Answer:
D
Step-by-step explanation:
The standard form for a parabola is ax^2+bx+c. In this equation, b=0 and c=0. For g(x), you would plug in your y-value that was given (which is 4) and you would plug in your x-value that that given (which is 1). Use PEMDAS. The correct answer is the one that is true.
A. g(x) = (4x)^2
4 = (4(1))^2
4 = 16. (not true)
B. g(x) = 1/4 x^2
4 = 1/4 (1)^2
4 = 1/4 (not true)
C. g(x) = 16x^2
4 = 16(1)^2
4 = 16 (not true)
D. g(x) = 4x^2
4 = 4(1)^2
4 = 4. (true --> correct answer)
Write an question to represent:
one less than the quotient of four and a number x
Answer:
4/x-1
Step-by-step explanation:
so divide by x
so 4/x
less 1
4/x-1
Figure ABCD is a kite. Find the
value of x.
Answer:
x=5
Step-by-step explanation:
i think you posted this question twice, but here it is:
in order for this figure to truly be a kite, AD and AB have to be equal.
So:
4x=x+15
now we must solve the equation:
3x=15
x=5
Help please?!!!!!!!!
Answer:
12x + 3
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Combining Like TermsStep-by-step explanation:
Step 1: Define
6 + 4(3x - 2) + 5
Step 2: Simplify
Distribute 4: 6 + 12x - 8 + 5Combine like terms (Z): 12x + 3Henrik grew 3 times as many potatoes as Derek grew. Derek managed to grow 49 potatoes. Henrik already had 173 potatoes harvested from his other field. How many potatoes does Henrik have in all?
Answer: Henrik grew 147 more potatoes than Derek
Step-by-step explanation:
Your income determines your credit score
true or false
Your income determines your credit score
False.
Your income can sometimes affect your credit score, but it's not based on it. Your credit score is based on your Payment history, Credit history, and debt.
Find the orthocenter for the triangle described by each set of vertices.
K (3.-3), L (2,1), M (4,-3)
Plzz help ASAP!!!
I'll give brainliest if ur correct
Answer:
The orthocentre of the given vertices ( 2 , -3.5)
Step-by-step explanation:
Step(i):-
The orthocentre is the intersecting point for all the altitudes of the triangle.
The point where the altitudes of a triangle meet is known as the orthocentre.
Given Points are K (3.-3), L (2,1), M (4,-3)
The Altitudes are perpendicular line from one side of the triangle to the opposite vertex
The altitudes are MN , KO , LP
step(ii):-
Slope of the line
[tex]KL = \frac{y_{2}-y_{1} }{x_{2}-x_{1} } = \frac{1-(-3)}{2-3} = -4[/tex]
The slope of MN =
The perpendicular slope of KL
= [tex]\frac{-1}{m} = \frac{-1}{-4} = \frac{1}{4}[/tex]
The equation of the altitude
[tex]y - y_{1} = m( x-x_{1} )[/tex]
[tex]y - (-3) = \frac{1}{4} ( x-4 )[/tex]
4y +12 = x -4
x - 4 y -16 = 0 ...(i)
Step(iii):-
Slope of the line
[tex]LM = \frac{y_{2}-y_{1} }{x_{2}-x_{1} } = \frac{-3-1}{4-2} = -2[/tex]
The slope of KO =
The perpendicular slope of LM
= [tex]\frac{-1}{m} = \frac{-1}{-2} = \frac{1}{2}[/tex]
The equation of the altitude
[tex]y - y_{1} = m( x-x_{1} )[/tex]
The equation of the line passing through the point K ( 3,-3) and slope
m = 1/2
[tex]y - (-3) = \frac{1}{2} ( x-3 )[/tex]
2y +6 = x -3
x - 2y -9 =0 ....(ii)
Solving equation (i) and (ii) , we get
subtracting equation (i) and (ii) , we get
x - 4y -16 -( x-2y-9) =0
- 2y -7 =0
-2y = 7
y = - 3.5
Substitute y = -3.5 in equation x -4y-16=0
x - 4( -3.5) - 16 =0
x +14-16 =0
x -2 =0
x = 2
The orthocentre of the given vertices ( 2 , -3.5)
Find tan theta.
A.16/20
B.12/20
C.16/12
D.12/16
Answer:
16/12
Step-by-step explanation:
SOHCAHTOA
TOA - tan theta = Opposite/ Adjacent
Tan theta = 16/12
= 16/12
if you were told to find theta, then
tan inverse ( 16/12)
theta will be 53.13 degrees
The tangent of the given right angle triangle is [tex]\frac{16}{12}[/tex].
What is a right angle triangle?A right angle triangle is a triangle in which one of the three angles is a right angle.
What is the tangent of an angle in a right angle triangle?"In any right angle triangle, the tangent of an angle is the length of the opposite side (O) divided by the length of the adjacent side (A). In a formula, it is written simply as 'tan'."
Given, Base of the right angle triangle is = 12.
The height of the right angle triangle is = 16.
The hypotenuse of the right angle triangle is = 20.
The angle between the base of the triangle and the hypotenuse is = θ.
Now, tan θ
[tex]= \frac{Height}{Base}\\= \frac{16}{12}[/tex]
Therefore, tan θ of the given right angle triangle is [tex]\frac{16}{12}[/tex].
Learn more about the tangent of a right angle triangle here: https://brainly.com/question/3770177
#SPJ2
I NEED HELP IMMEDIATELY
Answer:
Between 80 and 160
Step-by-step explanation:
this is such a bad graph i honestly could not give you an exact answer
rectangular flower bed is 120 in long and 240 in wide how many plants are needed if they are to be spaced 16 in
Answer:
45 plants
Step-by-step explanation:
Given that:
Length of bed = 120 in
Width of bed = 240 in
Perimeter of a rectangle is given by :
P = 2(length + Width)
Therefore,
P = 2(120 + 240)
Perimeter = 720 inches
If a spacing of 16 inches will be used ; number of plants needed ;
Perimeter / 16
= 720 in / 16 in
= 45
3^15/3^3 Please help me again?
Which of the following best describes the slope of line that passes through the points (-3,8) and (-3,11)?
⭕️increasing
⭕️decreasing
⭕️zero
⭕️undefined
Answer:
undefined
Step-by-step explanation:
when x has the same number is undefined
but when y has the same is zero
A submarine out of death of 2167 feet ascends to a depth of 609ft. How far did the submarine ascend?
Answer:
A submarine was situated 800 feet below sea level. If it ascends 250 feet, what is its new ... Roman Civilization began in 508 B.C. and ended in 476 A.D. How long did Roman Civilization last? 476-(-508) = 476+508 = 984 ...
3/8-1/3
I rly need help and FAST
Answer:
Step-by-step explanation:
1/24
Which of the following has no solution?
(x + 1 < -1) ∩ (x + 1 < 1)
(x + 1 ≤ 1) ∩ (x + 1 ≥ 1)
(x + 1 < 1) ∩ (x + 1 > 1)
Answer:
(x + 1 ≤ 1) ∩ (x + 1 ≥ 1) (the second option)
Step-by-step explanation:
there are no elements that are contained in all of the intervals thus making the second expression have no solution
Using the numbers 3, 2, and 4, which of these problems would have a solution of 4?
Answer:
the answer would be A.
Step-by-step explanation:
4 * 2^3/2^3
4 * (2)(2)(2)/ (2)(2)(2)
4 * (4)(2)/ (4)(2)
4 * (8)/ (8)
4 * 1
=4
so yeah A is the correct answer.
what is the averageof 02.15 + 03.25 + 04.23 + 05.01 = 14.64? so what is the average of 14.64 basically.
Answer:
3.66
Step-by-step explanation:
You have four numbers which sum equals 14.64. Now you divide 14.64 by 4 to get 3.66, or the mean/average
Find the domain and range of the function represented by the graph.
DUE AT 11:59 I NEED HELP NOW
Find the sum or difference
(4y+3)-(y-2) do help me pls i can't remember how to do these
Answer:
3y + 1
Step-by-step explanation:
(4y + 3) - (y - 2)
*subtract y from 4y because like terms must be combined*
3y + 3 - 2
*subtract 2 from 3*
3y + 1
We are given the discrete-time sinusoidal segment {6.2 cos(0.75 pi n + 1), n = 0, . . . , (N - 1)}. For what values of N will the spectrum computed using the DFT have no spectral leakage?
Answer:
the values of N for which there will be no spectral leakage are;
N = Integers multiple by 8
Step-by-step explanation:
Given that;
discrete-time sinusoidal segment x[n] = 6.2cos(0.75πn + 1)
Using DFT to compute the spectrum
The spectral leakage will not be present in the spectrum if the product f₀Td is an integer.
Here, f₀ is sinusoid's frequency and Td is the segment duration
Now we calculate the period of the signal
2π/ω = 2π/0.75π
ω = 2 / 0.75
( × 4 )
ω = 8 / 3
Here, the numerator value is the period of the signal
T₀ = 8
The spectral leakage will not be present in the spectrum if N is the Integer multiple of period T₀.
Therefore, the values of N for which there will be no spectral leakage are;
N = Integers multiple by 8
Expand and simplify (x - 5)(x - 4)
Answer:
(x - 5) (x - 4)
x(x - 4) - 5(x -4)
x^2 - 4x - 5x - 20
x^2 - 9x - 20
Expand: x (x - 4) - 5 (x - 4)
Simplify: x^2 - 9x - 20
please aswnser asap asap
Answer:
B
Step-by-step explanation:
x ≥ 0
y ≥ 0
x + y ≤ 25
12x + 9y ≥ 275
hope this helps <3
a park is 50 metre long and 30 metre broad find its area and the cost of grassing it rupees 70 per square metre
Answer:
Area = 1500 Sq m
Cost of grassing = ₹105000
Step-by-step explanation:
Area of the park = 50*30 = 1500 Sq m
Cost of grassing = 1500*70 =₹ 105000
differences and similarities between obtuse angle and right angles
Maggie made the following quilt from 64 square pieces of fabric. 7.52 ft What is the side length of each square piece of fabric? Enter your answer in the box. feet
Answer:
Step-by-step explanation:
Maggie made the following quilt from 64 square pieces of fabric, what is the side length of each square piece
there are 120 voters 90 of them voted yes what percent voted yes
Answer:
75%
Step-by-step explanation:
There are 18 girls in mr. Brimley’s math class. If 60% of the students are girls, how many students are in mr. brimley’s math class?
Answer:
30
Step-by-step explanation:
Answer:
30
Step-by-step explanation:
If Z is a standard normal variable find the probability. The probability that Z lies between -0.558 and 0.558
Answer:
0.4245
Step-by-step explanation:
The probability that Z lies between -0.558 and 0.558 can be written as;
P(-0.558 < z < 0.558) = P(z < 0.558) - P(z < -0.558)
Using z - distribution table, we have;
P(z < 0.558) = 0.7122
P(z < -0.558) = 0.2877
Thus;
P(z < 0.558) - P(z < -0.558) = 0.7122 - 0.2877 = 0.4245
Please help!!!!!!!!!!!
Answer:
The ordered pair (15, 12) means that 15 pounds of beans cost $12.
Step-by-step explanation:
Ordered pairs are in the format of (x,y). The first number represents a point's position on the x-axis and the second represents a point's position on the y-axis. Also note that in this graph, the x-axis represents the weight of beans in pounds and the y-axis represents the cost of beans.
Knowing this, (15,12) means that 15 pounds of beans must cost $12.
find LCM of:
x2 - 9, 3x3 + 81
Answer:
[tex]\boxed{\pink{\sf (x + 3) \ is\ the \ LCM . }}[/tex]
Step-by-step explanation:
Given two expressions ,
[tex] \qquad (1)\: x^2 - 9 \\\\ \qquad (2)\:3x^3 + 81 [/tex]
And , we need to find the LCM , that is lowest common factor . So , let's factorise them seperately .
Factorising x² - 9 :-
[tex]= x^2 - 9 \\\\= x^2 - 3^2 \\\\ \red{= (x+3)(x-3)} \qquad\bf [Using \ a^2-b^2 = (a+b)(a-b) ][/tex]
Factorising 3x³ + 81
[tex]= 3x^3 + 81\\\\= 3(x^3+27) \\\\= 3( x^3+27) \\\\ = 3(x^3+3^3) \\\\ \red{= 3 [ (x+3)(x^2+9-3x) ] } \qquad \bf{[ Using \ a^3+b^3=(a+b)(a^2+b^2-ab) ] } [/tex]
Hence we can see that (x+3) is common factor in both expressions.
Hence the LCM is ( x+3 ) .