Answer: y = $50x + 100
$100 is the y-intercept$50 is the slopeuse 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
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
[tex]find \: the \: volume \: of \: cylinder \\ \\ radius \: = 4 \: cm \\ \\ height \: = \: 10 \: cm \: \\ \\ [/tex]
if f(x)=xsquare find f inverse x
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
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
help with this question please
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]
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??
can someone please help me..
Answer:
A. It acts perpendicular to an object
Given f(x) = x^3 - 9x and g(x) = x^2, choose
the expression for (fºg)(x).
Answer and Step-by-step explanation:
We are given two functions, f and g. We are asked to find the value of f evaluated at g(x).
Here, we need to plug in every value of x in f(x) with the value of g(x).
f(g(x)) = [tex](x^2)^3-9(x^2)[/tex]
An exponent raised by an exponent results in the exponents multiplying together.
f(g(x)) = [tex]x^6 - 9x^2[/tex] <- This is the final answer.
I hope this helps!
#teamseas #PAW (Plant And Water)
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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Which of the following are exterior angles?
Answer:
3,4
Step-by-step explanation:
BRAINLEST IF CORRECT!!!!which of the d-values satisfy the following inequality? d/5>4
Answer:
d = 25
Step-by-step explanation:
[tex]\frac{d}{5} >4[/tex]
The value of d has to satisfy the inequality
so replace d with one of the given options
[tex]\frac{25}{5} >4[/tex]
We have to simplify the fraction first
[tex]\frac{25}{5} =5>4[/tex]
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]
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:
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
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! :)
Use the drop-down menus to describe the key aspects of the function
f(x) = –x2 – 2x – 1.
Answer:
Step-by-step explanation:
Given function is,
f(x) = -x² - 2x - 1
= -(x² + 2x + 1)
= -(x + 2)²
Comparing this equation with the vertex form of a quadratic function,
f(x) = a(x - h)² + k
Here, (h, k) is the vertex.
Vertex of the function is (-2, 0)
Leading coefficient of the function = -1
Therefore, parabola will open downwards.
Function will be increasing in the interval (-∞, -2).
Function will be decreasing in the interval (-2, -∞).
Domain of the function → (-∞, ∞)
Range of the function → (-∞, 0]
Answer:
Step-by-step explanation:
edge
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
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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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
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
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
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]
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:
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:
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.
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
