The features of the quadratic function f(x) = x^2 + 10x + 21 are Vertex = (-5,-4), y-intercept = (0,21), x-intercepts = (-7,0) and (-3,0), axis of symmetry is x = -5 so option (A) will be correct.
What is a quadratic equation?An algebraic equation of the second degree in x is a quadratic equation. The quadratic equation is written as ax2 + bx + c = 0, where x is the variable, and a must not be zero.
For example 3x² + 6x + 8 = 0 here x has highest term as 2 and coefficient of x² is not zero.
The standard form of a quadratic equation is ax² + bx + c
The x vertex is given -b/2a
So,
x-vertex = -10/2 = -5
So y = (-5)² + 10(-5) + 21 = -4
So vertex is (-5, -4)
The Y-intercept is given as (0,y)
So,
y = 21
Therefore
y-intercept = (0,21)
the x-intercept is given as (x,0)
So,
x = -7 , -3
Therefore
x-intercepts = (-7,0) and (-3,0)
The Axis of symmetry is given by -b/2a
So,
⇒ -10/2 = -5
Hence "Vertex = (-5,-4), y-intercept = (0,21), x-intercepts = (-7,0) and (-3,0), axis of symmetry is x = -5".
For more about the quadratic equation,
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Max’s age is twice George’s age minus 5. The sum of Manuel’s age and Gupta’s age is 31. Let g represent George’s age. The equation 2g - 5 + g = 31 represents this situation. Complete this statement: Max is ____ years old and George is ____ years old.
whats the answer? to this
Answer:
x=2 y=5
Step-by-step explanation:
The difference of two numbers is 12 while their product is 45. Find all
such numbers
We need a rock garden with perimeter of 12 feet and an area of 8 square feet
Answer:
Width: 4
Length: 2
Step-by-step explanation:
A bird park has black and white birds in the ratio of 8 to 2 as shown below.
Which is another ratio that can describe the black to white birds?
04 to 1
0 1 to 4
1 to 7
7 to 1
show your work and please hurry
−16 + x = −15
Answer:
x-1
Step-by-step explanation:
-16+1 16-15=1
To get -15 move 1 in the positive direction or backwards
or if this helps ignor the - and just subtract 16 from 15
Answer:
x = 1
Step-by-step explanation:
Add 16 to each side, so it now looks like this: x = 1I hope this helps!
Q:What is the scale factor of this dilation?
1. 1/2
2. 1/3
3. 2
4. 3
Answer:
C. 2
Step-by-step explanation:
You can figure it out by multiplying the pre-image by 2 resulting in the image
Which of the four is it?
Answer:
option 1 i believe
Step-by-step explanation:
just worked it out
i hope this is right and helps <3
If ΔABC = ΔDEF, angle m∠A = 50, and angle m∠E = 30, what is angle m∠C?
When you indicate triangle congruency, the order of the letters matter. As you see these statements, look at how the side length names correspond to how the letters are written in its order, ΔABC ≅ ΔDEF. (By the way, triangles aren't equal with an = sign. It's a ≅ congruency sign.)
AB is congruent or the same length as DE.
BC is congruent or the same length as EF.
AC is congruent or the same length as DF.
In the same way, all of the angles in the corresponding order are ALSO congruent. By the way, we say that angles are congruent and angle MEASURES (like 30 degrees) are equal.
m∠A = m∠D
m∠B = m∠E
m∠C = m∠F
In the same way, we can try to find m∠C, or measure C!
1. Let's find the missing angle!
So, we know that m∠A is 50 degrees and m∠E is 30 degrees. Since we know that m∠E = m∠B because of the order of the triangles, now we know two of the angles in triangle ABC.
m∠A = 50 degrees
m∠B = 30 degrees
m∠C = 180 degrees - (50 + 30) = 100 degrees
(We minus from 180 degrees because 180 degrees is the sum of the angles in a triangle!)
And that's it! If you have any questions, please feel free to ask questions. I'm not here to judge, and I'm only here to help. Again, ask questions if you need help. It's crucial that you know the basics of geometry!
Yolanda purchased stock for $7,000 and paid a 1.5% broker fee. She sold it for $6,325 and paid a 0.5% broker fee. Compute her net proceeds.
Answer:
$-748.38
Step-by-step explanation:
Net proceeds = Total cost of selling the stock - Total cost of purchasing the stock
Total cost of purchasing the stock = $7000 + ($7000 x 0.015) = $7105
Total cost of selling the stock = $6,325 + ($6,325 x 0.005) = $6356.63
Net proceeds = $6356.63 - $7105 = $-748.38
im just timed on this, Just a lil help plz
Answer:
The answer is 6
Step-by-step explanation:
in the picture you provided. We can clearly see that there are 4 squared and 6 circles
I need help with 1-19!! Please help me!!!
Answer:
I need help with1-9!! please help me!!
Identify the slope and y-intercept of the line on the graph. The write the equation of the line in slope-intercept form.
Answer:
7. m= 3 b= -4
Step-by-step explanation:
The line has a slope of 3/1 and a y-intercept of 0, -4. y=3x-4
What is this expression in simplified form?
If you can answer this you get 20 points
Answer:
Rate of change for the second one (at the top) is 10
x- intercept is (-10,0)
y- intercept is (0,20)
Step-by-step explanation:
Answer:
in bold below
Step-by-step explanation:
Left Side
If we let the price be represented by p and the quantity by q, then a suitable equation is ...
p/30 +q/35 = 1 . . . . equation in intercept form
7p +6q = 210 . . . . . multiply by 210
p = -6/7q +30 . . . . solve for p
The slope is -6/7.
The "rate of change" is -6/7. (slope and "rate of change" mean the same)
The x-intercept is 35.
The number at the end is zero (35). (assuming "the end" is the right end of the graph)
The starting price is the y-intercept (30).
The rate of cost is the slope (-6/7).
__
Right Side
The cost starts at 20 and goes up 10 for each 5 games, so 2 per game. A suitable equation is ...
y = 2x + 20
The rate of change is 2.
The x-intercept is where y=0. It will be -20/2 = -10.
The y-intercept is 20.
_____
The graph has to do with games and cost, not minutes and feet. There is insufficient information to answer questions about minutes and feet.
_____
Comment on these questions
The notations "per billions" on the left graph cause it to make no sense whatever. The ideas of "starting" and "ending" are usually time- or sequence-related. The graph shows nothing to indicate time or sequence. The idea of "rate of cost" for TV's is nonsensical. (Cost is a rate: dollars per unit.)
A fitness center introduces two membership plans. The first plan charges $27 per month plus a $22 enrollment fee. The second plan charges $30 per month plus a $10 enrollment fee. Which of the following solution sets shows the number of months during which the first plan is less expensive?
Answer:
hrjejejdbbbhjjiiiiuhvbbdbwnjwkwksk
Is this equation correct? 6^3 • 7^3 = 42^3
Answer:
Yes.
Step-by-step explanation:
[tex]6^{3}[/tex] × [tex]7^{3}[/tex] = [tex]42^{3}[/tex]
74,088 = 74,088
help please this is timed
Answer:
$1.25x+$7=$43.25
Step-by-step explanation:
Hanna is recovering hundreds of treasure chests from an ancient shipwreck. She is able to recover 8 chests
every 4 hours.
Complete the table using equivalent ratios.
Treasure chests
Hours
8
4
6
10
Choose the fraction that is greater than 5/9.
Answer:
6/9
Step-by-step explanation:
b) Write the number 52100 as a power of 10.
Answer:
5.21 * 10^4.
Step-by-step explanation:
There are 4 more digits after the 5 so it is:
5.21 * 10^4.
[tex]52100 = 521 \times {10}^{2} = \\ [/tex]
[tex]5.21 \times {10}^{2} \times {10}^{2} = 5.21 \times {10}^{4} = \\ [/tex]
[tex]10 \times {10}^{4} = {10}^{5} [/tex]
inequality is shown 1/8
Answer: answer is D 0.02
Step-by-step explanation:
Got it right
What is the slope of a line parallel to the line whose equation is 6x - y = 1. Fully
reduce your answer.
The fraction 4/10 can be written as what
Answer:
In decimal form 0.4 or 4/10 or 2/5 (simplified). Also, in percentage form 40%.
Step-by-step explanation:
Evaluate f(x) = -4x - 5 for x = -1.
A. -9
B. -1
C. 1
D. 4
Answer:
the answer is c. 1
Step-by-step explanation:
f(x)= -4x -5
f(-1)= -4(-1) -5
f(-1) =4 -5
f(-1)= -1
f(-1/-1) =-1/-1
f= 1
helpppplpppplllplplp!!!??!
Answer:
my answer came out to 8.3 repeating
Step-by-step explanation:
Solve for s in terms of t, u, v, and w. su=twv
Answer:
Hi there
Your answer is
s= (twv)/u
Step-by-step explanation:
su=twv
/u
s= (twv)/u
How do u do this question?
A --------¢ D
B --------¢ E
C --------¢ F
Just match like this buddy.
will give out brainliest, a THX, a friend request, and will rate ur answer
Answer:
E. 35/4
Step-by-step explanation:
Multiply denominator (4) to the whole number (8) then add to the numerator (3)
(8× 4 + 3)/ 4
(32 + 3)/4
35/4
Evaluate
5
9
÷
5
18
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