What is the solution of log (2 t 4) = log (14 minus 3 t)? –18 –2 2 10

Answer:

[tex]1\frac{5}{12}[/tex]

Step-by-step explanation:

[tex]1\frac{2}{3}-\frac{1}{4}[/tex]

[tex]\mathrm{Subtract\;Whole\;Number}[/tex]

[tex]1-0=1[/tex]

[tex]\mathrm{Combine\;fraction}[/tex]

[tex]\frac{2}{3}-\frac{1}{4}:\frac{5}{12}[/tex]

[tex]=1+\frac{5}{12}[/tex]

[tex]=1\frac{5}{12}[/tex]

Hence, the answer is 1 5/12

~Lenvy~

1. Convert the 1 and 2/3 from mixed partial fractions to improper fractions to make it a bit simpler to calculate

⇒ [tex]1\frac{2}{3} = \frac{5}{3}[/tex]

2. Now lets the change the base of both fractions into a common denominator and solve

⇒ [tex]\frac{5}{3}-\frac{1}{4} = \frac{5*4}{3*4} -\frac{1*3}{4*3} =\frac{20}{12}-\frac{3}{12} =\frac{20-3}{12} =\frac{17}{12} = 1\frac{5}{12}[/tex]

Answer: [tex]\frac{17}{12}[/tex] or [tex]1\frac{5}{12}[/tex]

Hope that helps!

Replace x in the equation and see which one equals the y values:

The answer is f(x) = 2x - 1

Answer:

B

Step-by-step explanation:

51 is larger than 15.

Hope this helps.

Answer:

bobux

Step-by-step explanation:

yes because are

Answer:

1 solution

(3, 4)

Step-by-step explanation:

The pair of equations for lines A and B have 1 solution because there is one point of intersection.

The point of intersection is (3, 4), therefore this is the solution.

Answer:

3,4

Step-by-step explanation:

Answer:

[tex]\sf y \leq \dfrac34x[/tex]

Step-by-step explanation:

Choose 2 points on the line:  (0, 0) and (4, 3)

[tex]\sf slope=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{3-0}{4-0}=\dfrac34[/tex]

point-slope form of linear equation:  [tex]\sf y-y_1=m(x-x_1)[/tex]

[tex]\implies \sf y-0=\dfrac34(x-0)[/tex]

[tex]\implies \sf y=\dfrac34x[/tex]

Solid line : ≤ or ≥

Dashed line: < or >

Therefore as the line is solid, and the shading is below the line,

[tex]\implies \sf y \leq \dfrac34x[/tex]

Slope:-

[tex]\\ \tt\Rrightarrow m=\dfrac{6+3}{8+4}=\dfrac{9}{12}=\dfrac{3}{4}[/tex]

Equation of line in point slope form

[tex]\\ \tt\Rrightarrow y+3=3/4(x+4)[/tex]

[tex]\\ \tt\Rrightarrow y+3=3/4x+3[/tex]

[tex]\\ \tt\Rrightarrow y=3/4x[/tex]

equation of shaded region

[tex]\\ \tt\Rrightarrow y\leqslant 3/4x[/tex]

Answer:

I believe it is D

Step-by-step explanation:

Step-by-step explanation:

let the unknown square = X

therefore

X^2 >2

Answer:

If you mean [tex]\sqrt{ab^{2}[/tex] then the answer is [tex]b\sqrt{a}[/tex]

Step-by-step explanation:

Answer:

ab

Step-by-step explanation:

Original expression:

[tex]\sqrt[]{(ab)^2}[/tex]

Apply the rule [tex](xy)^c=x^c \cdot y^c[/tex]

[tex]\implies \sqrt[]{(ab)^2}=\sqrt[]{a^2 \cdot b^2}[/tex]

Apply the rule [tex]\sqrt{xy}=\sqrt{x} \sqrt{y}[/tex]

[tex]\implies \sqrt[]{a^2 \cdot b^2}=\sqrt{a^2} \sqrt{b^2}[/tex]

Apply the rule [tex]\sqrt{x^2}=x[/tex]

[tex]\implies \sqrt{a^2} \sqrt{b^2}=ab[/tex]

Answer:

4x^(2)+9

Step-by-step explanation:

Answer:

v = [tex]\frac{7\sqrt{2} }{2}[/tex]

u = [tex]7[/tex]

Step-by-step explanation:

First, the angle on the far left is also 45 degrees.

So, v is equal to [tex]\frac{7\sqrt{2} }{2}[/tex] because this is a 45-45-90 triangle, so the sides opposite the 45-degree angles are congruent.

However, u is the side opposite the 90-degree angle, so it is equal to the other side value, multiplied by [tex]\sqrt{2}[/tex].

So, [tex]\frac{7\sqrt{2}}{2}*\sqrt{2}[/tex] is equal to:

[tex]7[/tex]

Hope this helps!

Answer:

56*56

Step-by-step explanation:

The 56*56 is divided by the same option in the 57

To simplify, we multiply each single one in the first bracket with both in the second bracket :

[tex](3x+1)(3x-5) = 9x^{2} -15x + 3x - 5[/tex]

Answer: 3

Step-by-step explanation: (2x2 + 5x - 7) + ( 3 - 4x2 + 6x)= -8+11x=3

Step-by-step explanation:

this sequence has 8 terms and the common ratio or multiplication factor is -1/2.

we could add these 8 numbers manually or use the formula :

Sn = a1(1 - r^n)/(1 - n)

when r < 1 (like in our case -1/2).

S8 = 128(1 - (-1/2)⁸)/(1 - -1/2) =

= 128(1 - 1/256)/(3/2) = (128×255/256)/(3/2) =

= (255/2)/(3/2) = 255/2 × 2/3 = 255/3 = 85

Answer

18,080

Explantion

400x10=4000x4=16000

400x5=2000

2000+16000=18000

400×.2=80

cause 20% of 400 is 80

so total is 18,080

Answer:

0.00125

Step-by-step explanation:

Answer:

A is rational

B is irrational

C is integer

D is whole

E is rational

F is rational

G is rational

H is irrational

I is whole

J is whole

Step-by-step explanation:

hope this helped! i am not 100% sure this is right but i think it might be.

p.s it would be cool if you gave me brainliest.

Answer:

−

6

−

1

4

=

+

7

-6x-14=x+7

−6x−14=x+7

−

6

−

1

4

+

1

4

=

+

7

+

1

4

Add the numbers

Add the numbers

again

−

6

=

+

2

1

Subtract  

x

x

from both sides of the equation

−

6

=

+

2

1

-6x=x+21

−6x=x+21

−

6

−

=

+

2

1

−

Simplify

Combine like terms

Combine like terms

again

−

7

=

2

1 the answer is=3

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

-14-6x=x+7

-14-6x+14=x+7+14

-6x=x+21

-6x-x=x+21-x

-7x=21

\frac{-7x}{-7}=\frac{21}{-7}

x=-3

Answer:

lift

Step-by-step explanation:

your head up

Answer:

301.7 cm

Step-by-step explanation:

Given,

Height of cone (h)=8cm

base radius (r)=6cm

Volume of the cone (V)=

3

1

πr

2

h

=

3

1

×

7

22

×6×6×8

=

7

2112

=301.7cm

3

Hence, volume of the cone =301.7cm

3

Answer:

402.1402.1 cm

Step-by-step explanation

height = 6cm

Radius= 8cm

Answer:

I believe it is a 25% increase

Answer:

11.1111% increase fee for an accounting course,

5.55555% per each semester.

Step-by-step explanation:

Hope this helps! Please let me know if you need more help, or if you think my answer is incorrect. Brainliest would be MUCH appreciated. Have a great day!

Answer:

15

Step-by-step explanation:

divide it by 10 or move the decimal point one place to the left.

so 150. would be 15.0 making it 15

Answer:

18.4

Step-by-step explanation:

the angle is what u are to find, using the trig function Tan.

Answer:

f(g(x))=9-x-[tex]x^{2}[/tex]

Step-by-step explanation:

Given ,

f(x)=9-x

g(x)=[tex]x^{2}[/tex] +x

here,.

fog

=f(g(x))

=f([tex]x^{2}[/tex] +x)

=9-([tex]x^{2}[/tex] +x)

=9-[tex]x^{2}[/tex] -x

=9-x-[tex]x^{2}[/tex]

Answer and explanation:

Find answer and explanation attached

Answer:

x = 5 units

Step-by-step explanation:

Hello!

We know that the area of a rectangle is the length multiplied by the width.

We can simply create an expression to solve for x.

Solve:

The value of x is 5 units.

Answer:

6th term

Step-by-step explanation