log x + log(x+3) = 1
Answers
9514 1404 393
Answer:
x = 2
Step-by-step explanation:
Taking antilogs, the equation becomes ...
x(x +3) = 10
x^2 +3x +2.25 = 12.25 . . . . add (3/2)² to complete the square
(x +1.5)² = 3.5² . . . . write as squares
x = -1.5 +3.5 . . . . . . take the positive square root*
x = 2
_____
* The negative square root gives an extraneous solution (x=-5).
__
I find that using a graphing calculator with the original equation avoids extraneous solutions. Here we transform the equation to the form f(x) = 0, so the x-intercept is the value of x we seek.
Related Questions
Helppppppppppppppppppppp
pleaseeeeee
Answers
Answer:
Question 3: x = 11
Question 4: x = -17
Question 5: x = 26
Question 6: 10 = x
Question 7: x = 36
Question 8: x = 88
Question 9: x = 81
Question 10: n = 36
Step-by-step explanation:
Landon rides his bike 178 feet in 8 seconds, find the unit rate
Answers
Answer:
22.25
Step-by-step explanation:
178/8=22.25
Answer:
22.25
Step-by-step explanation:
178 divided by 8
Find the perimeter of this figure. Enter your answer in the box.
Answers
Answer:
I think you forgot to put the figure
Anyone can help me on this
Answers
Answer:
f(1)=5 f(0)=0 f(-1)=-3
Step-by-step explanation:
by pluging it in.
Does the equation 600 ÷ 120 = 5 represent this tape diagram? Explain your reasoning.
Answers
HELP! i can not figure this out! y=4x+1
Answers
Answer:
1
Step-by-step explanation:
Find the length of the missing side plz
Answers
PLZ ANSWER BRAINLIEST
Tom needs to get on his roof to clean the gutters, his roof is 30ft. high, his ladder is 35ft. long. Tom places the ladder 4ft. away from his house. Will Tom need a longer ladder?
apply the Pythagorean Theorem
Answers
Answer:
Tom wont need a longer ladder.
Step-by-step explanation:
Answer:
No the ladder is long enough.
Step-by-step explanation:
30x30=900
4x4=16
Sq. Root of (900+16)= 30.27ft distance from the ground to the roof, 4 ft away from the house.
Cassie works at the apple store. She earns $12 plus $8 for each hour she works. Write an equation to represent her earnings.
Answers
Answer:
8h+12=E
h: hours worked
E: total Earnings
Apples: $(2x) per pound
Grapes: $(6x – 5) per pound
Oranges: $(x + 2) per pound
A shopper purchases one pound each of
apples, grapes, and oranges and spends
$10.50. How much is spent on each type
of fruit?
Answers
Answer:
Shopper spend $3 on Apples, $4 on Grapes and $3.5 on Oranges
Step-by-step explanation:
Cost of one pound of Apple = $2x
Cost of one pound of Grapes = $(6x-5)
Cost of one pound of Oranges = $(x+2)
A shopper purchases one pound each of apples, grapes, and oranges and spends $10.50.
It can be written as: [tex]2x+6x-5+x+2=10.50[/tex]
We need to find how much the shopper spend on each fruit.
First we need to find value of x by solving equation
[tex]2x+6x-5+x+2=10.50[/tex]
Solving:
[tex]2x+6x+x+2-5=10.50\\9x-3=10.50\\9x=10.50+3\\9x=13.5\\x=\frac{13.5}{9}\\x=1.5[/tex]
The value of x is: x=1.5
Now finding cost of one pound each fruit by putting x=1.5
Cost of one pound of Apple = $2x = 2(1.5) = $3
Cost of one pound of Grapes = $(6x-5) = (6(1.5)-5)= $4
Cost of one pound of Oranges = $(x+2)=(1.5+2)=$3.5
So,
Cost of one pound of Apple = $3
Cost of one pound of Grapes = $4
Cost of one pound of Oranges = $3.5
So, shopper spend $3 on apples, $4 on Grapes and $3.5 on Oranges
Solve the equation.
a−6=13
Answers
Answer:
19
Step-by-step explanation:
19-6=13
i hope this helps
Answer:
19
Step-by-step explanation:
: Add 6 to both sides.
a−6+6=13+6
a=19
Describe a real life situation that uses the sum of the integers -8 and 12.
Answers
help please I'm to stupid for this
Answers
Answer:
X>0, so the second one
Step-by-step explanation:
Since the point on 0 is OPEN that means the number (0) is NOT part of the solution. Therefore, X is greater than 0.
-2x + 6 = 16
show work
Answers
Answer:
x=-5
Step-by-step explanation:
-2x+6=16
-2x=10
x=-5
6) Two coastguard stations P and Q are 17km apart, with due East of P. A ship S is observed in distress on a bearing 048° fromP and 324 from Q. How far is the ship from each of the coastguard stations?
Answers
Answer:
The ship S is at 10.05 km to coastguard P, and 12.70 km to coastguard Q.
Step-by-step explanation:
Let the distance of the ship to coastguard P be represented by x, and its distance to coastguard Q be represented by y.
But,
<P = 048°
<Q = [tex]360^{o}[/tex] - [tex]324^{o}[/tex]
= 0[tex]36^{o}[/tex]
Sum of angles in a triangle = [tex]180^{o}[/tex]
<P + <Q + <S = [tex]180^{o}[/tex]
048° + 0[tex]36^{o}[/tex] + <S = [tex]180^{o}[/tex]
[tex]84^{o}[/tex] + <S = [tex]180^{o}[/tex]
<S = [tex]180^{o}[/tex] - [tex]84^{o}[/tex]
= [tex]96^{o}[/tex]
<S = [tex]96^{o}[/tex]
Applying the Sine rule,
[tex]\frac{y}{Sin P}[/tex] = [tex]\frac{x}{Sin Q}[/tex] = [tex]\frac{z}{Sin S}[/tex]
[tex]\frac{y}{Sin P}[/tex] = [tex]\frac{z}{Sin S}[/tex]
[tex]\frac{y}{Sin 48^{o} }[/tex] = [tex]\frac{17}{Sin 96^{o} }[/tex]
[tex]\frac{y}{0.74314}[/tex] = [tex]\frac{17}{0.99452}[/tex]
⇒ y = [tex]\frac{12.63338}{0.99452}[/tex]
= 12.703
y = 12.70 km
[tex]\frac{x}{Sin Q}[/tex] = [tex]\frac{z}{Sin S}[/tex]
[tex]\frac{x}{Sin 36^{o} }[/tex] = [tex]\frac{17}{Sin 96^{o} }[/tex]
[tex]\frac{x}{0.58779}[/tex] = [tex]\frac{17}{0.99452}[/tex]
⇒ x = [tex]\frac{9.992430}{0.99452}[/tex]
= 10.0475
x = 10.05 km
Thus,
the ship S is at a distance of 10.05 km to coastguard P, and 12.70 km to coastguard Q.
I needddd helppppp pleaseee
Answers
Answer:
ok this triangle is an isosceles triangle because when you tell sit and look at the base sides that is 55° and be those are the base angles so if one is 55 the other one is also 55 So B is 55
Answer:
B=55°
Step-by-step explanation:
That is an isosceles triangle TS and US are the same size. So the 2 angles at the base (TU) will be the same. so b=55°
A large envelope is 0.085 cm thick. How thick would a stack of 100 of these envelopes be? Explain your reasoning.
Answers
Answer:
8.5 cm
Step-by-step explanation:
I think because wouldn't you take the 0.085 · 100
(get mad if I'm wrong i might be)
Answer:
8.5 cm
Step-by-step explanation:
Since there is 100 of the envelopes, 0.085*100 is 8.5
PLEASE HELP WILL GIVE BRAINLY
(USE BAR NOTATION IF NEEDED!!!!!!
CONVERT TO DECIMAL
Answers
Answer:
3.34 is the decimal form but the question is unclear, what is it that you need?
Step-by-step explanation:
factories
x⁴ y⁴- xy
Answers
Answer:
xy (x³y³-1) this is the correct answer. check my explanation to understand
Step-by-step explanation:
x⁴y⁴-XY =
xy (x³y³-1)
Find m and n if if the sum of zeros of mx²-2x + n is 4, and product is 4
Answers
Answer:
dont know
Step-by-step explanation:
Use the properties of operations to write an
expression equivalent to:
4x + 1/2 + 2x - 3
Answers
Answer:
6x * 1/2 - 3 (* means multiplying)
Step-by-step explanation:
In this problem, you are using communitive property and so you are just changing the problem to an equal situation.
The equivalent expression of 4x + 1/2 + 2x - 3 is 6x - 8/3.
What is a mathematical equation and expression?In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.Given is the expression -
4x + 1/2 + 2x - 3
We have the following expression -
4x + 1/2 + 2x - 3
Solving further -
4x + 2x - 3 + 1/3
6x + 1/3 - 3
6x + (1 - 9)/3
6x - 8/3
Therefore, the equivalent expression of 4x + 1/2 + 2x - 3 is 6x - 8/3.
To solve more questions on functions, expressions and polynomials, visit the link below -
brainly.com/question/17421223
#SPJ2
The distance between the longest and shortest sides of parallelogram are respectively 12 cm and 16 cm. If the longest side measures 24 cm find the perimeter of the parallelogram
Answers
Answer:
16c
Step-by-step explanation:
ANSWER
The length of side 24cm
Its corresponding height is 12cm
The area of parallelogram is 24×12=288cm
2
The length of another side is 18cm
The area of parallelogram is 288cm
2
Its corresponding height is
18
288
=16c
what is the volume of the cylinder shown below?
Answers
Answer:
d or q
Step-by-step explanation:
it's about proportion and stuff but I'm confused on this one can someone please explain?
Answers
Answer:
the one clue you have is "30,12" on the left. try to understand how they relate to each other. maybe how many times 12 goes into 30. or maybe how many times it goes into 32 with no decimal so what number do you have to add (sometimes work doesnt mean it like that so that might be wrong). but if you want the answers, they are:
35/5/15/30
14/2/6/12
the way i did it was if it was on the bottom (y) i did 2.5 times the number. if on the top (x) i did the number divided by 2.5. 2.5 was the rate of change (is that the word i think it is but if it isnt just blame me im sorry).
Step-by-step explanation:
PLS HELP ME I’VE ASKED THIS TWICE AND NOBODY HAD ANSWER THIS IS REALLY EASY TO DO
I HAVE THE ANSWER I JUST NEED TO SHOW THE WORK. PLS HELP MEEEE!!!
The answer is x = 9
Answers
Answer:
Step-by-step explanation:
All the angles within a triangle equals to 180, and that square thing at a corner of the triangle means that the angle is 90 degrees, so:
20+6x+16+90=180
add stuff
6x+126=180
subtract 126 from both sides
6x=54
divide 6 from both sides
x=9
135x7 in standered form
Answers
In standard form: 9.45 * 10^2
simplify f (x)=5x^2-10x+6
Answers
Step-by-step explanation:
[tex]f(x) = {x}^{2} - 5x + \frac{6}{5} [/tex]
[tex]f(x) = {x}^{2} - 5x + \frac{25}{4} - \frac{9}{5} [/tex]
f(x) =(x-5/2)^2-9/5
answer this please
Answers
Answer5 times 6=30 divide bc its a triangle the answer is 15
Step-by-step explanation:
(-1)^39=
Answers
Find 4+(−1 2/3). Write your answer as a fraction in simplest form.
Answers
Answer:
[tex]\frac{7}{3}[/tex]
I hope this helps!
Answer:
2 1/3
Step-by-step explanation: