Answer:
m = 2 and n = -10
Step-by-step explanation:
The given function is f(x) = x² + 4·x - 6
The form in which f(x) is to be written = (x + m)² + n, which is the standard form of a quadratic equation
We have;
f(x) = x² + 4·x - 6 = x² + 4·x + 4 - 6 - 4
f(x) = x² + 4·x + 4 - 6 - 4 = (x + 2)² - 10
f(x) = (x + 2)² - 10
By comparison with (x + m)² + n, we have;
m = 2, and n = -10
Can somebody solve this
Answer:
A
Step-by-step explanation:
Hope this will help
Answer:
I think so it is option A)
I hope this might help u
Please need answer help help?!?!?
Answer:
5
Step-by-step explanation:
Explain how many cupcakes Jasmine can make if she had 5 1/4 cups of frosting but needs 3/8 cups for each cupcake
Answer:
jasmine can make 14 cupcakes
Step-by-step explanation:
5 1/4 = 5.25
3/8 = 0.375
5.25/0.375 = 14
Original price of a computer: $2,600.00 Discount: 6%
Answer:2444(new price after discount)
Step-by-step explanation:looked it up
2600-156
156(discount amount)
Answer:
Step-by-step explanation:
Need help asap will give brainly
Answer:
d is the answer
Step-by-step explanation:
have a great day :D
Answer:
D is the answer
Step-by-step explanation:
180-(65+50)=
65+50=115
180-115=65
what formula would you use to find the area of this figure?
Step-by-step explanation:
Find the area of a square or rectangle by multiplying the length times the width. This formula looks like l*w. If the length is 5 and the width is 2, the area is 10 square units. Calculate the area of a four-sided shape that is not a rectangle by multiplying the base (one of the sides) by the height.
I hope it's helpful!
May someone please help me with this :)
Answer:
24
Step-by-step explanation:
6+8=14 14+10=24
* A helicopter's altitude changes by – 28 ft in 3 s.
What is the average change in the helicopter's altitude
each second? Show your work.
Answer:
-9.33 ft per second
Step-by-step explanation:
To calculate this, you just have to divide -28 by 3. When doing this, it will give the change per second or for every 1 second.
-28/3 = -9.33
Therefore, the average change in the helicopter's altitude each second is -9.33 ft.
WILL GIVE BRAINLIST TO CORRECT ANSWER
3(10) + 2(x-4)
Answer:
2x+22
Step-by-step explanation:
The highway mileage (mpg) for a sample of 8 different models of a car company can be found below. Find
the mean, median, mode, and standard deviation. Round to one decimal place as needed.
20, 22, 26, 27, 30, 31, 35, 35
Mean =
Median =
Mode =
Standard Deviation =
Mean = 28.3 , Median = 28.5, Mode = 35, Standard deviation = 5.2
(All of the above are rounded off to one decimal place)
How to find mean, median, mode ?
The given data are : 20, 22, 26, 27, 30, 31, 35, 35
We know that, mean = (sum of samples)/(no. of samples)
= (20+22+26+27+30+31+35+35)/8
= 226/8 = 28.25 = 28.3 (approx)
Here, median = (sum of 4th & 5th sample)/2
= (27+30)/2 = 57/2 = 28.5
Since 35 appears highest number of times, i.e. 2 times, then we can say that mode is equals to 35
What is the required standard deviation ?Standard deviation = √{(20-28.3)²+(22-28.3)²+(26-28.3)²+(27-28.3)²+(30-28.3)²+(31-28.3)²+(35-28.3)²+(35-28.3)²}/8
= √{68.89+39.69+5.29+1.69+2.89+7.29+44.89+44.89}/8
= √(215.52/8) = √(26.94) = 5.190 = 5.2 (approx)
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Directions: (a) Identify the parent function and (b) describe the transformations.
Luke's bill for breakfast at a restaurant was $80. He left a 20% tip. What was the amount of
the tip?
Answer:
$16
Step-by-step explanation:
Multiply $80 dollars by 20% or .2.
You should get $16.
A tip for the future is to move the decimal point to the left twice.
ie. 60%=0.6, 175%=1.75, 3%=0.03
Answer the photo below thanks
Step-by-step explanation:
3 of the 4 options aren't prisms
A is a cuboid
B is a cube
C is a prism
D is a pyramid
Answer:
The answer is D.
I hope this helps.
Have nice day/night!!!!(wherever you are)
Please help answer correctly !!!!!!!! Will mark Brianliest !!!!!!!!
Answer:
Step-by-step explanation:
(4,3) and (6,9)
difference of x-coordinates = 6-4 = 2
difference of y-coordinates = 9-3 = 6
distance between points = √(2²+6²) = √40 = 2√10
1. What name is given to the shaded region?
a. sector b. segment c. arc d. radii
2. The line ST is called..........
a. an arc b. a chord c. a diameter d. a radius
Answer:
1.sector 2. chords
Step-by-step explanation:
chord of a circle is a straight line segment whose endpoints both lie on a circular arc. ... More generally, a chord is a line segment joining two points on any curve, for instance, an ellipse. A chord that passes through a circle's center point is the circle's diameter.
Consider the line y = 7x-5.
What is the slope of a line parallel to this line?
What is the slope of a line perpendicular to this line?
Answer:
[tex]\boxed {\sf Parallel: 7 }[/tex]
[tex]\boxed {\sf Perpendicular: -\frac{1}{7}}}[/tex]
Step-by-step explanation:
First, identify the slope.
We are given the line y=7x-5.
This is in slope intercept form or y=mx+b where m is the slope and b is the y-intercept. So, the coefficient to x, or 7 in this case, is the slope.
m=5Now, find the parallel and perpendicular slopes.
1. Parallel Slope
Parallel lines never intersect, so they have the same slope. A parallel line has a slope of 7.
2. Perpendicular Slope
Perpendicular slopes intersect to form right angles. They have negative reciprocal slopes.
Negate the slope: 7⇒ -7 Find the Reciprocal (flip the numerator and denominator: -7/1 ⇒ -1/7A parallel line has a slope of 7 and a perpendicular line has a slope of -1/7.
Answer:
I'll help
Step-by-step explanation:
Parallel lines have the same slope so it will be 7.
And perpendicular lines if you multiply them together they have to add up to -1,
So 7 you change it to its opposite which is 1 over 7 and yeah just
Task 3:
A frog sitting on a stump 4 feet high hops off and lands on
the ground. During her leap, the frog's height h in feet is
given by the equation h = -0.5d2 + d + 4, where d is the
horizontal distance in feet from the base of the stump.
A: What was the frog's maximum height?
B: How far from the stump did the frog land?
C: What was the frog's horizontal distance
from the log at her maximum height?
Answer:
A. 4.5 ft
B. 4 ft
C. 1 ft
Step-by-step explanation:
If you pretend that h is replacing y and d is replacing x and you would graph the equation, then you would get a parabola that opens down.
You would need to find the vertex of the parabola. The ordered pairs would be (d, h) instead of the normal (x, y).
A. The maximum height will be the h value of the vertex
B. Let h = 0 and solve the equation for d. That will give you distance from the stump that the frog landed.
C. The distance from the log at the maximum height is the d value of the vertex
So, that is what is needed to be done.
Without me going thru all the work, the vertex is (1, 4.5) and the solutions to the equation when h = 0 are 4, -2 (discard -2 since a distance cannot be negative)
So the answer to A is 4.5 ft.
The answer to B is 4ft.
The answer to C is 1 ft.
Now, can you find the vertex on your own and can you solve the equation when h = 0? I hope so. OK?
A function assigns the values. The maximum height will be when the horizontal distance is 1feet from the log.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
A.) The maximum height of the frog,
h = -0.5d²+d+4
dh/dd = -0.5(2d)+1
dh/dd = -d+1
0=-d+1
d = 1
The maximum height will be when the horizontal distance is 1feet from the log.
h = -0.5(1)² + 1 + 4
h = -0.5 + 1 + 4
h = 4.5
Hence, the maximum height of the frog will be 4.5 feet.
B.) The Distance between the frog and the stump when the frog land can be found,by putting h=0.
0 = -0.5(d)²+ d + 4
d²-2d-8=0
d²-4d+2d-8=0
d(d-4)+2(d-4)=0
d = 4, -2
Since the distance can not be negative, the frog is 4 feet away from the stump when the frog land.
C.) The maximum height will be when the horizontal distance is 1feet from the log.
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helpp please! i don't understand this
Answer:
Step-by-step explanation:
Remark
This is actually a six sided figure. That really doesn't matter, but it's interesting to observe. It goes a long way to explaining what is going on. The trick to exterior angles is that as long as the figure is convex ( a closed figure whose lines do not cross), the exterior angles add to 360.
Once you know that, then you know that this figure must have 6 exterior angles and no matter how they are made, their total is 360.
Equation
n + n + n + n + 90 + 90 = 360 Combine like terms.
Solution
4n + 180 = 360 Subtract 180
4n = 360 - 180
4n = 180 Divide both sides by 4
4n/4 = 180/4
n = 45
Note
Not a simple problem. Thanks for posting
HI GUYS PLEASE HELP WILL MARK YOU BRAINLIEST IF YOU HELP!! Distribute & combine like terms
Answer:
1: 25c+10
2: 29a+18b
3: -2b+24n+11-12m
4: 23m+10
5: 8x+3y+16
need help again !!!! Anyone plzzzz ?
PLEASE I NEED HELP ON This Please
Answer:
33
Step-by-step explanation:
The pattern is y = 5x + 8.
So, plugging in 5 for x gives you y = 5(5) + 8 = 33.
A Sb BC
B ABS SCT
C BAT CTA
D BA CA
HELP ME
16 What value could you put in place of the x to make it a function? * (8, 7) (7,-6) (-4,5) (x, 9)
a) 8
b) 7
c) 9
d) -4
Answer:
(c) 9
Step-by-step explanation:
You can't have a repeated x-value in a function.
8 is taken by (8, 7)
7 is taken by (7,-6)
-4 is taken by (-4, 5)
9 is the only number that is not taken by any other point yet.
Remember that for a relationship to be a function it can't have repeated x-values. However, it doesn't matter to have the same x and y values!
Hope this helped!
This is the pond in a shape of a prism, it is completely full of water. Colin uses a pump to empty the pond. The level goes down by 20cm in the First 30min Work put how many minutes Colin has to wait for the pond to completely empty
Answer:
150 minutes
Step-by-step explanation:
P.S - The exact question is -
Given - This is the pond in a shape of a prism, it is completely full of
water. Colin uses a pump to empty the pond. The level goes
down by 20 cm in the first 30 min.
To find - Work put how many minutes Colin has to wait for the pond
to completely empty.
Proof -
Given that,
Height of prism = 1 m
Also,
Base of the prism is trapezium and
Sides of the trapezium are 0.6 m and 1.4 m
Height of trapezium is 2 m
We know that,
Area of trapezium = [tex]\frac{1}{2}[/tex]× (sum of sides)× height
= [tex]\frac{1}{2}[/tex]× (0.6 + 1.4)× 2
= [tex]\frac{1}{2}[/tex]× (2)× 2
= 2 m²
⇒Area of trapezium = 2 m²
Now,
Volume of prism = Area of trapezium × height of prism
= 2 m² × 1 m
= 2 m³
⇒Volume of prism = 2 m³
Now,
Given that the level goes down by 20 cm in the first 30 min
We know
100 cm = 1 m
⇒1 cm = [tex]\frac{1}{100} m[/tex] = 0.01 m
⇒20 cm = 20×0.01 m = 0.2 m
⇒The level goes down by 0.2 m in the first 30 min.
Also,
we know that height of water = height of prism = 1 m
So, the remaining water left in the pond = 1 m - 0.2 m = 0.8 m
Also,
Volume of Remaining water = Area of trapezium × height
= 2 m² × 0.8 m
= 1.6 m³
⇒Volume of Remaining water = 1.6 m³
Now,
Volume of emptied water = Total Volume - Volume of Remaining water
= 2 m³ - 1.6 m³
= 0.4 m³
⇒Volume of emptied water = 0.4 m³
Now,
0.4 m³ water will be empty in 30 minutes
⇒ 1 m³ water will be empty in [tex]\frac{30}{0.4}[/tex] = 75 minutes
⇒1.6 m³ water will be empty in 1.6 × 75 = 120 minutes
∴ we get
The remaining water is empty in 120 minutes
So,
Total pond is empty in 120 + 30 minutes
⇒Total pond is empty in 150 minutes
angle relations
A) 73°
B) 149°
C) 163°
D) 31°
Answer:
D
Step-by-step explanation:
those angles are vertical angles so they are congruent.
What is this, (2r-1)(r-1)? I'm so confused.
Answer:
It looks like the factored form of a polynomial
Step-by-step explanation:
In unfactored form, it would be this:
2r^2 + -2r + 1
Value of people so that the expression 3(4+n) is equipment to 3(n+p)
Johanna is online shopping for a dress she really wants. The original cost of the dress is $50. She saw that exact same dress on sale for $34.What is the percent decrease for the dress Johanna wants to buy? Explain in writing/typing how you would solve the problem.
Answer:
32%
Step-by-step explanation:
50-34=16
16/50=0.32
0.32 x 100= 32
Substitute t=3 and t=5 to determine if the two expressions are equivalent.
4(t+3) 4t+12
which statements are true? check all that apply.
A. the value of both expressions when t=5 is 32.
B. the two expressions are not equivalent.
C. the value of both expressions when t=3 is 15
D. the value of both expressions when t=5 is 23
E. the two expressions are equivalent
F. the value of both expressions when t=3 is 24
Answer:
E
because both sides are equal when substituted by 3 & 5
Simon had $15 to spend for lunch. He bought a large orange soda for $3.25 and a
cheeseburger for $11.95. When he reached in his pocket to pay, he found another
$4.25 to use towards his bill. How much money did Simon have after paying for
lunch?
Answer:
$4.05
How:
1. $15 + the extra $4.25 = $19.25
2. $3.25 + $11.95 for the meal = $15.20
3. $19.25 - $15.20 = $4.05
Simon had $4.05 left after paying for lunch.