Which of the following represents the sum of
(x2 - 7x + 6) + (x2 + 6x)
Ox? - x + 6
2x2 - 7x + 12
1 2x² - x + 6
x2 - 7x + 12

Answer:

Step-by-step explanation:

5f+4f-8=19

=> 9f = 19 + 8

=> 9f = 27

[tex] = > f = \frac{27}{9} [/tex]

=> f = 3 (Ans)

Answer:

[tex] \frac{x + 2}{3} [/tex]

Step-by-step explanation:

Replace y with f(x).

[tex]y = 3x - 2[/tex]

Swap x and y and solve for y

[tex]x = 3y - 2[/tex]

[tex]x + 2 = 3y[/tex]

[tex] \frac{x + 2}{3} = y[/tex]

Answer:

Soln:

Total ages = 175

No. of ages= 6

Now,

Average age= Total ages/no. of ages

= 175/6

= 29.167 ans.

Answer:

area= 604 cm^2

perimeter=376 cm

Step-by-step explanation:

radius(r)=28/2

            =14 cm

area of the semicircle=2[tex]\pi[/tex]r*theta /360

                                   =2*22/7*14*180/360

                                   =44cm^2

area of the rectangle=l*b

                                  =28*20

                                  =560 cm^2

total area=semicircle area+rectangle area

                =560+44

               =604 cm^2

arc length=[tex]\pi[/tex][tex]r^{2}[/tex]*theta/360

                =22/7*14*14*180/360

                =308cm^2

perimeter=28+20+308+20

                =376 cm

Hope this helps you.

Answer:

why should the government provides security to it's people

Answer: 2205

Step-by-step explanation:

From the prime factorisation of 525 we get

525 = 3×5×5×7

We have to make sure that all the factors are in cube form

To do that we have to add 3×3×5×7×7 to the factors

We get

525 = 3×3×3×5×5×5×7×7×7

So the 3×3×5×7×7 gives us the smallet value of k, which is 2205

And 525×2205 gives us 1157625 which is a perfect cube.

Answer:

12 in Mathematics and 16 in Science

Step-by-step explanation:

12+16=28

12+3=15 and 16-4=12

15*12=180

Answer:

He got 12 marks in mathematics and 16 in science.  

Step-by-step explanation:

M + S = 28, (M + 3)(S - 4) = 180.

(M + 3)(S - 4) = MS - 4M + 3S - 12 = 180

MS - 4M + 3S - 12 = 180

MS - 4M + 3S = 192

M + S = 28

S = 28 - M

M(28 - M) - 4M + 3(28 - M) = 192

28M - [tex]M^{2}[/tex] - 4M + 84 - 3M = 192

-[tex]M^{2}[/tex] + 21M = 108

-[tex]M^{2}[/tex] + 21M - 108 = 0

(-M + 9)(M - 12) = 0

M = -9, 12

S = 37, 16

1st solution:

(-9 + 3)(37 - 4) = 180

-6 * 33 = 180

-198 = 180

2nd solution:

(12 + 3)(16 - 4) = 180

15 * 12 = 180

180 = 180

Therefore, M = 12 and S = 16.

Answer:

Step-by-step explanation:

A century has 100 years in it. months only has a max of 31 dates. The following years are perfect squares, 01,04,09,16,25,36,49 64,81,100

It will be 10 square root dates.

Answer:

d=126 (m)

Step-by-step explanation:

Let say:

d the distance from the bottom to the top

t1 the time used for running up

t2 the time for running down

[tex]\left\{\begin{array}{ccc}d&=&3*t_1\\d&=&7*t_2\\t_1+t_2&=&60\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}d&=&3*t_1\\t_2&=&\dfrac{3}{7} t_1\\t_1+\dfrac{3}{7} t_1&=&60\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}t_1&=&\dfrac{60*7}{10}=42 \\\\t_2&=&\dfrac{3*42}{7}=18\\\\d&=&3*42=126\\\end{array}\right.\\[/tex]

The point at which lines, planes and points meet is referred to as the point of intersection or simply intersection.

The intersection of TV and US, US and plane R & TU and UV is point U

From the attached figure, we have the following observations

1. Line segments TV and US intersects at point U.

This means that the intersection of TV and US is point U

2. Line segment US and plane R intersects at point U

This means that the intersection of US and plane R is point U

3. Line segments TU and UV intersects at point U

This means that the intersection of TU and UV is point U

Hence, the name of the three intersections is point U

Read more about lines and planes at:

https://brainly.com/question/13081016

Answer:

69

Step-by-step explanation:

6+64-1

=69

............

Answer:

C: negatively skewed class

Answer:

-6d -15

Step-by-step explanation:

-3(2d + 5)

Distribute

-3 *2d -3*5

-6d -15

Answer:

x is 130 degrees. y is 80 degrees.

Step-by-step explanation:

Step-by-step explanation:

since ABCD is a Rhombus, x = 180-50 = 130°

y = 180-(50+50)= 80°

Answer:

Sea level.

Step-by-step explanation:

[tex]\boxed{\underline{\bf \: ANSWER}}[/tex]

[tex] \sf\large -45\div9-\left(-5\right) \\ = \sf - 5 - ( - 5) \\ \sf= - 5 + 5 \\ \sf = 5 - 5 \\ = \boxed{\bf 0}[/tex]

-> The answer will be 0.

______

Hope it helps.

гคเภ๒๏ฬรคlt2²2²

−45÷9−(−5)

=−5−(−5)

=−5+5

=5−5

= 0

-> The answer will be 0.

#Keeplearning

Answer:

t = Gx + a

Step-by-step explanation:

G = t - a/x             (Given)

G(x) = (t - a/x)x     (Multiply x on both sides)

Gx = t - a              (Simplify)

Gx + a = t - a + a  (Add a on both sides)

Gx + a = t             (Simplify)

Answer:

[tex](g\circ f)(-4) = 32[/tex]

Step-by-step explanation:

We are given the two functions:

[tex]f(x) = -2x - 3\text{ and } g(x) = 2x^2 - 2x - 8[/tex]

And we want to find the value of:

[tex](g\circ f)(-4)[/tex]

Recall that this is equivalent to:

[tex]\displaystyle = g(f(-4))[/tex]

Find f(-4):

[tex]\displaystyle \begin{aligned}f(-4) &= -2(-4) - 3 \\ &= 5 \end{aligned}[/tex]

Hence:

[tex]g(f(-4)) = g(5)[/tex]

Finally, find g(5):

[tex]\displaystyle \begin{aligned}g(5)& = 2(5)^2 - 2(5) - 8 \\ &= 32 \end{aligned}[/tex]

In conclusion:

[tex](g\circ f)(-4) = 32[/tex]

Answer:

50

Step-by-step explanation:

4x+16=x+166

-x        -x

3x+16=166

    -16  -16

       3x=150

     /3     /3

       x=50

Answer :

• 50

Step-by-step explanation:

Answer:

7 kilometers per litre

Step-by-step explanation:

Take the distance and divide by the number of litres

28 kilometers/ 4 litres

7 kilometers per litre

Marcus will have [tex]1\frac{7}{8}[/tex] feet as left-over.

It is important we understand that foot refers to single unit of measurement while feet is the plural of foot.

Marcus needs to tie two bows for birthday gifts and he has an 8-foot roll of ribbon.

• He uses 3 3/8 (27/8 as a fraction) feet of ribbon for Crystal's gift.

• He uses 2 3/4 (11/4 as a fraction) feet for Tim's gift.

The left-over computation is as follows:

= [tex]8 - \frac{27}{8} - \frac{11}4}[/tex]

= [tex]\frac{256-108-88}{32}[/tex]

= [tex]\frac{60}{32}[/tex]

= [tex]\frac{15}{8}[/tex] or [tex]1\frac{7}{8}[/tex] feet

Marcus will have [tex]1\frac{7}{8}[/tex] feet as left-over.

See related question here brainly.com/question/14702678

Answer:

rational number

Step-by-step explanation:

a whole number is a non-negative integer, a natural number is a positive integer, an integer is any number that doesn't have decimal places and isn't a fraction. 7/8 isn't an integer so it isn't a whole or natural number. rational numbers can be written as fractions or are terminating decimals. 7/8 is a fraction so 7/8 is a rational number

Answer:

[tex]\huge\boxed{\sf 2\frac{1}{12} }[/tex]

Step-by-step explanation:

[tex]\displaystyle = 3\frac{1}{3} - 1\frac{1}{4} \\\\= \frac{3\times3+1}{3} - \frac{4\times1+1}{4} \\\\= \frac{10}{3} - \frac{5}{4} \\\\= \frac{10\times4}{3\times4} - \frac{5\times3}{4\times3} \\\\= \frac{40}{12} - \frac{15}{12} \\\\= \frac{40-15}{12} \\\\= \frac{25}{12} \\\\= 2\frac{1}{12} \\\\\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

2 1/12

Step-by-step explanation:

3 1/3 - 1 1/4

Get a common denominator

3 1/3 *4/4 = 3 4/12

1 1/4 *3/3 = 1  3/12

Subtract

3 4/12 - 1 3/12

2 1/12

Answer:

Below

Step-by-step explanation:

1. To find the percentage of a number you would need to multiply it by 0. whatever the percent. In this case we are given the percentage and the tip amount, so we can find the original cost of the ride like this :

     2 = 0.2 (x)

Multiply both sides by 10

     20 = 2x

Divide both sides by 2

     10 = x

The original cost of the ride was $10  

2. For this one we already know the cost of the 3 bananas so all we need to find is the cost of 4 oranges

     Each orange = $3.00 / 5

                            = $0.6

For 4 oranges, it would be 0.6 x 4 = $2.4

Adding the price of 4 oranges and 3 bananas together....

    2.4 + 1.5 = $3.9

The total cost of buying 3 bananas and 4 oranges is $3.9

Hope that helps! Best of luck <3

Answer:

use the two minute rule. you tell yourself you will study for two minutes or ten minutes and then if you're in a flow you keep going. hope this helps :)

Answer:

-4

Step-by-step explanation:

you would subtract m from both sides to get -4=m

Answer:

blue ball is zero, red ball is 1-0.38=0.62

Step-by-step explanation:

1. no blue balls

2. probabilities have to add to 100%