The correct factorization would be equal to [tex](a^2 - 3)(a^2 - 3)[/tex].
To express the expression [tex]a^4 - 3a^2 + 9[/tex] as a product of two monic quadratics with integer coefficients, we can start by factoring it using the difference of squares formula. Let's break it down step by step:
[tex]a^4 - 3a^2 + 9[/tex]
We can rewrite the expression as:
[tex](a^2)^2 - 3(a^2) + 3^2[/tex]
Now, the difference of squares formula:
[tex](a^2 - 3)^2[/tex]
So, the expression can be factored as the square of the binomial [tex](a^2 - 3)[/tex].
Therefore, the correct factorization is [tex](a^2 - 3)(a^2 - 3)[/tex].
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Find the length of segment TS
Answer:
By the midpoint theorem,
[tex]2ST = XY\\or, 2(x+15) = x+21\\or, 2x+30 = x+21\\or, x = 21-30\\or, x = -9cm\\So, TS = x+15 = -9+15 = 6cm[/tex]
determine the slope between the two points
(-2,9) and (1,6) PLS I WILL GIVE BRAINIEST!!
Answer:
The slope between the two given point is -1
Step-by-step explanation:
The rule of the slope between two points (x1, y1) and (x2, y2) is
m = [tex]\frac{y2-y1}{x2-x1}[/tex]
Let us use this rule to solve the question
∵ The given points are (-2, 9) and (1, 6)
∴ x1 = -2 and y1 = 9
∴ x2 = 1 and y2 = 6
→ Substitute them in the rule of the slope above
∵ m = [tex]\frac{6-9}{1--2}[/tex]
→ Remember (-)(-) = (+)
∴ m = [tex]\frac{-3}{1+2}[/tex]
∴ m = [tex]\frac{-3}{3}[/tex]
→ Divide up by down
∴ m = -1
∴ The slope between the two given point is -1
need help pictures below
Dice will be 3 times
3/11 chance of red
H on the jackson one
A on the one about jace
Anyone know this if not that’s ok :)
Answer:
First and last options are correct answers
Step-by-step explanation:
domain: [tex] x\geqslant 0[/tex] because number of minutes can not be negative.
range: [tex] y\geqslant 20[/tex] because 20 is the least possible y- value for 0 minutes.
Answer:
...
Step-by-step explanation:
brainliest. follow anything . box of chocolates contains seven milk chocolates and six dark chocolates. Five of the milk chocolates and four of the dark chocolates have peanuts inside. You randomly select a chocolate and eat it. What is the probability it is a dark chocolate with peanuts?
options=2/3, 4/13, 11/13 and 8/13
Answer: 4/13
Step-by-step explanation: There are a total of 13 chocolates, and 4 of those are dark chocolate with peanuts.
Probability that the chocolate you eat is a dark chocolate with peanuts is 4/13.
What is Probability?Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.
The value of probability will be always in the range from 0 to 1.
Given that,
Total number of milk chocolates = 7
Total number of dark chocolates = 6
Number of milk chocolates that have peanuts inside = 5
Number of dark chocolates that have peanuts inside = 4
Total number of chocolates = 7 + 6 = 13
Probability that the randomly selected chocolate is a dark chocolate with peanuts = 4/13
Hence the required probability is 4/13.
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600 students attend Ridgewood Junior High School. 4% of students bring their lunch to school everyday. How many students brought their lunch to school on Thursday?
Answer:
24
Step-by-step explanation:
4% of 600 is 24
hope this helps
Which rectangles are similar?
Answer:
It should be 1 and 3, but for it to be perfectly correct, it should be 17.6 and not 17.4
the answer is 1 and 3. since it isn't exact.
Write the following using algebraic notation, using the letter x for any unknown numbers:
i think of a number, halve it, then subtract four.
Answer:
1/2x-4
Step-by-step explanation:
Since we don't know the number (unknown) we simplify it as a variable, x.
Then since you're taking half of x, place 1/2 next to x. Finally subtract 4, and it concludes to 1/2x-4.
Jeffrey went to the Outlets to buy some clothes. He bought a pair of pants for $59.99 and a nice shirt for $32.00. He read a sign saying that he would receive 30% off for all purchases. How much did Jeffrey spend?
Answer: 64.39 dollars
==========================================================
Explanation:
Before the discount, he would spend 59.99+32 = 91.99 dollars. This is before sales tax is added.
However, he gets 30% off, so he saves 0.30*91.99 = 27.597 = 27.60 dollars.
Meaning that he actually spends 91.99 - 27.60 = 64.39 dollars
--------------
As a shortcut, we can multiply 91.99 by 0.70 to get 64.393 which rounds to 64.39
The 0.70 is due to the fact that if he saves 30%, then he still has to pay the remaining 70%
Keep in mind that sales tax would need to be added on; however, your teacher doesn't mention the sales tax rate.
Which expression shows the quotient of a number n and 4?
a.4n
b.n-4
c.n÷4
d.n+4
Answer:
Is C.n/4
Step-by-step explanation:
A quotient is a answer to a division problem therefor the answer would be C
Step-by-step explanation: The word quotient means division.
So the quotient of a number and 4 means n ÷ 4.
I need some help on this, solution ?
Answer:
Step-by-step explanation:
180°(n - 2)
180°(5 - 2) = 540°
540° - (112° + 98° + 110° + 118°) = 102°
q = 28°
r = 32°
s = 78°
t = 118°
u = 50°
The area of the rectangle is 34 square meters. Find the length and the width.
(x-4) meters
(x+11) meters
Answer:
2 and 17
Step-by-step explanation:
34=(x-4)(x+11)
34=[tex]x^{2} \\[/tex]+7x-44
x^2 +7x -78=0
x=6
6-4=2
6+11=17
1. Find speed when, distance is 142 km and time is 2 hours.
Answer:
BROO IS THAT RM FOR YOUR PFP?!
Step-by-step explanation:
Maria and Veronica were asked to add two whole numbers. Instead, Maria subtracted the two numbers and got 10 while Veronica multiplied them and got 651. What was the correct sum
Answer:
31 + 21 = 52
Step-by-step explanation:
Calculation for the correct sum
First step is to factor 651 which means that 1 * 3 * 7 * 31 will give us 651
Second step is to find 3 possibilities numbers that will give us 10 as the difference
3 possibilities numbers =(31, 21), (93, 7), (217, 3)
Third step is to make use of equation 1 to find the numbers that has 10 as the difference among the 3 possibilities numbers
The number that has 10 as the difference is (31, 21) because 31-21 will gives us 10
Now Equation 1 = X – Y = 10
Where,
X=31
Y=21
Hence,
31 – 21 = 10
Since 31 – 21 gave us 10 as the difference which means that the correct sum will be:
Correct sum =31 + 21 = 52
Therefore the Correct sum is 31 + 21 = 52
Can anybody help me with these two !
Don’t answer if you do not know please
I’ll mark you as a brainliest:) .
Answer:
Step-by-step explanation:
a) Since we know that y=x^3, we can plug the values in
They would be: (-2)^3, (-1)^3, (0)^3, (1)^3, and 2^(3)
Which would be -8, -1, 0, 1, and 8
b) since we know that y=x, we can plug the values in
They would be -2, -1, 0, 1, and 2 because x = y
Hope this helps! :)
Answer:
y=x^3 -2,-8, -1,-1 0,0 1,1 2,8
y=x -2,-2 -1,-1 0,0 1,1 2,2
Step-by-step explanation:
what expression is equivalent to 5-3(6x+2)
Answer: −18x-1
Step-by-step explanation: Hope this helps
in a game using two dice, a person wins if the outcome is a prime number. Find the probability of winning.
Answer:
45% I think because prime numbers are 5/ the 11 possible numbers when rolling two die
what is the probability of spinning a 6 and flipping tails?
Answer:
76% is the chance of it going tails after flipping 6 times
Is your grade level (9th, 10th, etc.) independent of your height? Why or why not? Type your answer below.
Hey there!
The answer is yes, because it does not depend on your height, because you can be any height in any grade (well, maybe not ANY height, because you can't be, like, 100 feet, or 1 inch, but you get the point...).
Hope it helps and have a great day!
A 9-kilogram bag of cement costs $36.36. What is the unit price?
per kilogram
Answer:
$4.04 per kilogram of cement.
Step-by-step explanation:
36.36/9 = 4.04
Elena got on 25 of her mom's nerves. Later, she gets on 7 more. How many nerves of her mother did Elena trigger?
Answer:
the last one lol- thats just how it works
Find the original price of a pair of gloves that is $16 after a 20% discount.
Step-by-step explanation:
16 = 20% to get to 80% we need to times by 4 so it adds up to 100%
64=80%
the orginal price was 64 dollars
Need help, describe in parts
Answer:
Step-by-step explanation:
1a= 6/14=3/7
1b= 5/18
2= 1/2 of 7/8=1/2 x 7/8=7/16
PLEASE ANSWER FAST
Zina borrows $560 at 0.3% interest compounded monthly
When Zina pays the loan back 8 months later, how much
interest does Zina pay?
A. $573.58
B. $13.58
C. $13.44
D. $1133.58
The answer is in the picture. Let me know if you have any questions.
8 + 12 = 12 +8*
O Commutative Property
O Associative Property
O Distributive Property
O Identity Property
Which answer is it?
Answer:
The answer is communtative property
Step-by-step explanation:
Changing the order of the addends doesn't affect the sum
help a g out plz I’ll give a brainliest ♀️
Answer:
(c-a,b)
Step-by-step explanation:
Bottom of shape is equal to 4a, or c.
R is to be located at (3a, b)
c-a=3a, ∴r: (c-a,b)
How much do you need to sustract from 83/10 to 8
Answer:
[tex]\frac{3}{8}[/tex]
Step-by-step explanation:
Subtraction refers to an arithmetic operation that represents the operation of eliminating objects from a collection. Subtraction is meant by the minus sign.
Let [tex]x[/tex] be subtracted from [tex]\frac{83}{10}[/tex] to get [tex]8[/tex].
[tex]\frac{83}{10}-x=8\\\\x=\frac{83}{10}-8\\\\x=\frac{83-80}{8}\\\\x=\frac{3}{8}[/tex]
Therefore, [tex]\frac{3}{8}[/tex] should be subtracted from [tex]\frac{83}{10}[/tex] to get [tex]8[/tex].
Which shows -3.72 as a rational number in the form abab?
A.-93/25
B.-57/25
C.-79/25
D. -54/25
Answer:
-3.72 is rational because it ends at the hundredths place
Step-by-step explanation:
Rational. A rational number either terminates at a point or repeats in a pattern forever.
-7x +5 (1 - 8x)
Please help with this problem
At the start of summer, Crater Lake 1 1/4 inches below normal. By the end of summer, it had decreased an additional 2 3/8 inches. What is it's new level?
Answer: 3 5/8 below normal
Step-by-step explanation:
From the question, we are informed that Crater Lake is 1 1/4 inches below normal and that by the end of summer, it had decreased an additional 2 3/8 inches.
The new level will be:
= 1 1/4 + 2 3/8
= 1 2/8 + 2 3/8
= 3 5/8 below normal