Answer:
The simplified expression is given as
[tex]8x^2y^4(17x^2-2)[/tex]
Step-by-step explanation:
step one:
Given the expression
[tex]x^2y^4(x^2 - 16) - 9y^4(x^4 - 16)[/tex]
step two:
First, let us open the bracket we have
[tex]x^2y^4(x^2 - 16) - 9y^4(x^4 - 16)\\\\x^4y^4-16x^2y^4-9x^4y^4+144x^4y^4\\\\[/tex]
step three:
collect like terms we have
[tex]x^4y^4-16x^2y^4-9x^4y^4+144x^4y^4\\\\x^4y^4-9x^4y^4+144x^4y^4-16x^2y^4\\\\-8x^4y^4+144x^4y^4-16x^2y^4\\\\136x^4y^4-16x^2y^4\\\\\\[/tex]
step four:
we can now factor out [tex]8x^2y^4[/tex]we have
[tex]8x^2y^4(17x^2-2)[/tex]
the length of a rectangle is 3 in. more than its width. The perimeter of the rectangle is 30 in. Find the length and width of the rectangle
Answer:
Length=9, Width=6
Step-by-step explanation:
First, you need to find out which two number have a difference of 3. Then, you will find the numbers that add up to 30. You know that, if you add 7+7+10+10, it’ll be 34, so if you try 6+6+9+9, the answer will be 30. So your final answer is length=9, and width=6.
100
Ave. High
Ave. Low
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Using the bar graph from above to answer the following questions:
a) What is the average monthly low temperature for Bogusville?
∘
F
b) What is the average monthly high temperature for Bogusville?
∘
F
c) What is the average monthly high temperature for Bogusville during the fourth quarter of the year?
∘
F
d) What is the average monthly low temperature for Bogusville during the fourth quarter of the year?
Select the correct answer.
What is the justification for step 2 in the solution process?
12y − 40 − 4y = 6y − 18
Step 1: 8y − 40 = 6y − 18
Step 2: 2y − 40 = -18
A.
the subtraction property of equality
B.
the division property of equality
C.
the addition property of equality
D.
the multiplication property of equality
Answer:A.
the subtraction property of equality
Step-by-step explanation:
Tell whether the two ratios are proportional or not proportional 3/7=6/9
Graph Y equals -5/6x -4
Step-by-step explanation:
y = -5/6x - 4
(0,-4) is the y intercept
the slope is -5/6, it descends 5 and goes 6 horizontally.
What is the constant of proportionality for this table?
d C
2 6.28
3 9.42
5 15.7
10 31.4
Answer:
C
Step-by-step explanation:
In his garden tim plants the seed 5 1/4 in. below the ground. After one month the tomato plant has grown a total of 11 1/2 in. How many inches is the plant above the ground?
Answer:
6 1/4
Step-by-step explanation:
On Saturday, Nikki and Tyler walked to the local farmer’s market. Nikki bought 8 apples for $6. Tyler bought 3 fewer apples than Nikki. How much did Tyler spend on apples?
$
Answer:
$3.75
Step-by-step explanation:
Answer:
The answer is $3.75
Step-by-step explanation:
I just answered the question on ed.
Micah found the vertex for the function y= -9.5x? 47.5x+ 63 as shown. Find and correct Micah's error. Explain the error?
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete as Micah's workings is not attached. So, there's no way to determine where Micah's error is.
However, I'll solve for the vertex of the given function.
Given
[tex]y = -9.5x^2 + 47.5x + 63[/tex]
Vertex, V is of the form:
[tex]V= (h,k)[/tex]
Where
[tex]h = -\frac{b}{2a}[/tex]
and
[tex]k = f(h)[/tex]
Solving for h:
[tex]y = -9.5x^2 + 47.5x + 63[/tex]
[tex]y = ax^2 + bx + c[/tex]
So:
[tex]a = -9.5[/tex]
[tex]b = 47.5[/tex]
[tex]c = 63[/tex]
[tex]h = -\frac{b}{2a}[/tex]
[tex]h = -\frac{47.5}{2 * -9.5}[/tex]
[tex]h = -\frac{47.5}{-19}[/tex]
[tex]h = \frac{47.5}{19}[/tex]
[tex]h = 2.5[/tex]
Solving for k
[tex]k = f(h)[/tex]
[tex]k = f(2.5)[/tex]
Substitute 2.5 for x in [tex]y = -9.5x^2 + 47.5x + 63[/tex]
[tex]k = -9.5 * 2.5^2 + 47.5* 2.5 + 63[/tex]
[tex]k = -59.375+ 118.75 + 63[/tex]
[tex]k = 122.375[/tex]
Hence:
The vertex is
[tex]V = (2.5,122.375)[/tex]
Answer:
if ur doing savvas
Step-by-step explanation:
answer for the first one is:
Micah used the wrong sign for b in the formula x=-b/2a
answer for the second one is:
vertex is = (-2.5, 122.375)
Dexter read 11 science fiction books and 5 history books. Lena read 9 science fiction books and 4 history books. Compare the students' ratios of science fiction books to history books. 1. Determine the ratios' form: science fiction books to history books 2. Write the ratios as fractions: Dexter: 11 5 ; Lena: 9 4 3. Rewrite with a common denominator. 4. Compare. 5. Answer the question. Determine which shows the correct comparison of the ratios for this problem.
Answer:
1. [tex]Dexter = 11:5[/tex] [tex]Lena = 9:4[/tex]
2. [tex]Dexter = \frac{11}{5}[/tex] [tex]Lena = \frac{9}{4}[/tex]
3. [tex]Dexter = \frac{44}{20}[/tex] [tex]Lena = \frac{45}{20}[/tex]
4. [tex]\frac{45}{20} > \frac{44}{20}[/tex]
Step-by-step explanation:
Given
Dexter
[tex]Science\ Fiction = 11[/tex]
[tex]History = 5[/tex]
Lena
[tex]Science\ Fiction = 9[/tex]
[tex]History = 4[/tex]
Solving (1): Write as ratio
Represent Science Fiction with S and History with H
For Dexter;
[tex]Ratio = S : H[/tex]
[tex]Dexter = 11:5[/tex]
[tex]Lena = 9:4[/tex]
Solving (2): Write ratio as fraction
[tex]Fraction = \frac{S}{H}[/tex]
[tex]Dexter = \frac{11}{5}[/tex]
[tex]Lena = \frac{9}{4}[/tex]
Solving (3): Write as a common denominator
[tex]Dexter = \frac{11}{5}[/tex]
Multiply by [tex]\frac{4}{4}[/tex]
[tex]Dexter = \frac{11}{5} * \frac{4}{4}[/tex]
[tex]Dexter = \frac{44}{20}[/tex]
[tex]Lena = \frac{9}{4}[/tex]
Multiply by [tex]\frac{5}{5}[/tex]
[tex]Lena = \frac{9}{4} * \frac{5}{5}[/tex]
[tex]Lena = \frac{45}{20}[/tex]
Solving (4): Compare both fractions
By comparison;
[tex]\frac{45}{20}[/tex] is greater than [tex]\frac{44}{20}[/tex]
So, we have:
[tex]\frac{45}{20} > \frac{44}{20}[/tex]
Answer:
d
Step-by-step explanation:
Answer please nowwwwwwwwwwwwwww
Answer:
25.25
Step-by-step explanation:
i think im not so sure :/
Answer:
25 [tex]\frac{5}{11}[/tex]
Step-by-step explanation:
This is the answer because:
1) You have to convert 3 [tex]\frac{7}{11}[/tex] to an improper fraction. You can do this by multiplying 11 and 3 (the denominator and the whole number) then add 7 (the numerator). This equals to [tex]\frac{40}{11}[/tex].
2) [tex]\frac{40}{11}[/tex] x [tex]\frac{7}{1}[/tex] = [tex]\frac{280}{11}[/tex]
3) Finally. convert [tex]\frac{280}{11}[/tex] to an mixed fraction which is 25 [tex]\frac{5}{11}[/tex]
Therefore, the answer is 25 [tex]\frac{5}{11}[/tex]
Hope this helps! :D
How much less is -2 than 3
Answer: 5
Step-by-step explanation: yes count up
9 - 3 divided by 1/3 + 1 = ?
Answer:
1
Step-by-step explanation:
CAN SOMEONE PLS HELP WITH THIS!!
Answer:
4/5
Step-by-step explanation:
{(2/5) / (1/2)} ×1
= (2/5)÷(1/2)
= 2/5×2/1
= 4/5
Answer:
4/5
Step-by-step explanation:
Because if it can eat 2/5's in 1/2 hours, then if it eats for 1 whole hour or 2/2's it will be able to eat 4/5's of it's own body weight.
Just imagine that one half hour is 1 and if you add two half hours together it makes one complete hour or 2/2. So just multiply it by 2 cause it was eating for two half hours.
[tex]\frac{2}{5} * 1=2/5\\\frac{2}{5} *2=4/5[/tex]
One leg of a 45°-45°-90° triangle is 3.
Find the length of the hypotenuse.
PLEASE HELP ME
I really really really need help
Answer:
c
Step-by-step explanation:
At grocery mart,apples are on sale 6 apples for $3.54. find the unit cost?
Answer:
$.59 per apple
Step-by-step explanation:
The unit cost is the price divided by the number of items
3.54 / 6
.59
$.59 per apple
Answer:
0.59 or .59
Step-by-step explanation:
3.54 divided by 6
I NEED HELP RIGHT NOW!!
Jenine is twice as old as her brother Mark. If the sum of their ages is 24, How hole is Jenine?
Ernest works in the shipping department at Wal-Mart. Each
Empty crate weighs 150 lbs. How many boxes, each weighing 35
lbs. can Ernest put in the crate if the total weight is to be at most 850
Ibs?
The table lists the number of students from Windy Brook Middle School at the state fair. What is the ratio of sixth graders to the total number of students at the fair?
5th grade=6
6th grade=4
7th grade=5
8th grade=3
Answer:
2 : 9
Step-by-step explanation:
First find the total number
6+4+5+3 = 18
6th graders : total
4 : 18
Divide each side by 2
4/2: 18/2
2 : 9
If a = 3 and b = -1, find the value of the following expression.
Answer:
The required answer is 54.
Step-by-step explanation:
Given that a = 3 and b = (-1) . And we have to find the value of 2a³ b⁴ .
In such kind of problems , just substitute the given values of a and b to get the required answer .
So here ,
= 2a³ b⁴.
= 2 × (3)³ × (-1)⁴.
= 2 × 27 × 1 .
= 54
9Answer:
54
Step-by-step explanation:
2(3)^3 x (-1)^4
2 x (3^3) x 1
2 x 27 x 1
54
there are some coloured pins in a bag
Answer:
Green is 0.3, Yellow is 0.1
There are 12 green pins in the bag
Step-by-step explanation:
The probability is the ratio between the possible outcomes over the total outcomes
The value of the probability of possible outcomes is greater than 0 and smaller than 1 (0 < P < 1)The sum of the probabilities of all outcomes must equal 1∵ A bag contains some green, yellow, purple and grey pins
∵ The probability of picking a purple pin P(purple) = 0.35
∵ The probability of picking a grey pin P(grey) = 0.25
→ The total of all possible outcomes is 1
∴ The sum of the probability of green and yellow pins = 1 - 0.35 - 0.25
∴ The sum of the probability of green and yellow pins = 0.4
∴ P(green) + P(yellow) = 0.4 ⇒ (1)
∵ The probability of picking a green pin is 3 times the probability
of picking a yellow pin
∴ P(green) = 3 P(yellow) ⇒ (2)
→ Substitute (2) in (1)
∴ 3 P(yellow) + P(yellow) = 0.4
∴ 4 P(yellow) = 0.4
→ Divide both sides by 4
∴ P(yellow) = 0.1
∴ The probability of picking a yellow pin is 0.1
→ Substitute P(yellow) in (20 by 0.1
∴ P(green) = 3(0.1)
∴ P(green) = 0.3
∴ The probability of picking a green pin is 0.3
∴ Green = 0.3, Yellow = 0.1
∵ There are 14 purple pins in the bag
∵ P(purple) = 0.35
∴ 0.35 of purple pins = 14
→ To find the total number of pins in the bag divide 14 by 0.35
∴ The total number of pins = 14 ÷ 0.35
∴ The total number of pins = 40 pins
∵ P(green) = 0.3
∴ The number of green pins = 0.3 × 40
∴ The number of green pins = 12 pins
∴ There are 12 green pins in the bag
I really need help. pls help
What congruent triangles have in common with similar triangles is that ....
What the main difference between congruent triangles and similar triangles is that ....
I'm stuck brainliest to the first CORRECT ANSWER
Answer:
7.74 feet (approximate is 8 feet)
Step-by-step explanation:
Radius of the circle is r = 6/2 = 3
Area of the circle is A = π x 3^2 = 9π = 28.26
Area of the square = 6^2 = 36
Remaining board area = 36 - 28.26 = 7.74
Hope this helps! <3
The graph below shows the relationship between the number of dollars a worker earns and the number of hours worked.
What is the range of the function for this situation?
Answer:
C-All real numbers less than or equal to 40
Step-by-step explanation:
none of the other answers make any sense
5. Arrange the following interest rates in ascending order (least to greatest):
4.72
4 1/4
4.168
4 1/5
4 1/6
4.22
Graph f(x) = 4[x] + 5
Step-by-step explanation:
slope is 4, y-intercept is (0,5)
The graph of function f(x) = 4[x] + 5 described below
The given function is
f(x) = 4[x] + 5
Here [ ] represents greatest integer function
We know that
The greatest integer function is one that returns an integer that is closer to the provided actual value.
It is also known as the step function.
The biggest integer function returns the nearest integer to the provided number.
As a result, the formula for finding the biggest integer is rather straightforward.
It is denoted by the symbol [x], where x can be any value.
Now plotting the graph of function.
To learn more about function visit:
https://brainly.com/question/8892191
#SPJ6
The side lengths of the rectangle (16, 32) are reduced by a scale factor of 1/4. What is the area of the new rectangle?
Answer:
32 i think
Step-by-step explanation:
16 divided by 4 is 4
32 divided by 4 is 8
4*8=32
Mr. Rodriguez bought 3 large cans of tomato soup for $8.37. Find the unit rate for one can of tomato soup.
Answer:
It is $2.79
Step-by-step explanation:
You take $8.37 and divide it by 3 then you get $2.79. So for 1 can its $2.79.
Use the explicit formula to determine the 50th term in the sequence:
2,5,8,11,14,...
Answer:
149
Step-by-step explanation:
There is a common difference between consecutive terms in the sequence.
5 - 2 = 8 - 5 = 11 - 8 = 14 - 11 = 3
This indicates the sequence is arithmetic with n th term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 2 and d = 3 , thus
a₅₀ = 2 + (49 × 3) = 2 + 147 = 149
