How do you solve g(x)=x^2 - 324

Answer:

12 passengers so four more can travel in the bus.

Step-by-step explanation:

384/8= rs 48 per person.

amount= 576

576/48 = 12 passengers.

Step-by-step explanation:

here

8 passengers=Rs. 384

1 passenger= Rs. 384/8

=Rs. 48

Rs. 576= ? passengers

now,

Rs. 576/ 48

= 12passengers

12 passengers - 8 passengers

= 4 passengers

therefore, 4 more passengers can travel in the bus fare amount to Rs. 576.

Answer:

1) 151.29 | 2) 413 km | 3) 75 cm

Step-by-step explanation:

1) 12.3 x 12.3 = 151.29 in

2) 17.5 x 23.6 = 413 km

3) 15 x 5 = 75 cm

Answer:

75 ft

Step-by-step explanation:

10 * 6 = 60

1/2 * 6 * 5 = 15

60 + 15 = 75 ft

Answer: =15

Step-by-step explanation: Hope this help :)

-63/-7+6

=63/7+6/1

=9/1+6/1

=9+6/1

=15

Answer:

[tex]\sqrt{26}[/tex]

Step-by-step explanation:

Calculate the distance d using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = (- 3, 3) and (x₂, y₂ ) = (2, 2)

d = [tex]\sqrt{(2+3)^2+(2-3)^2}[/tex]

   = [tex]\sqrt{5^2+(-1)^2}[/tex]

   = [tex]\sqrt{25+1}[/tex]

    = [tex]\sqrt{26}[/tex]

Answer:

A. The perimeter of the third triangle will be equal to the perimeter of the second triangle because the lengths of line segments are preserved during translations.

Step-by-step explanation:

When a shape is translated, it simply means it is moved. Nothing about it is being changed besides the location. Therefore, it will have the same perimeter because its sides are the exact same.

I hope this helps! ☺

Answer:

17.96m/s

Step-by-step explanation:

Based on law of conservation of momentum;

m1u1 +m2u2 =(m1+m2)v

v is the velocities of the car after impact

Substitute the given values

1300(20)+900(15) = (1300+900)v

26000 + 13500 = 2200v

39500 = 2200v

v = 39500/2200

v = 17.96m/s

Hence the speed of the cars after impact is 17.96m/s

Answer:

a k (proportionality constant) = 2.5

b. r = 6

Step-by-step explanation:

Here, we want to solve a variation

m = k * r^3

160 = k * 4^3

160 = 64k

k = 160/64

k = 2.5

b) secondly;

From;

540 = 2.5 * r^3

r^3 = 216

r = cube root of 216

r = 6

Answer:

Perimeter = 14 in

Area = 8 in^2

Step-by-step explanation:

Area = 2x2 + 4x1 = 8 in^2

Perimeter = 2+2+2+2+1+4+1 = 14 in

Answer:

The area is 8 square inches and the perimeter is 16 square inches.

Step-by-step explanation:

First, find the area.

We can find the area of the rectangle at the bottom pretty easily. Since half of the length of the bottom rectangle measures 2 inches, the full length would be 4 inches.

4 ⨯ 1 = 4

So, the area of the bottom rectangle is 4 square inches.

For the square on top, all you have to do is multiply 2 ⨯ 2, because there is no missing length we need to find out.

2 ⨯ 2 = 4

Now, we have to add 4 + 4, because the two quadrilaterals are joined together.

4 + 4 = 8

So, the area of the shape is 8 square inches.

Now, let's find the perimeter. We already know that the bottom rectangle's length is 4 inches, and that the sides are 1 inch tall. The square is 2 inches all around, so, no problems there.

Add the side measurements, not including the 2 inches at the bottom of the square because that side is inside the big shape.

2 + 2 + 2 + 4 + 1 + 4 + 1 = 16

So, the perimeter of the shape is 16 inches.

Answer:

-x² - 3

Step-by-step explanation:

If a function is concave down, that means the x value is negative.

Hence we know that it should be -x²

The graph is translated 3 units down

Hence:

-x² - 3

Answer:

98.6%

Step-by-step explanation:

789/800 multiplication 100% then got the answer

Answer:

4:3

Step-by-step explanation:

4 pennies

3 quarters

Answer:

4:3

Step-by-step explanation:

Answer:

77%

Step-by-step explanation:

Answer:

11: 416

Step-by-step explanation:

so the area of the rectangle is 20*16 and you add the triangle's area which is 96. 320+96=416. I am pretty sure that is the answer. ( Sorry if my drawing is bad) :D

Answer:

50

Step-by-step explanation:

all angles must equal to 180

Answer:

its 96 hope this helps!

Step-by-step explanation:

it's  96 because 128-(128/8)=96

9514 1404 393

Explanation:

The work can be done in your head, so there's really nothing to show.

If you want to go into painful detail, you can do this ...

  [tex](2\sqrt{3x})(3\sqrt{6x^2})=(2\sqrt{3x})(3x\sqrt{6})=6x\sqrt{3\cdot6x}\\\\=6x\sqrt{3^2\cdot2x}=6x\cdot3\sqrt{2x}=\boxed{18x\sqrt{2x}}[/tex]

There may be some other intermediate steps you can show, or you can combine steps to the extent you think is appropriate.

Answer:

Step-by-step explanation:

Answer:

516 cm squared

Step-by-step explanation:

To find the surface area of a rectangular prism such as this, is basically just like finding the OUTSIDE surfaces. We are looking for the "perimeter" of a 3D shape.

How do we do it?

Answer:

x = 25

Step-by-step explanation:

A quadrilateral is inscribed in a circle, so it is a cyclic Quadrilateral.

Opposite angles of a cyclic quadrilateral are supplementary.

Therefore,

3x + 21y = 180°.....(1)

2x + 26y = 180°.....(2)

From equations (1) & (2)

3x + 21 y = 2x + 26y

3x - 2y = 26y - 21y

x = 5y

y = 1/5 x

Plug y = 1/5 x in equation (1)

3x + 21*1/5x = 180

15x + 21x = 180*5

(Multiplying both sides by 5)

36x = 900

x = 900/36

x = 25

Answer:

angle SXV

Step-by-step explanation:

Answer:

.

Step-by-step explanation:

A. p:17-12=5

B. q=7/3-2/3=5/3

C. r=90÷ 20=4.5

D. s=7÷1/3=7x 3/1 =21

Answer:

108π

Step-by-step explanation:

1/3 × 9 × π × (6²)

1/3 × 9π6²

(1 × 9π6²) / 3

(6² × 9π) / 3

6² × 3π

36 × 3π

108π

Answer:

Each friend uses 3/4 of a stick of butter

Answer:2 times 5 equals 10

Step-by-step explanation:

"The factors of 10 are 1, 2, 5, and 10. You can also look at this the other way around: if you can multiply two whole numbers to create a third number, those two numbers are factors of the third. 2 x 5 = 10, so 2 and 5 are factors of 10." From ww.infoplease.com great resource

The required factor of 10 in 10 of the third power is 3.

A number or algebraic expression that evenly divides another number or expression—i.e., leaves no remainder—is referred to as a factor.

Here,

10 of the third power = 10³
10³ = 10×10×10
The expression 10×10×10 has 3, 10's

Thus, the required factor of 10 in 10 of the third power is 3.

Learn more about Factors here:

https://brainly.com/question/24182713

#SPJ5

Answer:

The equation to be used is 4/8 × 8/12=1/3

MIGHT BE WRONG BUT I THINK ITS 5.742Step-by-step explanation:

Answer:

r ≥ -49/11

Simplified versions: r ≥ -4.45 or r ≥ -4 5/11

Answer:  [tex]r \ge -\frac{49}{11}[/tex]

r is greater than or equal to the fraction -49/11

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

Work Shown:

[tex]r + 5(-2r-10) \le -4r - 1 + 6r\\\\r - 10r - 50 \le -4r - 1 + 6r\\\\-9r - 50 \le 2r - 1\\\\-9r-2r \le - 1 + 50\\\\-11r \le 49\\\\r \ge \frac{49}{-11}\\\\r \ge -\frac{49}{11}\\\\[/tex]

Note how the inequality sign flips. This happens any time you divide both sides by a negative number.