Answer:
y - 6
Step-by-step explanation:
Given
y² - 10y + 24
Consider the factors of the constant term (+ 24) which sum to give the coefficient of the y- term (- 10)
The factors are - 4 and - 6, since
- 4 × - 6 = + 24 and - 4 - 6 = - 10, thus
y² - 10y + 24 = (y - 4)(y - 6)
Thus the other factor is (y - 6)
(y - 4) and ( y - 6 ) are the factors of the quadratic equation
What do you mean by quadratic equation?The equation ax2 + bx + c=0 in one variable, with a 0, is known as a quadratic equation. As it is a second-order polynomial equation, which is ensured by the algebraic fundamental theorem, it must have at least one solution.The answer could be simple or complicated.
The roots of the quadratic equations are
x = [-b ± √ (b² - 4ac)] / ( 2a ) ( 2a )
Since (b2 - 4ac) is positive, we have two real solutions where (b2 - 4ac) is the discriminant.
When the discriminant is 0, there is just one viable option (both answers are the same)
In the case of a negative discriminant, two complicated solutions are obtained.
Let the quadratic equation be expressed as A given the data.
Right now, A is valued at
y² - 10y + 24 be equation (1)
The quadratic equations' roots are
y = [ -b ± √ ( b^2 - 4ac ) ] / ( 2a )
y = 10 ± √ ( 100 ) - ( 4 ( 24 ) ) / 2
y = ( 10 ± √4 ) / 2
y = ( 10 ± 2 ) / 2
As a result, y has two values of 10 + 2 / 2 and 6
And , y = (10 - 2) / 2 y = 4
In addition, the variables in the equation are
( y - 4 ) ( y - 6 ) = y² - 10y + 24
The quadratic equation is therefore resolved.
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Question 2 : There are 40 students in Mrs. Jackson's class, and
1/4 of the class has their own cell phone. Of this group of
students, 1/2 of them are allowed to use social media. How many
of the students have a cell phone and can use social media?
Answer:
5
Step-by-step explanation:
First find the number that have their own cell phone
1/4 * 40 = 10
There are 10 students with their own cell phone
1/2 of the 10 can use social media
1/2 * 10 =5
5 have their own cell phone and can use social media
Answer: 10 students have a cell phone and only 5 of them can use social media
Step-by-step explanation: We see there are 40 students in total and 1/4 OF the class have their own cell phone. The OF means multiplacation so we do 40 X 1/4 which is 10 students who have their cellphone. We then again see 1/2 OF the 10 students can use social media meaning we do 10 X 1/2 which is equal to 5 students out of the 10 can use social media.
AVENGERS: The Avender movie made $1.6 million in ticket sales. Its sequel made $0.8 million in ticket sales. How much more than the first movie make than the sequel. (a) Write and equation and solve it (b) Write your answer in a complete sentence in context of the problem
Answer:
0.8 million
Step-by-step explanation:
0.8 million because the first movie made 1.8 mill iou on and the question is asking how much more the first one made than the second one.
Three friends went to the movies. They shared a popcorn and a pack of
candy which cost $9, and altogether they spent $45. a) Write an
expression to represent the situation. b) How much was the price of each
movie ticket?
Answer:
Step-by-step explanation:
A) x+9 =45
x=45 - 9
x=36 cost the tickets
B) 36 :3=12 $cost a ticket
Donovan wants to earn a 70% in Mr. Mottola's class. He knows he currently has an 68% in the class after 5 grades. What is the minimum grade Donovan would need to earn in order to have a 70%.
Answer:
If donovan wants to get dem grades up he has to stop talking out of turn, stop passing notes to his friends, stop fighting, stop trying to kiss the girls, stop cussing, mind his own bussiness, and do his work
Step-by-step explanation:
Describe what is means for slope to be a ratio
Answer:The slope of a line is the ratio of the 'change' in y to the 'change' in x (ratio of vertical change to horizontal change) often referred to as rise compared to run. .
Step-by-step explanation: heart it up
What is (-7) x (-3) in multiplying integers
Answer:
21
Step-by-step explanation:
negative x negative = positive the negatives cancel out each other
Given: f = {(0, 1), (2, 4), (4, 6), (6, 8)} and g = {(2, 5), (4, 7), (5, 8), (6, 9), (7, 5)} Complete the ordered pair below for the function shown.
f(x)
-----
g(x)
(4,__)
6/7
1
7/6
=======================================================
Explanation:
The given ordered pair is (4, ___) so we have x = 4 here.
We will plug this into f(x) and g(x) to get
f(4) = 6
g(4) = 7
So we have [tex]\frac{f(4)}{g(4)} = \frac{6}{7}[/tex]
-----------
If you're curious where f(4) = 6 came from, all we're doing is looking through the set of points
f = {(0, 1), (2, 4), (4, 6), (6, 8)}
to see which has 4 listed first as the x coordinate. That point is (4,6) so x = 4 leads to y = 6, ie, f(x) = 6 when x = 4. A similar situation happens with g(x) as well.
(01.06)
i’m please help
Answer:
the answer is -6
Step-by-step explanation:
x^2+36=0
x^2= -36
√x^2 = √-36
x= -6
A company’s sales increased 17% this year, to $8267. What were their sales last year?
Answer:
eekk im not shure sorry but it might be 8156 i no no
Step-by-step explanation:
Order the following rational numbers from greatest to smallest.
- 7
0.40
4.1
-3/4
Look at the incomplete multiplication problem below. 632x28
5600
+[?]
What value is missing?
A)11,376
B)12,540
C)12.640
D)18,328
Solve: 2x + 27 = 3x - 9
x = 36
Step-by-step explanation:2x + 27 = 3x - 9
27 + 9 = 3x - 2x
x = 36
Answer:
ok
Step-by-step explanation:
4. A dolphin decsends toward the bottom of
the ocean at a rate of 12 feet per second
for 20 seconds. How much did the
dolphin's position change in all? (5 points
for work, 5 points for answer) (TEK 7.3B)
box contains five while balls, four red balls and three blue balls. Suppose that three balls are randomly selected. a. What is the probability that exactly two of the balls are white ? b. What is the probability that one ball of each color is selected ? c. What is the probability that all three of the selected balls have the same color ?
Answer:
Kindly check explanation
Step-by-step explanation:
Given the following :
Number of white balls = 5
Number of red balls = 4
Number if blue balls = 3
Probability = required outcome / Total possible outcomes
Total possible outcomes (Total number of balls) = 5 + 4 + 3 = 12
a. What is the probability that exactly two of the balls are white?
(White, white, not white) or (not white, white, white) or (white, not white, white)
Assume balls were picked without replacement ;
P(white, white, not white) = (5/12 × 4/11 × 7/10) = 0.1060606
P(not white, white, white) = (7/12 × 5/11 × 4/10) = 0.1060606
P(white, not white, white) = (5/12 × 7/11 × 4/10) = 0.1060606
P(exactly 2 white balls) = 3×(0.1060606) = 0.3181818
b. What is the probability that one ball of each color is selected ?
(White, red, blue) or (red, white, blue) or (red, blue, white) or (blue, red, white), (white, blue, red), (blue, white, red)
P(white, red, blue) = (5/12 * 4/11 * 3/10) = 0.0454545
(0.0454545 × 3) = 0.272727
c. What is the probability that all three of the selected balls have the same color ?
P(white, white, white) or P(blue, blue, blue) or P(red, red, red)
P(white, white, white) = (5/12 * 4/11 * 3/10) = 0.0454545
P(blue, blue, blue) = (3/12 * 2/11 * 1/10) = 0.0045454
P(red, red, red) = (4/12 * 3/11 * 2/10) = 0.0181818
(0.0454545 + 0.0045454 + 0.0181818) = 0.0681817
The length of a rectangle is 4 yd longer than its width. If the perimeter of the rectangle is 40 yd, find its area.
Answer:
96
Step-by-step explanation:
I really need help with this question
Answer:
The answer is 235.6
Step-by-step explanation:
You plug in the numbers to the equation.
David is flying from Hong Kong to Buenos Aires. The total flight distance is 11,472 miles. If the plane has 7,793 miles left to travel, how far has it already traveled?
The product of 79 and -0.22 is a positive number. True Or False
Answer:
False
Step-by-step explanation:
We know that this statement is false because a positive number times a negative number will produce a negative answer.
Answer:
False
Step-by-step explanation:
You will get a positive number only by multiplying two positive numbers or two negative numbers.
The average of four numbers is 26.
Three of these numbers are 20, 42
and 16. What is the fourth number?
Answer: 26!!
Step-by-step explanation: the average is like the mean which is all 4 numbers added together divided by 4. 26 times 4 is 104. 20 +42+16 = 78. 104 - 78 is 26 so the 4th number is 26. you can check the work by adding 20 42 16 and 26 together which equals 104. 104 divided by 4 is 26!! so our answer is correct!!
Alg 2 Honors questions giving brainliest
Answer:
2h/ t^2 - 2v/t =g
Step-by-step explanation:
h = vt+1/2 gt^2
Subtract vt from each side
h - vt = vt+1/2 gt^2 -vt
h - vt = 1/2 gt^2
Multiply each side by 2
2( h-vt) = 2 * 1/2 g t^2
2 ( h-vt) = gt^2
Divide each side by t^2
2 ( h-vt) / t^2= gt^2/t^2
2/t^2 (h -vt) = g
Distribute
2h/ t^2 - 2v/t =g
To solve x2−8x=10 by completing the square, what should be added to both sides?
Answer:
16 will be added.
Step-by-step explanation:
Given equation is,
x² - 8x = 10
To convert this equation into a square form we will follow the following steps,
Step (1). x² - 2(4x) = 10
Step (2). x² -2(x)(4) + 16 = 10 + 16
Step (3). x² - 2(4)(x) + 4² = 26
Step (4). (x - 4)² = 26
In step (2) we have added 16 to both the sides of the equation to make is a perfect square.
What is 456,345,698,746 ft in cm?
Answer:
13909416897778.08 cm
Step-by-step explanation:
Answer:
13909416897778.08 cm
Step-by-step explanation:
Think of a number. Double the number. Substract 6 from the result and divide the answer by 2. The quotien will be 20. What is the number?
Answer:
23 is your answer hope this helps
Answer:
The number is 23
Step-by-step explanation:
23*2=46
46-6=40
40/2=20
The answer is 23
Hope that helps!
Chris is going to play baseball every 2 days and he is going to play soccer every 3 days. what are the first 3 days that he will do both on the same day?
Answer:
6,12,18 days
Step-by-step explanation:
Just add 6 to 12 or 6 x 3
6th, 12th and 18th are the first 3 days that he will do both on the same day.
What is Number system?A number system is defined as a system of writing to express numbers
Given that Chris is going to play baseball every 2 days and he is going to play soccer every 3 days.
We need to find the three days that he will do both on the same day
To find this we need to find the common multiples between 2 and 3.
The multiples of 2 are 4, 6, 8, 10,12, 14, 16, 18..
The multiples of 3 are 6, 9, 12, 15, 18...
Let us take first three common multiples of 2 and 3
Which are 6, 12 and 18
Hence, 6th, 12th and 18th are the first 3 days that he will do both on the same day.
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help me please this is due today
Answer:
T(-10, 7) U(-3, 7) V(-3,10) W(-10,10)
Step-by-step explanation:
I'm not 100% but I'm 90% sure I think all you have to do is flip the y to x and the x to the y value. Pls tell me if it is right??
Answer:
T(-10, 7) U(-3, 7) V(-3,10) W(-10,10)
Step-by-step explanation:
Which number should go in the ?
5 + 3 = 3 + 0
5
3
8
Answer:
the answer is 5
Step-by-step explanation:
because 5+3 is 8 and 3+0 is 3 so you need 5 so it can be equal.
hoped i helped
Which is the equation of the function in the graph?
Answer
B
Step-by-step explanation:
xxxxz
Answer:
D
Step-by-step explanation:
Find the indicated side of the
right triangle.
X=
Answer:
tan 30 = p/b
1/√3= 3/x
x= 3√3
please give brainliest as i am 3 short to expert
Step-by-step explanation:
5
Select the correct answer.
if(t + 4) is a factor of polynomial p, which statement must be true?
OA. p(4)
0
B. p(4) < 0
OC. P(-4) = 0
OD. p(-4) > 0
What’s the answer
Answer:
[tex]p(-4) = 0[/tex]
Step-by-step explanation:
Given
[tex]Polynomial: p[/tex]
[tex]Factor: (t + 4)[/tex]
Required
Which statement is true
First we need to equate t + 4 to 0; then solve for t
[tex]t + 4 = 0\\[/tex]
[tex]t = 0 - 4[/tex]
[tex]t = -4[/tex]
Represent the polynomial as a function of t:
[tex]p(t) = 0[/tex]
Substitute -4 for t
[tex]p(-4) = 0[/tex]
100 POINTS!! ASAP - Pls show all the WORK
Answer:
Solution: cot(52°)
Step-by-step explanation:
Remember that the cofunction of angle theta say, is the trigonometric complement of the angle. It represents the relationship between trigonometric functions. In this case you can use the formula:
tan(θ) = cot(90° - θ)
If we plug in '38 degrees' in replacement of 'theta' we can solve for tan(38) in terms of cot. Let's see what our solution is:
tan(38°) = cot(90° - 38°),
tan(38°) = cot(52°)
Therefore the cofunction with the same value as tan(38°) would be cot(52°). Remember this is only one example of it's 'cofunction.'
Answer:
cot(52)
Step-by-step explanation:
cofunction of tan (38)
The cofunction of and angle Ф is the trigonometric complement of an angle.
it shows the relationship between trigonometric functions as:
list the cofunction formula for tan
tan(Ф) = cot(90° - Ф)
plugin Ф = 38 into the formula:
tan (38) = cot(cot(90° - 38)
tan(38 = cot(52)