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Answer:

Answer:-6x^2 -11x - 3

Step-by-step explanation:

(f.g)(x)=(-2x-3)(3x + 1)

= -6x^2 -11x - 3

Answer:

a⁴ - 81

Step-by-step explanation:

Identity applied :

(a + b)(a - b) = a² - b²

Simplifying :

Answer:

Step-by-step explanation:

[tex]f(x)=g(x) \implies \frac{1}{x+1}=\frac{1}{x^{2}}[/tex]

This means the denominators cannot equal to (because then the fractions would be undefined) so the domain is [tex]x \in \mathbb{R} -\{-1,0\}[/tex]

To multiply 64 × 8.32 use the logarithm equation 2)㏒64 + ㏒8.32

To answer the question, we need to know what logarithm of a number is

The logarithm of a number x is the power to base 10 of that number.

So, logarithm of x to base 10 is written as ㏒x.

Since we want to multiply 64 × 83.2, we convert this to logarithmic equation using the addition rule of logarithm.

㏒ab = ㏒a + ㏒b

So, 64 × 8.32 to logarithm is ㏒(64 × 8.32) = ㏒64 + ㏒8.32

So, to multiply 64 × 8.32 use the logarithm equation 2)㏒64 + ㏒8.32

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Step-by-step explanation:

what is the problem ?

we only need to use the formula that can be found easily on the internet.

the area of a circle is

pi×r²

r being the radius (half of the diameter). in our case :

14/2 = 7 m

and we shall use 22/7 as approximation for pi.

so, we get as circle area

22/7 × 7² = 22 × 7 = 154 m²

Answer:

AC=18

Step-by-step explanation:

Let's look at the smaller triangle first. Side AB is 2.5, side BC is 3.5 and side AC is 4.5. Now, looking at the larger triangle, we see that side AB is 10, side BC is 14 and side AC is unknown.

So, how do we find side AC?

First, let's take a look at the other sides available to us—how about AB? On the smaller triangle, AB=2.5, and on the larger triangle AB=10. So, what's their relation?

Well, let's first divide the two by each other: 10/2.5, of which gets us 4. Now, this in itself gives us answer, but let's just double check to be sure. So, taking side BC on the smaller triangle, 3.5, and on the larger triangle, 14, we then divide the two again. 14/3.5 and- look at that! We get 4 again again.

This tells us that 4 is then our multiplier, so we can write the equation as follows: 4.5 (of which we get from the smaller triangle) *4=?. So, with the equation 4.5*4, we get 18 as our answer for ?, or simply the unknown side "a".

Answer:

Below.

Step-by-step explanation:

Area = base * perpendicular height

= 3 * 5

= 15 square units.

The area of the parallelogram is 15 square units.

Parallelogram is a type of polygon with four sides, four angles and four vertices. It is a type of Quadrilateral.

Opposite sides are parallel, and the opposite sides and opposite angles are equal

Area of a two dimensional shape is the total region which is bounded by the object's shape.

If the base and height is known,

Area of a parallelogram = base × height

Given base = 3

Height = 5

Area = 3 × 5 = 15 square units

Hence the required area of the parallelogram is 15 square units.

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To graph this on a number line, we'll have open holes at -7 and -1. Then shade between those open holes to complete the graph. The open holes tell the reader "do not include the endpoint". The x values span from -7 to -1, excluding both endpoints. Use of filled in holes, or closed endpoints, will signal that we include the endpoint.  

The answer in interval notation is (-7, -1) which unfortunately looks identical to ordered pair notation. The parenthesis tell the reader to exclude the endpoints. If you wanted to include the endpoint, then use a square bracket instead.

Answer:

300 cm cubed or 300 cm^3

Step-by-step explanation:

(b x h ) / 2 = Area of triangle

5 x 12 = 60

60 / 2 = 30

Because it is a prism, the cross-sectional area is the same throughout the prism. Therefore, you just need to multiply the area by the height/width, which is 10cm.

30 x 10 = 300 cm cubedor 300 cm^3

Answer:

1/2BA*2+l*w

1/2*12*5*2+10*13+12*10+10*5

=360cm

Answer:

120

Step-by-step explanation:

Use the counting principle.

6 × 5 × 4 = 120

Answer: 120

Answer:

The answer is MC = 1100. The real answer is 1131 but I have estimated the answer to the nearest hundred.

Step-by-step explanation:

I just added them up to get the real answer. The real answer is 1131 but I have estimated the answer to the nearest hundred.

Answer:

Milena level tro bau bola ehh

Answer:

1.3 < x < 6.7

Step-by-step explanation:

The property of triangles is that the length of the third side must be less than the sum of the lengths of the other 2 sides.

Minimum value : Taking 4.0 to be the 3rd side.

Maximum value : Taking x to be the 3rd side

Range

Answer: 180 minutes

90 miles in 3 hours

Step-by-step explanation:

60 minutes = 1 hour

60 mins/20 mins = 3

60*3 = 180

30 miles per hour for 3 hours is 90 miles

Answer:

27

Step-by-step explanation:

she needs 24 logs to keep the fire for 16 hours(4×6). And for next 2 hours she's gonna need 3. altogether it's 27.

Answer:

1887.97 (3853 * 0.49)

Step-by-step explanation:

3853 * 0.49

√272 is a real number, and the simplified expression of √272 is 4√17

The expression is given as:

√272

Expand

√272 = √16 * 17

Take the square root of 16

√272 = 4√17

Hence, the simplified expression of √272 is 4√17

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Answer:

Step-by-step explanation:

y=

[tex] \frac{k}{x} [/tex]

when x=4 and y = 8

k =xy

k=4×8=32

:- y=

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

when x = 2

y=

[tex] \frac{32}{2} [/tex]

:- y = 16

Answer:

there are 50 orange balls

Step-by-step explanation:

let green balls be x

orange balls be y

green balls = orange balls + 10

x = y+10

orange balls + green balls = 110

x + y = 10

y + 10 + y = 110

2y + 10 = 110

2y = 110 -10

2y = 100

y = 50

thus there 50 orange balls

Answer:

The graph in the attached figure

Step-by-step explanation:

we have the quadratic function

[tex]f(x)=-x^2+5[/tex]

This is a vertical parabola open downward

The vertex is a maximum

Remember that

The equation of a vertical parabola in vertex form is equal to

[tex]y=a(x-h)^2+k[/tex]

where

a is a coefficient

(h,k) is the vertex

In this problem

a=-1

(h,k)=(0,5) ----> vertex

The y-intercept is the point (0,5) ---> value of y when the value of x is equal to zero (is the same point that the vertex)

The x-intercepts are the points  --->values of x when the value of y is equal to zero  

using a graphing tool

The graph in the attached figure

Answer:

A on edge

Step-by-step explanation:

i took the test

Answer:

79.2 yards per minute

Step-by-step explanation:

First you 440 times 0.9. which equals 396. Then you divide the answer by 5 to get 79.2.

Answer:

End Behavior is

y -> -inf as x -> -inf
y -> -inf as x -> +inf

Step-by-step explanation:

I am not sure if your teacher has explained how to look at the equation and determine the end behavior of that function without a graph. Here is a picture that explains it.

Answer:

The answer is 150-3

That is 147

Step-by-step explanation:

Do This

(50 x 3)-(120/40)

150-3

147 is your answer

Answer:

I would think 23°

Step-by-step explanation:

I could be wrong but I would think 23° because if I remember correctly they're congruent.

Equilibrium price is the price at which the quantity demanded equals the quantity supplied. The equilibrium price is $1.12.

Above equilibrium price, quantity supplied would exceed quantity demanded and there would be a surplus. When price is below equilibrium price, quantity supplied would be less quantity demanded and there would be a scarcity.

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Answer:

16,000 pounds hope this helps!

Answer:

1875

Step-by-step explanation:

3x5 = 15

15x 5 = 75

75x 5 = 375

375 x 5 = 1875

1875 because at the end of the next week, which basically turns 8 weeks into 4, and the number of contaminants multiply by 5 each other week.

Answer:

Step-by-step explanation:

You've plotted 3 points where x = 0, 1 and 2

= where y = 1, 1 1/2 and 9/4

They are correct.

I suggest you plot 1 more where x = -1 and another where x = 3

Where x = -1 , y = (3/2)^-1 = 2/3.

x = 3 , y = (3/2)^3 = 27/8 = 3 3/8.