If log x (8x-3)-logx4=2, the value of x is or .

Answers

Answer 1
X false -10 cg(centigrams)+8x-3
Answer 2

Answer:

[tex] x = \dfrac{1}{2} [/tex]   or   [tex] x = \dfrac{3}{2} [/tex]

Step-by-step explanation:

[tex]log_x (8x - 3) - log_x {4} = 2[/tex]

[tex] log_x \dfrac{8x - 3}{4} = 2 [/tex]

[tex]log_x (2x - \dfrac{3}{4}) = 2[/tex]

[tex] x^2 = 2x - \dfrac{3}{4}} [/tex]

[tex] 4x^2 - 8x + 3 = 0 [/tex]

[tex] (2x - 1)(2x - 3) = 0 [/tex]

[tex] 2x - 1 = 0 [/tex]   or   [tex] 2x - 3 = 0 [/tex]

[tex] 2x = 1 [/tex]   or   [tex] 2x = 3 [/tex]

[tex] x = \dfrac{1}{2} [/tex]   or   [tex] x = \dfrac{3}{2} [/tex]


Related Questions

Pablo has saved $40 to buy a Nintendo switch that costs $310.
If he can save $15 each week
, how many weeks will it take Pablo
to save enough to buy the Nintendo Switch?
A. What is the problem about?
B. What is the problem asking you
find?
C. Solve the problem and explain how you get your answer.
to

Answers

Answer:

18 weeks

Step-by-step explanation:  

Part A:

The problem is about Pablo saving up money to buy a nintendo switch.

Part B:

The problem is asking you how many weeks it will take to have enough money for the Nintendo switch.

Part C

Equation: 40 + 15w = 310

310 - 40 = 270

270/15 = 18

18 weeks

Hopefully this helps you :)

pls mark brainlest ;)

What is the scientific notation for 6.782 x 10-4

Answers

Answer:

that is already in scientific notation

Step-by-step explanation:

if you are asking for what's the actual number, then it's 0.000678

what is the square root of 30? round to the nearest tenth

Answers

Answer:

5.5

Step-by-step explanation:

5.477

Rounded to the nearest tenth it will be

5.5

Answer:Square Root of 30 to the nearest tenth, means to calculate the square root of 30 where the answer should only have one number after the decimal point.

Here are step-by-step instructions for how to get the square root of 30 to the nearest tenth:

Step 1: Calculate

We calculate the square root of 30 to be:

√30 = 5.47722557505166

Step 2: Reduce

Reduce the tail of the answer above to two numbers after the decimal point:

5.47

Step 3: Round

Round 5.47 so you only have one digit after the decimal point to get the answer:

5.5

To check that the answer is correct, use your calculator to confirm that 5.52 is about 30.

Step-by-step explanation: I HOPE I HELPS

Identify ALL of the constants & coefficients of the following equation:
1/2b-16= -4

Answers

Answer:

1/2b=-4+16

1/2b= 12

b=12×2

b=24

Answer:

constants = -16 and -4

coefficients are 1/2

Step-by-step explanation:

a constant is a number not attached to a variable. a coefficient is a number attached to a variable

So um what’s the answer to this. -7(2+k)=7

Answers

Answer:

k = -3

Step-by-step explanation:

-7(2 + k) = 7

Divide both sides by (-7)

2 + k = 7/-7

2 + k = -1

Subtract 2 form both sides

   k = -1 - 2

k = -3

Answer:

k = -3

Step-by-step explanation:

[tex]-7(2+k)=7\\\\-14-7k=7\\\\-14+14-7k=7+14\\\\-7k=21\\\\\frac{-7k=21}{7}\\\\\boxed{k=-3}[/tex]

Hope this helps.

after buying a burger thet cost $5 roy had no more then $23 in his pocket how much money did roy have before buying the burger

Answers

he has 28 dollars now

Bob, Joe, Pete, Tom, Dic and Tim share s sandwiches. How many sandwiches does each boy get?

Answers

Answer:

s divided by 6

Step-by-step explanation:

there's 6 ppl and there's s sandwiches

What’s yz I’ll mark Brainly

Answers

Answer:

y is a point on a grid and z is the ending letter of the alphabet

Step-by-step explanation:

Answer:

The answer is 5 because if line WY is a bisector and is a 90 degree angle, then XY and YZ are equal. Therefore YZ = 5

Find a and d for the function f(x) = a cos(x) + d such that the graph off matches the figure.​

Answers

a = amplitude

d = shift

Just from looking at the graph, I can tell that d = -3.5

The amplitude = 1/2

We want to find the coefficients of a given function such that the graph of the function matches the given graph.

We will get:

a = -0.5

d = -3

------------------------

We start with the general function:

f(x) = a*cos(x) + d.

Let's analyze the graph

In the figure, we can see that the graph passes through the point (0, -3.5)

This means that our function evaluated in x = 0 is equal to -3.5, then we can write:

f(0) = a*cos(0) + d = -3.5

        a + d = -3.5

We also can see that the distance between a peak and a through is 1 unit, and a, the amplitude, must be (in absolute value) half of that. Also note that when x = 0 we have a local minimum, while for the normal cosine we have a local maximum at x = 0, then a must be a negative number.

Then we have that:

a = - (1/2) = -0.5

Now that we know the value of a we can replace it in the other equation to get:

a + d = -3.5

-0.5 + d = -3.5

d = -3.5 + 0.5 = -3

Then the values of a and d are:

a = -0.5

d = -3

The function is:

f(x) = -0.5*cos(x) - 3

And the graph of this can be seen at the end of the answer, where it does not match exactly because the x-scale in the image is in units of pi, while in my graph is in integers.

If you want to learn more, you can read:

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What is the value of x? 2/7(x+4)=−6 Answers: x=−35 x=−25 x = 25 x =35

Answers

Answer:

2/7(x+4)=−6

or x+4 = -(6*7)/2

or x+4 = -21

0r x= -25


Write the polynomial in standard form. Identify the degree and leading coefficient of the polynomial.
Then classify the polynomial by the number of terms.
4w11 - w12
standard form
degree
leading coefficient

Answers

Answer:

Standard Form:-w^12+4w^11

Degree: 12 degree

Leading Coefficient: -1

Step-by-step explanation:

Standard Form: Order the exponents from greatest to least.  

Degree: The largest exponent is the degree; the exponent in the first term, IF it is in standard form.

Leading Coefficient: The coefficient of the first term in standard form.  There is and understood 1 before the w in the first term.

The required answers are given below,

Standard Form:-w¹²+4w¹¹

Degree: 12 degree

Leading Coefficient: -1

What are polynomials?

A polynomial in mathematics is an expression made up of coefficients and indeterminates and involves only the operations of multiplication, addition, subtraction, and non-negative integer exponentiation of variables.

Standard Form: Order the exponents from greatest to least. The largest exponent is the degree; the exponent in the first term, IF it is in standard form.

Leading Coefficient: The coefficient of the first term in standard form. There is an understood 1 before the w in the first term.

The answers are given as below,

Standard Form:-w¹²+4w¹¹

Degree: 12 degree

Leading Coefficient: -1

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The first two numbers in a sequence h are h(1) = 2 and h(2) = 6.

1. If h is an arithmetic sequence, write a definition for the nth term of h. Explain
or show your reasoning.


2. If h is a geometric sequence, write down a definition for the nth term of h. Show reasoning

Answers

Answer:

Step-by-step explanation:

Given the first two numbers of a sequence as 2, 6...

If it is an arithmetic difference, the common difference will be d = 6-2 = 4

Formula for calculating nth term of an ARITHMETIC sequence Tn = a+(n-1)d

a is the first term = 2

d is the common difference = 4

n is the number if terms

Substituting the given values in the formula.

Nth term Tn = 2+(n-1)4

Tn = 2+4n-4

Tn = 4n-4+2

Tn = 4n-2

2) If the sequence us a geometric sequence

Nth term of the sequence Tn = ar^(n-1)

r is the common ratio

r is gotten by the ratio of the terms I.e

r = T2/T1

r = 6/2

r = 3

Since a = 2

Tn = 2(3)^(n-1)

Hence the nth term of the geometric sequence is Tn = 2(3)^(n-1)

Find the value of k​

Answers

Step-by-step explanation:

[tex]y = ax + b \\ a = \frac{y1 - y2}{x1 - x2} = 3 \\ y = 3x - 1 \\ y = (3 \times 4) - 1 = 11 = k[/tex]

a speck of dust is 1.2 x 10^-6m wide. Which of the following is the best way to rewrite this quantity, using more appropriate units? I will Make you brainiest to the first one who answers it. A. 1.2 x 10^-4 b.1.2 x 10^-6 c.1.2 x 10^-3 d 1.2 x 10^-9

Answers

Answer:C 1.2x 10^-6

Step-by-step explanation:

Point A is at (1,5) and point C is at (-5, – 7).
Find the coordinates of point B on AC such that AC is 6 times as long as AB.

Answers

Answer:

(0,3)

Step-by-step explanation:

I did in Khan Academy and it was correct

Please help me !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

1. true

2. true

3. false

4. false

5. true

6. false

7. fase

8. true

Find the midpoint of the segment with the following endpoints.
(8, -3) and (2, -10)

Answers

Answer:

(5, -13/2)

Step-by-step explanation:

ASAP HELPPP !!!!Which of the following statements best describes a linear pair? A linear pair consists of complementary angles. A linear pair consists of supplementary angles. A linear pair consists of nonadjacent angles. A linear pair consists of vertical angles.

Answers

Answer:

A linear pair consists of supplementary angles

Step-by-step explanation:

Because a linear pair is 2 lines that form an 180 degree angle.

The statement that best describes a linear pair is that  A linear pair consists of supplementary angles. The correct option is B.

What is Supplementary Angle?

When the sum of two angles measures up to 180° then these angles are known as supplementary angles of each other.

for example, ∠x + ∠y = 180°, therefore, the ∠x and ∠y are the supplementary angles of each other.

If a straight line is intersected by a line, then there are two angles form on each of the sides of the considered straight line. Those two angles are two pairs of linear angles. That means, that if linear angles are aligned adjacent to each other, their exterior sides will make a straight line.

Further, since the angle at any side of a line is 180°. Therefore, the sum of these two angles will be equal to 180°.

Hence, the statement that best describes a linear pair is that  A linear pair consists of supplementary angles.

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Solve for x -4x + 3x = 2

Answers

add -4x and 3x to get -x. then divide -1 on both sides. x=-2

Answer:

No Solution

Step-by-step explanation:

x-4x+3x=2

0x=2

0=2 or x=2/0

Either way, no solution

Please help!
No wrong/spam answers!

Answers

Answer:

c) 25

Step-by-step explanation:

[tex] \because \: l \parallel m \\ \therefore \: 3x \degree = (2x + 25) \degree ..(alternate \: \angle 's)\\ 3x = 2x + 25 \\ 3x - 2x = 25 \\ \huge \orange{ \boxed{x = 25}}[/tex]

Answer:

Spam answer

Step-by-step explanation:

c) 25

how do I isolate V1 in this equation ​

Answers

[tex]\frac{P_{1}V_{1} }{T_{1} } = \frac{P_{2}V_{2} }{T_{2} }[/tex]

Let's start off by multiplying each side by [tex]T_{1}[/tex]

[tex]P_{1}V_{1} } = \frac{P_{2}V_{2} T_{1} }{T_{2} }[/tex]

Divide each side by [tex]P_{1}[/tex]

[tex]V_{1} = \frac{P_{2}V_{2} T_{1} }{T_{2}P_{1} }[/tex]

How do you work out the gradient of a line?

Answers

Step-by-step explanation:

The gradient of the line = (change in y-coordinate)/(change in x-coordinate) . We can, of course, use this to find the equation of the line. Since the line crosses the y-axis when y = 3, the equation of this graph is y = ½x + 3 . To find the gradient of a curve, you must draw an accurate sketch of the curve.

9in, BC = 5x , and AD = 53 in

Answers

Answer:

none of them are correct

Step-by-step explanation:

What is the solution set for 5(1−p)>−3p−5?

Answers

3p-1=5(p-1)-2(7-2p)

Simplifying

3p + -1 = 5(p + -1) + -2(7 + -2p)

Reorder the terms:

-1 + 3p = 5(p + -1) + -2(7 + -2p)

Reorder the terms:

-1 + 3p = 5(-1 + p) + -2(7 + -2p)

-1 + 3p = (-1 * 5 + p * 5) + -2(7 + -2p)

-1 + 3p = (-5 + 5p) + -2(7 + -2p)

-1 + 3p = -5 + 5p + (7 * -2 + -2p * -2)

-1 + 3p = -5 + 5p + (-14 + 4p)

Reorder the terms:

-1 + 3p = -5 + -14 + 5p + 4p

Combine like terms: -5 + -14 = -19

-1 + 3p = -19 + 5p + 4p

Combine like terms: 5p + 4p = 9p

-1 + 3p = -19 + 9p

Solving

-1 + 3p = -19 + 9p

Solving for variable 'p'.

Move all terms containing p to the left, all other terms to the right.

Add '-9p' to each side of the equation.

-1 + 3p + -9p = -19 + 9p + -9p

Combine like terms: 3p + -9p = -6p

-1 + -6p = -19 + 9p + -9p

Combine like terms: 9p + -9p = 0

-1 + -6p = -19 + 0

-1 + -6p = -19

Add '1' to each side of the equation.

-1 + 1 + -6p = -19 + 1

Combine like terms: -1 + 1 = 0

0 + -6p = -19 + 1

-6p = -19 + 1

Combine like terms: -19 + 1 = -18

-6p = -18

Divide each side by '-6'.

p = 3

Simplifying

p = 3

At a certain company, the monthly salary of project managers can be modeled by the function f(x) = x4 – 10x 2 + 10,000, where x is the number of years of employment. After how many years would a project manager be eligible for a $20,000 monthly salary? after working for exactly 10 years after working for at least 10 1/4 years after working for exactly 12 years after working for at least 12 1/4 years

Answers

Answer:

after working for at least 10 1/4 years

Step-by-step explanation:

After working for at least  10 1/4 years  a project manager would be eligible for a $20,000 monthly salary.

What is the formula to solve quadratic equation?

A quadratic equation, [tex]ax^{2} +bx+c=0[/tex] is solved by

[tex]x=\frac{-b \pm \sqrt{b^2-4ac} }{2}[/tex]

Given function [tex]f(x)=x^4-10x^2+10000[/tex]

Function that has monthly salary $20,000 will be [tex]x^4-10x^2+10000=20000[/tex]

[tex]x^4-10x^2+10000-20000=0[/tex]

[tex]x^4-10x^2-10000=0[/tex]

Now using the formula [tex]x=\frac{-b \pm \sqrt{b^2-4ac} }{2}[/tex]

[tex]x^2=\frac{10 \pm \sqrt{10^2+40000} }{2}[/tex]

[tex]x^2=\frac{10 \pm \sqrt{40100} }{2}[/tex]

[tex]x^2=\frac{10 \pm 200.2}{2}[/tex]

[tex]x^2=5 \pm 100.1[/tex]

[tex]x^2=105.1[/tex]

[tex]x=\sqrt{105.1}[/tex]

[tex]x=10.25[/tex]

Hence, after working for at least  10 1/4 years  a project manager would be eligible for a $20,000 monthly salary.

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Find the area of a rectangle with base 4 ft and helght 4 in.

Answers

Answer:

16in ^2

Step-by-step explanation:

4*4

Answer:

Area of rectangle is 16

Step-by-step explanation:

Area of rectangle = base, 4, times the height, 4

Area of rectangle = 4 times 4

Area of rectangle = 16

PLS HELP, I'LL GIVE YOU NITRO ON DISC0RD!!! Jose ran a concession stand last Saturday and made $79.80 from selling a total of 42 hot dogs and hamburgers. Each hot dog sold for $1.50 and each hamburger sold for $2.70. Which system of equations can be used to determine the number of hot dogs, x, and hamburgers, y, that were sold?

Answers

Answer:

1.50x + 2.70y - 84 = 79.80

Explanation: I REALLY don't know if this is right, but I hope I helped you out at least a little bit.

Answer:

x + y = 42

1.50x + 2.50y = $79.80

x = 28 hot dogs

y = 14 hamburgers

Step-by-step explanation:

x = hot dogs

y = hamburgers

Equation:

x + y = 42

1.50x + 2.50y = $79.80

I used Substitution

x = 42 - y

1.50(42 - y) + 2.50y = 79.80

63 - 1.50y + 2.70y = 79.80

63 + 1.2y = 79.80

Substract 63 from both sides

1.2y = 16.8

Divide 1.2 on both sides

y = 14

x + y = 42

x + 14 = 42

x = 28

y = 14

Don't know how to explain that well, I hope this helps.

The perimeter of the triangle is 13 inches. What is the length of the shortest side?

Answers

Answer:

3 in

Step-by-step explanation:

Sum of all sides of ∆ = perimeter

Given that it has a perimeter of 13 in, and the following sides: (x - 5) in, x/2 in, and 6 in, therefore:

[tex] x - 5 + \frac{x}{2} + 6 = 13 [/tex]

Solve to find the value of x

[tex] \frac{2x - 10 + x + 12}{2} = 13 [/tex]

[tex] \frac{3x + 2}{2} = 13 [/tex]

Multiply both sides by 2

[tex] \frac{3x + 2}{2}*2 = 13*2 [/tex]

[tex] 3x + 2 = 26 [/tex]

Subtract 2 from both sides

[tex] 3x + 2 - 2 = 26 - 2 [/tex]

[tex] 3x = 24 [/tex]

Divide both sides by 3

[tex] \frac{3x}{3} = \frac{24}{3} [/tex]

[tex] x = 8 [/tex]

The shortest side = (x - 5) in

Plug in the value of x

= (8 - 5) in

= 3 in

help me plssssssssssssssssssssss :)

Answers

Answer:

19.[tex]-\frac{5}{6}^{3}[/tex]

20.[tex]s^{2} *7^{3}[/tex]

21.[tex]4^{2} * b^{4}[/tex]

22. 97.2

23. 234

Step-by-step explanation:

[tex]k^{4}*m\\ 3^{4} *\frac{5}{6}\\ 81*\frac{5}{6}=97.2[/tex]

[tex](c^{3}+ d^{4})^{2} -(c+d)^3\\(-1^3+2^4)^2-(-1^3+2^3)\\-1+256+1+8\\=234[/tex]

I hope this helps.

Solve for 2x - 10 = 90 ALOT OF POINTS AND BRAINLIST QUESTION​

Answers

Answer: X = 50

Step-by-step explanation:

Add 10 to both sides

2x = 100

divide by 2

x= 50

Answer:

x=50

Step-by-step explanation:

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