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Reminder :
[tex](x + a)(x + b) = {x}^{2} + (a + b)x + (a \times b) \\ [/tex]
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[tex] {v}^{2} + ( - 7s {u}^{2} + s {u}^{2})v +( ( - 7s {u}^{2})(s {u}^{2} )) = \\ [/tex]
[tex] {v}^{2} - 6s {u}^{2} v - 7 {s}^{2} {u}^{4} \\ [/tex]
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Answer:
v² - 6su²v - 7s²[tex]u^{4}[/tex]
Step-by-step explanation:
Each term in the second factor is multiplied by each term in the first factor, that is
= v(v + su²) - 7su²(v + su²) ← distribute both parenthesis
= v² + su²v - 7su²v - 7s²[tex]u^{4}[/tex] ← collect like terms
= v² - 6su²v - 7s²[tex]u^{4}[/tex]
Solve for c and d:
10 – 7i = (c – 4) + zdi
C =
d =
Answer:
c= 14-7i-zdi
d=14/zi - 7/z - c/zi
Step-by-step explanation:
Solve for c by simplifying both sides of the equation, then isolating the variable.
Solve for d by isolating the variable by dividing each side by factors that dont contain the variable.
If the table below represents a propornal relationship, what number will go
in the empty box?
Notes (pages)
8
Time (hours)
16
18
20
9
10
11. Helpp
Since the box represents a proportional relationship, the empty box would be = 22.
What is a proportional relationship between two variables?When proportional relationship exists between two variables, it means that a particular value would be times with one variable to give the next compared variable.
For example, using the figures given above;
8 pages of notes = 16hours
1 page = 16/8 = 2 hours
Therefore, each page should be times by two to give the number of hours.
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The ticket booth at a school play sells 170 adult tickets and 150 student tickets. Find the ratio of adults to students. Write your answer as a fraction in simplest form.
The ratio of adults to students is
Answer: 17 to 15
Step-by-step explanation:
An electrician charges a rate of $65 per hour plus a fee of $75 for a job done during the weekend. She earned $465 for a weekend job.
Part A. Enter an equation to find the number of hours, h, the electrician worked on this job.
Part B. How many hours did the electrician work?
Answer:
(465 - 75) ÷ 65
She worked for 6 hours
Step-by-step explanation:
Answer:
Step-by-step explanation:
jj
Which two expressions are equivalent to each other?
Answer:
The answer is 8^11/8^5 and 8^3×8^3
8^11/8^5= 262144
8^3×8^3= 262144
Find the slope of the line that passes through the given two points:
(1,4) and (3,7)
m =
PLEASE HELP I DONT UNDERSTAND THIS
Answer: 3/2
Step-by-step explanation:
To find slope you use the formula: m= y2-y1/x2-x1
So plugging stuff in it’s (7-4)/(3-1)
This comes out to be 3/2
Which means when graphing you go up 3 and right 2
I need this answer ASAP!!!!!!
What is 1 + 2?
Answer:
3
Step-by-step explanation:
In a group of 27 pupils, 7 play the flute only.
5 play the piano only.
10 play both instruments.
A student is chosen at random.
What is the probability the student plays neither instrument?
Answer:
5/27
Step-by-step explanation:
I wrote it as a fraction, but the explanation is, if you're finding out how many who don't play instruments, you first need to find out who many do play instruments, so you add the numbers together.
10+5+7 = 22
So the probability that you'll pick one who does play an instrument would be 22/27 (because 22 out of the 27 pupils play an instrument.) But remember that's not what it's asking us for.
You have to subtract 27 - 22 to get the pupils who don't play instruments, you get 5, so the probability is 5/27 (5 pupils out of 27 don't play instruments.)
To put this in a percent, just divide the top number by the bottom number and move the decimal 2 places over, you get 18.5% or 19% both answers are correct depending on rounding.
which statement is true
Answer: The answer is D. the data distribution is skewed to the right.
Step-by-step explanation:
Since in the picture it is shown that everything is more to the left but the tail is on the right side so it would be skewed right.
Please answer smartly or you will be reported
Thankyou:)
Answer: The answer is B
Step-by-step explanation:
What is the final amount if 1885 is increased by 5% followed by a further 18% increase
9514 1404 393
Answer:
2335.515
Step-by-step explanation:
The first increase multiplies the original amount by 1 + 5% = 1.05.
The second increase multiplies the already increased amount by 1 + 18% = 1.18.
Then the final amount is ...
1885(1.05)(1.18) = 2335.515
How much will you get paid if you work 28.5 hours for $7.75 per hour?
Answer:
$220.87 but 220.88 if u have to round up :)
Which geometric shape would best describe a flashlight?
cylinder
hemisphere
rectangular prism
sphere
Answer:
cylinder
Step-by-step explanation:
prove that 1 + cos 2A / sin 2A=CotA
Answer:
I assume that there are parentheses missing from the question and that it should be
Prove that 1 + sin 2A + cos 2A ---------------------------------------------- = cot A
1+sin2A−cos 2A
Use sin 2 A= 2 sin A cos A and
cos 2 A = 1−2 sin 2 A and cos 2 A = 2 cos A−1
Find the amount and compound interest of Naira 500000 at 2years at 8%
Answer:
Naira 583200
Step-by-step explanation:
500000 × 1.08² = 583200
Write a quadratic equation with the given transformations from the parent function y = x2
4) Reflect over x-axis, shift to the left 5 units, shift up 7 units
5) Vertical stretch by a factor of 4, shift down 11 units
6) Vertical compression by a factor of, reflect over x-axis, shift to the right 2 units, shift up 3 units.
Answer:
4
Step-by-step explanation:
By Using the Transformations of the parabola
[tex]y = -(x+5)^2+7\\y=4x^{2} +7\\y = -(x-2)^2+3[/tex]
Vertical Translation move the graph vertically - up or down[tex]y = x^2+ k[/tex]
Horizontal Translation move the graph horizontally - left or right[tex]y = (x - h)^2[/tex]
Reflection in x-axis
flip the graph over the x-axis, (negates the y-values of the coordinates)[tex]y = -(x^2)[/tex]
Reflection in y-axis
flip the graph over the y-axis,(negates the x-values of the coordinates)[tex]y = (-x)^2[/tex]
Stretch or Compress Verticallystretches away from the x-axis or compresses toward the x-axis
[tex]y = a .x^2[/tex]
| a | > 1 is a stretch;
0 < | a | <1 is a compression
Stretch or Compress Horizontallystretches away from the y-axis or compresses toward the y-axis
[tex]y=\frac{1}{a} x^{2}[/tex]
| a | > 1 is a compression by factor of 1/a;
0 < | a | <1 is a stretch by factor of 1/a
Now, we have [tex]y=x^2[/tex]
4). Reflect over x-axis, shift to the left 5 units, shift up 7 units
[tex]y = -(x+5)^2+7[/tex]
5) Vertical stretch by a factor of 4, shift down 11 units
[tex]y=4 x^{2} +7[/tex]
6) Vertical compression by a factor of, reflect over x-axis, shift to the right 2 units, shift up 3 units.
[tex]y=-(x-2)^{2} +3[/tex]
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The sum of twice a number and 4 is -22. Find the number
Answer:
-13
Step-by-step explanation:
let the unknown number be x
2x + 4=-22
2x=-22-4
2x=-26
divide both sides by 2
x=-13
PLEASE PLEASE HELP ME I WILL GIVE BRAINALIST AND EXTRA POINTS TO THE FIRST PERSON
Answer:
1.C 2.A
Step-by-step explanation:
FIRST
Answer:
1= C
5= A
Step-by-step explanation:
Write the following algebraically:
I think of a number, take away one and multiply the rest by 3.
Answer:
y = 3(x-1)
Step-by-step explanation:
Here is an example so you know it works.
Regular: I pick 58 I take away 1 = 57*3=171
Algebraically: y = 3(58-1) First do parenthesis
y = 3(57)
y = 171
Hope this helps!!
PLEASE BE A LIFE SAVERRR AND HELP ME ITS SO IMPORTANT
Answer:
a
Step-by-step explanation:
school and eat breakfast, and a 60% chance that she will be late for school or eat breakfast. What
is the probability that Elaine will eat breakfast
What is the equation of the line that passes through the point (–5,–6) and has a slope of zero?
Answer:
y = -6
Step-by-step explanation:
y = mx + b
-6 = -5(0) + b
b = -6
Please answer quickly I'm failing and need help!
Answer:
Blue=slope of 1
Yellow=slope of 2
Black=slope of 1/5
y= -2(x-3)(x-2) to standard form
The highest elevation in a small country occurs on a mountain 1232 meters above sea level, while the lowest elevation in the same country occurs at -27 meters (below sea level). What is the difference in elevation between the highest and lowest points?
Answer: 1259 meters
Step-by-step explanation:
Highest elevation = 1232 meters
Lowest elevation = -27 meters
The difference in elevation between the highest and lowest points will be:
= 1232 - (-27)
= 1232 + 27
= 1259 meters
Note that (-) × (-) = +
Elizabeth and her sister earned money shoveling snow over winter break. Altogether, they shoveled for a total of 30 hours. Elizabeth charged her customers $12 per sidewalk, and her sister charged $11 per sidewalk. If they earned $347.50 total, how many hours did each girl spend shoveling?
Answer:
Step-by-step explanation
$12x17.5=210
$11x12.5=137.5
210+137.5=$347.5
Elizabeth worked for 17.5 Hours
Her sister worked 12.5 hours
(10pts) A train left a station at 8:00 am
going at 45 mph. A second train left the station
at 10:00 am going in the same direction at 55
mph. At what time will the second train catch
up with the first train?
Answer:
12:00 i think
Step-by-step explanation:
hope this helps
Find the length of the missing side. The triangle is not drawn to scale
Answer:10
Step-by-step explanation:Use the Pythagorean theorem a^2 + b^2 = c^2, a is 8 and b is 6 so now you have 8^2 + 6^2 = C^2 this simplifies to 64 + 36 = c^2 those 2 numbers add up to 100 so C^2 is 100 then to get C you take the square root of 100 which is 10
The missing side 10.
Option C is the correct answer.
What is the Pythagorean theorem?Pythagorean theorem states that for a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
We can apply this theorem only in a right triangle.
Example:
The hypotenuse side of a triangle with the two sides as 4 cm and 3 cm.
Hypotenuse side = √(4² + 3²) = √(16 + 9) = √25 = 5 cm
We have,
Applying the Pythagorean theorem.
c² = 6² + 8²
c² = 36 + 64
c² = 100
c = √100
c = 10
Thus,
The missing side is 10.
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f (x)=−8x− 4 cual es la pendiente y y el coeficiente de posición f (x )= (6x− 12) : 3 cual es la pendiente y y el coeficiente de posición AYUDA PORFA
The translation of the given question is
f (x) = - 8x− 4 what is the slope y and the position coefficient f (x) = (6x− 12): 3 what is the slope y and the position coefficient
Answer:
We need to determine slope and position coefficient which is the intercept.
f (x) = - 8x− 4 we know that f(x) is y
slope intercept form of the line
y = -8x -4
slope = -8
intercept = -4
similarly
f (x) = 6x− 12
y = 6x -12
slope =6
intercept = -12
Milligrams (\text{mg})(mg)left parenthesis, start text, m, g, end text, right parenthesis of iron per serving. Then they changed their recipe so they had 1.8\,\text{mg}1.8mg1, point, 8, start text, m, g, end text of iron per serving. What was the percent increase in iron?
Answer:
48.76%
Step-by-step explanation:
Here is the complete question;
A brand of cereal had 1.21milligrams of iron per serving. Then they changed their recipe so they had 1.8mg of iron per serving. What was the percent increase in iron?
Given
Initial amount of iron in cereal per serving = 1.21mg
final amount of iron in cereal per serving =1.8mg
Required
Percentage increase in iron
Increment = 1.8mg - 1.21mg
Increment = 0.59mg
% increase in iron = increment/original amount * 100%
% increase in iron = 0.59/1.21 * 100
% increase in iron = 0.4876 * 100
% increase in iron = 48.76%
Hence the percent increase in iron is 48.76%