The answers are presented below:
The equation is a quadratic - TRUEThe graph is linear. the vertex is (7,4) - FALSEThe axis of symmetry is x= -7 - TRUEThe y-intercept is (0,4) - FALSE The graph has a relative maximum. - TRUEThe equation has no real solutions. - FALSEQuadratic function
The quadratic function can be represented by a quadratic equation in the Standard form: ax²+bx+c=0 where: a, b and c are your respective coefficients. In the quadratic function the coefficient "a" must be different than zero (a≠0) and the degree of the function must be equal to 2.
The vertex of an up-down facing parabola of the form ax²+bx+c is [tex]x_v=\frac{-b}{2a}[/tex] . Knowing the x-coordinate of vertex, you can find the y-coordinate of vertex. When a vertical line passes through the vertex of the parabola, it is called the axis of symmetry.
The y-intercept is the point where the function crosses the y-axis. And, the x-intercept is the point where the function crosses the x-axis, in other words, when y=0.
First, you should convert the given equation to Standard form.
f(x) = -(c+7)² + 4
f(x)= - (c²+14c+49)+4
f(x)= -c²-14c-49+4
f(x)= -c²-14c-49+4
f(x)= -c²-14c-45
After that, you should check each option of the question.
The equation is a quadraticCorrect because present a degree 2 -- f(x)= -c²-14c-45
The graph is linearIncorrect because it is a quadratic function and this function is represented by a parabola.
The vertex is (7,4)The coefficients are: a=-1, b=-14, c=-45. Therefore,
[tex]c_v=\frac{-b}{2a}=-\frac{-14}{2*(-1)} =-\frac{-14}{-2}=-(7)=-7[/tex]
Incorrect because x-coordinate of vertex is -7
The axis of symmetry is x= -7.Correct because [tex]c_v=\frac{-b}{2a}=-\frac{-14}{2*(-1)} =-\frac{-14}{-2}=-(7)=-7[/tex]
The y-intercept is (0,4)You can find the y-intercept using c=0, then f(x)= -c²-14c-45 will be:
f(x)=-45.
Incorrect because the y-intercept is (0,-45).
The graph has a relative maximum.The coefficient a of a quadratic function is negative, thus the function has a point maximum. A relative maximum point is defined as the point where the function changes your direction. In other words, the values of the function increase before the relative maximum and the values decrease after the relative maximum.
Correct, see the attached image.
The equation has no real solutions.It is possible to find the number of roots or solutions from discriminant.
For quadratic equation the discriminant is determined by D=b²-4ac, where: a, b and c are coefficients.
If D > 0 - the function will have two real solutions;
If D = 0 - the function will have one real solution;
If D < 0 - the function will have imaginary solutions;
For given equation, the coefficients are: a=-1, b=-14, c=-45. Thus, D=(-14)²-4*(-1)*(-45)
D=196-180=16
D=16 thus D > 0
Incorrect because the D>0.
Read more about the quadratic function here:
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Which method would be the best to solve the following system of equations?
{5z + 3y = -7
{-2x - 3y = 19
Answer:
substitution or elimination
Answer correctly with good explanation. Please and thank you
Answer:
The cost is $352.80
Step-by-step explanation:
step 1. 14 * 12 = 168 ----> find out the area (base times height)
step 2. 168 * 2.10 = 352.80 -----> multiply the area with the cost of per square foot of the carpet
I hope this helped :))
pls help me !!
a sector of a circle has a central angle measure of 90°, and an area of 7 square inches. what is the area of the entire circle?
area of the circle = __ square inches
Step-by-step explanation:
area of circle - pie x r x r
22/7 x 7/2 x 7/2 ( 7 as diameter because it's straight line passing through centre)
77/2 is the sq inches
find x - Please help and hurryy!!
thank you
4 X + z = 90- 35 = 55°
4X = 55 - Z
X= (55 - Z) / 4
Further cannot be done.
Please help me with question 1.
Answer:
C =66
Step-by-step explanation:
The solution set of the system of inequalities below forms a triangle on the coordinate plane. What are the vertices of the triangle?
a.
(0,10), (3,4), (8,14)
c.
(-20,0),(1,0),(8/14)
b.
(0,0), (8,0), (8,14)
d.
(0,10),(3,4),(6,10)
i think its a but i may be rong if i am just know i tryed my vary best and that i am super sorry
Write an equation for a direct variation that includes the point (3, 12).
Elaine has three types of nuts, peanuts, cashews and almonds, that she combines and stores in a large container: There are three times as many ounces of peanuts as of cashews. There are 5 more ounces of almonds than cashews_ The total weight of the mixed nuts is 20 ounces: How many ounces are there of peanuts?'
Answer:
There are 9 ounces of peanuts
Make the ounces of cashews equal to three, and this works! Don’t know the math otherwise :|
The first rule is add 12, then divide by 2 starting from 4. The second rule is multiply by 2, then subtract 2 starting from 3. What are the first four ordered pairs using the two sequences? (4, 4), (8, 6), (10, 10), (11, 18) (0, 4), (3, 6), (4, 10), 5, 18) (4, 3), (8, 4), (10, 6), (11, 10) (0, 3), (3, 4), (4, 6), (5, 10). I WILL MARK BRAINLIST. MY BROTHER NEEDS HELP WITH MATH LOLOLOLOLOLOLOLOLOLOLOLOLOL
Answer:
(03,)(4,4(4,6),(5,10)
Step-by-step explanation:
I’m smart I have an A + so it’s correct
Write a recursive formula for a_na n , the n^{\text{th}}n th term of the sequence 6, 11, 16, ...6,11,16,....
Cathys playing a board game the game pieces are each in the shape of a triangle a triangle has a base of 1.5 inches in height of 2 inches what is the area of the pieces
Answer:
1.5
Step-by-step explanation:
Area of a Triangle = b x h /2
2 times 1.5 is 3, divided by 2 is 1.5
Does someone know how to do this? I only have a few hours before I have to turn this in
Answer:
Check out the attached photo it might help
Which equation has a vertex at (0, 5) and focus of (three-halves, 5)?
x = three-halves (y minus 5) squared
x = negative three-halves (y minus 5) squared
x = StartFraction 1 Over 6 EndFraction (y minus 5) squared
x = negative StartFraction 1 Over 6 EndFraction (y minus 5) squared
Answer: C
Answer:
C
Step-by-step explanation:
Edge 2021
Answer:
C
Step-by-step explanation:
A bag of marbles has 3 red and 6 green marbles. What is the probability of selecting two red with replacement?
Answer:
1/9
Step-by-step explanation:
With replacement, we use the principle of multiplication with counting.
[tex]\frac{3redballs}{9total balls} * \frac{3redballs}{9total balls} = \frac{1}{3}* \frac{1}{3} = \frac{1}{9}[/tex]
The probability of selecting two red marbles with replacement is 1/9.
What is probability?Probability is a measure of the likelihood or chance of an event occurring. It is a number between 0 and 1, where 0 means that the event is impossible and 1 means that the event is certain to occur.
If we select a marble at random from the bag, there are 3 red marbles out of 9 total marbles. After replacing the marble back in the bag, the probability of selecting another red marble is still 3/9 (assuming the first marble selected was red).
To find the probability of selecting two red marbles with replacement, we need to multiply the probabilities of each event happening.
Therefore, the probability of selecting two red marbles with replacement can be calculated as follows:
P(selecting two red marbles with replacement) = P(selecting a red marble) x P(selecting a red marble given that the first marble was red)
P(selecting two red marbles with replacement) = (3/9) x (3/9)
P(selecting two red marbles with replacement) = 1/9
Therefore, the probability of selecting two red marbles with replacement is 1/9.
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What is the difference between calculating probability with “and” vs “or”?
Answer:
The word or is used in probability to denote that you are computing the chance that either event A or event B occurred; both events do not have to occur. When you employ the word and, you're implying that both A and B must occur.
In Conclusion:
If either one or both of them occur, the condition is fulfilled, and the probabilities are added.
The condition is satisfied if and only if both of them occur, and the probabilities are increased.
Use a graphing calculator to sketch the graph of the quadratic equation, and then state the domain and range
y = x + 2x - 5
Answer:
d. D: allreal numbers
R: y>= -6
Step-by-step explanation:
You are allowed to use a graphing calculator to see the graph. See image.
This curve is a parabola. Upward and downward opening parabolas have a domain of all real numbers. Any x can be found on the graph and/or any x can be used in the equation without limit. That's "all real numbers"
See the graph does not exist below -6. Range is all the y's on the graph and/or all the possible y's the equation will spit out. Here we can clearly see the graph only exists from -6 and up. Range is y>= -6.
The graph below shows the relationship between the number of oranges purchased and the cost. Which statement about the unit rate of the graph is true?
The unit rate is 1.
The unit rate is13
The unit rate is 3.
The unit rate is 9.
Answer: The unit rate is 1/3
Step-by-step explanation:
The slope of the line, which also represents the unit rate, is 1/3.
Juan plays little league baseball. In 36 at-bats, he had 12 hits. What is the ratio of at-bats to hits?
Answer:
The Ratio is 8:16.
Step-by-step explanation:
1. Find the unknown length of the side labeled x.
Answer:
Step-by-step explanation:
If LOVE is a square with LO = 2x + 3 and OV = 9, what is the value of x?
Answer:
3
Step-by-step explanation:
2x+3=9
You have to get rid of the 3 and the operation that is happening between the 2x and 3 is addition so you must do the opposite which is subtract .
2x+3-3=9-3
Cross out the 3's . What you do to one side do it to the other side .So subtract 3 from both sides .
2x÷2=6÷2
Now to get rid of the 2 you divide because the operation that is happening between the 2 and x is multiplication.And what u do to one side do it to the other . So
x= 3
Hope this helps and sorry if you don't under the explanation
Step-by-step explanation:
LO = 2x + 3 and OV = 9,
9=2x+3
9-3=2x
6=2x
6/2=x
x=3
Find YW, would it just be 6?
Answer:
6
Step-by-step explanation:
AX=1/2XY,. BX=1/2WX
=) AB||WY and AB=1/2WY. [Midpoint theorem]
=) 2AB=WY
=) 2×3=WY
=)6=WY
PLA MARK IT AS BRAINLIEST (•‿•)(•‿•)(•‿•)
This works for triangles with a Midline having two of these properties:
The midline should be parallel to the third sideThe midline is half as long as the third sideThe third side of the triangle (the one parallel to its midline) is twice the length of its midline.
Example:The given question above:
ΔWYX
(Midline) AB = 3
YW = ?
Solution:
[tex]\frac{1}{2}[/tex] YW = AB
[tex]\frac{1}{2}[/tex] YW = 3
YW = (2)3
YW = 6
#learnwithbrainly
1. Find the unknown length of the side labeled X.
Answer:
Step-by-step explanation:
I need help with some geometry workbook pages!
Answer: D
Step-by-step explanation:
A. Find the perimeter of each figure
(Math) [please answer this correctly] thank you
Hey.. I’m really stuck on this page of homework, can anyone help?
Answer:
Easy!
Step-by-step explanation:
All you have to do is.. Percentage = (number you want to find the percentage for ÷ total) × 100. Move the decimal point two places to the right to convert from a decimal to a percentage, and two places to the left to convert from a percentage to a decimal.
Hope this helps :)
Find the length of b to the nearest tenth.
(BRAINLIEST :D)
Answer:
1.7
Step-by-step explanation:
You can use the 30/60/90 triangle rule, but it was quicker for me to do. SIN(60)=b/2. If you want a more in depth explanation just reply to this but I have to go right now so I will do it later.
How could you find the distance between the points (-2.5, 4.5) and (1.25, 4.5)?
Answer: By using the distance formula
Step-by-step explanation:
The distance formula can be used to find the distance between two coordinate points, as given here. They come in the order of (x, y) and you would plug in your values.
Need to solve for the distance?
Taking the formula, we will plug in the coordinate points given and solve.
[tex]\displaystyle d = \sqrt{(x_{2}-x_{1})^{2} +(y_{2}-y_{1})^{2}}[/tex]
[tex]\displaystyle d = \sqrt{(1.25--2.5)^{2} +(4.5-4.5)^{2}}[/tex]
[tex]\displaystyle d = \sqrt{(1.25+2.5)^{2} }[/tex]
[tex]\displaystyle d = \sqrt{(3.75)^{2} }[/tex]
[tex]\displaystyle d =3.75[/tex] units
Solve for x.
Enter your answer in the box.
X=
Answer:
x = 30
Step-by-step explanation:
2x - 6
----------- = 9
6
2x - 6
----------- = 9(6)
6(6)
2x - 6 = 54
+6 +6
2x = 60
÷2 ÷2
x = 30
I hope this helps!
Find the area of this circle. Use 3.14 for a 11 ft The area of the circle is about ft2. (Round to the nearest hundredth as needed.)
Answer:
Area of circle is 379.94 feet²Step-by-step explanation:
Given:
Radius of circle = 11 feetTo Find:
Area of circle.Solution:
Here given that radius of circle is 11 feet. Using the formula of area of circle we will get the required area of circle
Area of circle = πr²On substituting the required values:
Area = 3.14 × (11)²
Area = 3.14 × 121
Area = 379.94 feet²
Hence,
Area of circle is 379.94 feet²21. & 22. Instructions: Find the missing side. Round your answer to the nearest tenth.
answer
14.7
step by step explanation
[tex]using \: tan73 = \frac{opposite}{adjacent} \\ tan73 = \frac{48}{x} \\ 3.271 = \frac{48}{x} \\ making \: x \: the \: subject \\ x = \frac{48}{3.271} \\ x = 14.674 \\ x = 14.7 \: (approximately)[/tex]