Answer:
Algebra Examples
Popular Problems Algebra Graph f(x)=3x^2-5
f
(
x
)
=
3
x
2
−
5
Find the properties of the given parabola.
Tap for more steps...
Direction: Opens Up
Vertex:
(
0
,
−
5
)
Focus:
(
0
,
−
59
12
)
Axis of Symmetry:
x
=
0
Directrix:
y
=
−
61
12
Select a few
x
values, and plug them into the equation to find the corresponding
y
values. The
x
values should be selected around the vertex.
Tap for more steps...
x
y
−
2
7
−
1
−
2
0
−
5
1
−
2
2
7
Graph the parabola using its properties and the selected points.
Direction: Opens Up
Vertex:
(
0
,
−
5
)
Focus:
(
0
,
−
59
12
)
Axis of Symmetry:
x
=
0
Directrix:
y
=
−
61
12
x
y
−
2
7
−
1
−
2
0
−
5
1
−
2
2
7
image of graph
Step-by-step explanation:
For a quadratic equation where: 2++=0
a
x
2
+
b
x
+
c
=
0
Where: 2−4<0
b
2
−
4
a
c
<
0
How many solutions do you have?
State whether the solutions are rational, irrational, or non-real. Explain why.
Answer:
Solutions will be unreal
Step-by-step explanation:
Given the quadratic equation ax^2+bx+c
The discriminant of the function determines its nature of its root
Discriminant D = b^2-4ac
If D <0, it shows that the roots of the equation will be a complex value. since D is less than 0 and the square root of a negative number does not exist. Hence, the solutions will be unreal
A 6-sided die rolled twice. Let E be the event the first roll is a 5 and F the event "the second roll is a 5".
(a) Are the events E and F independent? |
Input Yes or No: Yes
(b) Find the probability of showing a 5 on both rolls. Write your answer as a reduced fraction.
Answer:
Which number-line model represents the sum of 3/4 + (-1.75)?
Step-by-step explanation:
The fraction of -1.75 is -1 3/4
So, 3/4 + (-1 3/4) = 1.
A parallelogram has an area of 316.35 square inches and a base of 18.5 inches. What is the height
Answer:
17.1
Step-by-step explanation:
h=A/b
h= 316.35/18.5
h=17.1
Find (g times f) (3)
f(x)=3x-2
g(x)=x^2
A trapezoid with a height of 19 meters has a base of 26 meters and another base of 46 meters. What is the area of the trapezoid?
the area of the trapezoid is
A 342m2 B 598m2 C 684 m2D 1,368m2
Answer:684
Step-by-step explanation:
A= 1/2 h (b1+b2)
A= 1/2 19 (46+26)
A= 9.5 (72)
A=684
Dwayne solved 6 ÷ 1/5 by using related multiplaction expression what is a related multiplaction expresion for 6 ÷ 1/5
Answer:
30
Step-by-step explanation:
It is keep change flip
Answer:
30
Step-by-step explanation:
Find the volume of the object
Answer:
v=(6*9*12)
Step-by-step explanation:
Answer:
[tex]volume = \frac{1}{3} (length \times breadth \times height )\\ = (12 \times 9 \times 6) \frac{1}{3} [/tex]
WILL GIVE BRAINLYIST FOR WHOSE RIGHT ITS TIMED TOO
Which metric unit name means “hundredth meters”?
A. millimeters
B. centimeters
C. meters
D. kilometers
Answer: Centimeters
Step By Step: 1 centimeter is equivalent to one hundredth of a meter. 1 millimeter is equivalent to one thousandth of a meter.
Answer: b
Step-by-step explanation:
Find the length of the missing side of the right triangle shown.
Answer:
17
Step-by-step explanation:
15^2 + 8^2 = 225 + 64 = 289
[tex] \sqrt{289} [/tex]=17
38. The number of bottles a machine fills is proportional to the number of minutes the
machine operates. The machine fills 250 bottles every 20 minutes. Create a graph that
shows the number of bottles, y, the machine fills in x minutes.
Answer:
250/20 = 12.5/min
2 min = 25 bottles
The machine fills 25 bottles every two minutes. So you should make points (minutes, bottles) at (0,0), (2,25), (4,50), (6,75), (8,100), (10,125) and draw a line connecting them.
Arsenic concentration in public drinking water supplies is potential health risk. An investigator collected data of arsenic concentration in parts per billion (ppb) from 10 metropolitan phoenix communities and 10 rural Arizona. Under = 5%, can the investigator conclude that the metropolitan phoenix water is different from the rural Arizona when it comes to the Arsenic concentration
Answer:
Hello your question has some missing data below is the missing data
answer : The Investigator can conclude that the metropolitan phoenix water is different from the rural Arizona ( to = -2.77 which is < 0.05 )
Step-by-step explanation:
The hypothesis ;
H0 : μ1 = μ2
Ha : μ1 ≠ μ2
significance level ( ∝ ) = 0.05
calculate for degree of freedom ( df ) = 13.2 ( using excel function )
find the test statistic ( to ) = -2.77
attached below is the remaining part of the solution
Which statement is true?
Every term in Pattern B is 5 times the corresponding term in Pattern A.
Every term in Pattern B is 10 times the corresponding term in Pattern A.
Every term in Pattern B is 8 more than the corresponding term in Pattern A.
Every term in Pattern B is 15 the corresponding term in Pattern A.
In the equation x +9x+ 20 = (x+ a)(x+b),b is an integer.
Find algebraically all possible values of b.
What is the difference between 8x3-2x2+5x-7
-15
this is the answer :)
Answer:
I would say 55
Step-by-step explanation: 8x3=24-4=20+5x7=55
If g(x) = 2 log (2x) what is g(3)
Answer: 1.55630250
Step-by-step explanation:
g(x) = 2 log (2x)
For g(3) put 3 in place of x
g(3)=2 log (2*3)
=2log(6)
g(3) =1.55630250
Use cubic regression to find a function that fits the following points (1,4),(2,9),(3,34),(-2,-11)
Answer:
The cubic regression that fits the given set of points is [tex]y = 2\cdot x^{3}-2\cdot x^{2} -3\cdot x + 7[/tex].
Step-by-step explanation:
Let the cubic regression be represented by the following third order polynomial:
[tex]y = a\cdot x^{3}+b\cdot x^{2}+c\cdot x + d[/tex] (1)
Where:
[tex]x[/tex] - Independent variable.
[tex]y[/tex] - Dependent variable.
[tex]a,b,c,d[/tex] - Coefficients.
By Algebra, we can determine analytically the values of all coefficients by knowing four distinct points. If we know that [tex](x_{1}, y_{1}) = (1,4)[/tex], [tex](x_{2},y_{2}) = (2,9)[/tex], [tex](x_{3}, y_{3}) = (3, 34)[/tex] and [tex](x_{4}, y_{4}) = (-2, -11)[/tex], then the system of linear equations is:
[tex]a+b+c+d = 4[/tex] (1)
[tex]8\cdot a + 4\cdot b + 2\cdot c + d = 9[/tex] (2)
[tex]27\cdot a + 9\cdot b + 3\cdot c + d = 34[/tex] (3)
[tex]-8\cdot a + 4\cdot b -2\cdot c + d = -11[/tex] (4)
The solution of the system of linear equations is: [tex]a = 2[/tex], [tex]b = -2[/tex], [tex]c = -3[/tex], [tex]d = 7[/tex]
The cubic regression that fits the given set of points is [tex]y = 2\cdot x^{3}-2\cdot x^{2} -3\cdot x + 7[/tex].
A market research company conducted a survey of two groups of students from different schools. They found that students from school A spent an average of 90 minutes studying daily, while the students from school B spent an average of 75 minutes daily. They want to find out if the difference in the mean times spent studying by the students of the two schools is statistically significant. What sets shows the correct null hypothesis and alternative hypothesis?
Options:
1. Null Hypothesis: There is at least some difference in the mean times spent by the schools' students.
2. Alternative Hypothesis: The students from school B spend more time studying than the students from school A.
3. Null Hypothesis: School B students spend more time studying than School A.
4. Alternative Hypothesis: The difference in the mean times spent by the schools' students is 15 minutes.
Null Hypothesis: There is no difference in the mean times spent by the schools' students.
Alternative Hypothesis: There is at least some difference in the mean times spent by the schools' students.
Null Hypothesis: The difference in the mean times spent by the schools' students is 15 minutes.
Alternative Hypothesis: There is no difference in the mean times spent by the schools' students
Answer:
Null Hypothesis: There is no difference in the mean times spent by the schools' students.
Alternative Hypothesis: There is at least some difference in the mean times spent by the schools' students.
Step-by-step explanation:
The null hypothesis is usually represented as H0 or H1. For difference in mean between two samples, the null hypothesis is usually holds the notion that there is no difference in the mean of both samples and it is represented symbolically as:
H0 : μ1 - μ2 = 0 or H0 : μ1 = μ2
For the alternative hypothesis, it is usually the opposite of the null and while the Null holds that no difference exists, The alternative in this scenario will claim that both sample means are different or not equal. It is represented as :
H1 : μ1 ≠ μ2 or H1 : μ1 - μ2 ≠ 0
Answer: Null Hypothesis: There is no difference in the mean times spent by the schools' students.
Alternative Hypothesis: There is at least some difference in the mean times spent by the schools' students.
Step-by-step explanation:
Check the pic
please explain
Answer:
Option C
Step-by-step explanation:
From the picture attached,
In ΔABC,
m∠BAC + y° = 180° [Linear pair of angles are supplementary]
m∠BAC = 180° - y°
m∠ABC = x° [Vertically opposite angles]
m∠ACB = z° [Vertically opposite angles]
By triangle sum theorem,
m∠BAC + m∠ABC + m∠ACB = 180°
(180 - y)° + x° + z° = 180°
x - y + z = 180 - 180
x - y + z = 0
Option C will be the answer.
On a two-week job, a repairman works a total of 70 hours. He charges a $75 fee plus $40 per hour. An equation shows this relationship, where x is the number of hours and y is the total fee. which number has a corresponding x coordinate of 0
A. 14
B. 70
C. 40
D. 75
please NO links.
Help Please!!!!!!!!!!
Answer:
[tex]y\leq 3x-2[/tex]
Step-by-step explanation:
Which describes the slope of the line in the graph?
A) zero
B) positive
C) negative
D) undefined
PLEASE HELP ASAP. God bless you.
An ecologist is examining whether the number of fish caught in a large river basin has changed since a fire burned some of the surrounding forested area and vegetation along the river. Data in the form of fishing reports was available for a five-year period before the fire. From a random sample of 195 fishing reports before the fire, the mean catch was 6.3 fish with a standard deviation of 1.6. In a random sample of 143 reports three years after the fire, the mean catch was 7.1 fish with a standard deviation of 2.1.
Which of the following represents the standard error of the difference in the mean number of fish caught before and after the fire?
Answer:
The standard error of the difference in the mean number of fish caught before and after the fire is 0.2153.
or
sqrt [ (1.6^2)/195 + (2.1^2)/143 ]
Find the gradient of the line segment between the points (-3,2) and (-2,5).
Find the equation of the line which passes through (-2,-2) and (2, -4).
O A. y = -1/2 x
O B. y=-x-3
OC. y=-3x-5
OD. y = -2x – 6
O E. y = {x-3
Find the missing dimension of the triangle. A triangle with base labeled b, height labeled 6 feet, and height labeled 14 square feet.
Answer:
4.67 feet
Step-by-step explanation:
The computation of missing dimension of the triangle is given below:
As we know that
Area of the triangle = 1 ÷ 2 × base × height
14 = 1 ÷ 2 × base × 6
14 = 3 × base
So, the base is
= 14 ÷ 3
= 4.67 feet
Here we assume the area to be 14 square feet
Answer:
4⅔ or 4.67 feet
Step-by-step explanation:
Area of a triangle is ½bh
½×b×6=14
3b=14
14÷3=4⅔
write the decimal 0.015 as a fraction (line over the 15, the 15 is repeating)
0.015 in fraction
=[tex]\frac{15}{1000}[/tex]
Simplified is
=[tex]\frac{3}{200}[/tex]
Answer:[tex]\frac{3}{200}[/tex]
6 cm
4 cm
2 cm
3 cm
What is the area of the polygon?
Answer:
36 cm^2 is the area
Explanation -->
- first, separate the polygon into two separate ones, horizontally, to make two rectangles
- NOTE : Area = length x width
- 6 times 4 = 24
- 4 times 3 = 12 (self-explanatory, you get 4 by subtracting 6 and 2, as you can see)
- 24 + 12 = 36
-- You get 36 cm^2 --
Hope this helps!! Please mark as Brainliest!
HOW DO YOU FIND THE ARC OF A CIRCLE????
Answer:
1. Multiply the area by 2 and divide the result by the central angle in radians.
2. Find the square root of this division.
3. Multiply this root by the central angle again to get the arc length.
Step-by-step explanation:
The catapults are 14.5 m, end text apart, as shown. From catapult A, there is a 96 degree angle between catapult B and the target. From catapult B, there is a 58°degree angle between catapult A and the target.
How far should catapult B throw the snowball to reach the target?
Do not round during your calculations. Round your final answer to the nearest tenth of a meter.
Thank you very much.
Answer:32.9 m
Step-by-step explanation: