To determine the correct standard form of a quadratic equation from the given options, we expand (x-3)2 to get [tex]x^2 - 6x + 9 = 0,[/tex] which is the correct standard form [tex]ax^2 + bx + c = 0.[/tex]
To write the quadratic equation in standard form, you need to remember that the standard form is ax2 + bx + c = 0. The given equations will be compared to this standard form to find the correct answer.
Given Equations:
(x-3)2=0
0x2+9=0
0x2+6x+9=0
0x2 - 6x +9=0
Only the first equation, (x-3)2=0, can be simplified to the standard quadratic form if expanded. Let's expand it:
(x-3)2 = x2 - 6x + 9
So the correct standard form of the given equation is x2 - 6x + 9 = 0.
The other options, due to having a coefficient of 0 for x2, are not proper quadratic equations as they do not have the quadratic term.
what is the value of x in the triangle
Answer:
x = 17
Step-by-step explanation:
This is a right triangle so we can use the Pythagorean theorem
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
15^2 + x^2 = (sqrt(514))^2
225 + x^2 = 514
Subtract 225 from each side
225-225 + x^2 = 514-225
x^2 =289
Take the square root of each side
sqrt(x^2) = sqrt(289)
x = 17
. My best friends and I met at the movies at
6:45pm. We were picked up at 8:15pm. How
long were we at the movies?
Answer:
1 hour and 30 minutes
Step-by-step explanation:
Answer:
the answer to this is 1 hour and 30 minutes
Step-by-step explanation:
my exlanation is one hour from 6:45 is 7:45 15 minutes until 8:00 then 15 more minute until she gets picked up. I HOPE THIS HELPS AND PLZ AND KINDLEY MARK ME BRAINLIEST HAVE A GOOD REST OF YOUR DAY =)
Keith earns $41.00 in 2 hours. How much would he make in 9 hours?
Answer:
184.5
Step-by-step explanation:
41.00/2 = 20.50 per hour
now do 20.50 times 9 since its 9 hours needed to be found.
20.50 x 9 = 184.5
Answer:
19350
Step-by-step explanation:
To find the answer first find what is half of 41 that is 2050 then do 9 times 2050 equals 19350
Please help on number 4, multiple choice
Answer:
30
Step-by-step explanation:
2 30
--- = --
? 450
same explanation as the other problem I helped you with :)
Find the volume of the cone. Leave your answer in terms of л
18 л
54л
27л
12л
Answer:
18π
Step-by-step explanation:
You have to multiply the height and the width together and then multiply by pi but since it is in terms of pi it is 18π
The volume of the cone is 18π
Option A is the correct answer.
What is a cone?It is a shape of a christmas tree where there is a base of radius r and a top point called the apex.
The volume of a cone is V = (1/3)πr²h
We have,
The formula for the volume of a cone is:
V = (1/3)πr²h
where V is the volume, r is the radius, and h is the height.
Plugging in the given values, we get:
V = (1/3) x π x 3² x 6
V = 18π
Therefore,
The volume of the cone is 18π
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The solid was created by connecting two congruent square pyramids to a rectangular prism.
A rectangular prism with a length of 14 inches, width of 15 inches, and height of 15 inches. 2 square pyramids with triangular sides with a height of 18 inches.
What is the surface area of this solid?
_____________ square inches
1380
1500
1920
3000
Answer:1920
Step-by-step explanation:
Answer: 1920
Step-by-step explanation:
What is the horizontal asymptote of f(x) =-2x/x+1
y=-2
y=-1
y=0
y=1
Answer:
Y=0
Step-by-step explanation:
Since it is not a rational expression, there are no asymptotes.
Answer:
y= -2
Step-by-step explanation:
just took quiz
find: 2 root 3 ÷ root 3
Answer:
2
Step-by-step explanation:
The roots cancel.
[tex]\dfrac{2\sqrt{3}}{\sqrt{3}}=2\cdot\dfrac{\sqrt{3}}{\sqrt{3}}=2\cdot 1=2[/tex]
Help pls
I’ll put u as Brainlyest
Answer: The rule for the second question is multiple by 2
Step-by-step explanation:
Answer:
3 = 105
4 = 140
5 = 175
12 = 420
You have to multiply the 35 by what every number is on top. Like 4 for example, 35 x 4 = 140.
Given a=10 and B=150° in Triangle ABC, determine the values of b for which A has
A) exactly one value
B) two possible values
C) no value
Answer:
A) b > 10
B) none
C) b ≤ 10
Step-by-step explanation:
For the purpose of this answer, we assume ABC is a triangle if and only if all angles and side lengths have measures greater than 0, and the sum of angles is exactly 180°.
The fact that B = 150° means A+C = 30°. That is, 0 < A < 30°. Taking the sine of A, we have ...
0 < sin(A) < 1/2
A, B)The Law of Sines tells us ...
sin(A)/a = sin(B)/b
sin(A) = a·sin(B)/b = 10·(1/2)/b = 5/b
Substituting this into the inequality for sin(A), we get ...
0 < 5/b < 1/2
0 < 10 < b . . . . . multiply by 2b (which is > 0)
In order to form a triangle, the value of b must be greater than 10. In that case, there will always be only one value for A:
A = arcsin(5/b) . . . . b > 10
__
C)For b = 10, the "triangle" is a straight line, a disallowed condition. That is A will have no allowed value.
For b < 10, A > 30°, which forces C < 0°. This is also a disallowed condition. So we can say ...
b ≤ 10, A has no allowed value
_____
The attached diagram shows triangle ABC. Point A can be anywhere on ray BA. As segment c gets longer, angle C increases from near 0 to near 30°. At the same time, angle A decreases from near 30° to near 0°. When b=10, c=0, and the figure is not a triangle. Nor is it a triangle for b < 10.
A hyperbola centered at the origin has a vertex at (-6, 0) and a focus at (10,0).
Answer:
I believe the answer is x= +or- 18/5
Answer:
X = +- 18/5
Step-by-step explanation:
Consider the given triangle.
Right triangle with height labeled 8 inches, base labeled 6 inches, and third side labeled 10 inches.
How are the lengths of the sides of the triangle and the measure of its angles related?
Explain which angle would be the smallest and why.
Answer:
The angles across from the sides are related. The angle across from the side labeled 10 inches will be the largest angle and the angle across from thr side labeld 6 inches will be the smallest.
ANSWER ME PLS BRAINLIEST What is the average number of points scored in the 15 games played?
Question 4 options:
6.8
6
6.7
6.5
Answer:
the answer is 6
Step-by-step explanation: LOgic
Answer:
6
Step-by-step explanation:
Evaluate the expression 2x+1 , if X=4
Give the correct answer, please!!!!!!!!!!!
Answer:
9
Step-by-step explanation:
if x= 4; 2x+1
2(4) + 1
8 + 1
9
What is the sum of the areas of circle C and circle D?
7 units
14 tt units
49 T units
98 units
Mark this and return
Save and Exit
Next
Submit
The sum of areas of circle C and circle D is 98[tex]\pi[/tex] square units, it is obtained from the attachment.
Step-by-step explanation:
The given is,
For the above question diagram is missing, so i attach the diagram
C, D points in the attachment is the center of circle C and D
Radius of circle C and D is 7 units
Step: 1
Formula for area of circle,
[tex]A=\pi r^{2}[/tex]..............................(1)
Where, r - Radius of circle
Step: 2
Area of circle, C
Radius of circle C, r = 7 units
Equation (1) becomes
[tex]A_{C}=\pi (7)^{2}[/tex]
[tex]A_{C} = 49\pi[/tex] square units
Area of circle, D
Radius of circle D, r = 7 units
Equation (1) becomes
[tex]A_{D}=\pi (7)^{2}[/tex]
[tex]A_{D} = 49\pi[/tex] square units
Step: 3
Sum of areas of circle C and D,
= Area of circle C + Area of circle D
= 49[tex]\pi[/tex] + 49[tex]\pi[/tex]
= 98[tex]\pi[/tex] Square units
Result:
The sum of areas of circle C and circle D is 98[tex]\pi[/tex] square units, it is obtained from the attachment.
Which could be the area of one face of the rectangular prism? Select three options.
6 cm
4 cm
11 cm
[Not drawn to scale]
20 cm
24 cm²
44 cm²
48 cm²
68 cm²
Answer:
44cm^2
Step-by-step explanation:
We work with area for rectangles using the face of the longer length first as this is the awkward length the perpendicular side to the easy calculation of the square and sits perpendicular to the square.
We choose the longer length and plug in and choose one of the two calculation answers.
11 x 4 = 44
11 x 6 = 66
We see the answer is 44cm^2, so we choose this one.
W^2-8w=9 complete the square and round to the nearest hundredth if necessary
Answer:
w = 7, 1
Step-by-step explanation:
A perfect square is shown by a²-2ab+b²
If you substitute the question into the formula you get:
w²-(2×4×w)+4²
Simplify and you get:
w²-8w+16=9
Factor:
(w-4)²=9
Square Root both sides:
w-4=±3
w=7, w=1
Please help me with this question thank you
Given:
Deposit = $7500
Rate of interest = 2.75%
Time = 4 years
Compounded monthly
n = 12
To find:
The balance in the account after 4 years
Solution:
Compound interest formula:
[tex]$A=P\left(1+\frac{r}{n}\right)^{n t}[/tex]
Here P = $7500, r = 2.75%, n = 12 and t = 4.
[tex]$A=7500\left(1+\frac{2.75\%}{12}\right)^{12\times 4}[/tex]
To convert percentage into fraction, divide by 100.
[tex]$A=7500\left(1+\frac{\frac{2.75}{100} }{12}\right)^{48}[/tex]
[tex]$A=7500\left(1+\frac{0.0275 }{12}\right)^{48}[/tex]
[tex]$A=7500\left(\frac{12+0.0275 }{12}\right)^{48}[/tex]
[tex]$A=7500\left(\frac{12.0275 }{12}\right)^{48}[/tex]
[tex]$A=8371.03[/tex]
The balance in his account after 4 years is $8371.03.
A grant for students who intend to become teachers is known as the.
A. TEACH Grant.
B. EDUCATE Grant
C. SMART Grant
D. ASPIRE Grant.
Answer:
I believe it is
A. teach grant
The grant for prospective teachers is the TEACH Grant, offering up to $4,000 per annum, with specific service conditions post-graduation. The correct answer is option (A).
The grant for students who intend to become teachers is known as the Teacher Education Assistance for College and Higher Education (TEACH) Grant. Students who are preparing for a teaching profession can receive up to $4,000 per year through this grant. To be eligible, you must take specific classes and majors related to education and must commit to holding a qualifying teaching position for at least four years after graduation. Not fulfilling these obligations will convert the TEACH Grant into a loan that must be repaid with interest and back interest. It's important to explore various educational grants, like the Federal Supplemental Educational Opportunity Grants (FSEOGs), state grants, and those offered by private organizations, as well as to consider joining professional organizations that support educators.
Thus, the correct answer to the student's question is option A) TEACH Grant.
ms.roa pays the same amount each month for internet service she is making a graph to show the amount she pays over time. Please help
Answer:
Step-by-step explanation:
Ms. Roa's monthly internet payment, being constant, would be represented by a horizontal line on a graph with time (months) on the X-axis and cost on the Y-axis. The consistency of the payment amount regardless of time represents a constant rate, demonstrated graphically.
Explanation:The subject of your question involves mathematics, specifically, the concept of the relationship between constant costs and time, which can be demonstrated using linear graphs. In Ms. Roa's case, she pays the same amount each month for internet service. This means that the cost per month is constant, so if you make a graph showing time on the X axis (in months) and cost on the Y axis, you would see a straight horizontal line, indicating that the cost does not change over time.
For example, if Ms. Roa pays $50 each month, then every point on the line will be at Y = 50 (for cost), regardless of the X value (time). The concept of a constant rate is important in understanding the relationship between different quantities, and is commonly used in Displaying Data Graphically and Interpreting the Graph.
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what’s the lower bound of 3.115
Answer:3.1105
Step-by-step explanation:
How to chose a reasonable scale and interval to graph each set of data with these numbers - 70, 35, 55, 10, 43, 25, 80 and three numbers, 4,700; 2,000; 3,400; 1,650; 2,800
Answer:
For 70, 35, 55, 10, 43, 25, 80
Scale
I small square= 1 unit
For 4,700; 2,000; 3,400; 1,650; 2,800
I small square=100 unit
Step-by-step explanation:
We choose a scale such that all the points can be plotted on the graph.
For 70, 35, 55, 10, 43, 25, 80
the range of data is from 10 to 80
so if we choose I small square= 1 unit, we will be able to plot all the points on the graph.
For 4,700; 2,000; 3,400; 1,650; 2,800
the range of data is from 1600 to 4700
If we choose I small square=100 unit, we will be able to plot all the points on the graph with 1650 plotted in the middle of a small square.
x = 3y - 2
x= -7y + 8
Answer:
x = -9.5
y = -2.5
Step-by-step explanation:
to evaluate this linear system of equation, we would say that
let
x = 3y - 2................................................ equation 1
x= -7y + 8.............................................. equation 2
substitute equation 2 into equation 1
3y -2 = 7y + 8
collect the like terms
3y -2 -8= 7y
-10 = 7y -3y
-10 = 4y
divide both sides by 4
-10/4 = 4y/4
-2.5 = y
y = -2.5
put the value value of y into equation 1
x = 3y - 2................................................ equation 1
x = 3(-2.5) -2
x = -75 - 2
x = -9.5
-
Find the median of the following numbers. 79, 27, 24, 11, 14, 11
Answer:
19
Step-by-step explanation:
79, 27, 24, 11, 14, 11
rearrange the order
from lowest to highest
11, 11, 14, 24, 27, 79
Find the middle.
It is between 14 and 24
Take the average.
Average here = median = (14 + 24)/2 = 38/2 = 19
Final answer:
The median of the data set (79, 27, 24, 11, 14, 11) is found by first arranging the numbers in ascending order, and then taking the average of the two middle numbers, which yields a median of 19.
Explanation:
The median is the middle value of an ordered data set. To find the median, we first need to arrange the numbers in ascending order. The set of numbers given are 79, 27, 24, 11, 14, 11. Arranged in order they are 11, 11, 14, 24, 27, 79.
Since there are 6 values (an even number), we take the average of the two middle numbers. In this case, the two middle numbers are 14 and 24. Hence, we calculate the median as follows:
(14 + 24) / 2 = 38 / 2 = 19.
Therefore, the median of this data set is 19.
23. Ed has 42 red beads and 28
blue beads. He uses an equal number
of all the beads to decorate 7 clay
sculptures. How many beads are on
each sculpture?
Answer:
42 ÷ 7 = 6 red beads
28 ÷ 7 = 4 blue beads
There are 6 red beads and 4 blue beads in each sculpture.
Hope this helps <3
Answer:
10 beads for each sculpture
Step-by-step explanation:
42 divided by 7 is 6 and 28 divided by 7 is 4
4+6 is 10
so 4 blue beads and 6 red beads each scuptuer
There are 850 employees at a software company. The company’s CEO was interested in finding out if his employees prefer the new coffee brand provided in the break rooms or the old coffee brand.
A random sample of 200 employees was conducted, and 148 employees said that they prefer the new coffee brand over the old one.
The point estimate is calculated using the formula = .
Which statements are true about estimating the population proportion of employees who prefer the new coffee brand? Check all that apply.
Answer: B & E
i just took it
Step-by-step explanation:
Answer:
the answer is B and E
Step-by-step explanation:
I just took it on edg
Pick the expression that matches this description??
Jack and Connor were splitting nachos. Jack ate of the
nachos and Connor ate 1 of the nachos.
What fraction of the nachos did they eat together?
The correct fraction of the nachos that Jack and Connor ate together is [tex]\(\frac{1}{2}\)[/tex].
To determine the fraction of the nachos that Jack and Connor ate together, we need to add the fractions of the nachos each one ate.
Jack ate [tex]\(\frac{1}{3}\)[/tex] of the nachos. Connor ate [tex]\(\frac{1}{6}\)[/tex] of the nachos.
To add these two fractions, we need a common denominator. The least common multiple (LCM) of 3 and 6 is 6. So, we convert [tex]\(\frac{1}{3}\)[/tex] to a fraction with a denominator of 6 by multiplying both the numerator and the denominator by 2, which gives us [tex]\(\frac{2}{6}\)[/tex].
Now, we can add the two fractions:
[tex]\[\frac{2}{6} + \frac{1}{6} = \frac{3}{6}\][/tex]
This fraction can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 3:
[tex]\[\frac{3}{6} = \frac{1}{2}\][/tex]
Therefore, together, Jack and Connor ate [tex]\(\frac{1}{2}\)[/tex] of the nachos.
Which of the following expressions are equivalent to -5.93 + (-8.62) + 5.93?
Choose 4 answers.
a. -8.62
b. −5.93 − (8.62−5.93)
c. −(5.93 + 8.62) + 5.93
d. -5.93 - 8.62 - (-5.93)
e. -5.93 − (8.62 + 5.93)
Answer:
A, B, C & D
Step-by-step explanation:
Expand and see which is is equivalent to the given expression.
Please help math middle school level
Answer:
7 yd
Step-by-step explanation:
You are finding the perimeter. Your answer should include yd (yd² is for area, yd³ is for 3d images).
Note that the two lines segments (? & 9) is parallel to the other line segment (16). Find the ?:
? + 9 = 16
? + 9 (-9) = 16 (-9)
? = 16 - 9
? = 7
7 yd is your answer
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