Which of these expressions is equivalent to log ( 15 x 24 )

Answer:

the answer should be the third one

Step-by-step explanation:

Answer:

this is a function

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

[tex]\sqrt[4]{(7)(7)(7)(7)}[/tex] = [tex]\sqrt[4]{2401}[/tex] = 7

You can just multiply the radicands together since they're all 4th roots.

Since we have a unique value of x and y, it shows that the system of the equation is consistent and independent.

Given the system of equation expressed as:

3x + y = 3

x - 2y = 4

Solve simultaneosly;

3x + y = 3 ............. 1 * 1

x - 2y = 4 ...............2 * 3

_________________________

3x + y = 3

3x - 6y = 12

Subtract

y-(6y) = 3 - 12

7y = -9

y = -9/7

Substitute y = -9/7 into the equation to get x

x - 2y = 4

x - 2(-9/7) = 4

x + 18/7 = 4

x = 4 -  18/7

x = 3/7

Since we have a unique value of x and y, it shows that the system of the equation is consistent and independent.

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Answer:

the answer is 140

........

Answer:

43°

(4x + 19)° = (6x + 7)° [vertically opposite angles are equal]

4x+19 = 6x+7

4x + 19 -7 = 6x

4x +12 = 6x

12 = 6x - 4x

12 = 2x

2x = 12

x = 12/2

x = 6

Now replace the x with 6

(4x+19)°

= (4×6+19)°

= (24+19)°

= 43°

(6x+7)°

= (6×6+7)°

= (36+7)°

= 43°

The measure of the angles is 43 degrees

Answer:

45

Step-by-step explanation:

Because GH=GI

so H=I=45

Answer:

[tex]c = 45[/tex]

Step-by-step explanation:

[tex]Isosceles \: Right \: Tringle[/tex]

[tex]∠c=∠GIH[/tex]

[tex]180-90=90[/tex]

[tex]c = \frac{90}{2} [/tex]

[tex]c = 45[/tex]

Answer: Im gonna take you down like a sweet muffin.

The number of escapes, takedowns and nearfalls Anahi have is 6, 24 and 70 respectively.

escape is worth 1 point,

a takedown is worth 2 points, and

a nearfall is worth 3 points.

escape = x

takedown = y

nearfall = z

x + y + z = 100. (1)

x + 2y + 3z = 240. (2)

y = 4x. (3)

substitute (3) into both equation

x + 4x + z = 100

x + 8x + 3z = 240

5x + z = 100. (4)

9x + 3z = 240. (5)

Multiply (4) by 3

15x + 3z = 300 (6)

9x + 3z = 240. (5)

Subtract (5) from (6) to eliminate z

6x = 60

x = 60/6

x = 6

Substitute into (3)

y = 4x

y = 4(6)

y = 24

Therefore, from (1)

x + y + z = 100.

6 + 24 + z = 100

30 + z = 100

z = 100 - 30

z = 70

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Answer:

-150

Cause right now it's negative I think

Yes

Answer:

x > -3.4

Step-by-step explanation:

1 < (x + 5.5) / 2

first multiply each side by 2

2 < x + 5.5

Then subtract 5.5 from each side

-3.4 < x

x has to be on the left so you switch the hole equation around to get

x > -3.4

Answer:

Hii, I believe your answer would be $3,360

Hope this helps!

Step-by-step explanation:

Answer:

The answer is 59.40

Step-by-step explanation:

noice

reeeeeeeeeeeeeeeeee

Answer:

23 + 2x

Have a GOOD DAY!

Answer:

See below

Step-by-step explanation:

f(x) = -2x + 2

Put x = 1

f(1) = -2(1) + 2

f(1) = -2 + 2

f(1) = 0

Put x = 0

f(0) = -2(0) + 2

f(0) = 2

Put x = -1

f(-1) = -2(-1) + 2

f(-1) = +2 + 2

f(-1) = 4

Put x = 2

f(2) = -2(2) + 2

f(2) = -4 + 2

f(2) = -2

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

1/4

Step-by-step explanation:

If you divide 3/4 by 3, you get 1/4 (0.75 / 3 = 0.25)

Step-by-step explanation:

5 − 3x = −7

=> 5 + 7 = 3x

=> 12 = 3x

[tex] = > x = \frac{12}{3} [/tex]

=> x = 4 (Ans)

Given :

⠀

To Find :

⠀

Solution :

[tex]\qquad \sf \: { \dashrightarrow 5 - 3x = - 7}[/tex]

⠀

Adding (–5) to both sides :

[tex]\qquad \sf \: { \dashrightarrow 5 + ( - 5) \: − 3x = −7 + ( - 5)}[/tex]

[tex]\qquad \sf \: { \dashrightarrow \: − 3x = - 12}[/tex]

⠀

Dividing both sides by 3 :

[tex]\qquad \sf \: { \dashrightarrow \dfrac{ - 3x}{3} = \dfrac{ - 12}{3} } [/tex]

[tex]\qquad \sf \: { \dashrightarrow − x = −4}[/tex]

⠀

Cancelling (–) from both sides we get :

[tex]\qquad {\pmb {\bf{ \dashrightarrow x = 4}}} \\ [/tex]

⠀

Therefore, The required value of x is 4.

Answer:

10

Step-by-step explanation:

there are five members 2x5 = 10

Answer:

-1.25

Step-by-step explanation:

-9/7.2 = -1.25 or -5/4

Answer:

Area of the farm is 600m²

Area of the garden is 120m²

Step-by-step explanation:

30m x 20m = 600m²

6m x 20m = 120m²

Answer:

3×10'-2 is larger

Step-by-step explanation:

2×10'-3=0.002

3×10'-2=0.03

Answer:

3x10^-2 is larger

Step-by-step explanation:

2x10^-3 = 0.002

beause 10^-3 = decimal place three place to the left

3x10^-2 = 0.03

beause 10^-2 = decimal place two place to the left

Answer:

see explanation

Step-by-step explanation:

The parts of the graph where it is going 'up' are where it is increasing.

This is between x = - 4 to x = 0 and between x = 5 to infinity

Expressing in interval form the graph is increasing for

(- 4, 0 ) and (5, ∞ )

[tex](3x)^{2} +2*3x*2+2^{2} \\3^{2} x^{2} +2*3x*2*2^{2} \\9x^{2} +2*3x*2+2^{2} \\9x^{2} +2*3x*2+4\\9x^{2} x^{2} +12x+4[/tex]

Answer:

The answer is 4x^2-14x+28-69/x+2

Step-by-step explanation:

I just simplified what I could simply. I have tested to see if this is 100% correct and it is. Have a good day! :D

Answer:

C=3/2

Step-by-step explanation:

C4-1=5

Add 1 onto both sides

C4=6

Divide each side by 4

C=6/4

Simplify (Divide by 2)

C=3/2

[tex]\\ \sf\longmapsto x^2-4x-5=0[/tex]

[tex]\\ \sf\longmapsto x^2-5x+x-5=0[/tex]

[tex]\\ \sf\longmapsto x(x-5)+1(x-5)=0[/tex]

[tex]\\ \sf\longmapsto (x-5)(x+1)=0[/tex]

[tex]\\ \sf\longmapsto x=5\:or\:x=-1[/tex]

Solution is (-1,0) and (5,0)

Graph attached.

Spare way:-

Use quadratic formula .

[tex]\\ \sf\longmapsto x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{-(-4)\pm\sqrt{(-4)^2-4(1)(-5)}}{2(1)}[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{4\pm \sqrt{16+20}}{2}[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{4\pm 6}{2}[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{10}{2}\:or\:\dfrac{-2}{2}[/tex]

[tex]\\ \sf\longmapsto x=5\:or\:-1[/tex]

[tex]x {}^{2} - 4x - 5 = 0 \\ x {}^{2} + x - 5x - 5 = 0 \\ x(x + 1) - 5(x + 1) = 0 \\ (x + 1)(x - 5) = 0 \\ x + 1 = 0 \\ x - 5 = 0 \\ x = - 1 \\ x = 5[/tex]