Answer:
B
Step-by-step explanation:
Using the rules of logarithms
log x + log y = log (xy)
[tex]log_{b}[/tex] x = n , then x = [tex]b^{n}[/tex]
Given
[tex]log_{4}[/tex] (x + 3) + [tex]log_{4}[/tex] x = 1 , then
[tex]log_{4}[/tex] x(x + 3) = 1
x(x + 3) = [tex]4^{1}[/tex] = 4
x² + 3x = 4 ( subtract 4 from both sides )
x² + 3x - 4 = 0 ← in standard form
(x + 4)(x - 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 4 = 0 ⇒ x = - 4
x - 1 = 0 ⇒ x = 1
However, x > 0 , thus x = 1
select the correct answer
which of these graphs represents a function?
What is the percentage change from 305 to 395
Answer:
29.51%
Step-by-step explanation:
The change from 305 to 395 is the difference between the two numbers. So, it would be 395 - 305 or 90. Now, to find the percentage of change, we need to find what part of the original amount is the change. In other words, we would have to divide 90 by 305. By putting this in a calculator you get about 0.2951. To convert this decimal into a percent, we would multiply by 100 giving us 29.51%.
bài 5: rút gọn
(x +1)^2 – (2x + 1)^2
[tex](x+1)^2-(2x+1)^2=\\\\=(x^2+2\cdot x\cdot1+1^2)-((2x)^2+2\cdot2x\cdot1+1^2)=\\\\=(x^2+2x+1)-(4x^2+4x+1)=\\\\=x^2+2x+1-4x^2-4x-1=\\\\=x^2-4x^2+2x-4x+1-1=\boxed{-3x^2-2x}[/tex]
Show work please
[tex]4 \sqrt{9} [/tex]
Answer:
12
Step-by-step explanation:
[tex]4 \sqrt{9} [/tex]
[tex] \sqrt{9} = \sqrt{ {3}^{2} } = 3[/tex]
[tex]4 \times 3[/tex]
[tex] = 12[/tex]
is 3/8 bigger or smaller than 3/5
3/8 is smaller than 3/5.
3/8 is smaller than 3/5
Find the LCD of both fractions:
Multiples of 8:
8, 16, 24, 32, 40, 48, 56, 64, 72, …
Multiples of 5:
5, 10, 15, 20, 25, 30, 35, 40, 45, …
40 is the LCD of denominators 5 and 8.
Multiply both denominators by a number that makes it 40, multiply that same number by each numerator:
3/8:
3 x 5 = 15
8 x 5 = 40
15/40
3/5:
3 x 8 = 24
5 x 8 = 40
24/40
15/40 < 24/40
Hope this helps
Amela put 15x- 4 gallons of gas in her car at the beginning of the week. She used 7x-3 gallons driving to work. Which of the following choices represents the
number of gallons left in her car?
A) 22x+7
B) 22x-7
C) 8x+1
D) 8x-1
Answer:
D) 8x - 1
Step-by-step explanation:
Let's say that x = 5. That would mean Amelia put 15(5) - 4 gallons of gas in her car, which equals 71 gallons. She used 7(5) - 3 gallons driving to work, which is 32 gallons used. 71 - 32 = 39 gallons left.
What else equals 39, you might ask?
8(5) - 1
40 - 1
39.
Answer:
D is the answer
Step-by-step explanation:
if f(x)=x-4 find the value if f(x)+f(-x)
Answer:
2x
Step-by-step explanation:
f(x) = x -4
Step 1:
y = x - 4
Step 2: Replace y with x
x = y - 4
Step 3: Find y
x + 4 = y
f(-x) = x + 4
f(x) + f(-x) = (x - 4)+ (x + 4) = 2x
-2u+(-1)=-13
---------------
Answer:
Solution given
-2u+(-1)=-13
open bracket
-2u-1=-13
add 1 on both side
-2u-1+1=-13+1
-2u=-12
divide both side by -2
-2u/-2=-12/-2
u=6
[tex]\huge\text{Hey there!}[/tex]
[tex]\textsf{-2u + (-1) = -13}\\\textsf{-2u - 1 = -13}\\\large\text{ADD 1 to BOTH SIDES}\\\textsf{-2u - 1 + 1 = -13 + 1}\\\large\text{CANCEL out: -1 + 1}\\\large\text{KEEP: -13 + 1}\\\rightarrow\textsf{-2u = -12}\\\large\text{DIVIDE -2 to BOTH SIDES}\\\mathsf{\dfrac{-2u}{-2}= \dfrac{-12}{-2}}\\\textsf{CANCEL out: }\mathsf{\dfrac{-2}{-2}}\\\textsf{KEEP: }\mathsf{\dfrac{-12}{-2}}\\\mathsf{u = \dfrac{-12}{-2}}\\\mathsf{u = \bf 6}\\\huge\boxed{\mathsf{Answer: u = 6}}\huge\checkmark[/tex]
[tex]\large\text{Good luck on your assignment and enjoy your day!}\\\\\frak{Amphitrite1040:)}[/tex]
Im bad at money :/ do please help me
The third answer
1 quarter, 6 dimes, 1 nickel, 7 pennies
Are a total of 127 Cars And trucks on a lot. If there. For more than twice the number of trucks, then cars, how many cars and trucks are on the lot?
Answer:
41 cars and 86 trucks
Step-by-step explanation:
C+T=127
2C+4=T
C+(2C+4)=127
3C+4=127
3C=123
C=41When C=41,
41+T=127
T=127-41
T=86
can someone help I need help lol
In a hotel, 40 people occupy excatly 26 rooms. Each room is occupied by either one or two people. How many rooms are occupied by exactly one person?
Explanation:
Let's say that the first 26 people will occupy each of the 26 rooms. This means that, so far, there's one person per room.
There are 40-26 = 14 people left. Let's say those 14 people occupy the first 14 rooms. This means that the first 14 rooms now have 2 people in them per room. The remaining 26-14 = 12 rooms still have one person per room.
0<4K-5k
Can I get some help thanks
Answer:
0>k
Step-by-step explanation:
0<4k-5k
Combine like terms
0<-k
Multiply each side by -1, remembering to flip the inequality
0>k
Aisha wants to paint the wall of the room. She knows that each can of the paint contain one gallon. A half gallon will completetly cover a 55 square feet of wall. Each of the four wall of the room is 10 feet high. Two of the walls are 10 feet wide and two of the walls are 15 ft wide. How many one gallons buckets of paint does aisha need to buyin order to paint the room ?
Answer:
It doesn't say what to do with that 0.1 of a gallon. I would buy another gallon or dilute what I had so it came to exactly 9.1 gallons. In math, I suppose the answer is 9.
In reality it would be 10.
You have to choose. What has been done with other questions like this.
Step-by-step explanation:
1 can covers 55 square feet.
h = 10
w1 = 10 feet
w2 = 10 feet
w3 = 15 feet
w4 = 15 feet
Total area = Area of wall 1 + wall 2 + wall 3 + wall 4
Total area = 10*10 + 10*10 + 10*15 + 10* 15
Total area = 100 + 100 + 150 + 150
Total area = 500 feet^2
1 gallon / 55 ft^2 = x / 500 ft^2 Cross multiply
55 * x = 500 Divide by 55
x = 500/55
x = 9.1 gallons.
In real life you would buy another gallon.
1. How much interest
will Hannah earn in 4 years if she
deposits $630 in a savings account at
6.5% simple interest?
Answer:
$163.8 more.
Step-by-step explanation:
Let's use the formula Principle × Rate × Time, or PRT to find our simple interest. Let's fill in the blanks. Our principle is $630. Our rate is 6.5% and our time is 4 years. Next, we multiply all this. $630 × 13/200 × 4. Our answer would be 163.8. I hoped this helped.
A student’s incorrect attempt to simplify an exponential expression is show in the box
What is his mistake!!!!!
Answer:
A
Step-by-step explanation:
x^a/x^b=x^(a-b). General rule of exponents
We can calculate the volume V of a rectangular prism using V = lwh, where l is the length, w is the width, and h is the height of the
prism. Suppose that a prism has a volume of 200 cm and l = 2w.
a. Select all of the equations that rewrite the volume formula by making substitutions for V and l.
200 = 2w²h
200 = 4wh
V = 22
2w xwxh = 200
Answer:
Step-by-step explanation:
200=2w²h
The equations are -
200 = 2[tex]w^{2}[/tex]h
2w x w x h = 200
We have a prism and the formula to calculate its volume is given.
We have to select all of the equations that rewrite the volume formula by making substitutions for V = 200 cubic centimeter and L = 2w.
What is Prism ?A Prism is a three-dimensional shape, which consists of two identical polygons, which do not lie in the same axis.
According to the question, we have -
Volume of Prism = 200 cubic centimeter
L = 2w
The formula to calculate the volume of prism equals to -
V = Lwh
Substituting values, we get -
200 = 2[tex]w^{2}[/tex]h
or
2w x w x h = 200
Hence, the equations are -
200 = 2[tex]w^{2}[/tex]h
2w x w x h = 200
To solve more questions on prism, visit the link below-
https://brainly.com/question/17619973
#SPJ2
If the average annual CPI of a career goes from 124.0 to 130.7 what is the inflation rate (don't forget to put % in your answer).
Answer:
(new-old)/old * 100%
130.7-124/124 = .054 = 5.4%
Step-by-step explanation:
Evaluate –3² + (2 – 6)(10).
Answer:
-49
Step-by-step explanation:
Y=DB-3 solve for d. These equations are still tricky for me.
How tall are redwood trees? ( statistical not statistical
Answer:
It's a statistical question.
and there between 250-300 feet.
for the math experts again!
Answer:
985
Step-by-step explanation:
The absolute value of a number is its distance from 0. This means a number would be itself if it was positive and if it was negative it would be its opposite. Since 985 is positive, |985| would just be 985.
سر
.
A particular satellite is 15 m wide. A model
of it was built with a scale of 1 cm: 5 m.
How wide is the model?
Answer:
3cm
Step-by-step explanation:
A particular satellite is 15 m wide
Model of it was built with a scale of 1 cm: 5 m
=> scale of the model will be: 1/500cm and A particular satellite is 1500 cm wide
=>1500*1/500=3(cm)
How many cups of 15% juice
must be added to 10 cups of
20% juice so that the mixture is
17% juice?
Answer:
15 cupsStep-by-step explanation:
20% of juice has:
10*0.2 = 2 cups of extractIf x cups of juice added we'll have:
2 + x*0.15 = 0.17(10 + x)2 + 0.15x = 1.7 + 0.17x0.17x - 0.15x = 2 - 1.70.02x = 0.3x = 0.3/0.02x = 15Find the value of ab when a=1/10 and b=7/10
Answer:
7/100
Step-by-step explanation:
ab = (a) x (b) = (1/10) x (7/10) = 7/100
Is this right answer??
Unit 1 : Algebra basics Homework 1: the real numbers
Real numbers may be explained as all set of numbers which may be used for counting, fractions or decimals. Real numbers may be any set of natural, whole, integer, rational or irrational numbers.
• NATURAL NUMBERS which are all set of positive whole numbers from 1. Examples : (1, 3, 5, 8, 100)
• WHOLE NUMBER are set of all natural numbers .while numbers also include the value value (0, 1, 200, 500) are whole numbers
• INTEGERS : include all positive and negative natural or whole number values. They include (-1, - 10, 10, 5)
• RATIONAL numbers are real numbers which can be expressed in the form m/n where both m and n are integer values and the denominator, n ≠ 0 Examples : (1/2, 0.9, 10/1, √4, 3.5)
• IRRATIONAL numbers are real numbers which are not integer values and cannot be expressed in the form m/n Non-terminating and non-repeating decimal numbers are IRRATIONAL numbers. (√3, 1.43136..., 1.4141..., π)
Learn about similar question on : brainly.com/question/5305024
need help on calculus
Answer: 3
Step-by-step explanation:
Solve the x 2/3x +5 1/2 = -10
Answer:
x = 2/3x + 5 1/2 = -10 = x = -93/4
Step-by-step explanation:
Meryl needs to add enough water to 11 gallons of an 18% detergent solution to make a 12% detergent solution. Which equation can she use to find g, the number of gallons of water she should add?
Original
(Gallons)
Added
(Gallons)
New
(Gallons)
Amount of Detergent
1.98
0
Amount of Solution
11
g
StartFraction 1.98 Over 11 + g EndFraction minus StartFraction 12 Over 100 EndFraction = 1
StartFraction 1.98 Over 11 + g EndFraction + StartFraction 12 Over 100 EndFraction = 1
StartFraction 11 + g Over 1.98 EndFraction = StartFraction 12 Over 100 EndFraction
StartFraction 1.98 Over 11 + g EndFraction = StartFraction 12 Over 100 EndFraction
Answer:
its A
Step-by-step explanation:
i took the quiz :)
Answer:
B on edge 2022
Step-by-step explanation:
