Answer:
The y-intercept is (0, 8)
The x-intercepts are (2, 0) and (4, 0)
The axis of symmetry is a vertical line at x = 3
The vertex is (3, -1)
The graph has a minimum value -1 at x = 3
The domain is {x: x ∈ R} ⇒ (-∞, ∞)
The range is {y: y ≥ -1} ⇒ [-1, ∞)
Step-by-step explanation:
By using the given figure
The figure represents a parabola (the graph of a quadratic function
∵ The parabola intersects the y-axis at point (0, 8)
∴ The y-intercept is (0, 8)
∵ The parabola intersects the x-axis at point (2, 0) and (4, 0)
∴ The x-intercepts are (2, 0) and (4, 0)
∵ The axis of symmetry of the parabola is a vertical line that passes
through the vertex of it
∵ The x-coordinate of the vertex point is 3
∴ The axis of symmetry is a vertical line at x = 3
∵ The vertex of the parabola is the lowest point on the graph
∵ The lowest point is (3, -1)
∴ The vertex is (3, -1)
∵ The vertex point of the graph is the lowest
∴ The graph has a minimum value -1 at x = 3
∵ The domain is all values of x belong to the parabola
∵ x could be any real number
∴ The domain is {x: x ∈ R} ⇒ (-∞, ∞)
∵ The range is all the values of y from the lowest point
∵ The y-coordinate of the lowest point is -1
∴ The range is {y: y ≥ -1} ⇒ [-1, ∞)
You might need:
Calculator
ZB
Round your answer to the nearest hundredth.
С
5
2
B
Anyone know?
Answer:
Step-by-step explanation:
One zettabyte is equal to 1, 000 exabytes or 1021 or 1, 000, 000, 000, 000, 000, 000, 000 bytes. A zettabyte is a little bit smaller than zebibyte that contains 1, 180, 591, 620, 717, 411, 303, 424 (2^70) bytes, and is abbreviated as “ZB”.
A study involves a population of 400 tall women. This population has a mean height of 179.832 cm and a standard deviation of 12.192 cm. If 50 of these women are randomly selected, find the probability that the mean for this sample group is above 182.88
Answer: 0.0386
Step-by-step explanation:
Given: The population of 400 tall women has a mean height[tex](\mu)[/tex] of 179.832 cm and a standard deviation[tex](\sigma)[/tex] of 12.192 cm.
Let X be a random variable that represents the height of woman.
Sample size : n= 50
The probability that the mean for this sample group is above 182.88 will be :
[tex]P(\overline{X}>182.88)\\\\=P(\dfrac{\overline{X}-\mu}{\dfrac{\sigma}{\sqrt{n}}}>\dfrac{182.88-179.832}{\dfrac{12.192}{\sqrt{50}}})\\\\ =P(Z>1.7678)\ \ \ [Z=\dfrac{\overline{X}-\mu}{\dfrac{\sigma}{\sqrt{n}}}]\\\\=1-P(Z<1.7678)\\\\=1-0.9614\ \ \ [\text{By p-value table}]\\\\= 0.0386[/tex]
Hence, Required probability = 0.0386
Solve for x.
3x - 7(2x + 6) = 22
PLS I NEED IT RIGHT NOWW
Answer:
x=-64/11
Step-by-step explanation:
3x-14x-42=22
-11x-42=22
-11x-42+42=22+42
-11x=64
Answer:
[tex] - 5 \frac{9}{11} [/tex]
Step-by-step explanation:
[tex]3x - 7(2x + 6) = 22 \\ \\ 3x - 14x - 42 = 22 \\ \\ - 11x = 22 + 42 \\ \\ - 11x = 64 \\ \\ x = \frac{64}{ - 11} \\ \\ x = - 5 \frac{9}{11} [/tex]
In a school orchestra, the ratio of girls to boys is 3 : 2. There are 75 students in the orchestra. How many boys are in the orchestra?
There were 30 boys in Orchestra.
We have,
Total students in Orchestra= 75
Ratio of Girls to Boys = 3 :2
So, Number of Girls in Orchestra
= 3/5 x 75
= 3 x 15
= 45
and, Number of Boys in Orchestra
= 2/5 x 75
= 2 x 15
= 30
Thus, 30 Boys were in Orchestra.
Learn more about Ratio here:
https://brainly.com/question/13419413
#SPJ3
HELP PLZ THIS IS DUE IN 7 MINS AND I WILL GIVE U BRAINLIEST JUST PLZ....
Answer: you add 1/6 each time and add the hour until you get 2/3
Step-by-step explanation: 1/6=1 1/3=2 and you keep going
Answer:
You can use the number line to find how many hours it will take the company to build the fence by multiplying whatever number you land on by 6
Step-by-step explanation:
If they build one mile of fence, it took 6 hours to build that much
If they build three miles of fence, it took them 18 hours to build that much
And so on and so forth
Solve 2x<10. Explain how to find the solution set.
Answer:
X<5
Step-by-step explanation:
Divide by 2
Answer=5
Step-by-step explanation:
You can solve this question step by step as follows;
here
2x<10
place 2 to another side and you know it divides 10
or, x<10/2
or,x<5
therefore the answer is 5
1.factor 12x^2+9
2.factor 25x^2-35
3.factor -x^2 - 2x
4.factor -5x^2+7x
5.factor -14x^2-7x
6.factor 27x^2-9x
Solve: log x = 2 (note: x is a subscript)
Answer:
Wouldn't it be just 2 since it's already solved
Can you help me please urgently
Answer:
x^2 = y
Step-by-step explanation:
Answer:
m =6
Step-by-step explanation:
a+4=48
vtdcvjyKBFHDAKu
44
Step-by-step explanation:
a+4=48
a+4=48
a=48-4
a=44
Can anyone give me some good animes to watch on Netflix and Hulu? Preferably in English. Thanks in advance. I like action animes best btw, but I'll try whatever
Answer:
black clover on hulu and I guess sword art online on Netflix
depends which animes have you seen? you could watch psycho pass, baki, parasyte, kakeguri, black clover, and One Piece
392,196 divided by 87 (Using long division)
The result of 392,196 divided by 87 is 4,508.
What is long division?Long division is a mathematical process to divide numbers by using multiple steps. This process is applied to big numbers because it facilitates the process of dividing without using a calculator.
What are the steps for long division?Here are the steps you need to follow:
1. Identify the divident and the divisor.
Divident: 392,196
Divisor: 87 (number that divides)
2. Start dividing using one number at a time.
39 / 87 = 0392 / 87 = 4 (87x 4 = 348) - 4 is the first digit of the result392 - 348 = 44 (remainder)441 (next digit is one) / 87 = 5 (87x 5= 435) - 5 is the second digit441-435 = 6 (remainder)69 / 87 = not possible so add a 0, which is the third digit696 / 87 = 8 (87x 8 = 696)696- 696 = 0 (not remainder)Learn more about division in: https://brainly.com/question/369266
Write a rational inequality with the solution: (-2,-1)U(1, oo)
Answer:
[tex]\displaystyle \frac{x^2+3x+2}{1-x}<0[/tex]
Step-by-step explanation:
Rational Inequality
We are given the solution of rational inequality:
(-2,-1) U (1,∞)
The first set suggests a limited zone than can be obtained by a quadratic equation of the form:
[tex](x-a)(x-b)<0[/tex]
Where a and b are the roots of the equation, which coincide with the endpoints of the interval. Thus, to get the interval, we can use:
[tex](x+2)(x+1)<0[/tex]
Operating:
[tex]x^2+3x+2<0[/tex]
The second set is an open infinite interval, that can be modeled as a third binomial that changes signs in x=1 and is in the denominator, so x=1 is not included.
Thus, one possible inequality is:
[tex]\mathbf{\displaystyle \frac{x^2+3x+2}{1-x}<0}[/tex]
The solution to the inequality (-2,-1)U(1, ∞) is (-2, ∞)
Inequality
An inequality is an expression used to show the relationship between two or more numbers and variables.
A rational inequality is an inequality that contains a rational expression.
Given the inequality (-2,-1)U(1, ∞).
The solution to the inequality is (-2, ∞)
Find out more about Inequality at: https://brainly.com/question/24372553
How many solutions does y=x^2+5x-7 have
Answer:
2
Step-by-step explanation:
because their is 2 x's
what is the y-intercept of 10x + 5y = 30
Answer: 6
Step-by-step explanation: The y-intercept is 6 and the slope is -2.
First, we subtract 10x.
5y = -10x+30
Then we divide by 5.
y = -2x + 6
Now we have everything we need!
So the y-intercept is 6.
Hope this helps! :)
The y-intercept is "6".
Intercept:Given:
[tex]10x+5y=30[/tex]
y-intercept
[tex]10x+5y=30[/tex] y-intercepts
When y-intercepts the value it indicates that x=0 then
[tex]\to 10x+5y=30\\\\\to 10(0)+5y=30\\\\\to 5y=30\\\\\to y=\frac{30}{5}\\\\\to y=6[/tex]
When the y-intercept is value will be "6".
Find out more information about intercept here:
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-2m=6
Solve the equation using full working out
Answer:
m = -3
Step-by-step explanation:
-2m=6
Divide both sides by (-2).
m = 6 ÷ (-2)
m = -3
yall please hurry i WILL MARK BRAINLEST IF CORRECT OR FOR FIRST PERSON
Which statement is correct? StartFraction 3.56 times 10 Superscript 2 Baseline Over 1.09 times 10 Superscript 4 Baseline EndFraction less-than-or-equal-to (4.08 times 10 Superscript 2 Baseline) (1.95 times 10 Superscript negative 6 baseline) StartFraction 3.56 times 10 Superscript 2 Baseline Over 1.09 times 10 Superscript 4 Baseline EndFraction less-than (4.08 times 10 Superscript 2 Baseline) (1.95 times 10 Superscript negative 6 baseline) StartFraction 3.56 times 10 Superscript 2 Baseline Over 1.09 times 10 Superscript 4 Baseline EndFraction greater-than (4.08 times 10 Superscript 2 Baseline) (1.95 times 10 Superscript negative 6 baseline) StartFraction 3.56 times 10 Superscript 2 Baseline Over 1.09 times 10 Superscript 4 Baseline EndFraction = (4.08 times 10 Superscript 2 Baseline) (1.95 times 10 Superscript negative 6 baseline)
Answer:
A EDGE 2021!
Step-by-step explanation:
Elwin is attempting to read a 480 page book in 28 days. He reads the first 60 pages in 4 days. At this rate, will he finish the book in time? Show your work and/or explain your reasoning.
Answer:
No, he won't
Step-by-step explanation:
Given
Target = 480 pages in 28 days
Rate = 60 pages in 4 days
Required:
Determine if he'll reach his target
The rate can be expressed using:
[tex]Rate = \frac{Pages}{Days}[/tex]
So, we have:
[tex]Rate = \frac{60\ pages}{4\ days}[/tex]
Multiply the fraction by [tex]\frac{7}{7}[/tex]
[tex]Rate = \frac{60\ pages}{4\ days} * \frac{7}{7}[/tex]
[tex]Rate = \frac{60\ pages * 7}{4\ days * 7}[/tex]
[tex]Rate = \frac{420\ pages}{28\ days}[/tex]
This can be interpreted as: 420 pages in 28 days
And his target is 480 pages in 28 days
Hence, he wont finish the book at that rate
i need help to solve please
Answer:
x = 24
Step-by-step explanation:
Here, The Right angled triangle is given
So, The sum of angles of right angled triangle is 180
Now,
2x + 42 + 90 = 180
2x + 132 = 180
2x = 180 - 132
2x = 48
x = 48/2
x = 24
FOR VERIFICATION ONLY:2x + 42 + 90 = 180
2(24) + 42 + 90 = 180
48 + 42 + 90 = 180
180 = 180
Hence, L.H.S = R.H.S
-TheUnknownScientist
first person to answer get brainliest. 75 × 62 - 58 + 68 - 58
Answer:
4602
Step-by-step explanation:
Answer:75 × 62 - 58 + 68 - 58 = 4602
Step-by-step explanation:
helpieeeeeeeeeeeeeeeee plzzzzzzzzzzzz owo Will make brainlist
Answer:
9x^2-3x - 12
Step-by-step explanation:
(9x^2 + 6x - 7) + (-9x -5)
Simplify the expression:
9x^2 - 3x - 12
Factor:
Add and subtract the second term to the expression and factor by grouping.
3( x + 1 ) ( 3x - 4 )
Standard form:
9x^2 - 3x - 12
I hope this helps :)
HELP WILL GIVE BRAINEIST
Answer:
x > 9/5
Step-by-step explanation:
A tow truck company in Houston charges a $40 service call fee and an additional fee of $15 per mile that the vehicle is towed. Write an equation in slope intercept form where c represents the total cost and m, represents the number of miles the vehicle is towed.
Answer:
c=15m+40Step-by-step explanation:
Step one:
given data
charged = $40 call fee
additional charges= $15 per mile
let the number of miles be m
and let the total charges be c
Required, the linear function which represents the total charges
Step two:
the equation for the charges in slope-intercept form is
c=15m+40
What is the solution set for 9x2-25=0
Answer: i hope i helped if not im truly sorry
Solving for 9x^2 - 25 = 0
Standard form:
9x2 − 25 = 0
Solutions based on quadratic formula:
x1
= −0 − √ 02 − 4×9×(−25)
2×9
= 0 − 30 × √ 1
18
≈ −1.667
x2
= −0 + √ 02 − 4×9×(−25)
2×9
= 0 + 30 × √ 1
18
≈ 1.667
Extrema:
Min = (0, −25)
Step-by-step explanation: im not dumb and im not smart
Bill buys a new machine.
The value of the machine depreciates by 20% each year.
Bill wants to work out the value of the machine after 2 years.
By what single decimal number should Bill multiply the value of the machine when new?
Answer:
For a, the machine depreciates 20% of its current value each year. So, It will lose 20% of its value in the first year. Then in the second year, it will lose 20% of THAT value (not of the original value) and so on.
b) Since the machine loses 20% of its value each year, it retains 80% of its value each
Write the equation in slope intercept form that has a slope of -3 and goes through the point
(0, 3).
Answer:
y=-3x+3
Step-by-step explanation:
your y in your points in the b in y=mx+b because it's the y intercept and then the slope is -3
find the slope of a line parallel to each given line y = x + 2
Answer:
y = x + 4
Step-by-step explanation:
For a line to be Parallel it has to have the same slope but different y intercept
Answer:
1
Step-by-step explanation:
This equation is written in the
y = mx + b,
where "m" is the slope, and "b" is the y-intercept.
In this case, m=1, hence the "x" has no coefficient; therefore, the slope of the given line is 1.
When 2 lines are parallel, they run next to each other, for infinitely long, yet they never touch. This means that 2 parallel lines have the same slope. Hence a line running parallel to the given one will also have a slope of 1.
A farmer receives a shipment of 40 1/2 kilograms of animal food. The animal food comes in bags weighing 13 1/2. What is the value of 40 1/2 divided by 13 1/2
Answer:
3
Step-by-step explanation:
Given that:
Weight of shipment = 40 1/2 kg
Weight per bag = 13 1/2 kg
The value of 40 1/2 divided by 13 1/2 will be ;
40 1/2 ÷ 13 1/2
81 /2 ÷ 27 /2
81/2 * 2/27
= 162 /54
= 3
pls pls pls help! (if ur not gonna answer the question pls dont comment).
Answer:y-10=5/2(x-4) (the third choice)
Step-by-step explanation:
Point slope form is
y-y1=m(x-x1)
So y-10=5/2(x-4)
True or False. Rotations do NOT preserve lengths of segments and degrees of
measures of angles.
True
False
Answer:
false
Step-by-step explanation: