Write the equation of the function of a parabola with vertex at (–1,–2) and a point (1,–6) that lies on the curve.
Question 9 options:
f(x) = −(x − 1)2 − 2
f(x) = −(x + 1)2 − 2
f(x) = (x + 1)2 – 2
f(x) = (x − 1)2 − 2
Answer:
The second answer is the correct one, f(x) = -(x + 1)² - 2
Step-by-step explanation:
We know that the answer must either be the second or third, because those two have (x + 1) squared, which means that the vertex must have an x co-ordinate of -1.
We also know that the third one can't be correct, as the y-coordinate of -6 requires a negative coefficient of the x^2. Without that the parabola would be moving upward from its vertex of (-1, -2).
With those we can eliminate all answers but the second one
Answer:
Step-by-step explanation:
Write the equation of the function of a parabola with vertex at (–1,–2) and a point (1,–6) that lies on the curve.
Question 9 options:
f(x) = −(x + 1)2 − 2
PLZ HELP ASAP! WILL GIVE 30 POINTS AND BRAINLIEST! which sequence of transformations will generate the same image as translating a figure 8 units to the left?
a) a reflection over the line x= -1 followed by a reflection over the line x= -9.
b) a reflection over the line x= -3 followed by a reflection over the line x= -5.
c) a reflection over the line x= -7 followed by a reflection over the line x= -3.
d) a reflection over the line x= -9 followed by a reflection over the line x= -13.
what is the answer 2x5-5=
Pierce swims 10 laps in a pool in 8 minutes. He spent the same amount of time on each lap. How much time did each lap take him?
Answer:
48 sec.
Step-by-step explanation:
8 devided by 10.
Answer:
48 seconds
Step-by-step explanation:
8 min / 10 laps = 0.8 mins
to convert minutes into seconds, multiply by 60
0.8*60 = 48 seconds
American households increasingly rely on cell phones as their exclusive telephone service. It is reported that 53.0% of American households still have landline phone service. We decide to randomly call eight households and ask if the home has a landline phone.
Required:
a. What is the random variable?
b. What is the probability that none of the households in the sampled group have landline phone service?
c. What is the probability that exactly five of the households in the sampled group have a landline phone service?
Solution :
a). According to the reports, 53.0% of the American households still have a landline phone service. Out of which 8 households are randomly called.
Here, the landline phone service is p = 53.0%
n = 8
Therefore, q = 1 - p
= 1 - 0.53
= 0.47
here we use the binomial distance because the probability of having the landline phone service is constant and the number of the trial are finite.
b). Let x be the number of household in the sample group having landline phone service.
Probability that none of the household in the sample group have a landline service is
= P( x = 0)
[tex]$=^8C_0 (0.53)^0(0.47)^8$[/tex]
= 0.002 (using the binomial calculation )
c). Probability that exactly 5 of the household in the sample have a landline service is given by :
P(x = 5)
[tex]$=^8C_5 (0.53)^5(0.47)^3$[/tex]
= 0.24
A countertop is 11 feet long and 8 feet wide.
Part 1 out of 2
What is the area of the countertop in square meters? Use the conversion 1 foot = 0.305 meter. Round your final answer to 2 decimal places.
The countertop is
square meters.
Part 2 out of 2
Tile costs $28 per square meter. How much will it cost to cover the countertop with new tile?
It will cost $
to cover the countertop with new til
PLZZZZZ
HELPPPPPP
MEEEEEE
PLZZZZZ
Does Mario Kart have a secret agenda? Is it promoting capitalism, socialism, or communism?
Find the values of x and y.
2x 28 4y 28
Answer:
y=7
x°=15°
Step-by-step explanation:
First we see that there is a equilateral triangle (all angles and also sides should be equal to each other) meaning that 4y=28, which simplifies to y=7
Additionally, we can see that one of the acute angles of the equilateral triange is complementary with the 2x° angle, so 2x°+(the acute angle)=90°
Since the triangle is equilateral each angle must be equivalent and since there is only 180° in a triangle each angle is 180°/3=60°
so 2x°+(60°)=90°
simplify for x°
2x°=30°
x°=15°
3(x + 3) − 2 < 4
does anyone know this?
Answer:3 + ? = 7, 3 + n = 7, 3 + x = 1
Step-by-step explanation:
and so on, where the symbols ?, n, and x represent the number we want to find. We call such shorthand versions of stated problems equations, or symbolic sentences. Equations such as x + 3 = 7 are first-degree equations, since the variable has an exponent of 1. The terms to the left of an equals sign make up the left-hand member of the equation; those to the right make up the right-hand member. Thus, in the equation x + 3 = 7, the left-hand member is x + 3 and the right-hand member is 7.
Answer:
Inequality Form: x < −1
Interval Notation: (−∞, −1)
Step-by-step explanation:
3 (x + 3) −2 < 4
Simplify 3 (x + 3) − 2.
Apply the distributive property.
3x + 3 ⋅ 3 − 2 < 4
Multiply 3 by 3.
3x + 9 − 2 < 4
Subtract 2 from 9.
3x + 7 < 4
Move all terms not containing x to the right side of the inequality.
Subtract 7 from both sides of the inequality.
3x < 4 − 7
Subtract 7 from 4.
3x < −3
Divide each term by 3 and simplify.
x < −1
The result can be shown in multiple forms.
Inequality Form: x < −1
Interval Notation: (−∞, −1)
BRAINLIEST
please help and leave a small explanation :)
Answer:
180-118= 62
Answer is angle E= 62
Step-by-step explanation:
Vertical opposite angle of 118 is 118
So, we found out the interior angle. And sum of interior angles is 180. So you subtract 118 from 180 to get angle E.
Hope this helps!!!
Answer:
E is 62
Step-by-step explanation:
First find any angle relationships with the angle 118.
You can see that 118 can go next to E (corresponding angles).
That is a straight line, so in total it will 180 degrees.
180-118 would be E.
180-118 is 62.
hope this helps! :)
lucy’s hair grew 5/12 foot over the past year
Answer:
5 inches
Step-by-step explanation:
5/12 feet is 5 inches because there are 12 inches in a foot.
Find f(4)— this means calculate the output of the function when x=4.
F(x)=1
—
X-2
Answer:
(This means find the output of the functions when x = 4) Find x when f(x)=1 (This means find the input that gives an output of 1.) Found 2 solutions by Alan3354, ... John My calculator said it, I believe it, that settles it
Step-by-step explanation:
Find each difference.
A: (−5)−6
B: 35−(−8)
C: −438−(−114)
Answer:
A = -11
B = 43
C = -324
Step-by-step explanation:
-5 - 6 = -11
35 + 8 = 43
-438 + 114 = -324
Suppose that the functions s and t are defined for all real numbers x as follows.
s(x)=2x-2
t(x)=3x
Write the expressions for (s-t)(x) and (s+t)(x) and evaluate (s⋅t)(-1)
Can't seem to figure it out
Answer:
Step-by-step explanation:
Given functions are,
s(x) = 2x - 2
t(x) = 3x
(s - t)(x) = (2x - 2) - 3x
= -x - 2
= -(x + 2)
(s + t)(x) = (2x - 2) + 3x
= 5x - 2
(s . t)(x) = (2x - 2)(3x)
= 6x² - 6x
(s . t)(-1) = 6(-1)² - 6(-1)
= 6 + 6
= 12
I will give brainiest to whoever answers correctly !!
Solve the equation. w/5 =3 w=
Answer:
15
Step-by-step explanation:
[tex]\frac{w}{5}[/tex] = [tex]3[/tex] (multiply both sides by 5)
w= 15
Answer:
w= 15
Step-by-step explanation:
1. Multiply all terms by the same value to eliminate fraction denominators
2. Then simplify
simplify the expression -3÷(-2/5)
Answer:
7 1/2
Step-by-step explanation:
Because you have to keep, change, flip and it is positive because they both are negative
Can you mark me brainliest
Plz help me Plz this is 7th grade math
Answer:
d=90 e=99 f=81
Step-by-step explanation:
d is a right triangle so its a 90 degree, e is vertical angle so it would be the same as the one ajacent so its 99. F is a linear pair with e so its 81 because 180-99=81.
Please help me! I’m begging you I’ll mark you brainly!
Answer:
A = 2x^2 + 11x + 15
B = 3x^2 - x - 2
A-B = -x^2 +12x +17
A soccer team is saving money to buy new uniforms. The total cost for the uniforms is $88.74. There are 9 players on the team, and each player needs to save the same amount.
How much money does each player need to save?
A
$9.86
B
$98.60
C
$798.66
D
$788.66
Answer: A
Step-by-step explanation: $88.74÷9=$9.86
$88.74 is the total amount
9 players, and each player has to pay the same amount
we have to divide it evenly in 9 pieces, so we divide $88.74 into 9 groups which then equals $9.86
Hope this helps!
A ski lift makes a 35° angle of elevation with the ground and takes passengers on a 6,550-foot ride up a mountain. Charlotte needs to figure out the elevation of the lift. Which equation and diagram can be used to model this problem?
Answer:
Top right one is the answer
Step-by-step explanation:
B :)
The elevation of the lift is equivalent to 11293.1 ft.
What is the angle of elevation?The angle of elevation is an angle that is formed between the horizontal line and the line of sight.
Given is that a ski lift makes a 35° angle of elevation with the ground and takes passengers on a 6,550 foot ride up a mountain.
Assume the elevation to be [x] ft. We can find the elevation as -
sin (35°) = (6550/x)
x = {6550/sin(35°)}
x = (6550/0.58)
x = 11293.1 ft
Therefore, the elevation of the lift is equivalent to 11293.1 ft.
To solve more questions on Angle of elevation, visit the link below-
https://brainly.com/question/29008290
#SPJ2
PLZ NEED HELP QUICK PLZ
Answer:
Slope = 3
Step-by-step explanation:
For a proportional relationship, the slope of the line is simply y/x.
So using any given pair of values from the table, say (1, 3), the slope is:
y/x = 3/1
Slope = 3
(3x + 4) (1 - 1)
Evaluate the limit lim
a.-3
b. 3
c. 1
d limit does not exist
n +8<-2 or 8+ n > 5
I’m supposed to solve and graph this compound which I did but I’m not sure if it’s correct or not it’s after school hours and I’m not allowed to contact my teacher
I got n<-10 Or n>-3
I just want to know if I did this correct please? Sorry for the messy handwriting in the picture
Answer:
the first one n + 8 < -2 is correct, the second one is correct too, but its just the graph that is wrong. n > -3, since its greater, it should increase in number, so the line would go toward the right, the opposite direction you drew down.
Step-by-step explanation:
Hope this helps
Pls answer asap
Will give brainliest
Answer:
8
Step-by-step explanation:
the answer is option c8
thank u
6x – 5 = 37 Please help I need it
98 points Please help
Answer: X = 7.
Step-by-step explanation: Move all terms that don't contain x to the right side and solve.
I'll go step-by-step.
1. Add 5 to both sides. 6x-(5+5)=37+5
2. Simplify 6x=42
3. Divide both sides by 6. [tex]\frac{6x}{6} =\frac{42}{6}[/tex]
4. Then simplify/Divide. 42 / 6 = 7
That's how you get 7!
X = 7
Hey there!
6x - 5 = 37
ADD 5 to BOTH SIDES
6x - 5 + 5 = 37 + 5
CANCEL out: -5 + 5 because it gives you 0
KEEP: 37 + 5 because it help solve for the x-value
NEW EQUATION: 6x = 5 + 37
SIMPLIFY IT!
6x = 42
DIVIDE 6 to BOTH SIDES
6x/6 = 42/6
CANCEL out: 6/6 because it give you 1
KEEP: 42/6 because it gives you the x-value
NEW EQUATION: x = 42/6
SIMPLIFY IT!
x = 7
Therefore, your answer is: x = 7
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
please help with these two!!!
17. Given f(x) = e*-7, select the statement that is true.
A. f-'(x) = In x - 7
B. f-'(x) = In(x - 7)
c. f-'(x) = In x + 7
D. f-'(x) = In(x + 7)
Answer:
thanks for the points here u go
Step-by-step explanation:
Solve for x.
I will give brainliest
Answer:
22.5
Step-by-step explanation:
Everything equals 180. This means that the 90 degree angle creates half of that would mean that everything on the right side of the 90 degree angle, also has to equal 90 degrees. X=22.5 because you have to combine like terms meaning x + 3x = 90- 4x=90. Divide by 4 on both sides of the equals sign. Plug that into a calculator and you get 22.5 Since it is only asking for the singular x, you don't have to solve for 3x. (It would be 67.5)
If the function g(x) = f(x + 4), how can the graph of the functiong g(x) be obtained
from the graph of f(x)? DESMOS
Answer:
f(x) shift back left 4 units is g(x) = f(x+4)
Step-by-step explanation:
f(x + 4) shift 4 units to right is f((x+4)-4) = f(x)
therefore from f(x) shift back left 4 units is g(x) = f(x+4)
I wish this is your answer!!
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!
Answer: y ≥ − 2
Step-by-step explanation : hope it helps :)
