Answer:
f(x)=-4x+14
Step-by-step explanation:
These are the way to convert from vertex to stand form
Expand the expression in the bracket: y = a*(x² - 2*h*x + h²) + k ;
Multiply the terms in the parenthesis by a : y = a*x² - 2*a*h*x + a*h² + k ;
2. what equation passes through the 2 points (0,5) and (-12, -1)
||3x-4|-5|>1
Please Help Me!
20 points!
Answer:
4(3 −1)−5=75
Step-by-step explanation:
Mia is three years older than twice her sister Brooke's age. The sum of their ages is less than 30.
What is the greatest age Brooke could be?
a.) 7
b.) 8
c.) 9
d.) 10
the correct answer is b. 8
What is the value of x?
12 ft
13 ft
X ft
A child flies a kite at a height of 90 ft, the wind carrying the kite horizontally away from the child at a rate of 30 ft/sec. How fast must the child let out the string when the kite is 150 ft away from the child?
By Pythagorean theorem and differential calculus, the child must let out the string when the kite is 150 feet away at a rate of change of 25.725 feet per second.
How to determine the rate of change of the string
The geometric representation of this question is based on the Pythagorean theorem:
l² = x² + y² (1)
Where:
x - Horizontal distance of the kite from the kite, in feet.y - Height of the kine, in feet.l - Length of the string, in feet.The rate of change of the length of the string is obtained by differential calculus:
[tex]2 \cdot l \cdot \dot l = 2\cdot x \cdot \dot x[/tex]
[tex]\dot l = \frac{x\cdot \dot x}{l}[/tex]
[tex]\dot l = \frac{x\cdot \dot x}{\sqrt{x^{2}+y^{2}}}[/tex] (2)
If we know that x = 150 ft, y = 90 ft and [tex]\dot x = 30\,\frac{ft}{s}[/tex], then the rate of change of the length of the string is:
[tex]\dot l = \frac{(150\,ft) \cdot \left(30 \,\frac{ft}{s} \right)}{\sqrt{(150\,ft)^{2}+(90\,ft)^{2}}}[/tex]
[tex]\dot l \approx 25.725\,\frac{ft}{s}[/tex]
By Pythagorean theorem and differential calculus, the child must let out the string when the kite is 150 feet away at a rate of change of 25.725 feet per second.
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A shopkeeper bought a fan for rupees 840 at what price should he sell it to make a profit of 10% If he makes a loss of 5% by selling at what is the selling price
Answer with Step-by-step explanation:
10% of 840 can be found by multiplying 840 by 0.10 (or dividing 840 by 10)
10% of 840 = 84
To make a profit of 84 he needs to sell at 840 + 84 = 924 rs
5% of 840 can be found by multiplying 840 by 0.05 (or dividing 840 by 20)
5% of 840 = 42
To make a loss of 42 he needs to sell at 840 - 42 = 798 rs
determine the intercepts of the line
Jason multiplied 1.5 by a power of ten and got 150. What power of ten did he multiply by?
Answer:
Jason multiplied 1.5 by the whole number 10.
Step-by-step explanation:
As opposed to multiplying 1.5 by the tenth power, in which Jason would've received 57.66503..., he multiplied 1.5 by 10 units, resulting in a product of 150.
Hope this helps!
The power of ten did he multiply by 2.
Given that;
Jason multiplied 1.5 by a power of ten and got 150.
Let us assume that;
The value of power = x
Hence it can be written as,
1.5 × 10ˣ = 150
Divide both sides by 1.5;
10ˣ = 150/1.5
10ˣ = 100
It can be written as,
10ˣ = 10²
This gives,
x = 2
Therefore, the value of power is 2.
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Somebody help me please
What is the largest number of sections you can get if you draw 4 straight lines through a circle?
Answer:
The correct answer is 11 sections.
Step-by-step explanation:
Hope This Helps!
when visiting baltimore md you need to rent a taxi to get from your hotel to the national aquarium. the taxi company charges a flat fee of $3 for using the taxi and $0.75 per mile. if you paid the taxi driver $24 how many miles did you travel
Answer:24-3 = 21 divided by .75 = 28 so the answer is 28 miles
Step-by-step explanation:
Tell whether the sequence is arithmetic, if it is, write a function rule to represent it.
4, 6.5, 9, 11.5, ...
What’s the length of line segment VT
Answer:
My answer is 13 units
Step-by-step explanation:
Hope it helps
In triangle ABC, AB = 2x cm, AC = x cm, BC = 21 cm and angle BAC = 120°. Calculate the value of x.
Answer: here, mark me as brainliest if you want please
For f(x)=4x+1 and g(x)=x^2-5, find (g/f)(x)
Answer:
[tex](g/f)(x) = \frac{g(x)}{f(x)} = \frac{ {x}^{2} - 5 }{4x + 1} [/tex]
I hope I helped you^_^
Which of the following could you use to solve this problem?
What is 25% of 37?
=
p = (0.25)37
= w
· 37
Answer:9.25
Step-by-step explanation:
urgent!!!! math problem
Recursive equation for -2, -5, -8, -11, -14
Answer:
f(0) = 1
f(x) = f(x-1) - 3
Step-by-step explanation:
probably use the style of your teacher
Plz help i am so S t u p i d
Answer: 23, 5, 3
Step-by-step explanation:
Problem a)
5 + 2 x 3^2
5 + 2 x 9
5 + 18
23
Problem b)
7 + 8 / 5 - 2
15 / 3
5
Problem c)
18- 3 x 2/ 5 - 1^2
18 - 6/ 5 - 1
12/4
3
Answer:
a is 7×9=63 b is 15 /3=5c is 30 / 4 = 7.5I don't think you should doubt the ability to do well you should have confidence in your self .
What value of x would result in the numerical value of zero in the expression?
x+1+(−1)
Answer:
x = 0
Step-by-step explanation:
Lets make an equation.
x + 1 + (-1) = 0
=> x + 0 = 0
=> x = 0
Kind request:
Please give me brainliest :)
what is x? -8=-(x+4)
Answer:
x=4
Step-by-step explanation:
Identify the slope-intercept form and the graph of the line described by the equation 3x − 3y = 15.
Answer:
The slope-intercept form is y=x-5
The graph is in the picture below
Step-by-step explanation:
To find the slope-intercept you need to move y all by itself:
y=mx+b
subtract 3x on both sides:
-3y=-3x+15
Divide by -3 on both sides:
y=x-5
Hope this helps!
(Why I took two pictures is because to show you that the line is the same even with it being slop-intercept form)
Sumita buys a set of earphones for £13.42.
She pays with £15.
How much change does she get?
Give your answer in £.
Answer:
Okay the answer is £1.56
Step-by-step explanation:
£15.00
-£13.42
£01.58
Brainliest if you liked the answer.
What is the domain of the function?
Can I please get help on this I don’t understand it :( BRAINIEST
is 4.212886… an rational or irrational number?
Answer:
irrational number
Step-by-step explanation:
An irrational number cannot be written as a ratio of two integers
How do I calculate a angle that is not named?
can someone please help
Answer:
3rd option
Step-by-step explanation:
Substitute x = 0 into f(x) and check if the result is - 6
f(0) = (0 + 1)(0 + 2)(0 + 3) = 1 × 2 × 3 = 6 ≠ - 6
f(0) = (0 + 1)(0 - 2)(0 - 3) = 1 × - 2 × - 3 = 1 × 6 = 6 ≠ - 6
f(0) = (0 - 1)(0 + 2)(0 + 3) = - 1 × 2 × 3 = - 1 × 6 = - 6 ✔
Thus the 3rd option crosses the y- axis at (0, - 6 )
HELP PLEASE?? Im confused caqn somone please help me ill make you brainliest .
Answer:
250.5 - 35 m = 300 - 35.25 m
Step-by-step explanation:
n ⇒ number of months it will take for both accounts to have the same amount of money
∴ the equation should be: 250.5 - 35 m = 300 - 45.25 m
⇒ 250.5 - 300 = -45.25m + 35m
⇒ -49.5 = -10 · 25m
m = 4950/1025
Answer:
b
Step-by-step explanation:
the correct equation is b
please explain and give answer
Angle 1=87°
Angle 2=88°
angle 1+2= 177
Step-by-step explanation:
I believe thsi should be right,
So angle 1 and 87° are the same because of some rule, then the angle above 2 would be 92 because of the same rule and its a straight line so 180-92=88 making angle 2, 88. When you add those it would be 177. Try that