - 7)

Answer:

Step-by-step explanation:

[tex]\frac{4-(-1)}{3-(-2)}[/tex] =[tex]\frac{5}{5}[/tex]= 1

[tex]26 - ( - 35) \\ = 26 + 35 \\ = 61[/tex]

Reasoning :-

- & - together will give you +

Hey there!

GUIDES FOR YOU TO FOLLOW FOR FUTURE PURPOSES.

Guide #1:

• Double [negatives] equals _positive_

• Double [positives] equals _positive_

• 1 [negative] & 1 [positive] equal(s) _negative_

• 1 [positive] & 1 [negative] equal(s) _negative_

Guide #2:

• Positives are on the RIGHT side of the number line

• Negatives are on the LEFT side of the number line

Guide #3:

• Negatives are BELOW 0

• Positives are ABOVE 0

Guide #4:

• When you’re only working with negatives you go down certain spaces because they are below 0

• When you’re only working with positives you too up certain spaces because they are above zero

And etc.

SOLVING FOR YOUR ANSWER

26 - (-35)

= 26 + 35

= 61

Therefore, your answer should be: 61

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

[tex]\frac{25}{32}[/tex]

Step-by-step explanation:

Rode here on the bus

Now you're one of us

It was magic hour

Counting motorbikes

On the turnpike

One of Eisenhower's

Live your life on a merry-go-round

Who starts a fire just to let it go out?

(dreams tonite lol)

There is a total of 53 Yr 11 students. 18 in math 13 in science making 31 students, leaving 22 Year 11 students for english. 37 total students picked english, so that makes 15 the remaning amount which is put into the Yr12 students.

There are 100 students total. 53 of which are Yr 11 students leaving 47 to be Yr12 students.

12 Yr 12 students chose science, 15 Yr 12 kids chose english, leaving 20 Yr12 students to have chosen math.

12+15+20=47 Yr 12 students.

22+18+13=52 Yr 11 students.

15 Yr 12 students chose english.

20 Yr 12 students chose math.

12 Yr 12 students chose science.

There are 47 Yr 12 students total.

22 Yr 11 students chose english.

18 Yr 11 students chose math.

13 Yr 11 students chose science.

There are 53 Yr 11 students.

To expand the brackets, each term in the first bracket must be multiplied by each term in the second bracket and then simplified:

(x-8) (x-7) = (x × x) - (7 × x) - (8 × x) + (8×7)

               = x² - 7x - 8x + 56

               = x² - 15x + 56

Answer: x^2-15x+56

Step-by-step explanation:

1-Distribute

x(x-7)-8(x-7)

2-Distribute

x^2-7x-8(x-7)

3-Distribute

x^2-7x-8x+56

4-Combine like terms

x^2-15x+56

Answer:

Andy : 13 years old and

Jamie: 36 years old

Step-by-step explanation:

Andy = x

Jamie = 3x - 3

In 5 years:

(X+5)+(3x-3+5) = 59

4x + 7 = 59

4x = 59 - 7

x = 52/4

x = 13

Answer:

17/40

Step-by-step explanation:

4/5-3/8=32/40-15/40

=17/40

Answer:

Solution:

17/40 Alternative form 0.425

Step-by-step explanation:

Explanation how:

Write all numerators above the least common denominator 40

32-15/40

hope to help