By "state the universe" I suppose you mean "domain". log₂(x ² + 3x + 2) is defined for
x ² + 3x + 2 = (x + 1) (x + 2) > 0 → x < -2 or x > -1
(To solve the inequality, consider values of x between the ones that make the expression exactly equal to 0, in this case x = -2 and x = -1. We have, for instance, for x = -3, that (-3)² + 3(-3) + 2 = 2 > 0, so x ² + 3x + 2 > 0 for all x < -2.)
Now solve the equation: Write both sides as powers of 2 to eliminate the logarithm on the left:
[tex]\log_2(x^2+3x+2)=1\implies 2^{\log_2(x^2+3x+2)}=2^1\implies x^2+3x+2=2[/tex]
Solve the remaining quadratic:
x ² + 3x + 2 = 2
x ² + 3x = 0
x (x + 3) = 0
x = 0 or x = -3
Both of these solutions are within the presribed domain (-3 < -2 and 0 > -1), so we're done.
Systems of equation:substitution
The 2 problems in here i need done by 11:00pm est
8:00pm pst
Step-by-step explanation:
8)
describe y in terms of x
y=5+x
so now replace y with terms of x
5+x+3x=37
4x=32
x=8
y=13
9)
do the same here
x=y+1
2y+x=19
2y+y+1=19
3y=18
x=6
y=7
HELP WHAT PERCENT IS THE SALES TAX????
Answer:
first one is 6 cents(6 percent) second one 14 cents (14%)
Step-by-step explanation:
is just didviding them
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Answer:
yeah i know the secret codeto Sy evvceryvcx evtrtyev ivyreviqvvt. qut
Step-by-step explanation:
PLEASE MARK BRAINLIEST!!!!!!!!!!!!!!!!!!!!walk if it walks at a constant pace for 15
minutes. At the same rate, how many
kilometers can the tortoise walk in 1 hour?
Write your answer as a decimal.
Minutes H
0
+
15
Meters H
400
PLEASE HELP ME TODAY
Answer: 4.00
Step-by-step explanation: There are 60 minutes in 1 hour. So, 60/15 gives you your answer. 60/15 = 4, but it says write it as a decimal. So, your answer will be 4.00.
find x to the nearest tenth
Answer:
x = 18.0
Step-by-step explanation:
You must memorize the definitions of the trig functions and then these types of problems are easy.
In your problem, sin of an angle = opposite side/hypotenuse
So, sin 51 = 14/x
x sin 51 = 14
x = 14/sin 51 = 18.0
The length of the diogonals of a rectangular garden is 34m. If it's longer side measures 30m, find the perimeter of garden.
Answer:
92 m
Step-by-step explanation:
Use the Pythagorean theorem to find the length of the shorter side.
Let w = length of the shorter side.
[tex]w^{2} + 30^{2} = 34^{2} \\ w^{2} + 900 = 1156\\w^{2} = 256\\w = \sqrt{256} = 16[/tex]
The perimeter is 2l + 2w = 2(30) + 2(16) = 60 + 32 = 92 m
-8, 22, 52, 82, ...
Find a 20
Answer:
Step-by-step explanation:
It is an arithmetic sequence with common difference d = 30.
a₂₀ = a₁ + (20-1)d = -8 + 19·30 = 562
Subtract and simplify. plz show all work!
(−5y^2 − 9y− 4) − (−2y^2 − y + 8)
What is the measure of the missing angle
Answer:
45 degrees xxxxxxxxxx
Step-by-step explanation:
simple geo
Is 1.5 a solution to 2x- 19 = −4−8x?
Answer:
yes
Step-by-step explanation:
overheads are added to the?
Answer:" In business, overhead or overhead expense refers to an ongoing expense of operating a business. Overheads are the expenditure which cannot be conveniently traced to or identified with any particular cost unit, unlike operating expenses such as raw material and labor." as said by wiki
Step-by-step explanation:
how do i convert 84 3/4 percent into a decimal.
Answer:
84 3/4% = 0.8475
4 2/3 - 3 1/8
Leave your answer as a mixed fraction
Answer:
Here.is the answer.
Step-by-step explanation:
Hope it helps.....
Tell which equation you would choose to solve for one of the variables. Explain.
x+ 4y = 30
x – 2y = 0
Answer:
i would choose to solve x+2y=0 because it is simple and ez
Step-by-step explanation:
i took test and got 100 % brainliest plz
You have 5 3/4 cups of sunflower seeds and 1 1/4 cups of peanuts for birdseed. You use 2/3 of the total mixture each week. How many weeks your birdseed mixture last
Answer:
Step-by-step explanation:
The bird food lasts 1½ weeks.
Your birdseed mixture last till 10 and a half weeks.
What is an improper fraction?A fraction that has the numerator higher than or equal to the denominator is said to be an improper fraction.
Given:
You have 5[tex]\frac{3}{4}[/tex] cups of sunflower seeds and 1[tex]\frac{1}{4}[/tex] cups of peanuts for birdseed.
The total mixture,
= 5[tex]\frac{3}{4}[/tex] + 1[tex]\frac{1}{4}[/tex]
= 23/4 + 5/4
= 28/4
= 7 cups.
You use 2/3 of the total mixture each week.
That means,
the number of weeks,
= 7 x 3/2
= 21/2
= 10.5 weeks.
Therefore, the mixture will last till 10 and a half weeks.
To learn more about the improper fraction;
brainly.com/question/21449807
#SPJ2
somebody help I need your help
Answer:
a
Step-by-step explanation:
sorry if im wrong
Answer:
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Step-by-step explanation:dvbvgfdsxdcfvfcdsdxc
the tiles on cathy's bathroom floor are square shaped and each tile covers an area of 90 square inches. simplify an expression to represent the side length of each tile.
Answer:
[tex]\huge\boxed{\sf L = 3\sqrt{10} }[/tex]
Step-by-step explanation:
Area of a square tile = 90 square inches
Let the side length of tile be "L"
Condition:
Area = 90
L * L = 90
L² = 90
Taking sqrt on both sides
L = √90
L = 3√10
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807
Sales tax in Rally County is 8%. What would the amount of tax be on a $50 restaurant bill? Express your answer in the form of a decimal
1+1
(You don't have to answer its for talking)
Answer:
Step-by-step explanation:
1 +1 = 2 g a y n i g g a s
Which statement is true about the following pair of rectangles?
Two rectangles are shown. To the left, a larger rectangle has a lower side labeled 60 centimeters and a left side labeled 30 centimeters. To the right, a smaller rectangle has an upper side labeled 6 centimeters and a right side labeled 3 centimeters.
A. They are not similar because Start Fraction 6 over 60 End Fraction≠ Start Fraction 30 over 3 End Fraction.
B. They are not similar because Start Fraction 30 over 3 End Fraction = Start Fraction 60 over 6 End Fraction.
C. They are not similar because Start Fraction 3 over 6 End Fraction ≠ Start Fraction 30 over 60 End Fraction.
D. They are similar because Start Fraction 3 over 6 End Fraction = Start Fraction 30 over 60 End Fraction.
Answer:
probably D
Step-by-step explanation:
Help me please with this math question
19. Macy bought new tires for her car. She chose tires that cost $73 each. However, the tire store was offering a Buy 3Get 1 Free Sale. After this special sale, she had to pay % sales tax . What was , Macy's final cost for all 4 tires?
Answer:
$219 without tax
Step-by-step explanation:
im not sure how to calculate tax
hope this helps :)
Plz, answer this question plz!
Answer:
The answer is
F: 362,880
Step-by-step explanation:
9 X 8 X 7 X 6 X 5 X 4 X 3 X 2 X 1
You multiply 9 all the way back to 1 giving you the answer of 362,880
20 POINTS AND BRAINIEST!
You want to sell lemonade by the park. Different brands of lemonade have different formulas. You want to sell the lemonade that tastes the most “lemony.” You use 4 cups of lemon concentrate and 6 cups of water.
What fraction of the TOTAL mixture is lemon concentrate? What percentage is this?
Answer:
4/10
Step-by-step explanation:
you add the amount of cups of concentrated lemon plus the amount of water and it is 10. and then it asks for the faction of lemon concentrate out of 10. so it would be 4/10
Hope this helps!!
4 + 5x-x + 19 simplify expressions using like terms
When spinning a ten-number spinner (with numbers 1-10), what are the odds of the arrow landing on 8?
Will give brainiest to correct answer
20a + 32
Answer:
wouldn't it just be the same? It would still be 20a+32
Answer:
4(5a+8)
Step-by-step explanation:
Factor 20a+32
20a+32
=4(5a+8)
Reflections, Rotations, and Translations give two congruent shapes (The Image and Pre-Image)
True
O False
what is the value of x ?
Answer:
10
Step-by-step explanation:
What is the area of the trapezoid?
Answer:
108
Step-by-step explanation:
b1+b2/2×h
so 12+15/2×8
12+15=27
27÷2=13.5
13.5×8=108
108 is the answer