-(x-1)²+25 in standard form
Answer:
-x^2+2x+24
Step-by-step explanation:
Answer:
-x²+2x+24
Step-by-step explanation:
-(x-1)²+25 (Given expression)
-(x²-2x+1)+25 (Expand parenthenses)
-x²+2x-1+25 (Distribute the negative)
-x²+2x+24 (Combine like terms to get standard form)
Solve the following quadratic formula and enter the solutions below from smallest to largest. Round to the nearest tenth if necessary.
Equation: 4x2+8x+7=4
Solution: Answer
and
Answer:
[tex]\:x=-\frac{3}{2},x=-\frac{1}{2}[/tex]
Step-by-step explanation:
Subtract 4 from both sides:
[tex]4x^2+8x+7-4=4-4[/tex]
Simplify:
[tex]4x^2+8x+3=0[/tex]
Solve with the quadratic formula:
[tex]x_{1,\:2}=\frac{-8\pm \sqrt{8^2-4\cdot \:4\cdot \:3}}{2\cdot \:4}[/tex]
[tex]x_{1,\:2}=\frac{-8\pm \:4}{2\cdot \:4}[/tex]
Separate the solutions:
[tex]x_1=\frac{-8+4}{2\cdot \:4},\:x_2=\frac{-8-4}{2\cdot \:4}[/tex]
The solutions to the quadratic equation are:
[tex]\:x=-\frac{3}{2},x=-\frac{1}{2}[/tex]
Find the distance between A and B
Answer:
11 units
Step-by-step explanation:
1. Members of a research team are considering three studies related to sleep and learning. The first study involves comparing the scores on a post-study test of learning from two groups of randomly chosen adults, with one group getting at least 7 hours of sleep per night for a week and the other group getting at most 6 hours
of sleep per night for a week. A second study involves asking a random sample of students at a large university to report the average number of hours of sleep they get each night and their college grade point average. A third study involves asking a random sample of high school students in a large school district whether they feel they get enough sleep to stay alert throughout the school day.
The question is incomplete. The complete question is :
Members of a research team are considering three studies related to sleep and learning. The first study involves comparing the scores on a post-study test of learning from two groups of randomly chosen adults, with one group getting at least 7 hours of sleep per night for a week and the other group getting at most 6 hours of sleep per night for a week. A second study involves asking a random sample of students at a large university to report the average number of hours of sleep they get each night and their college grade point average. A third study involves asking a random sample of high school students in a large school district whether they feel they get enough sleep to stay alert throughout the school day.
Which study appears to look for an association between two variables without actively manipulating either one. What are those variables ?
Solution :
The second study in the context is involved in asking for a random sample of the students at an university to provide a report the average hours of sleep that everybody get each night and also the grade point of their college appears for association between these two variables without actively changing either of one.
These variables are the grade point average of the students and the numbers of hours of sleep.
Samuel saved some money for a new phone, but then he spent $24 of his savings on a
pair of headphones. Now he has $189 left. Let d be the number of dollars Samuel had
originally saved. Write and solve an equation to find d.
Answer:
213$
Step-by-step explanation:
24$ on headphones
189$ left
so you add the use and what is left an u get 213$ do not forget to write $ when u are finished :)
Hi, can someone help with these two questions ASAP! (Ignore the multiple choice I circled, not sure if it’s correct)
Thanks!!
Answer:
1) D. [tex]y = -\frac{3}{2}\cdot x^{12} -7\cdot x^{5}+\frac{2}{3}\cdot x -10[/tex]
2) E. The coefficient of [tex]x[/tex] is -16.
Step-by-step explanation:
1) A polynomial is an algebraic expression of the form [tex]p(x) = \Sigma \limits_{i = 0}^{n} c_{i}\cdot x^{i}[/tex], where [tex]n[/tex] is the grade of the polynomial. In this case, the only equation that satisfies this definition is:
[tex]y = -\frac{3}{2}\cdot x^{12} -7\cdot x^{5}+\frac{2}{3}\cdot x -10[/tex]
Correct answer: D
2) Let [tex]p(x) = (2\cdot x + 1) \cdot (5\cdot x^{3}-8\cdot x +4)[/tex], we proceed to expand the expression by algebraic means:
[tex]p(x) = (2\cdot x + 1)\cdot (5\cdot x^{3}) -(2\cdot x +1)\cdot (8\cdot x) + 4\cdot (2\cdot x + 1)[/tex]
[tex]p(x) = 10\cdot x^{4}+5\cdot x^{3}-16\cdot x^{2}+4[/tex]
We see that coefficients for [tex]x^{2}[/tex] and [tex]x[/tex] are -16 and 0, respectively. Hence, the incorrect answer is E.
use the circle below to answer the question. find mBDC
Answer: 142 degrees
mBC = 52
mCD = 90
90 + 52 = 142
Will give brainliest! I need serious help with this
Answer:
A. Base edge
B. Lateral edge
C. Height
D. Base
E. Lateral face
I would appreciate Brainliest but no worries.
Mhanifa can you please help? Look at the picture attached. I will mark brainliest!
Answer:
Given rhombus ABCD with
m∠EAD = 67°, CE = 5, DE = 12Properties of a rhombus:
All sides are congruentDiagonals are perpendicularDiagonals are angle bisectorsDiagonals bisect each otherSolution, considering the above properties
1. m∠AED = 90°, as angle between diagonals2. m∠ADE = 90° - 67° = 23° as complementary of ∠EAD3. m∠BAE = 67°, as ∠BAE ≅ ∠EAD4. AE = CE = 5, as E is midpoint of AC5. BE = DE = 12, as E is midpoint of BDThe passengers on Fly Right Airlines have their choice of snacks: peanuts, raisins, or granola. They also have the choice of four beverages: juice, water, milk, or coffee. All choices are equally popular. What is the probability a passenger would choose granola and juice? .
Answer:
The probability of them picking granola is 1/3
The probability of them choosing juice is 1/4
Step-by-step explanation:
Hope it helps :)
City officials are putting a garden around a memorial site as shown below.
Part A Determine the area of the memorial site in terms of x.
Write your answer as a trinomial and include units. Show or explain your work.
Part B The outside edges of the garden form a rectangle whose length and
width are proportional to the sides of the memorial site, increased
by a scale factor of 3. Determine the lengths of the outside edges of
the garden. Write your answer in simplest form.
Part C Determine the area of the garden in terms of x. Write your answer in
simplest form. Show or explain your work
Answer:
I only remember how to do part A, so sorry for using up an answer.
Step-by-step explanation:
Part A:
[tex](3x+5)(4x+7)\\ 12x^2+21x+20x+35\\ 12x^2+41x+35 ft^2[/tex]
(I also don't know if this is the form you need it in, but I hope I could help a little.)
The area of the memorial site is 12x² + 41x + 35 square units, the lengths of the outside edges of the garden are 12x + 21 units and 9x + 15 units and 108x²+369x+315 is the area of the garden in terms of x.
What is Area of Rectangle?The area of Rectangle is length times of width.
(a) The area of the memorial site is given by multiplying the length and width:
Area = (4x + 7)(3x + 5)
Expanding this expression using the distributive property, we get:
Area = 12x²+ 41x + 35
Therefore, the area of the memorial site is 12x² + 41x + 35 square units.
(b) The length and width of the garden are proportional to the length and width of the memorial site, increased by a scale factor of 3.
Length of garden = 3(4x + 7) = 12x + 21
Width of garden = 3(3x + 5) = 9x + 15
Therefore, the lengths of the outside edges of the garden are 12x + 21 units and 9x + 15 units.
(c) The area of the garden is given by multiplying the length and width:
Area of garden = (12x + 21)(9x + 15)
=108x²+180x+189x+315
=108x²+369x+315
Hence, the area of the memorial site is 12x² + 41x + 35 square units, the lengths of the outside edges of the garden are 12x + 21 units and 9x + 15 units and 108x²+369x+315 is the area of the garden in terms of x.
To learn more on Area of Rectangle click:
https://brainly.com/question/20693059
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Please help:(
A. D: (2, 1, 0, -2, -3), R (1, -3, -3, -3, -4}
B. D: (-3, -2, 0, 1, 2}, R: (-4, -3, 1)
C. D: (-3, -2, 1, 1, 2), R: (1, -3, -4)
D. D (-3, -2, 0, 1, 2), R (1, -3, -3, -3, -4)
Which is the answer?
Answer c would be the answer hope it helps
Step-by-step ex planation:
Can someone plz help me
Answer:
41 degrees
Step-by-step explanation:
All three angles in a triangle must add up to 180 degrees. The picture already tells you that B is 63 degrees. This means A and C should both add up 117 degrees. If A is 2x+8 and B is x+7, then A+B is 3x+15. This means that 3x+15 is equal to 117 degrees.
3x + 15 = 1173x = 117 - 153x = 102x = 102/3x = 34Now that we know that x is 34, we plug it in. X + 7 becomes 34 + 7 degrees which is equal to 41 degrees.
I’m lazy:) I’ll give brainliest
Answer:
its 5.795
Step-by-step explanation:
Answer:
5.790
Step-by-step explanation:
all zeos at the top
Rhea draws rows and columns on a big piece of paper to make 16 same-sized squares. How many rows and columns does she draw? I
Answer:
4 rows and 4 columns
Step-by-step explanation:
Given
16 same sized squares
Required
Determine the number of rows and columns
Since the shape formed is a square, then the following relationships exist:
[tex]Row * Column = 16[/tex]
[tex]Row = Column[/tex]
[tex]Row * Column = 16[/tex] can then be rewritten as:
[tex]Row * Row = 16[/tex]
[tex]Row^2 = 16[/tex]
Take square roots of both sides
[tex]Row = \sqrt{16[/tex]
[tex]Row = 4[/tex]
[tex]Row = Column[/tex] implies that:
[tex]Row = Column = 4[/tex]
10
Find the value of x.
8
9
X
*15
X=
Answer:
x = 19
Step-by-step explanation:
Here, we want to find the value of x
To get this, we use one of the important circle theorems. This is the theorem of secant segments
We have this that;
8(8 + x)= 9(9 + 15)
64 + 8x = 216
8x =
216-64
8x = 152
x =
152/8
x = 19
can anyone help me please
Answer:
it just depends what gumball its talking about
Step-by-step explanation:
Determine if the following lengths could make a right triangle. (Your answer will be yes or
no.)
1) 8 cm, 12 cm, and 6 cm
I
2) 50 in., 48 in., and 14 in.
Answer:
(2) is a right angled triangle.
Step-by-step explanation:
8²+6²=64+36=100=10²≠12²
48²+14²=2304+196=2500=50²
find the distance between the two points (-7,0) and (-9,-8)
Answer:
in decimal form it is 8.25
Find the area of the circle. Round to the nearest hundredth.
Answer:
10?
Step-by-step explanation:
4
Please! HELP! very easy! will give brainliest!
Answer:
Tom will need 42 bags of seed.
Step-by-step explanation:
The area of Tom's yard is 630 square feet.
Divide the area (630) by the amount of area that each bag of seed covers (15)
630 divided by 15 is 42. So, Tom will need to use 42 bags of seed to cover his whole yard.
35 out of 42 students bought their lunch. How many students out of every 6 bought their lunch?
Answer:
0.138 students per bought
Step-by-step explanation:
I will give brainliest to first A circular hole was cut from the center of a plastic disc as shown below. The measurements are given in millimeters (mm). Answer choices are 177 330 11,127 11,304
(Middle number says 15 mm btw)
Answer:
330
Step-by-step explanation:
Please answer correctly
triangle NPQ= 35º
i hope this helps!!
?/1 A box contains 5 red marbles and 7 green marbles. Find the probability of drawing a green marble and not returning it to the box and then drawing a red marble?
Answer: 35/132
Step-by-step explanation:
probability of drawing green marble: 7/12
since the green marble drawn won't be returned to the box, the new total amount of marbles in the box is 11.
probability of red marble: 5/11
then multiply the 7/12 and 5/11 together:
35/132 which is abut 26.5%
The radius of Cylinder A measures ____ feet.
14, 7, 10
The radius of Cylinder B measures ____ feet.
1.4, 2.8, 5.7
Answer:
The radius of Cylinder A measures 7 feet.
The radius of Cylinder B measures 2.8 feet.
Step-by-step explanation:
The radius of Cylinder A measures 7 feet.
because the radious is half of the diameter and 14 is the diameter
The radius of Cylinder B measures 2.8 feet.
Answer:
Cylinder A's radius is 7 because the radius is diameter divided by 2.
Cylinder B's radius is 2.8 because the height of Cylinder A is 5 times bigger than Cylinder B's height.
Step-by-step explanation:
Find the area for each trapezoid.
Answer:
A=130
Step-by-step explanation:
HELP PLZ
"Is triangle ABC a right triangle? Use measurements from all sides of the triangle to argue yes or no"
Answer:
no 12,5,12
Step-by-step explanation:
Ginger uses the rule "divide by 3" to make a number pattern. If she starts with 36, what are the next two numbers?
A.12, 6
B.12, 3
C.12, 4
D.36, 32
Answer:
Step-by-step explanation:
Option C is the correct answer
Which graph below matches the equation; x + 3 = y. *
Answer:
I think its a (it might be wrong tho )
Step-by-step explanation:
pls double check