Answers
Related Questions
solve the equation (x-4) (x+9) = 0
Answers
Answer:
x = 4,-9
Step-by-step explanation:
This is a quadratic equation in x-intercept pattern. Since this is completely factored, we can simply solve the equation like a linear.
First, separate two equations. Let r be the roots of equation, therefore:
[tex]\displaystyle \large{r=\begin{cases}x-4=0\\ x+9=0 \end{cases}}[/tex]
I use the r-variable to denote the roots of equations (not necessary), simply separate both then solve it like a linear.
[tex]\displaystyle \large{r=\begin{cases}x-4+4=0+4\\ x+9-9=0-9 \end{cases}}\\\displaystyle \large{r=\begin{cases}x=4\\ x=-9 \end{cases}}[/tex]
Therefore, the roots of equation are x = 4 or x = -9. In short, we can write as x = 4,-9.
The reason why we use OR instead of AND because one of x-values satisfy the quadratic equation hence ‘or’ is more suitable than ‘and’. However, you must write all valid solutions instead of writing only one x-value from two.
___________________
Let me know in the comment if you have any questions.
30 POINTS
Suppose the average age of 42 meerkats in a clan is known to be 5.2 years-old. Which statement BEST describes a random sample of 15 meerkats from the clan?
A) The random sample of 15 meerkats should be exactly 5.2 years-old.
B) The random sample of 15 meerkats should be close to 5.2 years-old.
C) The random sample of 15 meerkats should be more than 5.2 years old.
D) The random sample of 15 meerkats should be less than 5.2 years old.
Answers
Using the Central Limit Theorem, it is found that the correct option is:
B) The random sample of 15 meerkats should be close to 5.2 years-old.The Central Limit Theorem states that taking a sample of size n for a population of mean [tex]\mu[/tex], the sample means are going to be close to [tex]\mu[/tex].
The larger the value of n, the closer the sample mean should be to [tex]\mu[/tex]In the context of this problem, the sample mean should be close to 5.2 years old, and the correct option is B.
For more on the Central Limit Theorem, you can check https://brainly.com/question/25581475
Answer:
its b
Step-by-step explanation:
on usatp
How do I find the percentage of two column data table?
Answers
Answer:
a) 47.7%
b) 87.2%
Step-by-step explanation:
Find the ratio of interest, and convert it to a percentage.
a)(messy right-handed writers)/(right-handed writers)
= 31/65 = 31/65 × 100% ≈ 47.7%
__
b)(neat right-handed writers)/(neat writers)
= 34/39 = 34/39 × 100% ≈ 87.2%
A, E and B lie on a straight line segment.
C, D and B lie on a straight line segment.
BD = 3m, CD = 15m and AB = 21m.
Work out the length of BE.
Give your answer as a decimal.
Answers
The length of line BE on the given line segment is 3.5 m.
The given parameters:
Length BD = 3 mLength CD = 15 mLength AB = 21 mThe sketch of the given line segments is presented in the diagram uploaded.
The length of BE is determined by applying similar triangle theorem as follows;
[tex]\frac{CB}{AB} = \frac{BD}{EB} \\\\\frac{15 + 3}{21} = \frac{3}{EB} \\\\18EB = 63 \\\\EB = \frac{63}{18} \\\\EB = 3.5 \ m[/tex]
Thus, the length of line BE on the given line segment is 3.5 m.
Learn more about similar triangle here: https://brainly.com/question/11899908
help pls!! I will mark brainliest!! :(
Answers
Answer:
Three choice
Step-by-step explanation:
I think.
What is an equation for the linear function whose graph contains the points (2, 5) and (3, 0)?
Enter your answers in the boxes.
y−
=
(x−2)
Answers
Answer:
y = -5x + 15
Step-by-step explanation:
We'll look for a linear function of the form y = mx + b, where m is the slope and b is the y-intercept.
We can determine a slope from the two given points by calculating a Rise/Run. Starting at (2,5) and going to (3,0):
Rise = (0 - 5) = -5
Run = (3-2) = 1
Rise/Run = Slope, m) = -(5/1) or -5
Now we have y = -5x + b
To find b, enter either of the two points and solve for b. I'll use (3,0), because I know my zero multiplication and addition tables by heart.
y = -5x + b
0 = -5(3) + b
b = 15
The equation becomes y = -5x + 15
See attachment.
(1 pc
3. A recipe calls for 4 cups of sugar to make 4 dozen cookies. Use the proportion to calculate
how much sugar is needed to make 8 dozen cookies.
4 cups
x cups
4 dozen 8 dozen
O2 cups
08 cups
08.5 cups
0 12 cups
I really need help! I give Brainly-est
Answers
Answer:
8cups
Step-by-step explanation:
if it takes 4-cups for 4-dozen. That's 1-cup each dozen so 8-dozen is 8-cups
two hundred and seven thousand in standard form
Answers
Answer:
7,200
Step-by-step explanation:
I hope this helps!
f(x) = -3x – 12
g(x) = 3x2 – 2x – 14
Answers
Answer:x
=
2
3
,
−
1
Step-by-step explanation:
k/5.6+ 41.5 = 10.8
The solution is k=
Answers
Answer: The solution is k = -171.92.
Answer:
k = - 171.92
Step-by-step explanation:
[tex]\frac{k}{5.6}[/tex] + 41.5 = 10.8 ( subtract 41.5 from both sides )
[tex]\frac{k}{5.6}[/tex] = - 30.7 ( multiply both sides by 5.6 to clear the fraction )
k = - 171.92
GIVING BRAINLIEST. please help!
Answers
Which expression shows a way to factor 20+24?
Answers
Answer:
20+24= 2(10+12) = 4(5+6)
Those are two ways to factor 20+24.
If 7 is subtracted from half of a number, the result is 14. Find the number.
a.41
b.42
c.43
d.44
Answers
Answer:
The number is 42.
Hope you could get an idea from here.
Doubt clarification - use comment section.
Visualise the representation of 5.37(Bar over 7).
Using number line.
Answers
[tex] \: \: \: [/tex]
[tex] \pink{ 5.37}[/tex]
To visualize 5.37 more accurately, divide line segment between 5.37 and 5.38 in ten equal parts. 5.37 lies between 5.377 and 5.378.Again use divide above portion between 5.377 and 5.378 into 10 equal parts, which shows 5.37 is located closer to 5.3778 than to 5.3777 so we can get the answerhope it helpsSelect the correct answer.
Write an expression to represent the product of 6 and the square of a number plus 15.
In your expression, what is the value of the coefficient?
A.1
В.15
c. 6
D. 2
Answers
Answer:
15 in the correct answer
A lifeguard received 15 hours of first aid training and 10 hours of CPR training. What is the ratio of hours of CPR training to hours of first aid training?
Answers
Answer:
The ratio of hours of CPR training to hours of first aid training is 10:15
Step-by-step explanation:
a floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. how many tiles are needed to cover the floor?
Answers
9x12=108feet
6x4=24in
Convert 108 feet into inches which will become 1296 inches.
1296/24 will give u 54 tiles
Answer:
Step-by-step explanation:
12 inches per foot
The floor is 9(12) = 108 inches by
12(12) = 144 inches
The floor area is 108(144) = 15552 sq. In.
Each tile is 4(6) = 24 sq. in.
Need 15552/24 = 648 tiles
1.(01.01)
Evaluate -6 - (-1). (1 point)
5
-5
6
Answers
Answer:
I don't understand the question. Write it again & briefly.
Express the following as:
ax+by+c=0
-2x+3y=6
Answers
[tex] \color{magenta} \huge{answer}{} [/tex]
it can be expressed as -2x + 3y = 6on comparing with ax+by+c=0
We can find out that
[tex] \green{ \huge{a= -2}{} }[/tex]
[tex] \pink{ \huge{b = 3}{} }[/tex]
[tex] \color{magenta} \huge{c = 6}{} [/tex]
hope it helpsThe expression -22x + 3y = 6 in the form ax + by + c = 0 is -2x + 3y - 6 = 0
Linear EquationsThe given equation is:
-2x + 3y = 6
Comparing the equation above with ax + by + c = 0
Rewrite -2x + 3y = 6 in the form ax + by + c = 0
-2x + 3y - 6 = 0
If -2x + 3y - 6 = 0 is compared with ax + by + c = 0
a = -2, b = 3, c = -6
Therefore, the expression-22x + 3y = 6 in the form ax + by + c = 0 is -2x + 3y - 6 = 0
Learn more on linear equations here: https://brainly.com/question/14323743
3. Luigi lives 10 miles from work and rides his fancy Segway there each day. He rides past one
block every 45 seconds. Each block is 360 feet long. What is the rate, in feet per second at
which Luigi rides his Segway?
А
36 feet per second
B
80 feet per second
с
4.5 feet per second
D
8 feet per second
Answers
Method:
360/45=8
Tadaaaaa
Farhad George and Tom each did a test here are the marks for the test George drew this bar chart to show the mask they got the butcher is not fully correct write-down two things that are wrong with George bar chart
Answers
Answer:
where is the bar chart can u post an image to help
Find the values of the variable and the lengths of the sides.
Answers
Answer:
See answers below
Step-by-step explanation:
2x - 7 = x + 1 sides are equal
x - 7 = 1
x = 8
Find the length of each side
AD = 2x -7 BC = x + 1 AB = 2x - 2 DC = x - 1
AD = 2(8) - 7 BC = 8 + 1 AB = 2(8) - 2 DC = 8 - 1
AD = 16 - 7 BC = 9 AB = 16 - 2 DC = 7
AD = 9 AB = 14
please help!! (only correct answers and no links)
Four transformations of the function f(x) are given below.
For each transformation, drag the graph that shows the result of that transformation into the box under it.
Answers
Answer:
f(x) - 3 : the ones that move the graph down
f(x -3) : the ones that move the graph to the RIGHT
Step-by-step explanation:
graph transformations:
f (x-3):
if the number is inside the "()" sign with the x -> you will have to move the graph sideways (left or right), but it has a little twist: if the number is negative (i.e: f(x)-3), you will move the graph to the right, and if it is positive, you will move it to the left.
f (x) -3:
if the number is outside the "()" -> you will have to move the graph up or down. there is no twist here: if its negative, it goes down, if its positive, it goes up.
hope i could help:)
A triangle can have the side lengths of: 1, 10, and 10.
O True
O False
Answers
Answer:
True
Step-by-step explanation:
If you do this on paper, you can make a triangle but it will be close to a line, since the two side lengths are the same and that the last side length is 1.
Solve the quadratic equation 2x2 – x = 15 using the quadratic formula.
Question 6 options:
A)
x = –3, x = –5∕2
B)
x = –3, x = 5∕2
C)
x = 5∕2, x = 3
D)
x = – 5∕2, x = 3
which one is right. keep it simple
Answers
Answer:
B) x = 3 or x = -5/2
Step-by-step explanation:
Solve for x over the real numbers:
2 x^2 - x = 15
Subtract 15 from both sides:
2 x^2 - x - 15 = 0
x = (1 ± sqrt((-1)^2 - 4×2 (-15)))/(2×2) = (1 ± sqrt(1 + 120))/4 = (1 ± sqrt(121))/4:
x = (1 + sqrt(121))/4 or x = (1 - sqrt(121))/4
sqrt(121) = sqrt(11^2) = 11:
x = (1 + 11)/4 or x = (1 - 11)/4
(1 + 11)/4 = 12/4 = 3:
x = 3 or x = (1 - 11)/4
(1 - 11)/4 = -10/4 = -5/2:
Answer: x = 3 or x = -5/2
Answer this question.
You get a thank you and 5 stars if it's the correct answer.
Answers
Answer:
w = 5, x = 7, y = 6, z = 12
Step-by-step explanation:
Evaluate each row by solving the corresponding equation, that is
row 1
4w = 20 ( divide both sides by 4 )
w = 5
row 2
2w + 2x = 24 ( substitute w = 5 )
2(5) + 2x = 24
10 + 2x = 24 ( subtract 10 from both sides )
2x = 14 ( divide both sides by 2 )
x = 7
row 3
w + 2x + y = 25 , that is
5 + 2(7) + y = 25
5 + 14 + y = 25
19 + y = 25 ( subtract 19 from both sides )
y = 6
row 4
w + x + y + z = 30 , that is
5 + 7 + 6 + z = 30
18 + z = 30 ( subtract 18 from both sides )
z = 12
Anu and Aji solve an equation. In solving Anu commits a mistake in constant term and finds the roots 8 and 2. Aji commits a mistake in the coefficient of x. The correct roots are (a) 9,1 (b)-9,1 (c) 9, -1 (d) -9.-1
Answers
The correct roots of the equation are (a) 9 and 1
From the complete question, their mistakes are:
Anu
Roots: 8 and 2Wrong constant termAji
Roots: -9 and -1Wrong coefficientA quadratic equation is represented as:
[tex]ax^2 + bx + c = 0[/tex]
Where:
[tex]\alpha\beta = \frac ca[/tex] --- product of roots
[tex]\alpha + \beta = -\frac ba[/tex] --- sum of roots
Anu made a mistake in the constant term, so we consider the sum of roots
[tex]Sum = 8 + 2[/tex]
[tex]Sum = 10[/tex]
Aji made a mistake in the coefficient, so we consider the product of roots
[tex]Product = -9 \times -1[/tex]
[tex]Product = 9[/tex]
The possible equations from the above sum and products are:
[tex]x^2 + 10x + 9 =0[/tex].[tex]x^2 - 10x + 9 =0[/tex].[tex]x^2 + 10x - 9 =0[/tex].[tex]x^2 - 10x - 9 =0[/tex]Of all the above equations, the most likely equation is [tex]x^2 - 10x + 9 =0[/tex], and it has a root of 9 and 1
Hence, the correct roots are (a) 9 and 1
Read more about roots of equations at:
https://brainly.com/question/3923172
how much coffee is in the cup, it the cup if 7 feet by 7 feet, and 1 cubic foot = 7.48052
How much coffee in the cup, please show how you did it with pi, volume radius etc.
Answers
Answer:
the volume of a cylinder is pi r^2 h = 3.14.(3.5)^2. 5.5=211.55 cubic foot
211.55 x 7.48052 =1583.36 gallons.
Step-by-step explanation:
ASAP HELP Can a triangle have sides with the given lengths? Explain, showing all the work
8 ft, 9 ft, 18 ft
PLEASE EXPLAIN
Answers
Answer:
Yes
Step-by-step explanation:
the triangle is a scalene triangle (has no equal parts
What is the value of the expression
Answers
Answer:
Option C) 5/8 is correct.
For explanation, Refer to the attachment.
[tex]\Large\textsf{Hope \: It \: Helped}[/tex]
Answer:
C
Step-by-step explanation:
Substitute the values for v and w into the expression.
[tex]\frac{1}{2}[/tex] + ([tex]\frac{3}{4}[/tex] - [tex]\frac{5}{8}[/tex] )
= [tex]\frac{1}{2}[/tex] + ([tex]\frac{6}{8}[/tex] - [tex]\frac{5}{8}[/tex] )
= [tex]\frac{1}{2}[/tex] + [tex]\frac{1}{8}[/tex]
= [tex]\frac{4}{8}[/tex] + [tex]\frac{1}{8}[/tex]
= [tex]\frac{5}{8}[/tex] → C