Answer:
8
Step-by-step explanation:
(-11/2x +3) -2(-11/4x -5/2)
(-11/2x +3) +22/4x +10/2
-11/2x +3 +11/2x +5
8
If the sum and product
of roots of a quadratic
equation are -7/2 and
5/2 respectively,then
the equation is :
Answer:
The equation is y = 2x² + 7x + 5
Step-by-step explanation:
In the quadratic equation y = ax² + bx + c
The roots of it are the values of x at y = 0The sum of the two roots = [tex]\frac{-b}{a}[/tex]The product of the two roots = [tex]\frac{c}{a}[/tex]∵ The sum of the roots is [tex]\frac{-7}{2}[/tex]
∵ The product of the roots is [tex]\frac{5}{2}[/tex]
→ By using the rules above
∴ [tex]\frac{-b}{a}[/tex] = [tex]\frac{-7}{2}[/tex]
∴ [tex]\frac{c}{a}[/tex] = [tex]\frac{5}{2}[/tex]
→ Compare between them
∴ a = 2
∴ -b = -7 ⇒ divide both sides by -1
∴ b = 7
∴ c = 5
∵ The form of the quadratic function is y = ax² + bx + c
→ Substitute the values of a, b, and c in it
∴ y = 2x² + 7x + 5
∴ The equation is y = 2x² + 7x + 5
There were 130 faculty at a conference. If there were 18 more women than men attending, how many of each gender attended the conference?
Answer:
the number of men be 56
And, the number of women be 74
Step-by-step explanation:
The computation of the number of each genders attended the conference is shown below;
Let us assume the number of men be x
And, the number of women be y
Now the equations would be
x + y = 130 .............. (1)
And,
y = 18 + x ................ (2)
Now put the y value in the equation 1
x + 18 + x = 130
2x = 130 - 18
2x = 112
x = 56
Now the y is
= 18 + 56
= 74
So, the number of men be 56
And, the number of women be 74
Business math pls help
About 7% of the population has a particular genetic mutation. 400 people are randomly selected. Find the standard deviation for the number of people with the genetic mutation in such groups of 400.
Answer:
5.10 people
Step-by-step explanation:
Calculation to Find the standard deviation for the number of people with the genetic mutation
Using this formula
Standard deviation = √ ( n * p * q)
Where,
n = 400
p = .07
q = 100%-7% = 93% or .93
Let plug in the formula
Standard deviation =√400*07*.93
Standard deviation =√26.04
Standard deviation = 5.10 people
Therefore the standard deviation for the number of people with the genetic mutation is 5.10 people.
Last year Jeremy weighed 70 bounds this year he weights 84 pounds by what percent did Jeremy weights increase from last year to this year
If a decimal is only in the ____, you can move it up into the quotient
Answer:
Divident
Step-by-step explanation:
What fraction of this shape is shaded?
You must give your answer in its simplest form.
Type here
The fraction of the shape which is shaded in simplest form is 1/3.
The square in the diagram provided has a total of 12 boxes .
The number of shaded part is 4
To calculate the shaded fraction of the shape we have to use the formula:
Number of shaded part/ Total number of boxes present.
= 4/12
We can divide the numerator and denominator by 4 to get the simplest form.
= 1/3
The fraction of the shape which is shaded in simplest form is therefore
= 1/3.
Read more about Fraction here https://brainly.com/question/17743912
12.
Question 19 (5 points)
2 - (-8) + (-3) =
15
OA) 1
18
B) 14
12
O
D) 7
Answer:
The answer is d because 10-3 is 7
Answer:
D)7
Step-by-step explanation:
2 - (-8) + (-3) =
10-3 =7
Please help me. What’s the answer ?
Answer:
D
Step-by-step explanation:
D
Write an equation for the line in the given form.
slope is 5 and (-3, 2) is on the line; point-slope form=
The formula for calculating simple interest, I, is I = prt where p is the principle, r is the rate and t is the time. Solve for p.
1. I - rt
2. I + rt
3. I/rt
4. rt/I
The solution of the formula for p is p = I/ rt which is divided by the principle p times r. which is the correct answer would be an option (C)
What is the simple interest?Simple interest is defined as interest paid on the original principal and calculated with the following formula:
S.I. = P × R × T, where P = Principal, R = Rate of Interest in % per annum, and T = Time, usually calculated as the number of years. The rate of interest is in percentage r% and is to be written as r/100
Given that the formula as:
⇒ I = prt
where I = Interest, P = principal,
R = rate and T = time is used to calculate the amount of simple interest earned.
⇒ I = prt
After getting P on one side, you must divide rt to get the letter p by itself.
⇒ I = prt
⇒ p = I/ rt
Hence, the correct answer would be option (C)
Learn more about the simple interest here:
brainly.com/question/22621039
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Martinez bought 8 3/4 yd of fabric. She wants to make a skirt using 1 7/8 yd, pants using 2 3/8, and a vest using 1 2/3 yd. how much fabric will be left over?
Please help ASAP!!! :(
Answer:
The fabric left over will be [tex]2\frac{5}{6}[/tex]
Step-by-step explanation:
Total fabric bought= [tex]8\frac{3}{4} \ yd[/tex]
Fabric used for skirt = [tex]1\frac{7}{8} \ yd[/tex]
Fabric used for pants = [tex]2\frac{3}{8} \ yd[/tex]
Fabric used for vest = [tex]1\frac{2}{3} \ yd[/tex]
Total fabric used = Fabric used for skirt+Fabric used for pants+Fabric used for vest
Total fabric used=[tex]1\frac{7}{8}+2\frac{3}{8}+1\frac{2}{3}[/tex]
[tex]=\frac{15}{8}+\frac{19}{8}+\frac{5}{3}\\=\frac{15*3+19*3+5*8}{24}\\=\frac{45+57+40}{24}\\=\frac{142}{24} \\=\frac{71}{12}[/tex]
So, Total fabric used = [tex]\frac{71}{12}[/tex]
Total Fabric left= Total fabric bought-Total fabric used
Total Fabric left=[tex]8\frac{3}{4}-\frac{71}{12}[/tex]
[tex]=\frac{35}{4}-\frac{71}{12}\\=\frac{35*3-71}{12} \\=\frac{105-71}{12}\\=\frac{34}{12}\\=\frac{17}{6}\\=2\frac{5}{6}[/tex]
So, the fabric left over will be [tex]2\frac{5}{6}[/tex]
can someone help me pls
Answer:use a calculator if you want since all you do is put in the calculator
Step-by-step explanation:
3/7 is 0.428571428
meanwhile 1/4 is 0.25...
which one do you think is bigger
3/7
so it is greater
A line has a slope of - 3 and passes through the point (-3, 8). What is the equation of the line?
A. Y=-2/3x+6
B. Y=-2/3x+8
C. Y=6x-2/3
D. Y=8x-2/3
Answer:
y = -3x-1
Step-by-step explanation:
Point-slope equation of a line
y-y1=m(x-x1)
(x1,y1) are coordinates of a point in the line = (-3,8)
m is the slope of the line = -3
Fill in what you know and move constants to get y by itself (y=mx + b ... slope-intercept equation)
y-8=-3(x+3)
y-8=-3x-9
+8 +8
y = -3x-1
None of the options are correct
Rewrite 2y = 6 in slope-intercept form. Give the slope and y-intercept.
y =
m =
b =
Answer:
y = 3
m = 0
b = (0, 3)
Step-by-step explanation:
To put it in slope intercept form, divide each side by 2:
2y = 6
y = 3
So, y = 3 is the equation in slope intercept form.
The slope is 0, since there is no x value in the equation.
The y-intercept is (0, 3) since the equation is just y = 3.
Guys I will mark brainliest if you get this right
Answer:
[tex]\frac{1}{4}[/tex]
Step-by-step explanation:
[tex]\frac{\frac{7}{8} - \frac{2}{3}}{\frac{5}{6}}\\\frac{7}{8}=\frac{21}{24}\\\frac{2}{3}=\frac{16}{24}\\\frac{21}{24}-\frac{16}{24}=\frac{5}{24}\\\frac{5}{24}*\frac{6}{5}=\frac{1}{4}[/tex]
Les had $32.00 when he went to the city Market to buy some fresh fruits and vegetables. When he left, he had $23.05. How much money did he spend on food?
Answer:
$8.95
Step-by-step explanation:
61 meters = _____ feet
I'LL GIVE BRAINLIEST!
Answer:
200.131234
Step-by-step explanation:
What is the equation, in slope-intercept form, of the line
that is perpendicular to the given line and passes through
the point (2, -1)?
A)y = -1/3 x -1/3
B)y = -1/3 x -5/3
C)y = 3x - 3
D)y = 3x - 7
Answer:
My guess would be D.
Step-by-step explanation:
We can eliminate A and B right away considering the Slope of the first equation is already -1/3 and we need the slope to be opposite to be perpendicular. So right then It is either C or D. and with C It doesn't seem like the line intersecting the line above would be parallel so my guess is D.
I need help answering. Thanks.
Answer:
28
Step-by-step explanation:
C or B's so 30% + 40% = 70% so:
70/100 multiplied by 40 because 40 students
7/10 times 40 = 28
Plzzzz Helppppp
What’s 26+5×1÷2 Explain Your Answer
Answer:
[tex]26 + 5 \times \frac{1}{2} \\ \\ = 26 + \frac{5}{2} \\ \\ = \frac{57}{2} [/tex]
Answer: 28.5
Step-by-step explanation: 26 + ((5*1) / 2 = 28.5. Knowledge.
CUZ THATS THE WAY I LIKE TO LIVE MY LIFE, AND I KNOW THAT EVERYTHINGS GONNA BE JUST FINE!!
suma de fraccion 1/5 + 5/8
33/40
Step-by-step explanation:
you have to look for the lcm
1/5+5/8
8/40+25/40=33/40
there are 4 circles and 16 squares. What is the simplest ratio of circles to total shapes?
Adam has joined a book club. The membership has an initial fee of $25.00 and each book rental costs $2.00. This table shows the linear relationship between the total cost, y, and the number of books Adam rents, x. Fill in each box to correctly model the relationship between x and y. Number of books rented, x 3 6 12 15 Total Cost, y $31.00 $ $43.00 $ $55.00
Answer:
Do you have a screenshot of the table? I’m struggling to visualise it with the data given.
Step-by-step explanation:
Answer:
$37.00 9 $49.00
Step-by-step explanation:
First, write the fractions as decimals.
3
4
is
vand
11
1
2
IS
Next, plot the numbers on the number line.
The least number is
The greatest number is
The correct order from least to greatest is
Answer: d,d,a,,d,c,
Step-by-step explanation:
Answer:
ddadc
Step-by-step explanation:
HELP PLEASE I BEG U
A motorcycle rental agency uses the formula shown to calculate the price to rent a motorcycle for one day, where P is the price, and m is the number of miles driven
P(m) = 45 +0.15m
The domain of this equation is m >0. Why is this the case?
A The number of miles driven will always be greater than or equal to zero and cannot be less than zero.
B.The price to rent the motorcycle will always be greater than or equal to zero.
C.The domain of any linear function with a decimal slope is never zero.
D.This is incorrect. The domain of any linear function is all real numbers and is not dependent on context.
9514 1404 393
Answer:
A The number of miles driven will always be greater than or equal to zero and cannot be less than zero.
Step-by-step explanation:
The domain of a function such as this is the set of values that realistically may be given as input to the function. We know of no way to ride a motorcycle a negative number of miles, so the domain must be non-negative numbers.
__
In real life, the domain is likely non-negative integers.
HELP PLEASE!!!! It's overdue :(
1: y = 3x + 42
2: y = 3(40) + 42
y = 162
3: Bob put 657 in a bank account. He gained 2 times the amount per year. y = 2x + 657
Plz give brainliest.
The equation of line j is y= -6/7x +7.Line k is perpendicular to j.What is the slope of line k?
Simplify your answer and write it as a proper fraction,improper fraction,or integer.
Answer:
y=7/6x
Step-by-step explanation:
When given an equation and asked to find the equation of a perpendicular line that intersects it, you know that the slope is the slope of the equation is the negative recipricoal of the given equation. i.e. y=2x+2 and y=-1/2x+2. The y-intercept does not matter.
I hope you understood and that this helps!
Please explain as well how to do it. Thanks!
Answer:
The answer is B.
Step-by-step explanation:
Please refer to the attachment (ignore the horrible drawing, thank you).
Let the distance from P to T be red. The length of the red distance is x radians.
T’ is π-x. Thus, it is the red distance subtracted from the purple distance.
So, T’ is the reflection of T across the y-axis.
Therefore, we can simply multiply the x-coordinate of T to get T’.
T is (3/5, 4/5)
Then T’ must be (-3/5, 4/5).
Hence, our answer is B.
The rate of 225 mi in 7 hr written as a unit rate
Answer:
32.14 an hour
Step-by-step explanation:
Answer:
32.142857 miles per hour
Step-by-step explanation:
This is the answer because:
This is a fraction equal to
225 miles ÷ 7 hours
We want a unit rate where 1 is in the denominator, so we divide top and bottom by 7 .
225/7 = 225/7 and 7/7 = 32.142857/1
Therefore, the answer is 32.142857 miles per hour.
Hope this helps!