Answer:
[tex] - (x - 4 {)}^{2} [/tex]
Step-by-step explanation:
The given expresion is
[tex] - {x}^{2} + 8x - 16[/tex]
Factor -1;
[tex] - ( {x}^{2} - 8x + 16)[/tex]
Split the middle term with -4x-4x
[tex] - ( {x}^{2} - 4x - 4x + 16)[/tex]
Factor by grouping within the parenthesis:
[tex] - ( x({x} - 4)- 4(x - 4) )[/tex]
Factor further:
[tex] - (x - 4)(x -4 )[/tex]
[tex] - (x - 4 {)}^{2} [/tex]
This the opposite of the square of (x-4)
Answer:
e
Step-by-step explanation:
you do math
Please help!!!!!
How could you change the equation here so it has infinitely many solutions? What would infinitely many solutions mean in terms of the situation?
If the equation were 6x + 2 = 5x + 17 would there be one unique solution? What is it, and what would it mean in terms of the situation
Answer:
this equation would have one solution
Step-by-step explanation:
Because it has 2 different numbers before the variables.
Answer:
this equation would have one solution
Step-by-step explanation:
45 min/2 mi = ?h / 1 mi
The vertices of a quadrilateral in the coordinate plane are known. How can the perimeter of the figure be found?
Use the distance formula to find the length of each side, and then add the lengths
Use the slope formula to find the slope of each of side, and then determine if the opposite sides are parallel
Use the slope formula to find the slope of each of side, and then determine if the consecutive sides are perpendicular.
Use the distance formula to find the length of the sides, and then multiply two of the side lengths.
To find the perimeter of a quadrilateral use the distance formula to find the length of each side, and then add the lengths so option (A) will be correct.
What is a perimeter?Perimeter is the addition of an external measure of sides it will always positive.
A perimeter is a length and has a degree of the unit as one.
For example
Perimeter of square = side + side + side + side
Perimeter of circle = πd where d is dia of the circle.
To find the perimeter of the quadrilateral we need to find all four side and add them because the perimeter is nothing but the sum of external sides.
So,
By using the distance formula we can find the distance between two points or the distance of a side of a quadrilateral because coordinates are given.
Hence "Use the distance formula to find the length of each side, and then add the lengths"
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Complete the statements to describe sporulation and vegetative propagation.
During sporulation, offspring develop from tiny structures called
(:ANSWER:)
During vegetative propagation, offspring grow from parts of the parent
(:ANSWER:)
Answer: Spores for the first box. Plant for the second box
Step-by-step explanation:
I got the answer right
Here, we are required to complete the statements to describe sporulation and vegetative propagation.
(1). Spores
(2). Plant
Sporulation essentially refers to the formation of spores from vegetative cells during unfavorable environmental conditions. Consequently, offsprings develop from these tiny structures called Spores. Sporulation is therefore often described as an adaptive response that allows the organism to survive under harsh conditions of radiation, extreme heat or cold, malnutrition etc.Vegetative propagation is characterized as any form of asexual reproduction occurring in plants in which a new plant develops from a fragment of the parent plant or a specialized reproductive structure (such as grafting and budding).Read more:
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Graph the function f(x) =( square root of x) -6
Answer:
This is the graph. It is a normal square root function, but translated down 6 units.
Sofia makes and sells stuffed toys. She uses special fabric to cover a foam
cube to make a letter block. How much fabric did Sofia use to make
this block? The side length is 8cm.
Answer:
384 square cm
Step-by-step explanation:
Fabric used will be equal to the total surface of the cubical block.
[tex]fabric \: used \\ = 6 {side}^{2} \\ = 6 \times {8}^{2} \\ = 6 \times 64 \\ = 384 \: {cm}^{2} \\ [/tex]
Find the sum of the first 9 terms in the following geometric series.
64+32+16+...
Answer:
127.75
Step-by-step explanation:
In this geometric series, it is clear that every number is half of the previous number. From that, we can continue on the series as shown below...
64+32+16+8+4+2+1+0.5+0.25
The series above is 9 total terms. We can add those together to get our answer.
64+32+16+8+4+2+1+0.5+0.25 = 127.75
Answer:
127.75
Step-by-step explanation:
Maria has 4 gallons of water. Ryan has 14 quarts of water. How many more cups of water does Maria have than Ryan?
Answer:
8 cups
Step-by-step explanation:
4 gals. = 64 cups
14 qts. = 56 cups
64 - 56 = 8 cups
hope i helped
Answer:
8
Step-by-step explanation:
Once you convert 4 gallons to cups it equals 64.
Once you convert 14 quarts to cups it equals 56.
Now you subtract 64-56 and it equals 8.
Jody has four bottles of soft drink – one bottle of cola, one of root beer, one of ginger ale, and one of orange. She chooses three of these bottles to take to a party. If she chooses the ginger ale, what is the probability she also chooses root beer?
If Jody chooses the ginger ale, the probability that she also chooses root beer from her selection is 1/3.
Explanation:Jody has four bottles of soft drink: one bottle of cola, one of root beer, one of ginger ale, and one of orange. She chooses three of these bottles to take to a party. The question is, if she chooses the ginger ale, what is the probability she also chooses root beer?
Since Jody has already chosen the ginger ale, she now has to choose 2 more bottles from the remaining three (cola, root beer, and orange).
There are 3 choose 2 ways (which is 3 ways) for Jody to pick her remaining bottles.
Only one of these combinations includes root beer (ginger ale, root beer, and one of the others).
Therefore, the probability that she also chooses root beer, given she has chosen ginger ale, is 1/3.
I WILL GIVE YOU BRAINLIST
Consider this system of equations. Which shows the second equation written in slope-intercept form?
y = 3 x minus 2. 10 (x + three-fifths) = 2 y
y = 5 x + StartFraction 3 Over 10 EndFraction
y = 5 x + 3
y = one-fifth x + StartFraction 3 Over 25 EndFraction
y = one-half x + 6
I WILL MARK YOU THE BRAINLIST ALSO PLEASEEEEEEEEEEEEEEEEEE HELPPPPPPPPPPPPPPP
Answer:
b
Step-by-step explanation:
What are the values of a, b, and c in the quadratic equation 0 = 5x - 4x2 – 2?
a = 5, b = 4, C = 2
O a= 5, b= -4, C = -2
O a=-4, b = 5, c = -2
O a = 4, b = -5, c = -2
Answer:
Option C.
Step-by-step explanation:
The standard form of a quadratic function is
[tex]ax^2+bx+c=0[/tex] ... (i)
The given equation is
[tex]0=5x-4x^2-2[/tex]
It can be rewritten as
[tex]-4x^2+5x-2=0[/tex] ... (ii)
On comparing (i) and (ii), we get
[tex]a=-4,b=5,c=-2[/tex]
Hence, the correct option is C.
Answer:
a=-4, b = 5, c = -2
Step-by-step explanation:
Version A
Abdul returned home from school on the school bus. The bus traveled 9 km north
and then 12 km west. How far is Abdul's house from the school? Round to the
nearest whole number.
12 km
Home
9 km
School
A. 31 km
B. 21 km
C. 15 km
D. 8 km
In triangle ABC, a = 7, b = 3, and cos C=. The value of c is
Answer: 7.615
Step-by-step explanation:
Rewrite the equation by completing the square.
x^2 - 4x - 32 = 0
Answer:
(x-2)^2=36
Step-by-step explanation:
I got it correct on khan academy! but the layout is kind of confusing so when you put the answer in, the full thing will look like
(x+-2)^2=36
So all you have to type in is -2, and 36:)
The value of x=8,-4.
What is completing square method?Write the equation in the form, such that c is on the right side.
Step 2: If a is not equal to 1, divide the complete equation by a such that the coefficient of x2 will be 1.
Step 3: Now add the square of half of the coefficient of term-x, (b/2a)2, on both sides.
Given equation:
x² - 4x - 32 = 0
Now, add and subtract (2)² we get
x² - 4x - 32 + 2² - 2² = 0
x² - 4x + 2² - 32 - 2² = 0
(x-2)² -36=0
(x-2)²= 36
(x-2) = ±6
x= +6+2, -6+2
x=8,-4
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a television and DVD player cost a total of 976. The cost of the television is three times the cost of the DVD player. Find the cost of each item
Answer:
DVD player- 244
Television- 732
Step-by-step explanation:
976÷4
(4 because you take the 3x bigger than the 1, so add it)
That gives you 244
so then the DVD player is 244
and for the TV you multiple 244 x 3 which gives you 732 and that is the price for the TV
Please help ASAP!!! Will give Brainly!!! What are the x-intercepts of the parabola?
(4.5, 0) and (5,0)
(0.4.5) and (0,5)
(0,5) and (04)
(5.0) and (4.0)
Answer:
I think it's
4.5
5
0.4
0
0
5
4
maybe, maybe not.
Step-by-step explanation:
The area of a triangle is 15 square centimeters. If all the dimensions of the triangle are multiplied by 5, what will be the area of the new figure?
please help :)
75 cm2 150 cm2 375 cm2 625 cm2
Answer:
375 cm2
Step-by-step explanation:
The new area of the triangle will be 187.5 square centimeters.
Explanation:To find the area of a triangle, you can use the formula A = ½ x base x height. Given that the area of the triangle is 15 square centimeters, we can set up the equation as 15 = ½ x base x height. We are told that all the dimensions of the triangle are multiplied by 5, so the new base and height will be 5 times the original dimensions. Substituting these values into the equation, we get 15 = ½ x (5 x base) x (5 x height). Simplifying the equation, we have 15 = 12.5 x base x height.
Therefore, the new area of the triangle is 12.5 times the original area, which is 15 x 12.5 = 187.5 square centimeters.
A bike wheel as a radius of 13 inches. About how far does the bike wheel travel in:
a. 1 rotation?
b. 5 rotations?
c. 30 rotations?
Answer:
a. 81.6 inches
b. 408 inches
c. 2480 inches
Step-by-step explanation:
circumference = 2 π r = 2 x 3.14 x 13 = 81.6 inchess
in feet = 81.6 /12
6.8 feet
What is the algebraic expression for "the difference between seven times a number and three times that number"?
7 x - 3 x
7 - 3 x
7 x - 3
Answer:
7x-3x
Step-by-step explanation
You have to add the x to the 3 because it says that its 3 time that number (x)
Answer:
the answer is a, 7x-3x
Step-by-step explanation:
7x-3x means the difference between seven times a number and three times that number
hope you have a good day
What is the original price if after an increase of 25% the price was $225.00?
Answer:
$180.00
Step-by-step explanation:
x (1 + 0.25) = 225.00
x = 225.00 / 1.25 = 180
Answer:
$900
Step-by-step explanation:
You have to divide the percentage in order for it to go up.
Bill works for the Stuff It Mailing Service. He receives 25 cents for each document he puts together and prepares for
mailing. Last weck, Bill prepared 2.000 documents for mailing for a local department store. He received a check with gross
pay of $474 and is certain the amount is incorrect
ist
Answer:
(a)Bill's Total piecework pay =$500
(b)Amount owed by his boss=$26
Step-by-step explanation:
Let the number of documents put together and prepared for mailing by Bill =x
Bill receives 25 Cents=$0.25 for every document
Therefore for x documents, Bill should receive: $0.25x
If Bill prepared 2000 documents for mailing
x=2000
The amount he should receive = $0.25 X 2000 =$500
(a)Bill's Total piecework pay =$500
(b)Amount owed by his boss
=500-474
=$26
Bill should have received a gross pay of $500 for preparing 2,000 documents.
Explanation:Bill works for the Stuff It Mailing Service and receives 25 cents for each document he prepares for mailing. Last week, Bill prepared 2,000 documents for a local department store. To find his correct gross pay, we can multiply the number of documents he prepared by the amount he earns per document: 2,000 documents × $0.25 per document = $500. Therefore, the correct gross pay for Bill should be $500.
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Please help me...
What is the function that matches the description.
A sine function whose amplitude is 5 and Period is 12.
Answer:
D (option 4)
Step-by-step explanation:
amplitude = 5
Period 12 means the multiple of x should be
2pi/12 = pi/6
Help pleaasee is urgent
Answer:
14.8
Step-by-step explanation:
Using the pythgorean theorem, you know that [tex]x=\sqrt{7^2+13^2}=\sqrt{218}\approx 14.8[/tex]. Hope this helps!
Answer:
14.8
Step-by-step explanation:
a^2 + b^2 = c^2
7^2 = 49
13^2 = 169
49 + 169 = 218
sqrt of 218 =
14.76
The box measures 12 inches on each side. How many cubic inches will the box hold?
Answer: Multiply width x length x depth to calculate volume (cubic inches).
Step-by-step explanation:
Answer:48 cubic inches
Step-by-step explanation:
Its a box which means it has 4 equal side so therefore
12x4 = 48
Philip has a box of crayons. 45 are yellow, 12 are green, 25 are blue, and 7 are red. If Philip selects a crayon at
random, which color crayon would he be most likely to select?
Green
Answer:
Yellow
Step-by-step explanation:
The box contains mostly of yellow therefore mostly yellow will be picked
Answer:
Most likely yellow because that's the most.
Step-by-step explanation:
Blue would be next if he didnt pick yellow
then green if he didn't pick any of those colors
then red lastly
Find the product. Simplify your answer.
-5(-25? + 2)
Answer:
i think it's 125? - 10. i'm sorry if its not correct
Answer:
115
Step-by-step explanation:
What is the prime factorization of 180?
0 2.2.3.3.5
O 2.2.45
2.3.3.5
2.9.5
Answer:
A) 2*2*3*3*5
Step-by-step explanation:
180
90*2
45*2*2
9*5*2*2
3*3*5*2*2
So your best choice would be A
2/3 of 24
Help me please!
This is important.
Answer:
16
Step-by-step explanation:
2(24)/3 = 16
Answer:
16
Step-by-step explanation:
24 divided by 3 equals 8 but since it’s not 1/3 you have to double it so i got 16
Each school (input) has one principal (output). Function or non function?
Answer:
Function
Step-by-step explanation:
A function is any equation that doesn't have a repeat of any outputs. Since no principal can be a principal of more than one school, it's a function.
Each school having one principal is an example of a mathematical function because there is a one-to-one relationship between schools (inputs) and principals (outputs), meeting the definition of a function with a unique output for each input.
Explanation:In mathematics, a function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output. When we consider the example of schools and principals, we can apply this concept to determine if it represents a function. If each school (input) has one and only one principal (output), it satisfies the criteria for a function. This is because there is a one-to-one relationship between schools and principals. No school has more than one principal, hence adhering to the definition of a function with a domain (schools) and a range (principals).
Furthermore, the concept of functions is foundational to various aspects of school systems, which goes beyond mathematics and extends into the social functions of education. For instance, schools act as socialization agencies teaching respect for authority and conformity to law, which is a manifest function. This educational function aligns with the structure of authority within schools where each principal is the head of their respective school.
Plot the image of point D under a dilation about point P with a scale factor of
Answer:
c x vh g c b. hmm CNN v bad c j an cc j tab i wax b b 9g 3y txh8