(h º g º f)(x)?

2x3 + 1
8x3 + 9x + 1
8x3 + 12x2 + 6x + 1
8x3 + 24x2 + 24x + 8

Answer:

4x + 28

Step-by-step explanation:

Here, what you need to do is multiply 4 by x, and then 4 by 7. It's really just the distributive property doing its work.

4(x + 7)

(4 * x) + (4 * 7)

4x + 28 is the new expression.

Answer:

SR = 17.56

Step-by-step explanation:

Formula = PR * RT = SR * RQ

60 * (4x - 26) = 38 * (2x - 1)

Solve for x

240x - 1560 = 76x - 38

164x = 1522

x = 9.28

Solve for SR

2x - 1

2(9.28) - 1

SR = 17.56

The value of the variable 'x' is 29. Then the length of the side SR will be 57 units.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180 °.

The ratio of the matching sides will remain constant if two triangles are comparable to one another.

The triangle ΔPQR is similar to the triangle ΔTSR. Then the ratio of the corresponding side will be constant.

SR / RQ = RT / PR

(2x - 1) / 38 = (4x - 26) / 60

(2x - 1) / 19 = (2x - 13) / 15

19(2x - 13) = 15(2x - 1)

Simplify the equation further, then we have

38x - 247 = 30x - 15

38x - 30x = 247 - 15

8x = 232

x = 232 / 8

x = 29

Then the length of the side SR will be given as,

SR = 2(29) - 1

SR = 58 - 1

SR = 57

The value of the variable 'x' is 29. Then the length of the side SR will be 57 units.

More about the triangle link is given below.

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Answer:

The width should be more than 5 m. So it can be  6,7 ...

Step-by-step explanation:

The length of a flower garden is = 9 m

The width of a flower garden is   = w

The area of a flower garden > 45 sq. m

The area of a flower garden  = l * b

l * b > 45

9 * b > 45

the width should be more than 5 m. So it can be  6,7 ...

Answer:

5) B. -6

6) A. 2/3

Step-by-step explanation:

take two points (3, 2) and (12, 8) and use the equation y2- y1 / x2 - x1 to find the slope

(8-2) / (12-3)

6/9 simplified to 2/3

Step-by-step explanation:

Let E be the event of drawing a disc from the box of discs numbered from 1 to 90

Two digit numbers from 1 to 90=10,11,12,.....,90

No. of favorable outcomes=81

Total no. of possible outcomes =90

We know that, Probability P(E) =(Total no.of possible outcomes)(No.of favorable outcomes)=9081=109

Therefore, the probability of a two digit numbered disc from the box of discs numbered from 1 to 90=109

hope it helps !

Answer: 12:30 p.m

Step-by-step explanation:

h=hours

97.5=60+12.5h

12.5h=37.5

h=3

9:30 a.m.+h=

9:30 a.m.+ 3=12:30 p.m

Answer:

fifty seven

Step-by-step explanation:

Answer:

Q' is at 0, 1.

J' is at 5, 3.

H' is at 3, 5.

Step-by-step explanation:

Whoopsiedaisy nearly botched it up

Answer:

Step-by-step explanation:

Answer:

The same sign that the integers have

Step-by-step explanation:

When 3 positive numbers are multiplied together, the product will be positive. In fact, when any number of positive numbers are multiplied together, the product will always be positive.

Examples: 5*7*14=490

1*2*3*4*5*6*7=5040

When 3 negative numbers are multiplied together, the product will be negative. Two negatives make a positive and a negative and a positive will make a negative. Because the product of the first two numbers will be positive, the final product will be negative.

Examples:

(-9)(-2)(-5)

Two negatives make a positive

= 18(-5)

A negative and a positive make a negative

= -90

I hope this helps! Please comment if you have any questions :)

Answer: 175 adult and 50 children

Step-by-step explanation:

1x+2y=400

x+y=225

subtract x

y=225-x

substitute for y in first set

1x+2(225-x)=400

1x+450-2x=400

450-x=400

-x=-50

x=50

substitute for second set

50+y=225

y=175

Answer:

x = 19

m<R = 17°

Step-by-step explanation:

PQR is a triangle and the sum of interior angles in a triangle is equal to 180°

m<P + m<Q + m<R = 180°

4x - 14 + 5x + 6 + x - 2 = 180° add like terms

10x - 10 = 180 add 10 from both sides

10x = 190 divide both sides by 10

x = 19

angle R is x - 2 so if we replace x with the value we found

m<R = 19 - 2 = 17°

Answer:

X = -1 or X = -3.5

Step-by-step explanation:

2x^2 + 9x + 7 = 0

ac = 14

b = 9

find a two numbers which when you multiply you get 14 and add you get 9.

so it will 2 and 7. (they replace b which is 9x)

therefore: 2x^2 + 2x + 7x + 7 = 0

find common factors using each 2 from the four.

2x( x + 1) + 7 (x+1) = 0

so it will be (2x + 7) (x+1) = 0

find x,

i) 2x +7 = 0

x= -3.5

ii) x + 1 = 0

x = -1

Answer:

there are 202.884 fluid ounces in 6 liters

Step-by-step explanation:

your mom wants you to drink a lot of water

Answer: I am assuming its telling me to see where it is placed at so it would be (5,7).

I not for sure but I am pretty sure!

Good Luck!

the greatest common factor is 4

Answer: 8.75

Step-by-step explanation:

Let walking rate = x

Riding rate = x + 10

Time taken to ride 30km = time taken to walk 14 km

Time = distance / speed

Hence,

30/ (x + 10) = 14 / x

Cross multiply :

30x = 14( x + 10)

30x = 14x + 140

30x - 14x = 140

16x = 140

x = 140 / 16

x = 8.75

Walking rate = 8.75 kph

Answer:

55% of the number 35 is 19.25.

Hope this helps!

Answer:

≈4715.56

Step-by-step explanation:

The value of the quantity after one day to the nearest hundredth will be 4715.56.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Given that:-

The expression for the final value will be:-

Final quantity = 5500( 0.95 )³

Final quantity = 4715.56

Therefore the value of the quantity after one day to the nearest hundredth will be 4715.56.

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Answer:

x = 2

Step-by-step explanation:

x/6 + 1 = 2x - 8/3 (first you want to multiply by 6 on both sides to get rid of x/6)

x + 6 = 12x - 16 (add 16 on both sides)

x + 22 = 12x (subtract x on both sides)

22 = 11x (divide by 11 on both sides)

2 = x

Hope this helps ya!!

Hence , the poster will lie flat in the box as the area of box is much greater than the area of poster .

It is given that area of square framed poster = 9 sq. feet and volume of cube shaped box = 30 cubic feet.

Using volume formula , we get

      a³ =  12

      a = ∛12

      a = 2.28 feet

Putting a = 2√3 in equation (1) , we get area of cube

    6 (2.28)² = 6 × 5.19

                   = 31.19 square feet

Since the cube box is giant enough in order that the poster can lie flat within the box.

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Answer:

diameter

Step-by-step explanation:

that's the answer i think

Answer:

16 feet

Step-by-step explanation:

This ladder and building creates a right triangle with 34 as the hypotenuse and 30 as a side. the Pythagorean theorem says that a^2 + b^2 = c^2 so 900 + b^2 = 1156. b^2 = 256, square root both sides and you get b = 16

Answer:

16 feet

Step-by-step explanation:

use Pythagorean theorem

a^2 + b^2 = c^2

a^2 + 30^2 = 34^2

a^2 + 900 = 1156

move 900 to the right to leave the a variable by itself

a^2 = 256

take the square root of both sides

a = 16

The probability that a perfect square is chosen is 0.08;

P represents the likelihood of selecting the number 'n' such that n>50. There are exactly 7 perfect squares less than 50. Therefore, there is a 7/50 chance of having a perfect square that is less than or equal to 50.

The likelihood of selecting the number "n" such that n>50 is also given as 3p. From 50 to 100, there are precisely 3 perfect squares. Therefore, there is a 3/50 chance of having a perfect square that is higher than 50 and less than or equal to 100.

The chance of selecting any number between "1" and "100" is p+3p=4p.

The probability that the chosen number is a perfect square and less than or equal to 50 is p × 7/50;

The odds that the selected number is larger than 50 but not higher than 100 and a perfect square are 3p × 3/50;

Consequently, the likelihood that any selected number is a perfect square is (p×7/50+3p×3/50)÷4p

If we simplify, we have 0.08.

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Answer:

C, E

Step-by-step explanation:

it is