Consider the equation below.
log.(x+3) = log2 (2+x)
Which system of equations can represent the equation?

Consider The Equation Below.log.(x+3) = Log2 (2+x)Which System Of Equations Can Represent The Equation?

Answers

Answer 1

Answer:

Option (1)

Step-by-step explanation:

[tex]\text{log}_4(x + 3)=\text{log}_2(2 + x)[/tex]

[tex]\text{log}_4(x + 3)=\frac{\text{log}_{10}(x+3)}{\text{log}_{10}4}[/tex]

[tex]\text{log}_2(2 + x)=\frac{\text{log}_{10}(2+x)}{\text{log}_{10}2}[/tex]

System of equations can be written as,

[tex]y_1=\text{log}_4(x + 3)=\frac{\text{log}_{10}(x+3)}{\text{log}_{10}4}[/tex]

[tex]y_2=\text{log}_2(2 + x)=\frac{\text{log}_{10}(2+x)}{\text{log}_{10}2}[/tex]

Therefore, system of equations given in Option (1) is the correct option.

Answer 2

Answer:

Option (A)

Step-by-step explanation:

Good Luck on your test


Related Questions

What is the equation of the function:(-1,3),(0,4),(2,6)
A) f(x)= x^2 +x -4

Answers

(0,4)
hope this helped

What category does the number negative 4 fall into 

Answers

Answer:

It falls in the integer category. The attached picture is a chart if you want to specify a number in a category.

Hope this helps :)

NOT TO
SCALE
Jo
The two containers are mathematically similar in shape.
The larger container has a volume of 3456 cm and a surface area of 1024 em'.
The smaller container has a volume of 1458 em.
Calculate the surface area of the smaller container,
[4]

Answers

Answer:

455.1 cm²

Step-by-step explanation:

The two containers have the following;

Large container

Volume : 3456 cm³

Surface area : 1024 cm²

Small container

Volume : 1458 cm³

Surface area : ?

If the two containers are mathematically similar then first find the volume scale factor

Volume of large/ volume of small

3456/1024 = 3.375

Length scale factor will be cube root of volume scale factor

∛3.375 = 1.5

Area scale factor is a square of the length scale factor

=1.5² = 2.25

=Surface area of the small container will be :

Larger area = 2.25 * small area

1024 = 2.25 * small area

1024/2.25 = small area

Surface area of the smaller container 455.1 cm².

Help due in 10 minutes!!

Answers

Answer:

A its like right there in the chart

Step-by-step explanation:

hope this helped

D. The graph goes up by 2.5 each time.

Please help me solve these problems, or as many as you can. I need them in step by step..

5. 36d¹⁰/6d⁵

6. [(4³)²]²

7. 5³•7⁵•10/5•7⁴

8. (2²)⁷

9. (8v⁹)⁵

Answers

Answer:

5. 36d¹⁰/6d⁵ = 6d⁵

6. [(4³)²]² = 4⁷

7. 5³•7⁵•10/5•7⁴ = 5²•7• 10

8. (2²)⁷ = 2⁹

9. (8v⁹)⁵ = 8⁵V¹⁴

Step-by-step explanation:

When solving questions having indices, we follow certain rules in Mathematics

a) a^b/a^c = a^b-c

b) (a^b)^c = a^b+ c

Hence:

5. 36d¹⁰/6d⁵ =

(36/6)^d^10-5 = 6d⁵

6. [(4³)²]²

= (4)^3 + 2+ 2 = 4⁷

7. 5³•7⁵•10/5•7⁴

= (5)^3-1 • (7) ^5-4• × 10

= 5²•7•10

8. (2²)⁷

= (2)^2 + 7

= 2⁹

9. (8v⁹)⁵

= 8⁵•v^9+5

= 8⁵v¹⁴

A number is equal to 3 times a smaller number. Also, the sun of the smaller number and 4 is the larger number. The
situation is graphed on the coordinate plane below, where x represents the smaller number and y represents the larger
nunber

Answers

Answer:

y=3x and y=x+4

that is the third option

Step-by-step explanation:

let the larger number be y and the smaller one be x

From the mathematical statements,

y=3x

Also

y=x+4

Cuanto es 43x5-6 (dividido) 2=

Answers

212

I think that’s the answer

please help!! I'm going to fail!! ​

Answers

B ( the second one)

Answer:

3rd one

Step-by-step explanation:

look t the form x equals up to a diviser

Tritan played in a football game he caught the ball at the goal line and ran forward 30 yards before he was tackled how could tristansrun be represented as a fraction and decimal of the whole football field

Answers

Answer:

As a fraction = [tex]\dfrac{30}{100}[/tex]

As a decimal = 0.3

Step-by-step explanation:

Recall that: The total yard of a football field = 100 yards

Tritan played in a football game he caught the ball at the goal line and ran forward 30 yards before he was tackled,

As a fraction;

Tristan run can be represented as = number of run from goal-line/ total length of the field

= [tex]\dfrac{30}{100}[/tex]

As a decimal= 0.3

what is 4.5+1.5k=18-3k

Answers

Answer:  k = 3

Step-by-step explanation:

1

Combine multiplied terms into a single fraction

4

.

5

+

1

.

5

Answer:

Thr33

Step-by-step explanation:

3

delicious Bakery has a monthly budget of D dollars. Every month, it spends $3,080 on employee salaries. 1/4 of the remaining budget is spent on the ingredients. Which function can be used to find the amount, in dollars, spent on ingredients each month?​

Answers

Answer:

yellow

Step-by-step explanation:

What is the solution set for this inequality -4x + 62 < -18

Answers

Answer:

x > 20

Step-by-step explanation:

-4x + 62 < -18

Add subtract 62 from both sides

-4x < -80

We can flip the sign and take away the negatives if both sides are negative.

4x > 80

Divide both sides by 4

x > 20

Describe and correct the error in finding the intercepts.
Example:
The intercept is not at (8, 2) because... Instead, it
should be...

Answers

Answer:

The x=8 is only for the x interecept, and the x-intercept is (8,0). You assume y to be 0 then you say it's 2, that is incorrect. x and y interecepts should not be combined. The correct x-intercept and y-intercept are (8,0) and (0,2) respectively

6h+9 is greater than 51​

Answers

Answer:

h > 7

Step-by-step explanation:

6h + 9 > 51

    -9       -9

6h > 42

/6      /6

h > 7

Hope this helps!

A circle with area 64 cm2 has a
sector with a 45-degree
central angle.
The area of the sector is
cm2

Answers

9514 1404 393

Answer:

  8 cm²

Step-by-step explanation:

A 45° sector is (45°)/(360°) = 1/8 of the circle, so its area is ...

  (1/8)(64 cm²) = 8 cm² . . . . area of sector

Can you help me

(1). If f(x)=|x−5|+3, find f(2).


11


6


4


0

(2). If f(x)=8−3|x+2|, find f(−6).


−16


−4


4


20

(3). What is the turning point of the graph of f(x)=|x−2|+3?


(2, −3)

(2, 3)

(−3, 2)

(3, 2)

Answers

(1).

f(x) = |x − 5| + 3

f(2) = |2 − 5| + 3 = |−3| + 3 = 3 + 3 = 6

(2).

f(x) = 8 − 3|x + 2|

f(−6) = 8 − 3|−6 + 2| = 8 − 3|−4| = 8 − 3·4 = 8 −  12 = − 4

(3).

For f(x) = |x − h| + k the turning point is (h, k), so:

f(x) = |x − 2| + 3   ⇒  the turning point is: (2, 3)

The value of f (2) will be;

⇒ f(2) = 6

The value of f (- 6) will be;

⇒ f(-6) = 4

The turning point of the graph will be;

⇒ (2, 3)

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

1) The function is,

⇒ f(x) = |x−5| + 3

2) The function is,

⇒ f(x) = 8 - 3 |x+ 2|

3) The function is,

⇒ f(x) = |x−2| + 3

Now,

1) The function is,

⇒ f(x) = |x−5| + 3

Put x = 2;

⇒ f (2) = |2 - 5| + 3

⇒ f (2) = 3 + 3

⇒ f(2) = 6

2) The function is,

⇒ f(x) = 8 - 3 |x+ 2|

Put x = - 6;

⇒ f (- 6) = 8 - 3 |- 6 + 2|

⇒ f (-6) = 8 - 3 × 4

⇒ f(-6) = 8 - 12

⇒ f (- 6) = - 4

3) The function is,

⇒ f(x) = |x−2| + 3

We know that;

Turning point of the function f (x) = |x - h| + k are (h, k)

So, By comparing we get;

The turning point of the graph of f(x) = |x−2| + 3 are (2, 3).

Thus, The value of f (2) will be;

⇒ f(2) = 6

The value of f (- 6) will be;

⇒ f(-6) = 4

The turning point of the graph will be;

⇒ (2, 3)

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ2

Marco scored 20 points at the basketball game . If this is 40% of the total score, what was the total score for the basketball game ?

Answers

The total score for the basketball game was 50 points.

What is percentage?

Percentage is a part of the whole number. It is denoted by % sign.

1 %= 1/100.

Given that,

Points scored by Marco in basketball game = 20

Also, points scored by Marco is 40% of the total score,

Implies that,

40% = 20

1 % = 20 / 40

To determine total score, find value of 100%,

100 % = (20 / 40) x 100

          = 50

The total score for the basketball game was 50.

To know more about Percentage on:

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Is -17/-40 equal to 0.245

Answers

Answer:no

Step-by-step explanation:it will be 0.425

6 to the power of 2 equal ?

Answers

Answer:

36

Step-by-step explanation:

Whenever something is to the power of 2, just think of the number multiplied twice :) Hoped this helped.

A concert charges $5 for a children's ticket and $11 for an adult’s ticket. One Saturday, the theater sold 1200 tickets for $10,800. How many children’ tickets and adults’ tickets were sold?

Answers

Answer:

i think 15 kid and 18 aduits

Step-by-step explanation:

Answer:

800 children’s ticket were sold and 400 adult tickets were sold

Step-by-step explanation: using elimination

variables-

amount of children’s ticket sold: C

amount of adult tickets sold: A

equations-

A+C=1200

5A+11C=10,800

solving-

(A+C=1200) -5 —> -5A-5C=-6000

5A+11C= 10,800

use elimination on those two equation and you get C=800, A=400.

to check you plug in the numbers into one of the equations, doesn’t matter which one.

how to factor this completely?
25v3 - 40v2 + 35v – 56​

Answers

Answer:

Factor 25v3−40v2+35v−56

25v3−40v2+35v−56

=(5v−8)(5v2+7)

Answer:

(5v−8)(5v2+7)

Someone help me pls!!!!!!

Answers

Answer:B

Step-by-step explanation:

A recipe for 1 batch of spice mix says, “Combine 3 teaspoons of mustard seeds, 5 teaspoons of chili powder, and 1 teaspoon of salt.” How many batches are represented by the diagram? Explain or show your reasoning.

Answers

Answer:

There is no diagram for our observation. Please refine your question next time.

Step-by-step explanation:

THIS IS URGENT, PLEASE ANSWER ASAP!
In an isosceles trapezoid, how do you prove the base angles are congruent?

Answers

Answer: Well there's a geometry definition stating that the two angles are equal.

But ig i can try to make a proof.

First make a perpendicular bisector from the vertex to the bottom splitting the bottom side in half.

Now because of LL theorem, and the reflexive property, the two triangles are equal.

Now using cpctc, the two angles are also equal.

Step-by-step explanation:

Answer:

here is your answer...

hope it helps!

The Micro Devices Company earned 3,632,859,678 dollars this year. 2,459,632,852 dollars were earned last year. Which is the best estimate of how many more dollars were earned this year than last year?

Answers

Answer:

$1,173,226,826  

Step-by-step explanation:

The estimate of the increase in dollars earnings is the difference between this year's earnings and last year's earnings. In other words, the increase in earnings is the excess of current year's earnings over last year's earnings as computed below:

increase in earnings=this year's earnings-last year's earnings

this year's earnings=$3,632,859,678

last year's earnings=$2,459,632,852

increase in earnings=$3,632,859,678-$2,459,632,852

increase in earnings=$ 1,173,226,826  

3=2-b solve this question please​

Answers

Answer:

b=1

Step-by-step explanation:

Subtract 2 from both sides

b=1

Answer:

Step-by-step explanation:

3 = 2 - b

B + 3 = 2

b = 2 - 3 = - 1

Hi again if you can help me with this question I would really appreciate it :)

Answers

i think it is
1. false
2. true
3. false

George went on a trip to visit the Mariana Islands. He left at 5:30pm on Friday night stayed 3 night's and returned at 11:30am on Monday. how many hours was George gone?

Answers

You need two people to answer to mark the other Brainlyest

Problem is in pictures !

Answers

Answer:

its A my bro mark me brainleist please

Step-by-step explanation:

PLEASE HELP ILL GIVE BRAINLIEST TO FIRST CORRECT ANSWER
An adult can take 400 mg of ibuprofen. Each hour, the amount of ibuprofen decreases by 25%.
a. Write an equation of this exponential situation for the total amount of ibuprofen, y, in terms of the number of hours, x.

b. Does this situation represent exponential growth or decay? Explain how you know.

Answers

Answer:

a) y = 400(0.75) ^x

b) Exponential Decay

Step-by-step explanation:

An adult can take 400 mg of ibuprofen. Each hour, the amount of ibuprofen decreases by 25%.

a. Write an equation of this exponential situation for the total amount of ibuprofen, y, in terms of the number of hours, x.

This situation above is an exponential decay situation.

The forms is given as

y = a(1 - r) ^x

Where

y = the total amount of ibuprofen

a = initial amount of ibuprofen = 400mg

r = Decay rate = 25%

x = Time in hours

Hence, the Equation is written as

y = 400(1 - 0.25) ^x

y = 400(0.75)^x

b. Does this situation represent exponential growth or decay? Explain how you know

This situation represents an exponential decay because we are told in the question that each hour, the amount of ibuprofen DECREASES by 25%. Decrease in this context means Decay.

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