Step-by-step explanation:
As per MBTI personality people work
based on hunches and feelings use
their imagination and get the main
idea while missing some of the facts
are intuition
Use the drawing tool to form the correct answer on the provided graph plot the x-intercept y-intercept and axis of symmetry for the function below g(x) = x2+4x+3
Answer:
x-intercepts: x =-1, x=-3 when y=0
y-intercept, y=3, when x =0
axis of symmetry x = -2
Step-by-step explanation:
We are given the function: [tex]g(x) = x^2+4x+3[/tex]
We need to draw the graph for
x-intercept y-interceptaxis of symmetryof the given function.
x-interceptFor finding x-intercept put y=0, in the given function, we will put g(x) =0
We know that: g(x)=y
[tex]y=x^2+4x+3[/tex]
Putting y=0, we get:
[tex]0=x^2+4x+3[/tex]
Now, we need to solve the equation by factorization, to find value of x
[tex]0=x^2+4x+3\\We\:can\:write\\x^2+4x+3=0\\x^2+3x+x+3=0\\x(x+3)+1(x+3)=0\\(x+1)(x+3)=0\\x+1=0\:or\:x+3=0\\x=-1\:or\:x=-3[/tex]
So, we get x-intercepts: x =-1, x=-3 when y=0
y-interceptFor, finding y-intercept, put x =0
Putting x=0
[tex]g(x)=x^2+4x+3\\We\:know\:g(x)=y\\y=x^2+4x+3\\y=(0)^2+4(0)+3\\y=3[/tex]
So, we get y-intercept, y=3, when x =0
Axis of symmetryThe formula used to calculate axis of symmetry is: [tex]x = \frac{-b}{2a}[/tex]
We have b=4 and a = 1
Putting values and finding axis of symmetry
[tex]x =-\frac{b}{2a} \\x=-\frac{4}{2(1)}\\x=-2[/tex]
So, we get axis of symmetry x = -2
We will also be requiring vertex of the function:
We can find h = -b/2a (same as axis of symmetry) we get h =-2
k can be found as k=f(h)
Put h=-2 in the function:
g(-2)=(-2)^2+4(-2)+3
g(-2)=4-8+3
g(-2)=-1
So, we get k = -1
The vertex (h,k) is (-2,-1)
Now, the graph is attached in figure below.
2% as a decimal plssssssssssss help brainliest!
Evaluate if a = 2 , b = 3, and c = -4 :
ab +3c-b
Answer:
Evaluate if a = 2 , b = 3, and c = -4 :
Step-by-step explanation: that the answer
DeAndre bench pressed 300 pounds yesterday. Today, he was weak sauce and could only bench press 175 pounds. By what percent did the weights decrease? *
10 points
Answer:
75%
Step-by-step explanation:
Hamda and Layla get paid per project.
Hamda is paid a project fee of AED 25 plus AED 10.50 per hour.
Layla is paid a project fee of AED 18 plus AED 14.25 per hour.
Write an expression to represent how much a company will pay to hire both to work the same number of hours on a project.
Show your steps
Answer:
[tex]Company: 43 + 24.75h[/tex]
Step-by-step explanation:
Given
Hamda:
[tex]Project\ Fee = 25[/tex]
[tex]Hourly\ Rate = 10.50[/tex]
Layla:
[tex]Project\ Fee = 18[/tex]
[tex]Hourly\ Rate = 14.25[/tex]
Required
Derive an expression for total pay
Represent the number of hours with h.
For Hamda and Layla, their pay for h hours is:
[tex]Pay = Project\ Fee + Hourly\ Rate * h[/tex]
For Hamda, we have:
[tex]Hamda : 25 + 10.50 * h[/tex]
[tex]Hamda : 25 + 10.50 h[/tex]
For Layla, we have:
[tex]Layla: 18 + 14.25 * h[/tex]
[tex]Layla: 18 + 14.25 h[/tex]
For h hours, the company will pay:
[tex]Company: Hamda + Layla[/tex]
[tex]Company: 25 + 10.50h + 18 + 14.25h[/tex]
Collect like terms
[tex]Company: 25 + 18 + 10.50h + 14.25h[/tex]
[tex]Company: 43 + 24.75h[/tex]
all 3 are solve for x:
24.
25.
26.
24: x= 33
25: x=21
26: x= 11
Y-4x=9 in standard form
Answer: y - 4x = 9 in standard form is -y + 4x = -9
The prism and pyramid above have the same width, length, and height. The volume of the prism is 36 cm3. What is the volume of the pyramid?
A number y has a minimum of -2.5
a.>
b.<
c.≥
d.≤
Answer:
c.≥
Step-by-step explanation:
Minimum of means the number y can be -2.5 and higher, but it cannot be lower than -2.5.
≥ means more than or equal to.
> means more than only.
< means less than only.
≤ means less than or equal to.
Factor.
x^2−8x+16
(x−4)2
(x+8)^2
(x−8)^2
(x+4)^2
Answer:
A
Step-by-step explanation:
3x + y=5
6x -2y=10 Is it consistent/non consistent and need solution
once i see how to do one ill understand how to do others. thank you
Answer: These are non- consistent and can be solved. The signs of the y terms are the opposite.
Step-by-step explanation: If the signs are the same, and all the terms of one equation are multiples of the other, they are identies, with infinite solutions. We can solve this system by multiplying the first equation by 2, adding the equations to cancel the y terms, and solve for x.
2(3x+y=5) becomes
6x +2y= 10 Add it to the other equation
6x -2y= 10 We are left with
12x = 20 Solve for x
x = 5/3 Substitute for x and solve for y.
3(5/3) + y = 5
5 + y = 5. Subtract 5 from both sides.
y = 0
The solution to this system is (5/3 , 0)
5/8 - 1/2 =
1/8
2/3
1/2
An airplane makes a 2,748-mile flight in 6 hours. What is the airplane's average rate of speed in miles per hour?
Answer:
speed=16,480 miles per hour or 16,480/hour.
Step-by-step explanation:
Distance=speed ×time
I will give brainiest to whoever answers correctly !!
Answer:
it is not clear .... please add the question and send the link of the question
Answer:
$712.79
Step-by-step explanation:
i need help plz
State the coordinates of the point.
Answer:
(-5,8)
Step-by-step explanation:
Hope this helps ;)
The quotient of dividing a number by 4 is 5. Find the number.
Answer: 20
Step-by-step explanation:
A quotient is th value that is gotten when two numbers are divided. Based on the information given in the question, let the number be represented by x.
Therefore, x/4 = 5
x = 4 × 5
x = 20
The number is 20
Please help ASAP! Will give brainlist
Order from least to greatest: 1.643, 0.15, 1.18, 0.23
how many hours and minutes are there between 9:30 and 1:50
Answer:
4 hours and 20 minutes!
Answer:
Step-by-step explanation:
PM or AM?
If it is 9:30 AM to 1:50 PM, it is 4 hours and 20 minutes.
if it is 9:30 PM to 1:50 AM, it is also 4 hours and 20 minutes.
If it is 9:30am to 1:50 AM, it is 16 hours and 20 minutes.
A house sits on a rectangular piece of land. Two of the sides measure 104 feet each. If all four sides add to 576 feet, how long is each of the other two sides? Write and solve an equation.
Answer:
Each of the other side is 184 feet.
Step-by-step explanation:
Given that:
Length of two sides each = 104 feet
Total length of all sides = 576 feet
Let,
x be the length of other one side.
Length of other two sides will be 2x.
Total length of sides = 2x + 2(104)
576 = 2x + 208
2x = 576 -208
2x = 368
Dividing both sides by 2
[tex]\frac{2x}{2}=\frac{368}{2}\\x=184[/tex]
Hence,
Each of the other side is 184 feet.
-2v3 + v75
How do I solve this and what would be the answer
Answers are either
3 √3
25 √3
-25 √3
-3 √3
Answer:
a) [tex]3\sqrt{3}[/tex]
Step-by-step explanation:
Step(i):-
Given - 2 √3 + √75
we know that 25 × 3 = 75
- 2 √3 + √75
= -2 √3 + [tex]\sqrt{25 X 3}[/tex]
By using
[tex]\sqrt{ab} = \sqrt{a} \sqrt{b}[/tex]
= [tex]-2\sqrt{3} + \sqrt{25} X \sqrt{3}[/tex]
= [tex]-2\sqrt{3} + 5 \sqrt{3}[/tex]
= [tex](-2 + 5 ) \sqrt{3}[/tex]
= [tex]3\sqrt{3}[/tex]
What do we do with the 500
Answer:
Lol
Step-by-step explanation:
Freeeeeeee3ee points
A 5-yard roll of brown paper costs $0.55. What is the unit price?
Answer:
0.11 per yard.
Step-by-step explanation:
In ΔVWX, x = 160 cm, v = 150 cm and ∠W=77°. Find the length of w, to the nearest centimeter. PLEASE HURRY
Answer:
193
Step-by-step explanation:
according to the question
w²=x²+v²-2xv.cos(<w)
w=√160²+150²-2.160.150.cos(77)°
w=√48100-48000cos(77°)
w=193
Answer:
193
Step-by-step explanation:
delta math
The town librarian bought a combination of new-release movies on DVD for $20 and classic movies on DVD for $8. Let
x represent the number of new releases, and let y represent the number of classics. If the librarian had a budget of
$500 and wanted to purchase as many DVDs as possible, which values of x and y could represent the number of
new-release and classic movies bought?
O x = 8, y = 45
O x = 10, y = 22
O x= 16, y = 22
O x = 18, y = 18
Answer:
Step-by-step explanation:
he is right i got a 100 in the test
The number of new-release movies on DVD is 16 and the number of classic movies on DVD is 22 option third x= 16, y = 22 is correct.
What is linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have:
New-release movies on DVD for $20 and classic movies on DVD for $8
x - the number of new releases,
y - he number of classics.
20x + 8y = 500
or
5x + 2y = 125
Using trial and error method:
Plug x = 16 and y = 22
5(16) + 2(22) = 125
= 80 + 44
= 124
Nearest to 125
Thus, the number of new-release movies on DVD is 16 and the number of classic movies on DVD is 22 option third x= 16, y = 22 is correct.
Learn more about the linear equation here:
brainly.com/question/11897796
#SPJ2
how do you simplify this radical (4x^2y)^1/3 and have no negative exponents?
Answer:
4^(1/3) x^(2/3) y^(1/3)
Step-by-step explanation:
why would you expect negative exponents? Just pultiply powers
Alex drew the triangles shown. Which of the following correctly describes the triangles?
Answer: wheres the attachment..
Step-by-step explanation:
The sum of four times a number and fifteen is forty-seven. Find the number.
Answer:
8 is the number
Step-by-step explanation:
I don't know why it took me so long to figure it out, 4 x 8 = 32 32 + 15 = 47
It probably took me a really long time because I am tired, and I am not using a calculator.
Solve for s.
3 = s - 2
s=
Answer:
3 = s - 2
s = 3 - 2
s = 1
what was hard lol
Pls help
Find the quotient of 4.13 × 10^−8 and 0.04 × 10^5. In two or more complete sentences, explain each step in your calculations. Include the quotient as part of your final answer.
Answer:
[tex]q=1.03\times 10^{-11}[/tex]
Step-by-step explanation:
Given that,
First number [tex]=4.13\times 10^{-8}[/tex]
Second number [tex]=0.04\times 10^{5}[/tex]
We need to find the quotient of first and the second number. It can be calculated by taking [tex]=4.13\times 10^{-8}[/tex] at numerator and [tex]=0.04\times 10^{5}[/tex] at denominator such that,
[tex]q=\dfrac{4.13\times 10^{-8}}{0.04\times 10^5}\\\\=\dfrac{4.13}{0.04}\times 10^{-8-5}\\\\=103.25\times 10^{-13}[/tex]
or
[tex]q=1.03\times 10^{-11}[/tex]
So, the final answer is [tex]1.03\times 10^{-11}[/tex]