Answer:
-60x
Step-by-step explanation:
The vertex of this parabola is at (-1,-3). Which of the following could be its
equation?
(-1, -3)
O A. X=-2(y+3)2-1
B. x=-2(y - 3)2 - 1
C. X=-2(y + 1)2-3
D. X = -2(y - 1)2-3
Answer:
Step-by-step explanation:
Y equals mx plus b
Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form.
Answer:
Slope = 2/3
Step-by-step explanation:
See the image attached below.
The red line represents the "run".
The blue line represents the "rise".
Slope = rise/run
Rise = 4 units
Run = 6 units
Slope = 4/6
Simplify
Slope = 2/3
p(x),f(x),g(x) are parabolas with positive coefficient, each pair of parabolas got common rational root, how to proof that p(x)+f(x)+g(x) have a rational root?
Answer:
[tex]{ \tt{p(x) : {y}^{2} = 4ax}} \\ { \tt{f(x) : {(y')}^{2} = 4a {x}'}} \\ { \tt{g(x) : {(y'')}^{2} = 4ax''}} \\ { \bf{since \: they've \: a \: common \: root}} : \\ {y}^{ 2} = {(y')}^{2} = {(y'')}^{2} \\ = > { \tt{4ax + 4ax' + 4ax''}} \\ = 4a(x + x' + x'') \\ common \: root \: is \: 4a \\ { \tt{ \infin {}^{ - } \leqslant 4a \leqslant \infin {}^{ + } }}[/tex]
Calculate the exact value of number one
Answer:
3/ 20
Step-by-step explanation:
4 1/5 × 1/3 - 1 1/4
= 21/5 × 1/3 - 1/5
= 7/5 - 5/4 = 28 - 25/ 20 = 3/20
= 3/20
The sales tax rate for the state of Washington was 7.6%.
What is the state sales tax on a $5,300 car in WashingtoN
What is the final cost of the car, including tax?
Answer:
Sales tax: 402.80 Final cost: 5,702.80
Step-by-step explanation:
Sales price x sales tax rate = sales tax
5300 x .076 (7.6%) = 402.80
Sales price + tax = final cost
5300 + 402.80 = 5702.80
Iff a projectile has a maximum range of 40 metres , find its speed of projection . ([tex]g = 10ms^-^2[/tex])
.[tex]0.5 ms^-^1\\2ms^-^1\\\\4ms^-^1\\\\20ms^-^1\\\\400ms^-^1[/tex]
its speed of projection is 20 ms^(-1)
Answer:
Solution given:
maximum range=40m
u²sin90°/g=40
u²*sin90°/10=40
u²=40*10
u=[tex]\sqrt{400}=20m/s[/tex]
Neeeeed helpppppppppp
Answer:
The answer is x = -3.
Step-by-step explanation:
To solve for (x), start by realizing that line segment IJ and line segment JK sum up to line segment IK, which equals 5. These line segments can then be turned into an equation, and the equation will look like [tex]7+x+2x+7=5[/tex].
Next, begin to solve the equation by combining like terms, which will look like [tex]3x+14=5[/tex]. Then, subtract 14 from both sides of the equation, which will look like [tex]3x=-9[/tex], and divide both sides by 3 and simplify, which will look like [tex]x=-3[/tex]. The final answer is x = -3.
Help, please answer this for me
Answer:
For this problem, we need to add to the price of the phone (50 $) the cost of the data usage (which is 0.20 $ per minute).
If he spends on average 200 minutes, we can calculate what that costs by multiplying the number of minutes by the cost of each one: 200 * 0.2 = $40
And we can now add to the $50 the $40: 50 + 40 = $90
Answer:
$40
Step-by-step explanation:
$.20×200=$40
it's pretty simple
Y varies directly with the square of x. If y=40 when x=4, find y when x=7
Answer:
y = 245/2
Step-by-step explanation:
y = k x^2
Where k is the constant of variation
Let y= 40 and x=4
40 = k *(4)^2
40 = k*16
40/16 = k
5/2 = k
y =5/2 x^2
Let x=7
y = 5/2 (7)^2
y = 5/2(49)
y = 245/2
Which equation in slope-intercept form represents a line that passes through the point (2,3) and is parallel to the line y-9=2/3(x+7)
Answer:
y=(2/3)x+5/3
Step-by-step explanation:
y-9=2/3(x+7)
y=(2/3)x+14/3+9
The slope of this line is 2/3, and if a line is parallel to this line, their slopes are the same. So the line is:
y=(2/3)x+b (where b is the y-intercept)
We can plug in the values (2,3) into this equation to find b:
3=(2/3)*2+b
3=4/3+b
b=5/3
The equation is: y=(2/3)x+5/3
help asap please ----------------
Answer:
-1 Not in domain
0 In domain
1 In domain
Step-by-step explanation:
The domain for the square root function is all positive numbers including (0). The domain is the set of real numbers which when substituted into the function will produce a real result. While one can substitute a negative number into the square root function and get a result, however, the result will be imaginary. Therefore, the domain for the square root function is all positive numbers. It can simply be expressed with the following inequality:
[tex]x\geq0[/tex]
Therefore, one can state the following about the given numbers. Evaluate if the number is greater than or equal to zero, if it is, then it is a part of the domain;
-1 => less than zero; Not in domain
0 => equal to zero; In domain
1 => greater than zero: In domain
Need help for this question pleaseeee
9514 1404 393
Answer:
y = 27·x² or (a, n) = (27, 2)
Step-by-step explanation:
Taking the log (base 3) of the given equation, we have ...
[tex]\log_3(y)=n\cdot\log_3(x)+\log_3(a)[/tex]
Using the points given on the graph, we have 2 equations in n and 'a'.
3 = n·0 +log₃(a) . . . . . log₃(y) = 3, log₃(x) = 0
a = 3³ = 27
and
7 = n·2 +3 . . . . . log₃(y) = 7, log₃(x) = 2
4 = 2n
2 = n
The values of a and n are 27 and 2, respectively.
What value of x is in the solution set of 2x – 3 > 11 – 5x?
• -3
• 0
• 2
• 4
Hello!
2x - 3 > 11 - 5x
2x + 5x > 11 + 3
7x > 11 + 3
7x > 14
x > 14 : 7
x > 2
x = 4 → the solution
Good luck! :)
help with this question please
What are the factors of 2x2 + 3x - 54? Select two options.
2x - 9
2x - 6
O 2x + 6
OX-6
O x + 6
Step-by-step explanation:
Therefore, the factors are x + 6 and 2x − 9.
The factors of the polynomial are (2x-9)(x+6)
What is factor?Factors are the numbers that can divide a number exactly. Hence, after division, there is no remainder left. Factors are the numbers you multiply together to get another number. Thus, a factor is the divisor of another number.
Given is a polynomial 2x²+3x-54, we need to find its factors,
So,
Factors :-
= 2x²+3x-54
= 2x²+12x-9x-54
= 2x(x+6)-9(x+6)
= (2x-9)(x+6)
Hence, the factors of the polynomial are (2x-9)(x+6)
Learn more about factors, click;
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The inverse of the relation y = 2x + 3 can be obtained graphically by:
The inverse of a function can be determined graphically by reflecting the graph over line y =x, the correct option is D.
What is an Inverse Function?An inverse of a function can be determined by interchanging variables in the function, y is interchanged by x in an f(x,y) function and then the equation is solved for y to determine the inverse of a function.
The equation is y = 2x+3
The inverse of a function is determined graphically the graph will be reflected in the line y =x.
The graph is attached with the answer.
Therefore, the correct option is D.
To know more about Inverse Function
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Help me please guys
Answer:
1st box is -4
2nd box is -4
3rd box is 3
4th box is -1
Answer: 15x squared -4x-3
rewrite the expression
15x squared + 5x-9x-3
factor the expressions
5x × (3x+1)-3(3x+1)
factor the expression
solution
(3x + 1) × (5x - 3)
algebra 2 help pls answer
Answer:
The volume of this rectangular prism equals [tex]V = 20x^{4} + 20x^{3} + 40x^{2}[/tex]
Step-by-step explanation:
In order to solve this question, we have to use the formula provided in the question to find out the volume of the rectangular prism. The formula goes as follows...
V = l × w × h (where "l" is the length, "w" is the width, and "h" is height.
From the question, we know that...
l = 4x
w = 5x
h = [tex]x^{2} + x + 2[/tex]
Now we just have to substitute all of these values into the equation and we get that...
V = l × w × h
V = 4x × 5x × [tex](x^{2} + x +2)[/tex]
[tex]V = (20x^{2})(x^{2} + x + 2)\\V = 20x^{4} + 20x^{3} + 40x^{2}[/tex]
Therefore, The volume of this rectangular prism equals [tex]V = 20x^{4} + 20x^{3} + 40x^{2}[/tex]
Which of the following are exterior angles?
Answer:
3,4
Step-by-step explanation:
if you roll a single die and get 4 fives in a row what is the probability that you would get a 5 on the next roll
Answer
(1/6)⁴ = 1/1296
Step-by-step explanation:
robabilty of getting a 5 in a throw of dice is 1/6 . So, the required probability of getting 4 5’s in rolling a dice 4 times is (1/6)4
I need help ASAP !!!!
can someone please help me..
Answer:
A. It acts perpendicular to an object
If a Polyhedron had 58 edges and the same Number of faces as its Vertices , How many faces does it have?
Answer: 30
Step-by-step explanation:
Given
Polyhedron has (E)58 edges
It has same number of faces and vertices
Using Euler's formula
[tex]\Rightarrow V-E+F=2[/tex]
where
V=no of vertices
E=no of edges
F=no of edges
Suppose there are x faces
Insert the values
[tex]\Rightarrow x-58+x=2\\\Rightarrow 2x=60\\\Rightarrow x=30[/tex]
Thus, polyhedron has 30 faces.
Answer:
30
Step-by-step explanation:
id like some help here... if possible.
Answer:
use average seep hours
top = 77/12 = 6.4 (most)
middle = 6 (middle)
bottom = 50/9 = 5.5 (least)
Step-by-step explanation:
if f(x)=xsquare find f inverse x
Find mCFB
Help me please
Answer:
A
Step-by-step explanation:
<CPA = 50o Given
<FPB = 50o Vertically opposite a 50 degree angle
<CPF = 90o Given
<CPB = <FPB + <CPF Given or found
<CPB = 50 + 90 Substitute
<CPB = 140o
use the elimination method to solve the system of equations choose the correct ordered pair 7x+4y=39 2y+4y=14
[tex]x = 5 \: and \: y = 1.[/tex]
Step-by-step explanation:
[tex]7x + 4y = 39 \: - {eq}^{n} (1)[/tex]
[tex]2x + 4y = 14 \: \: - {eq}^{n} (2)[/tex]
Multiply Equation no (1) with 2 and Equation no (2) with 7.
[tex]14 x + 8y = 78.[/tex]
[tex]14x + 28y = 98.[/tex]
[tex]( - ) \: \: \: ( - ) \: \: \: ( - )[/tex]
[tex]0x + -20y = - 20[/tex]
[tex] - 20y = - 20[/tex]
[tex]y = \frac{ - 20}{ - 20} [/tex]
[tex]y = 1[/tex]
Substitute the value of "y" in Equation no (1)
[tex]7x + 4y = 39.[/tex]
[tex]7x + 4(1) = 39.[/tex]
[tex]7x + 4 = 39.[/tex]
[tex]7x = 39 - 4[/tex]
[tex]7x = 35.[/tex]
[tex]x = \frac{35}{7} [/tex]
[tex]x = 5.[/tex]
Answer:
[tex] \: 7x+4y=39 2x+4y=14 A. 5,4 B. 3,2 C. 5,1 D.[/tex]
Hope it helps
I didn't get how you wrote 1.75 like how did it come there?
Answer:
Uhh what??
Step-by-step explanation:
Do you mean like 1.75 in a decimal form??
If n orange juice is made up of concentrate and water in the ratio 3:8. What fraction of the mixture is concentrate?
Answer:your answer should be 2
Step-by-step explanation:
This frequency table represents the number of cars owned by each family on a street.
What is the mean number of the cars owned by each family?
A. 2.5
B. 3
C. 4
D. 5.5
Step-by-step explanation:
1+2+3+4+5=14 divided by 5=2.8 so, A.would be your answer.