what is the domain of y=x^2-17
Answer:
The Vertex Form of a Parabola is:
g(x) = a(x - h)2 + k
vertex = (h, k)
rate = a (positive is up; negative is down)
a = -1/4 (downward parabola)
vertex = (17, 61)
There is no domain restriction.
Since the parabola is upside down (downward-facing), it reaches it's maximum at its vertex. In other words, is not possible for g(x) to be greater than 61.
Step-by-step explanation: hope this helped:/
The following figures are similar. Solve for x.
Answer:
i need a picture
Step-by-step explanation:
Choose an equation that would be used to solve
0 = -x^2 + 10x -8
(x+25)^2 = -8
(x-5)^2 = 17
(x-10)^2 = 25
The equation that would be used to solve the function is (x+5)^2 = 17
Given the quadratic equation -x^2 + 10x -8 = 0
This can also be written as:
-x^2 + 10x -8 = 0
x^2 - 10x + 8 = 0
x^ 2- 10x = -8
The coefficient of x is -10
Half of the coefficient of -10 = -10/2 = -5
Square the result = 5^2 = 25
Add 25 to both sides of the equation
x^2 - 10x + 25 = -8 + 25
x^2 - 10x + 25 = 17
(x+5)^2 = 17
Hence the equation that would be used to solve the function is (x+5)^2 = 17
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Newton uses two properties ti rewrite the expression (4x23)x25 identify the properties he used why would Newton use these properties
The two properties newton used to rewrite the expression are;
- Associative Property; Because it involves change of grouping of numbers in the expression.
- Distributive Property; Because it involves distribution of a number outside a bracket to numbers inside that same bracket.
This involves algebraic properties. There are 3 major types that work on only addition and multiplication namely;- Associative Property
- Commutative Property
- Distributive Property
Let us define each of them;
1) Associative Property; This property in algebra is one that means that no
matter how we group the numbers, we will still get the same result. e.g.
x + (y + z) = (x + y) + z.
2) Commutative Property; This property means that we can change the
order of operation and still get the same answer. For example;
p × q × r = p × r × q
3) Distributive Property; This property means that multiplying the sum of
two or more which are in a bracket by a number outside the will be equal to
the answer gotten when we multiply each number in the bracket
individually by the number outside and then adding their respective
products together. For example; p(q + r) = (p * q) + (p * r)
Newton has the expression; (4 × 23) × 25
Since it is multiplication, he can use any of the three properties above but let us use the associative and distributive properties as they are most suited to this expression.
For the associative property as shown above, he will arrive at;(4 × 23) × 25 = 4 × (23 × 25)
For the distributive property as shown above, he will arrive at;(4 × 23) × 25 = (25 × 4) + (25 × 23)
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CAN SOMEONE PLEASE DO THESE 4 QUESTIONS
3.2x-1.7x+5.5=10
3/4x-1/4x+14=3
3(2x+1)+x=-39
m+4(2m-3)+-3
I WILL GIVE BRAINLIEST AND YOU ARE A LIFESAVER
ALSO PLEASE SHOW STEPS!!
THANKS!!!!!
Problem
3.2x-1.7x+5.5=10
Steps:
1.5x + 5.5 = 10
1.5x X 10 + 5.5 X 10 = 10 X 10
15x + 55 - 55 = 100 - 55
15x = 45
15x/15 = 45/15
x = 3
Therefore questions ones answer is x = 3
Problem
3/4x-1/4x+14=3
Steps:
3/4x - 1/4x + 14 = 3
3/4x - 1/4x + 14 - 14 = 3 - 14
3/4x - 1/4x = -11
3/4x X 4 - 1/4x X 4 = -11 X 4
2x = -44
2x/2 = -44/2
x = -22
Therefore question two's answer is x = -22
Problem
3(2x+1)+x=-39
Steps:
7x + 3 = -39
7x + 3 - 3 = -39 - 3
7x = -42
7x/7 = -42/7
x = -6
Therefore question three's answer is x = -6
Problem
m+4(2m-3)+-3
Steps:
= m + 4 (2m - 3) - 3
= m + 8m - 12 - 3
= 9m - 15
Therefore question four's answer is 9m - 15
Complete the following magic square using the whole numbers 1-9. (Each row, column, and diagonal must have the same sum.)
6
1
1
8
00
Answer:
611800
Step-by-step explanation:
is the answer
i think
The ratio of men to women working for a company is 5 to 4. If there are 162 total, how may women work for the company
Answer:
72 women
Step-by-step explanation:
sorry it let me answer now
=============================================================
Work Shown:
m = number of men
w = number of women
The ratio of men to women is 5 to 4, which means m/w = 5/4
We can cross multiply and solve for m like so
m/w = 5/4
4m = 5w
m = 5w/4
m = 1.25w
Because there are 162 people total, we then can say:
m+w = 162
1.25w + w = 162
2.25w = 162
w = 162/(2.25)
w = 72
There are 72 women at this company and m = 1.25w = 1.25*72 = 90 men
m+w = 90+72 = 162
m/w = 90/72 = (5*18)/(4*18) = 5/4
Both of those two equations above help confirm our answer.
what percent of 235 is 148.05
Answer:
63% is the correct answer hope this helps
Hey ! Can anyone help me with this question please ? Thank you
Answer:
x=131°
Step-by-step explanation:
180°-49°=131°
<x is corressoping to the the angle next to <49°, so if you were to move it up there, it would be a linear pair or supplmentary angles, which equal 180°.
hello there
I am looking for help on this thanks.
Determine the value of the information in scientific notation.
The moon is approximately 3.63 × 108 meters from Earth.
What is 3.63 × 108 in standard notation?
Answer:
3.63× 108, this is not a scientific notation.
It should be like this:
3.63×10^8
=3.63×1.00000000/ 3.63×1.E8
=3.63
Answer:363,000,000
Step-by-step explanation:
Five times the sum of a number and 3 is the same as 3 times the number decreased by 7
Answer:
18
Step-by-step explanation:
5(n+3) =3(2n-1)
5n+15 =6n-3
18=n
what property is -8(x-3)=-32
Answer:
-8(x-3)=-32
(x-3)=-32+8
(x-3)=-24
x=-24+3
x=-21
Whats the answer to this question? ( Branliest )
Answer:
50
Step-by-step explanation:
p = 8
q = 6
p / 4
= 8 / 4
= 2
pq
= 8 x 6
= 48
p / 4 + pq
= 2 + 48
= 50
50
Hope this helped you- have a good day bro cya)
a(b+c)=a(d-e) solve for b
Answer:
b = - c + d - e
abcdefghijklmnopqrstuvwxyz
Graph the image of the figure using the transformation given. Don't forget prime marks on your new image. Part 1: reflection across the y-axis.
NO LINKS OR ASSESSMENT!
Answer:
see explanation
Step-by-step explanation:
Under a reflection in the y- axis
a point (x, y ) → (- x, y ) , then
J (1, 4 ) → J' (- 1, 4 )
K (1, 0 ) → K' (- 1, 0 )
L (4, 3 ) → L' (- 4, 3 )
Plot the points J', K', L' and connect them in order to obtain image
W What word problem below can be solved by 7/8 divided by 1/4.? a. Shelly has 1/4 cup of lemonade. She pours 7/8 of lemonade into each glass. how many glasses can Shelly fill? b. Shelly has 7/8 cup of lemondae. She pours 1/4 cup of lemondade into each glass. hom many glasses can Shelly fill? C. Shelly has 7/8 cup of lemondae. She drinks 1/4 cup. How much lemondae does Shelly have left? d. Shelly has 7/8 cup of sugar in her lemondae. She adds another 1/4 cup after tasting it. How much sugar does she have in her lemondae now?hat word problem below can be solved by 7/8 divided by 1/4
Answer:
b.
Step-by-step explanation:
Find the percent decrease. Round to the nearest percent.
From 17 bagels to 0 bagels
The percent decrease is %.
Answer: 100%
Step-by-step explanation:
the normal decrease is 0-17=17, then you take the original bagel count divide by the number of bagels decreased (which is 17) x100 percent.
you shld get 100%, thanks!
Can someone help with this question fast ? <3
Answer:
x=7
Step-by-step explanation:
x+x+3+2x-1=30
4x+2=30
4x=30-2
=28
x=28÷4
=7
Choose all the numbers that could be common denominators for 11/12 and 4/5.
Answer:
60
Step-by-step explanation:
list down the multiples of 12 and 5 to find the answer
HOPE THIS HELPS YOU
60 is the numbers that could be common denominators for 11/12 and 4/5.
What is multiplication?In mathematics, multiplication can be stated as a method of finding the product of two or more numbers. It is one of the important or primary arithmetic operations, that we use in everyday life.
here, we have,
given that,
11/12 and 4/5.
We have to do, the multiples of 12 and 5 to find the answer.
i.e. 12 * 5 = 60
so, 60 is the numbers that could be common denominators
Hence, 60 is the numbers that could be common denominators for 11/12 and 4/5.
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The polynomial of degree 4, P ( x ) , has a root of multiplicity 2 at x = 1 and roots of multiplicity 1 at x = 0 and x = − 2 . It goes through the point ( 5 , 336 ) . Find a formula for P ( x ) . P ( x ) =___
Show your work
We want to find a polynomial given that we know its roots and a point on the graph.
We will find the polynomial:
p(x) = (183/280)*(x - 1)*(x - 1)*(x + 2)*x
We know that for a polynomial with roots {x₁, x₂, ..., xₙ} and a leading coefficient a, we can write the polynomial equation as:
p(x) = a*(x - x₁)*(x - x₂)...*(x - xₙ)
Here we know that the roots are:
x = 1 (two times)x = 0x = -2Then the roots are: {1, 1, 0, -2}
We can write the polynomial as:
p(x) = a*(x - 1)*(x - 1)(x - 0)*(x - (-2))
p(x) = a*(x - 1)*(x - 1)*(x + 2)*x
We also know that this polynomial goes through the point (5, 336).
This means that:
p(5) = 336
Then we can solve:
336 = a*(5 - 1)*(5 - 1)*(5 + 2)*5
336 = a*(4)*(4)*(7)*5
336 = a*560
366/560 = a = 183/280
Then the polynomial is:
p(x) = (183/280)*(x - 1)*(x - 1)*(x + 2)*x
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What is the Lcm of 22 and 33 using prime factorization
My answer would be 66
The LCM of 22 and 33, using prime factorization, is 66.
What is Number system?A number system is defined as a system of writing to express numbers.
We have to find LCM of 22 and 33 using prime factorization
Factor each term into prime factors
22 = 2 x 11
33 = 3 x 11
Identify all of the unique prime factors of these two numbers.
Finally, we can find the LCM by multiplying each of these prime factors raised to their highest power that appears in either of the two factorizations.
LCM(22, 33) = 2x 3 x 11
LCM(22, 33) = 66
Therefore, the LCM of 22 and 33, using prime factorization, is 66.
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Given m || n, find the value of x and y.
m
(8x-5)
(y+16)
n
(5x-10)
Answer:
x=6
y=9 so it is the answer....
Find the value of x. The diagram is not to scale.
Given: angle SRT = angle STR, M Angle SRT = 20, m angle STU = 4x
In the given diagram, the value of x is 40
From the question,
we are given that
∠ SRT = ∠STR, and m ∠SRT = 20,
Also, from the question
m ∠STU = 4x
To determine the value of x,
From the diagram,
We can observe that
∠STR + ∠STU = 180° (Sum of angles on a straight line)
Since ∠ SRT = ∠STR, and m ∠SRT = 20,
Then,
∠STR = 20
Then,
∠STR + ∠STU = 180° becomes
20 + 4x = 180
To solve this,
First, subtract 20 from both sides
20 - 20 + 4x = 180 - 20
Then,
4x = 160
∴ x = 160 ÷ 4
x = 40
Hence, the value of x is 40
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Answer:
Step-by-step explanation:
The answer is 40.
x=40
Matthew has $540 in his bank account. He subscribes to a music streaming service for $7.99 per month. If he makes no other deposits or withdrawals, what is Matthews new account balance after 5 months of his subscription?
Answer:
500.05
Step-by-step explanation:
7.99 x 5 is of course 39.95 and 39.95 - 540 is 500.05 and that's on period
Determine the difference. 3/4 – 5/16 = ?
options:
7/4
12/16
7/16
7/0
Answer:
7/16
Step-by-step explanation:
Answer:
7/16 is the correct answer.
Step-by-step explanation:
3/4-5/16
=12-5/16 (taking LCM)
=7/16
Hope this helps you. Have a nice day. Please amrk as brainliest. It helps a lot.
Find the value of the equation.
12+−9
18
-18
3
-3
Answer:
.
Step-by-step explanation:
[tex]\frac{1}{\sqrt{2} } -\frac{\sqrt{2}}{3}[/tex]
A building has 2 front doors, 2 doors on the left side, 2 back doors and 2 doors on the right side. How many different ways can you enter and leave the building if you enter through the front door and then leave through any of the other doors?
12 because you can enter through 2 front doors. Let's call them A and B. You enter through A and you have 6 doors to leave through. You enter through B you have 6 doors to leave.
When 8 is added to the number that is produced by doubling the number x, the result is equal to 8 times the number
that is 5 less than x. What is the value of x?
Please help I will give you brainless please
Answer:
x=7 is the answer
Step-by-step explanation: