Answer:A
Step-by-step explanation:11m3-
3.
Which of the following describes the parabola with the equation y = −x^2 − 3x + 6?
A. The axis of symmetry is x = −1.5 and the vertex is (−1.5, 8.25).
B. The axis of symmetry is x = 0 and the vertex is (0, 6).
C. The axis of symmetry is x = −1 and the vertex is (−1, −3).
D. The axis of symmetry is x = 1.5 and the vertex is (1.5, 12.75).
Answer:
A. The axis of symmetry is x = −1.5 and the vertex is (−1.5, 8.25).
Step-by-step explanation:
I will solve the problem by applying the perfect square trinomial. In this way we obtain the canonical form. Another way would be to derive the function, but I don't know if you're familiar with it.
First: let us take out the common factor: , since we remember that the canonical form is characterized as follows:
Then, it remains:
Then: the coefficient of the variable We divided it between , And we square it (they will be one positive and one negative). In our case:
Let's accommodate terms to make it easier:
Can be written as :
Now, what is underlined is our perfect square trinomial, let us recall its form:
Applying the same principle we are left:
Applying distributive property we get:
Therefore it will have its vertex in:
The axis of symmetry is a straight line that makes the function to be projected being , for this you need some reference point, for the parabola you need the coordinate in of the vertex.
For which the axis of symmetry is .
I love you so much !
a. The axis of symmetry is x = −1.5 and the vertex is (−1.5, 8.25).
Step-by-step explanation:
The axis of symmetry is x = − b/2a
= -(-3) / 2(-1)
= 3/(-2)
= -1.5
the vertex => x = -1.5
y= -(-1.5)²-3(-1.5)+6 =
-2.25 +4.5+6= 8.25
Today is the Harperville Fall for Fun festival, and Naomi is volunteering at the balloon stand. When she practiced last night, Naomi made 6 balloon animals in 12 minutes. Naomi is signed up for a 60-minute slot at the balloon stand.
If Naomi keeps the same rate, how many balloon animals will she make?
Answer:
30
Step-by-step explanation:
i just searched it up
Answer:
30
Step-by-step explanation:
Find the slope of the line passing through the points (-3,9), and (-3,8) I need before 09:30
Answer: The entered points belong to a vertical line. There is no slope.
Equation: x = -3.
Step-by-step explanation:
I need help writing done the work
Step-by-step explanation:
1). 6, 9, 10
6²+9² =
36+81 = 117
10² = 100
6²+9² > 10²
the acute triangle
2). 2, 12, 13
2²+12² =
4+144 = 148
13² = 169
2²+12² < 13²
the obtuse triangle
3). 9, 12, 19
9²+12²=
81+ 144 = 225
19² = 361
9²+12² < 19²
the obtuse triangle
4). 21, 28, 35
21²+28² =
441 + 784 = 1,225
35² = 1,225
21²+28² = 35²
the right triangle
_________
[tex]\:[/tex]
Answer in the picture.
is 75 in less or greater than 7 ft
Find the slope of the line shown below.
Answer:
y=5
Step-by-step explanation:
The x has different values while the y will remain 5 for each value.
A barge traveled 30 miles up a river in 5 hours What was the average rate of travel, in miles
per hour, of the barye?
Answer:
6 miles per hour
does this help??
Step-by-step explanation:
Average speed = distance/time = 30/5 = 6 miles/hour
what is 165.982 rounded to the nearset thousand
Answer:
that is the nearest thousands decimal place
how many rotations will it take if it takes 729 days
Answer:
3
Step-by-step explanation:
Liara has seen 20 movies so far this year. If 15% of them were comedy, how many comedy movies has she seen so far this year?
Answer: She have seen 3 comedy movies this year
Step-by-step explanation:
15% of 20 = 3
Answer:
3 movies
Step-by-step explanation:
15%×20
=
[tex] \frac{15}{100} \times 20 \\ = 3[/tex]
what is the answer to 10x + 35?
Answer: 5 (2x+7)
Step-by-step explanation:
Answer:
5 (2x + 7)
Step-by-step explanation:
1) Common Factor.
⇒ 10x + 35
⇒ 5 (2x + 7)
solve the equation 2y=7(y−2)+4
y =
Answer:
y = 2
Step-by-step explanation:
Hi there!
[tex]2y=7(y-2)+4[/tex]
[tex]2y=7y-14+4\\2y=7y-10\\0=5y-10\\5y=10\\y=2[/tex]
I hope this helps!
Step-by-step explanation:
2y = 7(y-2) + 4
→ 2y = 7y - 14 + 4
→ 2y = 7y - 10
→ 2y - 7y = -10
→ - 5y = -10
Therefore, y = 10:5 = 10/5 = 2 Ans.
Given: TRY =EFT. What angle is congruent to R?
A.<F
B.<E
C.<T
D.<Y
Step-by-step explanation:
option A angle F is correct ans.
HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE
Select the correct answer.
The graph of f(x) = 7^x is stretched vertically by a factor of five. Which of the following is the equation of the new graph, g(x)?
Answer: I think its d
Step-by-step explanation:
Mr. Hann is trying to decide how many new copies of a book to order for his students. Each book weighs 6 ounces .Which ordered pair is a viable solution if x represents the number of books he orders and y represents the total weight of the books, in ounces?
Answer:
The math equation would be 6 * x = y
Step-by-step explanation:
Or it would be y / x = 6
Curtis decided to go on a road trip to Canada. On the first day of his trip, he drove for 12 hours and traveled 660 miles. At what rate did he travel on the first day, in miles per hour?
Answer: 55mph
Step-by-step explanation:
660/12=55 simple math don't be scared of word problems
Answer:
55 miles per hour
Step-by-step explanation:
Speed =Distance divided by time
Rewrite 5(8+2) using the distributive property of multiplication over addition
Answer:
(8+2) + (8+2) + (8+2) + (8+2) + (8+2)
Step-by-step explanation:
The distributive property of multiplication allows you to show multiplication as addition.
Katie has $6,500 in a saving account if she earns 6% interest every month how much money does Katie have in your bank account after half a month how much money does Kaite have in her bank account after half a year.
AND IF SOMEONE DARES TO PUT A LINK PLEASE DON'T
Answer:
bad question sadly she would technechly have 6500 after half a month bc you only apply interest after the minth but im guessing she wants us to half it to make it for half the month so 6500*0.03= $195 in half the month
and half a year would be 6500*.06*6= $2340 after half a year
If
m ≤ f(x) ≤ M
for
a ≤ x ≤ b,
where m is the absolute minimum and M is the absolute maximum of f on the interval [a, b], then
m(b − a) ≤
b
If
m ≤ f(x) ≤ M
for
a ≤ x ≤ b,
where m is the absolute minimum and M is the absolute maximum of f on the interval [a, b], then m(b − a) ≤ f(x) dx ≤ M(b − a).
f(x) dx ≤ M(b − a).
Use this property to estimate the value of the integral.
8
(10x − 20 sin(x)) dx
7
Use the fact that -1 ≤ sin(x) ≤ 1.
Then
20 ≥ -20 sin(x) ≥ -20 … … … (multiply each side by -20)
-20 ≤ -20 sin(x) ≤ 20 … … … (swap the endpoints)
10x - 20 ≤ 10x - 20 sin(x) ≤ 10x + 20 … … … (add 10x to each side)
and over the interval [7, 8], we have
7 ≤ x ≤ 8
70 ≤ 10x ≤ 80 … … … (multiply each side by 10)
so that the whole integrand is bounded by
70 - 20 ≤ 10x - 20 sin(x) ≤ 80 + 20
50 ≤ 10x - 20 sin(x) ≤ 100
Take m = 50 and M = 100. It follows that
[tex]50(8-7) \le \displaystyle \int_7^8 (10x-20\sin(x)) \, dx \le 100(8-7)[/tex]
which places the value of the integral between 50 and 100.
If the measure of angle 1 = 9x +6 and the measure of angle 2 = 2 (5x - 3), find x
Answer:
x=12
Step-by-step explanation:
<1 and <2 are equal since they are alternate exterior angles for parallel lines
9x+6 = 2(5x-3)
distribute
9x+6 = 10x-6
Subtract 9x from each side
9x+6-9x= 10x-6-9x
6 = x-6
Add 6 from each side
6+6 =x-6+6
12=x
Answer:
See below for answer.
Step-by-step explanation:
m∠1 = m ∠2 If lines are parallel, then alternating exterior angles are =
Therefore
a ║ b Given in the figure
m∠1 = m ∠2
9x + 6 = 2(5x - 3)
9x + 6 = 10x - 6 Distributive
9x + 12 = 10x Addition
12 = x Subtraction
free brainiest!!
10x82
Answer:
820
Step-by-step explanation:
82 ten times would just put a zero next to 82 then it would make it 820 And sorry for being 6 months late.
jacob jogs 3/4 miles he than jogs 1/3 mile how many miles does he jog
Answer:
he jogs 1mile and 1 of 12 of a mile
3=-2(x+7)+5x+12-8x Please help me ASAP
Answer:
3=-2x-14+5x+12-8x
3+14-12=-2x+5x-8x
5=-5x
x=(-1)
A recipe for fruit punch calls for 9 cups of grape fruit juice for every 4 cups of orange juice if 60 cups of orange juice are used then how many cups of grapefruit juice are needed
Answer:
135 cups of grape juice
Step-by-step explanation:
Answer:
15 cups of grapefruit juice
plz mark brainllest if right
If 3 gallons of paint covers
925 ft^2, how many gallons
would be needed to cover
2775 ft^2?
Answer:
9 gallons
Step-by-step explanation:
Divide 2775 / 925 , that equals 3 .
So if there's 3 gallons needed for each 925 square feet, you I'll need 9 gallons total .
:)
There were 82 goldfish in the tank at Jeremy’s birthday party. If this was 20% of the fish in the tank, how many fish were in the tank
Answer:
410 i think
Step-by-step explanation:
19) 8(8 + 2x) = -36 - 4x
SOLVE FOR X PLEASE IM STUCK ON THIS ONE
Answer:
x = -5
Step-by-step explanation:
Mi tío compró un terreno campestre de forma rectangular que mide 3/4 hm de largo y 1/2 de ancho, ¿Cual es su área ?
Answer:
¿Cómo y por qué? El área de un rectángulo se represa mediante la relación:
Área = largo · ancho
En este caso conocemos:
3/4 hm de largo: l = 3/4
1/2 hm de hm: a = 1/2
La unidad hm, son los hectómetros. Un hectómetro equivale a 100 metros.
Calculamos el área:
A = (3/4 · 1/2) hm²
The area of rectangular piece of land that measures 3/4 m long and 1/2 m wide is 3/8 square meters
What is the Area of Rectangle?The area of rectangle is -
A = L x B
Given is a rectangular piece of land that measures 3/4 m long and 1/2 m wide.
We can calculate the area using the formula -
Area = Length x Width
A = 3/4 x 1/2
A = 3/8 square meters
Hence, the area of rectangular piece of land that measures 3/4 m long and 1/2 m wide is 3/8 square meters
To solve more questions on Areas, visit the link below-
brainly.com/question/21412891
#SPJ2
[Question in English for clear understanding -
My uncle bought a rectangular piece of land that measures 3/4 m long and 1/2 m wide. What is its area? ]
2x + 3y = 4
2x= 7y + 24
Let's solve for x.
2x+3y=4
Step 1: Add -3y to both sides.
2x+3y+−3y=4+−3y
2x=−3y+4
Step 2: Divide both sides by 2.
2x/2
=−3y+4/2
x=−3/2y+2
Answer:
x=−3/2y+2
Luna runs 5,000 m in 35 minutes during a cross-country meet. What was her speed?
A. 0.007 m/min
B. 4,965 N
C. 5,035 N
D. 143 m/min
Answer:
D
Step-by-step explanation:
to calculate speed ( or v for velocity ) divide the space traveled by the time it took to travel that distance.
v = S/t = 5000m/35min = 143 m/min
