The vertex of the given quadratic function is (-3, 0).
What is vertex form of a quadratic equation?The vertex form of a quadratic equation or function is [tex]f(x)=a(x-h)^{2} +k[/tex].
Where,
(h, k ) is the vertex
And, a is constant.
According to the given question
We have a quadratic function
[tex]f(x) = x^{2} + 6x + 9[/tex]
The above function can be written as
[tex]f(x) = x^{2} +2(3x) +9[/tex]
⇒[tex]f(x) = x^{2} + 2(3x) + (3^{2}) -(3)^{2} + 9[/tex]
⇒[tex]f(x) = (x+3)^{2} -9+9[/tex]
⇒[tex]f(x) = (x+3)^{2} + 0[/tex]
Comparing the above equation with the standard vertex form of quadratic function we get
h = -3 and k = 0
Hence, the vertex of the given quadratic function is (-3, 0).
Thus, option A is correct.
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Without showing the graph, explain how Maria’s graph of the two lines proves Peter is not correct.
Answer:
90
Step-by-step explanation:
90
find x
3x
2x+40
x+50
4x
Answer:
27
Step-by-step explanation:
The sum of all exterior angles of any quadrilateral= 360°
3x+2x+40+x+50+4x = 360°
11x + 90 = 360°
11x = 360 - 90
10x = 270
x = 270/10
x = 27
A scale drawing of an office space uses a scale of 1 in. : 4 yd. The scale drawing has an area of 12 square inches. What is the area of the actual office space?
Answer: 48 yards
Step-by-step explanation:
From the question, we are informed that a scale drawing of an office space uses a scale of 1 in. : 4 yd.
When the scale drawing has an area of 12 square inches, to get the area of the actual office space, we multiply the given number by 4 since the actual office space is 4× the scale drawing. This will be:
= 12 × 4 yards
= 48 yards
the unit cost of pencils purchased by the city's public schools is $.0435 each. Round to the nearest cent
Answer Both please and thank you
2(n + 5) = −2
144 =−12(x + 5)
Answer:
1. n=-6
2. x=-17
Step-by-step explanation:
12 X 0.4
Please help
Answer:
12 times 0.4 equals 4.8
Step-by-step explanation:
becase if u add 0.4 together 12 times thus will give you 4.8
12*4 = 48
48/10 = 4.8
-Please help I need it super bad I don't want to fail :(
-All circles
1. Area of a 7cm circle?
2.Area of a 3cm circle?
3.Area of a circle with a radius of 21cm?
4.Sarahs dining room table is round and has a radius of 4.5feet. What is the tabletops area?
5.If the radius is 51 feet then what is the area?
6.What is the area of 5m?
7.What is the area of 10 inches?
8. What is the area of 12.5cm?
9.What is the area of 21ft?
10.What is the area of 4m?
Answer:
;-;
Step-by-step explanation:
1) 153.86cm²
2) 28.26cm²
3) 65.94cm²
4) 63.585cm²
5) 8167.14ft²
6) 78.5m²
7) 314in²
8) 490.625cm²
9) 1384.74ft²
10) 50.24m²
Would the answer to this question be an rational or irrational number
Answer:
I believe rational
Step-by-step explanation:
Have a brainly day :D
Hi, i really need help!
Look at the images below:
(there is 2 images per question)
Answer:
The last one
Step-by-step explanation:
The triangle is simply reflected across the x-axis, so the side lengths and angle measures do not change.
A figure lies entirely in Quadrant I. The figure is reflected in the x-axis. In which quadrant is the image?
Answer: quadrant 4 i think...
Step-by-step explanation:
Answer:
Quadrant IV (4).
Step-by-step explanation:
It will be in the quadrant below which is Quadrant IV.
Chelsea’s family traveled 300 miles by car each day during their family vacation. How many miles did Chelsea’s family travel over all 6 days?
Answer:
1800 miles
Step-by-step explanation:
If they traveled 300 miles per day and traveled for 6 days you would multiply 300 by 6 and get 1800. I hope that helps
Plz help I don’t get what this is
Answer:
A) 98.94 sq. meters
B) 42 sq. meters
Step-by-step explanation:
A) So first we calculate the area for the square which is 15*20 = 300. Then we calculate the area of the circle which is pi*r^2 and in this case the radius is 4 which is 1/2 of 8. The area is approx. 201.06. Then we subtract that from 300. 300-201.06 = 98.94. The answer for A) is approx. 98.94
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
B)First we calculate the area of the whole square which is 8*6 = 48. Then the area of the garden which is 2*3 = 6. 48-6 = 42. The answer is B) is 42 then.
What is 3/16 times 3/8? Someone pls help me
Answer:
Step-by-step explanation:
3/16*3/8
3*3=9
16*8=128
9/128
Answer:
9/128
Step-by-step explanation:
How do you work out 3^2+2^3 indices
3^2 +2^3
9+2^3
9+8
Answer : 17
John is driving on the highway. He begins the trip with 12 Gallons of gas in his car.The car uses up one gallon of gas every 25 miles
Answer:
300
Step-by-step explanation:
12 gal x 25 miles = 300 miles he can go before needing more gas
Plz help 50 points I need help now is it due at 7:30
Answer:
50
Step-by-step explanation:
Help me please !!!!!!!!
Answer: Since x is 157 degrees the missing value,m, is 23 degrees because a line is 180 degrees, n is also 23 degrees so it would be the same
Step-by-step explanation:
3.72 plus 6.0064
(this is just part of my question.)
Answer:
9.7264
Step-by-step explanation:
3.72 + 6.0064 = 9.7264I hope this helps!
f(x) = 4x-1
g(x)=4- x
11) f(-4)=
12) For what value of x is g(x)=-4?
13) f(2)• g(2) =
14)
f(-3)
Step-by-step explanation:
11. f(-4)= 4x-1
11a. f(-4)= 4(-4)-1
11b. f(-4)= -16-1
11c. f(-4)=-17
12. For what value of x is g(x)=-4
12a. 4-? = -4
12b. 4-8= -4
12c. x = 8
13. (f(2)= 4x-1)×(g(2)= 4-x)
13a. (f(2)= 4(2)-1)×(g(2)= 4-(2)
13b. (f(2)= 8-1)×(g(2)= 4-2)
13c. (f(2)= 9)×(g(2)= 2)
13d. 18
14. f(-3)= 4x-1
14a. f(-3)= 4(-3)-1
14b. f(-3)= -12-1
14c. f(-3)= -13
What is the percent of change in the cost of a DVD set that originally sold for $49.99 and is now
on sale for $24.99? Round to the nearest percent.
Answer:
50% decrease
Step-by-step explanation:
49.99 - 29.99 = 25
25
---- = 0.5(100) = 50%
49.99
Answer: I dont know witch one you want me to round so I will do both. $49.99 = $50.00 and $24.99 = $25.00 and if you want to add them it would be $75.00
Simplify 4/9 - 5/12 + 1/4
Answer:
5/18
Step-by-step explanation:
The simplified answer is 5/18
Step-by-step explanation:
the answer is
0.27777777777
Solve by substitution
Answer:
(1,4)
Step-by-step explanation:
Answer: x = 1, y = 4
Steps: 3y + 4x = 16, -2x + y = 2
Isolate y for 3y + 4x = 16: y = (16 - 4x ÷ 3)
Substitute y into the other equation (-2x + y = 2): -2x + (16 - 4x ÷ 3) = 2
Simplify: 16 - 10x ÷ 3 = 2
Isolate x for 16 - 10x ÷ 3 = 2: x = 1
Substitute x = 1 into y = (16 - 4x ÷ 3): y = 16 - 4x · 1 ÷ 3
y = 4, x = 1
Plz mark brainliest:)
brainliest and 60 points ;)
8 * 65 * 7 * 321 * 0 * 1=??
Answer: 0
Step-by-step explanation:
Any expression multiplied by 0 = 0
What is the factored form of 5x − 625x4?
A.
5x(1 + 5x)(1 − 5x + 25x2)
B.
5x(1 − 5x)(1 + 5x + 25x2)
C.
(1 − 5x)(1 + 5x + 25x2)
D.
(1 + 5x)(1 − 5x + 25x2)
Answer:
B)
Step-by-step explanation:
Answer:
I think b
Step-by-step explanation:
Create three different expressions that are each equal to 20. Each expression should include only these three numbers:
4
-2
10
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The three expressions that use only 4, -2, and 10 and that are equal to 20 are:
4 x 2 - (-2) + 10
4 x 10 + (-2) x 10
-2 x (-2) + 4x4
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example:
2 + 3x + 4y = 7 is an expression.
We have,
20
The three expressions that are equal to 20 using only 4, -2, and 10 are:
First expression:
4 x 2 - (-2) + 10
= 8 - (-2) + 10
= 8 + 2 + 10
= 20
Second expression:
4 x 10 + (-2) x 10
= 40 - 20
= 20
Third expression:
-2 x (-2) + 4x4
= 4 + 16
= 20
Thus,
The three expressions that use only 4, -2, and 10 and that are equal to 20 are:
4 x 2 - (-2) + 10
4 x 10 + (-2) x 10
-2 x (-2) + 4x4
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I WILL BRAINLEIST PLEASEMegan earned $4 an hour for babysitting. She earned $16 on Saturday. How many hours did she babysit?
Answer:
4 hours
Step-by-step explanation:
16/4= 4
Please help me with this question!!
Answer:
the answer you are looking for is B
Answer:
i think the answer is A
Step-by-step explanation:
values of x and y
to
135°
Step-by-step explanation:
Answer:
xy/100=135
xy=13500
x=13500/y
solve the formula please!!!!!!!!
264 equals the sum of 96 and t
Write the sentence as an equation.
Answer:
96+t=264
Step-by-step explanation: