1.So the problem "y=2x+5" is in standard form and no modification is necessary. For a parabolic equation, the standard form is y = a(x - h)^2 + k, from which direction (polarity of "a") and axis of symmetry (value of "h"), etc.
2.Ax + By + C = 0 or Ax + By = C.
Answer:
[tex]=10x^2+15x+5[/tex]
Step-by-step explanation:
[tex]5\left(2x+1\right)\left(x+1\right)\\\mathrm{Expand}\:\left(2x+1\right)\left(x+1\right):\quad 2x^2+3x+1\\\mathrm{Apply\:FOIL\:method}:\quad \left(a+b\right)\left(c+d\right)=ac+ad+bc+bd\\a=2x,\:b=1,\:c=x,\:d=1\\=2xx+2x\cdot \:1+1\cdot \:x+1\cdot \:\\=2xx+2\cdot \:1\cdot \:x+1\cdot \:x+1\cdot \:1\\\mathrm{Simplify}\:2xx+2\cdot \:1\cdot \:x+1\cdot \:x+1\cdot \:1:\quad 2x^2+3x+1\\2xx+2\cdot \:1\cdot \:x+1\cdot \:x+1\cdot \:1\\2xx=2x^2\\2\cdot \:1\cdot \:x=2x\\1\cdot \:x=x\\1\cdot \:1=1\\=2x^2+2x+x+1[/tex]
[tex]\mathrm{Add\:similar\:elements:}\:2x+x=3x\\=2x^2+3x+1\\=5\left(2x^2+3x+1\right)\\\mathrm{Expand}\:5\left(2x^2+3x+1\right):\quad 10x^2+15x+5\\5\left(2x^2+3x+1\right)\\\mathrm{Distribute\:parentheses}\\=5\cdot \:2x^2+5\cdot \:3x+5\cdot \:1\\\mathrm{Simplify}\:5\cdot \:2x^2+5\cdot \:3x+5\cdot \:1:\quad 10x^2+15x+5\\5\cdot \:2x^2+5\cdot \:3x+5\cdot \:1\\\mathrm{Multiply\:the\:numbers:}\:5\cdot \:2=10\\=10x^2+5\cdot \:3x+5\cdot \:1\\\mathrm{Multiply\:the\:numbers:}\:5\cdot \:3=15[/tex]
[tex]=10x^2+15x+5\cdot \:1\\\mathrm{Multiply\:the\:numbers:}\:5\cdot \:1=5\\=10x^2+15x+5\\[/tex]
20
y
-12
14
-2 21
8
28
What is the y-intercept of the line?
Answer:
-2 21
Step-by-step explanation:
Answer:
y-intercept : (0, -223042)
Step-by-step explanation:
Simplify: 20y-1214-221828
Subtract the numbers: -1214-221828=-223042
= =20y-223042
y-intercept : (0, -223042)
Hope this helps.
An agriculture researcher wants to test the effect of nine soil additives by adding four at a time to different rows of the
same plant. How many different combinations can be tested?
756
126
63
Answer:
126
Step-by-step explanation:
Hope it helped :)
A manager that owns 3 local area Car Maintenance Garages was researching certifications of mechanics that worked for her company. Consider the following Venn diagram.
What is the probability that a randomly selected mechanic from her 3 garages is ASE certified to work on Brakes? A.3/5. B. 1/2. C. 2/9. D. 4/15
Answer:
B. 1/2
Step-by-step explanation:
In the picture attached, the Venn diagram is shown
amount of ASE certified brakes mechanics: 4+2+2+1 = 9
amount of mechanics: 4+2+2+1+3+3+3 = 18
The probability that a randomly selected mechanic is ASE certified to work on brakes: 9/18 = 1/2
Answer:
B. 1/2
Step-by-step explanation:
Choose the graph of the solution to the inequality x <-12.
20
-10
0
10
20
20
-10
0
10
20
20
--10
0
10
20
20
-10
0
10
20
DONE
Answer:
The graph of the inequality x < -12 would look like the graph I attached
ACION
A student claims that if you dilate the net for a cube using a scale factor of 2, the surface
area of the resulting cube is multiplied by 4 and the volume is multiplied by 8. Does this
claim make sense?
(select)
make sense.
Answer:Yes
Step-by-step explanation:
Given
Suppose side length of cube is a
If we dilate the cube using a scale factor of 2
Side length becomes 2a
and the surface area becomes [tex]=6(\text{side length})^2[/tex]
Surface area[tex]=6(2a)^2[/tex]
Surface area[tex]=4\times 6(a)^2[/tex]
Thus surface area multiplied by a factor of 4
Now for volume
[tex]V=(\text{side length })^3[/tex]
[tex]V=(2a)^3[/tex]
[tex]V=8(a^3)[/tex]
Therefore volume is multiplied by a factor of 8
Therefore the above statements make sense
What is the volume of the cone.
Answer:
see below
Step-by-step explanation:
The volume of a cone is given by
V = 1/3 pi r^2 h
The radius is 5 and the height is 8
V = 1/3 pi ( 5)^2 (8)
V =200/3 pi ft^3
We can approximate by by 3.14
V =209.33333 ft^3
Or by using the pi button
V =209.4395102 ft^3
David is the coach of the Bingtown Cougars hockey team. There are 2 minutes left in the game they are playing and they are currently losing by 1 point. In the past, when losing by 1 point, he has pulled the goalie out of the game and replaced the goalie with a forward player a total of 21 times. When in the same position, he has left the goalie in the game 14 times.
In the situations when he has pulled the goalie, they have lost 7 times, tied 8 times, and won 6 times. In the situations when he has left the goalie in the game, they have lost 8 times, tied 2 times, and won 4 times.
Based on these numbers, if the goal is to either tie or win the game, should he pull the goalie or not?
A.
There is not enough information to determine if he should pull his goalie or not.
B.
Neither option has any advantage.
C.
David should pull his goalie.
D.
David should not pull his goalie.
Answer:
A. There is not enough information to determine if he should pull his goalie or not.
Step-by-step explanation:
Although they won/tied more when he pulled his goalie they also played it more that way. Which means they must play it more the other way to have an even amount of tests.
can i get brainilest?
A bag contains green marbles and blue marbles, 36 in total. The number of green
marbles is 6 more than 4 times the number of blue marbles. How many green
marbles are there?
Answer:
30
Step-by-step explanation:
You first subtract 6 from 36 and then divide 30 by 5 to get 6 then multiply 6*4 then add back the 6 you originally subtracted
if f(x) = 0.5(2 - x), what is the value of f(-2)?
Answer:
2
Step-by-step explanation:
f(-2)=0.5(2-(-2))=
0.5(2+2)=
0.5(4)=
2
Hope this helps!
Will u b my friend
WILL GIVE BRAINLIEST FOR YES
Answer:
I'm down for a new friend
Step-by-step explanation:
sent the request
ᵤᵤ ᵧₑₛ
ᵘʳ ᵃⁿˢʷᵉʳ ʷᶦˡˡ ᵖʳᵒᵇᵃᵇˡʸ ᵍᵉᵗ ᵈᵉˡᵉᵗᵉᵈ ᵗʰᵒ
PLEASE HELP!! WILL MARK BRAINLIEST!!
Answer:I believe the answer would be undefined because it has no slope.
Step-by-step explanation:
Answer To:
PLEASE HELP!! WILL MARK BRAINLIEST!!
Step-by-step explanation:
Unidentified
I need help...please and thank you :,)
On her first stroke, Maya hit a golf ball 146 yards, 2 feet, 11 inches. On her second stroke, she hit it 163 yards, 1 foot, 2
inches. How far did the ball go altogether? Convert the answer to larger units whenever possible.
A. 311 yards 11 inches
B. 310 yards, 1 foot, 1 inch
C. 309 yards, 3 feet, 13 inches
D. 309 yards, 1 foot, 1 inch
Answer:
A
Step-by-step explanation:
1 yard = 36 inches
1 feet = 2 foots = 24 inches
First time, she's got 5315 inches, second time is 5868 inches
5315 + 5868 = 11183 inches
11183 : 36 = 310.638888889 inches
Change it and we have answer A, 311 yards 11 inches
What is the value of the expression below?
16.86 x 103
Answer:
1736.58
Step-by-step explanation:
Answer:
1736.58
Step-by-step explanation:
i multiplied
100 points
Find the Surface area of a right rectangular pyramid 50 points for explaining in full the equation of how.
L= 7
W= 5
H= 12
100 points explaining the equation for volume too.
Step-by-step explanation for Surface Area:
So, to find the surface area, you use the formula: [tex]A=lw+l\sqrt{(\frac{w}{2})^2 +h^2 } +w\sqrt{(\frac{l}{2})^2 +h^2 }[/tex]
I'll explain what each part means and why they are like that. (btw, it would help you more if you looked at a rectangular prism I added while you read the explanation :) )
First of all, you do lw because that is the base of the right rectangular pyramid (since you're finding the surface area, you need to find the area of all the surfaces on the pyramid)
You add [tex]l\sqrt{(\frac{w}{2})^2 +h^2 }[/tex] because now you're trying to find the triangular side with the length. You multiply the length, because that's how wide the "triangle" is. You do the square root because of the pythagorean theorem (since you're using the hypotenuse times the length to find that side). The width is divided by two, because as you can see in my attachments, that's how far away the height is from the length (if you look at the base, see where the height line drops in comparison to the length). (look at my second screenshot)
You add [tex]w\sqrt{(\frac{l}{2})^2 +h^2 }[/tex] for the same reason, except dealing with the width. You're finding the side with the width. You multiply the width by the hypotenuse of the right triangle (look at the third screenshot i attached). The length is divided by two because that's the distance between the bottom of the height line to the w.
I do believe that this should explain the meaning behind each piece of the formula (I'm not sure this is what you asked for lol but it does make understanding it a little easier, I think). To get the answer, you just substitute each variable with those values. So...
[tex]A=(7)(5)+(7)\sqrt{(\frac{(5)}{2})^2 +(12)^2 } +(5)\sqrt{(\frac{(7)}{2})^2 +(12)^2 }[/tex]
A ≈ 183.3
As for the Volume:
[tex]V=\frac{lwh}{3}[/tex]. I'm not 100% on why it's divided by three, but with any volume, you're always going to end up with an answer that is in cubed units. So that explains the three variables in the numerator. I'd like to think the three just has to do with the three variables, but I don't know. Give me the points if you'd like? I don't think this is a proper explanation though.
Good luck!
Answer:
volume = 140 cubic units
area = 183.3 square units
Step-by-step explanation:
I am going to assume we are dealing with a pyramid with a rectangular base. The rectangular base has length 7 units, width 5 units, and height 12 units.
Let's do the volume first since it's simpler.
Volume:
volume of pyramid = (1/3) * (area of base) * height
volume = (1/3) * 7 units * 5 units * 12 units
volume = 140 cubic units
Now we deal with the surface area.
The total surface area of a rectangular pyramid is the sum of the lateral area and the area of the base. The area of the base is the area of a rectangle. The lateral area is the sum of the areas of the 4 triangular sides. Each two opposite sides are congruent. For the base, we have the length and width of the rectangular base, so we can find the area easily.
For the 4 triangular sides, we need to find the the height of the triangles. Since each pair of opposite faces is congruent, we have two triangles we need to find the heights for. I'll call the heights "p" and "q". We use the Pythagorean theorem to find the heights of the triangular faces.
a^2 + b^2 = c^2
(3.5)^2 + (12)^2 = p^2
p^2 = 156.25
p = 12.5
(2.5)^2 + (12)^2 = q^2
q^2 = 150.25
q = 12.25765
Area of triangle = (1/2) * base * height
For two triangles, the base is 5 and the height is 12.5.
For the other two triangles, the base is 7 and the height is 12.25765.
total surface area = area of base + 2(area of triangle with base 5) + 2(area of triangle with base 7)
A = LW + 2(1/2)(base)(height) + 2(1/2)(base)(height)
A = 7(5) + 2(1/2)(5)(12.5) + 2(1/2)(7)(12.25765)
A = 183.3 square units
The radius of a the head of a snowman is about 2/3 times the radius of the base of the snowman. If the surface area of the base of the snowman is 1800 square centimeters, what is the approximate surface area of the snowman's head?
Answer:
The approximate surface area of the snowman's head is 125.33 sq.cm.
Step-by-step explanation:
Formula of surface area =[tex]4 \pi r^2[/tex]
We are given that The surface area of the base of the snowman is 1800 square centimetres
So,[tex]4 \pi r^2 =1800[/tex]
[tex]4 \times \frac{22}{7} \times r^2 = 1800 \\r^2 = \frac{1800 \times 7}{22 \times 4}\\r=\sqrt{\frac{1800 \times 7}{22 \times 4}}\\r=11.96[/tex]
The radius of a the head of a snowman is about 2/3 times the radius of the base of the snowman
So, Radius of head = [tex]\frac{2}{3} \times 11.96 =7.97[/tex]
Surface area of snowman's head=[tex]4 \times \frac{22}{7} \times 9.97=125.33 cm^2[/tex]
Hence the approximate surface area of the snowman's head is 125.33 sq.cm.
What number do you plug in for PV (present value) in the amortization formula?
Answer:
The formula for Amortization is written in my attached picture
Consider the following expression 3(4+1)(2y+5). Select all of the true statements below.
Answer: 15
Step-by-step explanation:
Find the zeros of the function f(x)=x2+2x-3
Answer:
x = -1 and x = 3
Step-by-step explanation:
f(x)= x^2-2x-3
f(x) = (x + 1) (x - 3)
Therefore, x = -1 and x = 3
The zeroes of the quadratic function f(x) = x² + 2x - 3 will be 1 and negative 3.
What is a factorization?It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.
The quadratic equation is given as ax² + bx + c = 0. Then the degree of the equation will be 2.
The quadratic equation is given below.
f(x) = x² + 2x - 3
Then the factor of the quadratic equation will be
f(x) = x² + 2x - 3
f(x) = x² + 3x - x - 3
f(x) = x(x + 3) - 1(x + 3)
f(x) = (x + 3)(x - 1)
The zeroes of the function will be
f(x) = 0
(x + 3)(x - 1) = 0
x = 1, -3
Then the zeroes of the quadratic function f(x) = x² + 2x - 3 will be 1 and negative 3.
More about the factorization link is given below.
https://brainly.com/question/6810544
#SPJ5
The sum of three times a number and three less than the number is thirteen.
(As an equation)
Answer:
3+5x5-3=13
Step-by-step explanation:
Which function represents the graph below?
Answer:
The inequalities all need to be of the form a < x ≤ b. i think that is it
A sample of a mysterious chemical substance
naturally gains mass over time.
The relationship between the elapsed time t, in
years, since the mass of the sample, M(t), in
grams, was initially measured is modeled by
the following function:
4t+3
M(t) = (1.16)
Complete the following sentence about the
yearly percent change in the mass of the
sample.
Round your answer to the nearest percent.
Every year, there is a
%
addition to/ removal from v
the mass of the
sample.
Answer: every year there is an 81% addition to the mass of the sample
Step-by-step explanation:
Khan academy told me
The yearly percent change in the mass of the sample will be 81.06%.
What is the percentage?The quantity of anything is stated as though it were a fraction of a hundred.
A sample of a mysterious chemical substance naturally gains mass over time.
The relationship between the elapsed time t, in years, since the mass of the sample, M(t), in grams, was initially measured is modeled by the following function:
[tex]\rm M(t) = (1.16)^{4t+3}[/tex]
The yearly percent change in the mass of the sample will be
At t = 0, we have
M(0) = (1.16)³ = 1.561
At t = 1, we have
M(1) = (1.16)⁷ = 2.826
Then the percentage will be
P = [(2.826 – 1.561) / 1.561] x 100
P = 0.8106 x 100
P = 81.06%
More about the percentage link is given below.
https://brainly.com/question/8011401
#SPJ5
Select all expressions that are equivalent to 16x−12−24x+4. Show or explain your reasoning.
1. 16x - 12(1 + 2x) + 4
2. 40x - 16
3. 4 - 12 + (2x - 3x)
4. -8(x+1)
4.
Mr. Allen is planning a twenty question quiz worth 100 points. The quiz will contain True/False questions worth 3 points each and multiple choice questions worth 11 points each. a) How many multiple choice questions will be on the quiz? b) How many True/False questions will be on the quiz?
Answer:
a)5 b)15
Step-by-step explanation:
5 times 11=55
15 times 3 is 45
add together is 100
5+15 is 20 questions
A circle with a 12 inch diameter is folded in half and then folded in half again. What is the area of the resulting shape?
Round your answer to the nearest whole number.
Use 3.14 for pi. Do not include units (in2) in your answer.
Please answer correctly !!!! Will mark brainliest !!!!!!!!
Answer:
A
Step-by-step explanation:
Notice how it points it out for the x coordinate, and the closed circle means that point is included, So it's the range of the smallest x coordinate to the greatest x coordinate.
A sphere with center A is shown. Which represents a radius?
B
С
A.
B. BC
C. DG
D.
FE
Answer:
Segment AD
Step-by-step explanation:
Radius is a line that goes half way. In other words, it starts anywhere, and ends at the center of the circle.
Answer:
AD
Step-by-step explanation:
The radius goes from the center of the circle to the outer edge
AD and AG are radii
Stephanie is comparing web sites for downloading music. One charges a $5 membership fee plus $0.50 per song. Another charges $1.00 per song but no membership fee. Which of the following shows the correct equation to find how many songs Stephanie would have to buy to spend the same amount on both web sites?
Answer:
0.50x+5=Website A
1.00x=Website B.
Step-by-step explanation:
She would need to buy 10 songs to have them equal the same.
There are 2 brownie for 3 students. What is the amount of brownie that each student receives?
Answer:
0.66 repeating (2/3)
Step-by-step explanation:
Each student should receive 2/3 of a brownie, because if you do 0.66 times 3, (multiplying the number of students by the portion of brownie they receive, you get 1.98. Rounding up to 2, this will give each student the fairest amount of brownie.
evaluate the function f(x) = 5x-3
Answer:
x = 3/5 = 0.600
Step-by-step explanation:
Peter piper picked 135 pickled peppers.
He ate 3 pickled peppers during lunch.
He made 11 small batched of hot sauce from the rest.
Enter the number of pickled peppers that are in each small batches of hot sauce.
Enter an equation that can be solved to find out how many pickled peppers, f, he used for each small batch of hot sauce.
Answer:
There are 12 pickled peppers in each small batch of hot sauce. We can use the equation f = (135-3)/11 to find this answer.