Answers
[tex]\huge\fcolorbox{blue}{aqua}{Answer:}[/tex]
════════════════════
1.
[tex]kx^{2} + kx + \frac{25}{4}[/tex]
All you need to do is factor out [tex] \frac{1}{4}[/tex]
=[tex] \frac{4kx^{2 +} + 4kx + 25 } {4} [/tex]
if you evaluate it it will become
[tex]kx^{2} + kx + \frac{25}{4} [/tex]
────────────────────
2.
[tex] \frac{3y² + 1}{4} - \frac{y}{2} = 6[/tex]
[tex]3y² + 1 - 2y = 24[/tex]
[tex]3y² - 23 - 2y = 0[/tex]
[tex]3y² - 2y - 23 = 0[/tex]
[tex]y=\frac{-\left(-2\right)±\sqrt{\left(-2\right)^{2}-4\times 3\left(-23\right)}}{2\times 3} [/tex]
[tex]y=\frac{-\left(-2\right)±\sqrt{4-4\times 3\left(-23\right)}}{2\times 3} [/tex]
[tex]y=\frac{-\left(-2\right)±\sqrt{4-12\left(-23\right)}}{2\times 3} [/tex]
[tex]y=\frac{-\left(-2\right)±\sqrt{4+276}}{2\times 3} [/tex]
[tex]y=\frac{-\left(-2\right)±\sqrt{280}}{2\times 3}[/tex]
[tex]y=\frac{-\left(-2\right)±2\sqrt{70}}{2\times 3}[/tex]
[tex]y=\frac{2±2\sqrt{70}}{6}[/tex]
[tex]y=\frac{2\sqrt{70}+2}{6}[/tex]
[tex]y=\frac{\sqrt{70}+1}{3}[/tex]
[tex]y=\frac{2-2\sqrt{70}}{6}[/tex]
[tex]y=\frac{1-\sqrt{70}}{3}[/tex]
[tex]y=\frac{\sqrt{70}+1}{3}[/tex]
So the answer is
[tex]y=\frac{\sqrt{70}+1}{3}[/tex]
════════════════════
Explanation:
#Carry on learning
Related Questions
If (x k) is a factor of f(x), which of the following must be true? f(k) = 0 f(–k) = 0 a root of f(x) is x = k. a y intercept of f(x) is x = –k.
Answers
A root of f(k) is x=k. Option C is correct.The numbers we're multiplying are factors of the product since they're divisible by it.
What is a factor?A number is obtained by dividing another number by itself without leaving a leftover. To put it another way, if multiplying two whole numbers produces a product,
The factor of the f(x) is given as;
[tex]\rm (x+k)[/tex]
The factors satisfy the equation as;
[tex]\rm (x+k)=0 \\\\ x=-k[/tex]
Hence one root of f(x) is x = -k, The correct answer is option C.
To learn more about the factors refer to the link;
https://brainly.com/question/24182713
Answer:
Option C
Step-by-step explanation:
It is a test i dont know how to do equations for scatter plots.
Answers
slope intercept form:
y = mx + b
when m is the slope and b is the y-intercept
the line crosses the y axis at 40 so that is your y-intercept
and slope is rise/run so to make it easy I like to use whole numbers and reduce if necessary:
from ( 0, 40) the next point that the line goes through cleanly is at (3 , 35)
in order to get to that point you had to move down five or (-5) and to the right three or (+3) making your rise over run -5/3
putting this in slope intercept form you get:
y = -5/3 x + 40
Good luck with your test!! Please mark me brainliest! Thank you!
What is the measure of Z?
A. 36
B. 72
C. 108
D. 144
Answers
[tex]xz = 2 \times xyz = 2 \times 72 = 144[/tex]
Answer:
144
Step-by-step explanation:
72*2=144
HELPPPP RIGHT NOW FOR BRAINLEST!!!!
Answers
Rhys will tile the rectangle below to find it’s area. Q: How many unit squares with side length 1/10 foot will Rhys use to tile the rectangle? The sides of the rectangle: 3/10 foot and 4/5 foot. Answers: 24 unit squares, 18 unit squares, 12 unit squares, and 7 unit squares.
Answers
Using the areas of the rectangle and of the square, it is found that 24 unit squares will be used to tile the rectangle.
What is the area of a square?
The area of a square of side l is given by the square of l, that is:
A(l) = l².
In this problem, we have that [tex]l = \frac{1}{10}[/tex], hence the area is given by:
[tex]A = \left(\frac{1}{10}\right)^2 = \frac{1}{100} = 0.01[/tex]
What is the area of a rectangle?The area of a rectangle of length l and width w is given by the multiplication of the measures, that is:
A = lw.
In this problem, we have that the measures are:
[tex]l = \frac{3}{10}, w = \frac{4}{5}[/tex]
Hence:
[tex]A = lw = \frac{3}{10} \times \frac{4}{5} = \frac{12}{50} = \frac{24}{100} = 0.24[/tex]
The area of the rectangle is 24 times the area of the square, hence 24 unit squares will be used to tile the rectangle.
More can be learned about areas at https://brainly.com/question/10489198
The number of unit squares with a side length of 1/10 foot that Rhys uses to tile the rectangle is 24 units
How to calculate the area of plane shapes?A square is a plane shape with 4 sides
The formula for calculating the area of the square is expressed as:
A = l^2
Given
side length of a square = 1/10 foot
A = (1/10)² = 1/100 = 0.01 square foot
Determine the area of the rectangle
Area = length * width
Area = 3/10 * 4/5
Area = 12/50 = 6/25
Area = 0.24 square foot
Take the ratio of both areas
Ratio = 0.24/0.01
Ratio = 24 units
Hence the number of unit squares with a side length of 1/10 foot that Rhys uses to tile the rectangle is 24 units
Learn more on area of plane shapes here: https://brainly.com/question/2644832
Does anyone understand this? Please explain and give me da answer ahahah, istg this teacher doesn’t teach at all.
Answers
Answer:
4.125
Step-by-step explanation:
33 divided by 8 and you get 4.125
pls help with my problem!
Answers
Explanation:
To find the volume of this triangular prism we should the formula base times height equals volume. Let’s say the base of the prism is the triangle. We need to find the area of the triangle so we can use the formula base times height divided by two. The base of the triangle is 5 and the height is 9. So 9x5=45 and then we divide this number by 2.
45/2 is 22.5m
So now we have the base for our formula and now we need the height. We can see 10m stretched across the prism so we can assume that is our height.
So we take our base (22.5m) and multiply it by out height (10m) to find our volume.
22.5 x 10 = 225
So the volume is 225m
Hope this helps!
Gotham government officials have a 58. 6% chance of being corrupt. Determine the probability that a randomly selected Gotham government official is not corrupt
Answers
If 58.6 % are corrupt then rest of them are not corrupt. Total is 100%
On your own paper, graph the system of equations and identify the solution:
y = 3x - 4
y = 3x + 1
Answers
The equations y = 3x - 4 and y = 3x + 1 are linear equations
The equations have no solution
How to determine the solution of the equations?The equations are given as:
y = 3x - 4
y = 3x + 1
Next, we plot the graph of the equations y = 3x - 4 and y = 3x + 1
From the graph (see attachment), we can see that the equations do not have a point of intersection
Hence, the equations has no solution
Read more about linear equations at:
https://brainly.com/question/14323743
Ira purchased a new dishwasher for $361.35. the dishwasher was on sale for 17.5% off. what was the original price of the dishwasher, to the nearest dollar? a. $379 b. $382 c. $425 d. $438
Answers
A discount is the amount of money that is removed from the original price. The original price of the dishwasher is $438.
What is a discount?A discount is the amount of money that is removed from the original price of a commodity when it is being sold.
We know that the commodity is being sold that a price of $361.35 but the discount is 17.5% and we are to obtain the original price of the commodity.
Let the original price be x
x - 17.5/100x = 361.35
82.5x/100 = 361.35
x = 361.35 * 100/82.5
x = $438
Learn more about discount: https://brainly.com/question/3541148
Given & Proof
*Hard*
Answers
Answer:
Step-by-step explanation:
A new spiral notebook contains 10 fewer sheets than a new
composition book. The total number of sheets of paper in
2 new spiral notebooks and 5 new composition books is
540. Which system of equations can be used to find s, the
number of sheets of paper in one new spiral, and c, the
number of sheets in one new composition book?
s - c = 10
2s – 5c = 540
c - s = 10
2c + 5s = 540
S + c= 540
2s - 5c = 10
c - s = 10
5c + 2s = 540
Answers
multiply quantity of each and add them together to get total of 540
2s + 5c = 540 or 5c + 2s = 540
The difference in pages is 19 so you would subtract: c-s = 10
answer would be
d: c-s = 10
5c + 2s = 540
State translation,reflection or rotation
(x, y) ——-> (x + 9, y + 2)
Please help me with this please and thank you
Answers
Answer12
Step-by-step explanation:
2
Is it A,B,C,D ??????
Answers
Answer:
Options A, B & D
Step-by-step explanation:
[tex]5-2\frac{3}{4} =\frac{20}{4} -\frac{11}{4} =\frac{9}{4} =2\frac{1}{4}[/tex]
Hope tis helps
HELP MEEEEEEEEEEEEEEE
Answers
[tex]\dfrac{8^2 \cdot 4^{-3}}{2^4\cdot 8^{-2}}\\\\\\=\dfrac{(2^3)^2\cdot(2^2)^{-3}}{2^4\cdot (2^3)^{-2}}\\\\\\=\dfrac{2^6\cdot2^{-6}}{2^4\cdot 2^{-6}}\\\\\\=\dfrac{2^6}{2^4}\\\\\\=2^{6-4}\\\\\\=2^2\\\\\\=4[/tex]
A 3-column table with 5 rows. the first column is labeled state with entries florida, michigan, new york, california, texas. the second column is labeled republican primary with entries 12.8%, 16.5%, 1.4%, 22.9%, 12.8%. the third column is labeled general election with entries 63.5%, 64.7%, 53.1%, 55.2%, 49.7%. look at the table. what information is missing from the table that could help someone draw the most accurate conclusion about voter turnout in primaries and general elections? the year in which this election took place the candidates running for president the percentage of democratic primary voters the states of new jersey and arizona
Answers
Answer:
Percentage of Democratic primary voters
Step-by-step explanation:
Answer: C (the percentage of democratic primary voters)
Step-by-step explanation: took the test on edge
Which value for x makes the sentence true?
1/40 + X = 1/8.
А. 3/20
B. 1/10
C. 1/24
D. 1/32
Answers
Answer:
B
Step-by-step explanation:
[tex] \frac{1}{40} + x = \frac{1}{8} [/tex]
[tex]40( \frac{1}{40}) + (40)x = 40( \frac{1}{8} )[/tex]
[tex]1 + 40x = 5 \times 1[/tex]
[tex]1 + 40x = 5[/tex]
[tex]40x = 5 - 1[/tex]
[tex]40x = 4[/tex]
[tex] \frac{40x}{40} = \frac{4}{40} [/tex]
[tex]x = \frac{1}{10} [/tex]
Answer:
1/10
Step-by-step explanation:
When you say, "What is the difference between 'a' and 'b'," is 'a' being subtracted by 'b' or is 'b' being subtracted by 'a'?
Answers
Answer:
a-b
Step-by-step explanation:
The difference will usually be the first term subtracted by the second but it is the space/value between the numbers so technically you could just take the negative from b-a as -(b-a) and get the same value
Can anyone help me with this answer.
Answers
Answer:
27 cm²
Step-by-step explanation:
Shaded Area = Area ABCE - Area AED
S.A. = 6 x 6 - 1/2 x 3 x 6 [DE = 1/2AB = 1/2 X 6 = 3]S.A. = 36 - 9S.A. = 27 cm²Answer:
27 sq cm
Step-by-step explanation:
Area of the shaded region
= Area of rectangle - Area of triangle
= 6*6 -1/2(6)(3)
= 36 - 9
= 27 sq cm
2 rectangular pyramids are connected at their bases. the total height of the 2 figures if 10 units. the base edge lengths are 9 units and 1.5 units. the height of each pyramid is 5 units. which statements about the composite figure are true? check all that apply. the composite figure consists of two rectangular pyramids. the composite figure can be broken down into rectangular prisms. the volume of the composite figure is 1.5(9)(5) 1.5(9)(5). the total volume is 45 units3. the total volume is 90 units3.
Answers
The true statements about the figure are:
Volume of the composite figure = sum of the volume of each rectangular pyramids.Volume of the composite figure = 45 units³What is the Volume of a Rectangular Pyramid?Volume = 1/3(length)(width)(height)
The volume of the composite figure = sum of the volume of each rectangular pyramids.
The two pyramids have the same height and base. Therefore:
Volume of the composite figure = 2[1/3(length)(width)(height)] = 2[1/3(9)(1.5)(5)]
Volume of the composite figure = 45 units³
Learn more about the volume of a rectangular pyramid on:
https://brainly.com/question/924442
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Answer:
A,D
Step-by-step explanation:
PLEASE HELP IM DOING IT RIGHT NOW
Answers
Answer:
To find the product of 568.32 and [tex]10^{4}[/tex], move the decimal point in 568.32 4 places to the right because [tex]10^{4}[/tex] has 4 zeros.
Step-by-step explanation:
[tex]10^{4}[/tex] = 10000
568.32 · 10000 = 5683200
the decimal point moved 4 places to the right because 10000 has 4 zeros.
hope this helps!
Help me put the inequality on the number line!
Answers
Answer:
3 with an arrow pointing to the left
Step-by-step explanation:
The base is a square, 4.5 on a side. The height is 5cm
Looking for the volume, help!
Answers
Answer:
Given :-
Length and Breadth = 4.5 cmHeight = 5cmTo Find :-
Volume of the shapeSolution :-
Volume = l ×b ×h /3
putting the known values ,Volume = 4.5 × 4.5 × 5 cm/3³
Volume = 101.25/3 cm³
Volume = 33.75 cm³
Answer:
Volume = 33.75 cm³Step-by-step explanation:
After reading question we can understand that the all these measurements are of pyramids .
So In the question we are given ,
Base of square = 4.5 cmHeight of pyramid = 5 cmWe know that in pyramid length and width are equal to base of a square . Therefore ,
Length of pyramid = 4.5 cmWidth of pyramid = 4.5 cmFormula :[tex] \rightarrow \blue{\boxed{ \sf{Volume \: of \: pyramid = \frac{lwh}{3} }}}[/tex]
Where ,
l refers to length of pyramidw refers to width of pyramidh refers to height of pyramidNow , substituting values of l , w and h :
[tex] \longmapsto \: \frac{4.5 \times 4.5 \times 5}{3} [/tex]
Now , by multiplying 4.5 , 4.5 and 5 , We get :
[tex] \longmapsto \: \frac{101.25}{3} [/tex]
Now , by dividing 101.25 by 3 , We get :
[tex] \longmapsto \: \red{\boxed{33.75}}[/tex]
Therefore , volume of pyramid is 33.75 cm³ .#Keep LearningWrite an expression for the product of z and 331.
Type an asterisk (*) if you want to use a multiplication sign and a slash (7) if you want to
use a division sign.
Answers
19. Which Venn diagram correctly represents the relationship between rational numbers and irrational numbers? Explain your answer.
Answers
The resistance of a wire varies directly with its length and inversely with the square of its diameter. If 100 feet of wire with diameter 0.01 inch has a resistance of 10 ohms, what is the resistance of 140 feet of the same type of wire if its diameter is 0.01 inch
Answers
Answer:
14 ohms
Step-by-step explanation:
The resistance varies directly with length, so increasing the length by a factor will increase the resistance by the same factor.
__
The length of the wire increased by a factor of 1.4 from 100 ft to 140 ft. That means the resistance will increase by a factor of 1.4 from 10 ohms to 14 ohms. (The diameter did not change.)
The longer wire will have a resistance of 14 ohms.
6. Quaker uses 14 of a barrel of chocolate chips to make each batch of their
Chewy marshmallow chocolate chip granola bars. In one day, the company uses
3 12 barrels of chocolate chips to make granola bars. How many batches
of granola bars did the company make in the day?
Answers
Answer:
4/5=.80
4/.80= 5
5*7= 35
You can make 35 granola bars with 4 cups of chocolate chips.
I hope this helps!
The number of batches of granola bars the company make in the day is 22.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given that, Quaker uses 14 of a barrel of chocolate chips to make each batch of their Chewy marshmallow chocolate chip granola bars.
Number of batches = Total barrels of chocolate chips/Number of a barrel of chocolate chips
= 312/14
= 22.28
≈ 22
Therefore, the number of batches of granola bars the company make in the day is 22.
To learn more about the unitary method visit:
brainly.com/question/22056199.
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If Lucy travels 20 metres in 1 second, how many metres will
she travel in 1 hour?
Answers
60x20 = 1200
1200 x 60 = 72,000 METERS
Answer:
72,000 meters
Step-by-step explanation:
Seconds in 1 hour = 3600
20 meters = 1 second
3600x20= 72000 meters
Is this correct guys? It's how i did it
Please help! I don’t get this at all
Answers
Answer:
I hope I help you
have a nice day
437.683
Write a number with a 7 in it that is 1/10 the size of the 7 in the number above.
Answers
Answer:
43.7683
Step-by-step explanation:
When multiplying by 10s, the decimal point moves. Since it is a fraction, making it lesser than an actual 10, the decimal point moves one space to the left (instead of right)
437.683
Take away 430 because we don't need it for this step
7.683
10% of 7.683 = 0.7683
add back 43
your answer is:
43.7683
hope this helps :)