Giải các phương trình sau
√3x-√3=√3

Answer:

x²+5x-14

Step-by-step explanation:

For this equation, you want to use FOIL (multiply first terms, then outside terms, then inside terms, then last terms) to expand the brackets.

This gives x×x+x×-2+x×7+7×-2, which simplifies to x²-2x+7x-14, and further to x²+5x-14.

**This content involves expanding quadratics with FOIL, which you may wish to revise. I'm always happy to help!

Given:

The table of values of the function f(x).

To find:

How much greater is the average rate of change over the interval [5, 7] than the interval [2, 4]?

Solution:

The average rate of change of a function f(x) over the interval [a,b] is:

[tex]m=\dfrac{f(b)-f(a)}{b-a}[/tex]

The average rate of change over the interval [5, 7] is:

[tex]m_1=\dfrac{f(7)-f(5)}{7-5}[/tex]

[tex]m_1=\dfrac{5002-3452}{2}[/tex]

[tex]m_1=\dfrac{1550}{2}[/tex]

[tex]m_1=775[/tex]

The average rate of change over the interval [2,4] is:

[tex]m_2=\dfrac{f(4)-f(2)}{4-2}[/tex]

[tex]m_2=\dfrac{1048-230}{2}[/tex]

[tex]m_2=\dfrac{818}{2}[/tex]

[tex]m_2=409[/tex]

The difference between the average rate of change over the interval [5, 7] and the interval [2, 4] is:

[tex]Difference=m_1-m_2[/tex]

[tex]Difference=775-409[/tex]

[tex]Difference=366[/tex]

Therefore, the average rate of change over the interval [5, 7] is 366 more than the interval [2, 4].

Answer:

366

Step-by-step explanation:

I took the test lol

Answer:

[tex]4^{13}[/tex]

Step-by-step explanation:

[tex]4^{13}[/tex]

Hope this helps!

Answer:

Next three terms 0.28, 0.41 and 0.54

The formula for the nth term of an AP is a+(n-1)d

Answer:

opp/adj

havent u pay attention in ur math class?

you will have to find the opp using a^2+b^2+c^2

Step-by-step explanation:

I hope this is help full to you

Answer:

2/3

Step-by-step explanation:

Gradient of line

= (y1-y2) /(x1-x2)

= (3-(-1))/(4-(-2))

= (3+1)/(4+2)

= 4/6

= 2/3

Answer:

The answer is B!!!!!!!!!!!!

Answer:

9656.06 meters

Step-by-step explanation:

Answer: hello your question is poorly written attached below is the complete question

answer :

a) 31.5

b) 24.5

Step-by-step explanation:

Total world output of good given ( Q ) = qA + qB

world demand ( P ) = 100 - Q

cost function for country A = cA (qA) = 8qA

cost function of country B = cB(qB) = 3qB

total world emission = 0.5Q

emission per unit good = 0.5

a) Determine total world emissions when both countries compete in a Cournot fashion

Q = 63

therefore Total world emission = 0.5 ( Q )

                                                    = 0.5 ( 63 ) = 31.5

attached below is the detailed solution

b) Determine the total world emissions after Country A enacts a carbon tax

Q = 49

Therefore Total world emission after tax = 0.5 ( Q )

                                                                    = 0.5 ( 49 ) = 24.5

attached below is the detailed solution

Answer:

see below

Step-by-step explanation:

Part A:  (72)^x = 1

Take the log base 72 of each side

log72(72^x) = log 72(1)

We know log a^b = b log a

x log72(72) = log72(1)

x =  log72(1)

x = 0

Part A:  (70)^x = 1

Take the log base 70 of each side

log70(70^x) = log70(1)

We know log a^b = b log a

x log70(70) = log70(1)

x =  log70(1)

x = 0

Answer:

133 answer ---------------------------------------- helpful answer

Answer and Step-by-step explanation:

[tex]\frac{3}{t}[/tex] + 5

Above is the answer.

#teamtrees #PAW (Plant And Water)

Answer:

The quadrilaterals ABCD and A'B'C'D' are congruent only if k = 1.

The corresponding side lengths are related by k(CB) = C'B'.

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.

Dilation is the increase or decrease in size of a figure by a factor k. If k > 1, the figure is increased, if k < 1, the figure is reduced and if k = 1, the figure does not changes shape. The image of an dilated figure is similar to the original image.

a) If k = 1, then the resulting image produced by dilating ABCD is congruent. Hence, The quadrilaterals ABCD and A'B'C'D' are congruent only if k = 1.

b) Dilation produce image similar to the original figure, hence quadrilaterals ABCD and A'B'C'D' are similar only if k ≥ 1 and k < 1.

c) Since ABCD is dilated by a factor of k to produce A'B'C'D', hence A'B' = k(AB).

d) C'B' = k(CB)

Answer:

C

Step-by-step explanation:

Zscore = - 0.18 ; Z = 1.23

To find the percentage :

P(Z< 1.23) - P(Z < - 0.18)

Using the Z probability calculator :

P(Z < - 0.18) = 0.42858

P(Z < 1.23) = 0.89065

0.89065 - 0.42858

= 0.46207

= 46.2%

Answer:

A; 120 cubic inches

Step-by-step explanation:

Let us start with the formula of the volume of a rectangular prism,[tex]V=l*w*h[/tex], where l represents the length of the prism, w represents the width of the prism, and h represents the height of the prism. It is given to us that h =5 inches, w =3 inches, and l =8 inches. Let's plug the values in:

[tex]V= 8*3*5\\V=120[/tex]

A. The volume of the rectangular prism is 120 cubic inches.

I hope this helps! Let me know if you have any questions :)

Hope this help!!!

Have a nice day!!!

Answer:

B

Step-by-step explanation:

792 is a bigger number than 456

Answer: B

Step-by-step explanation: 792 is larger than 456

Answer:

51

Step-by-step explanation:

ascending order. 38,41,42,47,48,51,72,74,74,77,129. n/2= 12/2= 6 +1= 7 median 51

Answer:

B. 80°

Step-by-step explanation:

55+45=100

180-100=80

Q=80°

Answer:

7.8 feet

Step-by-step explanation:

We can determine the Horizontal distance using trigonometry ;

Using the relation :

Cosθ = adjacent / hypotenus

Cos 61 = x / 16

x = cos 61 * 16

x = 0.4848096 * 16

x = 7.756

x = 7. 8 feet

Answer:

tn = 8n -7

Step-by-step explanation:

given : t2=9, t4=25

the formula is:

tn = t1 + (n-1) d

gonna find d first:

d = (25-9) /(4-2) = 16/2 = 8

and find tn1:

t1 = 9-8 = 1

so, tn = 1 + (n-1) (8) = 1 +8n -8

tn = 8n -7

Answer:

Solution given

n th term[tn]=?

1st term =a

difference =d

we have

t2=9

a+(n-1)d=9

a+(2-1)d=9

a+d=9

a=9-d..................[1]

again

t4=25

a+(n-1)d=25

a+(4-1)d=25

now

substituting value of a

9-d+3d=25

2d=25-9

d=16/2

d=8

substituting value of d in equation 1.

,a=9-8

a=1

we have

tn term =a+(n-1)d=1+(n-1)8=1+8n-8=8n-7

n th term =8n-7

Answer:

The answer is 5 units.

Step-by-step explanation:

I just counted the squares

Answer:

2.4

Step-by-step explanation:

i saw the answeres

Answer:

Yes, you can use cross products to solve for x in this proportion. Also, x is 360.

Step-by-step explanation:

Yes, you can use cross products to solve for x in that proportion.

Here's how you do it :

[tex]\frac{18}{5} = \frac{x}{100}[/tex]

We cross product, getting :

18 * 100 = 5 * x

1800 = 5x

Divide by 5 on both sides to get x by itself.

360 = x

Yes, you can use cross products to solve for x in this proportion. Also, x is 360.

Hope this helps, please mark brainliest if possible. Have a great day.

Step-by-step explanation:

P = 5x+2y

P = 5(3)+2(5) = 15+10 = 25 meters

x = 3/25 ×32 = 96/25 = 3.84 meters

y = 5/25 × 32 = 6.4 meters

P = 5x+2y

P = 5(3)+2(5) = 15+10 = 25 meters

x = 3/25 ×32 = 96/25 = 3.84 meters

y = 5/25 × 32 = 6.4 meters

Answer:

75.6

Step-by-step explanation

HOPE I HELPED ;)