Answer:
[tex]Sum = -81[/tex]
Step-by-step explanation:
See the comment for complete question.
Given
[tex]c = 36[/tex] ----- Constant
No coefficient of x^2
Required:
Determine the sum of all distinct positive integers of the coefficient of x
Reading through the complete question, we can see that the question has 3 terms which are:
x^2 ---- with no coefficient
x ---- with an unknown coefficient
36 ---- constant
So, the equation can be represented as:
[tex]x^2 + ax + 36 = 0[/tex]
Where a is the unknown coefficient
From the question, we understand that the equation has two negative integer solution. This can be represented as:
[tex]x = -\alpha[/tex] and [tex]x = -\beta[/tex]
Using the above roots, the equation can be represented as:
[tex](x + \alpha)(x + \beta) = 0[/tex]
Open brackets
[tex]x^2 + (\alpha + \beta)x + \alpha \beta = 0[/tex]
To compare the above equation to [tex]x^2 + ax + 36 = 0[/tex], we have:
[tex]a = \alpha + \beta[/tex]
[tex]\alpha \beta = 36[/tex]
Where: [tex]\alpha, \beta <0[/tex] and [tex]\alpha \ne \beta[/tex]
The values of [tex]\alpha[/tex] and [tex]\beta[/tex] that satisfy [tex]\alpha \beta = 36[/tex] are:
[tex]\alpha = -1[/tex] and [tex]\beta = -36[/tex]
[tex]\alpha = -2[/tex] and [tex]\beta = -18[/tex]
[tex]\alpha = -3[/tex] and [tex]\beta = -12[/tex]
[tex]\alpha = -4[/tex] and [tex]\beta = -9[/tex]
So, the possible values of a are:
[tex]a = \alpha + \beta[/tex]
When [tex]\alpha = -1[/tex] and [tex]\beta = -36[/tex]
[tex]a = -1 - 36 = -37[/tex]
When [tex]\alpha = -2[/tex] and [tex]\beta = -18[/tex]
[tex]a = -2 - 18 = -20[/tex]
When [tex]\alpha = -3[/tex] and [tex]\beta = -12[/tex]
[tex]a = -3 - 12 = -15[/tex]
When [tex]\alpha = -4[/tex] and [tex]\beta = -9[/tex]
[tex]a = -4 - 9 = -13[/tex]
At this point, we have established that the possible values of a are: -37, -20, -15 and -9.
The required sum is:
[tex]Sum = -37 -20 -15 - 9[/tex]
[tex]Sum = -81[/tex]
4 (k - 6) = 6 (-4 - 5k)
a) 10
b) 0
c) -2
d) 8
Step-by-step explanation:
step 1. what is the question? solve for k? okay.
step 2. 4(k - 6) = 6(-4 - 5k)
step 3. 4k - 24 = -24 - 30k
step 4. 34k = 0
step 5. k = 0.
1 ÷ 8, or 1/8, is 0.125
Answer:
both
Step-by-step explanation:
Answer:
true! :)
Step-by-step explanation:
Where could point E be located on the coordinate plane? I’ll mark you as brainliest! Quadrant one, or Quadrant two, or Quadrant three or , Quadrant four , or Y axis, or X axis?
Answer:
Quadrant II and III
Step-by-step explanation:
Given
Point E
[tex]x < 0[/tex] i.e. negative x
and
[tex]y \ne 0[/tex]
Required: Determine the possible quadrant(s) of E
[tex]y \ne 0[/tex]. means that point E belongs to at least 1 quadrant. So, x-axis and y-axis are ruled out
Solving further:
[tex]x < 0[/tex]
The two quadrants where the x coordinates is negative are II and III.
Hence, point E belongs to quadrants II or quadrants III
A hot air balloon is at an altitude of
100 1/5 yards. The balloon's altitude decreases
by 10 4/5 yards every minute. Determine the
number of minutes it will take the balloon to reach an altitude of 57 yards.
Answer:
It will take 4 minutes for the balloon to reach an altitude of 57 yards.
Step-by-step explanation:
Initial altitude:
100 1/5 yards = 100 + 0.2 = 100.2 yards.
Decrease per minute:
10 4/5 yards = 10 + 0.8 = 10.8 yards.
So, after t minutes, the height of the ballon is given by:
[tex]h(t) = 100.2 - 10.8t[/tex]
Number of minutes it will take the balloon to reach an altitude of 57 yards.
This is t for which [tex]h(t) = 57[/tex]. So
[tex]h(t) = 100.2 - 10.8t[/tex]
[tex]57 = 100.2 - 10.8t[/tex]
[tex]10.8t = 43.2[/tex]
[tex]t = \frac{43.2}{10.8}[/tex]
[tex]t = 4[/tex]
It will take 4 minutes for the balloon to reach an altitude of 57 yards.
A sum amount
to rupees 34476 in two and a half years at 4% CI. the sum is
Given:
Amount = Rs. 34476
Rate of compound interest = 4%
Time = [tex]2\dfrac{1}{2}=2.5[/tex] years
To find:
The principal value.
Solution:
Formula for amount is
[tex]A=P\left(1+\dfrac{r}{100}\right)^t[/tex]
Where, P is principal value, r is rate of interest and t is time in years.
Putting the given values, we get
[tex]34476=P\left(1+\dfrac{4}{100}\right)^{2.5}[/tex]
[tex]34476=P\left(1+0.04\right)^{2.5}[/tex]
[tex]34476=P\left(1.04\right)^{2.5}[/tex]
[tex]\dfrac{34476}{\left(1.04\right)^{2.5}}=P[/tex]
Now,
[tex]P=31256.0090[/tex]
[tex]P\approx 31256[/tex]
Therefore, the value of sum or principal value is Rs.31256.
Given f(x) = -3x + 1 and g(x) = 4*, find the following combinations:
g(x)-f(x)
g(x) •f(x)
f(x)
8(x)
Step-by-step explanation:
Please refer to the attachment
2/5× = ?
I don't understand how to answer this
Answer:
10
Step-by-step explanation:
2x5 is basically 1x5= 5x2=10
i need the answer asap
Step-by-step explanation:
A (-3 , 4) and C ( 2 , -6 ) and ratio of AB : AC is 4:5
now , let AB be 4x and AC be 5x such that
AC = AB + BC
AC - AB = BC
5x - 4x = BC
x = BC
ratio of AB : BC = 4:1
by using section formula
( mx2 + nx1 / m+n , my2 + ny1 / m+n )
where m = 4 and n = 1
B = ( 4×2 + 1×-3 / 4+1. ,. 4× -6. + 1× 4 / 4+1 )
B = ( 8 -3 / 5. ,. -24 + 4 / 5)
B = ( 5/5. ,. -20/5 )
B = ( 1. , -4 )
A rectangle is inside a circle with a 5 cm radius.
What is the area of the shaded region?
Use 3.14 for π.
Enter your answer as a decimal
Answer:
Do it your self
Step-by-step explanation:
Gross
Answer:
30.5
Step-by-step explanation:
can you all please help me with a and b
Answer:
Step-by-step explanation:
a.
area of one face=3²=9 units²
b.
whole surface area=6×3²=6×9=54 units²
Cam walked 4 units down and 8 units left to reach the origin. What is the ordered pair of his starting point?
Use the Normal model N(1156,59) for the weights of steers.
a) What weight represents the 39th percentile?
b) What weight represents the 99th percentile?
c) What's the IQR of the weights of these steers?
Tony has a bucket filled with 10 green, 3 blue, 1 red, and 7 yellow tennis balls. He removes 4 tennis balls from the bucket without replacing them.
Which of the following outcomes could represent the tennis balls Tony selected?
(A) All of the tennis balls are blue.
(B) There is 1 tennis ball of each color.
(C) There are exactly 3 green tennis balls.
(D) There are more red tennis balls removed than other colors.
(E) The number of red tennis balls is the same as the number of blue tennis balls.
Answer:
b
Step-by-step explanation:
Write the expression
a2b3c2d in expanded
form.
Answer:
a*2+b*2+c*2+d
Step-by-step explanation:
If i's meant to be Pythagorean theorem, a*a+b*b=c*c
In AHIJ, the measure of ZJ=90°, HI = 65 feet, and IJ = 31 feet. Find the measure of
H to the nearest tenth of a degree.
I
65
31
J
H
Answer:
14
Step-by-step explanation:
Dz
Answer:
H=28.4846≈28.5
Step-by-step explanation:
SOH-CAH-TOA
sinH= opposite/hypotenuse=31/65
sinH=31/65
H=28.4846≈28.5 Type into calculator and round to the nearest tenth of a degree.
28.5
(10 − 343) − 2 × 6 simplify the operation using the order of operations
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\text{\bf{{(10-343)-2\times6}}}\\\bold{Do\ PEMDAS}\\\bold{PEMDAS\ is....}\\\bold{Parentheses}\\\bold{Exponents}\\\bold{Multiplication}\\\bold{Division}\\\bold{Addition}\\\bold{Subtraction}}[/tex][tex]\\\bold{Do\ PEMDAS}\\\\\bold{PEMDAS\ is....\downarrow}\\\\\bold{Parentheses}\\\bold{Exponents}\\\bold{Multiplication}\\\bold{Division}\\\bold{Addition}\\\bold{Subtraction}}[/tex]
[tex]\large\text{\bf{(10 - 343) - 2 * 6}}\\\large\text{\bf{10 - 343 = -333}}\\\large\text{\bf{(-333) - 2 * 6}}\\\large\text{\bf{2 * 6 = 12}}\\\large\text{\bf{(-333) - 12 = -345}}\\\boxed{\boxed{\large\text{\bf{Answer: -345}}}}\huge\checkmark[/tex]
[tex]\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Identify the diameter of circle A
AB
AS
BT
TS
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Circles.
Since we know that, diameter is always twice of radius, and also one important point that,
A diameter is the longest chord of the circle passing from the centre of the circle, hence here,
BT is the diameter of the circle,
option c.) BT
Answer:
BT
Step-by-step explanation:
This is because a line which passes through the centre of a circle and falls on the circumference is called the diameter.
Melanie's fruit punch recipe calls for 6 cups of apple juice for every 3 cups of carrot juice. How many cups of carrot juice are used for each cup of apple juice?
Answer:
1/2 cup carrot juice for every cup of apple juice
Step-by-step explanation:
Answer:
1/2 cup carrot juice for every cup of apple juice
Step-by-step explanation:
6:3 6 dived by 6 is 1 and 3 dived by 6 is 0.5 also known as 1/2
what’s four times a number (algebra wise)
Answer:
4x
Step-by-step explanation:
In Mr. Richard's class, 5/8 of the students like
to bake. Of those students, one-half prefer to
bake cookies. What fraction of the students
prefer to bake cookies?
Please do all of the attachments, quick. It is due please
First one with the right answer gets brainlest, and I will give extra points please.
Que es una ecuación cuadrática
Step-by-step explanation:
En álgebra, una ecuación cuadrática es cualquier ecuación que se puede reorganizar en forma estándar como ax ^ {2} + bx + c = 0 donde x representa una incógnita, y a, byc representan números conocidos, donde a ≠ 0. Si a = 0, entonces la ecuación es lineal, no cuadrática, ya que no hay término ax ^ 2.
Find the slope.
Bonus: Write the equation of the line.
Answer:
1 so y=1+b
Step-by-step explanation:
9514 1404 393
Answer:
slope: -1equation: y = -x +3Step-by-step explanation:
The slope is the ratio of "rise" to "run". The "rise" is the vertical distance between two points; the "run" is the corresponding horizontal distance.
Here, we see point A is (0, 3) and point B is (1, 2). Then the "rise" is 2 -3 = -1, while the "run" is 1 - 0 = 1. The slope is the ratio ...
m = rise/run = -1/1 = -1
The slope of the line is -1.
__
The point A is the y-intercept, where the line crosses the y-axis. It tells us the value of y is 3 when x=0. So, we can write the equation in slope-intercept form as ...
y = mx + b . . . . . where m is the slope (-1) and b is the y-intercept (+3)
y = -x +3
Is 4x-10y=2 equal to 4x-3y=0?
Answer:
No it is not
Step-by-step explanation:
What is y if x is 0?
Answer: is there a picture or something i can see to help you?
Write the equation in standard form using integers.
Answer:
it would be:
3x-4y=-8
Step-by-step explanation:
Jessica earned $14 by baby sitting 4 hours
What's Jessica rate and Jessica's Unit Rate?
Answer:
$3.50
Step-by-step explanation:
14 ÷ 4 = 3.5
good luck, i hope this helps :)
Solve the inequality.
-3.25y <-61.75
Step-by-step explanation:
-3.25y < -61.75
-3.25y < -61.75
-3.25. -3.25
whenever an inequality is divided by a negative number the sign changes, so if the sign of the inequality is greater than( > ) it becomes less than( < ) or the other way around. In this case the less than will be greater than.
y > 19 , S.S= [ 20,21,22,23.....]
Lily and Matthew are walking from home to school. Matthew has to return a library book on the way and follows the sidewalk. Lily walks directly to school. Assume the path they take forms a right triangle. Use the lengths in the diagram to determine how far Lily walks. Round your answer to the nearest tenth of a mile. Show your work and explain how you determined your answer. 20 points btw
How did the Great Depression impact European nations?